WOLFRAM SYSTEMMODELER

SIunits

Library of type and unit definitions based on SI units according to ISO 31-1992

Package Contents

UsersGuide

User's Guide of SIunits Library

Icons

Icons for SIunits

Conversions

Conversion functions to/from non SI units and type definitions of non SI units

Angle (rad)

SolidAngle (sr)

Length (m)

PathLength (m)

Position (m)

Distance (m)

Breadth (m)

Height (m)

Thickness (m)

Radius (m)

Diameter (m)

Area (m2)

Volume (m3)

Time (s)

Duration (s)

AngularVelocity (rad/s)

AngularAcceleration (rad/s2)

Velocity (m/s)

Acceleration (m/s2)

Period (s)

Frequency (Hz)

AngularFrequency (rad/s)

Wavelength (m)

Wavelenght (m)

WaveNumber (m-1)

CircularWaveNumber (rad/m)

AmplitudeLevelDifference (dB)

PowerLevelDifference (dB)

DampingCoefficient (s-1)

LogarithmicDecrement (1/S)

AttenuationCoefficient (m-1)

PhaseCoefficient (m-1)

PropagationCoefficient (m-1)

Damping (s-1)

Mass (kg)

Density (kg/m3)

RelativeDensity

SpecificVolume (m3/kg)

LinearDensity (kg/m)

SurfaceDensity (kg/m2)

Momentum (kg.m/s)

Impulse (N.s)

AngularMomentum (kg.m2/s)

AngularImpulse (N.m.s)

MomentOfInertia (kg.m2)

Inertia (kg.m2)

Force (N)

TranslationalSpringConstant (N/m)

TranslationalDampingConstant (N.s/m)

Weight (N)

Torque (N.m)

ElectricalTorqueConstant (N.m/A)

MomentOfForce (N.m)

ImpulseFlowRate (N)

AngularImpulseFlowRate (N.m)

RotationalSpringConstant (N.m/rad)

RotationalDampingConstant (N.m.s/rad)

Pressure (Pa)

AbsolutePressure (Pa)

PressureDifference (Pa)

BulkModulus (Pa)

Stress (Pa)

NormalStress (Pa)

ShearStress (Pa)

Strain

LinearStrain

ShearStrain

VolumeStrain

PoissonNumber

ModulusOfElasticity (Pa)

ShearModulus (Pa)

SecondMomentOfArea (m4)

SecondPolarMomentOfArea (m4)

SectionModulus (m3)

CoefficientOfFriction

DynamicViscosity (Pa.s)

KinematicViscosity (m2/s)

SurfaceTension (N/m)

Work (J)

Energy (J)

EnergyDensity (J/m3)

PotentialEnergy (J)

KineticEnergy (J)

Power (W)

EnergyFlowRate (W)

EnthalpyFlowRate (W)

Efficiency

MassFlowRate (kg/s)

VolumeFlowRate (m3/s)

MomentumFlux (N)

AngularMomentumFlux (N.m)

ThermodynamicTemperature (K)

Absolute temperature (use type TemperatureDifference for relative temperatures)

Temp_K (K)

Temperature (K)

TemperatureDifference (K)

Temp_C (degC)

TemperatureSlope (K/s)

LinearTemperatureCoefficient (1/K)

QuadraticTemperatureCoefficient (1/K2)

LinearExpansionCoefficient (1/K)

CubicExpansionCoefficient (1/K)

RelativePressureCoefficient (1/K)

PressureCoefficient (Pa/K)

Compressibility (1/Pa)

IsothermalCompressibility (1/Pa)

IsentropicCompressibility (1/Pa)

Heat (J)

HeatFlowRate (W)

HeatFlux (W/m2)

DensityOfHeatFlowRate (W/m2)

ThermalConductivity (W/(m.K))

CoefficientOfHeatTransfer (W/(m2.K))

SurfaceCoefficientOfHeatTransfer (W/(m2.K))

ThermalInsulance (m2.K/W)

ThermalResistance (K/W)

ThermalConductance (W/K)

ThermalDiffusivity (m2/s)

HeatCapacity (J/K)

SpecificHeatCapacity (J/(kg.K))

SpecificHeatCapacityAtConstantPressure (J/(kg.K))

SpecificHeatCapacityAtConstantVolume (J/(kg.K))

SpecificHeatCapacityAtSaturation (J/(kg.K))

RatioOfSpecificHeatCapacities

IsentropicExponent

Entropy (J/K)

EntropyFlowRate (J/(K.s))

SpecificEntropy (J/(kg.K))

InternalEnergy (J)

Enthalpy (J)

HelmholtzFreeEnergy (J)

GibbsFreeEnergy (J)

SpecificEnergy (J/kg)

SpecificInternalEnergy (J/kg)

SpecificEnthalpy (J/kg)

SpecificHelmholtzFreeEnergy (J/kg)

SpecificGibbsFreeEnergy (J/kg)

MassieuFunction (J/K)

PlanckFunction (J/K)

DerDensityByEnthalpy (kg.s2/m5)

DerDensityByPressure (s2/m2)

DerDensityByTemperature (kg/(m3.K))

DerEnthalpyByPressure (J.m.s2/kg2)

DerEnergyByDensity (J.m3/kg)

DerEnergyByPressure (J.m.s2/kg)

DerPressureByDensity (Pa.m3/kg)

DerPressureByTemperature (Pa/K)

ElectricCurrent (A)

Current (A)

CurrentSlope (A/s)

ElectricCharge (C)

Charge (C)

VolumeDensityOfCharge (C/m3)

SurfaceDensityOfCharge (C/m2)

ElectricFieldStrength (V/m)

ElectricPotential (V)

Voltage (V)

PotentialDifference (V)

ElectromotiveForce (V)

VoltageSecond (V.s)

Voltage second

VoltageSlope (V/s)

ElectricFluxDensity (C/m2)

ElectricFlux (C)

Capacitance (F)

CapacitancePerArea (F/m2)

Capacitance per area

Permittivity (F/m)

PermittivityOfVacuum (F/m)

RelativePermittivity

ElectricSusceptibility

ElectricPolarization (C/m2)

Electrization (V/m)

ElectricDipoleMoment (C.m)

CurrentDensity (A/m2)

LinearCurrentDensity (A/m)

MagneticFieldStrength (A/m)

MagneticPotential (A)

MagneticPotentialDifference (A)

MagnetomotiveForce (A)

CurrentLinkage (A)

MagneticFluxDensity (T)

MagneticFlux (Wb)

MagneticVectorPotential (Wb/m)

Inductance (H)

SelfInductance (H)

MutualInductance (H)

CouplingCoefficient

LeakageCoefficient

Permeability (H/m)

PermeabilityOfVacuum (H/m)

RelativePermeability

MagneticSusceptibility

ElectromagneticMoment (A.m2)

MagneticDipoleMoment (Wb.m)

Magnetization (A/m)

MagneticPolarization (T)

ElectromagneticEnergyDensity (J/m3)

PoyntingVector (W/m2)

Resistance (Ohm)

Resistivity (Ohm.m)

Conductivity (S/m)

Reluctance (H-1)

Permeance (H)

PhaseDifference (rad)

Impedance (Ohm)

ModulusOfImpedance (Ohm)

Reactance (Ohm)

QualityFactor

LossAngle (rad)

Conductance (S)

Admittance (S)

ModulusOfAdmittance (S)

Susceptance (S)

InstantaneousPower (W)

ActivePower (W)

ApparentPower (V.A)

ReactivePower (var)

PowerFactor

LinearTemperatureCoefficientResistance (Ohm/K)

First Order Temperature Coefficient

QuadraticTemperatureCoefficientResistance (Ohm/K2)

Second Order Temperature Coefficient

Transconductance (A/V2)

InversePotential (1/V)

ElectricalForceConstant (N/A)

RadiantEnergy (J)

RadiantEnergyDensity (J/m3)

SpectralRadiantEnergyDensity (J/m4)

RadiantPower (W)

RadiantEnergyFluenceRate (W/m2)

RadiantIntensity (W/sr)

Radiance (W/(sr.m2))

RadiantExtiance (W/m2)

Irradiance (W/m2)

Emissivity

SpectralEmissivity

DirectionalSpectralEmissivity

LuminousIntensity (cd)

LuminousFlux (lm)

QuantityOfLight (lm.s)

Luminance (cd/m2)

LuminousExitance (lm/m2)

Illuminance (lx)

LightExposure (lx.s)

LuminousEfficacy (lm/W)

SpectralLuminousEfficacy (lm/W)

LuminousEfficiency

SpectralLuminousEfficiency

CIESpectralTristimulusValues

ChromaticityCoordinates

SpectralAbsorptionFactor

SpectralReflectionFactor

SpectralTransmissionFactor

SpectralRadianceFactor

LinearAttenuationCoefficient (m-1)

LinearAbsorptionCoefficient (m-1)

MolarAbsorptionCoefficient (m2/mol)

RefractiveIndex

StaticPressure (Pa)

SoundPressure (Pa)

SoundParticleDisplacement (m)

SoundParticleVelocity (m/s)

SoundParticleAcceleration (m/s2)

VelocityOfSound (m/s)

SoundEnergyDensity (J/m3)

SoundPower (W)

SoundIntensity (W/m2)

AcousticImpedance (Pa.s/m3)

SpecificAcousticImpedance (Pa.s/m)

MechanicalImpedance (N.s/m)

SoundPressureLevel (dB)

SoundPowerLevel (dB)

DissipationCoefficient

ReflectionCoefficient

TransmissionCoefficient

AcousticAbsorptionCoefficient

SoundReductionIndex (dB)

EquivalentAbsorptionArea (m2)

ReverberationTime (s)

LoudnessLevel (phon)

Loudness (sone)

LoundnessLevel (phon)

Obsolete type, use LoudnessLevel instead!

Loundness (sone)

Obsolete type, use Loudness instead!

RelativeAtomicMass

RelativeMolecularMass

NumberOfMolecules

AmountOfSubstance (mol)

MolarMass (kg/mol)

MolarVolume (m3/mol)

MolarDensity (mol/m3)

MolarEnergy (J/mol)

MolarInternalEnergy (J/mol)

MolarHeatCapacity (J/(mol.K))

MolarEntropy (J/(mol.K))

MolarEnthalpy (J/mol)

MolarFlowRate (mol/s)

NumberDensityOfMolecules (m-3)

MolecularConcentration (m-3)

MassConcentration (kg/m3)

MassFraction

Concentration (mol/m3)

VolumeFraction

MoleFraction

ChemicalPotential (J/mol)

AbsoluteActivity

PartialPressure (Pa)

Fugacity (Pa)

StandardAbsoluteActivity

ActivityCoefficient

ActivityOfSolute

ActivityCoefficientOfSolute

StandardAbsoluteActivityOfSolute

ActivityOfSolvent

OsmoticCoefficientOfSolvent

StandardAbsoluteActivityOfSolvent

OsmoticPressure (Pa)

StoichiometricNumber

Affinity (J/mol)

MassOfMolecule (kg)

ElectricDipoleMomentOfMolecule (C.m)

ElectricPolarizabilityOfAMolecule (C.m2/V)

MicrocanonicalPartitionFunction

CanonicalPartitionFunction

GrandCanonicalPartitionFunction

MolecularPartitionFunction

StatisticalWeight

MeanFreePath (m)

DiffusionCoefficient (m2/s)

ThermalDiffusionRatio

ThermalDiffusionFactor

ThermalDiffusionCoefficient (m2/s)

ElementaryCharge (C)

ChargeNumberOfIon

FaradayConstant (C/mol)

IonicStrength (mol/kg)

DegreeOfDissociation

ElectrolyticConductivity (S/m)

MolarConductivity (S.m2/mol)

TransportNumberOfIonic

ProtonNumber

NeutronNumber

NucleonNumber

AtomicMassConstant (kg)

MassOfElectron (kg)

MassOfProton (kg)

MassOfNeutron (kg)

HartreeEnergy (J)

MagneticMomentOfParticle (A.m2)

BohrMagneton (A.m2)

NuclearMagneton (A.m2)

GyromagneticCoefficient (A.m2/(J.s))

GFactorOfAtom

GFactorOfNucleus

LarmorAngularFrequency (s-1)

NuclearPrecessionAngularFrequency (s-1)

CyclotronAngularFrequency (s-1)

NuclearQuadrupoleMoment (m2)

NuclearRadius (m)

ElectronRadius (m)

ComptonWavelength (m)

MassExcess (kg)

MassDefect (kg)

RelativeMassExcess

RelativeMassDefect

PackingFraction

BindingFraction

MeanLife (s)

LevelWidth (J)

Activity (Bq)

SpecificActivity (Bq/kg)

DecayConstant (s-1)

HalfLife (s)

AlphaDisintegrationEnergy (J)

MaximumBetaParticleEnergy (J)

BetaDisintegrationEnergy (J)

ReactionEnergy (J)

ResonanceEnergy (J)

CrossSection (m2)

TotalCrossSection (m2)

AngularCrossSection (m2/sr)

SpectralCrossSection (m2/J)

SpectralAngularCrossSection (m2/(sr.J))

MacroscopicCrossSection (m-1)

TotalMacroscopicCrossSection (m-1)

ParticleFluence (m-2)

ParticleFluenceRate (s-1.m2)

EnergyFluence (J/m2)

EnergyFluenceRate (W/m2)

CurrentDensityOfParticles (m-2.s-1)

MassAttenuationCoefficient (m2/kg)

MolarAttenuationCoefficient (m2/mol)

AtomicAttenuationCoefficient (m2)

HalfThickness (m)

TotalLinearStoppingPower (J/m)

TotalAtomicStoppingPower (J.m2)

TotalMassStoppingPower (J.m2/kg)

MeanLinearRange (m)

MeanMassRange (kg/m2)

LinearIonization (m-1)

TotalIonization

Mobility (m2/(V.s))

IonNumberDensity (m-3)

RecombinationCoefficient (m3/s)

NeutronNumberDensity (m-3)

NeutronSpeed (m/s)

NeutronFluenceRate (s-1.m-2)

TotalNeutronSourceDensity (s-1.m-3)

SlowingDownDensity (s-1.m-3)

ResonanceEscapeProbability

Lethargy

SlowingDownArea (m2)

DiffusionArea (m2)

MigrationArea (m2)

SlowingDownLength (m)

DiffusionLength (m)

MigrationLength (m)

NeutronYieldPerFission

NeutronYieldPerAbsorption

FastFissionFactor

ThermalUtilizationFactor

NonLeakageProbability

Reactivity

ReactorTimeConstant (s)

EnergyImparted (J)

MeanEnergyImparted (J)

SpecificEnergyImparted (Gy)

AbsorbedDose (Gy)

DoseEquivalent (Sv)

AbsorbedDoseRate (Gy/s)

LinearEnergyTransfer (J/m)

Kerma (Gy)

KermaRate (Gy/s)

MassEnergyTransferCoefficient (m2/kg)

Exposure (C/kg)

ExposureRate (C/(kg.s))

ReynoldsNumber

EulerNumber

FroudeNumber

GrashofNumber

WeberNumber

MachNumber

KnudsenNumber

StrouhalNumber

FourierNumber

PecletNumber

RayleighNumber

NusseltNumber

BiotNumber

StantonNumber

FourierNumberOfMassTransfer

PecletNumberOfMassTransfer

GrashofNumberOfMassTransfer

NusseltNumberOfMassTransfer

StantonNumberOfMassTransfer

PrandtlNumber

SchmidtNumber

LewisNumber

MagneticReynoldsNumber

AlfvenNumber

HartmannNumber

CowlingNumber

BraggAngle (rad)

OrderOfReflexion

ShortRangeOrderParameter

LongRangeOrderParameter

DebyeWallerFactor

CircularWavenumber (m-1)

FermiCircularWavenumber (m-1)

DebyeCircularWavenumber (m-1)

DebyeCircularFrequency (s-1)

DebyeTemperature (K)

SpectralConcentration (s/m3)

GrueneisenParameter

MadelungConstant

DensityOfStates (J-1/m-3)

ResidualResistivity (Ohm.m)

LorenzCoefficient (V2/K2)

HallCoefficient (m3/C)

ThermoelectromotiveForce (V)

SeebeckCoefficient (V/K)

PeltierCoefficient (V)

ThomsonCoefficient (V/K)

RichardsonConstant (A/(m2.K2))

FermiEnergy (eV)

GapEnergy (eV)

DonorIonizationEnergy (eV)

AcceptorIonizationEnergy (eV)

ActivationEnergy (eV)

FermiTemperature (K)

ElectronNumberDensity (m-3)

HoleNumberDensity (m-3)

IntrinsicNumberDensity (m-3)

DonorNumberDensity (m-3)

AcceptorNumberDensity (m-3)

EffectiveMass (kg)

MobilityRatio

RelaxationTime (s)

CarrierLifeTime (s)

ExchangeIntegral (eV)

CurieTemperature (K)

NeelTemperature (K)

LondonPenetrationDepth (m)

CoherenceLength (m)

LandauGinzburgParameter

FluxiodQuantum (Wb)

TimeAging (1/s)

ChargeAging (1/(A.s))

PerUnit

DimensionlessRatio

ComplexCurrent

Complex electrical current

ComplexCurrentSlope

Complex current slope

ComplexCurrentDensity

Complex electrical current density

ComplexElectricPotential

Complex electric potential

ComplexPotentialDifference

Complex electric potential difference

ComplexVoltage

Complex electrical voltage

ComplexVoltageSlope

Complex voltage slope

ComplexElectricFieldStrength

Complex electric field strength

ComplexElectricFluxDensity

Complex electric flux density

ComplexElectricFlux

Complex electric flux

ComplexMagneticFieldStrength

Complex magnetic field strength

ComplexMagneticPotential

Complex magnetic potential

ComplexMagneticPotentialDifference

Complex magnetic potential difference

ComplexMagnetomotiveForce

Complex magnetomotive force

ComplexMagneticFluxDensity

Complex magnetic flux density

ComplexMagneticFlux

Complex magnetic flux

ComplexReluctance

Complex reluctance

ComplexImpedance

Complex electrical impedance

ComplexAdmittance

Complex electrical admittance

ComplexPower

Complex electrical power

ComplexPerUnit

Complex per unit

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This package provides predefined types, such as Mass, Angle, Time, based on the international standard on units, e.g.,

   type Angle = Real(final quantity = "Angle",
                     final unit     = "rad",
                     displayUnit    = "deg");

Some of the types are derived SI units that are utilized in package Modelica (such as ComplexCurrent, which is a complex number where both the real and imaginary part have the SI unit Ampere).

Furthermore, conversion functions from non SI-units to SI-units and vice versa are provided in subpackage Conversions.

For an introduction how units are used in the Modelica standard library with package SIunits, have a look at: How to use SIunits.

Copyright © 1998-2019, Modelica Association and contributors

Wolfram Language

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SystemModel["Modelica.SIunits"]
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