Package Modelica.Constants
Library of mathematical constants and constants of nature (e.g., pi, eps, R, sigma)

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 (based on the second source):

Michael Stock, Richard Davis, Estefanía de Mirandés and Martin J T Milton:: The revision of the SI-the result of three decades of progress in metrology in Metrologia, Volume 56, Number 2. https://iopscience.iop.org/article/10.1088/1681-7575/ab0013/pdf, 2019.

D B Newell, F Cabiati, J Fischer, K Fujii, S G Karshenboim, H S Margolis , E de Mirandés, P J Mohr, F Nez, K Pachucki, T J Quinn, B N Taylor, M Wang, B M Wood and Z Zhang:: The CODATA 2017 values of h, e, k, and NA for the revision of the SI in Metrologia, Volume 55, Number 1. https://iopscience.iop.org/article/10.1088/1681-7575/aa950a/pdf, 2017.

BIPM is Bureau International des Poids et Mesures (they publish the SI-standard).

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 1116
D-82230 Weßling
email: Martin.Otter@dlr.de

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

Package Constants

Type	Name	Value	Description
`final` `Velocity`	`c`	`2.99792458e+8`	Speed of light in vacuum
`final` `Real`	`D2R`	`0.005555555555556 * pi`	Degree to Radian
`final` `Real`	`e`	`Modelica.Math.exp(1)`
`final` `Real`	`eps`	`ModelicaServices.Machine.eps`	Biggest number such that 1.0 + eps = 1.0
`final` `Real`	`epsilon_0`	`(mu_0 * c * c) ^ (-1)`	Electric constant
`final` `FaradayConstant`	`F`	`q * N_A`	Faraday constant, C/mol
`final` `Real`	`G`	`6.6743e-11`	Newtonian constant of gravitation
`final` `Acceleration`	`g_n`	`9.80665`	Standard acceleration of gravity on earth
`final` `Real`	`gamma`	`0.577215664901533`	See http://en.wikipedia.org/wiki/Euler_constant
`final` `Real`	`h`	`6.62607015e-34`	Planck constant
`final` `Real`	`inf`	`ModelicaServices.Machine.inf`	Biggest Real number such that inf and -inf are representable on the machine
`final` `Integer`	`Integer_inf`	`ModelicaServices.Machine.Integer_inf`	Biggest Integer number such that Integer_inf and -Integer_inf are representable on the machine
`final` `Real`	`k`	`1.380649e-23`	Boltzmann constant
`final` `Real`	`mu_0`	`4 * pi * (1.000000001e-7)`	Magnetic constant
`final` `Real`	`N_A`	`6.02214076e+23`	Avogadro constant
`final` `Real`	`pi`	`2 * Modelica.Math.asin(1)`
`final` `ElectricCharge`	`q`	`1.602176634e-19`	Elementary charge
`final` `Real`	`R`	`k * N_A`	Molar gas constant
`final` `Real`	`R2D`	`180 / pi`	Radian to Degree
`final` `Real`	`sigma`	`2 * pi ^ 5 * k ^ 4 / (15 * h ^ 3 * c ^ 2)`	Stefan-Boltzmann constant
`final` `Real`	`small`	`ModelicaServices.Machine.small`	Smallest number such that small and -small are representable on the machine
`final` `Temperature_degC`	`T_zero`	`-273.15`	Absolute zero temperature

Package Modelica.​ConstantsLibrary of mathematical constants and constants of nature (e.g., pi, eps, R, sigma)

Information

Package Constants

Package Modelica.Constants
Library of mathematical constants and constants of nature (e.g., pi, eps, R, sigma)