UnitSystems.jl
Physical unit systems (Metric, English, Natural, etc...)
Specifications for dimensional units are in the UnitSystems.jl and UnitfulSystems.jl repositories.
The two packages are designed so that they can be interchanged if compatibility with Unitful.jl is desired or not.
However, the UnitfulSystems
package has fewer UnitSystem
specifications available than the UnitSystems
package due to limitations in combination with the Unitful
package.
Specifically, Metric
, SI2019
, CODATA
, Conventional
, MTS
, EMU2019
, English
, and EnglishUS
can have Unitful
values; while Gauss
, LorentzHeaviside
, Thomson
, EMU
, ESU
, ESU2019
, IAU
, FFF
, Planck
, PlanckGauss
, Stoney
, Hartree
, Rydberg
, Schrodinger
, Electronic
, Natural
, NaturalGauss
, QCD
, QCDGauss
, and QCDoriginal
are plain valued.
pkg> add UnitSystems # or UnitfulSystems
julia> using UnitSystems
A UnitSystem
is a consistent set of dimensional values selected to accomodate a particular use case or standardization.
It is possible to convert derived physical quantities from any UnitSystem
specification into any other using accurate values.
In total, five fundamental constants kB,ħ,𝘤,μ₀,mₑ
are used to specify a specific unit system.
These are the constants of boltzmann
, planckreduced
, lightspeed
, permeability
, and electronmass
.
Different choices of natural units or physical measurements result in a variety of unit systems for many purposes.
Main documentation is at https://geophysics.crucialflow.com/dev/units
Another important additional definition is the molarmass
constant Mᵤ
, which is automatically selected based on the choice of boltzmann
constant (but can also be customized if necessary).
Historically, older electromagnetic unit systems also relied on a rationalization
constant λ
and a lorentz
force proportionality constant αL
.
In most unit systems these extra constants have a value of 1
unless otherwise specified.
UnitSystem{kB,ħ,𝘤,μ₀,mₑ,λ,αL}
Fundamental constants of physics are: kB
Boltzmann's constant, ħ
reduced Planck's constant, 𝘤
speed of light, μ₀
vacuum permeability, mₑ
electron rest mass, λ
Gauss rationalization, and αL
Lorentz's constant.
Primarily the Metric
SI unit system is used in addition to the historic English
engineering unit system.
These constants induce derived values for avogadro
, boltzmann
, universal
, planck
, planckreduced
, lightspeed
, planckmass
, atomicmass
, protonmass
, electronmass
, newton
, einstein
, permeability
, permittivity
, coulomb
, and
additional constants molarmass
, hyperfine
, luminousefficacy
, stefan
, radiationintensity
, ampere
, lorentz
, biotsavart
, rationalization
, impedance
, charge
, magneton
, conductance
, faraday
, magneticflux
, josephson
, klitzing
, hartree
, rydberg
, bohr
, and bohrreduced
.
Physics constant documentation is at https://geophysics.crucialflow.com/dev/constants
Additional reference UnitSystem
variants: EMU
, ESU
, Gauss
, LorentzHeaviside
, MTS
, SI2019
, CODATA
, Conventional
, IAU
, EnglishUS
; and natural atomic units based on gravitational coupling αG
and the fine structure 1/αinv
constant (Planck
, PlanckGauss
, Stoney
, Hartree
, Rydberg
, Schrodinger
, Electronic
, Natural
, NaturalGauss
, QCD
, QCDGauss
, and QCDoriginal
).
Unt conversion documentation is at https://geophysics.crucialflow.com/dev/convert
Derived Unit conversions:
Mechanics: time
, length
, area
, volume
, wavenumber
, fuelefficiency
, frequency
, frequencydrift
, speed
, acceleration
, jerk
, snap
, volumeflow
,
mass
, massflow
, lineardensity
, areadensity
, density
, specificvolume
, force
, stiffness
, pressure
, compressibility
, viscosity
, diffusivity
, rotationalinertia
, momentum
, angularmomentum
, yank
, energy
, specificenergy
, action
, fluence
, power
, powerdensity
, intensity
, spectralflux
, soundexposure
, impedance
, specificimpedance
, admittance
, compliance
, inertance
;
Electromagnetics: charge
, chargedensity
, linearchargedensity
, exposure
, mobility
, current
, currentdensity
, resistance
, conductance
, resistivity
, conductivity
, capacitance
, inductance
, reluctance
, permeance
, permittivity
, permeability
, susceptibility
, specificsusceptibility
, demagnetizingfactor
, vectorpotential
, electricpotential
, magneticpotential
, electricfield
, magneticfield
, electricflux
, magneticflux
, electricfluxdensity
, magneticfluxdensity
, electricdipolemoment
, magneticdipolemoment
, electricpolarizability
, magneticpolarizability
, magneticmoment
, magnetizability
, magnetization
, specificmagnetization
, rigidity
, polestrength
;
Thermodynamics: temperature
, entropy
, specificentropy
, volumeheatcapacity
, thermalconductivity
, thermalconductance
, thermalresistance
, thermalexpansion
, lapserate
,
molarmass
, molality
, mole
, molarity
, molarvolume
, molarentropy
, molarenergy
, molarconductivity
, molarsusceptibility
, catalysis
, specificity
,
luminousflux
, luminance
, luminousenergy
, luminousexposure
, luminousefficacy
.
Other similar packages include PhysicalConstants.jl, MathPhysicalConstants.jl, Unitful.jl, UnitfulSystems.jl, UnitfulUS.jl, UnitfulAstro.jl, UnitfulAtomic.jl, NaturallyUnitful.jl, and UnitfulMoles.jl.