Library of mathematical constants and constants of nature (e.g., pi, eps, R, sigma)
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:
CODATA is the Committee on Data for Science and Technology.
Copyright © 1998-2019, Modelica Association and contributors
Extends from Modelica.Icons.Package (Icon for standard packages).
| 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=ModelicaServices.Machine.eps | Biggest number such that 1.0 + eps = 1.0 |
| small=ModelicaServices.Machine.small | Smallest number such that small and -small are representable on the machine |
| inf=ModelicaServices.Machine.inf | Biggest Real number such that inf and -inf are representable on the machine |
| Integer_inf=ModelicaServices.Machine.Integer_inf | 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=6.67408e-11 | Newtonian constant of gravitation (previous value: 6.6742e-11) |
| F=9.648533289e4 | Faraday constant, C/mol (previous value: 9.64853399e4) |
| h=6.626070040e-34 | Planck constant (previous value: 6.6260693e-34) |
| k=1.38064852e-23 | Boltzmann constant (previous value: 1.3806505e-23) |
| R=8.3144598 | Molar gas constant (previous value: 8.314472) |
| sigma=5.670367e-8 | Stefan-Boltzmann constant (previous value: 5.670400e-8) |
| N_A=6.022140857e23 | Avogadro constant (previous value: 6.0221415e23) |
| mue_0=4*pi*1.e-7 | Magnetic constant |
| epsilon_0=1/(mue_0*c*c) | Electric constant |
| q=Modelica.Constants.F/Modelica.Constants.N_A | Elementary charge (electron charge without sign) = 1.602177e-19 C |
| T_zero=-273.15 | Absolute zero temperature |