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

SolidAngle

Length

PathLength

Position

Distance

Breadth

Height

Thickness

Radius

Diameter

Area

Volume

Time

Duration

AngularVelocity

AngularAcceleration

Velocity

Acceleration

Period

Frequency

AngularFrequency

Wavelength

Wavelenght

WaveNumber

CircularWaveNumber

AmplitudeLevelDifference

PowerLevelDifference

DampingCoefficient

LogarithmicDecrement

AttenuationCoefficient

PhaseCoefficient

PropagationCoefficient

Damping

Mass

Density

RelativeDensity

SpecificVolume

LinearDensity

SurfaceDensity

Momentum

Impulse

AngularMomentum

AngularImpulse

MomentOfInertia

Inertia

Force

TranslationalSpringConstant

TranslationalDampingConstant

Weight

Torque

ElectricalTorqueConstant

MomentOfForce

ImpulseFlowRate

AngularImpulseFlowRate

RotationalSpringConstant

RotationalDampingConstant

Pressure

AbsolutePressure

PressureDifference

BulkModulus

Stress

NormalStress

ShearStress

Strain

LinearStrain

ShearStrain

VolumeStrain

PoissonNumber

ModulusOfElasticity

ShearModulus

SecondMomentOfArea

SecondPolarMomentOfArea

SectionModulus

CoefficientOfFriction

DynamicViscosity

KinematicViscosity

SurfaceTension

Work

Energy

EnergyDensity

PotentialEnergy

KineticEnergy

Power

EnergyFlowRate

EnthalpyFlowRate

Efficiency

MassFlowRate

VolumeFlowRate

MomentumFlux

AngularMomentumFlux

ThermodynamicTemperature

Absolute temperature (use type TemperatureDifference for relative temperatures)

Temp_K

Temperature

TemperatureDifference

Temp_C

TemperatureSlope

LinearTemperatureCoefficient

QuadraticTemperatureCoefficient

LinearExpansionCoefficient

CubicExpansionCoefficient

RelativePressureCoefficient

PressureCoefficient

Compressibility

IsothermalCompressibility

IsentropicCompressibility

Heat

HeatFlowRate

HeatFlux

DensityOfHeatFlowRate

ThermalConductivity

CoefficientOfHeatTransfer

SurfaceCoefficientOfHeatTransfer

ThermalInsulance

ThermalResistance

ThermalConductance

ThermalDiffusivity

HeatCapacity

SpecificHeatCapacity

SpecificHeatCapacityAtConstantPressure

SpecificHeatCapacityAtConstantVolume

SpecificHeatCapacityAtSaturation

RatioOfSpecificHeatCapacities

IsentropicExponent

Entropy

EntropyFlowRate

SpecificEntropy

InternalEnergy

Enthalpy

HelmholtzFreeEnergy

GibbsFreeEnergy

SpecificEnergy

SpecificInternalEnergy

SpecificEnthalpy

SpecificHelmholtzFreeEnergy

SpecificGibbsFreeEnergy

MassieuFunction

PlanckFunction

DerDensityByEnthalpy

DerDensityByPressure

DerDensityByTemperature

DerEnthalpyByPressure

DerEnergyByDensity

DerEnergyByPressure

DerPressureByDensity

DerPressureByTemperature

ElectricCurrent

Current

CurrentSlope

ElectricCharge

Charge

VolumeDensityOfCharge

SurfaceDensityOfCharge

ElectricFieldStrength

ElectricPotential

Voltage

PotentialDifference

ElectromotiveForce

VoltageSecond

Voltage second

VoltageSlope

ElectricFluxDensity

ElectricFlux

Capacitance

CapacitancePerArea

Capacitance per area

Permittivity

PermittivityOfVacuum

RelativePermittivity

ElectricSusceptibility

ElectricPolarization

Electrization

ElectricDipoleMoment

CurrentDensity

LinearCurrentDensity

MagneticFieldStrength

MagneticPotential

MagneticPotentialDifference

MagnetomotiveForce

CurrentLinkage

MagneticFluxDensity

MagneticFlux

MagneticVectorPotential

Inductance

SelfInductance

MutualInductance

CouplingCoefficient

LeakageCoefficient

Permeability

PermeabilityOfVacuum

RelativePermeability

MagneticSusceptibility

ElectromagneticMoment

MagneticDipoleMoment

Magnetization

MagneticPolarization

ElectromagneticEnergyDensity

PoyntingVector

Resistance

Resistivity

Conductivity

Reluctance

Permeance

PhaseDifference

Impedance

ModulusOfImpedance

Reactance

QualityFactor

LossAngle

Conductance

Admittance

ModulusOfAdmittance

Susceptance

InstantaneousPower

ActivePower

ApparentPower

ReactivePower

PowerFactor

Transconductance

InversePotential

ElectricalForceConstant

RadiantEnergy

RadiantEnergyDensity

SpectralRadiantEnergyDensity

RadiantPower

RadiantEnergyFluenceRate

RadiantIntensity

Radiance

RadiantExtiance

Irradiance

Emissivity

SpectralEmissivity

DirectionalSpectralEmissivity

LuminousIntensity

LuminousFlux

QuantityOfLight

Luminance

LuminousExitance

Illuminance

LightExposure

LuminousEfficacy

SpectralLuminousEfficacy

LuminousEfficiency

SpectralLuminousEfficiency

CIESpectralTristimulusValues

ChromaticityCoordinates

SpectralAbsorptionFactor

SpectralReflectionFactor

SpectralTransmissionFactor

SpectralRadianceFactor

LinearAttenuationCoefficient

LinearAbsorptionCoefficient

MolarAbsorptionCoefficient

RefractiveIndex

StaticPressure

SoundPressure

SoundParticleDisplacement

SoundParticleVelocity

SoundParticleAcceleration

VelocityOfSound

SoundEnergyDensity

SoundPower

SoundIntensity

AcousticImpedance

SpecificAcousticImpedance

MechanicalImpedance

SoundPressureLevel

SoundPowerLevel

DissipationCoefficient

ReflectionCoefficient

TransmissionCoefficient

AcousticAbsorptionCoefficient

SoundReductionIndex

EquivalentAbsorptionArea

ReverberationTime

LoudnessLevel

Loudness

LoundnessLevel

Obsolete type, use LoudnessLevel instead!

Loundness

Obsolete type, use Loudness instead!

RelativeAtomicMass

RelativeMolecularMass

NumberOfMolecules

AmountOfSubstance

MolarMass

MolarVolume

MolarDensity

MolarEnergy

MolarInternalEnergy

MolarHeatCapacity

MolarEntropy

MolarEnthalpy

MolarFlowRate

NumberDensityOfMolecules

MolecularConcentration

MassConcentration

MassFraction

Concentration

VolumeFraction

MoleFraction

ChemicalPotential

AbsoluteActivity

PartialPressure

Fugacity

StandardAbsoluteActivity

ActivityCoefficient

ActivityOfSolute

ActivityCoefficientOfSolute

StandardAbsoluteActivityOfSolute

ActivityOfSolvent

OsmoticCoefficientOfSolvent

StandardAbsoluteActivityOfSolvent

OsmoticPressure

StoichiometricNumber

Affinity

MassOfMolecule

ElectricDipoleMomentOfMolecule

ElectricPolarizabilityOfAMolecule

MicrocanonicalPartitionFunction

CanonicalPartitionFunction

GrandCanonicalPartitionFunction

MolecularPartitionFunction

StatisticalWeight

MeanFreePath

DiffusionCoefficient

ThermalDiffusionRatio

ThermalDiffusionFactor

ThermalDiffusionCoefficient

ElementaryCharge

ChargeNumberOfIon

FaradayConstant

IonicStrength

DegreeOfDissociation

ElectrolyticConductivity

MolarConductivity

TransportNumberOfIonic

ProtonNumber

NeutronNumber

NucleonNumber

AtomicMassConstant

MassOfElectron

MassOfProton

MassOfNeutron

HartreeEnergy

MagneticMomentOfParticle

BohrMagneton

NuclearMagneton

GyromagneticCoefficient

GFactorOfAtom

GFactorOfNucleus

LarmorAngularFrequency

NuclearPrecessionAngularFrequency

CyclotronAngularFrequency

NuclearQuadrupoleMoment

NuclearRadius

ElectronRadius

ComptonWavelength

MassExcess

MassDefect

RelativeMassExcess

RelativeMassDefect

PackingFraction

BindingFraction

MeanLife

LevelWidth

Activity

SpecificActivity

DecayConstant

HalfLife

AlphaDisintegrationEnergy

MaximumBetaParticleEnergy

BetaDisintegrationEnergy

ReactionEnergy

ResonanceEnergy

CrossSection

TotalCrossSection

AngularCrossSection

SpectralCrossSection

SpectralAngularCrossSection

MacroscopicCrossSection

TotalMacroscopicCrossSection

ParticleFluence

ParticleFluenceRate

EnergyFluence

EnergyFluenceRate

CurrentDensityOfParticles

MassAttenuationCoefficient

MolarAttenuationCoefficient

AtomicAttenuationCoefficient

HalfThickness

TotalLinearStoppingPower

TotalAtomicStoppingPower

TotalMassStoppingPower

MeanLinearRange

MeanMassRange

LinearIonization

TotalIonization

Mobility

IonNumberDensity

RecombinationCoefficient

NeutronNumberDensity

NeutronSpeed

NeutronFluenceRate

TotalNeutronSourceDensity

SlowingDownDensity

ResonanceEscapeProbability

Lethargy

SlowingDownArea

DiffusionArea

MigrationArea

SlowingDownLength

DiffusionLength

MigrationLength

NeutronYieldPerFission

NeutronYieldPerAbsorption

FastFissionFactor

ThermalUtilizationFactor

NonLeakageProbability

Reactivity

ReactorTimeConstant

EnergyImparted

MeanEnergyImparted

SpecificEnergyImparted

AbsorbedDose

DoseEquivalent

AbsorbedDoseRate

LinearEnergyTransfer

Kerma

KermaRate

MassEnergyTransferCoefficient

Exposure

ExposureRate

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

OrderOfReflexion

ShortRangeOrderParameter

LongRangeOrderParameter

DebyeWallerFactor

CircularWavenumber

FermiCircularWavenumber

DebyeCircularWavenumber

DebyeCircularFrequency

DebyeTemperature

SpectralConcentration

GrueneisenParameter

MadelungConstant

DensityOfStates

ResidualResistivity

LorenzCoefficient

HallCoefficient

ThermoelectromotiveForce

SeebeckCoefficient

PeltierCoefficient

ThomsonCoefficient

RichardsonConstant

FermiEnergy

GapEnergy

DonorIonizationEnergy

AcceptorIonizationEnergy

ActivationEnergy

FermiTemperature

ElectronNumberDensity

HoleNumberDensity

IntrinsicNumberDensity

DonorNumberDensity

AcceptorNumberDensity

EffectiveMass

MobilityRatio

RelaxationTime

CarrierLifeTime

ExchangeIntegral

CurieTemperature

NeelTemperature

LondonPenetrationDepth

CoherenceLength

LandauGinzburgParameter

FluxiodQuantum

TimeAging

ChargeAging

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 magneto motive 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

Wolfram Language

In[1]:=
Click for copyable input
SystemModel["Modelica.SIunits"]
Out[1]:=

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 © 1998-2016, Modelica Association and DLR.

This Modelica package is free software and the use is completely at your own risk; it can be redistributed and/or modified under the terms of the Modelica License 2. For license conditions (including the disclaimer of warranty) see Modelica.UsersGuide.ModelicaLicense2 or visit https://www.modelica.org/licenses/ModelicaLicense2.