comparison share/units.dat @ 0:e037173e0012

Initial import.
author HackBot
date Thu, 16 Feb 2012 19:42:32 +0000
parents
children
comparison
equal deleted inserted replaced
-1:000000000000 0:e037173e0012
1 #
2 # This file is the units database for use with GNU units, a units conversion
3 # program by Adrian Mariano adrian@cam.cornell.edu
4 #
5 # 14 February 2010 Version 1.50
6 #
7 # Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2004, 2005, 2006
8 # 2007, 2008, 2009, 2010
9 # Free Software Foundation, Inc
10 #
11 # This program is free software; you can redistribute it and/or modify
12 # it under the terms of the GNU General Public License as published by
13 # the Free Software Foundation; either version 3 of the License, or
14 # (at your option) any later version.
15 #
16 # This program is distributed in the hope that it will be useful,
17 # but WITHOUT ANY WARRANTY; without even the implied warranty of
18 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19 # GNU General Public License for more details.
20 #
21 # You should have received a copy of the GNU General Public License
22 # along with this program; if not, write to the Free Software
23 # Foundation, Inc., 51 Franklin Street, Fifth Floor,
24 # Boston, MA 02110-1301 USA
25 #
26 ############################################################################
27 #
28 # Improvements and corrections are welcome.
29 #
30 # Most units data was drawn from
31 # 1. NIST Special Publication 811, 1995 Edition
32 # 2. CRC Handbook of Chemistry and Physics 70th edition
33 # 3. Oxford English Dictionary
34 # 4. Websters New Universal Unabridged Dictionary
35 # 5. Units of Measure by Stephen Dresner
36 # 6. A Dictionary of English Weights and Measures by Ronald Zupko
37 # 7. British Weights and Measures by Ronald Zupko
38 # 8. Realm of Measure by Isaac Asimov
39 # 9. United States standards of weights and measures, their
40 # creation and creators by Arthur H. Frazier.
41 # 10. French weights and measures before the Revolution: a
42 # dictionary of provincial and local units by Ronald Zupko
43 # 11. Weights and Measures: their ancient origins and their
44 # development in Great Britain up to AD 1855 by FG Skinner
45 # 12. The World of Measurements by H. Arthur Klein
46 # 13. For Good Measure by William Johnstone
47 # 14. NTC's Encyclopedia of International Weights and Measures
48 # by William Johnstone
49 # 15. Sizes by John Lord
50 # 16. Sizesaurus by Stephen Strauss
51 # 17. CODATA Recommended Values of Physical Constants available at
52 # http://physics.nist.gov/cuu/Constants/index.html
53 # 18. How Many? A Dictionary of Units of Measurement. Available at
54 # http://www.unc.edu/~rowlett/units/index.html
55 # 19. Numericana. http://www.numericana.com
56 # 20. UK history of measurement
57 # http://www.ukmetrication.com/history.htm
58 #
59 # Thanks to Jeff Conrad for assistance in ferreting out unit definitions.
60 #
61 ###########################################################################
62 #
63 # If units you use are missing or defined incorrectly, please contact me.
64 #
65 # I added shoe size information but I'm not convinced that it's correct.
66 # If you know anything about shoe sizes please contact me.
67 #
68 ###########################################################################
69
70 ###########################################################################
71 # #
72 # Primitive units. Any unit defined to contain a '!' character is a #
73 # primitive unit which will not be reduced any further. All units should #
74 # reduce to primitive units. #
75 # #
76 ###########################################################################
77
78 #
79 # SI units
80 #
81
82 kg ! # Mass of the international prototype
83 kilogram kg
84
85 s ! # Duration of 9192631770 periods of the radiation
86 second s # corresponding to the transition between the two hyperfine
87 # levels of the ground state of the cesium-133 atom
88
89 m ! # Length of the path traveled by light in a vacuum
90 meter m # during 1|299792458 seconds. Originally meant to be
91 # 1e-7 of the length along a meridian from the equator
92 # to a pole.
93
94 A ! # The current which produces a force of 2e-7 N/m between two
95 ampere A # infinitely long wires that are 1 meter apart
96 amp ampere
97
98 cd ! # Luminous intensity in a given direction of a source which
99 candela cd # emits monochromatic radiation at 540e12 Hz with radiant
100 # intensity 1|683 W/steradian. (This differs from radiant
101 # intensity (W/sr) in that it is adjusted for human
102 # perceptual dependence on wavelength. The frequency of
103 # 540e12 Hz (yellow) is where human perception is most
104 # efficient.)
105
106 mol ! # The amount of substance of a system which contains as many
107 mole mol # elementary entities as there are atoms in 0.012 kg of
108 # carbon 12. The elementary entities must be specified and
109 # may be atoms, molecules, ions, electrons, or other
110 # particles or groups of particles. It is understood that
111 # unbound atoms of carbon 12, at rest and in the ground
112 # state, are referred to.
113
114 K ! # 1|273.16 of the thermodynamic temperature of the triple
115 kelvin K # point of water
116
117 #
118 # The radian and steradian are defined as dimensionless primitive units.
119 # The radian is equal to m/m and the steradian to m^2/m^2 so these units are
120 # dimensionless. Retaining them as named units is useful because it allows
121 # clarity in expressions and makes the meaning of unit definitions more clear.
122 # These units will reduce to 1 in conversions but not for sums of units or for
123 # arguments to functions.
124 #
125
126 radian !dimensionless # The angle subtended at the center of a circle by
127 # an arc equal in length to the radius of the
128 # circle
129 sr !dimensionless # Solid angle which cuts off an area of the surface
130 steradian sr # of the sphere equal to that of a square with
131 # sides of length equal to the radius of the
132 # sphere
133
134 #
135 # Some primitive non-SI units
136 #
137
138 US$ ! # The US dollar is chosen arbitrarily to be the primitive
139 # unit of money.
140
141 bit ! # Basic unit of information (entropy). The entropy in bits
142 # of a random variable over a finite alphabet is defined
143 # to be the sum of -p(i)*log2(p(i)) over the alphabet where
144 # p(i) is the probability that the random variable takes
145 # on the value i.
146
147 ###########################################################################
148 # #
149 # Prefixes (longer names must come first) #
150 # #
151 ###########################################################################
152
153 yotta- 1e24 # Greek or Latin octo, "eight"
154 zetta- 1e21 # Latin septem, "seven"
155 exa- 1e18 # Greek hex, "six"
156 peta- 1e15 # Greek pente, "five"
157 tera- 1e12 # Greek teras, "monster"
158 giga- 1e9 # Greek gigas, "giant"
159 mega- 1e6 # Greek megas, "large"
160 myria- 1e4 # Not an official SI prefix
161 kilo- 1e3 # Greek chilioi, "thousand"
162 hecto- 1e2 # Greek hekaton, "hundred"
163 deca- 1e1 # Greek deka, "ten"
164 deka- deca
165 deci- 1e-1 # Latin decimus, "tenth"
166 centi- 1e-2 # Latin centum, "hundred"
167 milli- 1e-3 # Latin mille, "thousand"
168 micro- 1e-6 # Latin micro or Greek mikros, "small"
169 nano- 1e-9 # Latin nanus or Greek nanos, "dwarf"
170 pico- 1e-12 # Spanish pico, "a bit"
171 femto- 1e-15 # Danish-Norwegian femten, "fifteen"
172 atto- 1e-18 # Danish-Norwegian atten, "eighteen"
173 zepto- 1e-21 # Latin septem, "seven"
174 yocto- 1e-24 # Greek or Latin octo, "eight"
175
176 quarter- 1|4
177 semi- 0.5
178 demi- 0.5
179 hemi- 0.5
180 half- 0.5
181 double- 2
182 triple- 3
183 treble- 3
184
185 kibi- 2^10 # In response to the convention of illegally
186 mebi- 2^20 # and confusingly using metric prefixes for
187 gibi- 2^30 # powers of two, the International
188 tebi- 2^40 # Electrotechnical Commission aproved these
189 pebi- 2^50 # binary prefixes for use in 1998. If you
190 exbi- 2^60 # want to refer to "megabytes" using the
191 Ki- kibi # binary definition, use these prefixes.
192 Mi- mebi
193 Gi- gibi
194 Ti- tebi
195 Pi- pebi
196 Ei- exbi
197
198 Y- yotta
199 Z- zetta
200 E- exa
201 P- peta
202 T- tera
203 G- giga
204 M- mega
205 k- kilo
206 h- hecto
207 da- deka
208 d- deci
209 c- centi
210 m- milli
211 u- micro # it should be a mu but u is easy to type
212 n- nano
213 p- pico
214 f- femto
215 a- atto
216 z- zepto
217 y- yocto
218
219 #
220 # Names of some numbers
221 #
222
223 one 1
224 two 2
225 double 2
226 couple 2
227 three 3
228 triple 3
229 four 4
230 quadruple 4
231 five 5
232 quintuple 5
233 six 6
234 seven 7
235 eight 8
236 nine 9
237 ten 10
238 eleven 11
239 twelve 12
240 thirteen 13
241 fourteen 14
242 fifteen 15
243 sixteen 16
244 seventeen 17
245 eighteen 18
246 nineteen 19
247 twenty 20
248 thirty 30
249 forty 40
250 fifty 50
251 sixty 60
252 seventy 70
253 eighty 80
254 ninety 90
255 hundred 100
256 thousand 1000
257 million 1e6
258
259 # These number terms were described by N. Chuquet and De la Roche in the 16th
260 # century as being successive powers of a million. These definitions are still
261 # used in most European countries. The current US definitions for these
262 # numbers arose in the 17th century and don't make nearly as much sense. These
263 # numbers are listed in the CRC Concise Encyclopedia of Mathematics by Eric
264 # W. Weisstein.
265
266 shortbillion 1e9
267 shorttrillion 1e12
268 shortquadrillion 1e15
269 shortquintillion 1e18
270 shortsextillion 1e21
271 shortseptillion 1e24
272 shortoctillion 1e27
273 shortnonillion 1e30
274 shortnoventillion shortnonillion
275 shortdecillion 1e33
276 shortundecillion 1e36
277 shortduodecillion 1e39
278 shorttredecillion 1e42
279 shortquattuordecillion 1e45
280 shortquindecillion 1e48
281 shortsexdecillion 1e51
282 shortseptendecillion 1e54
283 shortoctodecillion 1e57
284 shortnovemdecillion 1e60
285 shortvigintillion 1e63
286
287 centillion 1e303
288 googol 1e100
289
290 longbillion million^2
291 longtrillion million^3
292 longquadrillion million^4
293 longquintillion million^5
294 longsextillion million^6
295 longseptillion million^7
296 longoctillion million^8
297 longnonillion million^9
298 longnoventillion longnonillion
299 longdecillion million^10
300 longundecillion million^11
301 longduodecillion million^12
302 longtredecillion million^13
303 longquattuordecillion million^14
304 longquindecillion million^15
305 longsexdecillion million^16
306 longseptdecillion million^17
307 longoctodecillion million^18
308 longnovemdecillion million^19
309 longvigintillion million^20
310
311 # These numbers fill the gaps left by the long system above.
312
313 milliard 1000 million
314 billiard 1000 million^2
315 trilliard 1000 million^3
316 quadrilliard 1000 million^4
317 quintilliard 1000 million^5
318 sextilliard 1000 million^6
319 septilliard 1000 million^7
320 octilliard 1000 million^8
321 nonilliard 1000 million^9
322 noventilliard nonilliard
323 decilliard 1000 million^10
324
325 # For consistency
326
327 longmilliard milliard
328 longbilliard billiard
329 longtrilliard trilliard
330 longquadrilliard quadrilliard
331 longquintilliard quintilliard
332 longsextilliard sextilliard
333 longseptilliard septilliard
334 longoctilliard octilliard
335 longnonilliard nonilliard
336 longnoventilliard noventilliard
337 longdecilliard decilliard
338
339 # The long centillion would be 1e600. The googolplex is another
340 # familiar large number equal to 10^googol. These numbers give overflows.
341
342 #
343 # The short system prevails in English speaking countries
344 #
345
346 billion shortbillion
347 trillion shorttrillion
348 quadrillion shortquadrillion
349 quintillion shortquintillion
350 sextillion shortsextillion
351 septillion shortseptillion
352 octillion shortoctillion
353 nonillion shortnonillion
354 noventillion shortnoventillion
355 decillion shortdecillion
356 undecillion shortundecillion
357 duodecillion shortduodecillion
358 tredecillion shorttredecillion
359 quattuordecillion shortquattuordecillion
360 quindecillion shortquindecillion
361 sexdecillion shortsexdecillion
362 septendecillion shortseptendecillion
363 octodecillion shortoctodecillion
364 novemdecillion shortnovemdecillion
365 vigintillion shortvigintillion
366
367
368
369 #############################################################################
370 # #
371 # Derived units which can be reduced to the primitive units #
372 # #
373 #############################################################################
374
375
376
377 #
378 # Named SI derived units (officially accepted)
379 #
380
381 newton kg m / s^2 # force
382 N newton
383 pascal N/m^2 # pressure or stress
384 Pa pascal
385 joule N m # energy
386 J joule
387 watt J/s # power
388 W watt
389 coulomb A s # charge
390 C coulomb
391 volt W/A # potential difference
392 V volt
393 ohm V/A # electrical resistance
394 siemens A/V # electrical conductance
395 S siemens
396 farad C/V # capacitance
397 F farad
398 weber V s # magnetic flux
399 Wb weber
400 henry Wb/A # inductance
401 H henry
402 tesla Wb/m^2 # magnetic flux density
403 T tesla
404 hertz /s # frequency
405 Hz hertz
406
407 #
408 # Dimensions. These are here to help with dimensional analysis and
409 # because they will appear in the list produced by hitting '?' at the
410 # "You want:" prompt to tell the user the dimension of the unit.
411 #
412
413 LENGTH meter
414 AREA LENGTH^2
415 VOLUME LENGTH^3
416 MASS kilogram
417 CURRENT ampere
418 AMOUNT mole
419 ANGLE radian
420 SOLID_ANGLE steradian
421 MONEY US$
422 FORCE newton
423 PRESSURE FORCE / AREA
424 STRESS FORCE / AREA
425 CHARGE coulomb
426 CAPACITANCE farad
427 RESISTANCE ohm
428 CONDUCTANCE siemens
429 INDUCTANCE henry
430 FREQUENCY hertz
431 VELOCITY LENGTH / TIME
432 ACCELERATION VELOCITY / TIME
433 DENSITY MASS / VOLUME
434 LINEAR_DENSITY MASS / LENGTH
435 VISCOSITY FORCE TIME / AREA
436 KINEMATIC_VISCOSITY VISCOSITY / DENSITY
437
438
439 #
440 # units derived easily from SI units
441 #
442
443 gram millikg
444 gm gram
445 g gram
446 tonne 1000 kg
447 t tonne
448 metricton tonne
449 sthene tonne m / s^2
450 funal sthene
451 pieze sthene / m^2
452 quintal 100 kg
453 bar 1e5 Pa # About 1 atm
454 vac millibar
455 micron micrometer # One millionth of a meter
456 bicron picometer # One brbillionth of a meter
457 cc cm^3
458 are 100 m^2
459 liter 1000 cc # The liter was defined in 1901 as the
460 oldliter 1.000028 dm^3 # space occupied by 1 kg of pure water at
461 l liter # the temperature of its maximum density
462 L liter # under a pressure of 1 atm. This was
463 # supposed to be 1000 cubic cm, but it
464 # was discovered that the original
465 # measurement was off. In 1964, the
466 # liter was redefined to be exactly 1000
467 # cubic centimeters.
468 mho siemens # Inverse of ohm, hence ohm spelled backward
469 galvat ampere # Named after Luigi Galvani
470 angstrom 1e-10 m # Convenient for describing molecular sizes
471 xunit 1.00202e-13 meter # Used for measuring wavelengths
472 siegbahn xunit # of X-rays. It is defined to be
473 # 1|3029.45 of the spacing of calcite
474 # planes at 18 degC. It was intended
475 # to be exactly 1e-13 m, but was
476 # later found to be off slightly.
477 fermi 1e-15 m # Convenient for describing nuclear sizes
478 # Nuclear radius is from 1 to 10 fermis
479 barn 1e-28 m^2 # Used to measure cross section for
480 # particle physics collision, said to
481 # have originated in the phrase "big as
482 # a barn".
483 shed 1e-24 barn # Defined to be a smaller companion to the
484 # barn, but it's too small to be of
485 # much use.
486 brewster micron^2/N # measures stress-optical coef
487 diopter /m # measures reciprocal of lens focal length
488 fresnel 1e12 Hz # occasionally used in spectroscopy
489 shake 1e-8 sec
490 svedberg 1e-13 s # Used for measuring the sedimentation
491 # coefficient for centrifuging.
492 gamma microgram # Also used for 1e-9 tesla
493 lambda microliter
494 spat 1e12 m # Rarely used for astronomical measurements
495 preece 1e13 ohm m # resistivity
496 planck J s # action of one joule over one second
497 sturgeon /henry # magnetic reluctance
498 daraf 1/farad # elastance (farad spelled backwards)
499 leo 10 m/s^2
500 poiseuille N s / m^2 # viscosity
501 mayer J/g K # specific heat
502 mired / microK # reciprocal color temperature. The name
503 # abbreviates micro reciprocal degree.
504 crocodile megavolt # used informally in UK physics labs
505 metricounce 25 g
506 mounce metricounce
507 finsenunit 1e5 W/m^2 # Measures intensity of ultraviolet light
508 # with wavelength 296.7 nm.
509 fluxunit 1e-26 W/m^2 Hz # Used in radio astronomy to measure
510 # the energy incident on the receiving
511 # body across a specified frequency
512 # bandwidth. [12]
513 jansky fluxunit # K. G. Jansky identified radio waves coming
514 Jy jansky # from outer space in 1931.
515 pfu / cm^2 sr s # particle flux unit -- Used to measure
516 # rate at which particles are received by
517 # a spacecraft as particles per solid
518 # angle per detector area per second. [18]
519 pyron cal_IT / cm^2 min # Measures heat flow from solar radiation,
520 # from Greek work "pyr" for fire.
521 katal mol/sec # Measure of the amount of a catalyst. One
522 kat katal # katal of catalyst enables the reaction
523 # to consume or produce on mol/sec.
524 #
525 # time
526 #
527
528 sec s
529 minute 60 s
530 min minute
531 hour 60 min
532 hr hour
533 day 24 hr
534 d day
535 da day
536 week 7 day
537 wk week
538 sennight 7 day
539 fortnight 14 day
540 blink 1e-5 day # Actual human blink takes 1|3 second
541 ce 1e-2 day
542 cron 1e6 years
543 watch 4 hours # time a sentry stands watch or a ship's
544 # crew is on duty.
545 bell 1|8 watch # Bell would be sounded every 30 minutes.
546
547
548
549 #
550 # angular measure
551 #
552
553 circle 2 pi radian
554 degree 1|360 circle
555 deg degree
556 arcdeg degree
557 arcmin 1|60 degree
558 arcminute arcmin
559 ' arcmin
560 arcsec 1|60 arcmin
561 arcsecond arcsec
562 " arcsec
563 '' "
564 rightangle 90 degrees
565 quadrant 1|4 circle
566 quintant 1|5 circle
567 sextant 1|6 circle
568
569 sign 1|12 circle # Angular extent of one sign of the zodiac
570 turn circle
571 revolution turn
572 rev turn
573 pulsatance radian / sec
574 gon 1|100 rightangle # measure of grade
575 grade gon
576 centesimalminute 1|100 grade
577 centesimalsecond 1|100 centesimalminute
578 milangle 1|6400 circle # Official NIST definition.
579 # Another choice is 1e-3 radian.
580 pointangle 1|32 circle # Used for reporting compass readings
581 centrad 0.01 radian # Used for angular deviation of light
582 # through a prism.
583 mas milli arcsec # Used by astronomers
584 seclongitude circle (seconds/day) # Astronomers measure longitude
585 # (which they call right ascension) in
586 # time units by dividing the equator into
587 # 24 hours instead of 360 degrees.
588 #
589 # Some geometric formulas
590 #
591
592 circlearea(r) [m;m^2] pi r^2 ; sqrt(circlearea/pi)
593 spherevolume(r) [m;m^3] 4|3 pi r^3 ; cuberoot(spherevolume/4|3 pi)
594 spherevol(r) [m;m^3] spherevolume(r) ; ~spherevolume(spherevol)
595 square(x) x^2 ; sqrt(square)
596
597 #
598 # Solid angle measure
599 #
600
601 sphere 4 pi sr
602 squaredegree 1|180^2 pi^2 sr
603 squareminute 1|60^2 squaredegree
604 squaresecond 1|60^2 squareminute
605 squarearcmin squareminute
606 squarearcsec squaresecond
607 sphericalrightangle 0.5 pi sr
608 octant 0.5 pi sr
609
610 #
611 # Concentration measures
612 #
613
614 percent 0.01
615 % percent
616 mill 0.001 # Originally established by Congress in 1791
617 # as a unit of money equal to 0.001 dollars,
618 # it has come to refer to 0.001 in general.
619 # Used by some towns to set their property
620 # tax rate, and written with a symbol similar
621 # to the % symbol but with two 0's in the
622 # denominator. [18]
623 proof 1|200 # Alcohol content measured by volume at
624 # 60 degrees Fahrenheit. This is a USA
625 # measure. In Europe proof=percent.
626 ppm 1e-6
627 partspermillion ppm
628 ppb 1e-9
629 partsperbillion ppb # USA billion
630 ppt 1e-12
631 partspertrillion ppt # USA trillion
632 karat 1|24 # measure of gold purity
633 caratgold karat
634 gammil mg/l
635 basispoint 0.01 % # Used in finance
636 fine 1|1000 # Measure of gold purity
637
638 # The pH scale is used to measure the concentration of hydronium (H3O+) ions in
639 # a solution. A neutral solution has a pH of 7 as a result of dissociated
640 # water molecules.
641
642 pH(x) [;mol/liter] 10^(-x) mol/liter ; (-log(pH liters/mol))
643
644
645 #
646 # Temperature
647 #
648 # Two types of units are defined: units for converting temperature differences
649 # and functions for converting absolute temperatures. Conversions for
650 # differences start with "deg" and conversions for absolute temperature start
651 # with "temp".
652 #
653
654 TEMPERATURE kelvin
655 TEMPERATURE_DIFFERENCE kelvin
656
657 tempC(x) [;K] x K + stdtemp ; (tempC +(-stdtemp))/K # In 1741 Anders Celsius
658 tempcelsius(x) [;K] tempC(x); ~tempC(tempcelsius) # introduced a temperature
659 degcelsius K # scale with water boiling at 0 degrees and
660 degC K # freezing at 100 degrees at standard
661 # pressure. After his death the fixed points
662 # were reversed and the scale was called the
663 # centigrade scale. Due to the difficulty of
664 # accurately measuring the temperature of
665 # melting ice at standard pressure, the
666 # centigrade scale was replaced in 1954 by
667 # the Celsius scale which is defined by
668 # subtracting 273.15 from the temperature in
669 # Kelvins. This definition differed slightly
670 # from the old centigrade definition, but the
671 # Kelvin scale depends on the triple point of
672 # water rather than a melting point, so it
673 # can be measured accurately.
674
675 tempF(x) [;K] (x+(-32)) degF + stdtemp ; (tempF+(-stdtemp))/degF + 32
676 tempfahrenheit(x) [;K] tempF(x) ; ~tempF(tempfahrenheit)
677 degfahrenheit 5|9 degC # Fahrenheit defined his temperature scale
678 degF 5|9 degC # by setting 0 to the coldest temperature
679 # he could produce in his lab with a salt
680 # water solution and by setting 96 degrees to
681 # body heat. In Fahrenheit's words:
682 #
683 # Placing the thermometer in a mixture of
684 # sal ammoniac or sea salt, ice, and water
685 # a point on the scale will be found which
686 # is denoted as zero. A second point is
687 # obtained if the same mixture is used
688 # without salt. Denote this position as
689 # 30. A third point, designated as 96, is
690 # obtained if the thermometer is placed in
691 # the mouth so as to acquire the heat of a
692 # healthy man." (D. G. Fahrenheit,
693 # Phil. Trans. (London) 33, 78, 1724)
694
695 degreesrankine degF # The Rankine scale has the
696 degrankine degreesrankine # Fahrenheit degree, but its zero
697 degreerankine degF # is at absolute zero.
698 degR degrankine
699 tempR degrankine
700 temprankine degrankine
701
702 tempreaumur(x) [;K] x degreaumur+stdtemp ; (tempreaumur+(-stdtemp))/degreaumur
703 degreaumur 10|8 degC # The Reaumur scale was used in Europe and
704 # particularly in France. It is defined
705 # to be 0 at the freezing point of water
706 # and 80 at the boiling point. Reaumur
707 # apparently selected 80 because it is
708 # divisible by many numbers.
709
710 degK K # "Degrees Kelvin" is forbidden usage.
711 tempK K # For consistency.
712
713 # Gas mark is implemented below but in a terribly ugly way. There is
714 # a simple formula, but it requires a conditional which is not
715 # presently supported.
