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Version:
2.5.0 ▾
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within Modelica;
package Constants
"Library of mathematical constants and constants of nature (e.g., pi, eps, R, sigma)"
import SI = Modelica.SIunits;
import NonSI = Modelica.SIunits.Conversions.NonSIunits;
extends Modelica.Icons.Library2;
// Mathematical constants
final constant Real e=Modelica.Math.exp(1.0);
final constant Real pi=2*Modelica.Math.asin(1.0); // 3.14159265358979;
final constant Real D2R=pi/180 "Degree to Radian";
final constant Real R2D=180/pi "Radian to Degree";
// Machine dependent constants
// (the definition is a temporary fix since not adapted to the
// machine where the Modelica translator is running)
final constant Real eps=1.e-15 "Biggest number such that 1.0 + eps = 1.0";
final constant Real small=1.e-60
"Smallest number such that small and -small are representable on the machine";
final constant Real inf=1.e+60
"Biggest Real number such that inf and -inf are representable on the machine";
final constant Integer Integer_inf=2147483647
"Biggest Integer number such that Integer_inf and -Integer_inf are representable on the machine";
// Constants of nature
// (name, value, description from http://physics.nist.gov/cuu/Constants/)
final constant SI.Velocity c=299792458 "Speed of light in vacuum";
final constant SI.Acceleration g_n=9.80665
"Standard acceleration of gravity on earth";
final constant Real G(final unit="m3/(kg.s2)") = 6.6742e-11
"Newtonian constant of gravitation";
final constant SI.FaradayConstant F = 9.64853399e4 "Faraday constant, C/mol";
final constant Real h(final unit="J.s") = 6.6260693e-34 "Planck constant";
final constant Real k(final unit="J/K") = 1.3806505e-23 "Boltzmann constant";
final constant Real R(final unit="J/(mol.K)") = 8.314472 "Molar gas constant";
final constant Real sigma(final unit="W/(m2.K4)") = 5.670400e-8
"Stefan-Boltzmann constant";
final constant Real N_A(final unit="1/mol") = 6.0221415e23
"Avogadro constant";
final constant Real mue_0(final unit="N/A2") = 4*pi*1.e-7 "Magnetic constant";
final constant Real epsilon_0(final unit="F/m") = 1/(mue_0*c*c)
"Electric constant";
final constant NonSI.Temperature_degC T_zero=-273.15
"Absolute zero temperature";
annotation (
Documentation(info="<html>
<p>
This package provides often needed constants from mathematics, machine
dependent constants and constants from nature. The latter constants
(name, value, description) are from the following source:
</p>
<dl>
<dt>Peter J. Mohr and Barry N. Taylor (1999):</dt>
<dd><b>CODATA Recommended Values of the Fundamental Physical Constants: 1998</b>.
Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and
Reviews of Modern Physics, Vol. 72, No. 2, 2000. See also <a href=
\"http://physics.nist.gov/cuu/Constants/\">http://physics.nist.gov/cuu/Constants/</a></dd>
</dl>
<p>CODATA is the Committee on Data for Science and Technology.</p>
<dl>
<dt><b>Main Author:</b></dt>
<dd><a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a><br>
Deutsches Zentrum für Luft und Raumfahrt e. V. (DLR)<br>
Oberpfaffenhofen<br>
Postfach 11 16<br>
D-82230 Weßling<br>
email: <a href=\"mailto:Martin.Otter@dlr.de\">Martin.Otter@dlr.de</a></dd>
</dl>
<p>
Copyright © 1998-2009, Modelica Association and DLR.
</p>
<p>
<i>This Modelica package is <b>free</b> software; it can be redistributed and/or modified
under the terms of the <b>Modelica license</b>, see the license conditions
and the accompanying <b>disclaimer</b>
<a href=\"Modelica://Modelica.UsersGuide.ModelicaLicense\">here</a>.</i>
</p><br>
</html>
", revisions="<html>
<ul>
<li><i>Nov 8, 2004</i>
by <a href=\"http://www.robotic.dlr.de/Christian.Schweiger/\">Christian Schweiger</a>:<br>
Constants updated according to 2002 CODATA values.</li>
<li><i>Dec 9, 1999</i>
by <a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a>:<br>
Constants updated according to 1998 CODATA values. Using names, values
and description text from this source. Included magnetic and
electric constant.</li>
<li><i>Sep 18, 1999</i>
by <a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a>:<br>
Constants eps, inf, small introduced.</li>
<li><i>Nov 15, 1997</i>
by <a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a>:<br>
Realized.</li>
</ul>
</html>"),
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end Constants;