Units of Measurement

SI Unit Symbols

A, bar, Bq, C, cd, d, dB, dbar, ° (deg), °C (degC), eV, F, g, Gy, h, H, Hz, J, K, kat, kg, l, L, lm, lx, m, mbar, min, mol, N, Ω (Ohm), Pa, phon, rad, rev, Hz/2π (revHz), rpm, s, S, sone, sr, Sv, T, V, var, W, Wb

All Unit Symbols

A, atm, bar, Bq, C, cal, cd, CGSdebye, CGSFr, CGSstatC, Ci, d, dB, dbar, debye, ° (deg), °C (degC), °F (degF), °Rk (degRk), dyn, EMUFr, EMUstatC, ESUdebye, ESUFr, ESUstatC, eV, F, floz, ft, g, gal, Gy, h, H, hpE, hpI, hpM, hpS, Hz, in, Btuⁱ (ITBtu), kBtuⁱ (ITkBtu), J, K, kat, kg, kn, l, L, lb, lbf, lm, lx, m, mbar, mi, min, mol, mph, N, nmi, Ω (Ohm), oz, ozf, Pa, % (percent), ‰ (permille), phon, ppm, psi, rad, Rd, rem, rev, Hz/2π (revHz), rpm, s, S, sone, sr, st (stone), Sv, T, Btuₜₕ (TCBtu), kBtuₜₕ (TCkBtu), UKfloz, UKgal, V, var, W, Wb, yd, yr

A — ampere

Symbol: A (prefixable)

Base unit

Wolfram Language: "Amperes"

Derived units: S, Ω, V, var, C, H

Quantities	Display Units
1/Modelica.Units.SI.ElectricCharge	1/(A⋅s)
CurrentDensity	A/m²
CurrentLinkage, ElectricCurrent, MagneticPotential, MagnetomotiveForce	mA, A, kA
CurrentSlope	A/s
ElectricalForceConstant	N/A
ElectricalTorqueConstant	N⋅m/A
ElectricCharge	A⋅h
ElectromagneticMoment, MagneticMomentOfParticle	A⋅m²
GyromagneticCoefficient	A⋅m²/(J⋅s)
LinearCurrentDensity, MagneticFieldStrength, Magnetization	A/m
Power	V⋅A
RichardsonConstant	A/(m²⋅K²)
Transconductance	A/V²

atm — standard atmosphere

Symbol: atm

Definition: x atm = (101325 x) Pa

Wolfram Language: "Atmospheres"

Quantities	Display Units
Fugacity, Pressure	atm

bar — bar

Slightly less than one standard atmosphere.

Symbol: bar

Definition: x bar = (100000 x) Pa

Wolfram Language: "Bars"

Derived units: dbar, mbar

Quantities	Display Units
Fugacity, Pressure	bar
PressureRate	bar/s

Bq — becquerel

Symbol: Bq (prefixable)

Definition: x Bq = x 1/s

Wolfram Language: "Becquerels"

Derived units: Rd, Ci

Quantities	Display Units
Activity, Rate	Bq
SpecificActivity	Bq/kg

C — coulomb

Symbol: C (prefixable)

Definition: x C = x s⋅A

Wolfram Language: "Coulombs"

Derived units: ESUstatC, F

Quantities	Display Units
1/Modelica.Units.SI.ElectricCharge	1/C
ElectricCharge, ElectricFlux, ElementaryCharge	C
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule	C⋅m
ElectricFluxDensity, ElectricPolarization, SurfaceDensityOfCharge	C/m²
ElectricPolarizabilityOfAMolecule	C⋅m²/V
Exposure	C/kg
ExposureRate	C/(kg⋅s)
FaradayConstant	C/mol
HallCoefficient	m³/C
VolumeDensityOfCharge	C/m³

cal — thermochemical calorie

Symbol: cal (prefixable)

Definition: x cal = (4.184 x) J

Wolfram Language: "ThermochemicalCalories"

Derived units: Btuₜₕ

Unit does not appear in the display units configured for any quantity.

cd — candela

Symbol: cd (prefixable)

Base unit

Wolfram Language: "Candelas"

Derived units: lm

Quantities	Display Units
Luminance	cd/m²
LuminousIntensity	cd

CGSdebye — debye

In other contexts, sometimes denoted with symbol D.

Symbol: CGSdebye

Definition: x CGSdebye = (1e-18 x) CGSstatC⋅cm

Wolfram Language:
"Atto" "Centimeters"^(5/2) "Grams"^(1/2) / "Seconds"

Quantities	Display Units
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule	CGSdebye

CGSFr — franklin

Alternative name for statcoulomb (CGSstatC).

Symbol: CGSFr

Definition: x CGSFr = x CGSstatC

Wolfram Language:
"Centimeters"^(3/2) "Grams"^(1/2) / "Seconds"

Quantities	Display Units
ElectricCharge, ElectricFlux, ElementaryCharge	CGSFr

CGSstatC — statcoulomb

Electrostatic unit of charge. Also known as franklin (CGSFr).