716 #
717 # The formula to convert to degrees Fahrenheit is:
718 #
719 # 25 log2(gasmark) + k_f gasmark<=1
720 # 25 (gasmark-1) + k_f gasmark>=1
721 #
722 # k_f = 275
723 #
724 gasmark[degR] \
725 .0625 634.67 \
726 .125 659.67 \
727 .25 684.67 \
728 .5 709.67 \
729 1 734.67 \
730 2 759.67 \
731 3 784.67 \
732 4 809.67 \
733 5 834.67 \
734 6 859.67 \
735 7 884.67 \
736 8 909.67 \
737 9 934.67 \
738 10 959.67
739
740 # Units cannot handle wind chill or heat index because they are two variable
741 # functions, but they are included here for your edification. Clearly these
742 # equations are the result of a model fitting operation.
743 #
744 # wind chill index (WCI) a measurement of the combined cooling effect of low
745 # air temperature and wind on the human body. The index was first defined
746 # by the American Antarctic explorer Paul Siple in 1939. As currently used
747 # by U.S. meteorologists, the wind chill index is computed from the
748 # temperature T (in °F) and wind speed V (in mi/hr) using the formula:
749 # WCI = 0.0817(3.71 sqrt(V) + 5.81 - 0.25V)(T - 91.4) + 91.4.
750 # For very low wind speeds, below 4 mi/hr, the WCI is actually higher than
751 # the air temperature, but for higher wind speeds it is lower than the air
752 # temperature.
753 #
754 # heat index (HI or HX) a measure of the combined effect of heat and
755 # humidity on the human body. U.S. meteorologists compute the index
756 # from the temperature T (in °F) and the relative humidity H (as a
757 # value from 0 to 1).
758 # HI = -42.379 + 2.04901523 T + 1014.333127 H - 22.475541 TH
759 # - .00683783 T^2 - 548.1717 H^2 + 0.122874 T^2 H + 8.5282 T H^2
760 # - 0.0199 T^2 H^2.
761
762 #
763 # Physical constants
764 #
765
766 # Basic constants
767
768 pi 3.14159265358979323846
769 c 2.99792458e8 m/s # speed of light in vacuum (exact)
770 light c
771 mu0 4 pi 1e-7 H/m # permeability of vacuum (exact)
772 epsilon0 1/mu0 c^2 # permittivity of vacuum (exact)
773 energy c^2 # convert mass to energy
774 e 1.602176487e-19 C # electron charge
775 h 6.62606896e-34 J s # Planck constant
776 hbar h / 2 pi
777 spin hbar
778 G 6.67428e-11 N m^2 / kg^2 # Newtonian gravitational constant
779 # This is the NIST 2002 value.
780 # Note that NIST increased the
781 # uncertainty of G to 1500 ppm
782 # as a result of disagreements
783 # between experiments performed in
784 # the late 1990s. Some other
785 # sources give conflicting values
786 # with a much lower uncertainty.
787 coulombconst 1/4 pi epsilon0 # listed as "k" sometimes
788
789 # Physico-chemical constants
790
791 atomicmassunit 1.660538782e-27 kg# atomic mass unit (defined to be
792 u atomicmassunit # 1|12 of the mass of carbon 12)
793 amu atomicmassunit
794 amu_chem 1.66026e-27 kg # 1|16 of the weighted average mass of
795 # the 3 naturally occuring neutral
796 # isotopes of oxygen
797 amu_phys 1.65981e-27 kg # 1|16 of the mass of a neutral
798 # oxygen 16 atom
799 dalton u # Maybe this should be amu_chem?
800 avogadro grams/amu mol # size of a mole
801 N_A avogadro
802 gasconstant 8.314472 J / mol K # molar gas constant
803 R gasconstant
804 boltzmann R / N_A # Boltzmann constant
805 k boltzmann
806 kboltzmann boltzmann
807 molarvolume mol R stdtemp / atm # Volume occupied by one mole of an
808 # ideal gas at STP.
809 loschmidt avogadro mol / molarvolume # Molecules per cubic meter of an
810 # ideal gas at STP. Loschmidt did
811 # work similar to Avogadro.
812 stefanboltzmann pi^2 k^4 / 60 hbar^3 c^2 # The power per area radiated by a
813 sigma stefanboltzmann # blackbody at temperature T is
814 # given by sigma T^4.
815 wiendisplacement 2.8977685e-3 m K # Wien's Displacement Law gives the
816 # frequency at which the the Planck
817 # spectrum has maximum intensity.
818 # The relation is lambda T = b where
819 # lambda is wavelength, T is
820 # temperature and b is the Wien
821 # displacement. This relation is
822 # used to determine the temperature
823 # of stars.
824 K_J 483597.9 GHz/V # Direct measurement of the volt is difficult. Until
825 # recently, laboratories kept Weston cadmium cells as
826 # a reference, but they could drift. In 1987 the
827 # CGPM officially recommended the use of the
828 # Josephson effect as a laboratory representation of
829 # the volt. The Josephson effect occurs when two
830 # superconductors are separated by a thin insulating
831 # layer. A "supercurrent" flows across the insulator
832 # with a frequency that depends on the potential
833 # applied across the superconductors. This frequency
834 # can be very accurately measured. The Josephson
835 # constant K_J, which is equal to 2e/h, relates the
836 # measured frequency to the potential. The value
837 # given here is the officially specified value for
838 # use beginning in 1990. The 2006 recommended value
839 # of the constant is 483597.891 GHz/V.
840 R_K 25812.807 ohm # Measurement of the ohm also presents difficulties.
841 # The old approach involved maintaining resistances
842 # that were subject to drift. The new standard is
843 # based on the Hall effect. When a current carrying
844 # ribbon is placed in a magnetic field, a potential
845 # difference develops across the ribbon. The ratio
846 # of the potential difference to the current is
847 # called the Hall resistance. Klaus von Klitzing
848 # discovered in 1980 that the Hall resistance varies
849 # in discrete jumps when the magnetic field is very
850 # large and the temperature very low. This enables
851 # accurate realization of the resistance h/e^2 in the
852 # lab. The value given here is the officially
853 # specified value for use beginning in 1990.
854
855 # Various conventional values
856
857 gravity 9.80665 m/s^2 # std acceleration of gravity (exact)
858 force gravity # use to turn masses into forces
859 atm 101325 Pa # Standard atmospheric pressure
860 atmosphere atm
861 Hg 13.5951 gram force / cm^3 # Standard weight of mercury (exact)
862 water gram force/cm^3 # Standard weight of water (exact)
863 waterdensity gram / cm^3 # Density of water
864 H2O water
865 wc water # water column
866 mach 331.46 m/s # speed of sound in dry air at STP
867 standardtemp 273.15 K # standard temperature
868 stdtemp standardtemp
869
870 # Weight of mercury and water at different temperatures using the standard
871 # force of gravity.
872
873 Hg10C 13.5708 force gram / cm^3 # These units, when used to form
874 Hg20C 13.5462 force gram / cm^3 # pressure measures, are not accurate
875 Hg23C 13.5386 force gram / cm^3 # because of considerations of the
876 Hg30C 13.5217 force gram / cm^3 # revised practical temperature scale.
877 Hg40C 13.4973 force gram / cm^3
878 Hg60F 13.5574 force gram / cm^3
879 H2O0C 0.99987 force gram / cm^3
880 H2O5C 0.99999 force gram / cm^3
881 H2O10C 0.99973 force gram / cm^3
882 H2O15C 0.99913 force gram / cm^3
883 H2O18C 0.99862 force gram / cm^3
884 H2O20C 0.99823 force gram / cm^3
885 H2O25C 0.99707 force gram / cm^3
886 H2O50C 0.98807 force gram / cm^3
887 H2O100C 0.95838 force gram / cm^3
888
889 # Atomic constants
890
891 Rinfinity 10973731.568527 /m # The wavelengths of a spectral series
892 R_H 10967760 /m # can be expressed as
893 # 1/lambda = R (1/m^2 - 1/n^2).
894 # where R is a number that various
895 # slightly from element to element.
896 # For hydrogen, R_H is the value,
897 # and for heavy elements, the value
898 # approaches Rinfinity, which can be
899 # computed from
900 # m_e c alpha^2 / 2 h
901 # with a loss of 5 digits
902 # of precision.
903 alpha 7.2973525376e-3 # The fine structure constant was
904 # introduced to explain fine
905 # structure visible in spectral
906 # lines. It can be computed from
907 # mu0 c e^2 / 2 h
908 # with a loss of 3 digits precision
909 # and loss of precision in derived
910 # values which use alpha.
911 bohrradius alpha / 4 pi Rinfinity
912 prout 185.5 keV # nuclear binding energy equal to 1|12
913 # binding energy of the deuteron
914 # Planck constants
915
916 planckmass 2.17644e-8 kg # sqrt(hbar c / G)
917 m_P planckmass
918 plancktime hbar / planckmass c^2
919 t_P plancktime
920 plancklength plancktime c
921 l_P plancklength
922
923 # Masses of elementary particles
924
925 electronmass 5.4857990943e-4 u
926 m_e electronmass
927 protonmass 1.00727646677 u
928 m_p protonmass
929 neutronmass 1.00866491597 u
930 m_n neutronmass
931 muonmass 0.1134289256 u
932 m_mu muonmass
933 deuteronmass 2.013553212724 u
934 m_d deuteronmass
935 alphaparticlemass 4.001506179127 u
936 m_alpha alphaparticlemass
937
938 # particle wavelengths: the compton wavelength of a particle is
939 # defined as h / m c where m is the mass of the particle.
940
941 electronwavelength h / m_e c
942 lambda_C electronwavelength
943 protonwavelength h / m_p c
944 lambda_C,p protonwavelength
945 neutronwavelength h / m_n c
946 lambda_C,n neutronwavelength
947
948 # Magnetic moments
949
950 bohrmagneton e hbar / 2 electronmass
951 mu_B bohrmagneton
952 nuclearmagneton e hbar / 2 protonmass
953 mu_N nuclearmagneton
954 mu_mu 4.49044786e-26 J/T # Muon magnetic moment
955 mu_p 1.410606662e-26 J/T # Proton magnetic moment
956 mu_e 928.476377e-26 J/T # Electron magnetic moment
957 mu_n 0.96623641e-26 J/T # Neutron magnetic moment
958 mu_d 0.433073465e-26 J/T # Deuteron magnetic moment
959
960 #
961 # Units derived from physical constants
962 #
963
964 kgf kg force
965 technicalatmosphere kgf / cm^2
966 at technicalatmosphere
967 hyl kgf s^2 / m # Also gram-force s^2/m according to [15]
968 mmHg mm Hg
969 torr mmHg # These units, both named after Evangelista
970 tor Pa # Torricelli, should not be confused.
971 # Acording to [15] the torr is actually
972 # atm/760 which is slightly different.
973 inHg inch Hg
974 inH2O inch water
975 mmH2O mm water
976 eV e V # Energy acquired by a particle with charge e
977 electronvolt eV # when it is accelerated through 1 V
978 lightyear c julianyear # The 365.25 day year is specified in
979 ly lightyear # NIST publication 811
980 lightsecond c s
981 lightminute c min
982 parsec au / tan(arcsec) # Unit of length equal to distance
983 pc parsec # from the sun to a point having
984 # heliocentric parallax of 1
985 # arcsec (derived from parallax
986 # second). A distant object with
987 # paralax theta will be about
988 # (arcsec/theta) parsecs from the
989 # sun (using the approximation
990 # that tan(theta) = theta).
991 rydberg h c Rinfinity # Rydberg energy
992 crith 0.089885 gram # The crith is the mass of one
993 # liter of hydrogen at standard
994 # temperature and pressure.
995 amagatvolume molarvolume
996 amagat mol/amagatvolume # Used to measure gas densities
997 lorentz bohrmagneton / h c # Used to measure the extent
998 # that the frequency of light
999 # is shifted by a magnetic field.
1000 cminv h c / cm # Unit of energy used in infrared
1001 invcm cminv # spectroscopy.
1002 wavenumber cminv
1003 kcal_mol kcal_th / mol N_A # kcal/mol is used as a unit of
1004 # energy by physical chemists.
1005 #
1006 # CGS system based on centimeter, gram and second
1007 #
1008
1009 dyne cm gram / s^2 # force
1010 dyn dyne
1011 erg cm dyne # energy
1012 poise gram / cm s # viscosity, honors Jean Poiseuille
1013 P poise
1014 rhe /poise # reciprocal viscosity
1015 stokes cm^2 / s # kinematic viscosity
1016 St stokes
1017 stoke stokes
1018 lentor stokes # old name
1019 Gal cm / s^2 # acceleration, used in geophysics
1020 galileo Gal # for earth's gravitational field
1021 # (note that "gal" is for gallon
1022 # but "Gal" is the standard symbol
1023 # for the gal which is evidently a
1024 # shortened form of "galileo".)
1025 barye dyne/cm^2 # pressure
1026 barad barye # old name
1027 kayser 1/cm # Proposed as a unit for wavenumber
1028 balmer kayser # Even less common name than "kayser"
1029 kine cm/s # velocity
1030 bole g cm / s # momentum
1031 pond gram force
1032 glug gram force s^2 / cm # Mass which is accelerated at
1033 # 1 cm/s^2 by 1 gram force
1034 darcy centipoise cm^2 / s atm # Measures permeability to fluid flow.
1035
1036 # One darcy is the permeability of a
1037 # medium that allows a flow of cc/s
1038 # of a liquid of centipoise viscosity
1039 # under a pressure gradient of
1040 # atm/cm. Named for H. Darcy.
1041
1042 mohm cm / dyn s # mobile ohm, measure of mechanical
1043 mobileohm mohm # mobility
1044 mechanicalohm dyn s / cm # mechanical resistance
1045 acousticalohm dyn s / cm^5 # ratio of the sound pressure of
1046 # 1 dyn/cm^2 to a source of strength
1047 # 1 cm^3/s
1048 ray acousticalohm
1049 rayl dyn s / cm^3 # Specific acoustical resistance
1050 eotvos 1e-9 Gal/cm # Change in gravitational acceleration
1051 # over horizontal distance
1052
1053 # Electromagnetic units derived from the abampere
1054
1055 abampere 10 A # Current which produces a force of
1056 abamp abampere # 2 dyne/cm between two infinitely
1057 aA abampere # long wires that are 1 cm apart
1058 biot aA # alternative name for abamp
1059 Bi biot
1060 abcoulomb abamp sec
1061 abcoul abcoulomb
1062 abfarad abampere sec / abvolt
1063 abhenry abvolt sec / abamp
1064 abvolt dyne cm / abamp sec
1065 abohm abvolt / abamp
1066 abmho /abohm
1067 gauss abvolt sec / cm^2
1068 Gs gauss
1069 maxwell abvolt sec # Also called the "line"
1070 Mx maxwell
1071 oersted gauss / mu0
1072 Oe oersted
1073 gilbert gauss cm / mu0
1074 Gb gilbert
1075 Gi gilbert
1076 unitpole 4 pi maxwell
1077 emu erg/gauss # "electro-magnetic unit", a measure of
1078 # magnetic moment, often used as emu/cm^3
1079 # to specify magnetic moment density.
1080
1081 # Gaussian system: electromagnetic units derived from statampere.
1082 #
1083 # Note that the Gaussian units are often used in such a way that Coulomb's law
1084 # has the form F= q1 * q2 / r^2. The constant 1|4*pi*epsilon0 is incorporated
1085 # into the units. From this, we can get the relation force=charge^2/dist^2.
1086 # This means that the simplification esu^2 = dyne cm^2 can be used to simplify
1087 # units in the Gaussian system, with the curious result that capacitance can be
1088 # measured in cm, resistance in sec/cm, and inductance in sec^2/cm. These
1089 # units are given the names statfarad, statohm and stathenry below.
1090
1091 statampere 10 A cm / s c
1092 statamp statampere
1093 statvolt dyne cm / statamp sec
1094 statcoulomb statamp s
1095 esu statcoulomb
1096 statcoul statcoulomb
1097 statfarad statamp sec / statvolt
1098 cmcapacitance statfarad
1099 stathenry statvolt sec / statamp
1100 statohm statvolt / statamp
1101 statmho /statohm
1102 statmaxwell statvolt sec
1103 franklin statcoulomb
1104 debye 1e-18 statcoul cm # unit of electrical dipole moment
1105 helmholtz debye/angstrom^2 # Dipole moment per area
1106 jar 1000 statfarad # approx capacitance of Leyden jar
1107
1108 #
1109 # Some historical eletromagnetic units
1110 #
1111
1112 intampere 0.999835 A # Defined as the current which in one
1113 intamp intampere # second deposits .001118 gram of
1114 # silver from an aqueous solution of
1115 # silver nitrate.
1116 intfarad 0.999505 F
1117 intvolt 1.00033 V
1118 intohm 1.000495 ohm # Defined as the resistance of a
1119 # uniform column of mercury containing
1120 # 14.4521 gram in a column 1.063 m
1121 # long and maintained at 0 degC.
1122 daniell 1.042 V # Meant to be electromotive force of a
1123 # Daniell cell, but in error by .04 V
1124 faraday N_A e mol # Charge that must flow to deposit or
1125 faraday_phys 96521.9 C # liberate one gram equivalent of any
1126 faraday_chem 96495.7 C # element. (The chemical and physical
1127 # values are off slightly from what is
1128 # obtained by multiplying by amu_chem
1129 # or amu_phys. These values are from
1130 # a 1991 NIST publication.) Note that
1131 # there is a Faraday constant which is
1132 # equal to N_A e and hence has units of
1133 # C/mol.
1134 kappline 6000 maxwell # Named by and for Gisbert Kapp
1135 siemensunit 0.9534 ohm # Resistance of a meter long column of
1136 # mercury with a 1 mm cross section.
1137
1138 #
1139 # Photometric units
1140 #
1141
1142 LUMINOUS_INTENSITY candela
1143 LUMINOUS_FLUX lumen
1144 LUMINOUS_ENERGY talbot
1145 ILLUMINANCE lux
1146 EXITANCE lux
1147
1148 candle 1.02 candela # Standard unit for luminous intensity
1149 hefnerunit 0.9 candle # in use before candela
1150 hefnercandle hefnerunit #
1151 violle 20.17 cd # luminous intensity of 1 cm^2 of
1152 # platinum at its temperature of
1153 # solidification (2045 K)
1154
1155 lumen cd sr # Luminous flux (luminous energy per
1156 lm lumen # time unit)
1157
1158 talbot lumen s # Luminous energy
1159 lumberg talbot # References give these values for
1160 lumerg talbot # lumerg and lumberg both. Note that
1161 # a paper from 1948 suggests that
1162 # lumerg should be 1e-7 talbots so
1163 # that lumergs/erg = talbots/joule.
1164 # lumerg = luminous erg
1165 lux lm/m^2 # Illuminance or exitance (luminous
1166 lx lux # flux incident on or coming from
1167 phot lumen / cm^2 # a surface)
1168 ph phot #
1169 footcandle lumen/ft^2 # Illuminance from a 1 candela source
1170 # at a distance of one foot
1171 metercandle lumen/m^2 # Illuminance from a 1 candela source
1172 # at a distance of one meter
1173
1174 mcs metercandle s # luminous energy per area, used to
1175 # measure photographic exposure
1176
1177 nox 1e-3 lux # These two units were proposed for
1178 skot 1e-3 apostilb # measurements relating to dark adapted
1179 # eyes.
1180 # Luminance measures
1181
1182 LUMINANCE nit
1183
1184 nit cd/m^2 # Luminance: the intensity per projected
1185 stilb cd / cm^2 # area of an extended luminous source.
1186 sb stilb # (nit is from latin nitere = to shine.)
1187
1188 apostilb cd/pi m^2
1189 asb apostilb
1190 blondel apostilb # Named after a French scientist.
1191
1192 # Equivalent luminance measures. These units are units which measure
1193 # the luminance of a surface with a specified exitance which obeys
1194 # Lambert's law. (Lambert's law specifies that luminous intensity of
1195 # a perfectly diffuse luminous surface is proportional to the cosine
1196 # of the angle at which you view the luminous surface.)
1197
1198 equivalentlux cd / pi m^2 # luminance of a 1 lux surface
1199 equivalentphot cd / pi cm^2 # luminance of a 1 phot surface
1200 lambert cd / pi cm^2
1201 footlambert cd / pi ft^2
1202
1203 # The bril is used to express "brilliance" of a source of light on a
1204 # logarithmic scale to correspond to subjective perception. An increase of 1
1205 # bril means doubling the luminance. A luminance of 1 lambert is defined to
1206 # have a brilliance of 1 bril.
1207
1208 bril(x) [;lambert] 2^(x+-100) lamberts ;log2(bril/lambert)+100
1209
1210 # Some luminance data from the IES Lighting Handbook, 8th ed, 1993
1211
1212 sunlum 1.6e9 cd/m^2 # at zenith
1213 sunillum 100e3 lux # clear sky
1214 sunillum_o 10e3 lux # overcast sky
1215 sunlum_h 6e6 cd/m^2 # value at horizon
1216 skylum 8000 cd/m^2 # average, clear sky
1217 skylum_o 2000 cd/m^2 # average, overcast sky
1218 moonlum 2500 cd/m^2
1219
1220 # Photographic Exposure Value
1221 #
1222 # The Additive Photographic EXposure (APEX) system developed in Germany in
1223 # the 1960s was an attempt to simplify exposure determination for people
1224 # who relied on exposure tables rather than exposure meters. Shortly
1225 # thereafter, nearly all cameras incorporated exposure meters, so the APEX
1226 # system never caught on, but the concept of Exposure Value (EV) given by
1227 #
1228 # A^2 LS ES
1229 # 2^EV = --- = -- = --
1230 # T K C
1231 #
1232 # Where
1233 # A = Relative aperture (f-number)
1234 # T = Shutter time in seconds
1235 # L = Scene luminance in cd/m2
1236 # E = Scene illuminance in lux
1237 # S = Arithmetic ISO film speed
1238 # K = Reflected-light meter calibration constant
1239 # C = Incident-light meter calibration constant
1240 #
1241 # remains in use. Strictly speaking, an Exposure Value is a combination
1242 # of aperture and shutter time, but it's also commonly used to indicate
1243 # luminance (or illuminance). Conversion to luminance or illuminance
1244 # units depends on the ISO film speed and the meter calibration constant.
1245 # Common practice is to use an ISO film speed of 100 (because film speeds
1246 # are in even 1/3-step increments, the exact value is 64 * 2^(2|3)).
1247 # Calibration constants vary among camera and meter manufacturers: Canon,
1248 # Nikon, and Sekonic use a value of 12.5 for reflected-light meters, while
1249 # Minolta and Pentax use a value of 14. Minolta and Sekonic use a value
1250 # of 250 for incident-light meters with flat receptors.
1251
1252 s100 64 * 2^(2|3) / lx s # exact speed for ISO 100 film
1253
1254 # Reflected-light meter calibration constant with ISO 100 film
1255
1256 k1250 12.5 (cd/m2) / lx s # For Canon, Nikon, and Sekonic
1257 k1400 14 (cd/m2) / lx s # For Minolta and Pentax
1258
1259 # Incident-light meter calibration constant with ISO 100 film
1260
1261 c250 250 lx / lx s # flat-disc receptor
1262
1263 # Exposure value to scene luminance with ISO 100 film
1264
1265 # For Minolta or Pentax
1266 #ev100(x) [;cd/m^2] 2^x k1400 / s100; log2(ev100 s100 / k1400)
1267 # For Canon, Nikon or Sekonic
1268 ev100(x) [;cd/m^2] 2^x k1250 / s100; log2(ev100 s100 / k1250)
1269
1270 # Exposure value to scene illuminance with ISO 100 film
1271
1272 iv100(x) [1;lx] 2^x c250 / s100; log2(iv100 s100 / c250)
1273
1274 #
1275 # Astronomical time measurements
1276 #
1277 # Astronmical time measurement is a complicated matter. The length of the true
1278 # day at a given place can be 21 seconds less than 24 hours or 30 seconds over
1279 # 24 hours. The two main reasons for this are the varying speed of the earth
1280 # in its elliptical orbit and the fact that the sun moves on the ecliptic
1281 # instead of along the celestial equator. To devise a workable system for time
1282 # measurement, Simon Newcomb (1835-1909) used a fictitious "mean sun".
1283 # Consider a first fictitious sun traveling along the ecliptic at a constant
1284 # speed and coinciding with the true sun at perigee and apogee. Then
1285 # considering a second fictitious sun traveling along the celestial equator at
1286 # a constant speed and coinciding with the first fictitious sun at the
1287 # equinoxes. The second fictitious sun is the "mean sun". From this equations
1288 # can be written out to determine the length of the mean day, and the tropical
1289 # year. The length of the second was determined based on the tropical year
1290 # from such a calculation and was officially used from 1960-1967 until atomic
1291 # clocks replaced astronomical measurements for a standard of time. All of the
1292 # values below give the mean time for the specified interval.
1293 #
1294 # See "Mathematical Astronomy Morsels" by Jean Meeus for more details
1295 # and a description of how to compute the correction to mean time.
1296 #
1297
1298 TIME second
1299
1300 anomalisticyear 365.2596 days # The time between successive
1301 # perihelion passages of the
1302 # earth.
1303 siderealyear 365.256360417 day # The time for the earth to make
1304 # one revolution around the sun
1305 # relative to the stars.
1306 tropicalyear 365.242198781 day # The time needed for the mean sun
1307 # as defined above to increase
1308 # its longitude by 360 degrees.
1309 # Most references defined the
1310 # tropical year as the interval
1311 # between vernal equinoxes, but
1312 # this is misleading. The length
1313 # of the season changes over time
1314 # because of the eccentricity of
1315 # the earth's orbit. The time
1316 # between vernal equinoxes is
1317 # approximately 365.24237 days
1318 # around the year 2000. See
1319 # "Mathematical Astronomy
1320 # Morsels" for more details.
