tsai
/
mathnet-numerics
1
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity
Math.NET Numerics
You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
42 Commits
25 Branches
121 Tags
187 MiB
 
 
 
Tree: d640bfa018
Branches Tags
${ item.name }
Create tag ${ searchTerm }
Create branch ${ searchTerm }
from 'd640bfa018'
${ noResults }
mathnet-numerics/Constants.html

896 lines
29 KiB
Raw Blame History

<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Constants
</title>
<meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no">
<meta name="author" content="Christoph Ruegg, Marcus Cuda, Jurgen Van Gael">
<link rel="stylesheet" id="theme_link" href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/4.6.0/materia/bootstrap.min.css">
<script src="https://code.jquery.com/jquery-3.4.1.min.js"></script>
<script src="https://cdn.jsdelivr.net/npm/bootstrap@4.6.0/dist/js/bootstrap.bundle.min.js" integrity="sha384-Piv4xVNRyMGpqkS2by6br4gNJ7DXjqk09RmUpJ8jgGtD7zP9yug3goQfGII0yAns" crossorigin="anonymous"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML"></script>
<link rel="shortcut icon" type="image/x-icon" href="/favicon.ico">
<link type="text/css" rel="stylesheet" href="https://numerics.mathdotnet.com/content/navbar-fixed-left.css" />
<link type="text/css" rel="stylesheet" href="https://numerics.mathdotnet.com/content/fsdocs-default.css" />
<link type="text/css" rel="stylesheet" href="https://numerics.mathdotnet.com/content/fsdocs-custom.css" />
<script type="text/javascript" src="https://numerics.mathdotnet.com/content/fsdocs-tips.js"></script>
<!-- HTML5 shim, for IE6-8 support of HTML5 elements -->
<!--[if lt IE 9]>
<script src="http://html5shim.googlecode.com/svn/trunk/html5.js"></script>
<![endif]-->
<!-- BEGIN SEARCH BOX: this adds support for the search box -->
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/JavaScript-autoComplete/1.0.4/auto-complete.css" />
<!-- END SEARCH BOX: this adds support for the search box -->
</head>
<body>
<nav class="navbar navbar-expand-md navbar-light bg-secondary fixed-left" id="fsdocs-nav">
<button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#navbarsExampleDefault" aria-controls="navbarsExampleDefault" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div class="collapse navbar-collapse navbar-nav-scroll" id="navbarsExampleDefault">
<a href="https://numerics.mathdotnet.com/"><img id="fsdocs-logo" src="/logo.png" /></a>
<!-- BEGIN SEARCH BOX: this adds support for the search box -->
<div id="header">
<div class="searchbox" id="fsdocs-searchbox">
<label for="search-by">
<i class="fas fa-search"></i>
</label>
<input data-search-input="" id="search-by" type="search" placeholder="Search..." />
<span data-search-clear="">
<i class="fas fa-times"></i>
</span>
</div>
</div>
<!-- END SEARCH BOX: this adds support for the search box -->
<ul class="navbar-nav">
<li class="nav-header">Math.NET Numerics</li>
<li class="nav-item"><a class="nav-link" href="Packages.html">NuGet & Binaries</a></li>
<li class="nav-item"><a class="nav-link" href="ReleaseNotes.html">Release Notes</a></li>
<li class="nav-item"><a class="nav-link" href="https://github.com/mathnet/mathnet-numerics/blob/master/LICENSE.md">MIT License</a></li>
<li class="nav-item"><a class="nav-link" href="Compatibility.html">Platform Support</a></li>
<li class="nav-item"><a class="nav-link" href="https://numerics.mathdotnet.com/api/">Class Reference</a></li>
