SI Dimensions of Physical Quantities: Alphabetic List for CSIR NET JRF

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SI Dimensions of Physical Quantities: ‘a ‘Alphabetic List

SI Dimensions: A
SI Dimensions: A

A:

Quantity

Dimension

Alternatives

Definition/Notes

Abbé number | Constringence | V-number

1

Dimensionless

VD = (nD-1)/(nF-nC)

Absorbed radiation dose

m2.s-2

J.kg-1, Gy (gray)

[Energy]/[Mass]

Absorbed dose rate

m2.s-3

Gy.s-1

[Absorbed dose]/[Time]

Acceleration, angular

s-2

rad.s-2

[ΔAngular velocity]/[ΔTime]

Acceleration | Deceleration

m.s-2

[ΔVelocity]/[ΔTime]

Acoustic impedance / resistance / reactance

kg.m-4.s-1

Pa.s/m3, reyl/m2

[Pressure]/[Volume flow rate]

Acoustic impedance, specific

kg.m-2.s-1

Pa.s/m , reyl

[ΔPressure]*[Velocity]. Also s.acu. resistance / reactance

Acoustic conductance, specific

kg-1.m2.s

reyl-1

Inverse of s.acu. impedance. Also s.acu. susceptance

Action

kg.m2.s-1

J.s

[Energy]*[Time], [Moment of motion]*[Distance]

Activity of a radioactive source

s-1

Bq (becquerel)

[Counts]/[Time]

Activity, katalytic

mol.s-1

katal

[ΔQuantity]/[Time]. Same as molar production rate

Activity, transactions rate

s-1

1/year

[Transactions]/[Time period]. Economy and finance

Admittance, inductive

kg-1.m-2.s3.A2

S (siemens)

1/[Inductive impedance]

Admittance, of a circuit

kg-1.m-2.s3.A2

S (siemens)

1/[Circuit impedance]

Advection velocity

m.s-1

m/s

In porous media; actual progress along pressure gradient

Albedo, of a surface

1

Dimensionless

[Reflected elmag power]/[Incident elmag power]

Amplification | Attenuation (generic)

1

usually in dB

[Quantity(p)]/[Quantity(p’)], with p being some parameter

Angular acceleration

s-2

rad.s-2

[ΔAngular velocity]/[ΔTime]

Angular moment of inertia

kg.m2

[Mass]*[Distance2]

Angular moment of motion

kg.m2.s-1

J.s

[Moment of motion]*[Distance]. Like [action]

Angular velocity

s-1

rad.s-1

[ΔPlane angle]/[ΔTime]

Annealing point

K

Temperature at which viscosity drops below 1012 Pa.s

Area

m2

[Distance]*[Distance]

Area growth rate

m2.s-1

[ΔArea]/[Time]

Asset | Wealth

cur

currency

Economy and finance

Atomic number

1

Dimensionless

Number of protons in an atomic nucleus

Atomic weight | Relative atomic mass

au

atomic units

Average over a typical isotopic composition

Attenuation | Amplification (generic)

1

usually in dB

[Quantity(p)]/[Quantity(p’)], with p being some parameter

Attenuation / amplification over a distance

m-1

dB/m

[Attenuation]/[Distance]. Mostly in acoustic and electronics

Attenuation / amplification over a period

s-1

dB/s

[Attenuation]/[Time]. Mostly in acoustic and electronics

SI Dimensions of Physical Quantities: ‘B’Alphabetic List

SI Dimensions: B
SI Dimensions: B

B:

Quantity

Dimension

Alternatives

Definition/Notes

Bandwidth

s-1

Hz

[ΔFrequency]

Baud rate | Information flux

bit.s-1

baud

[Information]/[Time]

Bond duration

s

year

Economy and finance

Bulk modulus

kg.m-1.s-2

N.m-2, Pa

([ΔVolume]/[Volume])/[Pressure]. Inverse of compressibility

SI Dimensions of Physical Quantities: ‘C’ Alphabetic List

SI Dimensions: C
SI Dimensions: C

C:

Quantity

Dimension

Alternatives

Definition/Notes

Capacitance, electric

kg-1.m-2.s4.A2

C.V-1, F (farad)

[Charge]/[ΔPotential]

Capacitive reactance

kg.m2.s-3.A-2

Ω (ohm)

1/(i[Angular frequency].[Capacitance])

Capacitive susceptance

kg-1.m-2.s3.A2

S (siemens)

1/[Capacitive reactance]

Cash flow

cur.s-1

currency/year

[Value]/[ΔTime]. Economy and finance

Circulation

m2.s-1

J.s.kg-1

[Angular moment]/[Mass], [Velocity]*[Loop length]

Characteristic impedance

kg.m2.s-3.A-2

V.A-1, Ω, ohm

√([Mag.Permeability]/[El.Permittivity])

Charge, electric

s .A

C (coulomb)

[Current]*[Time]

Charge, magnetic (bound)

m-2.A

- ∇.[Magnetization] , -Divergence of magnetization

Charge, quantum

1

Dimensionless

[Charge]/[Elementary charge quantum]

Charge, molecular/ionic, quantum

1

Dimensionless

[Charge of a molecule or ion]/[Elementary charge quantum]

Charge density

m-3.s.A

C.m-3

[Charge]/[Volume]

Charge/mass ratio | Specific charge

kg-1.s.A

C.kg-1

[Charge]/[Mass]

Charge, molar

s.A.mol-1

C.mol-1

[Charge]/[Quantity]

Chemical potential, molar

kg.m2.s-2.mol-1

J.mol-1

[ΔInternalEnergy]/[ΔQuantity]

Circuit admittance

kg-1.m-2.s3.A2

S (siemens)

1/[Circuit impedance]

Circuit impedance

kg.m2.s-3.A-2

Ω (ohm)

Circulation / velocity of money

s-1

1/year

[Transactions]/[Time period]. Economy and finance

Circumference | Perimeter

m

Collision cross section | Cross section

m2

[Distance]*[Distance]

Compressibility

kg-1.m.s2

Pa-1

[Pressure]/([ΔVolume]/[Volume]). Inverse of bulk modulus

Compression

kg.m-1.s-2

N.m-2, Pa (pascal)

[Force]/[Area]. Same as pressure

Compression factor of a real gas

1

Dimensionless

pV/(nRT). For ideal gas equals 1; temperature dependent

Compressive strength

kg.m-1.s-2

N.m-2, Pa

[Force]/[Area]. Like pressure

Concentration, molar

m-3.mol

[Quantity]/[Volume]. Same as molar density

Concentration gradient, molar

m-4.mol

[Molarity]/[Distance]. Same as molarity gradient

Concentration ratio, molar

1

Dimensionless

[Partial quantity]/[Total quantity]

Concentration ratio, by mass

1

Dimensionless

[Partial mass]/[Total mass]

Concentration ratio, by volume

1

Dimensionless

[Partial volume]/[Total volume]. .

