Appendix
of Dimensions
Dimensional
Listing
Measurement |
Description |
Fundamental Quantity |
SP Dimensions |
SI unit |
Reference |
abbe number |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
absolute activity |
exponential |
number |
(0,0,0) |
unity |
AIP 45; CRC F291 |
absolute specific gravity |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
absorbance unit |
transmission |
number |
(0,0,0) |
. |
RR |
absorptance |
proportion |
number |
(0,0,0) |
unity |
AIP 44; CRC F73, E210 |
absorption coefficient |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
absorption cross-section (2) |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
absorption factor |
proportion |
number |
(0,0,0) |
unity |
AIP 44; CRC F73 |
acetone number |
proportion |
number |
(0,0,0) |
unity |
CRC F74 |
acoustic absorption coefficient |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
activity (1) |
proportion |
number |
(0,0,0) |
unity |
CRC F100 |
activity coefficient |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
albedo |
proportion |
number |
(0,0,0) |
. |
CRC F75 |
alfven number |
proportion |
number |
(0,0,0) |
unity |
CRC F76 |
amount of substance |
quantity |
number |
(0,0,0) |
mole |
AIP 39; CRC F282, F311; M 1-18; MH 2415 |
angle |
plane angle |
number |
(0,0,0) |
radian |
CRC F313 |
angular displacement |
plane angle |
number |
(0,0,0) |
radian |
CRC F77 |
aperture ratio |
proportion |
number |
(0,0,0) |
unity |
CRC F78 |
atomic heat capacity |
proportion |
number |
(0,0,0) |
unity |
CRC F79 |
atomic number |
quantity |
number |
(0,0,0) |
mole |
AIP 44; RR |
azimuth |
plane angle |
number |
(0,0,0) |
radian |
CRC F80 |
baker's dozen |
quantity |
number |
(0,0,0) |
unity |
RR |
bale (2) |
quantity |
number |
(0,0,0) |
unity |
RR |
ball |
proportion |
number |
(0,0,0) |
unity |
RR |
bel |
exponential |
number |
(0,0,0) |
decibel |
CRC F81; RR |
billiard |
quantity |
number |
(0,0,0) |
unity |
RR |
bind |
quantity |
number |
(0,0,0) |
unity |
RR |
bit |
quantity |
number |
(0,0,0) |
unity |
RR |
bragg angle |
plane angle |
number |
(0,0,0) |
radian |
AIP 45 |
bulk strain |
strain |
number |
(0,0,0) |
unity |
CRC F318 |
bundle (2) |
quantity |
number |
(0,0,0) |
unity |
RR |
b-unit |
proportion |
number |
(0,0,0) |
unity |
CRC F121 |
byte |
quantity |
number |
(0,0,0) |
unity |
RR |
caliber (2) |
proportion |
number |
(0,0,0) |
unity |
RR |
carrier susceptibility |
proportion |
number |
(0,0,0) |
. |
CRC F377 |
case |
quantity |
number |
(0,0,0) |
unity |
RR |
castellation |
plane angle |
number |
(0,0,0) |
radian |
RR |
champer |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
circle |
plane angle |
number |
(0,0,0) |
radian |
RR; table27 p112 |
circumference |
plane angle |
number |
(0,0,0) |
radian |
CRC F348; M 1-17 |
clausius |
proportion |
number |
(0,0,0) |
joule per kelvin |
RR |
concentration (2) |
proportion |
number |
(0,0,0) |
unity |
CRC F363, F365, F378 |
crumb |
quantity |
number |
(0,0,0) |
unity |
RR |
decibel |
exponential |
number |
(0,0,0) |
decibel |
CRC F89, F349; M 12-136; RR |
declination |
plane angle |
number |
(0,0,0) |
radian |
CRC F90 |
degree |
plane angle |
number |
(0,0,0) |
radian |
CRC F90, F284, F349; M 1-17 |
degree API |
