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="

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:

Peter J. Mohr and Barry N. Taylor (1999):
CODATA Recommended Values of the Fundamental Physical Constants: 1998. Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and Reviews of Modern Physics, Vol. 72, No. 2, 2000. See also http://physics.nist.gov/cuu/Constants/

CODATA is the Committee on Data for Science and Technology.

Main Author:
Martin Otter
Deutsches Zentrum für Luft und Raumfahrt e. V. (DLR)
Oberpfaffenhofen
Postfach 11 16
D-82230 Weßling
email: Martin.Otter@dlr.de

Copyright © 1998-2009, Modelica Association and DLR.

This Modelica package is free software; it can be redistributed and/or modified under the terms of the Modelica license, see the license conditions and the accompanying disclaimer here.


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