Concentration, by weight (obsolete)

1

Dimensionless

[Partial mass]/[Total mass]. Obsolete: use by mass

Conductance, electric

kg-1.m-2.s3.A2

A.V-1, S (siemens)

1/[Resistance]

Conductivity, electric

kg-1.m-3.s3.A2

S.m-1

1/[Resistivity]

Conductivity, hydraulic

m.s-1

m/s

Used for porous media

Conductivity, molar

kg-1.s3.A2.mol-1

S.m2.mol-1

[El.conductivity]/[Concentration]

Conductivity, thermal

kg.m.s-3.K-1

W.m-1.K-1

[Heat flux]/([Distance]*[ΔTemperature])

Constringence | Abbé number | V-number

1

Dimensionless

VD = (nD-1)/(nF-nC)

Convergence

m-1

dioptry

in optics, but not only

Cosmological constant Λ

m-2

Present in Einstein’s equation

Cosmological expansion rate

s-1

km/s/Mpc

[Velocity]/[Distance]. Mpc stands for Megaparsec

Count of events/instances

1

This covers all kinds of enumerations

Count rate

s-1

[Counts]/[Time]

Couple

kg.m2.s-2

N.m

2*[Force]*[Distance] for two non-aligned opposing forces

Critical angle of repose

rad

or degree

Steepest angle of a slope before a slide

Cross section

m2

[Distance]*[Distance]

Cryoscopic constant

kg.mol-1.K

K/(mol/kg)

[ΔTemperature]/[Molality]

Current, electric

A

A (ampere)

Current density, electric

m-2.A

[Current]/[Area]. Same as current intensity

Current intensity, electric

m-2.A

[Current]/[Area]. Same as current density

Current noise, variance nJ2

s.A2

A2/Hz

[Current]2/[Bandwidth]

Curvature

m-1

1/[Curvature radius]

Curvature radius

m

of a line in plane/space or surface in space

SI Dimensions of Physical Quantities: ‘D’ Alphabetic List

SI Dimensions: D
SI Dimensions: D

D:

Quantity

Dimension

Alternatives

Definition/Notes

D’Alembert operator | D’Alembertian

m-2

(1/c2)2/∂t2 - ∂2/∂x2 - ∂2/∂y2 - ∂2/∂z2

Debt | Liability

cur

currency

Economy and finance

Debt/GDP ratio

s

year

[Debt]/[Earnings]. Economy and finance

Deceleration | Acceleration

m.s-2

[ΔVelocity]/[ΔTime]

Deceleration, angular

s-2

rad.s-2

[ΔAngular velocity]/[ΔTime]

Density of electric charge

m-3.s.A

C.m-3

[Charge]/[Volume]

Density of electric current

m-2.A

[Current]/[Area]. Same as current intensity

Density of energy

kg.m-1.s-2

J.m-3

[Energy]/[Volume]

Density of mass

kg.m-3

[Mass]/[Volume]. Same as specific density

Density of mass, gradient of

kg.m-4

[Mass density]/[Distance]. Same as specific density gradient

Density of particles

m-3

[Count]/[Volume]. Obsolete: number density

Density of substance

m-3.mol

[Quantity]/[Volume]. Same as molar concentration

Derivative with respect to time

s-1

d/dt, ∂/∂t

Derivative with respect to a length

m-1

d/dr, ∂/∂r, r = x | y | z

Dielectric constant | Relative permittivity

1

Dimensionless

[Permittivity]/[Permittivity of vacuum]

Dielectric strength/rigidity | Electric strength

kg.m.s-3.A-1

V.m-1

[ΔPotential]/[Distance]

Diffusion coefficient

m2.s-1

[Distance]2/[Time]

Diffusivity, thermal

m2.s-1

([∂Temperatute]/[∂Time])/[∇2Temperature].

Dipole moment, electric

m.s.A

C.m

[Charge]*[Distance]

Dipole moment, magnetic

m2.A

J.T-1

[Current]*[Area]

Dispersive power

1

Dimensionless

Ratio of differences of refractive indices

Dispersivity quotient

m-1

[ΔRefractive index]/[ΔWavelength]

Displacement, electric

m-2.s.A

C.m-2

[Charge]/[Area]. Same as electric flux density

Displacement four-tensor (relativistic Dμν)

m-1.A

Like magnetic intensity

Distance

m

in all Euclidean n-dimensional spaces

Dose of absorbed radiation

m2.s-2

J.kg-1, Gy (gray)

[Energy]/[Mass]

Dose rate

m2.s-3

Gy.s-1

[Absorbed dose]/[Time]

Drift speed

m.s-1

Steady-state speed of an object. .

Duration

s

s (second)

Dynamic viscosity

kg.m-1.s-1

Pa.s

([Force]/[Area])/[ΔVelocity]

SI Dimensions of Physical Quantities: ‘E’ Alphabetic List

SI Dimensions: E
SI Dimensions: E

E:

Quantity

Dimension

Alternatives

Definition/Notes

Earnings | Income rate

cur.s-1

currency/year

[Value]/[Time period]. Economy and finance

Ebullioscopic constant

kg.mol-1.K

K/(mol/kg)

[ΔTemperature]/[Molality]

Electric capacitance

kg-1.m-2.s4.A2

C.V-1, F (farad)

[Charge]/[ΔPotential]

Electric charge

s .A

C (coulomb)

[Current]*[Time]

Electric conductance

kg-1.m-2.s3.A2

A.V-1, S (siemens)

[Current]/[ΔPotential]. Inverse of resistance

Electric conductivity

kg-1.m-3.s3.A2

S.m-1

1/[Resistivity]

Electric conductivity, molar

kg-1.s3.A2.mol-1

S.m2.mol-1

[El.conductivity]/[Concentration]

Electric current

A

A (ampere)

Electric dipole moment

m.s.A

C.m

[Charge]*[Distance]

Electric displacement

m-2.s.A

C.m-2

[Charge]/[Area]. Same as electric flux density

Electric field strength | Electric intensity

kg.m.s-3.A-1

V.m-1

[ΔPotential]/[Distance]

Electric field gradient

kg.s-3.A-1

V.m-2

[ΔEl.field strength]/[Distance]

Electric flux density | Electric induction

m-2.s.A

C.m-2

[Charge]/[Area]

Electric inductance

kg.m2.s-2.A-2

V.s.A-1, H (henry)

[ΔPotential]/[dCurrent/dt]

Electric induction

m-2.s.A

C.m-2

[Charge]/[Area]. More properly electric flux density

Electric intensity

kg.m.s-3.A-1

V.m-1

[ΔPotential]/[Distance]. More properly electric field strength

Electric permittivity

kg-1.m-3.s4.A2

F.m-1

[El.flux density]/[El.field strength]

Electric permittivity, relative

1

Dimensionless

[Permittivity]/[Permittivity of vacuum]. Same as dielectric constant

Electric polarization

m-2.s.A

C.m-2

[Charge]/[Area]. Like electric flux density

Electric potential

kg.m2.s-3.A-1

W.A-1, J.C-1, V (volt)

[Power]/[Current], [Energy]/[Charge]

Electric quadrupole moment

m2.s.A

C.m2

[Electric dipole]*[Distance], [Electric charge]*[Distance2]

Electric resistance

kg.m2.s-3.A-2

V.A-1, Ω (ohm)

[ΔPotential]/[Current]

Electric resistivity

kg.m3.s-3.A-2

Ω.m

([Resistance]*[Length])/[Area]

Electric strength | Dielectric strength

kg.m.s-3.A-1

V.m-1

[ΔPotential]/[Distance]. .

