Modelica.Constants

Information

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 © 1998-2010, Modelica Association and DLR.

This Modelica package is free software and the use is completely at your own risk; it can be redistributed and/or modified under the terms of the Modelica License 2. For license conditions (including the disclaimer of warranty) see Modelica.UsersGuide.ModelicaLicense2 or visit http://www.modelica.org/licenses/ModelicaLicense2.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
e=Modelica.Math.exp(1.0)
pi=2*Modelica.Math.asin(1.0)
D2R=pi/180	Degree to Radian
R2D=180/pi	Radian to Degree
gamma=0.57721566490153286060	see http://en.wikipedia.org/wiki/Euler_constant
eps=1.e-15	Biggest number such that 1.0 + eps = 1.0
small=1.e-60	Smallest number such that small and -small are representable on the machine
inf=1.e+60	Biggest Real number such that inf and -inf are representable on the machine
Integer_inf=2147483647	Biggest Integer number such that Integer_inf and -Integer_inf are representable on the machine
c=299792458	Speed of light in vacuum
g_n=9.80665	Standard acceleration of gravity on earth
G=6.6742e-11	Newtonian constant of gravitation
F=9.64853399e4	Faraday constant, C/mol
h=6.6260693e-34	Planck constant
k=1.3806505e-23	Boltzmann constant
R=8.314472	Molar gas constant
sigma=5.670400e-8	Stefan-Boltzmann constant
N_A=6.0221415e23	Avogadro constant
mue_0=4*pi*1.e-7	Magnetic constant
epsilon_0=1/(mue_0*c*c)	Electric constant
T_zero=-273.15	Absolute zero temperature

Types and constants

  final constant Real e=Modelica.Math.exp(1.0);

  final constant Real pi=2*Modelica.Math.asin(1.0);

  final constant Real D2R=pi/180 "Degree to Radian";

  final constant Real R2D=180/pi "Radian to Degree";

  final constant Real gamma=0.57721566490153286060 
  "see http://en.wikipedia.org/wiki/Euler_constant";

  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";

  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";