MathPhysicalConstants

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Purpose

MathPhysicalConstants is a Julia package which has the values of a range of mathematical and physical constants updated with most recent available dataset from BIPM in 2018. Currently MKS and CGS units and International System of Units. Updated CODATA 2017 and redefinition of SI base units following ISU, BIPM, CGPM, CIPM approved resolutions and scheduled to come into force on 20 May 2019. See https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units

Installation

The package can be installed directly from its github repository:

Pkg.clone("https://github.com/LaGuer/MathPhysicalConstants.jl")

Usage

Usage is pretty straightforward. Start off by loading the package.

julia> using MathPhysicalConstants

Query and retrieve the Planck Constant using the most updated International System of Units (SI)

julia> MathPhysicalConstants.SI.PlanckConstantH
6.62607015e-34

julia> big(MathPhysicalConstants.SI.PlanckConstantH)
6.62606895999999960651234296395253273824527450725424150396117674176417443843193e-34

Let's have a look at https://en.wikipedia.org/wiki/Compton_wavelength ƛe ≡ ħ/m_e.c the reduced Compton electron wavelength radius formula. Try it with BigFloat and Measurement

julia> big(MathPhysicalConstants.SI.PlanckConstantHbar)/(big(MathPhysicalConstants.SI.MassElectron)*big(MathPhysicalConstants.SI.SpeedOfLight))
2.42631027637202010003687587191357482878156204816578736228540160944126721996979e-12

Now let's have a look at https://en.m.wikipedia.org/wiki/Age_of_the_universe determined with the following equation: R_H = 2ħ^2/(G.m_e.m_p.m_n) as described in https://fr.wikipedia.org/wiki/Analyse_dimensionnelle#Cosmologie:_Rayon_de_Hubble

julia> R3mn=(2*SI.PlanckConstantHbar^2)/(SI.SanchezGravitationalConstant*SI.MassElectron*SI.MassProton*SI.MassNeutron)
1.3056254088279212e26

One converts the result in Gly with SI.GigaLightYear:

julia> 1.3056254088279212e26/SI.GigaLightYear
13.800754843601865    

Other examples of MathPhysicalConstants Let's switch to Earth's gravitational acceleration in MKS units.

julia> MathPhysicalConstants.MKS.GravAccel
9.80665

Or in CGS units.

julia> MathPhysicalConstants.CGS.GravAccel
980.665

last but not least in International System of Units (SI)

julia> MathPhysicalConstants.SI.GravAccel
9.80665

SI Constant List

---

Symbol	Name	Formula	Dimension	Value	Unit
π	pi	-	-	3.1415926535897932	pure number
e	Euler's number	-	-	2.7182817284590452	pure number
γ	euler_gamma	-	-	0.5772156649015329	pure number
TSSGP	26 sporadic group Product	exp(841.2869278)	-	2.3241836455143e365	pure number
HFP	Happy Family product	exp(674.5210288)	-	8.7249055755086e292	pure number
O_M	Monster Group Cardinal	-	-	8.080174248 × 10^53	pure number
O_B	Baby Monster Group Cardinal	-	-	4.15478148 × 10^33	pure number
c	Speed of light in vacuum	-	-	2.99792458e8	m.s^-1
ħ	Reduced Planck constant	$\hbar=h/2\pi$	-	1.054571800e-34	m^2 kg s^-1
G'	constant of gravitation CODATA2019	-	M^-1L^3T^-2	6.67408(31)e-11	m^3 kg^-1 s^-2
G	F.M.Sanchez constant of gravitation	$F_{gr}=Gmm'/ d^{2}$	M^-1L^3T^-2	6.675453818e-11	m^3 kg^-1 s^-2
a	Electric constant	$F_{qq}=\hbarc/ad^{2}$	dimensionless	137.035999139^-1	pure number
R_U	Universe Hubble radius (F.M.Sanchez)	$R_U=2G.M_{U}/c)^{2}$	L	1.3065e26	m
G_F	Fermi Coupling Constant(F.M.Sanchez)	$G_F=(ħc)^3/E_{F}^{2}$	ML^5T^-2	1.4358509(7)e-62	J.m^3
a_G	Gravit Sanchez Coupling Constant	$a_G=ħc/Gm_pm_H$	-	1.691936465e38	pure number
M_U	Universe Sanchez Mass	$M_U=(ħc/G)^2/m_e.m_p.m_H$	M	8.7936e52	kg
t_cc	Kotov Cosmic Periodicity	-	s	9600.061(2)	s
r_H(0)	Bare Hydrogen radius	$a\hbar/m_{e}c$	L	5.291772103e-11	m
H	Hydrogen-electron mass ratio	$m_H/m_e$	dimensionless	1837.152645	m_e
p	Proton-electron mass ratio	$m_p/m_e$	dimensionless	1836.152672	m_e
n	Neutron-electron mass ratio	$m_n/m_e$	dimensionless	1838.683659	m_e
m_e	electron mass	-	M	9.10938356(11)e-31	kg
μ'	Muon electron mass ratio CODATA2019	-	dimensionless	206.7682826(41)	m_e
μ	Muon mass F.M.Sanchez	-	dimensionless	206.7682869	m_e
f'	Strg Nuc Coupling Constant CODATA2019	-	dimensionless	1/0.1181(11)	pure number
f	Strg Nuc Coupling Constant C.Bizouard	$F^{2}/2\pi(pH)^{3}/2$	dimensionless	8.434502892	pure number
F'	Fermi Constant reduced mass CODAT2019	$E_{F}/m_{e}c^{2}$	dimensionless	573007.33(25)	pure number
F	Fermi Constant reduc mass F.M.Sanchez	-	dimensionless	573007.3652	pure number
d_e	electron magnetic moment excess	-	dimensionless	1.00115965218091(26)	pure number
θ'	CMB Temperature CODATA2019	-	-	2.7255(6) K	K
θ	CMB Temperature F.M.Sanchez	-	-	2.725820831 K	K
k_B	Boltzman Energy-temperature Convers°	-	-	1.3806488e10-23	J K^-1
W	Intermed vector boson Red. Mass	-	dimensionless	157298(23)	pure number
W_s	In vector boson Red. Mass F.M.Sanchez	-	dimensionless	157340	pure number
Z	Intermediate vector boson Red. Mass	-	dimensionless	178450.0(41)	pure number
Z_s	In vector boson Red. Mass F.M.Sanchez	-	dimensionless	178452	pure number
Π±	Pion / Pi Meson Reduced Mass	-	dimensionless	273.13203(68)	pure number
Π0	Pion / Pi Meson Reduced Mass	-	dimensionless	264.1426(18)	pure number

License

---

The MathPhysicalConstants.jl package is licensed under the MIT "Expat" License. The original author is La Guer.

Please, cite this paper (http://vixra.org/pdf/1811.0146v8.pdf) if you employ this package in your research work.