Electromagnetic field tensor (relativistic Fμν)

kg.s-2.A-1

T

Like magnetic flux density

Electromagnetic displacement (relat. Dμν)

m-1.A

Like magnetic intensity

Electromagnetic four-current (relativistic Jα)

m-2.A

Like current density and [Charge]*[c]

Electromagnetic four-potential (relativistic Aα)

kg.m.s-2.A-1

m-1.s.V, m.T

Like magnetic vector potential and [El.potential]/[c]

Electromotive force (emf)

kg.m2.s-3.A-1

V

[ΔPotential]

Electron affinity (always molar)

kg.m2.s-2.mol-1

J.mol-1

Energy released binding an electron

Electronegativity, Pauling χ

1

Dimensionless

Relative tendency of an atom to attract electrons; χ(H)=2.20.

Electrostriction coefficient

kg-2.m-2.s6.A2

m2.V-2

([ΔVolume]/[Volume])/[Electric field strength]2

Emittance, luminous

cd.sr.m-2

lm.m-2, lx (lux)

[Luminous flux]/[Area]. Same as luminous exitance

Energy

kg.m2.s-2

N.m, J (joule)

[Force]*[Distance], [Power]*[Time]

Energy, molar

kg.m2.s-2.mol-1

J.mol-1

[Energy]/[Quantity]

Energy, specific

m2.s-2

J.kg-1

[Energy]/[Mass]

Energy density

kg.m-1.s-2

J.m-3

[Energy]/[Volume]

Energy flux | Power

kg.m2.s-3

J.s-1, W (watt)

[ΔEnergy]/[ΔTime]

Enthalpy

kg.m2.s-2

J

Like energy and heat

Enthalpy, molar

kg.m2.s-2.mol-1

J.mol-1

[Enthalpy]/[Quantity]. Like molar heat

Enthalpy, specific

m2.s-2

J.kg-1

[Enthalpy]/[Mass]. Like specific heat

Entropy

kg.m2.s-2.K-1

J.K-1

[ΔHeat]/[Temperature]

Entropy, molar

kg.m2.s-2.K-1.mol-1

J.K-1.mol-1

[Entropy]/[Quantity]

Entropy, specific

m2.s-2.K-1

J.K-1.kg-1

[Entropy]/[Mass]

Evolution rate, log-scale

s-1

d{ln(Q)}/dt = (dQ/dt)/Q. Same as relative evolution rate

Expansion coefficient, thermal

K-1

([ΔLength]/[Length])/[Temperature]

Expansion rate, cosmological

s-1

km/s/Mpc

[Velocity]/[Distance]. Mpc stands for Megaparsec

Expectation frequency

s-1

[Counts]/[Time]. Like count rate

Exposure

kg-1.s.A

C.kg-1

[Charge]/[Mass]. Used for ionising radiations

Extinction coefficient

m-1

dB/m

[Ratio]/m. Used mostly for radiation

SI Dimensions of Physical Quantities: ‘F’ Alphabetic List

SI Dimensions: F
SI Dimensions: F

F:

Quantity

Dimension

Alternatives

Definition/Notes

Field tensor, electromagnetic (relativistic Fμν)

kg.s-2.A-1

T

Like magnetic flux density

Fire point

K

Temperature at which ignited vapour keeps burning

Flash point

K

Temperature at which vapour can be kept burning

Flow

cur.s-1

currency/year

[ΔValue]/[ΔTime]. Economy and finance: time derivative

Flow rate, of mass | Mass production rate

kg.s-1

[ΔMass]/[Time]. For example, through a pipe

Flow rate, of volume

m3.s-1

[ΔVolume]/[Time]. For example, through a pipe

Force

kg.m.s-2

N (newton)

[Mass]*[Acceleration]

Force, thermodynamic

kg.m.s-2.mol-1

N/mol

[ΔChemical potential]/[Distance]

Four-current (relativistic Jα)

m-2.A

Like current density and [Charge]*[c]

Four-potential (relativistic Aα)

kg.m.s-2.A-1

m-1.s.V, m.T

Like magnetic vector potential and [El.potential]/[c]

Four-tensor elmag displacement (relat. Dμν)

m-1.A

Like magnetic intensity

Four-tensor elmag field (relativistic Fμν)

kg.s-2.A-1

T

Like magnetic flux density

Free energy

kg.m2.s-2

J

Also Helmholtz function. Like energy

Free energy, molar

kg.m2.s-2.mol-1

J.mol-1

[Free energy]/[Quantity]. Like Helmholtz function

Free energy, specific

m2.s-2

J.kg-1

[Free energy]/[Mass]. Like specific Helmholtz function

Free enthalpy

kg.m2.s-2

J

Also Gibbs function. Like energy

Free enthalpy, molar

kg.m2.s-2.mol-1

J.mol-1

[Free enthalpy]/[Quantity]. Like molar Gibbs function

Free enthalpy, specific

m2.s-2

J.kg-1

[Free enthalpy]/[Mass]. Like specific Gibbs function

Frequency of events

s-1

[Counts]/[Time]

Frequency of waves

s-1

Hz

hertz

Frequency drift rate

s-2

Hz.s-1

[ΔFrequency]/[Time]

Friction

kg.m.s-2

N

Tangential force between two moving surfaces

Friction coefficient

1

Dimensionless

[Tangential force]/[Normal force]

Fugacity

kg.m-1.s-2

Pa

Effective pressure in real gases

SI Dimensions of Physical Quantities: ‘G’ Alphabetic List

SI Dimensions: G
SI Dimensions: G

G:

Quantity

Dimension

Alternatives

Definition/Notes

Gain of a device

1

Dimensionless

[Output]/[Input], like-quantities ratio. Often in dB

GDP Gross domestic product

cur.s-1

currency/year

[Earnings]. Economy and financee: of an administrative region

g-factor of a particle

1

Dimensionless

[Magnetic moment]/([Spin].[Bohr magneton])

Gradient, of electric field

kg.s-3.A-1

V.m-2

[ΔEl.field strength]/[Distance]

Gradient, of magnetic field

kg.m-1.s-2.A-1

T.m-1

[ΔMag.flux density]/[Distance]

Gradient, of mass density

kg.m-4

[Mass density]/[Distance]. Same as specific density gradient

Gradient, of pressure

kg.m-2.s-2

N.m-3, Pa/m

[Pressure]/[Distance]

Gradient, thermal

K.m-1

[ΔTemperature]/[Distance]. Same as temperature gradient

Gravitational constant G

kg-1.m3.s-2

[Force]*[Distance]2/[Mass]2. Appears in Newton’s equation

Gravitational field intensity | Gravity

m.s-2

[Force]/[Mass], [Acceleration]

Gravitational field potential

m2.s-2

[Energy]/[Mass].