relative density |
number |
(0,0,0) |
unity |
M 1-29; RR |
degree balling |
proportion |
number |
(0,0,0) |
unity |
RR |
degree baume |
relative density |
number |
(0,0,0) |
unity |
CRC F3, F80; M 1-29; RR |
degree brix |
proportion |
number |
(0,0,0) |
unity |
RR |
degree kmw |
proportion |
number |
(0,0,0) |
unity |
RR |
degree oeschle |
proportion |
number |
(0,0,0) |
unity |
RR |
degree plato |
proportion |
number |
(0,0,0) |
unity |
RR |
degree quevenne |
relative density |
number |
(0,0,0) |
unity |
RR |
degree twaddle |
relative density |
number |
(0,0,0) |
unity |
CRC F3; RR |
diffraction efficiency |
proportion |
number |
(0,0,0) |
unity |
CRC F91 |
diffusion tortuosity |
. |
number |
(0,0,0) |
. |
CRC F364 |
dip |
plane angle |
number |
(0,0,0) |
radian |
CRC F91 |
dozen |
quantity |
number |
(0,0,0) |
unity |
RR |
electric susceptibility |
proportion |
number |
(0,0,0) |
unity |
AIP 46 wikipedia |
elongation |
proportion |
number |
(0,0,0) |
unity |
CRC F95 |
emissivity |
proportion |
number |
(0,0,0) |
unity |
AIP 44; CRC E209, F95 |
emittance (2) |
proportion |
number |
(0,0,0) |
unity |
CRC F95 |
entropy |
proportion |
number |
(0,0,0) |
joule per kelvin |
AIP 43; CRC F65; M 1-18; Sz 57, 674 |
equillibrium constant |
proportion |
number |
(0,0,0) |
unity |
AIP 42 |
fist (2) |
plane angle |
number |
(0,0,0) |
radian |
RR |
flat |
plane angle |
number |
(0,0,0) |
radian |
RR |
f-ratio |
proportion |
number |
(0,0,0) |
unity |
CRC F78 |
free-wave |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
friction coefficient |
proportion |
number |
(0,0,0) |
unity |
CRC F16, F100 |
gamma (2) |
magnetic flux density |
number |
(0,0,0) |
tesla |
CRC F350; M 1-22; RR |
gauss |
magnetic flux density |
number |
(0,0,0) |
tesla |
CRC F100, F284, F340, F350; M 1-22 |
g-factor |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
glean |
quantity |
number |
(0,0,0) |
unity |
RR |
gon |
plane angle |
number |
(0,0,0) |
radian |
CRC F350; RR |
grad |
plane angle |
number |
(0,0,0) |
radian |
RR |
grade |
plane angle |
number |
(0,0,0) |
radian |
M 1-22; RR |
gross |
quantity |
number |
(0,0,0) |
unity |
RR |
heat capacity (2) |
heat capacity |
number |
(0,0,0) |
joule per kelvin |
AIP 41; CRC F102; Sz 57, 674 |
heat capacity (4) |
molar heat capacity |
number |
(0,0,0) |
joule per mole kelvin |
CRC B211, D176 |
hemisphere |
solid angle |
number |
(0,0,0) |
steradian |
RR |
house |
plane angle |
number |
(0,0,0) |
radian |
RR |
hydrogen equivalent |
proportion |
number |
(0,0,0) |
per mole |
CRC F103 |
index of refraction |
proportion |
number |
(0,0,0) |
unity |
CRC F105 |
intensity of magnetization |
magnetic flux density |
number |
(0,0,0) |
tesla |
AQ 28; CRC F105 |
iodine number |
proportion |
number |
(0,0,0) |
unity |
CRC F106 |
ionic charge number |
quantity |
number |
(0,0,0) |
unity |
AIP 40 |
karat |
proportion |
number |
(0,0,0) |
unity |
RR |
linear absorption coefficient |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
linear attenuation coefficient (2) |
exponential |
number |
(0,0,0) |
unity |
CRC F73; Sz 59, 686 |
linear strain |
strain |
number |
(0,0,0) |
unity |
AIP 38 |
loss angle |
plane angle |
number |
(0,0,0) |
radian |
AIP 44 |
loudness level |
