Units of Measurement | ModelicaServices
Table of Contents
SI Unit Symbols
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
Unit Symbols
A — ampere
Symbol: A (prefixable)
Base unit
Wolfram Language: "Amperes"
atm — standard atmosphere
bar — bar
Bq — becquerel
C — coulomb
Wolfram Language: "Coulombs"
cal — thermochemical calorie
cd — candela
CGSdebye — debye
In other contexts, sometimes denoted with symbol D.
Wolfram Language:
"Atto" "Centimeters"^(5/2) "Grams"^(1/2) / "Seconds"
"Atto" "Centimeters"^(5/2) "Grams"^(1/2) / "Seconds"
Quantities | Display Units |
---|---|
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule | CGSdebye |
CGSFr — franklin
Alternative name for statcoulomb (CGSstatC).
Symbol: CGSFr
Wolfram Language:
"Centimeters"^(3/2) "Grams"^(1/2) / "Seconds"
"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).
Wolfram Language:
"Centimeters"^(3/2) "Grams"^(1/2) / "Seconds"
"Centimeters"^(3/2) "Grams"^(1/2) / "Seconds"
Quantities | Display Units |
---|---|
ElectricCharge, ElectricFlux, ElementaryCharge | CGSstatC |
Ci — curie
d — day
Symbol: d
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
debye — debye of charge
Alternative name for debye of charge (ESUdebye).
Symbol: debye
Wolfram Language: "Debyes"
Quantities | Display Units |
---|---|
ElectricDipoleMoment, ElectricDipoleMomentOfMolecule | debye |
° — degree
Symbol: deg
Wolfram Language: "AngularDegrees"
Quantities | Display Units |
---|---|
Angle, IsenthalpicExponent | ° |
AngularAcceleration | °/s2 |
AngularFrequency, AngularVelocity, Rate | °/s |
°C — degree Celsius
Symbol: degC
Default kind of quantity: Absolute
Wolfram Language: "DegreesCelsius"
Quantities | Display Units |
---|---|
ThermodynamicTemperature | °C |
°F — degree Fahrenheit
Symbol: degF
Default kind of quantity: Absolute
Wolfram Language: "DegreesFahrenheit"
Quantities | Display Units |
---|---|
ThermodynamicTemperature | °F |
°Rk — degree Rankine
dyn — dyne
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
Wolfram Language:
"Statcoulombs" ("Radians" "Pints") / ("FullAngle" "Quarts")
"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)
Wolfram Language:
"Statcoulombs" ("Radians" "Pints") / ("FullAngle" "Quarts")
"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.
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
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)
Wolfram Language: "Statcoulombs"
Quantities | Display Units |
---|---|
ElectricCharge, ElementaryCharge | ESUstatC |
eV — electronvolt
F — farad
Wolfram Language: "Farads"
Quantities | Display Units |
---|---|
Capacitance | pF, nF, μF, mF, F |
CapacitancePerArea | F/m2 |
Permittivity | F/m |
floz — US fluid ounce
ft — foot
Symbol: ft
Wolfram Language: "Feet"
Derived units: yd
g — gram
gal — US gallon
Gy — gray
Wolfram Language: "Grays"
Quantities | Display Units |
---|---|
AbsorbedDose, DerPressureByDensity, Kerma, SpecificEnergy | mGy, Gy |
AbsorbedDoseRate, KermaRate | Gy/s |
h — hour
H — henry
Wolfram Language: "Henries"
Quantities | Display Units |
---|---|
Inductance, Permeance | pH, nH, μH, mH, H, kH |
Permeability | H/m |
Reluctance | 1/H |
hpE — electrical horsepower
hpI — imperial horsepower
hpM — metric horsepower
hpS — steam horsepower
Hz — hertz
in — inch
Symbol: in
Wolfram Language: "Inches"
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
kBtuⁱ — 1000 International table British thermal unit
J — joule
Wolfram Language: "Joules"
K — kelvin
Symbol: K (prefixable)
Base unit
Default kind of quantity: Absolute
Wolfram Language: "Kelvins"
kat — katal
kg — kilogram
Symbol: kg
Base unit
Wolfram Language: "Kilograms"
kn — knot
l — liter
Alternative unit symbol with lower case letter.
Symbol: l (prefixable)
Wolfram Language: "Liters"
Unit does not appear in the display units configured for any quantity.
L — liter
Symbol: L (prefixable)
Wolfram Language: "Liters"
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
lbf — pound-force
Symbol: lbf
Wolfram Language: "PoundsForce"
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
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
Wolfram Language: "Lux"
Quantities | Display Units |
---|---|
Illuminance | mlx, lx |
LightExposure | lx⋅s |
m — meter
Symbol: m (prefixable)
Base unit
Wolfram Language: "Meters"
mbar — millibar
mi — international mile
min — minute
Symbol: min
Wolfram Language: "Minutes"
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
N — newton
Wolfram Language: "Newtons"
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
Ω — ohm
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
Wolfram Language: "Ounces"
Unit does not appear in the display units configured for any quantity.
ozf — ounce-force
Symbol: ozf
Wolfram Language: "OuncesForce"
Quantities | Display Units |
---|---|
AngularImpulseFlowRate, AngularMomentumFlux, Torque | ozf⋅in |
Force, ImpulseFlowRate, MomentumFlux | ozf |
Pa — pascal
Wolfram Language: "Pascals"
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
rad — radian
Symbol: rad
Definition: x rad = x 1
Wolfram Language: "Radians"
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
rem — roentgen equivalent man
Symbol: rem (prefixable)
Wolfram Language: "Rems"
Quantities | Display Units |
---|---|
DerPressureByDensity, DoseEquivalent | rem |
rev — revolution
Symbol: rev
Wolfram Language: "FullAngle"
Quantities | Display Units |
---|---|
AngularFrequency, AngularVelocity, Rate | rev/min |
Hz/2π — revolution hertz
Wolfram Language: "FullAngle" / "Seconds"
Quantities | Display Units |
---|---|
AngularFrequency, AngularVelocity, Rate | Hz/2π |
rpm — revolutions per minute
Wolfram Language: "FullAngle" / "Minutes"
Quantities | Display Units |
---|---|
AngularFrequency, AngularVelocity, Rate | rpm |
s — second
Symbol: s (prefixable)
Base unit
Wolfram Language: "Seconds"
S — siemens
Wolfram Language: "Siemens"
Quantities | Display Units |
---|---|
Conductance | mS, dS, S, kS |
Conductivity, ElectrolyticConductivity | S/m |
LogarithmicDecrement | 1/S |
MolarConductivity | S⋅m2/mol |
sone — sone
sr — steradian
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
Wolfram Language: "Stones"
Unit does not appear in the display units configured for any quantity.
Sv — sievert
Wolfram Language: "Sieverts"
Derived units: rem
Quantities | Display Units |
---|---|
DerPressureByDensity, DoseEquivalent | mSv, Sv |
T — tesla
Wolfram Language: "Teslas"
Quantities | Display Units |
---|---|
MagneticFluxDensity, MagneticPolarization | mT, T, kT |
MagneticFluxDensitySlope | mT/s, T/s, kT/s |
Btuₜₕ — Thermochemical British thermal unit
kBtuₜₕ — 1000 Thermochemical British thermal unit
UKfloz — imperial fluid ounce
UKgal — imperial gallon
Symbol: UKgal
Wolfram Language: "GallonsUK"
Quantities | Display Units |
---|---|
DerEnergyByPressure, Volume | UKgal |
V — volt
Wolfram Language: "Volts"
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
W — watt
Wolfram Language: "Watts"
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
Wolfram Language: "Webers"
Quantities | Display Units |
---|---|
FluxoidQuantum, MagneticFlux | Wb, kWb |
MagneticDipoleMoment | Wb⋅m |
MagneticVectorPotential | Wb/m |
yd — yard
yr — vague year
365 days.
Symbol: yr
Wolfram Language: "Years"
Quantities | Display Units |
---|---|
1/Modelica.Units.SI.Time, DecayConstant, Rate | 1/yr |
Time | yr |