<li class="nav-item"><a class="nav-link" href="https://github.com/mathnet/mathnet-numerics/issues">Issues & Bugs</a></li>
<li class="nav-item"><a class="nav-link" href="Users.html">Who is using Math.NET?</a></li>
<li class="nav-header">Contributing</li>
<li class="nav-item"><a class="nav-link" href="Contributors.html">Contributors</a></li>
<li class="nav-item"><a class="nav-link" href="Contributing.html">Contributing</a></li>
<li class="nav-item"><a class="nav-link" href="Build.html">Build & Tools</a></li>
<li class="nav-item"><a class="nav-link" href="https://github.com/mathnet/mathnet-numerics/discussions/categories/ideas">Your Ideas</a></li>
<li class="nav-header">Getting Help</li>
<li class="nav-item"><a class="nav-link" href="https://discuss.mathdotnet.com/c/numerics">Discuss</a></li>
<li class="nav-item"><a class="nav-link" href="https://stackoverflow.com/questions/tagged/mathdotnet">Stack Overflow</a></li>
<li class="nav-header">Getting Started</li>
<l class="nav-item"i><a class="nav-link" href="/">Getting started</a></li>
<li class="nav-item"><a class="nav-link" href="Constants.html">Constants</a></li>
<li class="nav-item"><a class="nav-link" href="Matrix.html">Matrices and Vectors</a></li>
<li class="nav-item"><a class="nav-link" href="Euclid.html">Euclid & Number Theory</a></li>
<li class="nav-item">Combinatorics</li>
<li class="nav-header">Evaluation</li>
<li class="nav-item"><a class="nav-link" href="Functions.html">Special Functions</a></li>
<li class="nav-item"><a class="nav-link" href="Integration.html">Integration</a></li>
<li class="nav-header">Statistics/Probability</li>
<li class="nav-item"><a class="nav-link" href="DescriptiveStatistics.html">Descriptive Statistics</a></li>
<li class="nav-item"><a class="nav-link" href="Probability.html">Probability Distributions</a></li>
<li class="nav-header">Generation</li>
<li class="nav-item"><a class="nav-link" href="Generate.html">Generating Data</a></li>
<li class="nav-item"><a class="nav-link" href="Random.html">Random Numbers</a></li>
<li class="nav-header">Solving Equations</li>
<li class="nav-item"><a class="nav-link" href="LinearEquations.html">Linear Equation Systems</a></li>
<li class="nav-header">Optimization</li>
<li class="nav-item"><a class="nav-link" href="Distance.html">Distance Metrics</a></li>
<li class="nav-header">Curve Fitting</li>
<li class="nav-item"><a class="nav-link" href="Regression.html">Regression</a></li>
<li class="nav-header">Native Providers</li>
<li class="nav-item"><a class="nav-link" href="MKL.html">Intel MKL</a></li>
<li class="nav-header">Working Together</li>
<li class="nav-item"><a class="nav-link" href="CSV.html">Delimited Text Files (CSV)</a></li>
<li class="nav-item"><a class="nav-link" href="MatrixMarket.html">NIST MatrixMarket</a></li>
<li class="nav-item"><a class="nav-link" href="MatlabFiles.html">MATLAB</a></li>
<li class="nav-item"><a class="nav-link" href="IFSharpNotebook.html">IF# Notebook</a></li>
</ul>
</div>
</nav>
<div class="container">
<div class="masthead">
<h3 class="muted">
<a href="https://numerics.mathdotnet.com">Math.NET Numerics</a> |
<a href="https://www.mathdotnet.com">Math.NET Project</a> |
<a href="https://github.com/mathnet/mathnet-numerics">GitHub</a>
</h3>
</div>
<hr />
<div class="container" id="fsdocs-content">
<h1><a name="Constants" class="anchor" href="#Constants">Constants</a></h1>
