Appendix of Dimensions

Dimensional Listing

 

specific length

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

typp

specific length

specific length

(0,1,-1)

meter per kilogram

RR

 

 

fluidity

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

fluidity

fluidity

fluidity

(1,1,-1)

per pascal second

CRC F98

rhe

fluidity

fluidity

(1,1,-1)

per pascal second

CRC F98, F357; M 1-24; RR

 

 

permeability

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

brewster

.

permeability

(2,1,-1)

sq meter per newton

RR

compliance tensor

compressibility

permeability

(2,1,-1)

sq meter per newton

AIP 40

compressibility

compressibility

permeability

(2,1,-1)

sq meter per newton

AIP 45; CRC E110, F12, F86, F87; Sz 676

magnetic permeability

magnetic permeability

permeability

(2,1,-1)

henry per meter

CRC F111, F364

magnetic susceptibility

magnetic permeability

permeability

(2,1,-1)

henry per meter

CRC F127

permeability (1)

magnetic permeability

permeability

(2,1,-1)

henry per meter

AIP 45; CRC F215; M 15-4; Sz 58, 681

specific vapor capacity

.

permeability

(2,1,-1)

.

CRC F363

vapor capacity

.

permeability

(2,1,-1)

.

CRC F365

 

 

specific area

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

mass attenuation coefficient

mass attenuation

specific area

(0,2,-1)

sq meter per kilogram

AIP 45; CRC F360; Sz 59

mass energy absorption coefficient

.

specific area

(0,2,-1)

.

CRC F360

mass energy transfer coefficient

.

specific area

(0,2,-1)

.

CRC F360

specific rotation (1)

polarization rotation

specific area

(0,2,-1)

radian specific-volume per meter

CRC C705, F126

 

 

resistance

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

capacitive reactance

i resistance

resistance

(1,2,-1)

ohm

M 15-3

electric resistance

resistance

resistance

(1,2,-1)

ohm

CRC F134, F283, F313; M 1-18; MH 2416

impedance

impedance

resistance

(1,2,-1)

ohm

CRC F104; M 15-3; Sz 58, 679

inductive reactance

i resistance

resistance

(1,2,-1)

ohm

M 15-3

ohm

resistance

resistance

(1,2,-1)

ohm

CRC F116, F134, F283, F313; M 1-18

reactance

i resistance

resistance

(1,2,-1)

ohm

Sz 58, 678

resistance

resistance

resistance

(1,2,-1)

ohm

AQ 28; CRC F122, F313; M 15-3

 

 

inductance

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

henry

inductance

inductance

(2,2,-1)

henry

CRC F103, F134, F283, F313; M 1-18; MH 2416

inductance

inductance

inductance

(2,2,-1)

henry

AQ 28; CRC F134, F283, F313; M 1-18; MH 2416

magnetic permeance

magnetic permeance

inductance

(2,2,-1)

henry

Sz 58, 679

mutual inductance

inductance

inductance

(2,2,-1)

henry

AIP 42; M 15-3

permeance (1)

magnetic permeance

inductance

(2,2,-1)

henry

AQ 28; M 15-4

self-inductance

inductance

inductance

(2,2,-1)

henry

AIP 42

 

 

specific volume

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

mass capacity

mass capacity

specific volume

(0,3,-1)

cu meter per kilogram

CRC F363, F365

solubility (1)

solubility

specific volume

(0,3,-1)

cu meter per kilogram

CRC B457

specific volume

specific volume

specific volume

(0,3,-1)

cu meter per kilogram

CRC F126, F302; M 3-52

 

 

resistivity

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

barrer

gas permeability

resistivity

(1,3,-1)

.

RR

hall coefficient

volume per charge

resistivity

(1,3,-1)

cu meter per coulomb

AIP 40

resistivity

resistivity

resistivity

(1,3,-1)

ohm meter

CRC B206, E95, F122; M 15-3; Sz 58, 678

 

 

mass concentration

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

cfu

.

mass concentration

(0,0,-1)

.

