Appendix of Dimensions

Dimensional Listing

 

number

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)