Gravity | Gravitational field intensity

m.s-2

[Force]/[Mass], [Acceleration]

Growth rate, relative

s-1

[Relative variation]/[Time]

Growth rate, linear

m.s-1

[ΔLength]/[Time]

Growth rate, of area/surface

m2.s-1

[ΔArea]/[Time]

Growth rate, of volume

m3.s-1

[ΔVolume]/[Time]

Gyromagnetic ratio

kg-1.s.A

Hz.T-1

[Mag.moment]/[Angular moment of motion]

SI Dimensions of Physical Quantities: ‘H’ Alphabetic List

SI Dimensions: H
SI Dimensions: H

H:

Quantity

Dimension

Alternatives

Definition/Notes

Half life

s

of a non-conservative / decaying quantity

Hamiltonian

kg.m2.s-2

J

[Force]*[Distance], [Power]*[Time]. Like energy

Hardness

kg.m-1.s-2

N.m-2

[Force]/[Area]. Same as pressure

Heat

kg.m2.s-2

J

Like energy

Heat, molar

kg.m2.s-2.mol-1

J.mol-1

[Heat]/[Quantity]

Heat, specific

m2.s-2

J.kg-1

[Heat]/[Mass]

Heat capacity

kg.m2.s-2.K-1

J.K-1

[ΔHeat]/[ΔTemperature]

Heat capacity, molar

kg.m2.s-2.K-1.mol-1

J.K-1.mol-1

[Heat capacity]/[Quantity]

Heat capacity, specific

m2.s-2.K-1

J.K-1.kg-1

[Heat capacity]/[Mass]

Heat conductivity | Thermal conductivity

kg.m.s-3.K-1

W.m-1.K-1

[Heat flux]/([Distance]*[ΔTemperature])

Heat flux

kg.m2.s-3

J.s, W

[ΔHeat]/[ΔTime]. Like power

Heat flux density

kg.s-3

W.m-2

[Heat flux]/[Area]. Same as irradiance

Heat of fusion/evaporation, specific

m2.s-2

J.kg-1

[Energy]/[Mass]

Heat of fusion | evaporation, molar

kg.m2.s-2.mol-1

J.mol-1

[Energy]/[Quantity]

Hydraulic conductivity

m.s-1

m/s

Used for porous media

Hydraulic permeability

m2

1 darcy = 10-12 m2

[Velocity]*[Viscosity]/[Pressure gradient], in porous media

SI Dimensions of Physical Quantities: ‘I’ Alphabetic List

SI Dimensions: I
SI Dimensions: I

I:

Quantity

Dimension

Alternatives

Definition/Notes

Illuminance

cd.sr.m-2

lm.m-2, lx (lux)

[Luminous flux]/[Area]

Impact resistance

kg.s-2

J.m-2

[Energy]/[Area]

Impedance, acoustic

kg.m-4.s-1

Pa.s/m3, reyl/m2

[ΔPressure]/[Volume flow rate]. Also acu. resistance / reactance

Impedance, acoustic, specific

kg.m-2.s-1

Pa.s/m , reyl

[ΔPressure]*[Velocity]. Also s.acu. resistance / reactance

Impedance, characteristic, electric

kg.m2.s-3.A-2

V.A-1, Ω, ohm

√([Mag.Permeability]/[El.Permittivity])

Impedance, inductive

kg.m2.s-3.A-2

Ω (ohm)

i[Angular frequency].[Inductance]

Impedance, of a circuit

kg.m2.s-3.A-2

Ω (ohm)

Impulse

kg.m.s-1

[ΔMoment of motion], [Force]*[ΔTime], [Mass]*[ΔVelocity]

Income rate | Earnings

cur.s-1

currency/year

[Value]/[Time period]. Economy and finance

Inductance

kg.m2.s-2.A-2

V.s.A-1, Wb.A-1, H (henry)

[ΔPotential]/[dCurrent/dt], [Mag.flux]/[Current]

Induction, electric

m-2.s.A

C.m-2

[Charge]/[Area]. Same as electric flux density

Inductive admittance

kg-1.m-2.s3.A2

S (siemens)

1/[Inductive impedance]

Inductive impedance

kg.m2.s-3.A-2

Ω (ohm)

i[Angular frequency].[Inductance]

Information

bit-1

bit

One bit is the elementary information quantum

Information flux | Baud rate

bit.s-1

baud

[Information]/[Time]

Intensity of electric current

m-2.A

[Current]/[Area]. Same as current density

Interest

1

%

[ΔWealth]/[Wealth]. Economy and finance

Interest rate

s-1

%/year

[Interest]/[Time period]. Economy and finance

Internal energy

kg.m2.s-2

J

Like energy and heat

Internal energy, molar

kg.m2.s-2.mol-1

J.mol-1

[Internal energy]/[Quantity]. Like molar heat

Internal energy, specific

m2.s-2

J.kg-1

[Internal energy]/[Mass]. Like specific heat

Ion mobility

kg-1.m-1.s2.A

m2.s-1.V-1

[Velocity]/[Electric field strength] .

Ionic force (strength)

m-3.mol

Sum([Concentration]*[Ionic quantum charge]2).

Ionic quantum charge

1

Dimensionless

[Ion charge]/[Elementary charge quantum]

Ionic strength (force)

m-3.mol

Sum([Concentration]*[Ionic quantum charge]2).

Ionization energy, molar

kg.m2.s-2.mol-1

J.mol-1

Energy to ionize a molecule/atom

Irradiance

kg.s-3

W.m-2

[Heat flux]/[Area]. Same as heat flux density

SI Dimensions of Physical Quantities: ‘J’ Alphabetic List

SI Dimensions: J
SI Dimensions: J

J:

Quantity

Dimension

Alternatives

Definition/Notes

Joule-Thomson coefficient

kg-1.m.s2.K

K.Pa-1

[ΔTemperature]/[ΔPressure]

SI Dimensions of Physical Quantities: ‘K’ Alphabetic List

SI Dimensions: K
SI Dimensions: K

K:

Quantity

Dimension

Alternatives

Definition/Notes

Katalytic activity

mol.s-1

katal

[ΔQuantity]/[Time]. Same as molar production rate

Kinematic viscosity

m2.s-1

[Dynamic viscosity]/[Density]

K-space vector | Reciprocal space position

m-1

SI Dimensions of Physical Quantities: ‘L’ Alphabetic List

SI Dimensions: L
SI Dimensions: L

L:

Quantity

Dimension

Alternatives

Definition/Notes

Lagrangian

kg.m2.s-2

J

[Force]*[Distance], [Power]*[Time]. Like energy

Laplace operator | Laplacian

m-2

2 = ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2

Length

m

m (meter)