acoustic loudness |
number |
(0,0,0) |
decibel |
AIP 42 |
luminous efficacy |
proportion |
number |
(0,0,0) |
lumen per watt |
AIP 42; CRC E210 |
luminous efficiency |
proportion |
number |
(0,0,0) |
unity |
CRC E210 |
mach number |
proportion |
number |
(0,0,0) |
unity |
CRC F110; RR |
magnetic flux density |
magnetic flux density |
number |
(0,0,0) |
tesla |
AIP 41; AQ 28; CRC F134, F283, F313; M 1-18, 15-4; MH 2416 |
magnetic induction |
magnetic flux density |
number |
(0,0,0) |
tesla |
AQ 28; CRC F111 |
magnetic polarization |
. |
number |
(0,0,0) |
unity |
Sz 58 |
magnetic quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 39 |
magnetic susceptibility |
proportion |
number |
(0,0,0) |
unity |
AIP 46 wikipedia |
magnifying power |
proportion |
number |
(0,0,0) |
unity |
CRC F112 |
mas |
plane angle |
number |
(0,0,0) |
radian |
RR |
mass fraction |
proportion |
number |
(0,0,0) |
unity |
AIP 40; Sz 685 |
mass number |
quantity |
number |
(0,0,0) |
unity |
AIP 40; CRC F112 |
mil (2) |
plane angle |
number |
(0,0,0) |
radian |
RR |
minute (1) |
plane angle |
number |
(0,0,0) |
radian |
CRC F113, F284, F354; M 1-17; RR |
minyan |
quantity |
number |
(0,0,0) |
unity |
RR |
mobility |
proportion |
number |
(0,0,0) |
sq meter per volt second |
CRC E110, E114 |
mobility ratio |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
moisture content |
proportion |
number |
(0,0,0) |
unity |
CRC F363 |
molar entropy |
proportion |
number |
(0,0,0) |
unity |
CRC F283; Sz 59, 684 |
molar fraction |
proportion |
number |
(0,0,0) |
unity |
AIP 40 |
molar heat capacity |
proportion |
number |
(0,0,0) |
joule per mole kelvin |
CRC F102, F283, F302; Sz 59, 684 |
molar ratio |
proportion |
number |
(0,0,0) |
unity |
AIP 40 |
mole |
quantity |
number |
(0,0,0) |
mole |
CRC F113, F282; M 1-18; MH 2415 |
mole fraction |
proportion |
number |
(0,0,0) |
unity |
CRC F113, F379; Sz 685 |
monochromatic emissive power |
proportion |
number |
(0,0,0) |
unity |
CRC F114 |
m-unit |
proportion |
number |
(0,0,0) |
unity |
CRC F121 |
neper |
acoustic loudness |
number |
(0,0,0) |
decibel |
CRC F354; RR |
neutron number |
quantity |
number |
(0,0,0) |
unity |
AIP 42; CRC F114 |
nibble |
quantity |
number |
(0,0,0) |
unity |
RR |
nuclear spin quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 42 |
nucleon number |
quantity |
number |
(0,0,0) |
unity |
AIP 40; CRC F115 |
number |
quantity |
number |
(0,0,0) |
unity |
SP |
numerical aperture |
proportion |
number |
(0,0,0) |
unity |
CRC F115 |
n-unit |
proportion |
number |
(0,0,0) |
unity |
CRC F121 |
nusselt number |
proportion |
number |
(0,0,0) |
unity |
CRC F115 |
octant (1) |
plane angle |
number |
(0,0,0) |
radian |
RR |
octant (2) |
solid angle |
number |
(0,0,0) |
steradian |
RR |
orbital angular momentum quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 39 |
order of reflection |
quantity |
number |
(0,0,0) |
unity |
AIP 39 |
osmotic coefficient |
exponential |
number |
(0,0,0) |
unity |
CRC F294 |
packing fraction |
proportion |
number |
(0,0,0) |
unity |
CRC F117 |
parallax |
plane angle |
number |
(0,0,0) |
radian |
CRC F117 |
percent by volume |
proportion |
number |
(0,0,0) |
unity |
RR |
percent by weight |
