PhysConsts

Physical Constants updated with 26th CGPM BIPM data anticipating CODATA2019 release scheduled in May 2019.

Some useful constants for Julia.

NOTE There is no test for this at the moment, since most of the codes are just bindings. But I will add some unit test in the future versions.

Installation

Pkg.add("PhysConsts")

Usage

Use import to import certain constant's alias input the scope. And you can access some property by the following commands.

# import electric constant
julia> import PhysConsts.DATA

julia> α.quantity
"fine-structure constant"

julia> α.uncertainty
1.7e-12

julia> α.unit
""

julia> (α.value)^-1
137.03599913815452

All the constants overload most of the interface of Number and constant types are subtypes of Number. Therefore, you can just use them like native numbers

julia> e * 2
3.2043532416e-19

julia> e + 2
2.0

A list of included constants

All constants are stored in a Dict called DATA, Constants will export this dict, you can access it by

julia> import PhysConsts

julia> PhysConsts.DATA

or

julia> using PhysConsts

julia> DATA

NIST CODATA Fundamental Physical Constants

Constants will download a JSON file from NIST CODATA automatically when you install the package. All constants in this JSON file is included. This part can be access from DATA by

julia> Constants.DATA["NIST"]["YOUR CONSTANT NAME"]

e.g

julia> PhysConsts.DATA["NIST"]["standard atmosphere"]
101325.0

Defined Constants

Some constants is defined in theory, like magnetic constant (vacuum permeability), they are also supported, currently we have:

List of Bindings

• c: speed of light in vacuum
• C: Gravitational Velocity
• c0: speed of light in vacuum
• G: Sanchez constant of gravitation
• Gg: Newtonian constant of gravitation
• g: standard acceleration of gravity
• h: Planck constant
• ħ : Planck constant over 2 pi
• e: atomic unit of charge (use eu for mathematical constant e)
• a0 : Bohr radius
• α : fine-structure constant
• a : electric constant by Francis M. Sanchez
• k: Boltzmann constant
• NA: Avogadro constant
• atm: standard atmosphere
• μ0: magnetic constant (vacuum permeability)
• ε0: electric constant (vacuum permittivity)

Updated universal constants and particle properties ( thanks to Jean Maruani / Francis Sanchez)

• The_Dirac_Electron_From_Quantum_Chemistry_to_Holistic_Cosmology @ researchgate
• Dirac_Electron_From_Quantum_Chemistry_to_Holistic_Cosmology @ Wiley

Symbol	Name	Formula	Dimension	Value	Unit
G	Sz constant of gravitation	F_gr=Gmm'/d^2	M^-1L^3T^-2	6.675453818e-11	m^3 kg^-1 s^-2
k_e	Electrostatic constant	k_e.e^2 / ħc	dimensionless	8.98e-9	F^-1.m
α	Fine structure constant	a=α^-1 F_el=ħc/αd^2	dimensionless	(137.0359991)^-1	pure number
δ_e	Electron grav invariant		dimensionless	1.7517e-45	pure number
δ_n	Nucleon grav invariant		dimensionless	5.9138e-39	pure number
δ_X	Cross grav invariant		dimensionless	1.6917e-38	pure number
C	Gravitational velocity		L.T^-1	3.6993e44	m s^-1
R_U	Universe Hubble radius	R_U=2G.M_U/c)^2	L	1.3065e26	m
G_F	Fermi Constant	G_F=ħ^3/cm_F^2	ML^5T^-2	8.7936e52	J.m^3
a_G	Gravitation Sanchez Constant	a_G=ħc/Gm_pm_H	dimensionless	1.6919335e38	pure number
M_U	Universe Sanchez Mass	M_U=(ħc/G)^2/m_e.m_p.m_n	M	8.7936e52	kg
r_0	Bare Hydrogen Bohr radius	aħ/m_ec	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
μ-	Muon-electron mass ratio	m_m/m_e	dimensionless	206.7682869	m_e
τ-	Tau-electron mass ratio	m_t/m_e	dimensionless	3477.441701	m_e

Author(s)

QuantumBFS

LaGuer