<p>Math.NET Numerics contains a set of often used mathematical and scientific
constants. Mathematical and defined scientific constants are as accurate as
double precision allows, while measured constants are implemented according
to 2007 CODATA.</p>
<p>All constants are defined as static constant fields of the <code>Constants</code> class.</p>
<h2><a name="SI-Unit-Scaling" class="anchor" href="#SI-Unit-Scaling">SI Unit Scaling</a></h2>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Factor</p></th>
<th><p>Constant</p></th>
<th><p>Factor</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>Deca</p></td>
<td><p><span class="math">\(10^{1}\)</span></p></td>
<td><p>Deci</p></td>
<td><p><span class="math">\(10^{-1}\)</span></p></td>
</tr>
<tr class="even">
<td><p>Hecto</p></td>
<td><p><span class="math">\(10^{2}\)</span></p></td>
<td><p>Centi</p></td>
<td><p><span class="math">\(10^{-2}\)</span></p></td>
</tr>
<tr class="odd">
<td><p>Kilo</p></td>
<td><p><span class="math">\(10^{3}\)</span></p></td>
<td><p>Milli</p></td>
<td><p><span class="math">\(10^{-3}\)</span></p></td>
</tr>
<tr class="even">
<td><p>Mega</p></td>
<td><p><span class="math">\(10^{6}\)</span></p></td>
<td><p>Micro</p></td>
<td><p><span class="math">\(10^{-6}\)</span></p></td>
</tr>
<tr class="odd">
<td><p>Giga</p></td>
<td><p><span class="math">\(10^{9}\)</span></p></td>
<td><p>Nano</p></td>
<td><p><span class="math">\(10^{-9}\)</span></p></td>
</tr>
<tr class="even">
<td><p>Tera</p></td>
<td><p><span class="math">\(10^{12}\)</span></p></td>
<td><p>Pico</p></td>
<td><p><span class="math">\(10^{-12}\)</span></p></td>
</tr>
<tr class="odd">
<td><p>Peta</p></td>
<td><p><span class="math">\(10^{15}\)</span></p></td>
<td><p>Femto</p></td>
<td><p><span class="math">\(10^{-15}\)</span></p></td>
</tr>
<tr class="even">
<td><p>Exa</p></td>
<td><p><span class="math">\(10^{18}\)</span></p></td>
<td><p>Atto</p></td>
<td><p><span class="math">\(10^{-18}\)</span></p></td>
</tr>
<tr class="odd">
<td><p>Zetta</p></td>
<td><p><span class="math">\(10^{21}\)</span></p></td>
<td><p>Zepto</p></td>
<td><p><span class="math">\(10^{-21}\)</span></p></td>
</tr>
<tr class="even">
<td><p>Yotta</p></td>
<td><p><span class="math">\(10^{24}\)</span></p></td>
<td><p>Yocto</p></td>
<td><p><span class="math">\(10^{-24}\)</span></p></td>
</tr>
</tbody>
</table>
<h2><a name="Mathematical-Constants" class="anchor" href="#Mathematical-Constants">Mathematical Constants</a></h2>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Definition</p></th>
<th><p>Value (Rounded)</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>E</p></td>
<td><p><span class="math">\(e\)</span></p></td>
<td><p>2.7182818284590452354</p></td>
</tr>
<tr class="even">
<td><p>Log2E</p></td>
<td><p><span class="math">\(\log_2{e}\)</span></p></td>
<td><p>1.4426950408889634074</p></td>
</tr>
<tr class="odd">
<td><p>Log10E</p></td>
<td><p><span class="math">\(\log_{10}{e}\)</span></p></td>
<td><p>0.4342944819032518277</p></td>
</tr>
<tr class="even">
<td><p>Ln2</p></td>
<td><p><span class="math">\(\log_e{2}\)</span></p></td>
<td><p>0.6931471805599453094</p></td>
</tr>
<tr class="odd">
<td><p>Ln10</p></td>
<td><p><span class="math">\(\log_e{10}\)</span></p></td>
<td><p>2.3025850929940456840</p></td>
</tr>
<tr class="even">
<td><p>LnPi</p></td>
<td><p><span class="math">\(\log_e{\pi}\)</span></p></td>
<td><p>1.1447298858494001741</p></td>