proportion |
number |
(0,0,0) |
unity |
RR |
pH |
exponential |
number |
(0,0,0) |
unity |
RR |
phase angle |
plane angle |
number |
(0,0,0) |
radian |
CRC F118 |
phase difference |
plane angle |
number |
(0,0,0) |
radian |
AIP 46 |
plane angle |
plane angle |
number |
(0,0,0) |
radian |
AIP 44; CRC F283, F313; M 1-18 |
point (2) |
plane angle |
number |
(0,0,0) |
radian |
RR |
point (4) |
relative density |
number |
(0,0,0) |
unity |
RR |
poisson ratio |
proportion |
number |
(0,0,0) |
unity |
AIP 45; CRC F64 |
polarization vector |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
population |
quantity |
number |
(0,0,0) |
unity |
CRC F119 |
porosity (1) |
. |
number |
(0,0,0) |
. |
CRC F363 |
ppm |
proportion |
number |
(0,0,0) |
unity |
CRC F355; RR |
principal quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 39 |
proton number |
quantity |
number |
(0,0,0) |
unity |
CRC F323 |
quadrant |
plane angle |
number |
(0,0,0) |
radian |
CRC F356; M 1-17; RR |
quarter (1) |
plane angle |
number |
(0,0,0) |
radian |
RR |
radian |
plane angle |
number |
(0,0,0) |
radian |
CRC F120, F283, F357; M 1-18; RR |
rayleigh number |
proportion |
number |
(0,0,0) |
unity |
CRC F121 |
ream |
quantity |
number |
(0,0,0) |
unity |
RR |
redshift |
proportion |
number |
(0,0,0) |
unity |
RR |
reflectance |
proportion |
number |
(0,0,0) |
unity |
CRC E210 |
reflection coefficient |
proportion |
number |
(0,0,0) |
unity |
CRC F121 |
reflectivity |
proportion |
number |
(0,0,0) |
unity |
CRC F121 |
refractive index |
proportion |
number |
(0,0,0) |
unity |
AIP 39; CRC F105 |
refractivity |
proportion |
number |
(0,0,0) |
unity |
CRC F105, F121 |
relative activity |
proportion |
number |
(0,0,0) |
unity |
CRC F292 |
relative atomic mass |
proportion |
number |
(0,0,0) |
unity |
AIP 40 |
relative chemical activity |
proportion |
number |
(0,0,0) |
unity |
AIP 37 |
relative density |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
relative elongation |
proportion |
number |
(0,0,0) |
unity |
CRC F317 |
relative humidity |
proportion |
number |
(0,0,0) |
unity |
CRC F122 |
relative molar mass |
proportion |
number |
(0,0,0) |
unity |
AIP 42 |
relative molecular mass |
proportion |
number |
(0,0,0) |
unity |
AIP 42 |
relative permeability |
proportion |
number |
(0,0,0) |
unity |
AIP 45 |
relative permitivitty |
proportion |
number |
(0,0,0) |
unity |
AIP 42 |
relative stopping power |
proportion |
number |
(0,0,0) |
unity |
(amershamhealth.com) |
revolution |
plane angle |
number |
(0,0,0) |
radian |
CRC F357; RR |
right angle |
plane angle |
number |
(0,0,0) |
radian |
CRC F357; RR |
rotational quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 42 |
sabine |
proportion |
number |
(0,0,0) |
unity |
CRC F73 |
scattering angle |
plane angle |
number |
(0,0,0) |
radian |
AIP 45 |
score |
quantity |
number |
(0,0,0) |
unity |
RR |
second (1) |
plane angle |
number |
(0,0,0) |
radian |
CRC F124, F284, F357; RR |
shear strain |
strain |
number |
(0,0,0) |
unity |
AIP 44 |
solid angle |
solid angle |
number |
(0,0,0) |
steradian |
AIP 46; CRC F125, F283, F313; M 1-18 |
solubility (3) |
proportion |
number |
(0,0,0) |
unity |
CRC C707 |
sound power level |
logarithmic |
number |
(0,0,0) |
