Documentation	Supported OS and Julia Version	Build Status	Code Coverage
	[osx][Julia 0.7][Julia 1.0][Julia 1.3]
	[linux][Julia 0.7][Julia 1.0][Julia1.3]
	[windows][Julia0.7][Julia1.0][Julia1.3]

PhysicalConstant.jl provides common physical constants. They are defined as Constant objects, which can be turned into Quantity objects (from Unitful.jl package) or 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, only 2019 edition based on 26th CGPM and the anticipated CODATA recommended values of the fundamental physical constants is provided.

Measurements.jl is available for Julia 0.7 and later versions, and can be installed with Julia built-in package manager. In a Julia session run the command

pkg> clone https://github.com/laguer/PhysicalConstant.jl

pkg> build PhysicalConstant

You can load the package as usual with using PhysicalConstant 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 2019 load PhysicalConstant.CODATA2019:

julia> using PhysicalConstant.CODATA2019

julia> C
Gravitational velocity in vacuum (C)
Value                         = 3.6993e44 m s^-1 
Standard uncertainty          = (exact)
Relative standard uncertainty = (exact)
Reference                     = Francis M. Sanchez

julia> Gg
Newtonian constant of gravitation (Gg)
Value                         = 6.67408e-11 m^3 kg^-1 s^-2
Standard uncertainty          = 3.1e-15 m^3 kg^-1 s^-2
Relative standard uncertainty = 4.6e-5
Reference                     = CODATA 2019

julia> Gg
Newtonian constant of gravitation (Gg)
Value                         = 6.67408e-11 m^3 kg^-1 s^-2
Standard uncertainty          = 3.1e-15 m^3 kg^-1 s^-2
Relative standard uncertainty = 4.6e-5
Reference                     = CODATA 2019

C and Gg are two of the new Constants defined in the PhysicalConstant.CODATA2019 module, the full list of available constants is given below.

You can turn a Constant into a Quantity object, with physical units, by using float(x):

julia> float(Float32(inv(big(α))))
137.036f0

You can optionally specify the floating-point precision of the resulting number, this package takes care of keeping the value accurate also with BigFloat:

julia> float(Float32, ε_0)
8.854188f-12 F m^-1

julia> float(BigFloat, ε_0)
8.854187817620389850536563031710750260608370166599449808102417152405395095459979e-12 F m^-1

julia> big(ε_0)
8.854187817620389850536563031710750260608370166599449808102417152405395095459979e-12 F m^-1

julia> big(ε_0) - inv(big(μ_0) * big(c)^2)
0.0 A^2 s^4 kg^-1 m^-3

Note that big(x) is an alias for float(BigFloat, x).

If in addition to units you also want the standard uncertainty associated with the constant, use measurement(x):

julia> using Measurements

julia> measurement(ħ)
1.0545718001391127e-34 ± 1.2891550390443523e-42 J s

julia> measurement(Float32, ħ)
1.0545718e-34 ± 1.289e-42 J s

julia> measurement(BigFloat, ħ)
1.054571800139112651153941068725066773746246506229852090971714108355028066256094e-34 ± 1.289155039044352219727958483317366332479123130497697234856105486877064060837251e-42 J s

julia> measurement(BigFloat, ħ) / (measurement(BigFloat, h) / (2 * big(pi)))
1.0 ± 0.0

Julia supports the use of unicode characters such as α and β in your code

Unicode characters can be typed quickly in Jupyter using the tab key

Try creating a new code cell and typing \alpha, then hitting the tab key on your keyboard.

Julia also supports:

• Basic Math Symbols

≠ ± ∓ ÷ × ∙ – √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °

• Geometry Symbols

∠ ∟ ° ≅ ~ ‖ ⟂ ⫛

• Algebra Symbols

≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘∏ ∐ ∑ ⋀ ⋁ ⋂ ⋃ ⨀ ⨁ ⨂ 𝖕 𝖖 𝖗

• Set of Theory Symbols

∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟

• Logic Symbols

¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ↔ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣

• Calculus and Analysis Symbols

∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ

• Greek Letters

𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔

You can execute shell commands (system commands) in Jupyter by prepending a semicolon

For example, ; ls will execute the UNIX style shell command ls, which — at least for UNIX style operating systems — lists the contents of the current working directory

These shell commands are handled by your default system shell and hence are platform specific

You can enter the package manager by prepending a ]

For example, ] st will give the status of installed packages in the current environment

Notebook files are just text files structured in JSON and typically end with .ipynb

A notebook can easily be saved and shared between users — you just need to pass around the ipynb file

To open an existing ipynb file, import it from the dashboard (the first browser page that opens when you start Jupyter notebook) and run the cells or edit as discussed above

The Jupyter organization has a site for sharing notebooks called nbviewer which provides a static HTML representations of notebooks

PhysicalConstant also hosts the PhysicalConstant Notes github repo, where you can upload and share your notebooks with other researchers and the PhysicalConstant community

• The_Dirac_Electron_From_Quantum_Chemistry_to_Holistic_Cosmology @ researchgate
• Dirac_Electron_From_Quantum_Chemistry_to_Holistic_Cosmology @ Wiley

The PhysicalConstants.jl package is licensed under the MIT "Expat" License. The original author is Mosè Giordano in arxiv.

New physical constants CODATA2019 added by LaGuer LaGuer for experimental purposes as proposed by Dr Francis M. Sanchez.

New physical constants CODATA2019 introduce independent correlated results between T.Quinn experiments at BIPM and C.Bizouard at OBSPM. Data aligned with 26th CGPM/BIPM in anticipation of NIST 2019 release.