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 © 1998-2009, 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.

Extends from Modelica.Icons.Library2 (Icon for library where additional icon elements shall be added).

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
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 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";