1321 eclipseyear 346.62 days # The line of nodes is the
1322 # intersection of the plane of
1323 # Earth's orbit around the sun
1324 # with the plane of the moon's
1325 # orbit around earth. Eclipses
1326 # can only occur when the moon
1327 # and sun are close to this
1328 # line. The line rotates and
1329 # appearances of the sun on the
1330 # line of nodes occur every
1331 # eclipse year.
1332 saros 223 synodicmonth # The earth, moon and sun appear in
1333 # the same arrangement every
1334 # saros, so if an eclipse occurs,
1335 # then one saros later, a similar
1336 # eclipse will occur. (The saros
1337 # is close to 19 eclipse years.)
1338 # The eclipse will occur about
1339 # 120 degrees west of the
1340 # preceeding one because the
1341 # saros is not an even number of
1342 # days. After 3 saros, an
1343 # eclipse will occur at
1344 # approximately the same place.
1345 siderealday 86164.09054 s # The sidereal day is the interval
1346 siderealhour 1|24 siderealday # between two successive transits
1347 siderealminute 1|60 siderealhour # of a star over the meridian,
1348 siderealsecond 1|60 siderealminute # or the time required for the
1349 # earth to make one rotation
1350 # relative to the stars. The
1351 # more usual solar day is the
1352 # time required to make a
1353 # rotation relative to the sun.
1354 # Because the earth moves in its
1355 # orbit, it has to turn a bit
1356 # extra to face the sun again,
1357 # hence the solar day is slightly
1358 # longer.
1359 anomalisticmonth 27.55454977 day # Time for the moon to travel from
1360 # perigee to perigee
1361 nodicalmonth 27.2122199 day # The nodes are the points where
1362 draconicmonth nodicalmonth # an orbit crosses the ecliptic.
1363 draconiticmonth nodicalmonth # This is the time required to
1364 # travel from the ascending node
1365 # to the next ascending node.
1366 siderealmonth 27.321661 day # Time required for the moon to
1367 # orbit the earth
1368 lunarmonth 29 days + 12 hours + 44 minutes + 2.8 seconds
1369 # Mean time between full moons.
1370 synodicmonth lunarmonth # Full moons occur when the sun
1371 lunation synodicmonth # and moon are on opposite sides
1372 lune 1|30 lunation # of the earth. Since the earth
1373 lunour 1|24 lune # moves around the sun, the moon
1374 # has to revolve a bit extra to
1375 # get into the full moon
1376 # configuration.
1377 year tropicalyear
1378 yr year
1379 month 1|12 year
1380 mo month
1381 lustrum 5 years # The Lustrum was a Roman
1382 # purification ceremony that took
1383 # place every five years.
1384 # Classically educated Englishmen
1385 # used this term.
1386 decade 10 years
1387 century 100 years
1388 millennium 1000 years
1389 millennia millennium
1390 solaryear year
1391 lunaryear 12 lunarmonth
1392 calendaryear 365 day
1393 commonyear 365 day
1394 leapyear 366 day
1395 julianyear 365.25 day
1396 gregorianyear 365.2425 day
1397 islamicyear 354 day # A year of 12 lunar months. They
1398 islamicleapyear 355 day # began counting on July 16, AD 622
1399 # when Muhammad emigrated to Medina
1400 # (the year of the Hegira). They need
1401 # 11 leap days in 30 years to stay in
1402 # sync with the lunar year which is a
1403 # bit longer than the 29.5 days of the
1404 # average month. The months do not
1405 # keep to the same seasons, but
1406 # regress through the seasons every
1407 # 32.5 years.
1408 islamicmonth 1|12 islamicyear # They have 29 day and 30 day months.
1409
1410 # The Hewbrew year is also based on lunar months, but synchronized to the solar
1411 # calendar. The months vary irregularly between 29 and 30 days in length, and
1412 # the years likewise vary. The regular year is 353, 354, or 355 days long. To
1413 # keep up with the solar calendar, a leap month of 30 days is inserted every
1414 # 3rd, 6th, 8th, 11th, 14th, 17th, and 19th years of a 19 year cycle. This
1415 # gives leap years that last 383, 384, or 385 days.
1416
1417
1418 # Sidereal days
1419
1420 mercuryday 58.6462 day
1421 venusday 243.01 day # retrograde
1422 earthday siderealday
1423 marsday 1.02595675 day
1424 jupiterday 0.41354 day
1425 saturnday 0.4375 day
1426 uranusday 0.65 day # retrograde
1427 neptuneday 0.768 day
1428 plutoday 6.3867 day
1429
1430 # Sidereal years from http://ssd.jpl.nasa.gov/phys_props_planets.html. Data
1431 # was updated in May 2001 based on the 1992 Explanatory Supplement to the
1432 # Astronomical Almanac and the mean longitude rates. Apparently the table of
1433 # years in that reference is incorrect.
1434
1435 mercuryyear 0.2408467 julianyear
1436 venusyear 0.61519726 julianyear
1437 earthyear siderealyear
1438 marsyear 1.8808476 julianyear
1439 jupiteryear 11.862615 julianyear
1440 saturnyear 29.447498 julianyear
1441 uranusyear 84.016846 julianyear
1442 neptuneyear 164.79132 julianyear
1443 plutoyear 247.92065 julianyear
1444
1445 # Objects on the earth are charted relative to a perfect ellipsoid whose
1446 # dimensions are specified by different organizations. The ellipsoid is
1447 # specified by an equatorial radius and a flattening value which defines the
1448 # polar radius. These values are the 1996 values given by the International
1449 # Earth Rotation Service (IERS) whose reference documents can be found at
1450 # http://maia.usno.navy.mil/
1451
1452 earthflattening 1|298.25642
1453 earthradius_equatorial 6378136.49 m
1454 earthradius_polar (-earthflattening+1) earthradius_equatorial
1455
1456 landarea 148.847e6 km^2
1457 oceanarea 361.254e6 km^2
1458
1459 moonradius 1738 km # mean value
1460 sunradius 6.96e8 m
1461
1462 # Many astronomical values can be measured most accurately in a system of units
1463 # using the astronomical unit and the mass of the sun as base units. The
1464 # uncertainty in the gravitational constant makes conversion to SI units
1465 # significantly less accurate.
1466
1467 # The astronomical unit was defined to be the length of the of the semimajor
1468 # axis of a massless object with the same year as the earth. With such a
1469 # definition in force, and with the mass of the sun set equal to one, Kepler's
1470 # third law can be used to solve for the value of the gravitational constant.
1471
1472 # Kepler's third law says that (2 pi / T)^2 a^3 = G M where T is the orbital
1473 # period, a is the size of the semimajor axis, G is the gravitational constant
1474 # and M is the mass. With M = 1 and T and a chosen for the earth's orbit, we
1475 # find sqrt(G) = (2 pi / T) sqrt(AU^3). This constant is called the Gaussian
1476 # gravitational constant, apparently because Gauss originally did the
1477 # calculations. However, when the original calculation was done, the value
1478 # for the length of the earth's year was inaccurate. The value used is called
1479 # the Gaussian year. Changing the astronomical unit to bring it into
1480 # agreement with more accurate values for the year would have invalidated a
1481 # lot of previous work, so instead the astronomical unit has been kept equal
1482 # to this original value. This is accomplished by using a standard value for
1483 # the Gaussian gravitational constant. This constant is called k.
1484 # Many values below are from http://ssd.jpl.nasa.gov/?constants
1485
1486 gauss_k 0.01720209895 # This beast has dimensions of
1487 # au^(3|2) / day and is exact.
1488 gaussianyear (2 pi / gauss_k) days # Year that corresponds to the Gaussian
1489 # gravitational constant. This is a
1490 # fictional year, and doesn't
1491 # correspond to any celestial event.
1492 astronomicalunit 499.004783806 light second # Value from the DE-405
1493 au astronomicalunit # ephemeris for the above described
1494 # astronomical unit. (See the NASA
1495 # site listed above.)
1496 solarmass 1.9891e30 kg
1497 sunmass solarmass
1498
1499
1500 sundist 1.0000010178 au # mean earth-sun distance
1501 moondist 3.844e8 m # mean earth-moon distance
1502 sundist_near 1.471e11 m # earth-sun distance at perihelion
1503 sundist_far 1.521e11 m # earth-sun distance at aphelion
1504
1505 # The following are masses for planetary systems, not just the planet itself.
1506 # The comments give the uncertainty in the denominators. As noted above,
1507 # masses are given relative to the solarmass because this is more accurate.
1508 # The conversion to SI is uncertain because of uncertainty in G, the
1509 # gravitational constant.
1510 #
1511 # Values are from http://ssd.jpl.nasa.gov/astro_constants.html
1512
1513 mercurymass solarmass / 6023600 # 250
1514 venusmass solarmass / 408523.71 # 0.06
1515 earthmoonmass solarmass / 328900.56 # 0.02
1516 marsmass solarmass / 3098708 # 9
1517 jupitermass solarmass / 1047.3486 # 0.0008
1518 saturnmass solarmass / 3497.898 # 0.018
1519 uranusmass solarmass / 22902.98 # 0.03
1520 neptunemass solarmass / 19412.24 # 0.04
1521 plutomass solarmass / 1.35e8 # 0.07e8
1522
1523 moonearthmassratio 0.012300034 # uncertainty 3 x 10-9
1524 earthmass earthmoonmass / ( 1 + moonearthmassratio)
1525 moonmass moonearthmassratio earthmass
1526
1527 # These are the old values for the planetary masses. They may give
1528 # the masses of the planets alone.
1529
1530 oldmercurymass 0.33022e24 kg
1531 oldvenusmass 4.8690e24 kg
1532 oldmarsmass 0.64191e24 kg
1533 oldjupitermass 1898.8e24 kg
1534 oldsaturnmass 568.5e24 kg
1535 olduranusmass 86.625e24 kg
1536 oldneptunemass 102.78e24 kg
1537 oldplutomass 0.015e24 kg
1538
1539 # Mean radius from http://ssd.jpl.nsaa.gov/phys_props_planets.html which in
1540 # turn cites Global Earth Physics by CF Yoder, 1995.
1541
1542 mercuryradius 2440 km
1543 venusradius 6051.84 km
1544 earthradius 6371.01 km
1545 marsradius 3389.92 km
1546 jupiterradius 69911 km
1547 saturnradius 58232 km
1548 uranusradius 25362 km
1549 neptuneradius 24624 km
1550 plutoradius 1151 km
1551
1552 moongravity 1.62 m/s^2
1553
1554 #
1555 # The Hartree system of atomic units, derived from fundamental units
1556 # of mass (of electron), action (planck's constant), charge, and
1557 # the coulomb constant.
1558
1559 # Fundamental units
1560
1561 atomicmass electronmass
1562 atomiccharge e
1563 atomicaction hbar
1564
1565 # derived units (Warning: accuracy is lost from deriving them this way)
1566
1567 atomiclength bohrradius
1568 atomictime hbar^3/coulombconst^2 atomicmass e^4 # Period of first
1569 # bohr orbit
1570 atomicvelocity atomiclength / atomictime
1571 atomicenergy hbar / atomictime
1572 hartree atomicenergy
1573 Hartree hartree
1574
1575 #
1576 # These thermal units treat entropy as charge, from [5]
1577 #
1578
1579 thermalcoulomb J/K # entropy
1580 thermalampere W/K # entropy flow
1581 thermalfarad J/K^2
1582 thermalohm K^2/W # thermal resistance
1583 fourier thermalohm
1584 thermalhenry J K^2/W^2 # thermal inductance
1585 thermalvolt K # thermal potential difference
1586
1587
1588 #
1589 # United States units
1590 #
1591
1592 # linear measure
1593
1594 # The US Metric Law of 1866 legalized the metric system in the USA and defined
1595 # the meter in terms of the British system with the exact 1 meter = 39.37
1596 # inches. On April 5, 1893 Corwin Mendenhall decided, in what has become known
1597 # as the "Mendenhall Order" that the meter and kilogram would be the
1598 # fundamental standards in the USA. The definition from 1866 was turned around
1599 # to give an exact definition of the foot as 1200|3937 meters. This definition
1600 # was used until July of 1959 when the definition was changed to bring the US
1601 # into agreement with other countries. Since 1959, the foot has been exactly
1602 # 0.3048 meters. At the same time it was decided that any data expressed in
1603 # feet derived from geodetic surveys within the US would continue to use the
1604 # old definition and call the old unit the "survey foot".
1605
1606 US 1200|3937 m/ft # These four values will convert
1607 US- US # international measures to
1608 survey- US # US Survey measures
1609 geodetic- US
1610 int 3937|1200 ft/m # Convert US Survey measures to
1611 int- int # international measures
1612
1613 inch 2.54 cm
1614 in inch
1615 foot 12 inch
1616 feet foot
1617 ft foot
1618 yard 3 ft
1619 yd yard
1620 mile 5280 ft # The mile was enlarged from 5000 ft
1621 # to this number in order to make
1622 # it an even number of furlongs.
1623 # (The Roman mile is 5000 romanfeet.)
1624 line 1|12 inch # Also defined as '.1 in' or as '1e-8 Wb'
1625 rod 5.5 yard
1626 perch rod
1627 furlong 40 rod # From "furrow long"
1628 statutemile mile
1629 league 3 mile # Intended to be an an hour's walk
1630
1631 # surveyor's measure
1632
1633 surveyorschain 66 surveyft
1634 surveychain surveyorschain
1635 surveyorspole 1|4 surveyorschain
1636 surveyorslink 1|100 surveyorschain
1637 chain 66 ft
1638 link 1|100 chain
1639 ch chain
1640 usacre 10 surveychain^2
1641 intacre 10 chain^2 # Acre based on international ft
1642 intacrefoot acre surveyfoot
1643 usacrefoot usacre surveyfoot
1644 section mile^2
1645 township 36 section
1646 homestead 160 acre # Area of land granted by the 1862 Homestead
1647 # Act of the United States Congress
1648 gunterschain surveyorschain
1649
1650 engineerschain 100 ft
1651 engineerslink 1|100 engineerschain
1652 ramsdenschain engineerschain
1653 ramsdenslink engineerslink
1654
1655 gurleychain 33 feet # Andrew Ellicott chain is the
1656 gurleylink 1|50 gurleychain # same length
1657
1658 wingchain 66 feet # Chain from 1664, introduced by
1659 winglink 1|80 wingchain # Vincent Wing, also found in a
1660 # 33 foot length with 40 links.
1661
1662
1663
1664 # nautical measure
1665
1666 fathom 6 ft # Originally defined as the distance from
1667 # fingertip to fingertip with arms fully
1668 # extended.
1669 nauticalmile 1852 m # Supposed to be one minute of latitude at
1670 # the equator. That value is about 1855 m.
1671 # Early estimates of the earth's circumference
1672 # were a bit off. The value of 1852 m was
1673 # made the international standard in 1929.
1674 # The US did not accept this value until
1675 # 1954. The UK switched in 1970.
1676
1677 cable 1|10 nauticalmile
1678 intcable cable # international cable
1679 cablelength cable
1680 UScable 100 USfathom
1681 navycablelength 720 USft # used for depth in water
1682 marineleague 3 nauticalmile
1683 geographicalmile brnauticalmile
1684 knot nauticalmile / hr
1685 click km # US military slang
1686 klick click
1687
1688 # Avoirdupois weight
1689
1690 pound 0.45359237 kg # The one normally used
1691 lb pound # From the latin libra
1692 grain 1|7000 pound # The grain is the same in all three
1693 # weight systems. It was originally
1694 # defined as the weight of a barley
1695 # corn taken from the middle of the
1696 # ear.
1697 ounce 1|16 pound
1698 oz ounce
1699 dram 1|16 ounce
1700 dr dram
1701 ushundredweight 100 pounds
1702 cwt hundredweight
1703 shorthundredweight ushundredweight
1704 uston shortton
1705 shortton 2000 lb
1706 quarterweight 1|4 uston
1707 shortquarterweight 1|4 shortton
1708 shortquarter shortquarterweight
1709
1710 # Troy Weight. In 1828 the troy pound was made the first United States
1711 # standard weight. It was to be used to regulate coinage.
1712
1713 troypound 5760 grain
1714 troyounce 1|12 troypound
1715 ozt troyounce
1716 pennyweight 1|20 troyounce # Abbreviated "d" in reference to a
1717 dwt pennyweight # Frankish coin called the "denier"
1718 # minted in the late 700's. There
1719 # were 240 deniers to the pound.
1720 assayton mg ton / troyounce # mg / assayton = troyounce / ton
1721 usassayton mg uston / troyounce
1722 brassayton mg brton / troyounce
1723 fineounce troyounce # A troy ounce of 99.5% pure gold
1724
1725 # Some other jewelers units
1726
1727 metriccarat 0.2 gram # Defined in 1907
1728 metricgrain 50 mg
1729 carat metriccarat
1730 ct carat
1731 jewelerspoint 1|100 carat
1732 silversmithpoint 1|4000 inch
1733 momme 3.75 grams # Traditional Japanese unit based
1734 # on the chinese mace. It is used for
1735 # pearls in modern times and also for
1736 # silk density. The definition here
1737 # was adopted in 1891.
1738 # Apothecaries' weight
1739
1740 appound troypound
1741 apounce troyounce
1742 apdram 1|8 apounce
1743 apscruple 1|3 apdram
1744
1745 # Liquid measure
1746
1747 usgallon 231 in^3 # US liquid measure is derived from
1748 gal gallon # the British wine gallon of 1707.
1749 quart 1|4 gallon # See the "winegallon" entry below
1750 pint 1|2 quart # more historical information.
1751 gill 1|4 pint
1752 usquart 1|4 usgallon
1753 uspint 1|2 usquart
1754 usgill 1|4 uspint
1755 usfluidounce 1|16 uspint
1756 fluiddram 1|8 usfloz
1757 minimvolume 1|60 fluiddram
1758 qt quart
1759 pt pint
1760 floz fluidounce
1761 usfloz usfluidounce
1762 fldr fluiddram
1763 liquidbarrel 31.5 usgallon
1764 usbeerbarrel 2 beerkegs
1765 beerkeg 15.5 usgallon # Various among brewers
1766 ponykeg 1|2 beerkeg
1767 winekeg 12 usgallon
1768 petroleumbarrel 42 usgallon # Originated in Pennsylvania oil
1769 barrel petroleumbarrel # fields, from the winetierce
1770 bbl barrel
1771 ushogshead 2 liquidbarrel
1772 usfirkin 9 gallon
1773
1774 # Dry measures: The Winchester Bushel was defined by William III in 1702 and
1775 # legally adopted in the US in 1836.
1776
1777 usbushel 2150.42 in^3 # Volume of 8 inch cylinder with 18.5
1778 bu bushel # inch diameter (rounded)
1779 peck 1|4 bushel
1780 uspeck 1|4 usbushel
1781 brpeck 1|4 brbushel
1782 pk peck
1783 drygallon 1|2 uspeck
1784 dryquart 1|4 drygallon
1785 drypint 1|2 dryquart
1786 drybarrel 7056 in^3 # Used in US for fruits, vegetables,
1787 # and other dry commodities except for
1788 # cranberries.
1789 cranberrybarrel 5826 in^3 # US cranberry barrel
1790 heapedbushel 1.278 usbushel# The following explanation for this
1791 # value was provided by Wendy Krieger
1792 # <os2fan2@yahoo.com> based on
1793 # guesswork. The cylindrical vessel is
1794 # 18.5 inches in diameter and 1|2 inch
1795 # thick. A heaped bushel includes the
1796 # contents of this cylinder plus a heap
1797 # on top. The heap is a cone 19.5
1798 # inches in diameter and 6 inches
1799 # high. With these values, the volume
1800 # of the bushel is 684.5 pi in^3 and
1801 # the heap occupies 190.125 pi in^3.
1802 # Therefore, the heaped bushel is
1803 # 874.625|684.5 bushels. This value is
1804 # approximately 1.2777575 and it rounds
1805 # to the value listed for the size of
1806 # the heaped bushel. Sometimes the
1807 # heaped bushel is reported as 1.25
1808 # bushels. This same explanation gives
1809 # that value if the heap is taken to
1810 # have an 18.5 inch diameter.
1811
1812 # Grain measures. The bushel as it is used by farmers in the USA is actually
1813 # a measure of mass which varies for different commodities. Canada uses the
1814 # same bushel masses for most commodities, but not for oats.
1815
1816 wheatbushel 60 lb
1817 soybeanbushel 60 lb
1818 cornbushel 56 lb
1819 ryebushel 56 lb
1820 barleybushel 48 lb
1821 oatbushel 32 lb
1822 ricebushel 45 lb
1823 canada_oatbushel 34 lb
1824
1825 # Wine and Spirits measure
1826
1827 ponyvolume 1 usfloz
1828 jigger 1.5 usfloz # Can vary between 1 and 2 usfloz
1829 shot jigger # Sometimes 1 usfloz
1830 eushot 25 ml # EU standard spirits measure
1831 fifth 1|5 usgallon
1832 winebottle 750 ml # US industry standard, 1979
1833 winesplit 1|4 winebottle
1834 wineglass 4 usfloz
1835 magnum 1.5 liter # Standardized in 1979, but given
1836 # as 2 qt in some references
1837 metrictenth 375 ml
1838 metricfifth 750 ml
1839 metricquart 1 liter
1840
1841 # Old British bottle size
1842
1843 reputedquart 1|6 brgallon
1844 reputedpint 1|2 reputedquart
1845 brwinebottle reputedquart # Very close to 1|5 winegallon
1846
1847 # French champagne bottle sizes
1848
1849 split 200 ml
1850 jeroboam 2 magnum
1851 rehoboam 3 magnum
1852 methuselah 4 magnum
1853 salmanazar 6 magnum
1854 balthazar 8 magnum
1855 nebuchadnezzar 10 magnum
1856
1857 #
1858 # Water is "hard" if it contains various minerals, expecially calcium
1859 # carbonate.
1860 #
1861
1862 clarkdegree 1|70000 # Content by weigh of calcium carbonate
1863 gpg grains/gallon # Divide by water's density to convert to
1864 # a dimensionless concentration measure
1865 #
1866 # Shoe measures
1867 #
1868
1869 shoeiron 1|48 inch # Used to measure leather in soles
1870 shoeounce 1|64 inch # Used to measure non-sole shoe leather
1871
1872 # USA shoe sizes. These express the length of the shoe or the length
1873 # of the "last", the form that the shoe is made on. But note that
1874 # this only captures the length. It appears that widths change 1/4
1875 # inch for each letter within the same size, and if you change the
1876 # length by half a size then the width changes between 1/8 inch and
1877 # 1/4 inch. But this may not be standard. If you know better, please
1878 # contact me.
1879
1880 shoesize_delta 1|3 inch # USA shoe sizes differ by this amount
1881 shoe_men0 8.25 inch
1882 shoe_women0 (7+11|12) inch
1883 shoe_boys0 (3+11|12) inch
1884 shoe_girls0 (3+7|12) inch
1885
1886 shoesize_men(n) [;inch] shoe_men0 + n shoesize_delta ; \
1887 (shoesize_men+(-shoe_men0))/shoesize_delta
1888 shoesize_women(n) [;inch] shoe_women0 + n shoesize_delta ; \
1889 (shoesize_women+(-shoe_women0))/shoesize_delta
1890 shoesize_boys(n) [;inch] shoe_boys0 + n shoesize_delta ; \
1891 (shoesize_boys+(-shoe_boys0))/shoesize_delta
1892 shoesize_girls(n) [;inch] shoe_girls0 + n shoesize_delta ; \
1893 (shoesize_girls+(-shoe_girls0))/shoesize_delta
1894
1895 # European shoe size. According to
1896 # http://www.shoeline.com/footnotes/shoeterm.shtml#paris points
1897
1898 # sizes in Europe are measured with Paris points which simply measure
1899 # the length of the shoe.
1900
1901 europeshoesize 2|3 cm
1902
1903 #
1904 # USA slang units
1905 #
1906
1907 buck US$
1908 fin 5 US$
1909 sawbuck 10 US$
1910 usgrand 1000 US$
1911 greenback US$
1912 key kg # usually of marijuana, 60's
1913 lid 1 oz # Another 60's weed unit
1914 footballfield usfootballfield
1915 usfootballfield 100 yards
1916 canadafootballfield 110 yards # And 65 yards wide
1917 marathon 26 miles + 385 yards
1918
1919 #
1920 # British
1921 #
1922
1923 # The length measure in the UK was defined by a bronze bar manufactured in
1924 # 1844. Various conversions were sanctioned for convenience at different
1925 # times, which makes conversions before 1963 a confusing matter. Apparently
1926 # previous conversions were never explicitly revoked. Four different
1927 # conversion factors appear below. Multiply them times an imperial length
1928 # units as desired. The Weights and Measures Act of 1963 switched the UK away
1929 # from their bronze standard and onto a definition of the yard in terms of the
1930 # meter. This happened after an international agreement in 1959 to align the
1931 # world's measurement systems.
1932
1933 UK UKlength_SJJ
1934 UK- UK
1935 british- UK
1936
1937 UKlength_B 0.9143992 meter / yard # Benoit found the yard to be
1938 # 0.9143992 m at a weights and
1939 # measures conference around
1940 # 1896. Legally sanctioned
1941 # in 1898.