Liability | Debt

cur

currency

Economy and finance

Linear stiffness

kg.s-2

N.m-1

[Force]/[Displacement]. ... of a structure

Logarithmic ratio logb(A/A’) in any base b

1

Applicable to any ratio of commensurable quantities

Logarithmic ratio ln(A/A’)

1

Np

Neper. Uses natural logarithm

Logarithmic ratio Log(P/P’)/10

1

dB (decibel)

Uses base-10 logarithm. Aplies only to power P

Logarithmic ratio Log(X/X’)/20

1

dB (decibel)

Aplies to voltages (X=V) and currents (X=I)

Logarithmic scale differential

1

Dimensionless

dQ/Q, d{ln(Q)}, for any quantity Q. Also relative differential

Logarithmic scale probability density

1

1/Np

[Probability]/[Natural-logarithmic ratio]

Loss of a device

1

Dimensionless

[Output]/[Input], like-quantities ratio. Often in dB

Luminance

cd.m-2

[Luminosity]/[Area]

Luminosity

cd

cd (candle)

Same as luminous intensity

Luminous coefficient

1

Dimensionless

[Luminous efficacy]/[683 lm/W]. Same as luminous efficiency

Luminous efficacy

cd.sr.kg-1.m-1.s3

lm/W

[Luminous flux]/[Power]

Luminous efficiency

1

Dimensionless

[Luminous efficacy]/[683 lm/W]. Same as luminous coefficient

Luminous emittance

cd.sr.m-2

lm.m-2, lx (lux)

[Luminous flux]/[Area]. Same as luminous exitance

Luminous energy

cd.sr.s

lm.s

[Luminous flux]*[Time]. Known as talbot

Luminous flux

cd.sr

lm (lumen)

[Luminosity]*[Solid angle]. Same as luminous power

Luminous intensity

cd

cd (candle)

Same as luminosity

Luminous power

cd.sr

lm (lumen)

[Luminosity]*[Solid angle]. Same as luminous flux

SI Dimensions of Physical Quantities: ‘M’ Alphabetic List

SI Dimensions: M
SI Dimensions: M

M:

Quantity

Dimension

Alternatives

Definition/Notes

Magnetic charge (bound)

m-2.A

- ∇.[Magnetization] , -Divergence of magnetization

Magnetic dipole moment

m2.A

J.T-1

[Current]*[Area]. Same as magnetic moment

Magnetic field gradient

kg.m-1.s-2.A-1

T.m-1

[ΔMag.flux density]/[Distance]

Magnetic field strength | Magnetic intensity

m-1.A

[Current]/[Distance]

Magnetic flux

kg.m2.s-2.A-1

V.s, W.s.A-1, Wb (weber)

[ΔPotential]*[Time], [Power]/[dCurrent/dt]

Magnetic flux density | Magnetic induction

kg.s-2.A-1

Wb.m-2, T (tesla)

[Mag.flux]/[Area]

Magnetic induction

kg.s-2.A-1

Wb.m-2, T (tesla)

[Mag.flux]/[Area]. More properly magnetic flux density

Magnetic intensity

m-1.A

[Current]/[Distance]. More properly magnetic field strength

Magnetic moment

m2.A

J.T-1

[Current]*[Area]

Magnetic permeability

kg.m.s-2.A-2

H.m-1

[Mag.flux density]/[Mag.field strength]

Magnetic permeability, relative

1

Dimensionless

[Permeability]/[Permeability of vacuum]

Magnetic quadrupole moment

m3.A

m.J.T-1

[Mag.dipole]*[Distance]

Magnetic susceptibility

1

Dimensionless

[Relative permeability]-1

Magnetic vector potential

kg.m.s-2.A-1

m-1.s.V, m.T

[Mag.flux density]*[Distance], [El.field strength]*[Time]

Magnetization

m-1.A

[Mag.moment]/[Volume]. Like magnetic field strength

Magnetogyric ratio

kg.s-1.A-1

T.Hz-1

[Angular moment of motion]/[Mag.moment]

Magnetomotive force (mmf)

A

[Current]*[Number of turns]

Magnitude of a star

1

Dimensionless

m-m’=-100.4(S/S’), where S,S’ are the luminous fluxes of two stars

Mass

kg

kg (kilogram)

Mass density

kg.m-3

[Mass]/[Volume]. Same as specific density

Mass density gradient | Specific density gradient

kg.m-4

[Mass density]/[Distance]

Mass concentration

1

Dimensionless

[Partial mass]/[Total mass]

Mass flow (total)

kg.s-1

kg

[ΔMass]/[Time]. For example, through a device

Mass production rate

kg.s-1

[ΔMass]/[Time]. Same as mass flow

Mass, molar

kg.mol-1

[Mass]/[Quantity]

Mass number of an isotope

1

Dimensionless

Number of protons+neutrons in the isotope nuclide

Mean anomaly

1

Dimensionless

Of a body on a Kepler orbit; t.sqrt(G(M1+M2)/r3)

Mean motion

s-1

Of a body on a Kepler orbit; sqrt(G(M1+M2)/r3)

Modulus of compression

kg-1.m.s2

Pa-1

[Pressure]/([ΔVolume]/[Volume]). Same as compressibility

Modulus of rigidity

kg.m-1.s-2

N.m-2, Pa

[Stress]/[Strain]. Same as shear modulus

Mobility, ionic

kg-1.m-1.s2.A

m2.s-1.V-1

[Velocity]/[Electric field strength] .

Molality (intended as concentration)

kg-1.mol

mol/kg

[Quantity]/[Mass]

Molar charge

s.A.mol-1

C.mol-1

[Charge]/[Quantity]

Molar concentration

m-3.mol

[Quantity]/[Volume]. Same as concentration or molarity

Molar concentration gradient

m-4.mol

[Molarity]/[Distance]. Same as molarity gradient

Molar concentration ratio

1

Dimensionless

[Partial quantity]/[Total quantity]

Molar conductivity, electric

kg-1.m-3.s3.A2.mol-1

S.m-1.mol-1

[El.conductivity]/[Concentration]

Molar density

m-3.mol

[Quantity]/[Volume]. Same as concentration

Molar energy

kg.m2.s-2.mol-1

J.mol-1

[Energy]/[Quantity]

Molar enthalpy

kg.m2.s-2.mol-1

J.mol-1

[Enthalpy]/[Quantity]. Like molar heat

Molar entropy

kg.m2.s-2.K-1.mol-1

J.K-1.mol-1

[Entropy]/[Quantity]

Molar free energy

kg.m2.s-2.mol-1

J.mol-1

[Free energy]/[Quantity]. Also molar Helmholtz function

Molar free enthalpy

kg.m2.s-2.mol-1

J.mol-1

[Free enthalpy]/[Quantity]. Also molar Gibbs function

Molar heat

kg.m2.s-2.mol-1

J.mol-1

[Heat]/[Quantity]

Molar heat capacity

kg.m2.s-2.K-1.mol-1

J.K-1.mol-1

[Heat capacity]/[Quantity]

Molar internal energy

kg.m2.s-2.mol-1

J.mol-1

[Internal energy]/[Quantity]. Like molar heat

Molar mass

kg.mol-1

[Mass]/[Quantity]

Molar particle count

mol-1

[Count]/[Mol]. For example, the Avogadro constant

Molar production rate

mol.s-1

[ΔQuantity]/[Time].

Molar refractivity

m3.mol-1

[(r2-1)/(r2+2)]/[Concentration], where r is the refractive index

Molar relaxivity

s-1.mol-1

[Relaxation rate]/[Concentration]

Molar solubility

m-3.mol

[Quantity]/[Volume]. Same as concentration

Molar volume

m3.mol-1

[Volume]/[Quantity]

Molarity

m-3.mol

[Quantity]/[Volume]. Same as concentration or molar density

Molarity gradient

m-4.mol

[Molarity]/[Distance]. Same as concentration gradient

Molecular quantum charge

1

Dimensionless

[Charge of a molecule]/[Elementary charge quantum]

Moment of force

kg.m2.s-2

N.m

[Force]*[Distance]

Moment of motion

kg.m.s-1

[Mass]*[Velocity], [Mass flow]*[Distance]

Multiple derivatives with respect to time

s-p

dp/dtp, ∂p/∂tp; for p = 1,2,3,..

Multiple derivatives with respect to a length

m-p

dp/drp, ∂p/∂rp; for p = 1,2,3,..., r = x | y | z

Mutual inductance

kg.m2.s-2.A-2

V.s.A-1, Wb.A-1, H (henry)

[ΔPotential]/[dCurrent/dt], [Mag.flux]/[Current]

SI Dimensions of Physical Quantities: ‘N’ Alphabetic List

SI Dimensions: N
SI Dimensions: N

N:

Quantity

Dimension

Alternatives

Definition/Notes

Nabla ( ∇ ) | div | grad | rot | curl

m-1

Any derivative-like construct with respect to a distance

Notch resistance

kg.s-2

J.m-2

[Energy]/[Area]

Number of instances / events

1

This covers all kinds of enumerations

Number density

m-3

[Particles]/[Volume]. Obsolete; see particle density

Number of turns

1

Often used in electric engineering

SI Dimensions of Physical Quantities: ‘O’ Alphabetic List

SI Dimensions: O
SI Dimensions: O

O:

Quantity

Dimension

Alternatives

Definition/Notes

Osmotic pressure

kg.m-1.s-2

Pa

SI Dimensions of Physical Quantities: ‘P’ Alphabetic List

SI Dimensions: P
SI Dimensions: P

P:

Quantity

Dimension

Alternatives

Definition/Notes

Particle count, molar

mol-1

[Count]/[Mol]. For example, the Avogadro constant

Particle density

m-3

[Count]/[Volume]. Obsolete: number density

P/E Price/Earnings ratio

s

year

[Value]/[Earnings]. Economy and finance

Peltier coefficient

kg.m2.s-3.A-1

W.A-1, V

[Heat flux]/[Current]

Perimeter | Circumference

m

Permeability, magnetic

kg.m.s-2.A-2

H.m-1

[Mag.flux density]/[Mag.field strength]

Permeability, hydraulic

m2

1 darcy = 10-12 m2

[Velocity]*[Viscosity]/[Pressure gradient], in porous media

Permittivity, electric

kg-1.m-3.s4.A2

F.m-1

[El.flux density]/[El.field strength]

Permittivity, relative

1

Dimensionless

[Permittivity]/[Permittivity of vacuum]. Dielectric constant

Phase | Phase angle

1

rad

φ typically in exp(i(ωt+φ))

Phase drift rate

s-1

rad.s-1

[Phase angle]/[Time]

Pi coefficient, molar

kg.m-1.s-2.mol-1

J.m-3

[ΔInternalEnergy]/[ΔVolume]

Piezzoelectric coefficient

kg.m.s-3.A-1

V.m-1

[Electric field strength]/([ΔLength]/[Length])

Plane angle

1

rad

Poisson’s ratio

1

Dimensionless

[Transversal striction]/[Londitudinal elongation]

Polarization, electric

m-2.s.A

C.m-2

[Charge]/[Area]. Like electric flux density

Porosity, superficial

1

Dimensionless

[Void cross section]/[Total cross section], in porous media

Porosity, volume

1

Dimensionless

[Pores volume]/[Total volume], in porous media

Position vector

m

in all Euclidean n-dimensional spaces

Potential, electric

kg.m2.s-3.A-1

W.A-1, J.C-1, V (volt)

[Power]/[Current], [Energy]/[Charge]

Power

kg.m2.s-3

J.s-1, W (watt)

[ΔEnergy]/[ΔTime]. Equivalent to energy flux

Prandtl number

1

Dimensionless

[Kinematic viscosity]/[Thermal diffusivity]

Propagation loss

m-1

dB/m

[Ratio]/m. Generic, usable for any quantity

Poynting vector

kg.s-3

W.m-2

[El.field strength]/[Mag.field strength]. Like irradiance

Pressure

kg.m-1.s-2

N.m-2, Pa (pascal)

[Force]/[Area]

Pressure gradient

kg.m-2.s-2

N.m-3, Pa/m

[Pressure]/[Distance]

Price | Value

cur

currency

Economy and finance

Probability of an event

1

Real number in a dimensionless interval [0,1]

Probability density on log-scale

1

Np-1

[Probability]/[Natural-logarithmic ratio]

Purchase | Transaction value

cur

currency

Economy and finance

SI Dimensions of Physical Quantities: ‘R’ Alphabetic List

SI Dimensions: R
SI Dimensions: R

R:

Quantity

Dimension

Alternatives

Definition/Notes

Radiance

kg.s-3.sr-1

W.m-2.sr-1

([Power]/[Area])/[Solid angle]

Radiation dose

m2.s-2

J.kg-1, Gy (gray)

[Energy]/[Mass]

Radiation dose rate

m2.s-3

Gy.s-1

[Absorbed dose]/[Time]

Radioactivity

s-1

Bq (becquerel)

[Counts]/[Time]

Radius of curvature

m

of a line in plane/space or surface in space

Rotational stiffness

kg.m2.s-2.rad-1

N.m.rad-1

[Moment of force]/[Angle]. ... of a structure

Ratio of commensurable quantities

1

Dimensionless

Q1/Q2, with Q1 and Q2 having the same dimension

Reactance, acoustic

kg.m-4.s-1

Pa.s/m3, reyl/m2

[ΔPressure]/[Volume flow rate]. Also acu. impedance / resistance

Reactance, acoustic, specific

kg.m-2.s-1

Pa.s/m , reyl

[ΔPressure]*[Velocity]. Also s.acu. impedance / resistance

Reactance, capacitive

kg.m2.s-3.A-2

Ω (ohm)

1/(i[Angular frequency].[Capacitance])

