1within Modelica; 2package Constants 3 "Library of mathematical constants and constants of nature (e.g., pi, eps, R, sigma)" 4 5 import SI = Modelica.SIunits; 6 import NonSI = Modelica.SIunits.Conversions.NonSIunits; 7 8 extends Modelica.Icons.Library2; 9 10 // Mathematical constants 11 final constant Real e=Modelica.Math.exp(1.0); 12 final constant Real pi=2*Modelica.Math.asin(1.0); // 3.14159265358979; 13 final constant Real D2R=pi/180 "Degree to Radian"; 14 final constant Real R2D=180/pi "Radian to Degree"; 15 16 // Machine dependent constants 17 // (the definition is a temporary fix since not adapted to the 18 // machine where the Modelica translator is running) 19 final constant Real eps=1.e-15 "Biggest number such that 1.0 + eps = 1.0"; 20 final constant Real small=1.e-60 21 "Smallest number such that small and -small are representable on the machine"; 22 final constant Real inf=1.e+60 23 "Biggest Real number such that inf and -inf are representable on the machine"; 24 final constant Integer Integer_inf=2147483647 25 "Biggest Integer number such that Integer_inf and -Integer_inf are representable on the machine"; 26 27 // Constants of nature 28 // (name, value, description from http://physics.nist.gov/cuu/Constants/) 29 final constant SI.Velocity c=299792458 "Speed of light in vacuum"; 30 final constant SI.Acceleration g_n=9.80665 31 "Standard acceleration of gravity on earth"; 32 final constant Real G(final unit="m3/(kg.s2)") = 6.6742e-11 33 "Newtonian constant of gravitation"; 34 final constant SI.FaradayConstant F = 9.64853399e4 "Faraday constant, C/mol"; 35 final constant Real h(final unit="J.s") = 6.6260693e-34 "Planck constant"; 36 final constant Real k(final unit="J/K") = 1.3806505e-23 "Boltzmann constant"; 37 final constant Real R(final unit="J/(mol.K)") = 8.314472 "Molar gas constant"; 38 final constant Real sigma(final unit="W/(m2.K4)") = 5.670400e-8 39 "Stefan-Boltzmann constant"; 40 final constant Real N_A(final unit="1/mol") = 6.0221415e23 41 "Avogadro constant"; 42 final constant Real mue_0(final unit="N/A2") = 4*pi*1.e-7 "Magnetic constant"; 43 final constant Real epsilon_0(final unit="F/m") = 1/(mue_0*c*c) 44 "Electric constant"; 45 final constant NonSI.Temperature_degC T_zero=-273.15 46 "Absolute zero temperature"; 47 48 annotation ( 49 Documentation(info="<html> 50<p> 51This package provides often needed constants from mathematics, machine 52dependent constants and constants from nature. The latter constants 53(name, value, description) are from the following source: 54</p> 55 56<dl> 57<dt>Peter J. Mohr and Barry N. Taylor (1999):</dt> 58<dd><b>CODATA Recommended Values of the Fundamental Physical Constants: 1998</b>. 59 Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and 60 Reviews of Modern Physics, Vol. 72, No. 2, 2000. See also <a href= 61\"http://physics.nist.gov/cuu/Constants/\">http://physics.nist.gov/cuu/Constants/</a></dd> 62</dl> 63 64<p>CODATA is the Committee on Data for Science and Technology.</p> 65 66<dl> 67<dt><b>Main Author:</b></dt> 68<dd><a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a><br> 69 Deutsches Zentrum für Luft und Raumfahrt e. V. (DLR)<br> 70 Oberpfaffenhofen<br> 71 Postfach 11 16<br> 72 D-82230 Weßling<br> 73 email: <a href=\"mailto:Martin.Otter@dlr.de\">Martin.Otter@dlr.de</a></dd> 74</dl> 75 76 77<p> 78Copyright © 1998-2009, Modelica Association and DLR. 79</p> 80<p> 81<i>This Modelica package is <b>free</b> software; it can be redistributed and/or modified 82under the terms of the <b>Modelica license</b>, see the license conditions 83and the accompanying <b>disclaimer</b> 84<a href=\"Modelica://Modelica.UsersGuide.ModelicaLicense\">here</a>.</i> 85</p><br> 86</html> 87", revisions="<html> 88<ul> 89<li><i>Nov 8, 2004</i> 90 by <a href=\"http://www.robotic.dlr.de/Christian.Schweiger/\">Christian Schweiger</a>:<br> 91 Constants updated according to 2002 CODATA values.</li> 92<li><i>Dec 9, 1999</i> 93 by <a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a>:<br> 94 Constants updated according to 1998 CODATA values. Using names, values 95 and description text from this source. Included magnetic and 96 electric constant.</li> 97<li><i>Sep 18, 1999</i> 98 by <a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a>:<br> 99 Constants eps, inf, small introduced.</li> 100<li><i>Nov 15, 1997</i> 101 by <a href=\"http://www.robotic.dlr.de/Martin.Otter/\">Martin Otter</a>:<br> 102 Realized.</li> 103</ul> 104</html>"), 105 Invisible=true, 106 Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,-100},{100, 107 100}}), graphics={ 108 Line( 109 points={{-34,-38},{12,-38}}, 110 color={0,0,0}, 111 thickness=0.5), 112 Line( 113 points={{-20,-38},{-24,-48},{-28,-56},{-34,-64}}, 114 color={0,0,0}, 115 thickness=0.5), 116 Line( 117 points={{-2,-38},{2,-46},{8,-56},{14,-64}}, 118 color={0,0,0}, 119 thickness=0.5)}), 120 Diagram(graphics={ 121 Rectangle( 122 extent={{200,162},{380,312}}, 123 fillColor={235,235,235}, 124 fillPattern=FillPattern.Solid, 125 lineColor={0,0,255}), 126 Polygon( 127 points={{200,312},{220,332},{400,332},{380,312},{200,312}}, 128 fillColor={235,235,235}, 129 fillPattern=FillPattern.Solid, 130 lineColor={0,0,255}), 131 Polygon( 132 points={{400,332},{400,182},{380,162},{380,312},{400,332}}, 133 fillColor={235,235,235}, 134 fillPattern=FillPattern.Solid, 135 lineColor={0,0,255}), 136 Text( 137 extent={{210,302},{370,272}}, 138 lineColor={160,160,164}, 139 fillColor={0,0,0}, 140 fillPattern=FillPattern.Solid, 141 textString="Library"), 142 Line( 143 points={{266,224},{312,224}}, 144 color={0,0,0}, 145 thickness=1), 146 Line( 147 points={{280,224},{276,214},{272,206},{266,198}}, 148 color={0,0,0}, 149 thickness=1), 150 Line( 151 points={{298,224},{302,216},{308,206},{314,198}}, 152 color={0,0,0}, 153 thickness=1), 154 Text( 155 extent={{152,412},{458,334}}, 156 lineColor={255,0,0}, 157 textString="Modelica.Constants")})); 158end Constants; 159