RR

heat capacity (3)

specific heat capacity

mass concentration

(0,0,-1)

joule per kilogram kelvin

CRC F363

humid heat

.

mass concentration

(0,0,-1)

.

CRC F363

molality

mass concentration

mass concentration

(0,0,-1)

mole per kilogram

AIP 39; CRC F113; Sz 59, 684

osmolal

mass concentration

mass concentration

(0,0,-1)

mole per kilogram

RR

specific entropy

per mass

mass concentration

(0,0,-1)

per kilogram

Sz 57, 674

specific heat (3)

specific heat

mass concentration

(0,0,-1)

joule per kilogram kelvin

CRC D174, D180, D181, E106, F10, F363

specific heat capacity

specific heat capacity

mass concentration

(0,0,-1)

joule per kilogram kelvin

AIP 38; CRC B205, E16, F64, F102, F302; M 1-18

specific molar heat capacity

specific heat

mass concentration

(0,0,-1)

joule per kilogram mole kelvin

CRC D175, F363

thermal capacity

per mass

mass concentration

(0,0,-1)

per kilogram

CRC D173, F102, F128

 

 

specific activity

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

mass radiation concentration

specific activity

specific activity

(-1,0,-1)

becquerel per kilogram

periodic table entry

specific activity

specific activity

specific activity

(-1,0,-1)

becquerel per kilogram

AIP 37

strontium unit

specific activity

specific activity

(-1,0,-1)

becquerel per kilogram

RR

 

 

transport diffusion

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

transport diffusion coefficient

transport diffusion

transport diffusion

(1,-1,-1)

mole per pascal sq meter second

Sz 59, 685

 

 

thermoelectric power

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

seebeck coefficient

.

thermoelectric power

(1,0,-1)

volt per kelvin

AIP 43

specific heat of electricity

.

thermoelectric power

(1,0,-1)

joules per coulomb kelvin

CRC F129

thermoelectric power

thermoelectric power

thermoelectric power

(1,0,-1)

volt per kelvin

CRC F128; [need confirming source]

 

 

thermal expansion

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

bulk expansion coefficient

.

thermal expansion

(2,-2,-1)

cu meter per cu meter kelvin

CRC F364

coefficient of tension

pressure increase

thermal expansion

(2,-2,-1)

per kelvin

CRC F86

cubic expansion coefficient

.

thermal expansion

(2,-2,-1)

per kelvin

AIP 44

linear thermal expansion coefficient

linear thermal expansion

thermal expansion

(2,-2,-1)

.

CRC F128; Sz 57, 676

mired

reciprocal kelvin

thermal expansion

(2,-2,-1)

per kelvin

RR

radiation chemical yield

.

thermal expansion

(2,-2,-1)

mole per joule

CRC F360

reciprocal kelvin

reciprocal kelvin

thermal expansion

(2,-2,-1)

per kelvin

RR

thermal expansion coefficient

thermal expansion coefficient

thermal expansion

(2,-2,-1)

per kelvin

CRC B213, E106, F64, F128

thermogradient coefficient

.

thermal expansion

(2,-2,-1)

.

CRC F364

volumetric thermal expansion coefficient

volumetric thermal expansiont

thermal expansion

(2,-2,-1)

.

CRC F128; Sz 57, 676

 

 

density of states

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

density of states

density of states

density of states

(2,-5,-1)

per cu meter joule

AIP 43

 

 

lorenz coefficient

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

lorenz coefficient

lorenz coefficient

lorenz coefficient

(2,0,-2)

sq volt per sq kelvin

AIP 42

 

 

second hyper-susceptibility

Measurement

Description

Fundamental

Quantity

SP

Dimensions

SI unit

Reference

second hyper-polarizability

second hyper-susceptibility

second hyper-susceptibility

(3,-3,-1)

coulomb meter per sq joule

efunda.com

 

 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)