Reciprocal space position | K-space vector

m-1

Redox potential

kg.m2.s-3.A-1

V (volt)

Same as reduction potential

Reduction potential

kg.m2.s-3.A-1

V (volt)

Same as redox potential

Refractive index

1

Dimensionless

Light speeds ration (in a medium)/(in vacuum)

Refractivity, molar

m3.mol-1

[(r2-1)/(r2+2)]/[Concentration]

Refractivity, specific

m3.kg-1

[(r2-1)/(r2+2)]/[Specific density],

Relative atomic mass | Atomic weight

au

atomic units

Average over a typical isotopic composition

Relative differential

1

Dimensionless

dQ/Q, d{ln(Q)}, for any quantity Q. Also log-scale differential

Relative evolution rate

s-1

d{ln(Q)}/dt = (dQ/dt)/Q. Also log-scale evolution rate

Relative permeability, magnetic

1

Dimensionless

[Permeability]/[Permeability of vacuum]

Relative permittivity, electric

1

Dimensionless

[Permittivity]/[Permittivity of vacuum]. Dielectric constant

Relative variation

1

Dimensionless

ΔQ/Q, for any quantity Q

Relativistic displacement four-tensor (Dμν)

m-1.A

Like magnetic intensity

Relativistic electromagnetic field tensor (Fμν)

kg.s-2.A-1

T

Like magnetic flux density

Relativistic four-current (Jα)

m-2.A

Like current density and [Charge]*[c]

Relativistic four-potential (Aα)

kg.m.s-2.A-1

m-1.s.V, m.T

Like magnetic vector potential and [El.potential]/[c]

Relaxation rate

s-1

1/[Relaxation time]. Used for returns to equilibria

Relaxation time

s

Used for returns to equilibria

Relaxivity, molar

s-1.mol-1

[Relaxation rate]/[Concentration]

Reluctance, magnetic

kg-1.m-1.s2.A2

m.H-1

1/[Permeability]

Resistance, acoustic

kg.m-4.s-1

Pa.s/m3, reyl/m2

[ΔPressure]/[Volume flow rate]. Also acu. impedance / reactance

Resistance, acoustic, specific

kg.m-2.s-1

Pa.s/m , reyl

[ΔPressure]*[Velocity]. Also s.acu. impedance / reactance

Resistance, electric

kg.m2.s-3.A-2

V.A-1, Ω (ohm)

[ΔPotential]/[Current]

Resistance, thermal

kg-1.m-2.s3K

K/W

of a device. [ΔT]/[Power].

Resistance to impact

kg.s-2

J.m-2

[Energy]/[Area]. Like notch resistance

Resistivity, electric

kg.m3.s-3.A-2

Ω.m

([Resistance]*[Length])/[Area]

Return on asset / equity

s-1

%/year

([ΔValue]/[Value])/[Time period]. Economy and finance

Reynolds number

1

Dimensionless

[Velocity]*[length]/[Kinematic viscosity]

RF attenuation

m-1

dB/m

[Ratio]/m. Used mostly for radiation

SI Dimensions of Physical Quantities: ‘S’ Alphabetic List

SI Dimensions: S
SI Dimensions: S

S:

Quantity

Dimension

Alternatives

Definition/Notes

Sale | Transaction value

cur

currency

Economy and finance

Sales flow | Transactions volume

cur.s-1

[Value]/[Time period]. Economy and Finance

Seeback coefficient

kg.m2.s-3.A-1.K-1

V.K-1

[ΔPotential]/[ΔTemperature]. Same as thermoelectric power

Self-diffusion coefficient

m2.s-1

[Distance2]/[Time]

Settling rate

s-1

typically dB/s

[Ratio]/[ΔTime]

Settling time

s

typically dB/s

Used to describe transient phenomena

Shear modulus

kg.m-1.s-2

N.m-2, Pa

[Stress]/[Strain]. Like Young modulus

Softening point

K

Temperature at which hardness drops below a level

Solid angle

1

sr (steradian)

Solubility, molar

m-3.mol

[Quantity]/[Volume]. Same as concentration

Sonic attenuation

m-1

dB/m

[Power ratio]/m. Used in acoustics

Specific acoustic impedance

kg.m-2.s-1

Pa.s/m , reyl

[ΔPressure]*[Velocity]. Also s.acu. resistance / reactance

Specific acoustic conductance

kg-1.m2.s

reyl-1

Also specific acoustic susceptance

Specific charge

kg-1.s.A

C.kg-1

[Charge]/[Mass]. Charge/mass ratio

Specific density

kg.m-3

[Mass]/[Volume]. Same as density of mass

Specific density gradient

kg.m-4

[Mass density]/[Distance]. Same as mass density gradient

Specific energy

m2.s-2

J.kg-1

[Energy]/[Mass]

Specific enthalpy

m2.s-2

J.kg-1

[Enthalpy]/[Mass]. Like specific heat

Specific entropy

m2.s-2.K-1

J.K-1.kg-1

[Entropy]/[Mass]

Specific free energy

m2.s-2

J.kg-1

[Free energy]/[Mass]. Also specific Helmholtz function

Specific free enthalpy

m2.s-2

J.kg-1

[Free enthalpy]/[Mass]. Also specific Gibbs function

Specific heat

m2.s-2

J.kg-1

[Heat]/[Mass]

Specific heat capacity

m2.s-2.K-1

J.K-1.kg-1

[Heat capacity]/[Mass]

Specific internal energy

m2.s-2

J.kg-1

[Internal energy]/[Mass]. Like specific heat

Specific refractivity

m3.kg-1

[(r2-1)/(r2+2)]/[Specific density]

Specific volume

m3.kg-1

[Volume]/[Mass]

Speed

m.s-1

[Distance]/[Time]. Same as velocity

Spin

1

Dimensionless

of a quantum particle

Star magnitude

1

Dimensionless

m-m’ = -100.4(S/S’), where S,S’ are luminous fluxes of two stars

Stiffness, linear

kg.s-2

N.m-1

[Force]/[Displacement]. ... of a structure

Stiffness, rotational

kg.m2.s-2.rad-1

N.m.rad-1

[Moment of force]/[Angle]. ... of a structure

Strain (mechanical)

1

Dimensionless

[ΔLength]/[Length] Relative deformation

Strain point

K

Temperature at which viscosity drops below 1013.5 Pa.s

Strength, compressive

kg.m-1.s-2

N.m-2, Pa

[Force]/[Area]. Like pressure

Strength, dielectric

kg.m.s-3.A-1

V.m-1

[ΔPotential]/[Distance]. Same as electric strength

Strength, electric field | Electric intensity

kg.m.s-3.A-1

V.m-1

[ΔPotential]/[Distance]

Strength, ionic

m-3.mol

Sum([Concentration]*[Ionic quantum charge]2).