decibel |
AIP 42 |
sound pressure level |
exponential |
number |
(0,0,0) |
decibel |
AIP 42; M 12-136; Sz 58, 682 |
spat (2) |
solid angle |
number |
(0,0,0) |
steradian |
RR |
specific gravity |
relative density |
number |
(0,0,0) |
unity |
CRC F125, F364 |
specific heat (2) |
proportion |
number |
(0,0,0) |
unity |
CRC F125 |
specific inductive capacity |
proportion |
number |
(0,0,0) |
unity |
CRC F126 |
specific mass content |
proportion |
number |
(0,0,0) |
unity |
CRC F363 |
sphere |
solid angle |
number |
(0,0,0) |
steradian |
CRC F357; RR |
spin quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 40 |
square degree |
solid angle |
number |
(0,0,0) |
steradian |
CRC F357; RR |
standard entropy |
proportion |
number |
(0,0,0) |
joule per mole kelvin |
CRC B211 |
steradian |
solid angle |
number |
(0,0,0) |
steradian |
CRC F126, F283, F313, F358; M 1-18 |
stoichiometric number of substance |
quantity |
number |
(0,0,0) |
unity |
AIP 45 |
strain |
strain |
number |
(0,0,0) |
unity |
CRC F127 |
strain tensor |
proportion |
number |
(0,0,0) |
unity |
AIP 44 |
streck |
plane angle |
number |
(0,0,0) |
radian |
RR |
stress tensor |
. |
number |
(0,0,0) |
unity |
AIP 46 |
surface emissivity |
. |
number |
(0,0,0) |
. |
CRC F363 |
surface magnetic density |
magnetic flux density |
number |
(0,0,0) |
tesla |
CRC F127 |
tesla |
magnetic flux density |
number |
(0,0,0) |
tesla |
CRC F134, F283, F358; M 1-18; MH 2416 |
thermal diffusion factor |
. |
number |
(0,0,0) |
unity |
AIP 44 |
thermal diffusion ratio |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
timber |
quantity |
number |
(0,0,0) |
unity |
RR |
total angular momentum quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 38 |
transmissibility |
proportion |
number |
(0,0,0) |
unity |
CRC E422 |
transmittance |
proportion |
number |
(0,0,0) |
unity |
CRC E210 |
turn |
plane angle |
number |
(0,0,0) |
radian |
RR |
vibrational quantum number |
proportion |
number |
(0,0,0) |
unity |
AIP 40 |
visibility |
proportion |
number |
(0,0,0) |
unity |
CRC F131 |
voidage |
. |
number |
(0,0,0) |
|
CRC F363 |
volume fraction |
proportion |
number |
(0,0,0) |
unity |
AIP 46; Sz 685 |
volume magnetic suscepibility |
proportion |
number |
(0,0,0) |
unity |
AIP 46 wikipedia |
yield |
. |
number |
(0,0,0) |
. |
. |
Notes:
1) Repitious modifications of the
same
measurement (i.e.:mega-, milli-, micro-; free, rotational, ...) may not
be
reiterated.
2) Statistics units may not included.
3) The following abreviations are
used: sq =
square, cu = cubic.
References:
1) AIP = E. Richard cohen, The Physics Quick Reference guide, 1996, American Institute of Physics.
2) AQ = C. W. Allen, Astrophysical
quantities
second edition, 1963, The Athlone Press University of London.
3) CRC = CRC Handbook of chemistry and Physics 70th edition, 1989, CRC Press.
4) M = Mark's Standard Handbook for Mechanical Engineers ninth edition, 1978, McGraw-Hill.
5) MH = Machinery's Handbook 23rd edition, 1988, Industrial Press.
6) RR = Russ Rowlett's (web-based) Dictionary of Units of Measurement.
7) Sz = T. Szirtes, Applied dimensional analysis and Modeling, 1998, McGraw-Hill.
8) S&H = H. Poincare', Science
and
Hypothesis (translated 1905, Dover 1952)