Symbol: CGSstatC (prefixable)

Definition: x CGSstatC = x dyn^1/2⋅cm

Wolfram Language:
"Centimeters"^(3/2) "Grams"^(1/2) / "Seconds"

Derived units: CGSFr, CGSdebye

Quantities	Display Units
ElectricCharge, ElectricFlux, ElementaryCharge	CGSstatC

Ci — curie

Symbol: Ci (prefixable)

Definition: x Ci = (3.7e+10 x) Bq

Wolfram Language: "Curies"

Quantities	Display Units
Activity, Rate	pCi, Ci

d — day

Symbol: d

Definition: x d = (24 x) h

Wolfram Language: "Days"

Derived units: yr

Quantities	Display Units
1/Modelica.Units.SI.Time, DecayConstant, Rate	1/d
RecombinationCoefficient, VolumeFlowRate	m³/d
Time	d

dB — decibel

Symbol: dB

Base unit

Wolfram Language: IndependentUnit["decibels"]

Quantities	Display Units
AmplitudeLevelDifference, PowerLevelDifference, SoundPowerLevel, SoundPressureLevel, SoundReductionIndex	dB

dbar — decibar

Isolated prefix variant of the bar symbol. Used mainly in oceanography.

Symbol: dbar

Definition: x dbar = (0.1 x) bar

Wolfram Language: "Decibars"

Unit does not appear in the display units configured for any quantity.

debye — debye of charge

Alternative name for debye of charge (ESUdebye).

Symbol: debye

Definition: x debye = x ESUdebye

Wolfram Language: "Debyes"

Quantities	Display Units
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule	debye

° — degree

Symbol: deg

Definition: x ° = (0.0174533 x) rad

Wolfram Language: "AngularDegrees"

Quantities	Display Units
Angle, IsenthalpicExponent	°
AngularAcceleration	°/s²
AngularFrequency, AngularVelocity, Rate	°/s

°C — degree Celsius

Symbol: degC

Definition: x °C = (x + 273.15) K

Default kind of quantity: Absolute

Wolfram Language: "DegreesCelsius"

Quantities	Display Units
ThermodynamicTemperature	°C

°F — degree Fahrenheit

Symbol: degF

Definition: x °F = (x + 459.67) °Rk

Default kind of quantity: Absolute

Wolfram Language: "DegreesFahrenheit"

Quantities	Display Units
ThermodynamicTemperature	°F

°Rk — degree Rankine

Symbol: degRk

Definition: x °Rk = (0.555556 x) K

Default kind of quantity: Absolute

Wolfram Language: "DegreesRankine"

Derived units: Btuₜₕ, °F, Btuⁱ

Quantities	Display Units
ThermodynamicTemperature	°Rk

dyn — dyne

Symbol: dyn (prefixable)

Definition: x dyn = x g⋅cm/s²

Wolfram Language: "Dynes"

Derived units: CGSstatC

Quantities	Display Units
Force, ImpulseFlowRate, MomentumFlux	dyn

EMUFr — franklin of flux

Flux interpretation of franklin. Alternative name for statcoulomb of flux (EMUstatC).

Symbol: EMUFr

Definition: x EMUFr = x EMUstatC

Wolfram Language:
"Statcoulombs" ("Radians" "Pints") / ("FullAngle" "Quarts")

Quantities	Display Units
ElectricFlux	EMUFr

EMUstatC — statcoulomb of flux

Flux interpretation of statcoulomb. Electrostatic unit of charge. Also known as franklin of charge (ESUFr).

Symbol: EMUstatC (prefixable)

Definition: x EMUstatC = (0.0795775 x) ESUstatC

Wolfram Language:
"Statcoulombs" ("Radians" "Pints") / ("FullAngle" "Quarts")

Derived units: EMUFr

Quantities	Display Units
ElectricFlux	EMUstatC

ESUdebye — debye of charge

Charge interpretation of debye. In the Modelica Standard Library, denoted with symbol debye. In other contexts, sometimes denoted with symbol D.

Symbol: ESUdebye

Definition: x ESUdebye = (1e-18 x) ESUstatC⋅cm

Wolfram Language: "Debyes"

Derived units: debye

Quantities	Display Units
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule	ESUdebye

ESUFr — franklin of charge

Charge interpretation of franklin. Alternative name for statcoulomb of charge (ESUstatC).

Symbol: ESUFr

Definition: x ESUFr = x ESUstatC

Wolfram Language: "Franklins"

Quantities	Display Units
ElectricCharge, ElementaryCharge	ESUFr

ESUstatC — statcoulomb of charge

Charge interpretation of statcoulomb. Electrostatic unit of charge. Also known as franklin of flux (ESUFr).

Symbol: ESUstatC (prefixable)

Definition: x ESUstatC = (3.33564e-10 x) C

Wolfram Language: "Statcoulombs"

Derived units: ESUFr, ESUdebye, EMUstatC

Quantities	Display Units
ElectricCharge, ElementaryCharge	ESUstatC

eV — electronvolt

Symbol: eV

Definition: x eV = (1.60218e-19 x) J

Wolfram Language: "Electronvolts"

Quantities	Display Units
Energy, LevelWidth, Work	eV

F — farad

Symbol: F (prefixable)

Definition: x F = x C/V

Wolfram Language: "Farads"

Quantities	Display Units
Capacitance	pF, nF, μF, mF, F
CapacitancePerArea	F/m²
Permittivity	F/m

floz — US fluid ounce

Symbol: floz

Definition: x floz = (29.5735 x) mL

Wolfram Language: "FluidOunces"

Derived units: gal

Unit does not appear in the display units configured for any quantity.

ft — foot

Symbol: ft

Definition: x ft = (12 x) in

Wolfram Language: "Feet"

Derived units: yd

Quantities	Display Units
Acceleration	ft/s²
AngularImpulseFlowRate, AngularMomentumFlux, Torque	lbf⋅ft
Area, AtomicAttenuationCoefficient, NuclearQuadrupoleMoment	ft²
Density, MassConcentration	lb/ft³
Energy, Work	ft⋅lbf
Length, SLength, Wavelength	ft
MechanicalImpedance, TranslationalDampingConstant	lbf/(ft/s)
MomentOfInertia	lb⋅ft²
Power	ft⋅lbf/s
RotationalDampingConstant	lbf⋅ft/(rad/s)
Velocity	ft/s

g — gram

Symbol: g (prefixable)

Definition: x g = (0.001 x) kg

Wolfram Language: "Grams"

Derived units: Btuₜₕ, dyn, Btuⁱ

Quantities	Display Units
Density, MassConcentration	mg/mL, g/cm³
DerPressureByDensity, DoseEquivalent	J/g
Mass	μg, mg, g
MassFlowRate	g/s

gal — US gallon

Symbol: gal

Definition: x gal = (128 x) floz

Wolfram Language: "Gallons"

Quantities	Display Units
DerEnergyByPressure, Volume	gal

Gy — gray

Symbol: Gy (prefixable)

Definition: x Gy = x J/kg

Wolfram Language: "Grays"

Quantities	Display Units
AbsorbedDose, DerPressureByDensity, Kerma, SpecificEnergy	mGy, Gy
AbsorbedDoseRate, KermaRate	Gy/s

h — hour

Symbol: h

Definition: x h = (60 x) min

Wolfram Language: "Hours"

Derived units: d, mph, kn

Quantities	Display Units
1/Modelica.Units.SI.Time, DecayConstant, Rate	1/h
ElectricCharge	A⋅h
Energy, Work	W⋅h, kW⋅h
RecombinationCoefficient, VolumeFlowRate	m³/h
Time	h
Velocity	km/h

H — henry

Symbol: H (prefixable)

Definition: x H = x Wb/A

Wolfram Language: "Henries"

Quantities	Display Units
Inductance, Permeance	pH, nH, μH, mH, H, kH
Permeability	H/m
Reluctance	1/H

hpE — electrical horsepower

Symbol: hpE

Definition: x hpE = (746 x) W

Wolfram Language: "ElectricalHorsepower"

Quantities	Display Units
Power	hpE

hpI — imperial horsepower

Also denoted mechanical horsepower.

Symbol: hpI

Definition: x hpI = (745.7 x) W

Wolfram Language: "MechanicalHorsepower"

Quantities	Display Units
Power	hpI

hpM — metric horsepower

Symbol: hpM

Definition: x hpM = (735.499 x) W

Wolfram Language: "MetricHorsepower"

Quantities	Display Units
Power	hpM

hpS — steam horsepower

Also denoted boiler horsepower.

Symbol: hpS

Definition: x hpS = (9810.56 x) W

Wolfram Language: "BoilerHorsepower"

Quantities	Display Units
Power	hpS

Hz — hertz

Symbol: Hz (prefixable)

Definition: x Hz = x 1/s

Wolfram Language: "Hertz"

Derived units: Hz/2π

Quantities	Display Units
Frequency, Rate	kHz, MHz, GHz, THz

in — inch

Symbol: in

Definition: x in = (2.54 x) cm

Wolfram Language: "Inches"

Derived units: ft, psi

Quantities	Display Units
AngularImpulseFlowRate, AngularMomentumFlux, Torque	ozf⋅in, lbf⋅in
Area, AtomicAttenuationCoefficient, NuclearQuadrupoleMoment	in²
Density, MassConcentration	lb/in³
Length, SLength, Wavelength	in

Btuⁱ — International table British thermal unit

Symbol: ITBtu

Definition: x Btuⁱ = (4.1868 x) J⋅lb⋅°Rk/(g⋅K)

Wolfram Language:
"InternationalTableBritishThermalUnits"

Derived units: kBtuⁱ

Quantities	Display Units
Energy, Work	Btuⁱ

kBtuⁱ — 1000 International table British thermal unit

Symbol: ITkBtu

Definition: x kBtuⁱ = (1000 x) Btuⁱ

Wolfram Language:
"Kilo" "InternationalTableBritishThermalUnits"

Quantities	Display Units
Energy, Work	kBtuⁱ

J — joule

Symbol: J (prefixable)

Definition: x J = x N⋅m

Wolfram Language: "Joules"

Derived units: W, Gy, eV, cal, Sv, Btuⁱ

Quantities	Display Units
Affinity, ChemicalPotential, DerEnergyByMoles, MolarEnergy, MolarEnthalpy	J/mol
DensityOfStates, IsothermalCompressibility	J^-1/m^-3
DerEntropyByMoles, MolarEntropy, MolarHeatCapacity	J/(mol⋅K)
DerPressureByDensity, DoseEquivalent	J/kg, J/g
Energy, LevelWidth, Work	mJ, J, kJ, MJ
EnergyDensity	J/m³
EnergyFluence	J/m²
Entropy, HeatCapacity, MassieuFunction, PlanckFunction	J/K
EntropyFlowRate	J/(K⋅s)
GyromagneticCoefficient	A⋅m²/(J⋅s)
LinearEnergyTransfer, TotalLinearStoppingPower	J/m
SpecificEntropy, SpecificHeatCapacity	J/(kg⋅K)
SpectralAngularCrossSection	m²/(sr⋅J)
SpectralCrossSection	m²/J
SpectralRadiantEnergyDensity	J/m⁴
TotalAtomicStoppingPower	J⋅m²
TotalMassStoppingPower	J⋅m²/kg

K — kelvin

Symbol: K (prefixable)

Base unit

Default kind of quantity: Absolute

Wolfram Language: "Kelvins"

Derived units: Btuₜₕ, °C, °Rk, Btuⁱ

Quantities	Display Units
CoefficientOfHeatTransfer	W/(m²⋅K)
CubicExpansionCoefficient, IsobaricVolumeExpansionCoefficient, IsochoricPressureCoefficient, LinearExpansionCoefficient, LinearIonization, LinearTemperatureCoefficient, RelativePressureCoefficient	1/K
DerEntropyByMoles, MolarEntropy, MolarHeatCapacity	J/(mol⋅K)
DerPressureByTemperature, PressureCoefficient	Pa/K
Entropy, HeatCapacity, MassieuFunction, PlanckFunction	J/K
EntropyFlowRate	J/(K⋅s)
LinearTemperatureCoefficientResistance	Ω/K
LorenzCoefficient	V²/K²
QuadraticTemperatureCoefficient	1/K²
QuadraticTemperatureCoefficientResistance	Ω/K²
RichardsonConstant	A/(m²⋅K²)
SeebeckCoefficient, ThomsonCoefficient	V/K
SpecificEntropy, SpecificHeatCapacity	J/(kg⋅K)
TemperatureSlope	K/s
ThermalConductance	W/K
ThermalConductivity	W/(m⋅K)
ThermalInsulance	m²⋅K/W
ThermalResistance	K/W
ThermodynamicTemperature	K

kat — katal

Symbol: kat (prefixable)

Definition: x kat = x mol/s

Wolfram Language: "Katals"

Unit does not appear in the display units configured for any quantity.

kg — kilogram

Symbol: kg

Base unit

Wolfram Language: "Kilograms"

Derived units: N, Gy, g, Sv, lb

Quantities	Display Units
AngularMomentum	kg⋅m²/s
Density, MassConcentration	kg/m³, kg/L, kg/dm³
DerPressureByDensity, DoseEquivalent	J/kg
Exposure	C/kg
ExposureRate	C/(kg⋅s)
HydraulicConductance	kg/(s⋅Pa)
HydraulicResistance	Pa⋅s/kg
LinearDensity	kg/m
Mass	kg
MassAttenuationCoefficient, MassEnergyTransferCoefficient	m²/kg
MassFlowRate	kg/min, kg/s
MeanMassRange, SurfaceDensity	kg/m²
Molality	mol/kg
Molar mass, MolarMass	kg/mol
MomentOfInertia	kg⋅cm², kg⋅m²
Momentum	kg⋅m/s
SpecificActivity	Bq/kg
SpecificEntropy, SpecificHeatCapacity	J/(kg⋅K)
SpecificVolume	m³/kg
TotalMassStoppingPower	J⋅m²/kg

kn — knot

Symbol: kn

Definition: x kn = x nmi/h

Wolfram Language: "Knots"

Quantities	Display Units
Velocity	kn

l — liter

Alternative unit symbol with lower case letter.

Symbol: l (prefixable)

Definition: x l = x L

Wolfram Language: "Liters"

Unit does not appear in the display units configured for any quantity.

L — liter

Symbol: L (prefixable)

Definition: x L = x dm³

Wolfram Language: "Liters"

Derived units: floz, UKfloz, l

Quantities	Display Units
Concentration, MolarDensity	pmol/L, nmol/L, μmol/L, mmol/L, mol/L
Density, MassConcentration	mg/mL, kg/L
DerEnergyByPressure, Volume	mL, L
RecombinationCoefficient, VolumeFlowRate	L/s

lb — international avoirdupois pound

Symbol: lb

Definition: x lb = (0.453592 x) kg

Wolfram Language: "Pounds"

Derived units: Btuₜₕ, oz, st, Btuⁱ

Quantities	Display Units
Density, MassConcentration	lb/ft³, lb/in³
Mass	lb
MassFlowRate	lb/s
MomentOfInertia	lb⋅ft²

lbf — pound-force

Symbol: lbf

Definition: x lbf = (4.44822 x) N

Wolfram Language: "PoundsForce"

Derived units: psi, ozf

Quantities	Display Units
AngularImpulseFlowRate, AngularMomentumFlux, Torque	lbf⋅in, lbf⋅ft
Energy, Work	ft⋅lbf
Force, ImpulseFlowRate, MomentumFlux	lbf
MechanicalImpedance, TranslationalDampingConstant	lbf/(ft/s)
Power	ft⋅lbf/s
RotationalDampingConstant	lbf⋅ft/(rad/s)

lm — lumen

Symbol: lm (prefixable)

Definition: x lm = x cd⋅sr

Wolfram Language: "Lumens"

Derived units: lx

Quantities	Display Units
LuminousEfficacy, SpectralLuminousEfficacy	lm/W
LuminousExitance	lm/m²
LuminousFlux	mlm, clm, dlm, lm, klm
QuantityOfLight	lm⋅s

lx — lux

Symbol: lx (prefixable)

Definition: x lx = x lm/m²

Wolfram Language: "Lux"

Quantities	Display Units
Illuminance	mlx, lx
LightExposure	lx⋅s

m — meter

Symbol: m (prefixable)

Base unit

Wolfram Language: "Meters"

Derived units: J, L, N, ESUdebye, dyn, nmi, lx, CGSstatC, in, CGSdebye, Pa, T

Quantities	Display Units
Acceleration	m/s²
AcceptorNumberDensity, DonorNumberDensity, ElectronNumberDensity, HoleNumberDensity, IntrinsicNumberDensity, IonNumberDensity, MolecularConcentration, NeutronNumberDensity, NumberDensityOfMolecules	1/m³
AcousticImpedance	Pa⋅s/m³
AngularCrossSection	m²/sr
AngularImpulse	N⋅m⋅s
AngularImpulseFlowRate, AngularMomentumFlux, Torque	N⋅cm, N⋅m
AngularMomentum	kg⋅m²/s
Area, AtomicAttenuationCoefficient, NuclearQuadrupoleMoment	cm², m²
AreaPerVoltageSecond	cm²/(V⋅s)
AttenuationCoefficient, CircularWavenumber, DebyeCircularWavenumber, FermiCircularWavenumber, LinearAbsorptionCoefficient, MacroscopicCrossSection, PhaseCoefficient, PropagationCoefficient, TotalMacroscopicCrossSection, WaveNumber	1/m
CapacitancePerArea	F/m²
CircularWaveNumber	rad/m
CoefficientOfHeatTransfer	W/(m²⋅K)
Concentration, MolarDensity	mol/m³
Conductivity, ElectrolyticConductivity	S/m
CurrentDensity	A/m²
CurrentDensityOfParticles, NeutronFluenceRate	1/(m²⋅s)
Density, MassConcentration	kg/m³, kg/dm³, g/cm³
DensityOfHeatFlowRate, EnergyFluenceRate, HeatFlux, Irradiance, PoyntingVector, RadiantEnergyFluenceRate, RadiantExitance, SoundIntensity	W/m²
DensityOfStates, IsothermalCompressibility	J^-1/m^-3
DerEnergyByPressure, SectionModulus	cm³, dm³, m³, m⁴/m
DerVolumeByMoles, MolarVolume	m³/mol
DiffusionCoefficient, KinematicViscosity, ParticleFluenceRate, ThermalDiffusionCoefficient, ThermalDiffusivity	m²/s
ElectricalTorqueConstant	N⋅m/A
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule	C⋅m
ElectricFieldStrength, Electrization	V/m
ElectricFluxDensity, ElectricPolarization, SurfaceDensityOfCharge	C/m²
ElectricPolarizabilityOfAMolecule	C⋅m²/V
ElectromagneticMoment, MagneticMomentOfParticle	A⋅m²
EnergyDensity	J/m³
EnergyFluence	J/m²
GyromagneticCoefficient	A⋅m²/(J⋅s)
HallCoefficient	m³/C
Jerk	m/s³
Length, SLength, Wavelength	μm, mm, cm, m, km
LinearCurrentDensity, MagneticFieldStrength, Magnetization	A/m
LinearDensity	kg/m
LinearEnergyTransfer, TotalLinearStoppingPower	J/m
LinearIonization	1/m, rad/m
Luminance	cd/m²
LuminousExitance	lm/m²
MagneticDipoleMoment	Wb⋅m
MagneticVectorPotential	Wb/m
MassAttenuationCoefficient, MassEnergyTransferCoefficient	m²/kg
MeanMassRange, SurfaceDensity	kg/m²
MechanicalImpedance, TranslationalDampingConstant	N/(m/s), kN⋅s/m
Mobility	m²/(V⋅s)
MolarAbsorptionCoefficient, MolarAttenuationCoefficient	m²/mol
MolarConductivity	S⋅m²/mol
MomentOfInertia	kg⋅cm², kg⋅m²
Momentum	kg⋅m/s
ParticleFluence	1/m²
PerArea	1/m², 1/cm²
Permeability	H/m
Permittivity	F/m
Radiance	W/(sr⋅m²)
RecombinationCoefficient, VolumeFlowRate	m³/d, m³/h, m³/min, m³/s
ResidualResistivity, Resistivity	Ω⋅m
RichardsonConstant	A/(m²⋅K²)
RotationalDampingConstant	N⋅m/(rad/s)
RotationalSpringConstant	N⋅m/rad
SecondMomentOfArea	m⁴
SlowingDownDensity, TotalNeutronSourceDensity	1/(s⋅m³)
SpecificAcousticImpedance	Pa⋅s/m
SpecificVolume	m³/kg
SpectralAngularCrossSection	m²/(sr⋅J)
SpectralConcentration	s/m³
SpectralCrossSection	m²/J
SpectralRadiantEnergyDensity	J/m⁴
SurfaceTension, TranslationalSpringConstant	N/m
ThermalConductivity	W/(m⋅K)
ThermalInsulance	m²⋅K/W
TotalAtomicStoppingPower	J⋅m²
TotalMassStoppingPower	J⋅m²/kg
Velocity	km/h, m/s
Volume	cm³, dm³, m³
VolumeDensityOfCharge	C/m³

mbar — millibar

Isolated prefix variant of the bar symbol.

Symbol: mbar

Definition: x mbar = (0.001 x) bar

Wolfram Language: "Millibars"

Quantities	Display Units
Fugacity, Pressure	mbar

mi — international mile

Symbol: mi

Definition: x mi = (1760 x) yd

Wolfram Language: "Miles"

Derived units: mph

Quantities	Display Units
Length, SLength, Wavelength	mi

min — minute

Symbol: min

Definition: x min = (60 x) s

Wolfram Language: "Minutes"

Derived units: h, rpm

Quantities	Display Units
1/Modelica.Units.SI.Time, DecayConstant	1/min
AngularFrequency, AngularVelocity	rad/min, rev/min
Energy, Work	W⋅min
MassFlowRate	kg/min
Rate	1/min, rad/min, rev/min
RecombinationCoefficient, VolumeFlowRate	m³/min
Time	min

mol — mole

Symbol: mol (prefixable)

Base unit

Wolfram Language: "Moles"

Derived units: kat

Quantities	Display Units
Affinity, ChemicalPotential, DerEnergyByMoles, MolarEnergy, MolarEnthalpy	J/mol
AmountOfSubstance	pmol, nmol, μmol, mmol, mol
Concentration, MolarDensity	pmol/L, nmol/L, μmol/L, mmol/L, mol/m³, mol/L
DerEntropyByMoles, MolarEntropy, MolarHeatCapacity	J/(mol⋅K)
DerVolumeByMoles, MolarVolume	m³/mol
FaradayConstant	C/mol
Molality	mol/kg
Molar mass, MolarMass	kg/mol
MolarAbsorptionCoefficient, MolarAttenuationCoefficient	m²/mol
MolarConductivity	S⋅m²/mol
MolarFlowRate	mol/s

mph — miles per hour

Symbol: mph

Definition: x mph = x mi/h

Wolfram Language: "Miles" / "Hours"

Quantities	Display Units
Velocity	mph

N — newton

Symbol: N (prefixable)

Definition: x N = x m⋅kg/s²

Wolfram Language: "Newtons"

Derived units: J, lbf, Pa

Quantities	Display Units
AngularImpulse	N⋅m⋅s
AngularImpulseFlowRate, AngularMomentumFlux, Torque	N⋅cm, N⋅m
ElectricalForceConstant	N/A
ElectricalTorqueConstant	N⋅m/A
Force, ImpulseFlowRate, MomentumFlux	mN, N, kN, MN
Impulse	N⋅s
MechanicalImpedance, TranslationalDampingConstant	N/(m/s), kN⋅s/m
RotationalDampingConstant	N⋅m/(rad/s)
RotationalSpringConstant	N⋅m/rad
SurfaceTension, TranslationalSpringConstant	N/m

nmi — nautical mile

Symbol: nmi

Definition: x nmi = (1852 x) m

Wolfram Language: "NauticalMiles"

Derived units: kn

Unit does not appear in the display units configured for any quantity.

Ω — ohm

Symbol: Ohm (prefixable)

Definition: x Ω = x V/A

Wolfram Language: "Ohms"

Quantities	Display Units
LinearTemperatureCoefficientResistance	Ω/K
QuadraticTemperatureCoefficientResistance	Ω/K²
ResidualResistivity, Resistivity	Ω⋅m
Resistance	mΩ, Ω, kΩ, MΩ

oz — avoirdupois ounce

Symbol: oz

Definition: x oz = (0.0625 x) lb

Wolfram Language: "Ounces"

Unit does not appear in the display units configured for any quantity.

ozf — ounce-force

Symbol: ozf

Definition: x ozf = (0.0625 x) lbf

Wolfram Language: "OuncesForce"

Quantities	Display Units
AngularImpulseFlowRate, AngularMomentumFlux, Torque	ozf⋅in
Force, ImpulseFlowRate, MomentumFlux	ozf

Pa — pascal

Symbol: Pa (prefixable)

Definition: x Pa = x N/m²

Wolfram Language: "Pascals"

Derived units: atm, bar

Quantities	Display Units
AcousticImpedance	Pa⋅s/m³
Compressibility, IsothermalCompressibility	1/Pa
DerPressureByTemperature, PressureCoefficient	Pa/K
DynamicViscosity	Pa⋅s
Fugacity, Pressure	Pa, kPa, MPa
HydraulicConductance	kg/(s⋅Pa)
HydraulicResistance	Pa⋅s/kg
SpecificAcousticImpedance	Pa⋅s/m

% — per cent

Symbol: percent

Definition: x % = (0.01 x) 1

Wolfram Language: "Percent"

Quantities	Display Units
BindingFraction, IsenthalpicExponent, MassFraction, MoleFraction, PackingFraction, VolumeFraction	%

‰ — per mille

Symbol: permille

Definition: x ‰ = (0.001 x) 1

Wolfram Language: "PerMil"

Quantities	Display Units
BindingFraction, IsenthalpicExponent, MassFraction, MoleFraction, PackingFraction, VolumeFraction	‰

phon — phon

Logarithmic unit of loudness.

Symbol: phon

Base unit

Wolfram Language: "Phons"

Quantities	Display Units
LoudnessLevel	phon

ppm — parts per million

Symbol: ppm

Definition: x ppm = (1e-06 x) 1

Wolfram Language: "PartsPerMillion"

Quantities	Display Units
BindingFraction, IsenthalpicExponent, MassFraction, MoleFraction, PackingFraction, VolumeFraction	ppm

psi — pound-force per square inch

Symbol: psi

Definition: x psi = x lbf/in²

Wolfram Language:
"PoundsForce" / Power["Inches", 2]

Quantities	Display Units
Fugacity, Pressure	psi

rad — radian

Symbol: rad

Definition: x rad = x 1

Wolfram Language: "Radians"

Derived units: rev, °

Quantities	Display Units
Angle, IsenthalpicExponent	rad
AngularAcceleration	rad/s²
AngularFrequency, AngularVelocity, Rate	rad/min, rad/s
AngularJerk	rad/s³
CircularWaveNumber, LinearIonization	rad/m
RotationalDampingConstant	N⋅m/(rad/s), lbf⋅ft/(rad/s)
RotationalSpringConstant	N⋅m/rad

Rd — rutherford

Symbol: Rd (prefixable)

Definition: x Rd = (1e+06 x) Bq

Wolfram Language: "Rutherfords"

Quantities	Display Units
Activity, Rate	Rd

rem — roentgen equivalent man

Symbol: rem (prefixable)

Definition: x rem = (0.01 x) Sv

Wolfram Language: "Rems"

Quantities	Display Units
DerPressureByDensity, DoseEquivalent	rem

rev — revolution

Symbol: rev

Definition: x rev = (6.28319 x) rad

Wolfram Language: "FullAngle"

Derived units: rpm, Hz/2π

Quantities	Display Units
AngularFrequency, AngularVelocity, Rate	rev/min

Hz/2π — revolution hertz

Symbol: revHz (prefixable)

Definition: x Hz/2π = x rev⋅Hz

Wolfram Language: "FullAngle" / "Seconds"

Quantities	Display Units
AngularFrequency, AngularVelocity, Rate	Hz/2π

rpm — revolutions per minute

Symbol: rpm

Definition: x rpm = x rev/min

Wolfram Language: "FullAngle" / "Minutes"

Quantities	Display Units
AngularFrequency, AngularVelocity, Rate	rpm

s — second

Symbol: s (prefixable)

Base unit

Wolfram Language: "Seconds"

Derived units: W, Bq, min, kat, N, Wb, Hz, dyn, C

Quantities	Display Units
1/Modelica.Units.SI.ElectricCharge	1/(A⋅s)
1/Modelica.Units.SI.Time, DampingCoefficient, DecayConstant	1/s
AbsorbedDoseRate, KermaRate	Gy/s
Acceleration	ft/s², m/s²
AcousticImpedance	Pa⋅s/m³
AngularAcceleration	°/s², rad/s²
AngularFrequency, AngularVelocity	°/s, rad/s
AngularImpulse	N⋅m⋅s
AngularJerk	rad/s³
AngularMomentum	kg⋅m²/s
AreaPerVoltageSecond	cm²/(V⋅s)
CurrentDensityOfParticles, NeutronFluenceRate	1/(m²⋅s)
CurrentSlope	A/s
DiffusionCoefficient, KinematicViscosity, ParticleFluenceRate, ThermalDiffusionCoefficient, ThermalDiffusivity	m²/s
DynamicViscosity	Pa⋅s
Energy, Work	W⋅s
EntropyFlowRate	J/(K⋅s)
ExposureRate	C/(kg⋅s)
GyromagneticCoefficient	A⋅m²/(J⋅s)
HydraulicConductance	kg/(s⋅Pa)
HydraulicResistance	Pa⋅s/kg
Impulse	N⋅s
Jerk	m/s³
LightExposure	lx⋅s
MagneticFluxDensitySlope	mT/s, T/s, kT/s
MassFlowRate	g/s, lb/s, kg/s
MechanicalImpedance, TranslationalDampingConstant	N/(m/s), lbf/(ft/s), kN⋅s/m
Mobility	m²/(V⋅s)
MolarFlowRate	mol/s
Momentum	kg⋅m/s
Power	ft⋅lbf/s
PressureRate	bar/s
QuantityOfLight	lm⋅s
Rate	°/s, 1/s, rad/s
RecombinationCoefficient, VolumeFlowRate	L/s, m³/s
RotationalDampingConstant	N⋅m/(rad/s), lbf⋅ft/(rad/s)
SlowingDownDensity, TotalNeutronSourceDensity	1/(s⋅m³)
SpecificAcousticImpedance	Pa⋅s/m
SpectralConcentration	s/m³
TemperatureSlope	K/s
Time	μs, ms, s
Velocity	ft/s, m/s
VoltageSecond	V⋅s
VoltageSlope	V/s

S — siemens

Symbol: S (prefixable)

Definition: x S = x A/V

Wolfram Language: "Siemens"

Quantities	Display Units
Conductance	mS, dS, S, kS
Conductivity, ElectrolyticConductivity	S/m
LogarithmicDecrement	1/S
MolarConductivity	S⋅m²/mol

sone — sone

Linear unit of loudness.

Symbol: sone

Base unit

Wolfram Language: "Sones"

Quantities	Display Units
Loudness	sone

sr — steradian

Symbol: sr (prefixable)

Definition: x sr = x m²/m²

Wolfram Language: "Steradians"

Derived units: lm

Quantities	Display Units
AngularCrossSection	m²/sr
IsenthalpicExponent, SolidAngle	sr
Radiance	W/(sr⋅m²)
RadiantIntensity	W/sr
SpectralAngularCrossSection	m²/(sr⋅J)

st — stone

Symbol: stone

Definition: x st = (14 x) lb

Wolfram Language: "Stones"

Unit does not appear in the display units configured for any quantity.

Sv — sievert

Symbol: Sv (prefixable)

Definition: x Sv = x J/kg

Wolfram Language: "Sieverts"

Derived units: rem

Quantities	Display Units
DerPressureByDensity, DoseEquivalent	mSv, Sv

T — tesla

Symbol: T (prefixable)

Definition: x T = x Wb/m²

Wolfram Language: "Teslas"

Quantities	Display Units
MagneticFluxDensity, MagneticPolarization	mT, T, kT
MagneticFluxDensitySlope	mT/s, T/s, kT/s

Btuₜₕ — Thermochemical British thermal unit

Symbol: TCBtu

Definition: x Btuₜₕ = x cal⋅lb⋅°Rk/(g⋅K)

Wolfram Language:
"ThermochemicalBritishThermalUnits"

Derived units: kBtuₜₕ

Quantities	Display Units
Energy, Work	Btuₜₕ

kBtuₜₕ — 1000 Thermochemical British thermal unit

Symbol: TCkBtu

Definition: x kBtuₜₕ = (1000 x) Btuₜₕ

Wolfram Language:
"Kilo" "ThermochemicalBritishThermalUnits"

Quantities	Display Units
Energy, Work	kBtuₜₕ

UKfloz — imperial fluid ounce

Symbol: UKfloz

Definition: x UKfloz = (28.4131 x) mL

Wolfram Language: "FluidOuncesUK"

Derived units: UKgal

Unit does not appear in the display units configured for any quantity.

UKgal — imperial gallon

Symbol: UKgal

Definition: x UKgal = (160 x) UKfloz

Wolfram Language: "GallonsUK"

Quantities	Display Units
DerEnergyByPressure, Volume	UKgal

V — volt

Symbol: V (prefixable)

Definition: x V = x W/A

Wolfram Language: "Volts"

Derived units: S, Wb, Ω, var, F

Quantities	Display Units
AreaPerVoltageSecond	cm²/(V⋅s)
ElectricFieldStrength, Electrization	V/m
ElectricPolarizabilityOfAMolecule	C⋅m²/V
ElectricPotential, PeltierCoefficient, ThermoelectromotiveForce	mV, V, kV
InversePotential	1/V
LorenzCoefficient	V²/K²
Mobility	m²/(V⋅s)
Power	V⋅A
SeebeckCoefficient, ThomsonCoefficient	V/K
Transconductance	A/V²
VoltageSecond	V⋅s
VoltageSlope	V/s

var — volt-ampere reactive

Note: It is debated whether this should be a base unit or not.

Symbol: var (prefixable)

Definition: x var = x V⋅A

Wolfram Language: "VAs"

Quantities	Display Units
Power	var

W — watt

Symbol: W (prefixable)

Definition: x W = x J/s

Wolfram Language: "Watts"

Derived units: hpS, hpM, hpE, V, hpI

Quantities	Display Units
CoefficientOfHeatTransfer	W/(m²⋅K)
DensityOfHeatFlowRate, EnergyFluenceRate, HeatFlux, Irradiance, PoyntingVector, RadiantEnergyFluenceRate, RadiantExitance, SoundIntensity	W/m²
Energy, Work	W⋅s, W⋅min, W⋅h, kW⋅h
EnthalpyFlowRate, Power	mW, W, kW, MW
LuminousEfficacy, SpectralLuminousEfficacy	lm/W
Radiance	W/(sr⋅m²)
RadiantIntensity	W/sr
ThermalConductance	W/K
ThermalConductivity	W/(m⋅K)
ThermalInsulance	m²⋅K/W
ThermalResistance	K/W

Wb — weber

Symbol: Wb (prefixable)

Definition: x Wb = x V⋅s

Wolfram Language: "Webers"

Derived units: H, T

Quantities	Display Units
FluxoidQuantum, MagneticFlux	Wb, kWb
MagneticDipoleMoment	Wb⋅m
MagneticVectorPotential	Wb/m

yd — yard

Symbol: yd

Definition: x yd = (3 x) ft

Wolfram Language: "Yards"

Derived units: mi

Quantities	Display Units
Length, SLength, Wavelength	yd

yr — vague year

365 days.

Symbol: yr

Definition: x yr = (365 x) d

Wolfram Language: "Years"

Quantities	Display Units
1/Modelica.Units.SI.Time, DecayConstant, Rate	1/yr
Time	yr

More Learning

Tech Support

Educational Programs for Adults

Educational Programs for Youth

Events

Wolfram Initiatives

Educational Resources

Hobbies & Projects

Wolfram Solutions

Wolfram Solutions For Education

Get Started

Grow Your Skills

Work with Us

Read

Educational Programs for Adults

Educational Programs for Youth

Events

Units of Measurement | Modelica