Strength, magnetic field | Magnetic intensity

m-1.A

[Current]/[Distance]

Strength, tensile

kg.m-1.s-2

N.m-2, Pa

[Force]/[Area]. Same as pressure

Superficial porosity

1

Dimensionless

[Void cross section]/[Total cross section], in porous media

Superficial velocity

m.s-1

m/s

In porous media; as if the space was filled only by the fluid

Surface area

m2

[Distance]*[Distance]. Applicable to 3D bodies

Surface density of charge

m-2.s.A

C.m-2

[Charge]/[Area]

Surface element

m2

[Distance]*[Distance]. Same as area

Surface energy

kg.s-2

J/m2

[Energy]/[Area]. Same as surface tension

Surface growth rate

m2.s-1

[ΔArea]/[Time]

Surface tension

kg.s-2

N/m

[Force]/[Length]. Same as surface energy

Susceptance, acoustic, specific

kg-1.m2.s

reyl-1

Also specific acoustic conductance

Susceptance, capacitive

kg-1.m-2.s3.A2

S (siemens)

1/[Reactance]

Susceptibility, magnetic

1

Dimensionless

[Relative permeability]-1

Stress

kg.m-1.s-2

Pa, N.m-2

[Force]/[Area]. Same as pressure

SI Dimensions of Physical Quantities: ‘T’ Alphabetic List

SI Dimensions: T
SI Dimensions: T

T:

Quantity

Dimension

Alternatives

Definition/Notes

Temperature

K

K (kelvin)

Temperature gradient

K.m-1

[ΔTemperature]/[Distance]. Same as thermal gradient

Tensile strength

kg.m-1.s-2

N.m-2, Pa

[Force]/[Area]. Same as pressure

Tension

kg.m-1.s-2

Pa, N.m-2

[Force]/[Area]. Like pressure

Thermal conductivity

kg.m.s-3.K-1

W.m-1.K-1

[Heat flux]/([Distance]*[ΔTemperature]). Same as heat conductivity

Thermal diffusivity

m2.s-1

([∂Temperatute]/[∂Time])/[∇2Temperature].

Thermal expansion coefficient

K-1

([ΔLength]/[Length])/[Temperature]

Thermal gradient

K.m-1

[ΔTemperature]/[Distance]. Same as temperature gradient

Thermal resistance

kg-1.m-2.s3K

K/W

of a device. [ΔT]/[Power].

Thermodynamic force

kg.m.s-2.mol-1

N/mol

[ΔChemical potential]/[Distance]

Thermoelectric power | Thermopower

kg.m2.s-3.A-1.K-1

V.K-1

[ΔPotential]/[ΔTemperature]. Same as Seeback coefficient

Thickness

m

usually referred to planar structures

Thomson coefficient

kg.m2.s-3.A-1.K-1

W.K-1.A-1

[Heat flux]/([ΔTemperature]*[Current])

Time

s

s (second)

Torque | Moment of force

kg.m2.s-2

N.m

[Force]*[Distance]

Traction

kg.m.s-2

N (newton)

Maximum tangential force before slipping

Traction coefficient

1

Dimensionless

[Traction]/[Weight]

Transaction value | Sale | Purchase

cur

currency

Economy and finance

Transactions count

1

Dimensionless

Economy and finance

Transactions rate | Activity

s-1

1/year

[Transactions]/[Time period]. Economy and finance

Transactions volume | Sales flow

cur.s-1

[Value]/[Time period]. Economy and Finance

Transmission loss

m-1

dB/m

[Ratio]/m. Generic, usable for any quantity

SI Dimensions of Physical Quantities: ‘v’ Alphabetic List

SI Dimensions: V
SI Dimensions: W

V:

Quantity

Dimension

Alternatives

Definition/Notes

V-number | Abbé number | Constringence

1

Dimensionless

VD = (nD-1)/(nF-nC)

Value | Price

cur

currency

Economy and finance

van der Waals constant: a

kg.m5.s-2.mol-2

Pa.m6

a in (p+a/V2)(V-b)=RT, where V is molar volume

van der Waals constant: b

m3.mol-1

b in (p+a/V2)(V-b)=RT, where V is molar volume

Variance of current noise nJ2

s.A2

A2/Hz

[Current]2/[Bandwidth]

Variance of voltage noise nV2

kg2.m4.s-5.A-2

V2/Hz

[Voltage]2/[Bandwidth]

Vector potential, magnetic

kg.m.s-2.A-1

m-1.s.V, m.T

[Mag.flux density]*[Distance], [El.field strength]*[Time]

Velocity

m.s-1

m/s

[Distance]/[Time]. Same as speed

Velocity, advection

m.s-1

m/s

In porous media; actual progress along pressure gradient

Velocity, of money (circulation)

s-1

1/year

[Transactions]/[Time period]. Economy and finance

Velocity, superficial

m.s-1

m/s

In porous media; as if the space was filled only by the fluid

Verdet constant

kg-1.m-1.s2.A1

rad.m-1.T-1

([Angle]/[Length])/[Magnetic flux density]

Virial coefficient: second

m3.mol-1

B in pV/(nRT)=1+B(n/V)+C(n/V)2+D(n/V)3+...

Virial coefficient: third

m6.mol-2

C in pV/(nRT)=1+B(n/V)+C(n/V)2+D(n/V)3+...

Virial coefficient: fourth

m9.mol-3

C in pV/(nRT)=1+B(n/V)+C(n/V)2+D(n/V)3+...

Viscosity, dynamic

kg.m-1.s-1

Pa.s

([Force]/[Area])/[ΔVelocity]

Viscosity, kinematic

m2.s-1

[Dynamic viscosity]/[Density]

Voltage | Electromotive force

kg.m2.s-3.A-1

V

[ΔPotential]

Voltage noise, variance nV2

kg2.m4.s-5.A-2

V2/Hz

[Voltage]2/[Bandwidth]

Volume

m3

[Area]*[Distance]

Volume concentration

1

Dimensionless

[Partial volume]/[Total volume]

Volume flow

m3.s-1

[Volume]/[Time]. For example, through a device

Volume growth rate

m3.s-1

[Volume]/[Time]. For example, of a crystal

Volume porosity

1

Dimensionless

[Pores volume]/[Total volume], in porous media

SI Dimensions of Physical Quantities: ‘W’ Alphabetic List

SI Dimensions: W
SI Dimensions: W

W:

Quantity

Dimension

Alternatives

Definition/Notes

Wave function for N particles (quantum)

m-3N/2

tentative

|ψ|2N is a dimensionless probability element.

Wavelength

m

[Wave velocity]/[Frequency]

Wavenumber

m-1

[Number of waves]/[Distance]

Wealth | Asset

cur

currency

Economy and finance

Work function

kg.m2.s-2

J, eV

[Energy] needed to remove an electron

SI Dimensions of Physical Quantities: ‘Y’ Alphabetic List

SI Dimensions: W
SI Dimensions: W

Y:

Quantity

Dimension

Alternatives

Definition/Notes

Young modulus

kg.m-1.s-2

N.m-2, Pa

[Stress]/[Strain]. Like shear modulus

Developed by: