SI Dimensions of Physical Quantities: Alphabetic List for IAS

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SI Dimensions of Physical Quantities: ‘A’ Alphabetic List

SI Dimensions: A
A:
QuantityDimensionAlternativesDefinition/Notes
Abbé number | Constringence | V-number1DimensionlessVD = (nD-1) / (nF-nC)
Absorbed radiation dosem2. s-2J. kg-1, Gy (gray)[Energy] / [Mass]
Absorbed dose ratem2. s-3Gy. s-1[Absorbed dose] / [Time]
Acceleration, angulars-2rad. s-2[ΔAngular velocity] / [ΔTime]
Acceleration|Decelerationm. s-2[ΔVelocity] / [ΔTime]
Acoustic impedance/resistance/reactancekg. m-4. s-1Pa. s/m3, reyl/m2[Pressure] / [Volume flow rate]
Acoustic impedance, specifickg. m-2. s-1Pa. s/m , reyl[ΔPressure] ⚹ [Velocity] . Also s. acu. resistance/reactance
Acoustic conductance, specifickg-1. m2. sreyl-1Inverse of s. acu. impedance. Also s. acu. susceptance
Actionkg. m2. s-1J. s[Energy] ⚹ [Time] , [Moment of motion] ⚹ [Distance]
Activity of a radioactive sources-1Bq (becquerel)[Counts] / [Time]
Activity, katalyticmol. s-1katal[ΔQuantity] / [Time] . Same as molar production rate
Activity, transactions rates-11/year[Transactions] / [Time period] . Economy and finance
Admittance, inductivekg-1. m-2. s3. A2S (siemens)1/ [Inductive impedance]
Admittance, of a circuitkg-1. m-2. s3. A2S (siemens)1/ [Circuit impedance]
Advection velocitym. s-1m/sIn porous media; actual progress along pressure gradient
Albedo, of a surface1Dimensionless[Reflected elmag power] / [Incident elmag power]
Amplification|Attenuation (generic)1usually in dB[Quantity (p) ] / [Quantity (p ′ ) ] , with p being some parameter
Angular accelerations-2rad. s-2[ΔAngular velocity] / [ΔTime]
Angular moment of inertiakg. m2[Mass] ⚹ [Distance2]
Angular moment of motionkg. m2. s-1J. s[Moment of motion] ⚹ [Distance] . Like [action]
Angular velocitys-1rad. s-1[ΔPlane angle] / [ΔTime]
Annealing pointKTemperature at which viscosity drops below 1012 Pa. s
Aream2[Distance] ⚹ [Distance]
Area growth ratem2. s-1[ΔArea] / [Time]
Asset|WealthcurcurrencyEconomy and finance
Atomic number1DimensionlessNumber of protons in an atomic nucleus
Atomic weight | Relative atomic massauatomic unitsAverage over a typical isotopic composition
Attenuation|Amplification (generic)1usually in dB[Quantity (p) ] / [Quantity (p ′ ) ] , with p being some parameter
Attenuation/amplification over a distancem-1dB/m[Attenuation] / [Distance] . Mostly in acoustic and electronics
Attenuation/amplification over a periods-1dB/s[Attenuation] / [Time] . Mostly in acoustic and electronics

SI Dimensions of Physical Quantities: ‘B’ Alphabetic List

SI Dimensions: B
B:
QuantityDimensionAlternativesDefinition/Notes
Bandwidths-1Hz[ΔFrequency]
Baud rate | Information fluxbit. s-1baud[Information] / [Time]
Bond durationsyearEconomy and finance
Bulk moduluskg. m-1. s-2N. m-2, Pa( [ΔVolume] / [Volume] ) / [Pressure] . Inverse of compressibility

SI Dimensions of Physical Quantities: ‘C’ Alphabetic List

SI Dimensions: C
C:
QuantityDimensionAlternativesDefinition/Notes
Capacitance, electrickg-1. m-2. s4. A2C. V-1, F (farad)[Charge] / [ΔPotential]
Capacitive reactancekg. m2. s-3. A-2Ω (ohm)1/ (i [Angular frequency] . [Capacitance] )
Capacitive susceptancekg-1. m-2. s3. A2S (siemens)1/ [Capacitive reactance]
Cash flowcur. s-1currency/year[Value] / [ΔTime] . Economy and finance
Circulationm2. s-1J. s. kg-1[Angular moment] / [Mass] , [Velocity] ⚹ [Loop length]
Characteristic impedancekg. m2. s-3. A-2V. A-1, Ω, ohm√ ( [Mag. Permeability] / [El. Permittivity] )
Charge, electrics . AC (coulomb)[Current] ⚹ [Time]
Charge, magnetic (bound)m-2. A- ∇ . [Magnetization] , -Divergence of magnetization
Charge, quantum1Dimensionless[Charge] / [Elementary charge quantum]
Charge, molecular/ionic, quantum1Dimensionless[Charge of a molecule or ion] / [Elementary charge quantum]
Charge densitym-3. s. AC. m-3[Charge] / [Volume]
Charge/mass ratio | Specific chargekg-1. s. AC. kg-1[Charge] / [Mass]
Charge, molars. A. mol-1C. mol-1[Charge] / [Quantity]
Chemical potential, molarkg. m2. s-2. mol-1J. mol-1[ΔInternalEnergy] / [ΔQuantity]
Circuit admittancekg-1. m-2. s3. A2S (siemens)1/ [Circuit impedance]
Circuit impedancekg. m2. s-3. A-2Ω (ohm)
Circulation/velocity of moneys-11/year[Transactions] / [Time period] . Economy and finance
Circumference|Perimeterm
Collision cross section | Cross sectionm2[Distance] ⚹ [Distance]
Compressibilitykg-1. m. s2Pa-1[Pressure] / ( [ΔVolume] / [Volume] ) . Inverse of bulk modulus
Compressionkg. m-1. s-2N. m-2, Pa (pascal)[Force] / [Area] . Same as pressure
Compression factor of a real gas1DimensionlesspV/ (nRT) . For ideal gas equals 1; temperature dependent
Compressive strengthkg. m-1. s-2N. m-2, Pa[Force] / [Area] . Like pressure
Concentration, molarm-3. mol[Quantity] / [Volume] . Same as molar density
Concentration gradient, molarm-4. mol[Molarity] / [Distance] . Same as molarity gradient
Concentration ratio, molar1Dimensionless[Partial quantity] / [Total quantity]
Concentration ratio, by mass1Dimensionless[Partial mass] / [Total mass]
Concentration ratio, by volume1Dimensionless[Partial volume] / [Total volume] . .
Concentration, by weight (obsolete)1Dimensionless[Partial mass] / [Total mass] . Obsolete: use by mass
Conductance, electrickg-1. m-2. s3. A2A. V-1, S (siemens)1/ [Resistance]
Conductivity, electrickg-1. m-3. s3. A2S. m-11/ [Resistivity]
Conductivity, hydraulicm. s-1m/sUsed for porous media
Conductivity, molarkg-1. s3. A2. mol-1S. m2. mol-1[El. conductivity] / [Concentration]
Conductivity, thermalkg. m. s-3. K-1W. m-1. K-1[Heat flux] / ( [Distance] ⚹ [ΔTemperature] )
Constringence | Abbé number | V-number1DimensionlessVD = (nD-1) / (nF-nC)
Convergencem-1dioptryin optics, but not only
Cosmological constant Λm-2Present in Einstein՚s equation
Cosmological expansion rates-1km/s/Mpc[Velocity] / [Distance] . Mpc stands for Megaparsec
Count of events/instances1This covers all kinds of enumerations
Count rates-1[Counts] / [Time]
Couplekg. m2. s-2N. m2 ⚹ [Force] ⚹ [Distance] for two non-aligned opposing forces
Critical angle of reposerador degreeSteepest angle of a slope before a slide
Cross sectionm2[Distance] ⚹ [Distance]
Cryoscopic constantkg. mol-1. KK/ (mol/kg)[ΔTemperature] / [Molality]
Current, electricAA (ampere)
Current density, electricm-2. A[Current] / [Area] . Same as current intensity
Current intensity, electricm-2. A[Current] / [Area] . Same as current density
Current noise, variance nJ2s. A2A2/Hz[Current] 2/ [Bandwidth]
Curvaturem-11/ [Curvature radius]
Curvature radiusmof a line in plane/space or surface in space

SI Dimensions of Physical Quantities: ‘D’ Alphabetic List

SI Dimensions: D
D:
QuantityDimensionAlternativesDefinition/Notes
D ‘Alembert operator | D’ Alembertianm-2(1/c2)2/ ∂ t2 - ∂ 2/ ∂ x2 - ∂ 2/ ∂ y2 - ∂ 2/ ∂ z2
Debt|LiabilitycurcurrencyEconomy and finance
Debt/GDP ratiosyear[Debt] / [Earnings] . Economy and finance
Deceleration|Accelerationm. s-2[ΔVelocity] / [ΔTime]
Deceleration, angulars-2rad. s-2[ΔAngular velocity] / [ΔTime]
Density of electric chargem-3. s. AC. m-3[Charge] / [Volume]
Density of electric currentm-2. A[Current] / [Area] . Same as current intensity
Density of energykg. m-1. s-2J. m-3[Energy] / [Volume]
Density of masskg. m-3[Mass] / [Volume] . Same as specific density
Density of mass, gradient ofkg. m-4[Mass density] / [Distance] . Same as specific density gradient
Density of particlesm-3[Count] / [Volume] . Obsolete: number density
Density of substancem-3. mol[Quantity] / [Volume] . Same as molar concentration
Derivative with respect to times-1d/dt, ∂ / ∂ t
Derivative with respect to a lengthm-1d/dr, ∂ / ∂ r, r = x|y | z
Dielectric constant | Relative permittivity1Dimensionless[Permittivity] / [Permittivity of vacuum]
Dielectric strength/rigidity | Electric strengthkg. m. s-3. A-1V. m-1[ΔPotential] / [Distance]
Diffusion coefficientm2. s-1[Distance] 2/ [Time]
Diffusivity, thermalm2. s-1( [∂ Temperatute] / [∂ Time] ) / [∇ 2Temperature] .
Dipole moment, electricm. s. AC. m[Charge] ⚹ [Distance]
Dipole moment, magneticm2. AJ. T-1[Current] ⚹ [Area]
Dispersive power1DimensionlessRatio of differences of refractive indices
Dispersivity quotientm-1[ΔRefractive index] / [ΔWavelength]
Displacement, electricm-2. s. AC. m-2[Charge] / [Area] . Same as electric flux density
Displacement four-tensor (relativistic Dμν)m-1. ALike magnetic intensity
Distancemin all Euclidean n-dimensional spaces
Dose of absorbed radiationm2. s-2J. kg-1, Gy (gray)[Energy] / [Mass]
Dose ratem2. s-3Gy. s-1[Absorbed dose] / [Time]
Drift speedm. s-1Steady-state speed of an object. .
Durationss (second)
Dynamic viscositykg. m-1. s-1Pa. s( [Force] / [Area] ) / [ΔVelocity]

SI Dimensions of Physical Quantities: ‘E’ Alphabetic List

SI Dimensions: E
E:
QuantityDimensionAlternativesDefinition/Notes
Earnings|Income ratecur. s-1currency/year[Value] / [Time period] . Economy and finance
Ebullioscopic constantkg. mol-1. KK/ (mol/kg)[ΔTemperature] / [Molality]
Electric capacitancekg-1. m-2. s4. A2C. V-1, F (farad)[Charge] / [ΔPotential]
Electric charges . AC (coulomb)[Current] ⚹ [Time]
Electric conductancekg-1. m-2. s3. A2A. V-1, S (siemens)[Current] / [ΔPotential] . Inverse of resistance
Electric conductivitykg-1. m-3. s3. A2S. m-11/ [Resistivity]
Electric conductivity, molarkg-1. s3. A2. mol-1S. m2. mol-1[El. conductivity] / [Concentration]
Electric currentAA (ampere)
Electric dipole momentm. s. AC. m[Charge] ⚹ [Distance]
Electric displacementm-2. s. AC. m-2[Charge] / [Area] . Same as electric flux density
Electric field strength | Electric intensitykg. m. s-3. A-1V. m-1[ΔPotential] / [Distance]
Electric field gradientkg. s-3. A-1V. m-2[ΔEl. field strength] / [Distance]
Electric flux density | Electric inductionm-2. s. AC. m-2[Charge] / [Area]
Electric inductancekg. m2. s-2. A-2V. s. A-1, H (henry)[ΔPotential] / [dCurrent/dt]
Electric inductionm-2. s. AC. m-2[Charge] / [Area] . More properly electric flux density
Electric intensitykg. m. s-3. A-1V. m-1[ΔPotential] / [Distance] . More properly electric field strength
Electric permittivitykg-1. m-3. s4. A2F. m-1[El. flux density] / [El. field strength]
Electric permittivity, relative1Dimensionless[Permittivity] / [Permittivity of vacuum] . Same as dielectric constant
Electric polarizationm-2. s. AC. m-2[Charge] / [Area] . Like electric flux density
Electric potentialkg. m2. s-3. A-1W. A-1, J. C-1, V (volt)[Power] / [Current] , [Energy] / [Charge]
Electric quadrupole momentm2. s. AC. m2[Electric dipole] ⚹ [Distance] , [Electric charge] ⚹ [Distance2]
Electric resistancekg. m2. s-3. A-2V. A-1, Ω (ohm)[ΔPotential] / [Current]
Electric resistivitykg. m3. s-3. A-2Ω. m( [Resistance] ⚹ [Length] ) / [Area]
Electric strength | Dielectric strengthkg. m. s-3. A-1V. m-1[ΔPotential] / [Distance] . .
Electromagnetic field tensor (relativistic Fμν)kg. s-2. A-1TLike magnetic flux density
Electromagnetic displacement (relat. Dμν)m-1. ALike magnetic intensity
Electromagnetic four-current (relativistic Jα)m-2. ALike current density and [Charge] ⚹ [c]
Electromagnetic four-potential (relativistic Aα)kg. m. s-2. A-1m-1. s. V, m. TLike magnetic vector potential and [El. potential] / [c]
Electromotive force (emf)kg. m2. s-3. A-1V[ΔPotential]
Electron affinity (always molar)kg. m2. s-2. mol-1J. mol-1Energy released binding an electron
Electronegativity, Pauling χ1DimensionlessRelative tendency of an atom to attract electrons; χ (H) = 2.20.
Electrostriction coefficientkg-2. m-2. s6. A2m2. V-2( [ΔVolume] / [Volume] ) / [Electric field strength] 2
Emittance, luminouscd. sr. m-2lm. m-2, lx (lux)[Luminous flux] / [Area] . Same as luminous exitance
Energykg. m2. s-2N. m, J (joule)[Force] ⚹ [Distance] , [Power] ⚹ [Time]
Energy, molarkg. m2. s-2. mol-1J. mol-1[Energy] / [Quantity]
Energy, specificm2. s-2J. kg-1[Energy] / [Mass]
Energy densitykg. m-1. s-2J. m-3[Energy] / [Volume]
Energy flux | Powerkg. m2. s-3J. s-1, W (watt)[ΔEnergy] / [ΔTime]
Enthalpykg. m2. s-2JLike energy and heat
Enthalpy, molarkg. m2. s-2. mol-1J. mol-1[Enthalpy] / [Quantity] . Like molar heat
Enthalpy, specificm2. s-2J. kg-1[Enthalpy] / [Mass] . Like specific heat
Entropykg. m2. s-2. K-1J. K-1[ΔHeat] / [Temperature]
Entropy, molarkg. m2. s-2. K-1. mol-1J. K-1. mol-1[Entropy] / [Quantity]
Entropy, specificm2. s-2. K-1J. K-1. kg-1[Entropy] / [Mass]
Evolution rate, log-scales-1d {ln (Q) } /dt = (dQ/dt) /Q. Same as relative evolution rate
Expansion coefficient, thermalK-1( [ΔLength] / [Length] ) / [Temperature]
Expansion rate, cosmologicals-1km/s/Mpc[Velocity] / [Distance] . Mpc stands for Megaparsec
Expectation frequencys-1[Counts] / [Time] . Like count rate
Exposurekg-1. s. AC. kg-1[Charge] / [Mass] . Used for ionising radiations
Extinction coefficientm-1dB/m[Ratio] /m. Used mostly for radiation

SI Dimensions of Physical Quantities: ‘F’ Alphabetic List

SI Dimensions: F
F:
QuantityDimensionAlternativesDefinition/Notes
Field tensor, electromagnetic (relativistic Fμν)kg. s-2. A-1TLike magnetic flux density
Fire pointKTemperature at which ignited vapour keeps burning
Flash pointKTemperature at which vapour can be kept burning
Flowcur. s-1currency/year[ΔValue] / [ΔTime] . Economy and finance: time derivative
Flow rate, of mass | Mass production ratekg. s-1[ΔMass] / [Time] . For example, through a pipe
Flow rate, of volumem3. s-1[ΔVolume] / [Time] . For example, through a pipe
Forcekg. m. s-2N (newton)[Mass] ⚹ [Acceleration]
Force, thermodynamickg. m. s-2. mol-1N/mol[ΔChemical potential] / [Distance]
Four-current (relativistic Jα)m-2. ALike current density and [Charge] ⚹ [c]
Four-potential (relativistic Aα)kg. m. s-2. A-1m-1. s. V, m. TLike magnetic vector potential and [El. potential] / [c]
Four-tensor elmag displacement (relat. Dμν)m-1. ALike magnetic intensity
Four-tensor elmag field (relativistic Fμν)kg. s-2. A-1TLike magnetic flux density
Free energykg. m2. s-2JAlso Helmholtz function. Like energy
Free energy, molarkg. m2. s-2. mol-1J. mol-1[Free energy] / [Quantity] . Like Helmholtz function
Free energy, specificm2. s-2J. kg-1[Free energy] / [Mass] . Like specific Helmholtz function
Free enthalpykg. m2. s-2JAlso Gibbs function. Like energy
Free enthalpy, molarkg. m2. s-2. mol-1J. mol-1[Free enthalpy] / [Quantity] . Like molar Gibbs function
Free enthalpy, specificm2. s-2J. kg-1[Free enthalpy] / [Mass] . Like specific Gibbs function
Frequency of eventss-1[Counts] / [Time]
Frequency of wavess-1Hzhertz
Frequency drift rates-2Hz. s-1[ΔFrequency] / [Time]
Frictionkg. m. s-2NTangential force between two moving surfaces
Friction coefficient1Dimensionless[Tangential force] / [Normal force]
Fugacitykg. m-1. s-2PaEffective pressure in real gases

SI Dimensions of Physical Quantities: ‘G’ Alphabetic List

SI Dimensions: G
G:
QuantityDimensionAlternativesDefinition/Notes
Gain of a device1Dimensionless[Output] / [Input] , like-quantities ratio. Often in dB
GDP Gross domestic productcur. s-1currency/year[Earnings] . Economy and financee: of an administrative region
g-factor of a particle1Dimensionless[Magnetic moment] / ( [Spin] . [Bohr magneton] )
Gradient, of electric fieldkg. s-3. A-1V. m-2[ΔEl. field strength] / [Distance]
Gradient, of magnetic fieldkg. m-1. s-2. A-1T. m-1[ΔMag. flux density] / [Distance]
Gradient, of mass densitykg. m-4[Mass density] / [Distance] . Same as specific density gradient
Gradient, of pressurekg. m-2. s-2N. m-3, Pa/m[Pressure] / [Distance]
Gradient, thermalK. m-1[ΔTemperature] / [Distance] . Same as temperature gradient
Gravitational constant Gkg-1. m3. s-2[Force] ⚹ [Distance] 2/ [Mass] 2. Appears in Newton՚s equation
Gravitational field intensity | Gravitym. s-2[Force] / [Mass] , [Acceleration]
Gravitational field potentialm2. s-2[Energy] / [Mass] .
Gravity | Gravitational field intensitym. s-2[Force] / [Mass] , [Acceleration]
Growth rate, relatives-1[Relative variation] / [Time]
Growth rate, linearm. s-1[ΔLength] / [Time]
Growth rate, of area/surfacem2. s-1[ΔArea] / [Time]
Growth rate, of volumem3. s-1[ΔVolume] / [Time]
Gyromagnetic ratiokg-1. s. AHz. T-1[Mag. moment] / [Angular moment of motion]

SI Dimensions of Physical Quantities: ‘H’ Alphabetic List

SI Dimensions: H
H:
QuantityDimensionAlternativesDefinition/Notes
Half lifesof a non-conservative/decaying quantity
Hamiltoniankg. m2. s-2J[Force] ⚹ [Distance] , [Power] ⚹ [Time] . Like energy
Hardnesskg. m-1. s-2N. m-2[Force] / [Area] . Same as pressure
Heatkg. m2. s-2JLike energy
Heat, molarkg. m2. s-2. mol-1J. mol-1[Heat] / [Quantity]
Heat, specificm2. s-2J. kg-1[Heat] / [Mass]
Heat capacitykg. m2. s-2. K-1J. K-1[ΔHeat] / [ΔTemperature]
Heat capacity, molarkg. m2. s-2. K-1. mol-1J. K-1. mol-1[Heat capacity] / [Quantity]
Heat capacity, specificm2. s-2. K-1J. K-1. kg-1[Heat capacity] / [Mass]
Heat conductivity | Thermal conductivitykg. m. s-3. K-1W. m-1. K-1[Heat flux] / ( [Distance] ⚹ [ΔTemperature] )
Heat fluxkg. m2. s-3J. s, W[ΔHeat] / [ΔTime] . Like power
Heat flux densitykg. s-3W. m-2[Heat flux] / [Area] . Same as irradiance
Heat of fusion/evaporation, specificm2. s-2J. kg-1[Energy] / [Mass]
Heat of fusion|evaporation, molarkg. m2. s-2. mol-1J. mol-1[Energy] / [Quantity]
Hydraulic conductivitym. s-1m/sUsed for porous media
Hydraulic permeabilitym21 darcy = 10-12 m2[Velocity] ⚹ [Viscosity] / [Pressure gradient] , in porous media

SI Dimensions of Physical Quantities: ‘I’ Alphabetic List

SI Dimensions: I
I:
QuantityDimensionAlternativesDefinition/Notes
Illuminancecd. sr. m-2lm. m-2, lx (lux)[Luminous flux] / [Area]
Impact resistancekg. s-2J. m-2[Energy] / [Area]
Impedance, acoustickg. m-4. s-1Pa. s/m3, reyl/m2[ΔPressure] / [Volume flow rate] . Also acu. resistance/reactance
Impedance, acoustic, specifickg. m-2. s-1Pa. s/m , reyl[ΔPressure] ⚹ [Velocity] . Also s. acu. resistance/reactance
Impedance, characteristic, electrickg. m2. s-3. A-2V. A-1, Ω, ohm√ ( [Mag. Permeability] / [El. Permittivity] )
Impedance, inductivekg. m2. s-3. A-2Ω (ohm)i [Angular frequency] . [Inductance]
Impedance, of a circuitkg. m2. s-3. A-2Ω (ohm)
Impulsekg. m. s-1[ΔMoment of motion] , [Force] ⚹ [ΔTime] , [Mass] ⚹ [ΔVelocity]
Income rate|Earningscur. s-1currency/year[Value] / [Time period] . Economy and finance
Inductancekg. m2. s-2. A-2V. s. A-1, Wb. A-1, H (henry)[ΔPotential] / [dCurrent/dt] , [Mag. flux] / [Current]
Induction, electricm-2. s. AC. m-2[Charge] / [Area] . Same as electric flux density
Inductive admittancekg-1. m-2. s3. A2S (siemens)1/ [Inductive impedance]
Inductive impedancekg. m2. s-3. A-2Ω (ohm)i [Angular frequency] . [Inductance]
Informationbit-1bitOne bit is the elementary information quantum
Information flux | Baud ratebit. s-1baud[Information] / [Time]
Intensity of electric currentm-2. A[Current] / [Area] . Same as current density
Interest1%[ΔWealth] / [Wealth] . Economy and finance
Interest rates-1% /year[Interest] / [Time period] . Economy and finance
Internal energykg. m2. s-2JLike energy and heat
Internal energy, molarkg. m2. s-2. mol-1J. mol-1[Internal energy] / [Quantity] . Like molar heat
Internal energy, specificm2. s-2J. kg-1[Internal energy] / [Mass] . Like specific heat
Ion mobilitykg-1. m-1. s2. Am2. s-1. V-1[Velocity] / [Electric field strength] .
Ionic force (strength)m-3. molSum ( [Concentration] ⚹ [Ionic quantum charge] 2) .
Ionic quantum charge1Dimensionless[Ion charge] / [Elementary charge quantum]
Ionic strength (force)m-3. molSum ( [Concentration] ⚹ [Ionic quantum charge] 2) .
Ionization energy, molarkg. m2. s-2. mol-1J. mol-1Energy to ionize a molecule/atom
Irradiancekg. s-3W. m-2[Heat flux] / [Area] . Same as heat flux density

SI Dimensions of Physical Quantities: ‘J’ Alphabetic List

SI Dimensions: J
J:
QuantityDimensionAlternativesDefinition/Notes
Joule-Thomson coefficientkg-1. m. s2. KK. Pa-1[ΔTemperature] / [ΔPressure]

SI Dimensions of Physical Quantities: ‘K’ Alphabetic List

SI Dimensions: K
K:
QuantityDimensionAlternativesDefinition/Notes
Katalytic activitymol. s-1katal[ΔQuantity] / [Time] . Same as molar production rate
Kinematic viscositym2. s-1[Dynamic viscosity] / [Density]
K-space vector|Reciprocal space positionm-1

SI Dimensions of Physical Quantities: ‘L’ Alphabetic List

SI Dimensions: L
L:
QuantityDimensionAlternativesDefinition/Notes
Lagrangiankg. m2. s-2J[Force] ⚹ [Distance] , [Power] ⚹ [Time] . Like energy
Laplace operator | Laplacianm-22 = ∂ 2/ ∂ x2 + ∂ 2/ ∂ y2 + ∂ 2/ ∂ z2
Lengthmm (meter)
Liability|DebtcurcurrencyEconomy and finance
Linear stiffnesskg. s-2N. m-1[Force] / [Displacement] … of a structure
Logarithmic ratio logb (A/A ′ ) in any base b1Applicable to any ratio of commensurable quantities
Logarithmic ratio ln (A/A ′ )1NpNeper. Uses natural logarithm
Logarithmic ratio Log (P/P ′ ) /101dB (decibel)Uses base-10 logarithm. Aplies only to power P
Logarithmic ratio Log (X/X ′ ) /201dB (decibel)Aplies to voltages (X = V) and currents (X = I)
Logarithmic scale differential1DimensionlessdQ/Q, d {ln (Q) } , for any quantity Q. Also relative differential
Logarithmic scale probability density11/Np[Probability] / [Natural-logarithmic ratio]
Loss of a device1Dimensionless[Output] / [Input] , like-quantities ratio. Often in dB
Luminancecd. m-2[Luminosity] / [Area]
Luminositycdcd (candle)Same as luminous intensity
Luminous coefficient1Dimensionless[Luminous efficacy] / [683 lm/W] . Same as luminous efficiency
Luminous efficacycd. sr. kg-1. m-1. s3lm/W[Luminous flux] / [Power]
Luminous efficiency1Dimensionless[Luminous efficacy] / [683 lm/W] . Same as luminous coefficient
Luminous emittancecd. sr. m-2lm. m-2, lx (lux)[Luminous flux] / [Area] . Same as luminous exitance
Luminous energycd. sr. slm. s[Luminous flux] ⚹ [Time] . Known as talbot
Luminous fluxcd. srlm (lumen)[Luminosity] ⚹ [Solid angle] . Same as luminous power
Luminous intensitycdcd (candle)Same as luminosity
Luminous powercd. srlm (lumen)[Luminosity] ⚹ [Solid angle] . Same as luminous flux

SI Dimensions of Physical Quantities: ‘M’ Alphabetic List

SI Dimensions: M
M:
QuantityDimensionAlternativesDefinition/Notes
Magnetic charge (bound)m-2. A- ∇ . [Magnetization] , -Divergence of magnetization
Magnetic dipole momentm2. AJ. T-1[Current] ⚹ [Area] . Same as magnetic moment
Magnetic field gradientkg. m-1. s-2. A-1T. m-1[ΔMag. flux density] / [Distance]
Magnetic field strength | Magnetic intensitym-1. A[Current] / [Distance]
Magnetic fluxkg. m2. s-2. A-1V. s, W. s. A-1, Wb (weber)[ΔPotential] ⚹ [Time] , [Power] / [dCurrent/dt]
Magnetic flux density | Magnetic inductionkg. s-2. A-1Wb. m-2, T (tesla)[Mag. flux] / [Area]
Magnetic inductionkg. s-2. A-1Wb. m-2, T (tesla)[Mag. flux] / [Area] . More properly magnetic flux density
Magnetic intensitym-1. A[Current] / [Distance] . More properly magnetic field strength
Magnetic momentm2. AJ. T-1[Current] ⚹ [Area]
Magnetic permeabilitykg. m. s-2. A-2H. m-1[Mag. flux density] / [Mag. field strength]
Magnetic permeability, relative1Dimensionless[Permeability] / [Permeability of vacuum]
Magnetic quadrupole momentm3. Am. J. T-1[Mag. dipole] ⚹ [Distance]
Magnetic susceptibility1Dimensionless[Relative permeability] -1
Magnetic vector potentialkg. m. s-2. A-1m-1. s. V, m. T[Mag. flux density] ⚹ [Distance] , [El. field strength] ⚹ [Time]
Magnetizationm-1. A[Mag. moment] / [Volume] . Like magnetic field strength
Magnetogyric ratiokg. s-1. A-1T. Hz-1[Angular moment of motion] / [Mag. moment]
Magnetomotive force (mmf)A[Current] ⚹ [Number of turns]
Magnitude of a star1Dimensionlessm-m ′ =-100.4 (S/S ′ ) , where S, S ′ are the luminous fluxes of two stars
Masskgkg (kilogram)
Mass densitykg. m-3[Mass] / [Volume] . Same as specific density
Mass density gradient|Specific density gradientkg. m-4[Mass density] / [Distance]
Mass concentration1Dimensionless[Partial mass] / [Total mass]
Mass flow (total)kg. s-1kg[ΔMass] / [Time] . For example, through a device
Mass production ratekg. s-1[ΔMass] / [Time] . Same as mass flow
Mass, molarkg. mol-1[Mass] / [Quantity]
Mass number of an isotope1DimensionlessNumber of protons + neutrons in the isotope nuclide
Mean anomaly1DimensionlessOf a body on a Kepler orbit; t. sqrt (G (M1 + M2) /r3)
Mean motions-1Of a body on a Kepler orbit; sqrt (G (M1 + M2) /r3)
Modulus of compressionkg-1. m. s2Pa-1[Pressure] / ( [ΔVolume] / [Volume] ) . Same as compressibility
Modulus of rigiditykg. m-1. s-2N. m-2, Pa[Stress] / [Strain] . Same as shear modulus
Mobility, ionickg-1. m-1. s2. Am2. s-1. V-1[Velocity] / [Electric field strength] .
Molality (intended as concentration)kg-1. molmol/kg[Quantity] / [Mass]
Molar charges. A. mol-1C. mol-1[Charge] / [Quantity]
Molar concentrationm-3. mol[Quantity] / [Volume] . Same as concentration or molarity
Molar concentration gradientm-4. mol[Molarity] / [Distance] . Same as molarity gradient
Molar concentration ratio1Dimensionless[Partial quantity] / [Total quantity]
Molar conductivity, electrickg-1. m-3. s3. A2. mol-1S. m-1. mol-1[El. conductivity] / [Concentration]
Molar densitym-3. mol[Quantity] / [Volume] . Same as concentration
Molar energykg. m2. s-2. mol-1J. mol-1[Energy] / [Quantity]
Molar enthalpykg. m2. s-2. mol-1J. mol-1[Enthalpy] / [Quantity] . Like molar heat
Molar entropykg. m2. s-2. K-1. mol-1J. K-1. mol-1[Entropy] / [Quantity]
Molar free energykg. m2. s-2. mol-1J. mol-1[Free energy] / [Quantity] . Also molar Helmholtz function
Molar free enthalpykg. m2. s-2. mol-1J. mol-1[Free enthalpy] / [Quantity] . Also molar Gibbs function
Molar heatkg. m2. s-2. mol-1J. mol-1[Heat] / [Quantity]
Molar heat capacitykg. m2. s-2. K-1. mol-1J. K-1. mol-1[Heat capacity] / [Quantity]
Molar internal energykg. m2. s-2. mol-1J. mol-1[Internal energy] / [Quantity] . Like molar heat
Molar masskg. mol-1[Mass] / [Quantity]
Molar particle countmol-1[Count] / [Mol] . For example, the Avogadro constant
Molar production ratemol. s-1[ΔQuantity] / [Time] .
Molar refractivitym3. mol-1[ (r2-1) / (r2 + 2) ] / [Concentration] , where r is the refractive index
Molar relaxivitys-1. mol-1[Relaxation rate] / [Concentration]
Molar solubilitym-3. mol[Quantity] / [Volume] . Same as concentration
Molar volumem3. mol-1[Volume] / [Quantity]
Molaritym-3. mol[Quantity] / [Volume] . Same as concentration or molar density
Molarity gradientm-4. mol[Molarity] / [Distance] . Same as concentration gradient
Molecular quantum charge1Dimensionless[Charge of a molecule] / [Elementary charge quantum]
Moment of forcekg. m2. s-2N. m[Force] ⚹ [Distance]
Moment of motionkg. m. s-1[Mass] ⚹ [Velocity] , [Mass flow] ⚹ [Distance]
Multiple derivatives with respect to times-pdp/dtp, ∂ p/ ∂ tp; for p = 1,2, 3, . .
Multiple derivatives with respect to a lengthm-pdp/drp, ∂ p/ ∂ rp; for p = 1,2, 3, … , r = x|y | z
Mutual inductancekg. m2. s-2. A-2V. 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
N:
QuantityDimensionAlternativesDefinition/Notes
Nabla (∇) | div|grad|rot|curlm-1Any derivative-like construct with respect to a distance
Notch resistancekg. s-2J. m-2[Energy] / [Area]
Number of instances/events1This covers all kinds of enumerations
Number densitym-3[Particles] / [Volume] . Obsolete; see particle density
Number of turns1Often used in electric engineering

