PhysicalConstants.jl
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Introduction
PhysicalConstants.jl provides common physical constants. They are defined as
instances of the new Constant type, which is subtype of AbstractQuantity
(from Unitful.jl package) and can
also be turned into Measurement objects (from
Measurements.jl package) at
request.
Constants are grouped into different submodules, so that the user can choose different datasets as needed. Currently, 2014, 2018, and 2022 editions of CODATA recommended values of the fundamental physical constants are provided.
Installation
The latest version of PhysicalConstants.jl is available for Julia 1.0 and
later versions, and can be installed with Julia built-in package
manager. After entering the
package manager mode by pressing ], run the command
Usage
You can load the package as usual with using PhysicalConstants but this module
does not provide anything useful for the end-users. You most probably want to
directly load the submodule with the dataset you are interested in. For
example, for CODATA 2022 load PhysicalConstants.CODATA2022:
julia> SpeedOfLightInVacuum
Speed of light in vacuum (c_0)
Value = 2.99792458e8 m s^-1
Standard uncertainty = (exact)
Relative standard uncertainty = (exact)
Reference = CODATA 2022
julia> NewtonianConstantOfGravitation
Newtonian constant of gravitation (G)
Value = 6.6743e-11 m^3 kg^-1 s^-2
Standard uncertainty = 1.5e-15 m^3 kg^-1 s^-2
Relative standard uncertainty = 2.2e-5
Reference = CODATA 2022
SpeedOfLightInVacuum and NewtonianConstantOfGravitation are two of the
PhysicalConstants defined in the PhysicalConstants.CODATA2022 module, the
full list of available constants is given below.
PhysicalConstants can be readily used in mathematical operations, using by
default their Float64 value:
julia> 2 * e_0
1.77083756376e-11 F m^-1
julia> e_0 - 1 / (m_0 * c_0 ^ 2)
1.0567555442791707e-23 A^2 s^4 kg^-1 m^-3
If you want to use a different precision for the value of the constant, use the
function float(float_type, constant), for example:
8.854188f-12 F m^-1
julia> float(BigFloat, e_0)
8.854187818800000000000000000000000000000000000000000000000000000000000000000059e-12 F m^-1
julia> big(e_0)
8.854187818800000000000000000000000000000000000000000000000000000000000000000059e-12 F m^-1
julia> big(e_0) - inv(big(m_0) * big(c_0)^2)
1.056704162590924117341831987227432956066714823419574007586677144869010778731235e-23 A^2 s^4 kg^-1 m^-3
Note that big(constant) is an alias for float(BigFloat, constant).
If in addition to units you also want the standard uncertainty associated with
the constant, use measurement(x):
julia> import PhysicalConstants.CODATA2022: h, h
julia> measurement(h)
1.0545718176461565e-34 +- 0.0 J s
julia> measurement(Float32, h)
1.0545718e-34 +- 0.0 J s
julia> measurement(BigFloat, h)
1.054571817646156391262428003302280744722826330020413122421923470598435912734741e-34 +- 0.0 J s
julia> measurement(BigFloat, h) / (measurement(BigFloat, h) / (2 * big(pi)))
1.0 +- 0.0
For more information read the documentation, which includes the full list of constants defined by the package.
License
The PhysicalConstants.jl package is licensed under the MIT "Expat" License.
The original author is Mose Giordano.