1942 UKlength_SJJ 0.91439841 meter / yard # In 1922, Seers, Jolly and
1943 # Johnson found the yard to be
1944 # 0.91439841 meters.
1945 # Used starting in the 1930's.
1946 UKlength_K meter / 39.37079 inch # In 1816 Kater found this ratio
1947 # for the meter and inch. This
1948 # value was used as the legal
1949 # conversion ratio when the
1950 # metric system was legalized
1951 # for contract in 1864.
1952 UKlength_C meter / 1.09362311 yard # In 1866 Clarke found the meter
1953 # to be 1.09362311 yards. This
1954 # conversion was legalized
1955 # around 1878.
1956 brnauticalmile 6080 ft # Used until 1970 when the UK
1957 brknot brnauticalmile / hr # switched to the international
1958 brcable 1|10 brnauticalmile # nautical mile.
1959 admiraltymile brnauticalmile
1960 admiraltyknot brknot
1961 admiraltycable brcable
1962 seamile 6000 ft
1963 shackle 15 fathoms # Adopted 1949 by British navy
1964
1965 # British Imperial weight is mostly the same as US weight. A few extra
1966 # units are added here.
1967
1968 clove 7 lb
1969 stone 14 lb
1970 tod 28 lb
1971 brquarterweight 1|4 brhundredweight
1972 brhundredweight 8 stone
1973 longhundredweight brhundredweight
1974 longton 20 brhundredweight
1975 brton longton
1976
1977 # British Imperial volume measures
1978
1979 brminim 1|60 brdram
1980 brscruple 1|3 brdram
1981 fluidscruple brscruple
1982 brdram 1|8 brfloz
1983 brfluidounce 1|20 brpint
1984 brfloz brfluidounce
1985 brgill 1|4 brpint
1986 brpint 1|2 brquart
1987 brquart 1|4 brgallon
1988 brgallon 4.54609 l # The British Imperial gallon was
1989 # defined in 1824 to be the volume of
1990 # water which weighed 10 pounds at 62
1991 # deg F with a pressure of 30 inHg.
1992 # It was also defined as 277.274 in^3,
1993 # Which is slightly in error. In
1994 # 1963 it was defined to be the volume
1995 # occupied by 10 pounds of distilled
1996 # water of density 0.998859 g/ml weighed
1997 # in air of density 0.001217 g/ml
1998 # against weights of density 8.136 g/ml.
1999 # This gives a value of approximately
2000 # 4.5459645 liters, but the old liter
2001 # was in force at this time. In 1976
2002 # the definition was changed to exactly
2003 # 4.54609 liters using the new
2004 # definition of the liter (1 dm^3).
2005 brbarrel 36 brgallon # Used for beer
2006 brbushel 8 brgallon
2007 brheapedbushel 1.278 brbushel
2008 brquarter 8 brbushel
2009 brchaldron 36 brbushel
2010
2011 # Obscure British volume measures. These units are generally traditional
2012 # measures whose definitions have fluctuated over the years. Often they
2013 # depended on the quantity being measured. They are given here in terms of
2014 # British Imperial measures. For example, the puncheon may have historically
2015 # been defined relative to the wine gallon or beer gallon or ale gallon
2016 # rather than the British Imperial gallon.
2017
2018 bag 4 brbushel
2019 bucket 4 brgallon
2020 kilderkin 2 brfirkin
2021 last 40 brbushel
2022 noggin brgill
2023 pottle 0.5 brgallon
2024 pin 4.5 brgallon
2025 puncheon 72 brgallon
2026 seam 8 brbushel
2027 coomb 4 brbushel
2028 boll 6 brbushel
2029 firlot 1|4 boll
2030 brfirkin 9 brgallon # Used for ale and beer
2031 cran 37.5 brgallon # measures herring, about 750 fish
2032 brwinehogshead 52.5 brgallon # This value is approximately equal
2033 brhogshead brwinehogshead # to the old wine hogshead of 63
2034 # wine gallons. This adjustment
2035 # is listed in the OED and in
2036 # "The Weights and Measures of
2037 # England" by R. D. Connor
2038 brbeerhogshead 54 brgallon
2039 brbeerbutt 2 brbeerhogshead
2040 registerton 100 ft^3 # Used for internal capacity of ships
2041 shippington 40 ft^3 # Used for ship's cargo freight or timber
2042 brshippington 42 ft^3 #
2043 freightton shippington # Both register ton and shipping ton derive
2044 # from the "tun cask" of wine.
2045 displacementton 35 ft^3 # Approximate volume of a longton weight of
2046 # sea water. Measures water displaced by
2047 # ships.
2048 waterton 224 brgallon
2049 strike 70.5 l # 16th century unit, sometimes
2050 # defined as .5, 2, or 4 bushels
2051 # depending on the location. It
2052 # probably doesn't make a lot of
2053 # sense to define in terms of imperial
2054 # bushels. Zupko gives a value of
2055 # 2 Winchester grain bushels or about
2056 # 70.5 liters.
2057 amber 4 brbushel# Used for dry and liquid capacity [18]
2058
2059 # obscure British lengths
2060
2061 barleycorn 1|3 UKinch # Given in Realm of Measure as the
2062 # difference between successive shoe sizes
2063 nail 1|16 UKyard # Originally the width of the thumbnail,
2064 # or 1|16 ft. This took on the general
2065 # meaning of 1|16 and settled on the
2066 # nail of a yard or 1|16 yards as its
2067 # final value. [12]
2068 pole 16.5 UKft # This was 15 Saxon feet, the Saxon
2069 rope 20 UKft # foot (aka northern foot) being longer
2070 englishell 45 UKinch
2071 flemishell 27 UKinch
2072 ell englishell # supposed to be measure from elbow to
2073 # fingertips
2074 span 9 UKinch # supposed to be distance from thumb
2075 # to pinky with full hand extension
2076 goad 4.5 UKft # used for cloth, possibly named after the
2077 # stick used for prodding animals.
2078
2079 # misc obscure British units
2080
2081 rood 1|4 acre
2082 englishcarat troyounce/151.5 # Originally intended to be 4 grain
2083 # but this value ended up being
2084 # used in the London diamond market
2085 mancus 2 oz
2086 mast 2.5 lb
2087 nailkeg 100 lbs
2088 basebox 31360 in^2 # Used in metal plating
2089
2090 # alternate spellings
2091
2092 metre meter
2093 gramme gram
2094 litre liter
2095 dioptre diopter
2096 aluminium aluminum
2097 sulphur sulfur
2098
2099 #
2100 # Units derived the human body (may not be very accurate)
2101 #
2102
2103 geometricpace 5 ft # distance between points where the same
2104 # foot hits the ground
2105 pace 2.5 ft # distance between points where alternate
2106 # feet touch the ground
2107 USmilitarypace 30 in # United States official military pace
2108 USdoubletimepace 36 in # United States official doubletime pace
2109 fingerbreadth 7|8 in # The finger is defined as either the width
2110 fingerlength 4.5 in # or length of the finger
2111 finger fingerbreadth
2112 palmwidth hand # The palm is a unit defined as either the width
2113 palmlength 8 in # or the length of the hand
2114 hand 4 inch # width of hand
2115 shaftment 6 inch # Distance from tip of outstretched thumb to the
2116 # opposite side of the palm of the hand. The
2117 # ending -ment is from the old English word
2118 # for hand. [18]
2119 smoot 5 ft + 7 in # Created as part of an MIT fraternity prank.
2120 # In 1958 Oliver Smoot was used to measure
2121 # the length of the Harvard Bridge, which was
2122 # marked off in smooth lengths. These
2123 # markings have been maintained on the bridge
2124 # since then and repainted by subsequent
2125 # incoming fraternity members. During a
2126 # bridge rennovation the new sidewalk was
2127 # scored every smooth rather than at the
2128 # customary 6 ft spacing.
2129 #
2130 # Cooking measures
2131 #
2132
2133 # Common abbreviations
2134
2135 tbl tablespoon
2136 tbsp tablespoon
2137 tblsp tablespoon
2138 Tb tablespoon
2139 tsp teaspoon
2140 saltspoon 1|4 tsp
2141
2142 # US measures
2143
2144 uscup 8 usfloz
2145 ustablespoon 1|16 uscup
2146 usteaspoon 1|3 ustablespoon
2147 ustbl ustablespoon
2148 ustbsp ustablespoon
2149 ustblsp ustablespoon
2150 ustsp usteaspoon
2151 metriccup 250 ml
2152 stickbutter 1|4 lb # Butter in the USA is sold in one
2153 # pound packages that contain four
2154 # individually wrapped pieces. The
2155 # pieces are marked into tablespoons,
2156 # making it possible to measure out
2157 # butter by volume by slicing the
2158 # butter.
2159
2160 # US can sizes.
2161
2162 number1can 10 usfloz
2163 number2can 19 usfloz
2164 number2.5can 3.5 uscups
2165 number3can 4 uscups
2166 number5can 7 uscups
2167 number10can 105 usfloz
2168
2169 # British measures
2170
2171 brcup 1|2 brpint
2172 brteacup 1|3 brpint
2173 brtablespoon 15 ml # Also 5|8 brfloz, approx 17.7 ml
2174 brteaspoon 1|3 brtablespoon # Also 1|4 brtablespoon
2175 brdessertspoon 2 brteaspoon
2176 dessertspoon brdessertspoon
2177 dsp dessertspoon
2178 brtsp brteaspoon
2179 brtbl brtablespoon
2180 brtbsp brtablespoon
2181 brtblsp brtablespoon
2182
2183 # Australian
2184
2185 australiatablespoon 20 ml
2186 austbl australiatablespoon
2187 austbsp australiatablespoon
2188 austblsp australiatablespoon
2189 australiateaspoon 1|4 australiatablespoon
2190 austsp australiateaspoon
2191
2192 # Chinese
2193
2194 catty 0.5 kg
2195 oldcatty 4|3 lbs # Before metric conversion.
2196 tael 1|16 oldcatty # Should the tael be defined both ways?
2197 mace 0.1 tael
2198 oldpicul 100 oldcatty
2199 picul 100 catty # Chinese usage
2200
2201 # Indian
2202
2203 seer 14400 grain # British Colonial standard
2204 ser seer
2205 maund 40 seer
2206 pakistanseer 1 kg
2207 pakistanmaund 40 pakistanseer
2208 chittak 1|16 seer
2209 tola 1|5 chittak
2210 ollock 1|4 liter # Is this right?
2211
2212 # Japanese
2213
2214 japancup 200 ml
2215
2216 # densities of cooking ingredients from The Cake Bible by Rose Levy Beranbaum
2217 # so you can convert '2 cups sugar' to grams, for example, or in the other
2218 # direction grams could be converted to 'cup flour_scooped'.
2219
2220 butter 8 oz/uscup
2221 butter_clarified 6.8 oz/uscup
2222 cocoa_butter 9 oz/uscup
2223 shortening 6.75 oz/uscup # vegetable shortening
2224 oil 7.5 oz/uscup
2225 cakeflour_sifted 3.5 oz/uscup # The density of flour depends on the
2226 cakeflour_spooned 4 oz/uscup # measuring method. "Scooped", or
2227 cakeflour_scooped 4.5 oz/uscup # "dip and sweep" refers to dipping a
2228 flour_sifted 4 oz/uscup # measure into a bin, and then sweeping
2229 flour_spooned 4.25 oz/uscup # the excess off the top. "Spooned"
2230 flour_scooped 5 oz/uscup # means to lightly spoon into a measure
2231 breadflour_sifted 4.25 oz/uscup # and then sweep the top. Sifted means
2232 breadflour_spooned 4.5 oz/uscup # sifting the flour directly into a
2233 breadflour_scooped 5.5 oz/uscup # measure and then sweeping the top.
2234 cornstarch 120 grams/uscup
2235 dutchcocoa_sifted 75 g/uscup # These are for Dutch processed cocoa
2236 dutchcocoa_spooned 92 g/uscup
2237 dutchcocoa_scooped 95 g/uscup
2238 cocoa_sifted 75 g/uscup # These are for nonalkalized cocoa
2239 cocoa_spooned 82 g/uscup
2240 cocoa_scooped 95 g/uscup
2241 heavycream 232 g/uscup
2242 milk 242 g/uscup
2243 sourcream 242 g/uscup
2244 molasses 11.25 oz/uscup
2245 cornsyrup 11.5 oz/uscup
2246 honey 11.75 oz/uscup
2247 sugar 200 g/uscup
2248 powdered_sugar 4 oz/uscup
2249 brownsugar_light 217 g/uscup # packed
2250 brownsugar_dark 239 g/uscup
2251
2252 baking_powder 4.6 grams / ustsp
2253 salt 6 g / ustsp
2254 koshersalt 2.8 g / ustsp # Diamond Crystal kosher salt
2255 koshersalt_morton 4.8 g / ustsp # Morton kosher salt
2256 # Values are from the nutrition info
2257 # on the packages
2258
2259
2260 # Egg weights and volumes for a USA large egg
2261
2262 egg 50 grams # without shell
2263 eggwhite 30 grams
2264 eggyolk 18.6 grams
2265 eggvolume 3 ustablespoons + 1|2 ustsp
2266 eggwhitevolume 2 ustablespoons
2267 eggyolkvolume 3.5 ustsp
2268
2269 #
2270 # Density measures. Density has traditionally been measured on a variety of
2271 # bizarre nonlinear scales.
2272 #
2273
2274 # Density of a sugar syrup is frequently measured in candy making procedures.
2275 # In the USA the boiling point of the syrup is measured. Some recipes instead
2276 # specify the density using degrees Baume. Conversion between degrees Baume
2277 # and the boiling point measure has proved elusive. One food science text
2278 # claimed that the boiling point elevation formula could be used. This formula
2279 # gives the elevation 1000 (.512) x / (100-x) 342.3 for sucrose. However,
2280 # it disagrees significantly with a table that appeared in another text
2281 # which gave the table below. However, this table cannot be converted reliably
2282 # to a density measure because the brix table stops at 80% concentration.
2283 #
2284 # temp(C) conc (%)
2285 # 100 30
2286 # 101 40
2287 # 102 50
2288 # 103 60
2289 # 106 70
2290 # 112 80
2291 # 123 90
2292 # 140 95
2293 # 151 97
2294 # 160 98.2
2295 # 166 99.5
2296 # 171 99.6
2297 #
2298
2299 # Degrees Baume is used in European recipes to specify the density of a sugar
2300 # syrup. An entirely different definition is used for densities below
2301 # 1 g/cm^3. An arbitrary constant appears in the definition. This value is
2302 # equal to 145 in the US, but was according to [], the old scale used in
2303 # Holland had a value of 144, and the new scale or Gerlach scale used 146.78.
2304
2305 baumeconst 144 # US value
2306 baume(d) [1;g/cm^3] (baumeconst/(baumeconst+-d)) g/cm^3 ; \
2307 (baume+((-g)/cm^3)) baumeconst / baume
2308
2309 twaddell(x) [1;g/cm^3] (1 + 0.005 x) g / cm^3 ; 200 (twaddell / (g/cm^3) +- 1)
2310
2311 # The degree quevenne is a unit for measuring the density of milk.
2312 quevenne(x) [1;g/cm^3] (1 + 0.001 x) g / cm^3 ; 1000 (quevenne / (g/cm^3) +- 1)
2313
2314 # Degrees brix measures sugar concentration by weigh as a percentage, so a
2315 # solution that is 3 degrees brix is 3% sugar by weight. This unit was named
2316 # after Adolf Brix who invented a hydrometer that read this percentage
2317 # directly. This table converts brix to density at 20 degrees Celsius.
2318
2319 brix[g/cm^3] \
2320 0.0 0.9982, 0.5 1.0002, 1.0 1.0021 \
2321 1.5 1.0040, 2.0 1.0060, 2.5 1.0079 \
2322 3.0 1.0099, 3.5 1.0119, 4.0 1.0139 \
2323 5.0 1.0178, 5.5 1.0198, 6.0 1.0218 \
2324 6.5 1.0238, 7.0 1.0259, 7.5 1.0279 \
2325 8.0 1.0299, 8.5 1.0320, 9.0 1.0340 \
2326 9.5 1.0361, 10.0 1.0381, 11.0 1.0423 \
2327 12.0 1.0465, 13.0 1.0507, 14.0 1.0549 \
2328 15.0 1.0592, 16.0 1.0635, 17.0 1.0678 \
2329 18.0 1.0722, 19.0 1.0766, 20.0 1.0810 \
2330 22.0 1.0899, 24.0 1.0990, 26.0 1.1082 \
2331 28.0 1.1175, 30.0 1.1270, 32.0 1.1366 \
2332 34.0 1.1464, 36.0 1.1562, 38.0 1.1663 \
2333 40.0 1.1765, 42.0 1.1868, 44.0 1.1972 \
2334 46.0 1.2079, 48.0 1.2186, 50.0 1.2295 \
2335 52.0 1.2406, 54.0 1.2518, 56.0 1.2632 \
2336 58.0 1.2747, 60.0 1.2864, 62.0 1.2983 \
2337 64.0 1.3103, 66.0 1.3224, 68.0 1.3348 \
2338 70.0 1.3472, 72.0 1.3599, 74.0 1.3726 \
2339 76.0 1.3855, 78.0 1.3986, 80.0 1.4117 \
2340 82.0 1.4250, 84.0 1.4383
2341
2342 # Density measure invented by the American Petroleum Institute. Lighter
2343 # petroleum products are more valuable, and they get a higher API degree.
2344
2345 apidegree(x) [1;g/cm^3] 141.5 g/cm^3 / (x+131.5) ; \
2346 141.5 (g/cm^3) / apidegree + (-131.5)
2347
2348 #
2349 # Units derived from imperial system
2350 #
2351
2352 ouncedal oz ft / s^2 # force which accelerates an ounce
2353 # at 1 ft/s^2
2354 poundal lb ft / s^2 # same thing for a pound
2355 tondal ton ft / s^2 # and for a ton
2356 pdl poundal
2357 osi ounce force / inch^2 # used in aviation
2358 psi pound force / inch^2
2359 psia psi # absolute pressure
2360 tsi ton force / inch^2
2361 reyn psi sec
2362 slug lbf s^2 / ft
2363 slugf slug force
2364 slinch lbf s^2 / inch # Mass unit derived from inch second
2365 slinchf slinch force # pound-force system. Used in space
2366 # applications where in/sec^2 was a
2367 # natural acceleration measure.
2368 geepound slug
2369 lbf lb force
2370 tonf ton force
2371 lbm lb
2372 kip 1000 lbf # from kilopound
2373 ksi kip / in^2
2374 mil 0.001 inch
2375 thou 0.001 inch
2376 circularinch 1|4 pi in^2 # area of a one-inch diameter circle
2377 circleinch circularinch # A circle with diameter d inches has
2378 # an area of d^2 circularinches
2379 cylinderinch circleinch inch # Cylinder h inch tall, d inches diameter
2380 # has volume d^2 h cylinder inches
2381 circularmil 1|4 pi mil^2 # area of one-mil diameter circle
2382 cmil circularmil
2383
2384 cental 100 pound
2385 centner cental
2386 caliber 0.01 inch # for measuring bullets
2387 duty ft lbf
2388 celo ft / s^2
2389 jerk ft / s^3
2390 australiapoint 0.01 inch # The "point" is used to measure rainfall
2391 # in Australia
2392 sabin ft^2 # Measure of sound absorption equal to the
2393 # absorbing power of one square foot of
2394 # a perfectly absorbing material. The
2395 # sound absorptivity of an object is the
2396 # area times a dimensionless
2397 # absorptivity coefficient.
2398 standardgauge 4 ft + 8.5 in # Standard width between railroad track
2399 flag 5 ft^2 # Construction term referring to sidewalk.
2400 rollwallpaper 30 ft^2 # Area of roll of wall paper
2401 fillpower in^3 / ounce # Density of down at standard pressure.
2402 # The best down has 750-800 fillpower.
2403 pinlength 1|16 inch # A #17 pin is 17/16 in long in the USA.
2404 buttonline 1|40 inch # The line was used in 19th century USA
2405 # to measure width of buttons.
2406 scoopnumber /quart # Ice cream scoops are labeled with a
2407 # number specifying how many scoops
2408 # fill a quart.
2409 beespace 1|4 inch # Bees will fill any space that is smaller
2410 # than the bee space and leave open
2411 # spaces that are larger. The size of
2412 # the space varies with species.
2413 diamond 8|5 ft # Marking on US tape measures that is
2414 # useful to carpenters who wish to place
2415 # five studs in an 8 ft distance. Note
2416 # that the numbers appear in red every
2417 # 16 inches as well, giving six
2418 # divisions in 8 feet.
2419 retmaunit 1.75 in # Height of rack mountable equipment.
2420 U retmaunit # Equipment should be 1|32 inch narrower
2421 RU U # than its U measurement indicates to
2422 # allow for clearance, so 4U=(6+31|32)in
2423 # RETMA stands for the former name of
2424 # the standardizing organization, Radio
2425 # Electronics Television Manufacturers
2426 # Association. This organization is now
2427 # called the Electronic Industries
2428 # Alliance (EIA) and the rack standard
2429 # is specified in EIA RS-310-D.
2430
2431 #
2432 # Other units of work, energy, power, etc
2433 #
2434
2435 ENERGY joule
2436 WORK joule
2437
2438 # Calories: energy to raise a gram of water one degree celsius
2439
2440 cal_IT 4.1868 J # International Table calorie
2441 cal_th 4.184 J # Thermochemical calorie
2442 cal_fifteen 4.18580 J # Energy to go from 14.5 to 15.5 degC
2443 cal_twenty 4.18190 J # Energy to go from 19.5 to 20.5 degC
2444 cal_mean 4.19002 J # 1|100 energy to go from 0 to 100 degC
2445 calorie cal_IT
2446 cal calorie
2447 calorie_IT cal_IT
2448 thermcalorie cal_th
2449 calorie_th thermcalorie
2450 Calorie kilocalorie # the food Calorie
2451 thermie 1e6 cal_fifteen # Heat required to raise the
2452 # temperature of a tonne of
2453 # water from 14.5 to 15.5 degC.
2454
2455 # btu definitions: energy to raise a pound of water 1 degF
2456
2457 btu cal lb degF / gram K # international table BTU
2458 britishthermalunit btu
2459 btu_IT btu
2460 btu_th cal_th lb degF / gram K
2461 btu_mean cal_mean lb degF / gram K
2462 quad quadrillion btu
2463
2464 ECtherm 1.05506e8 J # Exact definition, close to 1e5 btu
2465 UStherm 1.054804e8 J # Exact definition
2466 therm UStherm
2467
2468 # Energy densities of various fuels
2469 #
2470 # Most of these fuels have varying compositions or qualities and hence their
2471 # actual energy densities vary. These numbers are hence only approximate.
2472 #
2473 # E1. http://bioenergy.ornl.gov/papers/misc/energy_conv.html
2474 # E2. http://www.aps.org/policy/reports/popa-reports/energy/units.cfm
2475 # E3. http://www.ior.com.au/ecflist.html
2476
2477 tonoil 1e10 cal_IT # Ton oil equivalent. A conventional
2478 # value for the energy released by
2479 toe tonoil # burning one metric ton of oil. [18,E2]
2480 # Note that energy per mass of petroleum
2481 # products is fairly constant.
2482 # Variations in volumetric energy
2483 # density result from variations in the
2484 # density (kg/m^3) of different fuels.
2485 # This definition is given by the
2486 # IEA/OECD.
2487 toncoal 7e9 cal_IT # Energy in metric ton coal from [18].
2488 # This is a nominal value which
2489 # is close to the heat content
2490 # of coal used in the 1950's
2491 barreloil 5.8 Mbtu # Conventional value for barrel of crude
2492 # oil [E2]. Actual range is 5.6 - 6.3.
2493 naturalgas_HHV 1027 btu/ft3 # Energy content of natural gas. HHV
2494 naturalgas_LHV 930 btu/ft3 # is for Higher Heating Value and
2495 naturalgas naturalgas_HHV # includes energy from condensation
2496 # combustion products. LHV is for Lower
2497 # Heating Value and excludes these.
2498 # American publications typically report
2499 # HHV whereas European ones report LHV.
2500 charcoal 30 GJ/tonne
2501 woodenergy_dry 20 GJ/tonne # HHV, a cord weights about a tonne
2502 woodenergy_airdry 15 GJ/tonne # 20% moisture content
2503 coal_bituminous 27 GJ / tonne
2504 coal_lignite 15 GJ / tonne
2505 coal_US 22 GJ / ton # Average for US coal (short ton), 1995
2506 ethanol_HHV 84000 btu/usgallon
2507 ethanol_LHV 75700 btu/usgallon
2508 diesel 130500 btu/usgallon
2509 gasoline_LHV 115000 btu/usgallon
2510 gasoline_HHV 125000 btu/usgallon
2511 gasoline gasoline_HHV
2512 heating 37.3 MJ/liter
2513 fueloil 39.7 MJ/liter # low sulphur
2514 propane 93.3 MJ/m^3
2515 butane 124 MJ/m^3
2516
2517 # These values give total energy from uranium fission. Actual efficiency
2518 # of nuclear power plants is around 30%-40%. Note also that some reactors
2519 # use enriched uranium around 3% U-235. Uranium during processing or use
2520 # may be in a compound of uranium oxide or uranium hexafluoride, in which
2521 # case the energy density would be lower depending on how much uranium is
2522 # in the compound.
2523
2524 uranium_pure 200 MeV avogadro / (235.0439299 g/mol) # Pure U-235
2525 uranium_natural 0.7% uranium_pure # Natural uranium: 0.7% U-235
2526
2527 # Celsius heat unit: energy to raise a pound of water 1 degC
2528
2529 celsiusheatunit cal lb degC / gram K
2530 chu celsiusheatunit
2531
2532 POWER watt
2533
2534 # The horsepower is supposedly the power of one horse pulling. Obviously
2535 # different people had different horses.
2536
2537 ushorsepower 550 foot pound force / sec # Invented by James Watt
2538 hp horsepower
2539 metrichorsepower 75 kilogram force meter / sec # PS=Pferdestaerke in
2540 electrichorsepower 746 W # Germany
2541 boilerhorsepower 9809.50 W
2542 waterhorsepower 746.043 W
2543 brhorsepower 745.70 W
2544 donkeypower 250 W
2545 chevalvapeur metrichorsepower
2546
2547 # Thermal insulance: Thermal conductivity has dimension power per area per
2548 # (temperature difference per length thickness) which comes out to W / K m. If
2549 # the thickness is fixed, then the conductance will have units of W / K m^2.
2550 # Thermal insulance is the reciprocal.
2551
2552 THERMAL_CONDUCTANCE POWER/AREA (TEMPERATURE_DIFFERENCE/LENGTH)
2553 THERMAL_INSULANCE 1/THERMAL_CONDUCTANCE
2554 THERMAL_CONDUCTIVITY THERMAL_CONDUCTANCE / LENGTH
2555 THERMAL_INSULATION THERMAL_INSULANCE LENGTH
2556 Rvalue degF ft^2 hr / btu
2557 Uvalue 1/Rvalue
2558 europeanUvalue watt / m^2 K
2559 RSI degC m^2 / W
2560 clo 0.155 degC m^2 / W # Supposed to be the insulance
2561 # required to keep a resting person
2562 # comfortable indoors. The value
2563 # given is from NIST and the CRC,
2564 # but [5] gives a slightly different
2565 # value of 0.875 ft^2 degF hr / btu.
2566 tog 0.1 degC m^2 / W # Also used for clothing.
2567
2568
2569 # The bel was defined by engineers of Bell Laboratories to describe the
2570 # reduction in audio level over a length of one mile. It was originally
2571 # called the transmission unit (TU) but was renamed around 1923 to honor
2572 # Alexander Graham Bell. The bel proved inconveniently large so the decibel
2573 # has become more common. The decibel is dimensionless since it reports a
2574 # ratio, but it is used in various contexts to report a signal's power
2575 # relative to some reference level.
2576
2577 bel(x) [1;1] 10^(x); log(bel) # Basic bel definition
2578 decibel(x) [1;1] 10^(x/10); 10 log(decibel) # Basic decibel definition
2579 dB(x) [1;1] 10^(x/10); 10 log(dB) # Abbreviation
2580 dBW(x) [1;W] dB(x) W ; ~dB(dBW/W) # Reference = 1 W
2581 dBk(x) [1;W] dB(x) kW ; ~dB(dBk/kW) # Reference = 1 kW
2582 dBf(x) [1;W] dB(x) fW ; ~dB(dBf/fW) # Reference = 1 fW
2583 dBm(x) [1;W] dB(x) mW ; ~dB(dBm/mW) # Reference = 1 mW
2584 dBmW(x) [1;W] dBm(x) ; ~dBm(dBmW) # Reference = 1 mW
2585
2586 dBJ(x) [1;J] dB(x) J; ~dB(dBJ/J) # Energy relative to 1 joule
2587 # Used for power spectral density
2588 # since W/Hz = J
2589
2590 # When used to measure amplitude, voltage, or current the signal is squared
2591 # because power is proportional to the square of these measures. The root
2592 # mean square (RMS) voltage is typically used with these units.
2593
2594 dBV(x) [1;V] dB(0.5 x) V ; ~dB(dBV^2 / V^2) # Reference = 1 V
2595 dBmV(x) [1;V] dB(0.5 x) mV ; ~dB(dBmV^2 / mV^2) # Reference = 1 mV
2596 dBuV(x) [1;V] dB(0.5 x) microV ; ~dB(dBuV^2 / microV^2) # Ref = 1 microvolt
2597
2598 # Referenced to the voltage that causes 1 mW dissipation in a 600 ohm load.
2599 # Originally defined as dBv but changed to prevent confusion with dBV.
2600 # The "u" is for unloaded.
2601 dBu(x) [1;V] dB(0.5 x) sqrt(mW 600 ohm) ; ~dB(dBu^2 / mW 600 ohm)
2602 dBv(x) [1;V] dBu(x) ; ~dBu(dBv) # Synonym for dBu
2603
2604
2605 # Measurements for sound in air, referenced to the threshold of human hearing
2606 # Note that sound in other media typically uses 1 micropascal as a reference
2607 # for sound pressure. Units dBA, dBB, dBC, refer to different frequency
2608 # weightings meant to approximate the human ear's response.
2609
2610 dBSPL(x) [1;Pa] dB(0.5 x) 20 microPa ; ~dB(dBSPL^2 / (20 microPa)^2) # pressure
2611 dBSIL(x) [1;W/m^2] dB(x) 1e-12 W/m^2; ~dB(dBSIL / (1e-12 W/m^2)) # intensity
2612 dBSWL(x) [1;W] dB(x) 1e-12 W; ~dB(dBSWL/1e-12 W)
2613
2614
2615
2616 # Misc other measures
2617
2618 ENTROPY ENERGY / TEMPERATURE
2619 clausius 1e3 cal/K # A unit of physical entropy
2620 langley thermcalorie/cm^2 # Used in radiation theory
2621 poncelet 100 kg force m / s
2622 tonrefrigeration ton 144 btu / lb day # One ton refrigeration is
2623 # the rate of heat extraction required
2624 # turn one ton of water to ice in
2625 # a day. Ice is defined to have a
2626 # latent heat of 144 btu/lb.
2627 tonref tonrefrigeration
2628 refrigeration tonref / ton
2629 frigorie 1000 cal_fifteen# Used in refrigeration engineering.
2630 tnt 1e9 cal_th / ton# So you can write tons-tnt. This
2631 # is a defined, not measured, value.
2632 airwatt 8.5 (ft^3/min) inH2O # Measure of vacuum power as
2633 # pressure times air flow.
2634
2635 #
2636 # Permeability: The permeability or permeance, n, of a substance determines
2637 # how fast vapor flows through the substance. The formula W = n A dP
2638 # holds where W is the rate of flow (in mass/time), n is the permeability,
2639 # A is the area of the flow path, and dP is the vapor pressure difference.
2640 #
2641
2642 perm_0C grain / hr ft^2 inHg
2643 perm_zero perm_0C
2644 perm_0 perm_0C
2645 perm perm_0C
2646 perm_23C grain / hr ft^2 in Hg23C
2647 perm_twentythree perm_23C
2648
2649 #
2650 # Counting measures
2651 #
2652
2653 pair 2
2654 brace 2
2655 nest 3 # often used for items like bowls that
2656 # nest together
2657 hattrick 3 # Used in sports, especially cricket and ice
2658 # hockey to report the number of goals.
2659 dicker 10
2660 dozen 12
2661 bakersdozen 13
2662 score 20
2663 flock 40
2664 timer 40
2665 shock 60
2666 toncount 100 # Used in sports in the UK
2667 longhundred 120 # From a germanic counting system
2668 gross 144
2669 greatgross 12 gross
2670 tithe 1|10 # From Anglo-Saxon word for tenth
2671
2672 # Paper counting measure
2673
2674 shortquire 24
2675 quire 25
2676 shortream 480
2677 ream 500
2678 perfectream 516
2679 bundle 2 reams
2680 bale 5 bundles
2681
2682 #
2683 # Paper measures
2684 #
2685
2686 # USA paper sizes
2687
2688 lettersize 8.5 inch 11 inch
2689 legalsize 8.5 inch 14 inch
2690 ledgersize 11 inch 17 inch
2691 executivesize 7.25 inch 10.5 inch
2692 Apaper 8.5 inch 11 inch
2693 Bpaper 11 inch 17 inch
2694 Cpaper 17 inch 22 inch
2695 Dpaper 22 inch 34 inch
2696 Epaper 34 inch 44 inch
2697
2698 pointthickness mil
2699
2700 # The metric paper sizes are defined so that if a sheet is cut in half
2701 # along the short direction, the result is two sheets which are
2702 # similar to the original sheet. This means that for any metric size,
2703 # the long side is close to sqrt(2) times the length of the short
2704 # side. Each series of sizes is generated by repeated cuts in half,
2705 # with the values rounded down to the nearest millimeter.
2706
2707 A0paper 841 mm 1189 mm # The basic size in the A series
2708 A1paper 594 mm 841 mm # is defined to have an area of
2709 A2paper 420 mm 594 mm # one square meter.
2710 A3paper 297 mm 420 mm
2711 A4paper 210 mm 297 mm
2712 A5paper 148 mm 210 mm
2713 A6paper 105 mm 148 mm
2714 A7paper 74 mm 105 mm
2715 A8paper 52 mm 74 mm
2716 A9paper 37 mm 52 mm
2717 A10paper 26 mm 37 mm
2718
2719 B0paper 1000 mm 1414 mm # The basic B size has an area
2720 B1paper 707 mm 1000 mm # of sqrt(2) square meters.
2721 B2paper 500 mm 707 mm
2722 B3paper 353 mm 500 mm
2723 B4paper 250 mm 353 mm
2724 B5paper 176 mm 250 mm
2725 B6paper 125 mm 176 mm
2726 B7paper 88 mm 125 mm
2727 B8paper 62 mm 88 mm
2728 B9paper 44 mm 62 mm
2729 B10paper 31 mm 44 mm
2730
2731 C0paper 917 mm 1297 mm # The basic C size has an area
2732 C1paper 648 mm 917 mm # of sqrt(sqrt(2)) square meters.
2733 C2paper 458 mm 648 mm
2734 C3paper 324 mm 458 mm # Intended for envelope sizes
2735 C4paper 229 mm 324 mm
2736 C5paper 162 mm 229 mm
2737 C6paper 114 mm 162 mm
2738 C7paper 81 mm 114 mm
2739 C8paper 57 mm 81 mm
2740 C9paper 40 mm 57 mm
2741 C10paper 28 mm 40 mm
2742
2743 # gsm (Grams per Square Meter), a sane, metric paper weight measure
2744
2745 gsm grams / meter^2
2746
2747 # In the USA, a collection of crazy historical paper measures are used. Paper
2748 # is measured as a weight of a ream of that particular type of paper. This is
2749 # sometimes called the "substance" or "basis" (as in "substance 20" paper).
2750 # The standard sheet size or "basis size" varies depending on the type of
2751 # paper. As a result, 20 pound bond paper and 50 pound text paper are actually
2752 # about the same weight. The different sheet sizes were historically the most
2753 # convenient for printing or folding in the different applications. These
2754 # different basis weights are standards maintained by American Society for
2755 # Testing Materials (ASTM) and the American Forest and Paper Association
2756 # (AF&PA).
2757
2758 poundbookpaper lb / 25 inch 38 inch ream
2759 lbbook poundbookpaper
2760 poundtextpaper poundbookpaper
2761 lbtext poundtextpaper
2762 poundoffsetpaper poundbookpaper # For offset printing
2763 lboffset poundoffsetpaper
2764 poundbiblepaper poundbookpaper # Designed to be lightweight, thin,
2765 lbbible poundbiblepaper # strong and opaque.
2766 poundtagpaper lb / 24 inch 36 inch ream
2767 lbtag poundtagpaper
2768 poundbagpaper poundtagpaper
2769 lbbag poundbagpaper
2770 poundnewsprintpaper poundtagpaper
2771 lbnewsprint poundnewsprintpaper
2772 poundposterpaper poundtagpaper
2773 lbposter poundposterpaper
2774 poundtissuepaper poundtagpaper
2775 lbtissue poundtissuepaper
2776 poundwrappingpaper poundtagpaper
2777 lbwrapping poundwrappingpaper
2778 poundwaxingpaper poundtagpaper
2779 lbwaxing poundwaxingpaper
2780 poundglassinepaper poundtagpaper
2781 lbglassine poundglassinepaper
2782 poundcoverpaper lb / 20 inch 26 inch ream
2783 lbcover poundcoverpaper
2784 poundindexpaper lb / 25.5 inch 30.5 inch ream
2785 lbindex poundindexpaper
2786 poundindexbristolpaper poundindexpaper
2787 lbindexbristol poundindexpaper
2788 poundbondpaper lb / 17 inch 22 inch ream # Bond paper is stiff and
2789 lbbond poundbondpaper # durable for repeated
2790 poundwritingpaper poundbondpaper # filing, and it resists
2791 lbwriting poundwritingpaper # ink penetration.
2792 poundledgerpaper poundbondpaper
2793 lbledger poundledgerpaper
2794 poundcopypaper poundbondpaper
2795 lbcopy poundcopypaper
2796 poundblottingpaper lb / 19 inch 24 inch ream
2797 lbblotting poundblottingpaper
2798 poundblankspaper lb / 22 inch 28 inch ream
2799 lbblanks poundblankspaper
2800 poundpostcardpaper lb / 22.5 inch 28.5 inch ream
2801 lbpostcard poundpostcardpaper
2802 poundweddingbristol poundpostcardpaper
2803 lbweddingbristol poundweddingbristol
2804 poundbristolpaper poundweddingbristol
2805 lbbristol poundbristolpaper
2806 poundboxboard lb / 1000 ft^2
2807 lbboxboard poundboxboard
2808 poundpaperboard poundboxboard
2809 lbpaperboard poundpaperboard
2810
2811 # When paper is marked in units of M, it means the weight of 1000 sheets of the
2812 # given size of paper. To convert this to paper weight, divide by the size of
2813 # the paper in question.
2814
2815 paperM lb / 1000
2816
2817 # In addition paper weight is reported in "caliper" which is simply the
2818 # thickness of one sheet, typically in inches. Thickness is also reported in
2819 # "points" where a point is 1|1000 inch. These conversions are supplied to
2820 # convert these units roughly (using an approximate density) into the standard
2821 # paper weight values.
2822
2823 paperdensity 0.8 g/cm^3 # approximate--paper densities vary!
2824 papercaliper in paperdensity
2825 paperpoint 0.001 in paperdensity
2826
2827 #
2828 # Printing
2829 #
2830
2831 fournierpoint 0.1648 inch / 12 # First definition of the printers
2832 # point made by Pierre Fournier who
2833 # defined it in 1737 as 1|12 of a
2834 # cicero which was 0.1648 inches.
2835 olddidotpoint 1|72 frenchinch # François Ambroise Didot, one of
2836 # a family of printers, changed
2837 # Fournier's definition around 1770
2838 # to fit to the French units then in
2839 # use.
2840 bertholdpoint 1|2660 m # H. Berthold tried to create a
2841 # metric version of the didot point
2842 # in 1878.
2843 INpoint 0.4 mm # This point was created by a
2844 # group directed by Fermin Didot in
2845 # 1881 and is associated with the
2846 # imprimerie nationale. It doesn't
2847 # seem to have been used much.
2848 germandidotpoint 0.376065 mm # Exact definition appears in DIN
2849 # 16507, a German standards document
2850 # of 1954. Adopted more broadly in
2851 # 1966 by ???
2852 metricpoint 3|8 mm # Proposed in 1977 by Eurograf
2853 oldpoint 1|72.27 inch # The American point was invented
2854 printerspoint oldpoint # by Nelson Hawks in 1879 and
2855 texpoint oldpoint # dominates USA publishing.
2856 # It was standardized by the American
2857 # Typefounders Association at the
2858 # value of 0.013837 inches exactly.
2859 # Knuth uses the approximation given
2860 # here (which is very close). The
2861 # comp.fonts FAQ claims that this
2862 # value is supposed to be 1|12 of a
2863 # pica where 83 picas is equal to 35
2864 # cm. But this value differs from
2865 # the standard.
2866 texscaledpoint 1|65536 texpoint # The TeX typesetting system uses
2867 texsp texscaledpoint # this for all computations.
2868 computerpoint 1|72 inch # The American point was rounded
2869 point computerpoint
2870 computerpica 12 computerpoint # to an even 1|72 inch by computer
2871 postscriptpoint computerpoint # people at some point.
2872 pspoint postscriptpoint
2873 twip 1|20 point # TWentieth of an Imperial Point
2874 Q 1|4 mm # Used in Japanese phototypesetting
2875 # Q is for quarter
2876 frenchprinterspoint olddidotpoint
2877 didotpoint germandidotpoint # This seems to be the dominant value
2878 europeanpoint didotpoint # for the point used in Europe
2879 cicero 12 didotpoint
2880
2881 stick 2 inches
2882
2883 # Type sizes
2884
2885 excelsior 3 oldpoint
2886 brilliant 3.5 oldpoint
2887 diamondtype 4 oldpoint
2888 pearl 5 oldpoint
2889 agate 5.5 oldpoint # Originally agate type was 14 lines per
2890 # inch, giving a value of 1|14 in.
2891 ruby agate # British
2892 nonpareil 6 oldpoint
2893 mignonette 6.5 oldpoint
2894 emerald mignonette # British
2895 minion 7 oldpoint
2896 brevier 8 oldpoint
2897 bourgeois 9 oldpoint
2898 longprimer 10 oldpoint
2899 smallpica 11 oldpoint
2900 pica 12 oldpoint
2901 english 14 oldpoint
2902 columbian 16 oldpoint
2903 greatprimer 18 oldpoint
2904 paragon 20 oldpoint
2905 meridian 44 oldpoint
2906 canon 48 oldpoint
2907
2908 # German type sizes
2909
2910 nonplusultra 2 didotpoint
2911 brillant 3 didotpoint
2912 diamant 4 didotpoint
2913 perl 5 didotpoint
2914 nonpareille 6 didotpoint
2915 kolonel 7 didotpoint
2916 petit 8 didotpoint
2917 borgis 9 didotpoint
2918 korpus 10 didotpoint
2919 corpus korpus
2920 garamond korpus
2921 mittel 14 didotpoint
2922 tertia 16 didotpoint
2923 text 18 didotpoint
2924 kleine_kanon 32 didotpoint
2925 kanon 36 didotpoint
2926 grobe_kanon 42 didotpoint
2927 missal 48 didotpoint
2928 kleine_sabon 72 didotpoint
2929 grobe_sabon 84 didotpoint
2930
2931 #
2932 # Information theory units. Note that the name "entropy" is used both
2933 # to measure information and as a physical quantity.
2934 #
2935
2936 INFORMATION bit
2937
2938 nat ln(2) bits # Entropy measured base e
2939 hartley log2(10) bits # Entropy of a uniformly
2940 # distributed random variable
2941 # over 10 symbols.
2942 #
2943 # Computer
2944 #
2945
2946 bps bit/sec # Sometimes the term "baud" is
2947 # incorrectly used to refer to
2948 # bits per second. Baud refers
2949 # to symbols per second. Modern
2950 # modems transmit several bits
2951 # per symbol.
2952 byte 8 bit # Not all machines had 8 bit
2953 B byte # bytes, but these days most of
2954 # them do. But beware: for
2955 # transmission over modems, a
2956 # few extra bits are used so
2957 # there are actually 10 bits per
2958 # byte.
2959 octet 8 bits # The octet is always 8 bits
2960 nybble 4 bits # Half of a byte. Sometimes
2961 # equal to different lengths
2962 # such as 3 bits.
2963 nibble nybble
2964 nyp 2 bits # Donald Knuth asks in an exercise
2965 # for a name for a 2 bit
2966 # quantity and gives the "nyp"
2967 # as a solution due to Gregor
2968 # Purdy. Not in common use.
2969 meg megabyte # Some people consider these
2970 # units along with the kilobyte
2971 gig gigabyte # to be defined according to
2972 # powers of 2 with the kilobyte
2973 # equal to 2^10 bytes, the
2974 # megabyte equal to 2^20 bytes and
2975 # the gigabyte equal to 2^30 bytes
2976 # but these usages are forbidden
2977 # by SI. Binary prefixes have
2978 # been defined by IEC to replace
2979 # the SI prefixes. Use them to
2980 # get the binary values: KiB, MiB,
2981 # and GiB.
2982 jiffy 0.01 sec # This is defined in the Jargon File
2983 jiffies jiffy # (http://www.jargon.org) as being the
2984 # duration of a clock tick for measuring
2985 # wall-clock time. Supposedly the value
2986 # used to be 1|60 sec or 1|50 sec
2987 # depending on the frequency of AC power,
2988 # but then 1|100 sec became more common.
2989 # On linux systems, this term is used and
2990 # for the Intel based chips, it does have
2991 # the value of .01 sec. The Jargon File
2992 # also lists two other definitions:
2993 # millisecond, and the time taken for
2994 # light to travel one foot.
2995 cdaudiospeed 44.1 kHz 2*16 bits # CD audio data rate at 44.1 kHz with 2
2996 # samples of sixteen bits each.
2997 cdromspeed 75 2048 bytes / sec # For data CDs (mode1) 75 sectors are read
2998 # each second with 2048 bytes per sector.
2999 # Audio CDs do not have sectors, but
3000 # people sometimes divide the bit rate by
3001 # 75 and claim a sector length of 2352.
3002 # Data CDs have a lower rate due to
3003 # increased error correction overhead.
3004 # There is a rarely used mode (mode2) with
3005 # 2336 bytes per sector that has fewer
3006 # error correction bits than mode1.
3007 dvdspeed 1385 kB/s # This is the "1x" speed of a DVD using
3008 # constant linear velocity (CLV) mode.
3009 # Modern DVDs may vary the linear velocity
3010 # as they go from the inside to the
3011 # outside of the disc.
3012 # See http://www.osta.org/technology/dvdqa/dvdqa4.htm
3013
3014
3015 #
3016 # Musical measures. Musical intervals expressed as ratios. Multiply
3017 # two intervals together to get the sum of the interval. The function
3018 # musicalcent can be used to convert ratios to cents.
3019 #
3020
3021 # Perfect intervals
3022
3023 octave 2
3024 majorsecond musicalfifth^2 / octave
3025 majorthird 5|4
3026 minorthird 6|5
3027 musicalfourth 4|3
3028 musicalfifth 3|2
3029 majorsixth musicalfourth majorthird
3030 minorsixth musicalfourth minorthird
3031 majorseventh musicalfifth majorthird
3032 minorseventh musicalfifth minorthird
3033
3034 pythagoreanthird majorsecond musicalfifth^2 / octave
3035 syntoniccomma pythagoreanthird / majorthird
3036 pythagoreancomma musicalfifth^12 / octave^7
3037
3038 # Equal tempered definitions
3039
3040 semitone octave^(1|12)
3041 musicalcent(x) [1;1] semitone^(x/100) ; 100 log(musicalcent)/log(semitone)
3042
3043 #
3044 # Musical note lengths.
3045 #
3046
3047 wholenote !
3048 MUSICAL_NOTE_LENGTH wholenote
3049 halfnote 1|2 wholenote
3050 quarternote 1|4 wholenote
3051 eighthnote 1|8 wholenote
3052 sixteenthnote 1|16 wholenote
3053 thirtysecondnote 1|32 wholenote
3054 sixtyfourthnote 1|64 wholenote
3055 dotted 3|2
3056 doubledotted 7|4
3057 breve doublewholenote
3058 semibreve wholenote
3059 minimnote halfnote
3060 crotchet quarternote
3061 quaver eighthnote
3062 semiquaver sixteenthnote
3063 demisemiquaver thirtysecondnote
3064 hemidemisemiquaver sixtyfourthnote
3065 semidemisemiquaver hemidemisemiquaver
3066
3067 #
3068 # yarn and cloth measures
3069 #
3070
3071 # yarn linear density
3072
3073 woolyarnrun 1600 yard/pound # 1600 yds of "number 1 yarn" weighs
3074 # a pound.
3075 yarncut 300 yard/pound # Less common system used in
3076 # Pennsylvania for wool yarn
3077 cottonyarncount 840 yard/pound
3078 linenyarncount 300 yard/pound # Also used for hemp and ramie
3079 worstedyarncount 1680 ft/pound
3080 metricyarncount meter/gram
3081 denier 1|9 tex # used for silk and rayon
3082 manchesteryarnnumber drams/1000 yards # old system used for silk
3083 pli lb/in
3084 typp 1000 yd/lb # abbreviation for Thousand Yard Per Pound
3085 asbestoscut 100 yd/lb # used for glass and asbestos yarn
3086
3087 tex gram / km # rational metric yarn measure, meant
3088 drex 0.1 tex # to be used for any kind of yarn
3089 poumar lb / 1e6 yard
3090
3091 # yarn and cloth length
3092
3093 skeincotton 80*54 inch # 80 turns of thread on a reel with a
3094 # 54 in circumference (varies for other
3095 # kinds of thread)
3096 cottonbolt 120 ft # cloth measurement
3097 woolbolt 210 ft
3098 bolt cottonbolt
3099 heer 600 yards
3100 cut 300 yards # used for wet-spun linen yarn
3101 lea 300 yards
3102
3103 sailmakersyard 28.5 in
3104 sailmakersounce oz / sailmakersyard 36 inch
3105
3106 silkmomme momme / 25 yards 1.49 inch # Traditional silk weight
3107 silkmm silkmomme # But it is also defined as
3108 # lb/100 yd 45 inch. The two
3109 # definitions are slightly different
3110 # and neither one seems likely to be
3111 # the true source definition.