SI Dimensions of Physical Quantities: ‘O’ Alphabetic List

SI Dimensions: O
O:
QuantityDimensionAlternativesDefinition/Notes
Osmotic pressurekg. m-1. s-2Pa

SI Dimensions of Physical Quantities: ‘P’ Alphabetic List

SI Dimensions: P
P:
QuantityDimensionAlternativesDefinition/Notes
Particle count, molarmol-1[Count] / [Mol] . For example, the Avogadro constant
Particle densitym-3[Count] / [Volume] . Obsolete: number density
P/E Price/Earnings ratiosyear[Value] / [Earnings] . Economy and finance
Peltier coefficientkg. m2. s-3. A-1W. A-1, V[Heat flux] / [Current]
Perimeter|Circumferencem
Permeability, magnetickg. m. s-2. A-2H. m-1[Mag. flux density] / [Mag. field strength]
Permeability, hydraulicm21 darcy = 10-12 m2[Velocity] ⚹ [Viscosity] / [Pressure gradient] , in porous media
Permittivity, electrickg-1. m-3. s4. A2F. m-1[El. flux density] / [El. field strength]
Permittivity, relative1Dimensionless[Permittivity] / [Permittivity of vacuum] . Dielectric constant
Phase|Phase angle1radφ typically in exp (i (ωt + φ) )
Phase drift rates-1rad. s-1[Phase angle] / [Time]
Pi coefficient, molarkg. m-1. s-2. mol-1J. m-3[ΔInternalEnergy] / [ΔVolume]
Piezzoelectric coefficientkg. m. s-3. A-1V. m-1[Electric field strength] / ( [ΔLength] / [Length] )
Plane angle1rad
Poisson՚s ratio1Dimensionless[Transversal striction] / [Londitudinal elongation]
Polarization, electricm-2. s. AC. m-2[Charge] / [Area] . Like electric flux density
Porosity, superficial1Dimensionless[Void cross section] / [Total cross section] , in porous media
Porosity, volume1Dimensionless[Pores volume] / [Total volume] , in porous media
Position vectormin all Euclidean n-dimensional spaces
Potential, electrickg. m2. s-3. A-1W. A-1, J. C-1, V (volt)[Power] / [Current] , [Energy] / [Charge]
Powerkg. m2. s-3J. s-1, W (watt)[ΔEnergy] / [ΔTime] . Equivalent to energy flux
Prandtl number1Dimensionless[Kinematic viscosity] / [Thermal diffusivity]
Propagation lossm-1dB/m[Ratio] /m. Generic, usable for any quantity
Poynting vectorkg. s-3W. m-2[El. field strength] / [Mag. field strength] . Like irradiance
Pressurekg. m-1. s-2N. m-2, Pa (pascal)[Force] / [Area]
Pressure gradientkg. m-2. s-2N. m-3, Pa/m[Pressure] / [Distance]
Price|ValuecurcurrencyEconomy and finance
Probability of an event1Real number in a dimensionless interval [0,1]
Probability density on log-scale1Np-1[Probability] / [Natural-logarithmic ratio]
Purchase|Transaction valuecurcurrencyEconomy and finance