</tr>
<tr class="odd">
<td><p>Ln2PiOver2</p></td>
<td><p><span class="math">\(\frac{1}{2}\log_e{2\pi}\)</span></p></td>
<td><p>0.9189385332046727418</p></td>
</tr>
<tr class="even">
<td><p>InvE</p></td>
<td><p><span class="math">\(\frac{1}{e}\)</span></p></td>
<td><p>0.3678794411714423216</p></td>
</tr>
<tr class="odd">
<td><p>SqrtE</p></td>
<td><p><span class="math">\(\sqrt{e}\)</span></p></td>
<td><p>1.6487212707001281468</p></td>
</tr>
<tr class="even">
<td><p>Sqrt2</p></td>
<td><p><span class="math">\(\sqrt{2}\)</span></p></td>
<td><p>1.4142135623730950488</p></td>
</tr>
<tr class="odd">
<td><p>Sqrt3</p></td>
<td><p><span class="math">\(\sqrt{3}\)</span></p></td>
<td><p>1.7320508075688772935</p></td>
</tr>
<tr class="even">
<td><p>Sqrt1Over2</p></td>
<td><p><span class="math">\(\sqrt{\frac{1}{2}} = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}\)</span></p></td>
<td><p>0.7071067811865475244</p></td>
</tr>
<tr class="odd">
<td><p>HalfSqrt3</p></td>
<td><p><span class="math">\(\frac{1}{2}\sqrt{3}\)</span></p></td>
<td><p>0.8660254037844386468</p></td>
</tr>
<tr class="even">
<td><p>Pi</p></td>
<td><p><span class="math">\(\pi\)</span></p></td>
<td><p>3.1415926535897932385</p></td>
</tr>
<tr class="odd">
<td><p>Pi2</p></td>
<td><p><span class="math">\(2\pi\)</span></p></td>
<td><p>6.2831853071795864769</p></td>
</tr>
<tr class="even">
<td><p>PiOver2</p></td>
<td><p><span class="math">\(\frac{1}{2}\pi\)</span></p></td>
<td><p>1.5707963267948966192</p></td>
</tr>
<tr class="odd">
<td><p>Pi3Over2</p></td>
<td><p><span class="math">\(\frac{3}{2}\pi\)</span></p></td>
<td><p>4.7123889803846898577</p></td>
</tr>
<tr class="even">
<td><p>PiOver4</p></td>
<td><p><span class="math">\(\frac{1}{4}\pi\)</span></p></td>
<td><p>0.7853981633974483096</p></td>
</tr>
<tr class="odd">
<td><p>SqrtPi</p></td>
<td><p><span class="math">\(\sqrt{\pi}\)</span></p></td>
<td><p>1.7724538509055160273</p></td>
</tr>
<tr class="even">
<td><p>Sqrt2Pi</p></td>
<td><p><span class="math">\(\sqrt{2\pi}\)</span></p></td>
<td><p>2.5066282746310005024</p></td>
</tr>
<tr class="odd">
<td><p>Sqrt2PiE</p></td>
<td><p><span class="math">\(\sqrt{2\pi e}\)</span></p></td>
<td><p>4.1327313541224929385</p></td>
</tr>
<tr class="even">
<td><p>LogSqrt2Pi</p></td>
<td><p><span class="math">\(\log_e{\sqrt{2\pi}} = \frac{1}{2}\log_e{2\pi}\)</span></p></td>
<td><p>0.9189385332046727418</p></td>
</tr>
<tr class="odd">
<td><p>LogSqrt2PiE</p></td>
<td><p><span class="math">\(\log_e{\sqrt{2\pi e}}\)</span></p></td>
<td><p>1.4189385332046727418</p></td>
</tr>
<tr class="even">
<td><p>LogTwoSqrtEOverPi</p></td>
<td><p><span class="math">\(\log_e{2\sqrt{\frac{e}{\pi}}}\)</span></p></td>
<td><p>0.6207822376352452223</p></td>
</tr>
<tr class="odd">
<td><p>InvPi</p></td>
<td><p><span class="math">\(\frac{1}{\pi}\)</span></p></td>
<td><p>0.3183098861837906715</p></td>
</tr>
<tr class="even">
<td><p>TwoInvPi</p></td>
<td><p><span class="math">\(\frac{2}{\pi}\)</span></p></td>
<td><p>0.6366197723675813431</p></td>
</tr>
<tr class="odd">
<td><p>InvSqrtPi</p></td>
<td><p><span class="math">\(\frac{1}{\sqrt{\pi}}\)</span></p></td>
<td><p>0.5641895835477562869</p></td>
</tr>
<tr class="even">
<td><p>InvSqrt2Pi</p></td>
<td><p><span class="math">\(\frac{1}{\sqrt{2\pi}}\)</span></p></td>
<td><p>0.3989422804014326779</p></td>
</tr>
<tr class="odd">
<td><p>TwoInvSqrtPi</p></td>
<td><p><span class="math">\(\frac{2}{\sqrt{2\pi}}\)</span></p></td>
<td><p>1.1283791670955125739</p></td>
</tr>
<tr class="even">
<td><p>TwoSqrtEOverPi</p></td>
<td><p><span class="math">\(2\sqrt{\frac{e}{\pi}}\)</span></p></td>
<td><p>1.8603827342052657173</p></td>
</tr>
<tr class="odd">
<td><p>Catalan</p></td>
<td><p><span class="math">\(\beta(2) = \sum_{k=0}^{\infty}{\frac{(-1)^k}{(2k+1)^2}}\)</span></p></td>
<td><p>0.9159655941772190151</p></td>
</tr>
<tr class="even">
<td><p>EulerMascheroni</p></td>
<td><p><span class="math">\(\gamma = \lim_{n\to\infty} {\sum_{k=1}^n{(\frac{1}{k} - \log_e{n})}}\)</span></p></td>
<td><p>0.5772156649015328606</p></td>
</tr>
<tr class="odd">
<td><p>GoldenRatio</p></td>
<td><p><span class="math">\(\frac{1+\sqrt{5}}{2}\)</span></p></td>
<td><p>1.6180339887498948482</p></td>
</tr>
<tr class="even">
<td><p>Glaisher</p></td>
<td><p><span class="math">\(\exp{(\frac{1}{12} - \zeta{(-1)})}\)</span></p></td>
<td><p>1.2824271291006226369</p></td>
</tr>
<tr class="odd">
<td><p>Khinchin</p></td>
<td><p><span class="math">\(K_0 = \prod_{k=1}^{\infty}{(1+\frac{1}{k(k+2)})^{\log_2{k}}}\)</span></p></td>
<td><p>2.6854520010653064453</p></td>
</tr>
</tbody>
</table>
<h2><a name="Universal-Constants" class="anchor" href="#Universal-Constants">Universal Constants</a></h2>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Symbol</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>SpeedOfLight</p></td>
<td><p><span class="math">\(c_0\)</span></p></td>
<td><p><span class="math">\(\frac{m}{s}\)</span></p></td>
<td><p>2.99792458e+8</p></td>
</tr>
<tr class="even">
<td><p>MagneticPermeability</p></td>
<td><p><span class="math">\(\mu_0\)</span></p></td>
<td><p><span class="math">\(\frac{N}{A^2}\)</span> = <span class="math">\(\frac{kg\,m}{A^2s^2}\)</span></p></td>
<td><p>1.2566370614359172954e-6</p></td>
</tr>
<tr class="odd">
<td><p>ElectricPermittivity</p></td>
<td><p><span class="math">\(\varepsilon_0\)</span></p></td>
<td><p><span class="math">\(\frac{F}{m}\)</span> = <span class="math">\(\frac{A^2s^4}{kg\,m^3}\)</span></p></td>
<td><p>8.8541878171937079245e-12</p></td>
</tr>
<tr class="even">
<td><p>CharacteristicImpedanceVacuum</p></td>
<td><p><span class="math">\(Z_0\)</span></p></td>
<td><p><span class="math">\(\Omega = \frac{kg\,m^2}{A^2s^3}\)</span></p></td>
<td><p>376.7303134617706554682</p></td>
</tr>
<tr class="odd">
<td><p>GravitationalConstant</p></td>
<td><p><span class="math">\(G\)</span></p></td>
<td><p><span class="math">\(\frac{m^3}{kg\,s^2}\)</span></p></td>
<td><p>6.67429e-11</p></td>
</tr>
<tr class="even">
<td><p>PlancksConstant</p></td>
<td><p><span class="math">\(h\)</span></p></td>
<td><p><span class="math">\(J\,s = \frac{kg\,m^2}{s}\)</span></p></td>
<td><p>6.62606896e-34</p></td>
</tr>
<tr class="odd">
<td><p>DiracsConstant</p></td>
<td><p><span class="math">\(\hbar\)</span></p></td>
<td><p><span class="math">\(J\,s = \frac{kg\,m^2}{s}\)</span></p></td>
<td><p>1.054571629e-34</p></td>
</tr>
<tr class="even">
<td><p>PlancksMass</p></td>
<td><p><span class="math">\(m_p\)</span></p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>2.17644e-8</p></td>
</tr>
<tr class="odd">
<td><p>PlancksTemperature</p></td>
<td><p><span class="math">\(T_p\)</span></p></td>
<td><p><span class="math">\(K\)</span></p></td>
<td><p>1.416786e+32</p></td>
</tr>
<tr class="even">
<td><p>PlancksLength</p></td>
<td><p><span class="math">\(l_p\)</span></p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>1.616253e-35</p></td>
</tr>
<tr class="odd">
<td><p>PlancksTime</p></td>
<td><p><span class="math">\(t_p\)</span></p></td>
<td><p><span class="math">\(s\)</span></p></td>
<td><p>5.39124e-44</p></td>
</tr>
</tbody>
</table>
<h2><a name="Electromagnetic-Constants" class="anchor" href="#Electromagnetic-Constants">Electromagnetic Constants</a></h2>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Symbol</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>ElementaryCharge</p></td>
<td><p><span class="math">\(e\)</span></p></td>
<td><p><span class="math">\(C = A\,s\)</span></p></td>
<td><p>1.602176487e-19</p></td>
</tr>
<tr class="even">
<td><p>MagneticFluxQuantum</p></td>
<td><p><span class="math">\(\Theta_0\)</span></p></td>
<td><p><span class="math">\(Wb = \frac{kg\,m^2}{A\,s^2}\)</span></p></td>
<td><p>2.067833668e-15</p></td>
</tr>
<tr class="odd">
<td><p>ConductanceQuantum</p></td>
<td><p><span class="math">\(G_0\)</span></p></td>
<td><p><span class="math">\(S = \frac{A^2s^3}{kg\,m^2}\)</span></p></td>
<td><p>7.7480917005e-5</p></td>
</tr>
<tr class="even">
<td><p>JosephsonConstant</p></td>
<td><p><span class="math">\(K_J\)</span></p></td>
<td><p><span class="math">\(\frac{Hz}{V}\)</span></p></td>
<td><p>483597.891e+9</p></td>
</tr>
<tr class="odd">
<td><p>VonKlitzingConstant</p></td>
<td><p><span class="math">\(R_K\)</span></p></td>
<td><p><span class="math">\(\Omega = \frac{kg\,m^2}{A^2s^3}\)</span></p></td>
<td><p>25812.807557</p></td>
</tr>
<tr class="even">
<td><p>BohrMagneton</p></td>
<td><p><span class="math">\(\mu_B\)</span></p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>927.400915e-26</p></td>
</tr>
<tr class="odd">
<td><p>NuclearMagneton</p></td>
<td><p><span class="math">\(\mu_N\)</span></p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>5.05078324e-27</p></td>
</tr>
</tbody>
</table>
<h2><a name="Atomic-and-Nuclear-Constants" class="anchor" href="#Atomic-and-Nuclear-Constants">Atomic and Nuclear Constants</a></h2>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Symbol</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>FineStructureConstant</p></td>
<td><p><span class="math">\(\alpha\)</span></p></td>
<td><p><span class="math">\(1\)</span></p></td>
<td><p>7.2973525376e-3</p></td>
</tr>
<tr class="even">
<td><p>RydbergConstant</p></td>
<td><p><span class="math">\(T_{\infty}\)</span></p></td>
<td><p><span class="math">\(\frac{1}{m}\)</span></p></td>
<td><p>10973731.568528</p></td>
</tr>
<tr class="odd">
<td><p>BohrRadius</p></td>
<td><p><span class="math">\(a_0\)</span></p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>0.52917720859e-10</p></td>
</tr>
<tr class="even">
<td><p>HartreeEnergy</p></td>
<td><p><span class="math">\(E_h\)</span></p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>4.35974394e-18</p></td>
</tr>
<tr class="odd">
<td><p>QuantumOfCirculation</p></td>
<td></td>
<td><p><span class="math">\(\frac{m^2}{s}\)</span></p></td>
<td><p>3.6369475199e-4</p></td>
</tr>
<tr class="even">
<td><p>FermiCouplingConstant</p></td>
<td></td>
<td><p><span class="math">\(\frac{1}{GeV^2}\)</span></p></td>
<td><p>1.16637e-5</p></td>
</tr>
<tr class="odd">
<td><p>WeakMixingAngle</p></td>
<td></td>
<td></td>
<td><p>0.22256</p></td>
</tr>
<tr class="even">
<td><p>Avogadro</p></td>
<td></td>
<td><p><span class="math">\(\frac{1}{mol}\)</span></p></td>
<td><p>6.0221412927e23</p></td>
</tr>
</tbody>
</table>
<h4><a name="Electron" class="anchor" href="#Electron">Electron</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>ElectronMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>9.10938215e-31</p></td>
</tr>
<tr class="even">
<td><p>ElectronMassEnergyEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>8.18710438e-14</p></td>
</tr>
<tr class="odd">
<td><p>ElectronMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>5.4857990943e-7</p></td>
</tr>
<tr class="even">
<td><p>ComptonWavelength</p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>2.4263102175e-12</p></td>
</tr>
<tr class="odd">
<td><p>ClassicalElectronRadius</p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>2.8179402894e-15</p></td>
</tr>
<tr class="even">
<td><p>ThomsonCrossSection</p></td>
<td><p><span class="math">\(m^2\)</span></p></td>
<td><p>0.6652458558e-28</p></td>
</tr>
<tr class="odd">
<td><p>ElectronMagneticMoment</p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>-928.476377e-26</p></td>
</tr>
<tr class="even">
<td><p>ElectronGFactor</p></td>
<td></td>
<td><p>-2.0023193043622</p></td>
</tr>
</tbody>
</table>
<h4><a name="Muon" class="anchor" href="#Muon">Muon</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>MuonMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>1.88353130e-28</p></td>
</tr>
<tr class="even">
<td><p>MuonMassEnegryEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>1.692833511e-11</p></td>
</tr>
<tr class="odd">
<td><p>MuonMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>0.1134289256e-3</p></td>
</tr>
<tr class="even">
<td><p>MuonComptonWavelength</p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>11.73444104e-15</p></td>
</tr>
<tr class="odd">
<td><p>MuonMagneticMoment</p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>-4.49044786e-26</p></td>
</tr>
<tr class="even">
<td><p>MuonGFactor</p></td>
<td></td>
<td><p>-2.0023318414</p></td>
</tr>
</tbody>
</table>
<h4><a name="Tau" class="anchor" href="#Tau">Tau</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>TauMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>3.16777e-27</p></td>
</tr>
<tr class="even">
<td><p>TauMassEnergyEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>2.84705e-10</p></td>
</tr>
<tr class="odd">
<td><p>TauMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>1.90768e-3</p></td>
</tr>
<tr class="even">
<td><p>TauComptonWavelength</p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>0.69772e-15</p></td>
</tr>
</tbody>
</table>
<h4><a name="Proton" class="anchor" href="#Proton">Proton</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>ProtonMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>1.672621637e-27</p></td>
</tr>
<tr class="even">
<td><p>ProtonMassEnergyEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>1.503277359e-10</p></td>
</tr>
<tr class="odd">
<td><p>ProtonMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>1.00727646677e-3</p></td>
</tr>
<tr class="even">
<td><p>ProtonComptonWavelength</p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>1.3214098446e-15</p></td>
</tr>
<tr class="odd">
<td><p>ProtonMagneticMoment</p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>1.410606662e-26</p></td>
</tr>
<tr class="even">
<td><p>ShieldedProtonMagneticMoment</p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>1.410570419e-26</p></td>
</tr>
<tr class="odd">
<td><p>ProtonGFactor</p></td>
<td></td>
<td><p>5.585694713</p></td>
</tr>
<tr class="even">
<td><p>ProtonGyromagneticRatio</p></td>
<td><p><span class="math">\(\frac{1}{T\,s}\)</span></p></td>
<td><p>2.675222099e8</p></td>
</tr>
<tr class="odd">
<td><p>ShieldedProtonGyromagneticRatio</p></td>
<td><p><span class="math">\(\frac{1}{T\,s}\)</span></p></td>
<td><p>2.675153362e8</p></td>
</tr>
</tbody>
</table>
<h4><a name="Neutron" class="anchor" href="#Neutron">Neutron</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>NeutronMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>1.674927212e-27</p></td>
</tr>
<tr class="even">
<td><p>NeutronMassEnegryEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>1.505349506e-10</p></td>
</tr>
<tr class="odd">
<td><p>NeutronMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>1.00866491597e-3</p></td>
</tr>
<tr class="even">
<td><p>NeutronComptonWavelength</p></td>
<td><p><span class="math">\(m\)</span></p></td>
<td><p>1.3195908951e-1</p></td>
</tr>
<tr class="odd">
<td><p>NeutronMagneticMoment</p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>-0.96623641e-26</p></td>
</tr>
<tr class="even">
<td><p>NeutronGFactor</p></td>
<td></td>
<td><p>-3.82608545</p></td>
</tr>
<tr class="odd">
<td><p>NeutronGyromagneticRatio</p></td>
<td><p><span class="math">\(\frac{1}{T\,s}\)</span></p></td>
<td><p>1.83247185e8</p></td>
</tr>
</tbody>
</table>
<h4><a name="Deuteron" class="anchor" href="#Deuteron">Deuteron</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>DeuteronMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>3.34358320e-27</p></td>
</tr>
<tr class="even">
<td><p>DeuteronMassEnegryEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>3.00506272e-10</p></td>
</tr>
<tr class="odd">
<td><p>DeuteronMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>2.013553212725e-3</p></td>
</tr>
<tr class="even">
<td><p>DeuteronMagneticMoment</p></td>
<td><p><span class="math">\(\frac{J}{T}\)</span></p></td>
<td><p>0.433073465e-26</p></td>
</tr>
</tbody>
</table>
<h4><a name="Helion" class="anchor" href="#Helion">Helion</a></h4>
<table>
<thead>
<tr class="header">
<th><p>Constant</p></th>
<th><p>Unit</p></th>
<th><p>Value</p></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td><p>HelionMass</p></td>
<td><p><span class="math">\(kg\)</span></p></td>
<td><p>5.00641192e-27</p></td>
</tr>
<tr class="even">
<td><p>HelionMassEnegryEquivalent</p></td>
<td><p><span class="math">\(J\)</span></p></td>
<td><p>4.49953864e-10</p></td>
</tr>
<tr class="odd">
<td><p>HelionMolarMass</p></td>
<td><p><span class="math">\(\frac{kg}{mol}\)</span></p></td>
<td><p>3.0149322473e-3</p></td>
</tr>
</tbody>
</table>
</div>
<!-- BEGIN SEARCH BOX: this adds support for the search box -->
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/JavaScript-autoComplete/1.0.4/auto-complete.css" />
<script type="text/javascript">var fsdocs_search_baseurl = 'https://numerics.mathdotnet.com/';</script>
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.8/lunr.min.js"></script>
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/JavaScript-autoComplete/1.0.4/auto-complete.min.js"></script>
<script type="text/javascript" src="https://numerics.mathdotnet.com/content/fsdocs-search.js"></script>
<!-- END SEARCH BOX: this adds support for the search box -->
</div>
</body>
</html>