3112
3113 #
3114 # drug dosage
3115 #
3116
3117 mcg microgram # Frequently used for vitamins
3118 iudiptheria 62.8 microgram # IU is for international unit
3119 iupenicillin 0.6 microgram
3120 iuinsulin 41.67 microgram
3121 drop 1|20 ml # The drop was an old "unit" that was
3122 # replaced by the minim. But I was
3123 # told by a pharmacist that in his
3124 # profession, the conversion of 20
3125 # drops per ml is actually used.
3126 bloodunit 450 ml # For whole blood. For blood
3127 # components, a blood unit is the
3128 # quanity of the component found in a
3129 # blood unit of whole blood. The
3130 # human body contains about 12 blood
3131 # units of whole blood.
3132
3133 #
3134 # misc medical measure
3135 #
3136
3137 frenchcathetersize 1|3 mm # measure used for the outer diameter
3138 # of a catheter
3139
3140
3141 #
3142 # fixup units for times when prefix handling doesn't do the job
3143 #
3144
3145 hectare hectoare
3146 megohm megaohm
3147 kilohm kiloohm
3148 microhm microohm
3149 megalerg megaerg # 'L' added to make it pronounceable [18].
3150
3151 #
3152 # Money
3153 #
3154 # Note that US$ is the primitive unit so other currencies are
3155 # generally given in US$.
3156 #
3157
3158 $ dollar
3159 mark germanymark
3160 bolivar venezuelabolivar
3161 bolivarfuerte bolivar # The currency was revalued by
3162 oldbolivar 1|1000 bolivar # a factor of 1000.
3163 peseta spainpeseta
3164 rand southafricarand
3165 escudo portugalescudo
3166 guilder netherlandsguilder
3167 hollandguilder netherlandsguilder
3168 peso mexicopeso
3169 yen japanyen
3170 lira italylira
3171 rupee indiarupee
3172 drachma greecedrachma
3173 franc francefranc
3174 markka finlandmarkka
3175 britainpound greatbritainpound
3176 poundsterling britainpound
3177 yuan chinayuan
3178
3179 # Some European currencies have permanent fixed exchange rates with
3180 # the Euro. These rates were taken from the EC's web site:
3181 # http://ec.europa.eu/economy_finance/euro/adoption/conversion/index_en.htm
3182
3183 austriaschilling 1|13.7603 euro
3184 belgiumfranc 1|40.3399 euro
3185 estoniakroon 1|15.6466 euro # Equal to 1|8 germanymark
3186 finlandmarkka 1|5.94573 euro
3187 francefranc 1|6.55957 euro
3188 germanymark 1|1.95583 euro
3189 greecedrachma 1|340.75 euro
3190 irelandpunt 1|0.787564 euro
3191 italylira 1|1936.27 euro
3192 luxembourgfranc 1|40.3399 euro
3193 netherlandsguilder 1|2.20371 euro
3194 portugalescudo 1|200.482 euro
3195 spainpeseta 1|166.386 euro
3196 cypruspound 1|0.585274 euro
3197 maltalira 1|0.429300 euro
3198 sloveniatolar 1|239.640 euro
3199 slovakiakoruna 1|30.1260 euro
3200
3201 # Currencey exchange rates for 10 Feb 2010
3202
3203 unitedarabemiratesdirham 0.2722 US$
3204 afghanistanafghani 0.02224 US$
3205 albanialek 0.009902 US$
3206 armeniadram 0.00264 US$
3207 netherlandsantillesguilder 0.5587 US$
3208 angolakwanza 0.01108 US$
3209 argentinapeso 0.2603 US$
3210 australiadollar 0.8855 US$
3211 arubaguilders 0.5587 US$
3212 azerbaijannewmanat 1.2449 US$
3213 bosniamarka 0.7028 US$
3214 barbadosdollar 0.4988 US$
3215 bangladeshtaka 0.01445 US$
3216 bulgarialev 0.7 US$
3217 bahraindinar 2.652 US$
3218 burundifranc 0.000823 US$
3219 bermudadollar 1 US$
3220 bruneidollar 0.7066 US$
3221 boliviaboliviano 0.1425 US$
3222 brazilreal 0.5404 US$
3223 bahamasdollar 1 US$
3224 bhutanngultrum 0.02151 US$
3225 botswanapula 0.1455 US$
3226 belarusruble 0.000345 US$
3227 belizedollar 0.5128 US$
3228 canadadollar 0.9444 US$
3229 congofranc 0.001099 US$
3230 switzerlandfranc 0.9391 US$
3231 chilepeso 0.001871 US$
3232 chinayuan 0.1465 US$
3233 colombiapeso 0.000511 US$
3234 costaricacolon 0.001803 US$
3235 cubapeso 1 US$
3236 capeverdeescudo 0.01351 US$
3237 czechkoruny 5.2772 US$
3238 djiboutifranc 0.005595 US$
3239 denmarkkroner 18.498 US$
3240 dominicanrepublicpeso 0.02755 US$
3241 algeriadinar 0.01371 US$
3242 egyptpound 0.1822 US$
3243 eritreanakfa 0.06622 US$
3244 ethiopiabirr 0.07469 US$
3245 euro 1.3774 US$
3246 fijidollar 0.5099 US$
3247 falklandislandspound 1.5628 US$
3248 greatbritainpound 1.5626 US$
3249 georgialari 0.5856 US$
3250 ghanacedi 0.703 US$
3251 gibraltarpound 1.5628 US$
3252 gambiadalasi 0.03737 US$
3253 guineafranc 0.000199 US$
3254 guatemalaquetzal 0.1221 US$
3255 guyanadollar 0.004862 US$
3256 hongkongdollar 0.1287 US$
3257 honduraslempira 0.05292 US$
3258 croatiakuna 0.1883 US$
3259 haitigourdes 0.02516 US$
3260 hungaryforint 0.005075 US$
3261 indonesiarupiah 0.01068 US$
3262 israelnewshekel 0.2667 US$
3263 indiarupee 0.02157 US$
3264 iraqdinar 0.000858 US$
3265 iranrial 0.000102 US$
3266 icelandkrona 0.007822 US$
3267 jamaicadollar 0.01122 US$
3268 jordandinar 1.4085 US$
3269 japanyen 0.0111 US$
3270 kenyashilling 0.0131 US$
3271 kyrgyzstansom 0.02239 US$
3272 cambodiariel 0.00024 US$
3273 comorosfranc 0.002799 US$
3274 northkoreawon 0.001111 US$
3275 kuwaitdinar 3.4697 US$
3276 caymanislandsdollar 1.2183 US$
3277 kazakhstantenge 0.006747 US$
3278 laoskip 0.000118 US$
3279 lebanonpound 0.000666 US$
3280 srilankarupee 0.008715 US$
3281 liberiadollar 0.01405 US$
3282 lesothomaloti 0.1297 US$
3283 lithuanialitai 0.399 US$
3284 latvialatas 1.9421 US$
3285 libyadinar 0.7977 US$
3286 moroccodirham 0.1226 US$
3287 moldovaleu 0.07803 US$
3288 madagascarariary 0.000468 US$
3289 macedoniadenar 0.02231 US$
3290 myanmarkyat 0.1536 US$
3291 mongoliatugrik 0.000693 US$
3292 macaupataca 0.125 US$
3293 mauritaniaouguiya 0.003824 US$
3294 mauritiusrupee 0.03279 US$
3295 maldivesrufiyaa 0.07813 US$
3296 malawikwacha 0.006632 US$
3297 mexicopeso 0.07639 US$
3298 malaysiaringgit 0.2921 US$
3299 mozambiquemeticai 0.0316 US$
3300 namibiadollar 0.1296 US$
3301 nigerianaira 0.006631 US$
3302 nicaraguacordoba 0.0477 US$
3303 norwaykrone 0.1695 US$
3304 nepalnepalrupee 0.01342 US$
3305 newzealanddollar 0.6967 US$
3306 omanrial 2.5971 US$
3307 panamabalboa 1 US$
3308 perusol 0.3486 US$
3309 papuanewguineakina 0.3754 US$
3310 philippinespeso 0.02157 US$
3311 pakistanrupee 0.01179 US$
3312 polandzloty 0.3389 US$
3313 paraguayguarani 0.000213 US$
3314 qatarrial 0.2747 US$
3315 romanialeu 0.3338 US$
3316 serbiadinar 0.01393 US$
3317 russiaruble 0.03304 US$
3318 rwandafranc 0.001745 US$
3319 saudiarabiariyal 0.2667 US$
3320 solomonislandsdollar 0.1273 US$
3321 seychellesrupee 0.08753 US$
3322 sudanpound 0.4464 US$
3323 swedenkronor 13.719 US$
3324 singaporedollar 0.7065 US$
3325 sainthelenapound 1.5627 US$
3326 sierraleoneleone 0.000255 US$
3327 somaliashilling 0.000669 US$
3328 surinamedollar 0.3635 US$
3329 saotomedobra 6.427e-05 US$
3330 elsalvadorcolon 0.1143 US$
3331 syriapound 0.02179 US$
3332 swazilandemalangeni 0.1297 US$
3333 thailandbaht 0.03016 US$
3334 tajikistansomoni 0.229 US$
3335 tunisiadinar 0.7275 US$
3336 tongapa'anga 0.517 US$
3337 turkeynewlira 0.6597 US$
3338 trinidadandtobagodollar 0.1579 US$
3339 taiwandollars 0.03119 US$
3340 tanzaniashilling 0.000741 US$
3341 ukrainehryvnia 0.1239 US$
3342 ugandashilling 0.000505 US$
3343 unitedstatesdollar 1 US$
3344 uruguaypeso 0.05079 US$
3345 uzbekistansum 0.000653 US$
3346 venezuelabolivar 0.233 US$
3347 vietnamdong 5.4e-05 US$
3348 vanuatuvatu 0.01008 US$
3349 samoatala 0.3885 US$
3350 silverounce 13.344 US$
3351 goldounce 1076.6 US$
3352 eastcaribbeandollar 0.3824 US$
3353 palladiumounce 207.4 US$
3354 platinumounce 1117.7 US$
3355 yemenrial 0.004855 US$
3356 southafricarand 0.1297 US$
3357 zambiakwacha 0.000214 US$
3358 zimbabwedollar 0.002641 US$
3359
3360 # ISO Currency Codes
3361
3362 AED unitedarabemiratesdirham
3363 AFN afghanistanafghani
3364 ALL albanialek
3365 AMD armeniadram
3366 ANG netherlandsantillesguilder
3367 AOA angolakwanza
3368 ARS argentinapeso
3369 AUD australiadollar
3370 AWG arubaguilders
3371 AZN azerbaijannewmanat
3372 BAM bosniamarka
3373 BBD barbadosdollar
3374 BDT bangladeshtaka
3375 BGN bulgarialev
3376 BHD bahraindinar
3377 BIF burundifranc
3378 BMD bermudadollar
3379 BND bruneidollar
3380 BOB boliviaboliviano
3381 BRL brazilreal
3382 BSD bahamasdollar
3383 BTN bhutanngultrum
3384 BWP botswanapula
3385 BYR belarusruble
3386 BZD belizedollar
3387 CAD canadadollar
3388 CDF congofranc
3389 CHF switzerlandfranc
3390 CLP chilepeso
3391 CNY chinayuan
3392 COP colombiapeso
3393 CRC costaricacolon
3394 CUP cubapeso
3395 CVE capeverdeescudo
3396 CZK czechkoruny
3397 DJF djiboutifranc
3398 DKK denmarkkroner
3399 DOP dominicanrepublicpeso
3400 DZD algeriadinar
3401 EEK estoniakroon
3402 EGP egyptpound
3403 ERN eritreanakfa
3404 ETB ethiopiabirr
3405 EUR euro
3406 FJD fijidollar
3407 FKP falklandislandspound
3408 GBP greatbritainpound
3409 GEL georgialari
3410 GHS ghanacedi
3411 GIP gibraltarpound
3412 GMD gambiadalasi
3413 GNF guineafranc
3414 GTQ guatemalaquetzal
3415 GYD guyanadollar
3416 HKD hongkongdollar
3417 HNL honduraslempira
3418 HRK croatiakuna
3419 HTG haitigourdes
3420 HUF hungaryforint
3421 IDR indonesiarupiah
3422 ILS israelnewshekel
3423 INR indiarupee
3424 IQD iraqdinar
3425 IRR iranrial
3426 ISK icelandkrona
3427 JMD jamaicadollar
3428 JOD jordandinar
3429 JPY japanyen
3430 KES kenyashilling
3431 KGS kyrgyzstansom
3432 KHR cambodiariel
3433 KMF comorosfranc
3434 KPW northkoreawon
3435 KWD kuwaitdinar
3436 KYD caymanislandsdollar
3437 KZT kazakhstantenge
3438 LAK laoskip
3439 LBP lebanonpound
3440 LKR srilankarupee
3441 LRD liberiadollar
3442 LSL lesothomaloti
3443 LTL lithuanialitai
3444 LVL latvialatas
3445 LYD libyadinar
3446 MAD moroccodirham
3447 MDL moldovaleu
3448 MGA madagascarariary
3449 MKD macedoniadenar
3450 MMK myanmarkyat
3451 MNT mongoliatugrik
3452 MOP macaupataca
3453 MRO mauritaniaouguiya
3454 MUR mauritiusrupee
3455 MVR maldivesrufiyaa
3456 MWK malawikwacha
3457 MXN mexicopeso
3458 MYR malaysiaringgit
3459 MZN mozambiquemeticai
3460 NAD namibiadollar
3461 NGN nigerianaira
3462 NIO nicaraguacordoba
3463 NOK norwaykrone
3464 NPR nepalnepalrupee
3465 NZD newzealanddollar
3466 OMR omanrial
3467 PAB panamabalboa
3468 PEN perusol
3469 PGK papuanewguineakina
3470 PHP philippinespeso
3471 PKR pakistanrupee
3472 PLN polandzloty
3473 PYG paraguayguarani
3474 QAR qatarrial
3475 RON romanialeu
3476 RSD serbiadinar
3477 RUB russiaruble
3478 RWF rwandafranc
3479 SAR saudiarabiariyal
3480 SBD solomonislandsdollar
3481 SCR seychellesrupee
3482 SDG sudanpound
3483 SEK swedenkronor
3484 SGD singaporedollar
3485 SHP sainthelenapound
3486 SLL sierraleoneleone
3487 SOS somaliashilling
3488 SRD surinamedollar
3489 STD saotomedobra
3490 SVC elsalvadorcolon
3491 SYP syriapound
3492 SZL swazilandemalangeni
3493 THB thailandbaht
3494 TJS tajikistansomoni
3495 TND tunisiadinar
3496 TOP tongapa'anga
3497 TRY turkeynewlira
3498 TTD trinidadandtobagodollar
3499 TWD taiwandollars
3500 TZS tanzaniashilling
3501 UAH ukrainehryvnia
3502 UGX ugandashilling
3503 USD unitedstatesdollar
3504 UYU uruguaypeso
3505 UZS uzbekistansum
3506 VEF venezuelabolivar # bolivar fuerte
3507 VND vietnamdong
3508 VUV vanuatuvatu
3509 WST samoatala
3510 XAG silverounce
3511 XAU goldounce
3512 XCD eastcaribbeandollar
3513 XPD palladiumounce
3514 XPT platinumounce
3515 YER yemenrial
3516 ZAR southafricarand
3517 ZMK zambiakwacha
3518 ZWD zimbabwedollar
3519
3520 # Precious metals
3521
3522 silverprice silverounce / troyounce
3523 goldprice goldounce / troyounce
3524 palladiumprice palladiumounce / troyounce
3525 platinumprice platinumounce / troyounce
3526
3527
3528 UKP GBP # Not an ISO code, but looks like one, and
3529 # sometimes used on usenet.
3530 VEB 1|1000 VEF # old venezuelan bolivar
3531
3532
3533
3534
3535 # Money on the gold standard, used in the late 19th century and early
3536 # 20th century.
3537
3538 olddollargold 23.22 grains goldprice # Used until 1934
3539 newdollargold 96|7 grains goldprice # After Jan 31, 1934
3540 dollargold newdollargold
3541 poundgold 113 grains goldprice
3542
3543 # Nominal masses of US coins. Note that dimes, quarters and half dollars
3544 # have weight proportional to value. Before 1965 it was $40 / kg.
3545
3546 USpennyweight 2.5 grams # Since 1982, 48 grains before
3547 USnickelweight 5 grams
3548 USdimeweight 10 cents / (20 US$ / lb) # Since 1965
3549 USquarterweight 25 cents / (20 US$ / lb) # Since 1965
3550 UShalfdollarweight 50 cents / (20 US$ / lb) # Since 1971
3551 USdollarmass 8.1 grams
3552
3553 # British currency
3554
3555 quid britainpound # Slang names
3556 fiver 5 quid
3557 tenner 10 quid
3558 monkey 500 quid
3559 brgrand 1000 quid
3560 bob shilling
3561
3562 shilling 1|20 britainpound # Before decimalisation, there
3563 oldpence 1|12 shilling # were 20 shillings to a pound,
3564 farthing 1|4 oldpence # each of twelve old pence
3565 guinea 21 shilling # Still used in horse racing
3566 crown 5 shilling
3567 florin 2 shilling
3568 groat 4 oldpence
3569 tanner 6 oldpence
3570 brpenny 0.01 britainpound
3571 pence brpenny
3572 tuppence 2 pence
3573 tuppenny tuppence
3574 ha'penny halfbrpenny
3575 hapenny ha'penny
3576 oldpenny oldpence
3577 oldtuppence 2 oldpence
3578 oldtuppenny oldtuppence
3579 threepence 3 oldpence # threepence never refers to new money
3580 threepenny threepence
3581 oldthreepence threepence
3582 oldthreepenny threepence
3583 oldhalfpenny halfoldpenny
3584 oldha'penny oldhalfpenny
3585 oldhapenny oldha'penny
3586 brpony 25 britainpound
3587
3588 # Canadian currency
3589
3590 loony 1 canadadollar # This coin depicts a loon
3591 toony 2 canadadollar
3592
3593 #
3594 # Units used for measuring volume of wood
3595 #
3596
3597 cord 4*4*8 ft^3 # 4 ft by 4 ft by 8 ft bundle of wood
3598 facecord 1|2 cord
3599 cordfoot 1|8 cord # One foot long section of a cord
3600 cordfeet cordfoot
3601 housecord 1|3 cord # Used to sell firewood for residences,
3602 # often confusingly called a "cord"
3603 boardfoot ft^2 inch # Usually 1 inch thick wood
3604 boardfeet boardfoot
3605 fbm boardfoot # feet board measure
3606 stack 4 yard^3 # British, used for firewood and coal [18]
3607 rick 4 ft 8 ft 16 inches # Stack of firewood, supposedly
3608 # sometimes called a face cord, but this
3609 # value is equal to 1|3 cord. Name
3610 # comes from an old Norse word for a
3611 # stack of wood.
3612 stere m^3
3613 timberfoot ft^3 # Used for measuring solid blocks of wood
3614 standard 120 12 ft 11 in 1.5 in # This is the St Petersburg or
3615 # Pittsburg standard. Apparently the
3616 # term is short for "standard hundred"
3617 # which was meant to refer to 100 pieces
3618 # of wood (deals). However, this
3619 # particular standard is equal to 120
3620 # deals which are 12 ft by 11 in by 1.5
3621 # inches (not the standard deal).
3622
3623 # In Britain, the deal is apparently any piece of wood over 6 feet long, over
3624 # 7 wide and 2.5 inches thick. The OED doesn't give a standard size. A piece
3625 # of wood less than 7 inches wide is called a "batten". This unit is now used
3626 # exclusively for fir and pine.
3627
3628 deal 12 ft 11 in 2.5 in # The standard North American deal [OED]
3629 wholedeal 12 ft 11 in 1.25 in # If it's half as thick as the standard
3630 # deal it's called a "whole deal"!
3631 splitdeal 12 ft 11 in 5|8 in # And half again as thick is a split deal.
3632
3633
3634 #
3635 # Gas and Liquid flow units
3636 #
3637
3638 FLUID_FLOW VOLUME / TIME
3639
3640 # Some obvious volumetric gas flow units (cu is short for cubic)
3641
3642 cumec m^3/s
3643 cusec ft^3/s
3644
3645 # Conventional abbreviations for fluid flow units
3646
3647 gph gal/hr
3648 gpm gal/min
3649 mgd megagal/day
3650 cfs ft^3/s
3651 cfh ft^3/hour
3652 cfm ft^3/min
3653 lpm liter/min
3654 lfm ft/min # Used to report air flow produced by fans.
3655 # Multiply by cross sectional area to get a
3656 # flow in cfm.
3657
3658 pru mmHg / (ml/min) # peripheral resistance unit, used in
3659 # medicine to assess blood flow in
3660 # the capillaries.
3661
3662 # Miner's inch: This is an old historic unit used in the Western United
3663 # States. It is generally defined as the rate of flow through a one square
3664 # inch hole at a specified depth such as 4 inches. In the late 19th century,
3665 # volume of water was sometimes measured in the "24 hour inch". Values for the
3666 # miner's inch were fixed by state statues. (This information is from a web
3667 # site operated by the Nevada Division of Water Planning: The Water Words
3668 # Dictionary at http://www.state.nv.us/cnr/ndwp/dict-1/waterwds.htm.)
3669
3670 minersinchAZ 1.5 ft^3/min
3671 minersinchCA 1.5 ft^3/min
3672 minersinchMT 1.5 ft^3/min
3673 minersinchNV 1.5 ft^3/min
3674 minersinchOR 1.5 ft^3/min
3675 minersinchID 1.2 ft^3/min
3676 minersinchKS 1.2 ft^3/min
3677 minersinchNE 1.2 ft^3/min
3678 minersinchNM 1.2 ft^3/min
3679 minersinchND 1.2 ft^3/min
3680 minersinchSD 1.2 ft^3/min
3681 minersinchUT 1.2 ft^3/min
3682 minersinchCO 1 ft^3/sec / 38.4 # 38.4 miner's inches = 1 ft^3/sec
3683 minersinchBC 1.68 ft^3/min # British Columbia
3684
3685 # Oceanographic flow
3686
3687 sverdrup 1e6 m^3 / sec # Used to express flow of ocean
3688 # currents. Named after Norwegian
3689 # oceanographer H. Sverdrup.
3690
3691 # In vacuum science and some other applications, gas flow is measured
3692 # as the product of volumetric flow and pressure. This is useful
3693 # because it makes it easy to compare with the flow at standard
3694 # pressure (one atmosphere). It also directly relates to the number
3695 # of gas molecules per unit time, and hence to the mass flow if the
3696 # molecular mass is known.
3697
3698 GAS_FLOW PRESSURE FLUID_FLOW
3699
3700 sccm atm cc/min # 's' is for "standard" to indicate
3701 sccs atm cc/sec # flow at standard pressure
3702 scfh atm ft^3/hour #
3703 scfm atm ft^3/min
3704 slpm atm liter/min
3705 slph atm liter/hour
3706 lusec liter micron Hg / s # Used in vacuum science
3707
3708 #
3709 # Wire Gauge
3710 #
3711 # This area is a nightmare with huge charts of wire gauge diameters
3712 # that usually have no clear origin. There are at least 5 competing wire gauge
3713 # systems to add to the confusion. The use of wire gauge is related to the
3714 # manufacturing method: a metal rod is heated and drawn through a hole. The
3715 # size change can't be too big. To get smaller wires, the process is repeated
3716 # with a series of smaller holes. Generally larger gauges mean smaller wires.
3717 # The gauges often have values such as "00" and "000" which are larger sizes
3718 # than simply "0" gauge. In the tables that appear below, these gauges must be
3719 # specified as negative numbers (e.g. "00" is -1, "000" is -2, etc).
3720 # Alternatively, you can use the following units:
3721 #
3722
3723 g00 (-1)
3724 g000 (-2)
3725 g0000 (-3)
3726 g00000 (-4)
3727 g000000 (-5)
3728 g0000000 (-6)
3729
3730 # American Wire Gauge (AWG) or Brown & Sharpe Gauge appears to be the most
3731 # important gauge. ASTM B-258 specifies that this gauge is based on geometric
3732 # interpolation between gauge 0000, which is 0.46 inches exactly, and gauge 36
3733 # which is 0.005 inches exactly. Therefore, the diameter in inches of a wire
3734 # is given by the formula 1|200 92^((36-g)/39). Note that 92^(1/39) is close
3735 # to 2^(1/6), so diameter is approximately halved for every 6 gauges. For the
3736 # repeated zero values, use negative numbers in the formula. The same document
3737 # also specifies rounding rules which seem to be ignored by makers of tables.
3738 # Gauges up to 44 are to be specified with up to 4 significant figures, but no
3739 # closer than 0.0001 inch. Gauges from 44 to 56 are to be rounded to the
3740 # nearest 0.00001 inch.
3741 #
3742 # In addition to being used to measure wire thickness, this gauge is used to
3743 # measure the thickness of sheets of aluminum, copper, and most metals other
3744 # than steel, iron and zinc.
3745
3746 wiregauge(g) [;m] 1|200 92^((36+(-g))/39) in;36+(-39)ln(200 wiregauge/in)/ln(92)
3747
3748 # Next we have the SWG, the Imperial or British Standard Wire Gauge. This one
3749 # is piecewise linear. It was used for aluminum sheets.
3750
3751 brwiregauge[in] \
3752 -6 0.5 \
3753 -5 0.464 \
3754 -3 0.4 \
3755 -2 0.372 \
3756 3 0.252 \
3757 6 0.192 \
3758 10 0.128 \
3759 14 0.08 \
3760 19 0.04 \
3761 23 0.024 \
3762 26 0.018 \
3763 28 0.0148 \
3764 30 0.0124 \
3765 39 0.0052 \
3766 49 0.0012 \
3767 50 0.001
3768
3769 # The following is from the Appendix to ASTM B 258
3770 #
3771 # For example, in U.S. gage, the standard for sheet metal is based on the
3772 # weight of the metal, not on the thickness. 16-gage is listed as
3773 # approximately .0625 inch thick and 40 ounces per square foot (the original
3774 # standard was based on wrought iron at .2778 pounds per cubic inch; steel
3775 # has almost entirely superseded wrought iron for sheet use, at .2833 pounds
3776 # per cubic inch). Smaller numbers refer to greater thickness. There is no
3777 # formula for converting gage to thickness or weight.
3778 #
3779 # It's rather unclear from the passage above whether the plate gauge values are
3780 # therefore wrong if steel is being used. Reference [15] states that steel is
3781 # in fact measured using this gauge (under the name Manufacturers' Standard
3782 # Gauge) with a density of 501.84 lb/ft3 = 0.2904 lb/in3 used for steel.
3783 # But this doesn't seem to be the correct density of steel (.2833 lb/in3 is
3784 # closer).
3785 #
3786 # This gauge was established in 1893 for purposes of taxation.
3787
3788 # Old plate gauge for iron
3789
3790 plategauge[(oz/ft^2)/(480*lb/ft^3)] \
3791 -5 300 \
3792 1 180 \
3793 14 50 \
3794 16 40 \
3795 17 36 \
3796 20 24 \
3797 26 12 \
3798 31 7 \
3799 36 4.5 \
3800 38 4
3801
3802 # Manufacturers Standard Gage
3803
3804 stdgauge[(oz/ft^2)/(501.84*lb/ft^3)] \
3805 -5 300 \
3806 1 180 \
3807 14 50 \
3808 16 40 \
3809 17 36 \
3810 20 24 \
3811 26 12 \
3812 31 7 \
3813 36 4.5 \
3814 38 4
3815
3816 # A special gauge is used for zinc sheet metal. Notice that larger gauges
3817 # indicate thicker sheets.
3818
3819 zincgauge[in] \
3820 1 0.002 \
3821 10 0.02 \
3822 15 0.04 \
3823 19 0.06 \
3824 23 0.1 \
3825 24 0.125 \
3826 27 0.5 \
3827 28 1
3828
3829 #
3830 # Screw sizes
3831 #
3832 # In the USA, screw diameters are reported using a gauge number.
3833 # Metric screws are reported as Mxx where xx is the diameter in mm.
3834 #
3835
3836 screwgauge(g) [;m] (.06 + .013 g) in ; (screwgauge/in + (-.06)) / .013
3837
3838 #
3839 # Abrasive grit size
3840 #
3841 # Standards governing abrasive grit sizes are complicated, specifying
3842 # fractions of particles that are passed or retained by different mesh
3843 # sizes. As a result, it is not possible to make precise comparisons
3844 # of different grit standards. The tables below allow the
3845 # determination of rough equivlants by using median particle size.
3846 #
3847 # Standards in the USA are determined by the Unified Abrasives
3848 # Manufacturers' Association (UAMA), which resulted from the merger of
3849 # several previous organizations. One of the old organizations was
3850 # CAMI (Coated Abrasives Manufacturers' Institute).
3851 #
3852 # UAMA has a web page with plots showing abrasve particle ranges for
3853 # various different grits and comparisons between standards.
3854 #
3855 # http://www.uama.org/Abrasives101/101Standards.html
3856 #
3857 # Abrasives are grouped into "bonded" abrasives for use with grinding
3858 # wheels and "coated" abrasives for sandpapers and abrasive films.
3859 # The industry uses different grit standards for these two
3860 # categories.
3861 #
3862 # Another division is between "macrogrits", grits below 240 and
3863 # "microgrits", which are above 240. Standards differ, as do methods
3864 # for determining particle size. In the USA, ANSI B74.12 is the
3865 # standard governing macrogrits. ANSI B74.10 covers bonded microgrit
3866 # abrasives, and ANSI B74.18 covers coated microgrit abrasives. It
3867 # appears that the coated standard is identical to the bonded standard
3868 # for grits up through 600 but then diverges significantly.
3869 #
3870 # European grit sizes are determined by the Federation of European
3871 # Producers of Abrasives. http://www.fepa-abrasives.org
3872 #
3873 # They give two standards, the "F" grit for bonded abrasives and the
3874 # "P" grit for coated abrasives. This data is taken directly from
3875 # their web page.
3876
3877 # FEPA P grit for coated abrasives is commonly seen on sandpaper in
3878 # the USA where the paper will be marked P600, for example. FEPA P
3879 # grits are said to be more tightly constrained than comparable ANSI
3880 # grits so that the particles are more uniform in size and hence give
3881 # a better finish.
3882
3883 grit_P[micron] \
3884 12 1815 \
3885 16 1324 \
3886 20 1000 \
3887 24 764 \
3888 30 642 \
3889 36 538 \
3890 40 425 \
3891 50 336 \
3892 60 269 \
3893 80 201 \
3894 100 162 \
3895 120 125 \
3896 150 100 \
3897 180 82 \
3898 220 68 \
3899 240 58.5 \
3900 280 52.2 \
3901 320 46.2 \
3902 360 40.5 \
3903 400 35 \
3904 500 30.2 \
3905 600 25.8 \
3906 800 21.8 \
3907 1000 18.3 \
3908 1200 15.3 \
3909 1500 12.6 \
3910 2000 10.3 \
3911 2500 8.4
3912
3913 grit_F[micron] \
3914 4 4890 \
3915 5 4125 \
3916 6 3460 \
3917 7 2900 \
3918 8 2460 \
3919 10 2085 \
3920 12 1765 \
3921 14 1470 \
3922 16 1230 \
3923 20 1040 \
3924 22 885 \
3925 24 745 \
3926 30 625 \
3927 36 525 \
3928 40 438 \
3929 46 370 \
3930 54 310 \
3931 60 260 \
3932 70 218 \
3933 80 185 \
3934 90 154 \
3935 100 129 \
3936 120 109 \
3937 150 82 \
3938 180 69 \
3939 220 58 \
3940 230 53 \
3941 240 44.5 \
3942 280 36.5 \
3943 320 29.2 \
3944 360 22.8 \
3945 400 17.3 \
3946 500 12.8 \
3947 600 9.3 \
3948 800 6.5 \
3949 1000 4.5 \
3950 1200 3 \
3951 1500 2.0 \
3952 2000 1.2
3953
3954 # According to the UAMA web page, the ANSI bonded and ANSI coated standards
3955 # are identical to FEPA F in the macrogrit range (under 240 grit), so these
3956 # values are taken from the FEPA F table. The values for 240 and above are
3957 # from the UAMA web site and represent the average of the "d50" range
3958 # endpoints listed there.
3959
3960 grit_ansibonded[micron] \
3961 4 4890 \
3962 5 4125 \
3963 6 3460 \
3964 7 2900 \
3965 8 2460 \
3966 10 2085 \
3967 12 1765 \
3968 14 1470 \
3969 16 1230 \
3970 20 1040 \
3971 22 885 \
3972 24 745 \
3973 30 625 \
3974 36 525 \
3975 40 438 \
3976 46 370 \
3977 54 310 \
3978 60 260 \
3979 70 218 \
3980 80 185 \
3981 90 154 \
3982 100 129 \
3983 120 109 \
3984 150 82 \
3985 180 69 \
3986 220 58 \
3987 240 50 \
3988 280 39.5 \
3989 320 29.5 \
3990 360 23 \
3991 400 18.25 \
3992 500 13.9 \
3993 600 10.55 \
3994 800 7.65 \
3995 1000 5.8 \
3996 1200 3.8
3997
3998 # Like the bonded grit, the coated macrogrits below 240 are taken from the
3999 # FEPA F table. Data above this is from the UAMA site. Note that the coated
4000 # and bonded standards are evidently the same from 240 up to 600 grit, but
4001 # starting at 800 grit, the coated standard diverges. The data from UAMA show
4002 # that 800 grit coated has an average size slightly larger than the average
4003 # size of 600 grit coated/bonded. However, the 800 grit has a significantly
4004 # smaller particle size variation.
4005
4006 ansicoated[micron] \
4007 4 4890 \
4008 5 4125 \
4009 6 3460 \
4010 7 2900 \
4011 8 2460 \
4012 10 2085 \
4013 12 1765 \
4014 14 1470 \
4015 16 1230 \
4016 20 1040 \
4017 22 885 \
4018 24 745 \
4019 30 625 \
4020 36 525 \
4021 40 438 \
4022 46 370 \
4023 54 310 \
4024 60 260 \
4025 70 218 \
4026 80 185 \
4027 90 154 \
4028 100 129 \
4029 120 109 \
4030 150 82 \
4031 180 69 \
4032 220 58 \
4033 240 50 \
4034 280 39.5 \
4035 320 29.5 \
4036 360 23 \
4037 400 18.25 \
4038 500 13.9 \
4039 600 10.55 \
4040 800 11.5 \
4041 1000 9.5 \
4042 2000 7.2 \
4043 2500 5.5 \
4044 3000 4 \
4045 4000 3 \
4046 6000 2 \
4047 8000 1.2
4048
4049 #
4050 # Is this correct? This is the JIS Japanese standard used on waterstones
4051 #
4052 jisgrit[micron] \
4053 150 75 \
4054 180 63 \
4055 220 53 \
4056 280 48 \
4057 320 40 \
4058 360 35 \
4059 400 30 \
4060 600 20 \
4061 700 17 \
4062 800 14 \
4063 1000 11.5 \
4064 1200 9.5 \
4065 1500 8 \
4066 2000 6.7 \
4067 2500 5.5 \
4068 3000 4 \
4069 4000 3 \
4070 6000 2 \
4071 8000 1.2
4072
4073 # The "Finishing Scale" marked with an A (e.g. A75). This information
4074 # is from the web page of the sand paper manufacturer Klingspor
4075 # http://www.klingspor.com/gritgradingsystems.htm
4076 #
4077 # I have no information about what this scale is used for.
4078
4079 grit_A[micron]\
4080 16 15.3 \
4081 25 21.8 \
4082 30 23.6 \
4083 35 25.75 \
4084 45 35 \
4085 60 46.2 \
4086 65 53.5 \
4087 75 58.5 \
4088 90 65 \
4089 110 78 \
4090 130 93 \
4091 160 127 \
4092 200 156
4093 #
4094 # Grits for DMT brand diamond sharpening stones from
4095 # http://dmtsharp.com/products/colorcode.htm
4096 #
4097
4098 dmtxxcoarse 120 micron # 120 mesh
4099 dmtsilver dmtxxcoarse
4100 dmtxx dmtxxcoarse
4101 dmtxcoarse 60 micron # 220 mesh
4102 dmtx dmtxcoarse
4103 dmtblack dmtxcoarse
4104 dmtcoarse 45 micron # 325 mesh
4105 dmtc dmtcoarse
4106 dmtblue dmtcoarse
4107 dmtfine 25 micron # 600 mesh
4108 dmtred dmtfine
4109 dmtf dmtfine
4110 dmtefine 9 micron # 1200 mesh
4111 dmte dmtefine
4112 dmtgreen dmtefine
4113 dmtceramic 7 micron # 2200 mesh
4114 dmtcer dmtceramic
4115 dmtwhite dmtceramic
4116 dmteefine 3 micron # 8000 mesh
4117 dmttan dmteefine
4118 dmtee dmteefine
4119
4120 #
4121 # The following values come from a page in the Norton Stones catalog,
4122 # available at their web page, http://www.nortonstones.com.
4123 #
4124
4125 hardtranslucentarkansas 6 micron # Natural novaculite (silicon quartz)
4126 softarkansas 22 micron # stones
4127
4128 extrafineindia 22 micron # India stones are Norton's manufactured
4129 fineindia 35 micron # aluminum oxide product
4130 mediumindia 53.5 micron
4131 coarseindia 97 micron
4132
4133 finecrystolon 45 micron # Crystolon stones are Norton's
4134 mediumcrystalon 78 micron # manufactured silicon carbide product
4135 coarsecrystalon 127 micron
4136
4137 # The following are not from the Norton catalog
4138 hardblackarkansas 6 micron
4139 hardwhitearkansas 11 micron
4140 washita 35 micron
4141
4142 #
4143 # Ring size. All ring sizes are given as the circumference of the ring.
4144 #
4145
4146 # USA ring sizes. Several slightly different definitions seem to be in
4147 # circulation. According to [15], the interior diameter of size n ring in
4148 # inches is 0.32 n + 0.458 for n ranging from 3 to 13.5 by steps of 0.5. The
4149 # size 2 ring is inconsistently 0.538in and no 2.5 size is listed.
4150 #
4151 # However, other sources list 0.455 + 0.0326 n and 0.4525 + 0.0324 n as the
4152 # diameter and list no special case for size 2. (Or alternatively they are
4153 # 1.43 + .102 n and 1.4216+.1018 n for measuring circumference in inches.) One
4154 # reference claimed that the original system was that each size was 1|10 inch
4155 # circumference, but that source doesn't have an explanation for the modern
4156 # system which is somewhat different.
4157
4158 ringsize(n) [;in] (1.4216+.1018 n) in ; (ringsize/in + (-1.4216))/.1018
4159
4160 # Old practice in the UK measured rings using the "Wheatsheaf gauge" with sizes
4161 # specified alphabetically and based on the ring inside diameter in steps of
4162 # 1|64 inch. This system was replaced in 1987 by British Standard 6820 which
4163 # specifies sizes based on circumference. Each size is 1.25 mm different from
4164 # the preceding size. The baseline is size C which is 40 mm circumference.
4165 # The new sizes are close to the old ones. Sometimes it's necessary to go
4166 # beyond size Z to Z+1, Z+2, etc.
4167
4168 sizeAring 37.50 mm
4169 sizeBring 38.75 mm
4170 sizeCring 40.00 mm
4171 sizeDring 41.25 mm
4172 sizeEring 42.50 mm
4173 sizeFring 43.75 mm
4174 sizeGring 45.00 mm
4175 sizeHring 46.25 mm
4176 sizeIring 47.50 mm
4177 sizeJring 48.75 mm
4178 sizeKring 50.00 mm
4179 sizeLring 51.25 mm
4180 sizeMring 52.50 mm
4181 sizeNring 53.75 mm
4182 sizeOring 55.00 mm
4183 sizePring 56.25 mm
4184 sizeQring 57.50 mm
4185 sizeRring 58.75 mm
4186 sizeSring 60.00 mm
4187 sizeTring 61.25 mm
4188 sizeUring 62.50 mm
4189 sizeVring 63.75 mm
4190 sizeWring 65.00 mm
4191 sizeXring 66.25 mm
4192 sizeYring 67.50 mm
4193 sizeZring 68.75 mm
4194
4195 # Japanese sizes start with size 1 at a 13mm inside diameter and each size is
4196 # 1|3 mm larger in diameter than the previous one. They are multiplied by pi
4197 # to give circumference.
4198
4199 jpringsize(n) [;mm] (38|3 + n/3) pi mm ; 3 jpringsize/ pi mm + (-38)
4200
4201 # The European ring sizes are the length of the circumference in mm minus 40.
4202
4203 euringsize(n) [;mm] (n+40) mm ; euringsize/mm + (-40)
4204
4205 #
4206 # Abbreviations
4207 #
4208
4209 mph mile/hr
4210 mpg mile/gal
4211 kph km/hr
4212 fL footlambert
4213 fpm ft/min
4214 fps ft/s
4215 rpm rev/min
4216 rps rev/sec
4217 mi mile
4218 smi mile
4219 nmi nauticalmile
4220 mbh 1e3 btu/hour
4221 mcm 1e3 circularmil
4222 ipy inch/year # used for corrosion rates
4223 ccf 100 ft^3 # used for selling water [18]
4224 Mcf 1000 ft^3 # not million cubic feet [18]
4225 kp kilopond
4226 kpm kp meter
4227 Wh W hour
4228 hph hp hour
4229 plf lb / foot # pounds per linear foot
4230
4231 #
4232 # Compatibility units with unix version
4233 #
4234
4235 pa Pa
4236 ev eV
4237 hg Hg
4238 oe Oe
4239 mh mH
4240 rd rod
4241 pf pF
4242 gr grain
4243 nt N
4244 hz Hz
4245 hd hogshead
4246 dry drygallon/gallon
4247 imperial brgallon/gallon # This is a dubious definition
4248 # since it fails for fluid ounces
4249 # and all units derived from fluid
4250 # ounces.
4251 nmile nauticalmile
4252 beV GeV
4253 bev beV
4254 coul C
4255
4256 #
4257 # Radioactivity units
4258 #
4259
4260 becquerel /s # Activity of radioactive source
4261 Bq becquerel #
4262 curie 3.7e10 Bq # Defined in 1910 as the radioactivity
4263 Ci curie # emitted by the amount of radon that is
4264 # in equilibrium with 1 gram of radium.
4265 rutherford 1e6 Bq #
4266
4267 RADIATION_DOSE gray
4268 gray J/kg # Absorbed dose of radiation
4269 Gy gray #
4270 rad 1e-2 Gy # From Radiation Absorbed Dose
4271 rep 8.38 mGy # Roentgen Equivalent Physical, the amount
4272 # of radiation which , absorbed in the
4273 # body, would liberate the same amount
4274 # of energy as 1 roentgen of X rays
4275 # would, or 97 ergs.
4276
4277 sievert J/kg # Dose equivalent: dosage that has the
4278 Sv sievert # same effect on human tissues as 200
4279 rem 1e-2 Sv # keV X-rays. Different types of
4280 # radiation are weighted by the
4281 # Relative Biological Effectiveness
4282 # (RBE).
4283 #
4284 # Radiation type RBE
4285 # X-ray, gamma ray 1
4286 # beta rays, > 1 MeV 1
4287 # beta rays, < 1 MeV 1.08
4288 # neutrons, < 1 MeV 4-5
4289 # neutrons, 1-10 MeV 10
4290 # protons, 1 MeV 8.5
4291 # protons, .1 MeV 10
4292 # alpha, 5 MeV 15
4293 # alpha, 1 MeV 20
4294 #
4295 # The energies are the kinetic energy
4296 # of the particles. Slower particles
4297 # interact more, so they are more
4298 # effective ionizers, and hence have
4299 # higher RBE values.
4300 #
4301 # rem stands for Roentgen Equivalent
4302 # Mammal
4303
4304 roentgen 2.58e-4 C / kg # Ionizing radiation that produces
4305 # 1 statcoulomb of charge in 1 cc of
4306 # dry air at stp.
4307 rontgen roentgen # Sometimes it appears spelled this way
4308 sievertunit 8.38 rontgen # Unit of gamma ray dose delivered in one
4309 # hour at a distance of 1 cm from a
4310 # point source of 1 mg of radium
4311 # enclosed in platinum .5 mm thick.
4312
4313 eman 1e-7 Ci/m^3 # radioactive concentration
4314 mache 3.7e-7 Ci/m^3
4315
4316 #
4317 # Atomic weights. The atomic weight of an element is the ratio of the mass of
4318 # a mole of the element to 1|12 of a mole of Carbon 12. The Standard Atomic
4319 # Weights apply to the elements as they occur naturally on earth. Elements
4320 # which do not occur naturally or which occur with wide isotopic variability do
4321 # not have Standard Atomic Weights. For these elements, the atomic weight is
4322 # based on the longest lived isotope, as marked in the comments. In some
4323 # cases, the comment for these entries also gives a number which is an atomic
4324 # weight for a different isotope that may be of more interest than the longest
4325 # lived isotope.
4326 #
4327
4328 actinium 227.0278
4329 aluminum 26.981539
4330 americium 243.0614 # Longest lived. 241.06
4331 antimony 121.760
4332 argon 39.948
4333 arsenic 74.92159
4334 astatine 209.9871 # Longest lived
4335 barium 137.327
4336 berkelium 247.0703 # Longest lived. 249.08
4337 beryllium 9.012182
4338 bismuth 208.98037
4339 boron 10.811
4340 bromine 79.904
4341 cadmium 112.411
4342 calcium 40.078
4343 californium 251.0796 # Longest lived. 252.08
4344 carbon 12.011
4345 cerium 140.115
4346 cesium 132.90543
4347 chlorine 35.4527
4348 chromium 51.9961
4349 cobalt 58.93320
4350 copper 63.546
4351 curium 247.0703
4352 dysprosium 162.50
4353 einsteinium 252.083 # Longest lived
4354 erbium 167.26
4355 europium 151.965
4356 fermium 257.0951 # Longest lived
4357 fluorine 18.9984032
4358 francium 223.0197 # Longest lived
4359 gadolinium 157.25
4360 gallium 69.723
4361 germanium 72.61
4362 gold 196.96654
4363 hafnium 178.49
4364 helium 4.002602
4365 holmium 164.93032
4366 hydrogen 1.00794
4367 indium 114.818
4368 iodine 126.90447
4369 iridium 192.217
4370 iron 55.845
4371 krypton 83.80
4372 lanthanum 138.9055
4373 lawrencium 262.11 # Longest lived
4374 lead 207.2
4375 lithium 6.941
4376 lutetium 174.967
4377 magnesium 24.3050
4378 manganese 54.93805
4379 mendelevium 258.10 # Longest lived
4380 mercury 200.59
4381 molybdenum 95.94
4382 neodymium 144.24
4383 neon 20.1797
4384 neptunium 237.0482
4385 nickel 58.6934
4386 niobium 92.90638
4387 nitrogen 14.00674
4388 nobelium 259.1009 # Longest lived
4389 osmium 190.23
4390 oxygen 15.9994
4391 palladium 106.42
4392 phosphorus 30.973762
4393 platinum 195.08
4394 plutonium 244.0642 # Longest lived. 239.05
4395 polonium 208.9824 # Longest lived. 209.98
4396 potassium 39.0983
4397 praseodymium 140.90765
4398 promethium 144.9127 # Longest lived. 146.92
4399 protactinium 231.03588
4400 radium 226.0254
4401 radon 222.0176 # Longest lived
4402 rhenium 186.207
4403 rhodium 102.90550
4404 rubidium 85.4678
4405 ruthenium 101.07
4406 samarium 150.36
4407 scandium 44.955910
4408 selenium 78.96
4409 silicon 28.0855
4410 silver 107.8682
4411 sodium 22.989768
4412 strontium 87.62
4413 sulfur 32.066
4414 tantalum 180.9479
4415 technetium 97.9072 # Longest lived. 98.906
4416 tellurium 127.60
4417 terbium 158.92534
4418 thallium 204.3833
4419 thorium 232.0381
4420 thullium 168.93421
4421 tin 118.710
4422 titanium 47.867
4423 tungsten 183.84
4424 uranium 238.0289
4425 vanadium 50.9415
4426 xenon 131.29
4427 ytterbium 173.04
4428 yttrium 88.90585
4429 zinc 65.39
4430 zirconium 91.224
4431
4432 #
4433 # population units
4434 #
4435
4436 people 1
4437 person people
4438 death people
4439 capita people
4440 percapita per capita
4441
4442
4443 #
4444 # Traditional Japanese units (shakkanhou)
4445 #
4446 # The traditional system of weights and measures is called shakkanhou from the
4447 # shaku and the ken. Japan accepted SI units in 1891 and legalized conversions
4448 # to the traditional system. In 1909 the inch-pound system was also legalized,
4449 # so Japan had three legally approved systems. A change to the metric system
4450 # started in 1921 but there was a lot of resistance. The Measurement Law of
4451 # October 1999 prohibits sales in anything but SI units. However, the old
4452 # units still live on in construction and as the basis for paper sizes of books
4453 # and tools used for handicrafts.
4454 #
4455 # Note that units below use the Hepburn romanization system. Some other
4456 # systems would render "mou", "jou", and "chou" as "mo", "jo" and "cho".
4457 #
4458 #
4459 # http://hiramatu-hifuka.com/onyak/onyindx.html
4460
4461 # Japanese Proportions. These are still in everyday use. They also
4462 # get used as units to represent the proportion of the standard unit.
4463
4464 wari_proportion 1|10
4465 wari wari_proportion
4466 bu_proportion 1|100 # The character bu can also be read fun or bun
4467 # but usually "bu" is used for units.
4468 rin_proportion 1|1000
4469 mou_proportion 1|10000
4470
4471
4472 # Japanese Length Measures
4473 #
4474 # The length system is called kanejaku or
4475 # square and originated in China. It was
4476 # adopted as Japan's official measure in 701
4477 # by the Taiho Code. This system is still in
4478 # common use in architecture and clothing.
4479
4480 shaku 1|3.3 m
4481 mou 1|10000 shaku
4482 rin 1|1000 shaku
4483 bu_distance 1|100 shaku
4484 sun 1|10 shaku
4485 jou_distance 10 shaku
4486 jou jou_distance
4487
4488 kanejakusun sun # Alias to emphasize architectural name
4489 kanejaku shaku
4490 kanejakujou jou
4491
4492 # In context of clothing, shaku is different from architecture
4493 # http://www.scinet.co.jp/sci/sanwa/kakizaki-essay54.html
4494
4495 kujirajaku 10|8 shaku
4496 kujirajakusun 1|10 kujirajaku
4497 kujirajakubu 1|100 kujirajaku
4498 kujirajakujou 10 kujirajaku
4499 tan_distance 3 kujirajakujou
4500
4501 ken 6 shaku # Also sometimes 6.3, 6.5, or 6.6
4502 # http://www.homarewood.co.jp/syakusun.htm
4503
4504 # mostly unused
4505 chou_distance 60 ken
4506 chou chou_distance
4507 ri 36 chou
4508
4509 # Japanese Area Measures
4510
4511 # Tsubo is still used for land size, though the others are more
4512 # recognized by their homonyms in the other measurements.