SI Dimensions of Physical Quantities: ‘R’ Alphabetic List

SI Dimensions: R
R:
QuantityDimensionAlternativesDefinition/Notes
Radiancekg. s-3. sr-1W. m-2. sr-1( [Power] / [Area] ) / [Solid angle]
Radiation dosem2. s-2J. kg-1, Gy (gray)[Energy] / [Mass]
Radiation dose ratem2. s-3Gy. s-1[Absorbed dose] / [Time]
Radioactivitys-1Bq (becquerel)[Counts] / [Time]
Radius of curvaturemof a line in plane/space or surface in space
Rotational stiffnesskg. m2. s-2. rad-1N. m. rad-1[Moment of force] / [Angle] … of a structure
Ratio of commensurable quantities1DimensionlessQ1/Q2, with Q1 and Q2 having the same dimension
Reactance, acoustickg. m-4. s-1Pa. s/m3, reyl/m2[ΔPressure] / [Volume flow rate] . Also acu. impedance/resistance
Reactance, acoustic, specifickg. m-2. s-1Pa. s/m , reyl[ΔPressure] ⚹ [Velocity] . Also s. acu. impedance/resistance
Reactance, capacitivekg. m2. s-3. A-2Ω (ohm)1/ (i [Angular frequency] . [Capacitance] )
Reciprocal space position|K-space vectorm-1
Redox potentialkg. m2. s-3. A-1V (volt)Same as reduction potential
Reduction potentialkg. m2. s-3. A-1V (volt)Same as redox potential
Refractive index1DimensionlessLight speeds ration (in a medium) / (in vacuum)
Refractivity, molarm3. mol-1[ (r2-1) / (r2 + 2) ] / [Concentration]
Refractivity, specificm3. kg-1[ (r2-1) / (r2 + 2) ] / [Specific density] ,
Relative atomic mass | Atomic weightauatomic unitsAverage over a typical isotopic composition
Relative differential1DimensionlessdQ/Q, d {ln (Q) } , for any quantity Q. Also log-scale differential
Relative evolution rates-1d {ln (Q) } /dt = (dQ/dt) /Q. Also log-scale evolution rate
Relative permeability, magnetic1Dimensionless[Permeability] / [Permeability of vacuum]
Relative permittivity, electric1Dimensionless[Permittivity] / [Permittivity of vacuum] . Dielectric constant
Relative variation1DimensionlessΔQ/Q, for any quantity Q
Relativistic displacement four-tensor (Dμν)m-1. ALike magnetic intensity
Relativistic electromagnetic field tensor (Fμν)kg. s-2. A-1TLike magnetic flux density
Relativistic four-current (Jα)m-2. ALike current density and [Charge] ⚹ [c]
Relativistic four-potential (Aα)kg. m. s-2. A-1m-1. s. V, m. TLike magnetic vector potential and [El. potential] / [c]
Relaxation rates-11/ [Relaxation time] . Used for returns to equilibria
Relaxation timesUsed for returns to equilibria
Relaxivity, molars-1. mol-1[Relaxation rate] / [Concentration]
Reluctance, magnetickg-1. m-1. s2. A2m. H-11/ [Permeability]
Resistance, acoustickg. m-4. s-1Pa. s/m3, reyl/m2[ΔPressure] / [Volume flow rate] . Also acu. impedance/reactance
Resistance, acoustic, specifickg. m-2. s-1Pa. s/m , reyl[ΔPressure] ⚹ [Velocity] . Also s. acu. impedance/reactance
Resistance, electrickg. m2. s-3. A-2V. A-1, Ω (ohm)[ΔPotential] / [Current]
Resistance, thermalkg-1. m-2. s3KK/Wof a device. [ΔT] / [Power] .
Resistance to impactkg. s-2J. m-2[Energy] / [Area] . Like notch resistance
Resistivity, electrickg. m3. s-3. A-2Ω. m( [Resistance] ⚹ [Length] ) / [Area]
Return on asset/equitys-1% /year( [ΔValue] / [Value] ) / [Time period] . Economy and finance
Reynolds number1Dimensionless[Velocity] ⚹ [length] / [Kinematic viscosity]
RF attenuationm-1dB/m[Ratio] /m. Used mostly for radiation

SI Dimensions of Physical Quantities: ‘S’ Alphabetic List

SI Dimensions: S
S:
QuantityDimensionAlternativesDefinition/Notes
Sale|Transaction valuecurcurrencyEconomy and finance
Sales flow|Transactions volumecur. s-1[Value] / [Time period] . Economy and Finance
Seeback coefficientkg. m2. s-3. A-1. K-1V. K-1[ΔPotential] / [ΔTemperature] . Same as thermoelectric power
Self-diffusion coefficientm2. s-1[Distance2] / [Time]
Settling rates-1typically dB/s[Ratio] / [ΔTime]
Settling timestypically dB/sUsed to describe transient phenomena
Shear moduluskg. m-1. s-2N. m-2, Pa[Stress] / [Strain] . Like Young modulus
Softening pointKTemperature at which hardness drops below a level
Solid angle1sr (steradian)
Solubility, molarm-3. mol[Quantity] / [Volume] . Same as concentration
Sonic attenuationm-1dB/m[Power ratio] /m. Used in acoustics
Specific acoustic impedancekg. m-2. s-1Pa. s/m , reyl[ΔPressure] ⚹ [Velocity] . Also s. acu. resistance/reactance
Specific acoustic conductancekg-1. m2. sreyl-1Also specific acoustic susceptance
Specific chargekg-1. s. AC. kg-1[Charge] / [Mass] . Charge/mass ratio
Specific densitykg. m-3[Mass] / [Volume] . Same as density of mass
Specific density gradientkg. m-4[Mass density] / [Distance] . Same as mass density gradient
Specific energym2. s-2J. kg-1[Energy] / [Mass]
Specific enthalpym2. s-2J. kg-1[Enthalpy] / [Mass] . Like specific heat
Specific entropym2. s-2. K-1J. K-1. kg-1[Entropy] / [Mass]
Specific free energym2. s-2J. kg-1[Free energy] / [Mass] . Also specific Helmholtz function
Specific free enthalpym2. s-2J. kg-1[Free enthalpy] / [Mass] . Also specific Gibbs function
Specific heatm2. s-2J. kg-1[Heat] / [Mass]
Specific heat capacitym2. s-2. K-1J. K-1. kg-1[Heat capacity] / [Mass]
Specific internal energym2. s-2J. kg-1[Internal energy] / [Mass] . Like specific heat
Specific refractivitym3. kg-1[ (r2-1) / (r2 + 2) ] / [Specific density]
Specific volumem3. kg-1[Volume] / [Mass]
Speedm. s-1[Distance] / [Time] . Same as velocity
Spin1Dimensionlessof a quantum particle
Star magnitude1Dimensionlessm-m ′ =-100.4 (S/S ′ ) , where S, S ′ are luminous fluxes of two stars
Stiffness, linearkg. s-2N. m-1[Force] / [Displacement] … of a structure
Stiffness, rotationalkg. m2. s-2. rad-1N. m. rad-1[Moment of force] / [Angle] … of a structure
Strain (mechanical)1Dimensionless[ΔLength] / [Length] Relative deformation
Strain pointKTemperature at which viscosity drops below 1013.5 Pa. s
Strength, compressivekg. m-1. s-2N. m-2, Pa[Force] / [Area] . Like pressure
Strength, dielectrickg. m. s-3. A-1V. m-1[ΔPotential] / [Distance] . Same as electric strength
Strength, electric field | Electric intensitykg. m. s-3. A-1V. m-1[ΔPotential] / [Distance]
Strength, ionicm-3. molSum ( [Concentration] ⚹ [Ionic quantum charge] 2) .
Strength, magnetic field | Magnetic intensitym-1. A[Current] / [Distance]
Strength, tensilekg. m-1. s-2N. m-2, Pa[Force] / [Area] . Same as pressure
Superficial porosity1Dimensionless[Void cross section] / [Total cross section] , in porous media
Superficial velocitym. s-1m/sIn porous media; as if the space was filled only by the fluid
Surface aream2[Distance] ⚹ [Distance] . Applicable to 3D bodies
Surface density of chargem-2. s. AC. m-2[Charge] / [Area]
Surface elementm2[Distance] ⚹ [Distance] . Same as area
Surface energykg. s-2J/m2[Energy] / [Area] . Same as surface tension
Surface growth ratem2. s-1[ΔArea] / [Time]
Surface tensionkg. s-2N/m[Force] / [Length] . Same as surface energy
Susceptance, acoustic, specifickg-1. m2. sreyl-1Also specific acoustic conductance
Susceptance, capacitivekg-1. m-2. s3. A2S (siemens)1/ [Reactance]
Susceptibility, magnetic1Dimensionless[Relative permeability] -1
Stresskg. m-1. s-2Pa, N. m-2[Force] / [Area] . Same as pressure