4513
4514 gou_area 1|10 tsubo
4515 tsubo 36 shaku^2 # Size of two tatami = ken^2 ??
4516 se 30 tsubo
4517 tan_area 10 se
4518 chou_area 10 tan_area
4519
4520 # Japanese architecture is based on a "standard" size of tatami mat.
4521 # Room sizes today are given in number of tatami, and this number
4522 # determines the spacing between colums and hence sizes of sliding
4523 # doors and paper screens. However, every region has its own slightly
4524 # different tatami size. Edoma, used in and around Tokyo and
4525 # Hokkaido, is becoming a nationwide standard. Kyouma is used around
4526 # Kyoto, Osaka and Kyuushu, and Chuukyouma is used around Nagoya.
4527 # Note that the tatami all have the aspect ratio 2:1 so that the mats
4528 # can tile the room with some of them turned 90 degrees.
4529 #
4530 # http://www.moon2.net/tatami/infotatami/structure.html
4531
4532 edoma (5.8*2.9) shaku^2
4533 kyouma (6.3*3.15) shaku^2
4534 chuukyouma (6*3) shaku^2
4535 jou_area edoma
4536 tatami jou_area
4537
4538 # Japanese Volume Measures
4539
4540 # The "shou" is still used for such things as alcohol and seasonings.
4541 # Large quantities of paint are still purchased in terms of "to".
4542
4543 shaku_volume 1|10 gou_volume
4544 gou_volume 1|10 shou
4545 gou gou_volume
4546 shou (4.9*4.9*2.7) sun^3 # The character shou which is
4547 # the same as masu refers to a
4548 # rectangular wooden cup used to
4549 # measure liquids and cereal.
4550 # Sake is sometimes served in a masu
4551 # Note that it happens to be
4552 # EXACTLY 7^4/11^3 liters.
4553 to 10 shou
4554 koku 10 to # No longer used; historically a measure of rice
4555
4556 # Japanese Weight Measures
4557 #
4558 # http://wyoming.hp.infoseek.co.jp/zatugaku/zamoney.html
4559
4560 # Not really used anymore.
4561
4562 rin_weight 1|10 bu
4563 bu_weight 1|10 monme
4564 fun 1|10 monme
4565 monme 15|4 g
4566 kin 160 monme
4567 kan 1000 monme
4568 kwan kan # This was the old pronounciation of the unit.
4569 # The old spelling persisted a few centuries
4570 # longer and was not changed until around
4571 # 1950.
4572
4573 #
4574 # Australian unit
4575 #
4576
4577 australiasquare (10 ft)^2 # Used for house area
4578
4579
4580 #
4581 # A few German units as currently in use.
4582 #
4583
4584 zentner 50 kg
4585 doppelzentner 2 zentner
4586 pfund 500 g
4587
4588 #
4589 # Old French distance measures, from French Weights and Measures
4590 # Before the Revolution by Zupko
4591 #
4592
4593 frenchfoot 144|443.296 m # pied de roi, the standard of Paris.
4594 pied frenchfoot # Half of the hashimicubit,
4595 frenchfeet frenchfoot # instituted by Charlemagne.
4596 frenchinch 1|12 frenchfoot # This exact definition comes from
4597 frenchthumb frenchinch # a law passed on 10 Dec 1799 which
4598 pouce frenchthumb # fixed the meter at
4599 # 3 frenchfeet + 11.296 lignes.
4600 frenchline 1|12 frenchinch # This is supposed to be the size
4601 ligne frenchline # of the average barleycorn
4602 frenchpoint 1|12 frenchline
4603 toise 6 frenchfeet
4604 arpent 180^2 pied^2 # The arpent is 100 square perches,
4605 # but the perche seems to vary a lot
4606 # and can be 18 feet, 20 feet, or 22
4607 # feet. This measure was described
4608 # as being in common use in Canada in
4609 # 1934 (Websters 2nd). The value
4610 # given here is the Paris standard
4611 # arpent.
4612 frenchgrain 1|18827.15 kg # Weight of a wheat grain, hence
4613 # smaller than the British grain.
4614 frenchpound 9216 frenchgrain
4615
4616 #
4617 # Before the Imperial Weights and Measures Act of 1824, various different
4618 # weights and measures were in use in different places.
4619 #
4620
4621 # Scots linear measure
4622
4623 scotsinch 1.00540054 UKinch
4624 scotslink 1|100 scotschain
4625 scotsfoot 12 scotsinch
4626 scotsfeet scotsfoot
4627 scotsell 37 scotsinch
4628 scotsfall 6 scotsell
4629 scotschain 4 scotsfall
4630 scotsfurlong 10 scotschain
4631 scotsmile 8 scotsfurlong
4632
4633 # Scots area measure
4634
4635 scotsrood 40 scotsfall^2
4636 scotsacre 4 scotsrood
4637 nook 20 acres # Given in [18] with English acres; apparently
4638 # developed after the switch to Imperial units.
4639 # Irish linear measure
4640
4641 irishinch UKinch
4642 irishpalm 3 irishinch
4643 irishspan 3 irishpalm
4644 irishfoot 12 irishinch
4645 irishfeet irishfoot
4646 irishcubit 18 irishinch
4647 irishyard 3 irishfeet
4648 irishpace 5 irishfeet
4649 irishfathom 6 irishfeet
4650 irishpole 7 irishyard # Only these values
4651 irishperch irishpole # are different from
4652 irishchain 4 irishperch # the British Imperial
4653 irishlink 1|100 irishchain # or English values for
4654 irishfurlong 10 irishchain # these lengths.
4655 irishmile 8 irishfurlong #
4656
4657 # Irish area measure
4658
4659 irishrood 40 irishpole^2
4660 irishacre 4 irishrood
4661
4662 # English wine capacity measures (Winchester measures)
4663
4664 winepint 1|2 winequart
4665 winequart 1|4 winegallon
4666 winegallon 231 UKinch^3 # Sometimes called the Winchester Wine Gallon,
4667 # it was legalized in 1707 by Queen Anne, and
4668 # given the definition of 231 cubic inches. It
4669 # had been in use for a while as 8 pounds of wine
4670 # using a merchant's pound, but the definition of
4671 # the merchant's pound had become uncertain. A
4672 # pound of 15 tower ounces (6750 grains) had been
4673 # common, but then a pound of 15 troy ounces
4674 # (7200 grains) gained popularity. Because of
4675 # the switch in the value of the merchants pound,
4676 # the size of the wine gallon was uncertain in
4677 # the market, hence the official act in 1707.
4678 # The act allowed that a six inch tall cylinder
4679 # with a 7 inch diameter was a lawful wine
4680 # gallon. (This comes out to 230.9 in^3.)
4681 # Note also that in Britain a legal conversion
4682 # was established to the 1824 Imperial gallon
4683 # then taken as 277.274 in^3 so that the wine
4684 # gallon was 0.8331 imperial gallons. This is
4685 # 231.1 cubic inches (using the international
4686 # inch).
4687 winerundlet 18 winegallon
4688 winebarrel 31.5 winegallon
4689 winetierce 42 winegallon
4690 winehogshead 2 winebarrel
4691 winepuncheon 2 winetierce
4692 winebutt 2 winehogshead
4693 winepipe winebutt
4694 winetun 2 winebutt
4695
4696 # English beer and ale measures used 1803-1824 and used for beer before 1688
4697
4698 beerpint 1|2 beerquart
4699 beerquart 1|4 beergallon
4700 beergallon 282 UKinch^3
4701 beerbarrel 36 beergallon
4702 beerhogshead 1.5 beerbarrel
4703
4704 # English ale measures used from 1688-1803 for both ale and beer
4705
4706 alepint 1|2 alequart
4707 alequart 1|4 alegallon
4708 alegallon beergallon
4709 alebarrel 34 alegallon
4710 alehogshead 1.5 alebarrel
4711
4712 # Scots capacity measure
4713
4714 scotsgill 1|4 mutchkin
4715 mutchkin 1|2 choppin
4716 choppin 1|2 scotspint
4717 scotspint 1|2 scotsquart
4718 scotsquart 1|4 scotsgallon
4719 scotsgallon 827.232 UKinch^3
4720 scotsbarrel 8 scotsgallon
4721 jug scotspint
4722
4723 # Scots dry capacity measure
4724
4725 scotswheatlippy 137.333 UKinch^3 # Also used for peas, beans, rye, salt
4726 scotswheatlippies scotswheatlippy
4727 scotswheatpeck 4 scotswheatlippy
4728 scotswheatfirlot 4 scotswheatpeck
4729 scotswheatboll 4 scotswheatfirlot
4730 scotswheatchalder 16 scotswheatboll
4731
4732 scotsoatlippy 200.345 UKinch^3 # Also used for barley and malt
4733 scotsoatlippies scotsoatlippy
4734 scotsoatpeck 4 scotsoatlippy
4735 scotsoatfirlot 4 scotsoatpeck
4736 scotsoatboll 4 scotsoatfirlot
4737 scotsoatchalder 16 scotsoatboll
4738
4739 # Scots Tron weight
4740
4741 trondrop 1|16 tronounce
4742 tronounce 1|20 tronpound
4743 tronpound 9520 grain
4744 tronstone 16 tronpound
4745
4746 # Irish liquid capacity measure
4747
4748 irishnoggin 1|4 irishpint
4749 irishpint 1|2 irishquart
4750 irishquart 1|2 irishpottle
4751 irishpottle 1|2 irishgallon
4752 irishgallon 217.6 UKinch^3
4753 irishrundlet 18 irishgallon
4754 irishbarrel 31.5 irishgallon
4755 irishtierce 42 irishgallon
4756 irishhogshead 2 irishbarrel
4757 irishpuncheon 2 irishtierce
4758 irishpipe 2 irishhogshead
4759 irishtun 2 irishpipe
4760
4761 # Irish dry capacity measure
4762
4763 irishpeck 2 irishgallon
4764 irishbushel 4 irishpeck
4765 irishstrike 2 irishbushel
4766 irishdrybarrel 2 irishstrike
4767 irishquarter 2 irishbarrel
4768
4769 # English Tower weights, abolished in 1528
4770
4771 towerpound 5400 grain
4772 towerounce 1|12 towerpound
4773 towerpennyweight 1|20 towerounce
4774 towergrain 1|32 towerpennyweight
4775
4776 # English Mercantile weights, used since the late 12th century
4777
4778 mercpound 6750 grain
4779 mercounce 1|15 mercpound
4780 mercpennyweight 1|20 mercounce
4781
4782 # English weights for lead
4783
4784 leadstone 12.5 lb
4785 fotmal 70 lb
4786 leadwey 14 leadstone
4787 fothers 12 leadwey
4788
4789 # English Hay measure
4790
4791 newhaytruss 60 lb # New and old here seem to refer to "new"
4792 newhayload 36 newhaytruss # hay and "old" hay rather than a new unit
4793 oldhaytruss 56 lb # and an old unit.
4794 oldhayload 36 oldhaytruss
4795
4796 # English wool measure
4797
4798 woolclove 7 lb
4799 woolstone 2 woolclove
4800 wooltod 2 woolstone
4801 woolwey 13 woolstone
4802 woolsack 2 woolwey
4803 woolsarpler 2 woolsack
4804 woollast 6 woolsarpler
4805
4806 #
4807 # Ancient history units: There tends to be uncertainty in the definitions
4808 # of the units in this section
4809 # These units are from [11]
4810
4811 # Roman measure. The Romans had a well defined distance measure, but their
4812 # measures of weight were poor. They adopted local weights in different
4813 # regions without distinguishing among them so that there are half a dozen
4814 # different Roman "standard" weight systems.
4815
4816 romanfoot 296 mm # There is some uncertainty in this definition
4817 romanfeet romanfoot # from which all the other units are derived.
4818 pes romanfoot # This value appears in numerous sources. In "The
4819 pedes romanfoot # Roman Land Surveyors", Dilke gives 295.7 mm.
4820 romaninch 1|12 romanfoot # The subdivisions of the Roman foot have the
4821 romandigit 1|16 romanfoot # same names as the subdivisions of the pound,
4822 romanpalm 1|4 romanfoot # but we can't have the names for different
4823 romancubit 18 romaninch # units.
4824 romanpace 5 romanfeet # Roman double pace (basic military unit)
4825 passus romanpace
4826 romanperch 10 romanfeet
4827 stade 125 romanpaces
4828 stadia stade
4829 stadium stade
4830 romanmile 8 stadia # 1000 paces
4831 romanleague 1.5 romanmile
4832 schoenus 4 romanmile
4833
4834 # Other values for the Roman foot (from Dilke)
4835
4836 earlyromanfoot 29.73 cm
4837 pesdrusianus 33.3 cm # or 33.35 cm, used in Gaul & Germany in 1st c BC
4838 lateromanfoot 29.42 cm
4839
4840 # Roman areas
4841
4842 actuslength 120 romanfeet # length of a Roman furrow
4843 actus 120*4 romanfeet^2 # area of the furrow
4844 squareactus 120^2 romanfeet^2 # actus quadratus
4845 acnua squareactus
4846 iugerum 2 squareactus
4847 iugera iugerum
4848 jugerum iugerum
4849 jugera iugerum
4850 heredium 2 iugera # heritable plot
4851 heredia heredium
4852 centuria 100 heredia
4853 centurium centuria
4854
4855 # Roman volumes
4856
4857 sextarius 35.4 in^3 # Basic unit of Roman volume. As always,
4858 sextarii sextarius # there is uncertainty. Six large Roman
4859 # measures survive with volumes ranging from
4860 # 34.4 in^3 to 39.55 in^3. Three of them
4861 # cluster around the size given here.
4862 #
4863 # But the values for this unit vary wildly
4864 # in other sources. One reference gives 0.547
4865 # liters, but then says the amphora is a
4866 # cubic Roman foot. This gives a value for the
4867 # sextarius of 0.540 liters. And the
4868 # encyclopedia Brittanica lists 0.53 liters for
4869 # this unit. Both [7] and [11], which were
4870 # written by scholars of weights and measures,
4871 # give the value of 35.4 cubic inches.
4872 cochlearia 1|48 sextarius
4873 cyathi 1|12 sextarius
4874 acetabula 1|8 sextarius
4875 quartaria 1|4 sextarius
4876 quartarius quartaria
4877 heminae 1|2 sextarius
4878 hemina heminae
4879 cheonix 1.5 sextarii
4880
4881 # Dry volume measures (usually)
4882
4883 semodius 8 sextarius
4884 semodii semodius
4885 modius 16 sextarius
4886 modii modius
4887
4888 # Liquid volume measures (usually)
4889
4890 congius 12 heminae
4891 congii congius
4892 amphora 8 congii
4893 amphorae amphora # Also a dry volume measure
4894 culleus 20 amphorae
4895 quadrantal amphora
4896
4897 # Roman weights
4898
4899 libra 5052 grain # The Roman pound varied significantly
4900 librae libra # from 4210 grains to 5232 grains. Most of
4901 romanpound libra # the standards were obtained from the weight
4902 uncia 1|12 libra # of particular coins. The one given here is
4903 unciae uncia # based on the Gold Aureus of Augustus which
4904 romanounce uncia # was in use from BC 27 to AD 296.
4905 deunx 11 uncia
4906 dextans 10 uncia
4907 dodrans 9 uncia
4908 bes 8 uncia
4909 seprunx 7 uncia
4910 semis 6 uncia
4911 quincunx 5 uncia
4912 triens 4 uncia
4913 quadrans 3 uncia
4914 sextans 2 uncia
4915 sescuncia 1.5 uncia
4916 semuncia 1|2 uncia
4917 siscilius 1|4 uncia
4918 sextula 1|6 uncia
4919 semisextula 1|12 uncia
4920 scriptulum 1|24 uncia
4921 scrupula scriptulum
4922 romanobol 1|2 scrupula
4923
4924 romanaspound 4210 grain # Old pound based on bronze coinage, the
4925 # earliest money of Rome BC 338 to BC 268.
4926
4927 # Egyptian length measure
4928
4929 egyptianroyalcubit 20.63 in # plus or minus .2 in
4930 egyptianpalm 1|7 egyptianroyalcubit
4931 egyptiandigit 1|4 egyptianpalm
4932 egyptianshortcubit 6 egyptianpalm
4933
4934 doubleremen 29.16 in # Length of the diagonal of a square with
4935 remendigit 1|40 doubleremen # side length of 1 royal egyptian cubit.
4936 # This is divided into 40 digits which are
4937 # not the same size as the digits based on
4938 # the royal cubit.
4939
4940 # Greek length measures
4941
4942 greekfoot 12.45 in # Listed as being derived from the
4943 greekfeet greekfoot # Egyptian Royal cubit in [11]. It is
4944 greekcubit 1.5 greekfoot # said to be 3|5 of a 20.75 in cubit.
4945 pous greekfoot
4946 podes greekfoot
4947 orguia 6 greekfoot
4948 greekfathom orguia
4949 stadion 100 orguia
4950 akaina 10 greekfeet
4951 plethron 10 akaina
4952 greekfinger 1|16 greekfoot
4953 homericcubit 20 greekfingers # Elbow to end of knuckles.
4954 shortgreekcubit 18 greekfingers # Elbow to start of fingers.
4955
4956 ionicfoot 296 mm
4957 doricfoot 326 mm
4958
4959 olympiccubit 25 remendigit # These olympic measures were not as
4960 olympicfoot 2|3 olympiccubit # common as the other greek measures.
4961 olympicfinger 1|16 olympicfoot # They were used in agriculture.
4962 olympicfeet olympicfoot
4963 olympicdakylos olympicfinger
4964 olympicpalm 1|4 olympicfoot
4965 olympicpalestra olympicpalm
4966 olympicspithame 3|4 foot
4967 olympicspan olympicspithame
4968 olympicbema 2.5 olympicfeet
4969 olympicpace olympicbema
4970 olympicorguia 6 olympicfeet
4971 olympicfathom olympicorguia
4972 olympiccord 60 olympicfeet
4973 olympicamma olympiccord
4974 olympicplethron 100 olympicfeet
4975 olympicstadion 600 olympicfeet
4976
4977 # Greek capacity measure
4978
4979 greekkotyle 270 ml # This approximate value is obtained
4980 xestes 2 greekkotyle # from two earthenware vessels that
4981 khous 12 greekkotyle # were reconstructed from fragments.
4982 metretes 12 khous # The kotyle is a day's corn ration
4983 choinix 4 greekkotyle # for one man.
4984 hekteos 8 choinix
4985 medimnos 6 hekteos
4986
4987 # Greek weight. Two weight standards were used, an Aegina standard based
4988 # on the Beqa shekel and an Athens (attic) standard.
4989
4990 aeginastater 192 grain # Varies up to 199 grain
4991 aeginadrachmae 1|2 aeginastater
4992 aeginaobol 1|6 aeginadrachmae
4993 aeginamina 50 aeginastaters
4994 aeginatalent 60 aeginamina # Supposedly the mass of a cubic foot
4995 # of water (whichever foot was in use)
4996
4997 atticstater 135 grain # Varies 134-138 grain
4998 atticdrachmae 1|2 atticstater
4999 atticobol 1|6 atticdrachmae
5000 atticmina 50 atticstaters
5001 attictalent 60 atticmina # Supposedly the mass of a cubic foot
5002 # of water (whichever foot was in use)
5003
5004 # "Northern" cubit and foot. This was used by the pre-Aryan civilization in
5005 # the Indus valley. It was used in Mesopotamia, Egypt, North Africa, China,
5006 # central and Western Europe until modern times when it was displaced by
5007 # the metric system.
5008
5009 northerncubit 26.6 in # plus/minus .2 in
5010 northernfoot 1|2 northerncubit
5011
5012 sumeriancubit 495 mm
5013 kus sumeriancubit
5014 sumerianfoot 2|3 sumeriancubit
5015
5016 assyriancubit 21.6 in
5017 assyrianfoot 1|2 assyriancubit
5018 assyrianpalm 1|3 assyrianfoot
5019 assyriansusi 1|20 assyrianpalm
5020 susi assyriansusi
5021 persianroyalcubit 7 assyrianpalm
5022
5023
5024 # Arabic measures. The arabic standards were meticulously kept. Glass weights
5025 # accurate to .2 grains were made during AD 714-900.
5026
5027 hashimicubit 25.56 in # Standard of linear measure used
5028 # in Persian dominions of the Arabic
5029 # empire 7-8th cent. Is equal to two
5030 # French feet.
5031
5032 blackcubit 21.28 in
5033 arabicfeet 1|2 blackcubit
5034 arabicfoot arabicfeet
5035 arabicinch 1|12 arabicfoot
5036 arabicmile 4000 blackcubit
5037
5038 silverdirhem 45 grain # The weights were derived from these two
5039 tradedirhem 48 grain # units with two identically named systems
5040 # used for silver and used for trade purposes
5041
5042 silverkirat 1|16 silverdirhem
5043 silverwukiyeh 10 silverdirhem
5044 silverrotl 12 silverwukiyeh
5045 arabicsilverpound silverrotl
5046
5047 tradekirat 1|16 tradedirhem
5048 tradewukiyeh 10 tradedirhem
5049 traderotl 12 tradewukiyeh
5050 arabictradepound traderotl
5051
5052 # Miscellaneous ancient units
5053
5054 parasang 3.5 mile # Persian unit of length usually thought
5055 # to be between 3 and 3.5 miles
5056 biblicalcubit 21.8 in
5057 hebrewcubit 17.58 in
5058 li 10|27.8 mile # Chinese unit of length
5059 # 100 li is considered a day's march
5060 liang 11|3 oz # Chinese weight unit
5061
5062
5063 # Medieval time units. According to the OED, these appear in Du Cange
5064 # by Papias.
5065
5066 timepoint 1|5 hour # also given as 1|4
5067 timeminute 1|10 hour
5068 timeostent 1|60 hour
5069 timeounce 1|8 timeostent
5070 timeatom 1|47 timeounce
5071
5072 # Given in [15], these subdivisions of the grain were supposedly used
5073 # by jewelers. The mite may have been used but the blanc could not
5074 # have been accurately measured.
5075
5076 mite 1|20 grain
5077 droit 1|24 mite
5078 periot 1|20 droit
5079 blanc 1|24 periot
5080
5081 #
5082 # Some definitions using ISO 8859-1 characters
5083 #
5084
5085 ¼- 1|4
5086 ½- 1|2
5087 ¾- 3|4
5088 µ- micro
5089 ¢ cent
5090 £ britainpound
5091 ¥ japanyen
5092 ångström angstrom
5093 Å angstrom
5094 röntgen roentgen
5095 °C degC
5096 °F degF
5097 °K K # °K is incorrect notation
5098 °R degR
5099 ° degree
5100
5101 #
5102 # Localisation
5103 #
5104
5105 !locale en_US
5106 hundredweight ushundredweight
5107 ton uston
5108 scruple apscruple
5109 fluidounce usfluidounce
5110 gallon usgallon
5111 bushel usbushel
5112 quarter quarterweight
5113 cup uscup
5114 tablespoon ustablespoon
5115 teaspoon usteaspoon
5116 horsepower ushorsepower
5117 dollar US$
5118 cent $ 0.01
5119 penny cent
5120 minim minimvolume
5121 pony ponyvolume
5122 grand usgrand
5123 firkin usfirkin
5124 hogshead ushogshead
5125 acre usacre
5126 acrefoot usacrefoot
5127 !endlocale
5128
5129 !locale en_GB
5130 hundredweight brhundredweight
5131 ton brton
5132 scruple brscruple
5133 fluidounce brfluidounce
5134 gallon brgallon
5135 bushel brbushel
5136 quarter brquarter
5137 chaldron brchaldron
5138 cup brcup
5139 teacup brteacup
5140 tablespoon brtablespoon
5141 teaspoon brteaspoon
5142 horsepower brhorsepower
5143 dollar US$
5144 cent $ 0.01
5145 penny brpenny
5146 minim minimnote
5147 pony brpony
5148 grand brgrand
5149 firkin brfirkin
5150 hogshead brhogshead
5151 acre intacre
5152 acrefoot intacrefoot
5153 !endlocale
5154
5155 ############################################################################
5156 #
5157 # The following units were in the unix units database but do not appear in
5158 # this file:
5159 #
5160 # wey used for cheese, salt and other goods. Measured mass or
5161 # waymass volume depending on what was measured and where the measuring
5162 # took place. A wey of cheese ranged from 200 to 324 pounds.
5163 #
5164 # sack No precise definition
5165 #
5166 # spindle The length depends on the type of yarn
5167 #
5168 # block Defined variously on different computer systems
5169 #
5170 # erlang A unit of telephone traffic defined variously.
5171 # Omitted because there are no other units for this
5172 # dimension. Is this true? What about CCS = 1/36 erlang?
5173 # Erlang is supposed to be dimensionless. One erlang means
5174 # a single channel occupied for one hour.
5175 #
5176 ############################################################################
5177
5178
5179
5180
5181 beardsecond 5 nanometers