SI Dimensions of Physical Quantities: ‘T’ Alphabetic List

SI Dimensions: T
T:
QuantityDimensionAlternativesDefinition/Notes
TemperatureKK (kelvin)
Temperature gradientK. m-1[ΔTemperature] / [Distance] . Same as thermal gradient
Tensile strengthkg. m-1. s-2N. m-2, Pa[Force] / [Area] . Same as pressure
Tensionkg. m-1. s-2Pa, N. m-2[Force] / [Area] . Like pressure
Thermal conductivitykg. m. s-3. K-1W. m-1. K-1[Heat flux] / ( [Distance] ⚹ [ΔTemperature] ) . Same as heat conductivity
Thermal diffusivitym2. s-1( [∂ Temperatute] / [∂ Time] ) / [∇ 2Temperature] .
Thermal expansion coefficientK-1( [ΔLength] / [Length] ) / [Temperature]
Thermal gradientK. m-1[ΔTemperature] / [Distance] . Same as temperature gradient
Thermal resistancekg-1. m-2. s3KK/Wof a device. [ΔT] / [Power] .
Thermodynamic forcekg. m. s-2. mol-1N/mol[ΔChemical potential] / [Distance]
Thermoelectric power | Thermopowerkg. m2. s-3. A-1. K-1V. K-1[ΔPotential] / [ΔTemperature] . Same as Seeback coefficient
Thicknessmusually referred to planar structures
Thomson coefficientkg. m2. s-3. A-1. K-1W. K-1. A-1[Heat flux] / ( [ΔTemperature] ⚹ [Current] )
Timess (second)
Torque | Moment of forcekg. m2. s-2N. m[Force] ⚹ [Distance]
Tractionkg. m. s-2N (newton)Maximum tangential force before slipping
Traction coefficient1Dimensionless[Traction] / [Weight]
Transaction value|Sale|PurchasecurcurrencyEconomy and finance
Transactions count1DimensionlessEconomy and finance
Transactions rate|Activitys-11/year[Transactions] / [Time period] . Economy and finance
Transactions volume|Sales flowcur. s-1[Value] / [Time period] . Economy and Finance
Transmission lossm-1dB/m[Ratio] /m. Generic, usable for any quantity

SI Dimensions of Physical Quantities: ‘V’ Alphabetic List

SI Dimensions: V
V:
QuantityDimensionAlternativesDefinition/Notes
V-number | Abbé number | Constringence1DimensionlessVD = (nD-1) / (nF-nC)
Value|PricecurcurrencyEconomy and finance
van der Waals constant: akg. m5. s-2. mol-2Pa. m6a in (p + a/V2) (V-b) = RT, where V is molar volume
van der Waals constant: bm3. mol-1b in (p + a/V2) (V-b) = RT, where V is molar volume
Variance of current noise nJ2s. A2A2/Hz[Current] 2/ [Bandwidth]
Variance of voltage noise nV2kg2. m4. s-5. A-2V2/Hz[Voltage] 2/ [Bandwidth]
Vector potential, magnetickg. m. s-2. A-1m-1. s. V, m. T[Mag. flux density] ⚹ [Distance] , [El. field strength] ⚹ [Time]
Velocitym. s-1m/s[Distance] / [Time] . Same as speed
Velocity, advectionm. s-1m/sIn porous media; actual progress along pressure gradient
Velocity, of money (circulation)s-11/year[Transactions] / [Time period] . Economy and finance
Velocity, superficialm. s-1m/sIn porous media; as if the space was filled only by the fluid
Verdet constantkg-1. m-1. s2. A1rad. m-1. T-1( [Angle] / [Length] ) / [Magnetic flux density]
Virial coefficient: secondm3. mol-1B in pV/ (nRT) = 1 + B (n/V) + C (n/V) 2 + D (n/V) 3 + …
Virial coefficient: thirdm6. mol-2C in pV/ (nRT) = 1 + B (n/V) + C (n/V) 2 + D (n/V) 3 + …
Virial coefficient: fourthm9. mol-3C in pV/ (nRT) = 1 + B (n/V) + C (n/V) 2 + D (n/V) 3 + …
Viscosity, dynamickg. m-1. s-1Pa. s( [Force] / [Area] ) / [ΔVelocity]
Viscosity, kinematicm2. s-1[Dynamic viscosity] / [Density]
Voltage | Electromotive forcekg. m2. s-3. A-1V[ΔPotential]
Voltage noise, variance nV2kg2. m4. s-5. A-2V2/Hz[Voltage] 2/ [Bandwidth]
Volumem3[Area] ⚹ [Distance]
Volume concentration1Dimensionless[Partial volume] / [Total volume]
Volume flowm3. s-1[Volume] / [Time] . For example, through a device
Volume growth ratem3. s-1[Volume] / [Time] . For example, of a crystal
Volume porosity1Dimensionless[Pores volume] / [Total volume] , in porous media

SI Dimensions of Physical Quantities: ‘W’ Alphabetic List

SI Dimensions: W
W:
QuantityDimensionAlternativesDefinition/Notes
Wave function for N particles (quantum)m-3N/2tentative| ψ| 2N is a dimensionless probability element.
Wavelengthm[Wave velocity] / [Frequency]
Wavenumberm-1[Number of waves] / [Distance]
Wealth|AssetcurcurrencyEconomy and finance
Work functionkg. m2. s-2J, eV[Energy] needed to remove an electron

SI Dimensions of Physical Quantities: ‘Y’ Alphabetic List

SI Dimensions: W
Y:
QuantityDimensionAlternativesDefinition/Notes
Young moduluskg. m-1. s-2N. m-2, Pa[Stress] / [Strain] . Like shear modulus

Developed by: