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<div class="section" id="other-constants-and-units-other-ini">
<h1>Other constants and units (<a class="reference external" href="https://github.com/kdavies4/natu/blob/master/natu/config/other.ini">other.ini</a>)<a class="headerlink" href="#other-constants-and-units-other-ini" title="Permalink to this headline">¶</a></h1>
<p>The table below lists the contents of the <a class="reference external" href="https://github.com/kdavies4/natu/blob/master/natu/config/other.ini">other.ini</a> file. It establishes some
units besides the <a class="reference external" href="http://en.wikipedia.org/wiki/International_System_of_Units">SI</a> and non-SI units from <a class="reference internal" href="#bipm2006" id="id1">[BIPM2006]</a>.</p>
<p>The definitions below depend on the following items:</p>
<ul class="simple">
<li>Mathematical constants: <em>pi</em></li>
<li>Base constants: <em>c</em></li>
<li><a class="reference external" href="http://en.wikipedia.org/wiki/International_System_of_Units">SI</a> and non-SI units from <a class="reference internal" href="#bipm2006" id="id2">[BIPM2006]</a></li>
<li>Other constants and units: <em>g_0</em> and cyc</li>
</ul>
<table border="1" class="docutils">
<colgroup>
<col width="5%" />
<col width="25%" />
<col width="4%" />
<col width="66%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Symbol</th>
<th class="head">Expression</th>
<th class="head">Prefixable</th>
<th class="head">Name & notes</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td colspan="4">—— Time ——</td>
</tr>
<tr class="row-odd"><td>y</td>
<td><tt class="docutils literal"><span class="pre">365.25*d</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Julian_year_(astronomy)">Julian year</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Length ——</td>
</tr>
<tr class="row-odd"><td>ly</td>
<td><tt class="docutils literal"><span class="pre">c*y</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Light_year">light year</a></td>
</tr>
<tr class="row-even"><td>au</td>
<td><tt class="docutils literal"><span class="pre">149597870700*m</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Astronomical_unit">astronomical unit</a></td>
</tr>
<tr class="row-odd"><td>pc</td>
<td><tt class="docutils literal"><span class="pre">au*648e3/pi</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Parsec">parsec</a></td>
</tr>
<tr class="row-even"><td>inch</td>
<td><tt class="docutils literal"><span class="pre">2.54*cm</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Inch">inch</a></td>
</tr>
<tr class="row-odd"><td>ft</td>
<td><tt class="docutils literal"><span class="pre">12*inch</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Foot_(unit)">foot</a></td>
</tr>
<tr class="row-even"><td>yd</td>
<td><tt class="docutils literal"><span class="pre">3*ft</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Yard_(unit)">yard</a></td>
</tr>
<tr class="row-odd"><td>mi</td>
<td><tt class="docutils literal"><span class="pre">1760*yd</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Mile">mile</a></td>
</tr>
<tr class="row-even"><td>pica</td>
<td><tt class="docutils literal"><span class="pre">inch/6</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Pica_(typography)">pica</a></td>
</tr>
<tr class="row-odd"><td>point</td>
<td><tt class="docutils literal"><span class="pre">pica/12</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Point_(typography)">point</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Mass ——</td>
</tr>
<tr class="row-odd"><td>u</td>
<td><tt class="docutils literal"><span class="pre">g/(N_A*mol)</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Atomic_mass_unit">unified atomic mass unit</a> (aka dalton (Da))</td>
</tr>
<tr class="row-even"><td>oz</td>
<td><tt class="docutils literal"><span class="pre">28.349523125*g</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Ounce#International_avoirdupois_ounce">avoirdupois ounce</a></td>
</tr>
<tr class="row-odd"><td>lb</td>
<td><tt class="docutils literal"><span class="pre">16*oz</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Pound_(mass)">pound</a></td>
</tr>
<tr class="row-even"><td>ton</td>
<td><tt class="docutils literal"><span class="pre">2e3*lb</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Short_ton">short ton</a></td>
</tr>
<tr class="row-odd"><td colspan="4">—— Force ——</td>
</tr>
<tr class="row-even"><td>lbf</td>
<td><tt class="docutils literal"><span class="pre">lb*g_0</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Pound_force">pound force</a></td>
</tr>
<tr class="row-odd"><td>kip</td>
<td><tt class="docutils literal"><span class="pre">1000*lbf</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Kip_(unit)">kip</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Pressure ——</td>
</tr>
<tr class="row-odd"><td>atm</td>
<td><tt class="docutils literal"><span class="pre">101325*Pa</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Atmosphere_(unit)">atmosphere</a></td>
</tr>
<tr class="row-even"><td>Pag</td>
<td><tt class="docutils literal"><span class="pre">(lambda</span> <span class="pre">n:</span> <span class="pre">n*Pa</span> <span class="pre">+</span> <span class="pre">atm,</span> <span class="pre">lambda</span> <span class="pre">p:</span> <span class="pre">(p</span> <span class="pre">-</span> <span class="pre">atm)/Pa)</span></tt></td>
<td><em>True</em></td>
<td>pascal, gauge</td>
</tr>
<tr class="row-odd"><td>psi</td>
<td><tt class="docutils literal"><span class="pre">lbf/inch**2</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Pounds_per_square_inch">pounds per square inch</a></td>
</tr>
<tr class="row-even"><td>psig</td>
<td><tt class="docutils literal"><span class="pre">(lambda</span> <span class="pre">n:</span> <span class="pre">n*psi</span> <span class="pre">+</span> <span class="pre">atm,</span> <span class="pre">lambda</span> <span class="pre">p:</span> <span class="pre">(p</span> <span class="pre">-</span> <span class="pre">atm)/psi)</span></tt></td>
<td><em>False</em></td>
<td>pounds per square inch, gauge</td>
</tr>
<tr class="row-odd"><td>Torr</td>
<td><tt class="docutils literal"><span class="pre">atm/760</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Torr">torr</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Energy ——</td>
</tr>
<tr class="row-odd"><td>BTU</td>
<td><tt class="docutils literal"><span class="pre">1055.05585262*J</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/British_thermal_unit">British thermal unit</a>, based on International Steam Table calorie <a class="reference internal" href="#it1956" id="id3">[IT1956]</a></td>
</tr>
<tr class="row-even"><td>cal</td>
<td><tt class="docutils literal"><span class="pre">4.184*J</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Small_calorie">small calorie</a> (thermochemical)</td>
</tr>
<tr class="row-odd"><td>Cal</td>
<td><tt class="docutils literal"><span class="pre">kcal</span></tt></td>
<td><em>True</em></td>
<td>large calorie (aka food calorie)</td>
</tr>
<tr class="row-even"><td>Wh</td>
<td><tt class="docutils literal"><span class="pre">W*hr</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Watt_hour">watt hour</a></td>
</tr>
<tr class="row-odd"><td>eV</td>
<td><tt class="docutils literal"><span class="pre">e*V</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Electron_volt">electron volt</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Power ——</td>
</tr>
<tr class="row-odd"><td>hp</td>
<td><tt class="docutils literal"><span class="pre">550*ft*lbf/s</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Horsepower#Mechanical_horsepower">mechanical horsepower</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Area ——</td>
</tr>
<tr class="row-odd"><td>ac</td>
<td><tt class="docutils literal"><span class="pre">mi**2/640</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Acre">acre</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Volume ——</td>
</tr>
<tr class="row-odd"><td>gal</td>
<td><tt class="docutils literal"><span class="pre">231*inch**3</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/US_gallon">US gallon</a></td>
</tr>
<tr class="row-even"><td>qt</td>
<td><tt class="docutils literal"><span class="pre">gal/4</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/US_quart#United_States_liquid_quart">US quart</a></td>
</tr>
<tr class="row-odd"><td>pt</td>
<td><tt class="docutils literal"><span class="pre">qt/2</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/US_pint">US pint</a></td>
</tr>
<tr class="row-even"><td>cup</td>
<td><tt class="docutils literal"><span class="pre">pt/2</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Cup_(unit)#United_States_customary_cup">US cup</a></td>
</tr>
<tr class="row-odd"><td>fluid_oz</td>
<td><tt class="docutils literal"><span class="pre">cup/8</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/US_fluid_ounce">US fluid ounce</a></td>
</tr>
<tr class="row-even"><td>bbl</td>
<td><tt class="docutils literal"><span class="pre">42*gal</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Oil_barrel#Oil_barrel">oil barrel</a></td>
</tr>
<tr class="row-odd"><td colspan="4">—— Angle ——</td>
</tr>
<tr class="row-even"><td>grad</td>
<td><tt class="docutils literal"><span class="pre">cyc/400</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Gradian">gradian</a></td>
</tr>
<tr class="row-odd"><td>sign</td>
<td><tt class="docutils literal"><span class="pre">rad/6</span></tt></td>
<td><em>False</em></td>
<td> </td>
</tr>
<tr class="row-even"><td>sextant</td>
<td><tt class="docutils literal"><span class="pre">cyc/6</span></tt></td>
<td><em>False</em></td>
<td> </td>
</tr>
<tr class="row-odd"><td>quadrant</td>
<td><tt class="docutils literal"><span class="pre">cyc/4</span></tt></td>
<td><em>False</em></td>
<td> </td>
</tr>
<tr class="row-even"><td colspan="4">—— Solid angle ——</td>
</tr>
<tr class="row-odd"><td>sp</td>
<td><tt class="docutils literal"><span class="pre">4*pi*sr</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Spat_(unit)">spat</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Velocity ——</td>
</tr>
<tr class="row-odd"><td>mph</td>
<td><tt class="docutils literal"><span class="pre">mi/hr</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Miles_per_hour">miles per hour</a></td>
</tr>
<tr class="row-even"><td>kph</td>
<td><tt class="docutils literal"><span class="pre">km/hr</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Kilometers_per_hour">kilometres per hour</a></td>
</tr>
<tr class="row-odd"><td colspan="4">—— Frequency/Angular velocity ——</td>
</tr>
<tr class="row-even"><td>rpm</td>
<td><tt class="docutils literal"><span class="pre">cyc/min</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Revolutions_per_minute">revolution per minute</a></td>
</tr>
<tr class="row-odd"><td colspan="4">—— Temperature ——</td>
</tr>
<tr class="row-even"><td>degR</td>
<td><tt class="docutils literal"><span class="pre">K*5/9</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Rankine_scale">degree Rankine</a></td>
</tr>
<tr class="row-odd"><td>degF</td>
<td><tt class="docutils literal"><span class="pre">(lambda</span> <span class="pre">n:</span> <span class="pre">(n</span> <span class="pre">+</span> <span class="pre">459.67)*degR,</span> <span class="pre">lambda</span> <span class="pre">T:</span> <span class="pre">T/degR</span> <span class="pre">-</span> <span class="pre">459.67)</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Fahrenheit">degree Fahrenheit</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Dimensionless ——</td>
</tr>
<tr class="row-odd"><td>pct</td>
<td><tt class="docutils literal"><span class="pre">0.01</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Percent">percent</a> (%)</td>
</tr>
<tr class="row-even"><td>ppm</td>
<td><tt class="docutils literal"><span class="pre">1e-6</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Parts_per_million">parts per million</a></td>
</tr>
<tr class="row-odd"><td>ppb</td>
<td><tt class="docutils literal"><span class="pre">1e-9</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Parts_per_billion">parts per billion</a></td>
</tr>
<tr class="row-even"><td>ppt</td>
<td><tt class="docutils literal"><span class="pre">1e-12</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Parts_per_trillion">parts per trillion</a></td>
</tr>
<tr class="row-odd"><td>ppq</td>
<td><tt class="docutils literal"><span class="pre">1e-15</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Parts_per_quadrillion">parts per quadrillion</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Remaining <a class="reference external" href="http://en.wikipedia.org/wiki/Centimetre%E2%80%93gram%E2%80%93second_system_of_units#Electromagnetic_units_.28EMU.29">EMU</a> and <a class="reference external" href="http://en.wikipedia.org/wiki/Gaussian_units">Gaussian</a> units (besides those in <a class="reference internal" href="#bipm2006" id="id4">[BIPM2006]</a>) ——</td>
</tr>
<tr class="row-odd"><td>abC</td>
<td><tt class="docutils literal"><span class="pre">abA*s</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Abcoulomb">abcoloumb</a></td>
</tr>
<tr class="row-even"><td>abV</td>
<td><tt class="docutils literal"><span class="pre">erg/abC</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Abvolt">abvolt</a></td>
</tr>
<tr class="row-odd"><td>abF</td>
<td><tt class="docutils literal"><span class="pre">abC/abV</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Abfarad#CGS_units">abfarad</a></td>
</tr>
<tr class="row-even"><td>abohm</td>
<td><tt class="docutils literal"><span class="pre">s/abF</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Abohm">abohm</a></td>
</tr>
<tr class="row-odd"><td>abH</td>
<td><tt class="docutils literal"><span class="pre">abohm*s</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Abhenry">abhenry</a></td>
</tr>
<tr class="row-even"><td colspan="4">—— Remaining <a class="reference external" href="http://en.wikipedia.org/wiki/Electrostatic_units">ESU</a> units (besides those in <a class="reference internal" href="#bipm2006" id="id5">[BIPM2006]</a>) ——</td>
</tr>
<tr class="row-odd"><td>statC</td>
<td><tt class="docutils literal"><span class="pre">sqrt(g*cc)/s</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Statcoulomb">statcoulomb</a> (aka franklin (Fr) or electrostatic unit (esu) of charge)</td>
</tr>
<tr class="row-even"><td>statA</td>
<td><tt class="docutils literal"><span class="pre">statC/s</span></tt></td>
<td><em>True</em></td>
<td>statampere</td>
</tr>
<tr class="row-odd"><td>statV</td>
<td><tt class="docutils literal"><span class="pre">erg/statC</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Statvolt">statvolt</a></td>
</tr>
<tr class="row-even"><td>statWb</td>
<td><tt class="docutils literal"><span class="pre">statV/Hz</span></tt></td>
<td><em>True</em></td>
<td>statweber</td>
</tr>
<tr class="row-odd"><td>statT</td>
<td><tt class="docutils literal"><span class="pre">statWb/cm**2</span></tt></td>
<td><em>True</em></td>
<td>stattesla</td>
</tr>
<tr class="row-even"><td colspan="4">—— Constants related to <a class="reference external" href="http://en.wikipedia.org/wiki/Amp%C3%A8re's_force_law">Ampere’s force law</a> ——</td>
</tr>
<tr class="row-odd"><td><em>k_A</em></td>
<td><tt class="docutils literal"><span class="pre">dyn/abA**2</span></tt></td>
<td> </td>
<td>Ampere constant (aka magnetic force constant)</td>
</tr>
<tr class="row-even"><td><em>k_C</em></td>
<td><tt class="docutils literal"><span class="pre">k_A*c**2</span></tt></td>
<td> </td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Coulomb_constant">Coulomb constant</a> (aka electric force constant or electrostatic constant)</td>
</tr>
<tr class="row-odd"><td><em>epsilon_0</em></td>
<td><tt class="docutils literal"><span class="pre">1/(k_C*(4*pi</span> <span class="pre">if</span> <span class="pre">rational</span> <span class="pre">else</span> <span class="pre">1))</span></tt></td>
<td> </td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Vacuum_permittivity">electric constant</a> (aka vacuum permittivity or permittivity of free space)</td>
</tr>
<tr class="row-even"><td><em>mu_0</em></td>
<td><tt class="docutils literal"><span class="pre">1/(epsilon_0*cyc**2*c**2)</span></tt></td>
<td> </td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Vacuum_permeability">magnetic constant</a> (aka vacuum permeability or permeability of free space)</td>
</tr>
<tr class="row-odd"><td><em>Z_0</em></td>
<td><tt class="docutils literal"><span class="pre">2*k_A*c/rad</span></tt></td>
<td> </td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Impedance_of_free_space">characteristic impedance of vacuum</a></td>
</tr>
<tr class="row-even"><td><em>alpha</em></td>
<td><tt class="docutils literal"><span class="pre">k_A*c/R_K</span></tt></td>
<td> </td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Fine_structure_constant">fine structure constant</a></td>
</tr>
<tr class="row-odd"><td><em>a_0</em></td>
<td><tt class="docutils literal"><span class="pre">alpha/(2*R_inf)</span></tt></td>
<td> </td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Bohr_radius">Bohr radius</a> (aka Hartree length)</td>
</tr>
<tr class="row-even"><td><em>lambda_e</em></td>
<td><tt class="docutils literal"><span class="pre">alpha*a_0/sr</span></tt></td>
<td> </td>
<td>electron <a class="reference external" href="https://en.wikipedia.org/wiki/Compton_wavelength">Compton wavelength</a></td>
</tr>
<tr class="row-odd"><td><em>kappa</em></td>
<td><tt class="docutils literal"><span class="pre">lambda_e*c/2</span></tt></td>
<td> </td>
<td>quantum of circulation</td>
</tr>
<tr class="row-even"><td><em>m_e</em></td>
<td><tt class="docutils literal"><span class="pre">Phi_0/kappa</span></tt></td>
<td> </td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Electron_mass">electron rest mass per elementary charge</a></td>
</tr>
<tr class="row-odd"><td><em>r_e</em></td>
<td><tt class="docutils literal"><span class="pre">k_A/m_e</span></tt></td>
<td> </td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Classical_electron_radius">classical electron radius per elementary charge</a> (aka Lorentz radius or Thomson scattering length)</td>
</tr>
<tr class="row-even"><td><em>mu_B</em></td>
<td><tt class="docutils literal"><span class="pre">kappa*e*sp/2</span></tt></td>
<td> </td>
<td><a class="reference external" href="https://en.wikipedia.org/wiki/Bohr_magneton">Bohr magnetron</a></td>
</tr>
<tr class="row-odd"><td><em>M_e</em></td>
<td><tt class="docutils literal"><span class="pre">m_e*e</span></tt></td>
<td> </td>
<td>mass of an electron (aka Hartree mass or natural unit of mass)</td>
</tr>
<tr class="row-even"><td><em>t_H</em></td>
<td><tt class="docutils literal"><span class="pre">a_0*sqrt(M_e/Ha)</span></tt></td>
<td> </td>
<td>Hartree time</td>
</tr>
<tr class="row-odd"><td><em>l_n</em></td>
<td><tt class="docutils literal"><span class="pre">h*rad/(M_e*c)</span></tt></td>
<td> </td>
<td>natural unit of length</td>
</tr>
<tr class="row-even"><td><em>t_n</em></td>
<td><tt class="docutils literal"><span class="pre">l_n/c</span></tt></td>
<td> </td>
<td>natural unit of time</td>
</tr>
<tr class="row-odd"><td colspan="4">—— Misc. units and constants ——</td>
</tr>
<tr class="row-even"><td>AT</td>
<td><tt class="docutils literal"><span class="pre">A*cyc</span></tt></td>
<td><em>False</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Ampere-turn">ampere-turn</a></td>
</tr>
<tr class="row-odd"><td>D</td>
<td><tt class="docutils literal"><span class="pre">cdyn/atm</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Darcy_(unit)">darcy</a></td>
</tr>
<tr class="row-even"><td>M</td>
<td><tt class="docutils literal"><span class="pre">mol/L</span></tt></td>
<td><em>True</em></td>
<td><a class="reference external" href="http://en.wikipedia.org/wiki/Molar_concentration#Units">molar</a></td>
</tr>
</tbody>
</table>
<p>Since angle is explicit, it appears in several of the constants and units:</p>
<ul class="simple">
<li><em>mu_0</em> ≈ 4 <em>pi</em> 10<sup>-7</sup> H m<sup>-1</sup> cyc<sup>-2</sup>
<a class="footnote-reference" href="#f1" id="id6">[1]</a></li>
<li><em>Z_0</em> ≈ 376.730 ohm cyc<sup>-1</sup> <a class="footnote-reference" href="#f1" id="id7">[1]</a></li>
<li><em>kappa</em> ≈ 3.637×10<sup>-4</sup> m<sup>2</sup> s<sup>-1</sup> cyc<sup>-1</sup>
<a class="footnote-reference" href="#f1" id="id8">[1]</a></li>
<li>rpm = cyc min<sup>-1</sup></li>
<li>sp = 4 <em>pi</em> sr</li>
<li>AT = A cyc</li>
<li>Oe = 5 kA rad m<sup>-1</sup>
= 0.25 kA cyc <em>pi</em><sup>-1</sup> m<sup>-1</sup>
= 250 AT <em>pi</em><sup>-1</sup> m<sup>-1</sup></li>
<li>Mx = erg abA<sup>-1</sup> cyc<sup>-1</sup> = 10<sup>-8</sup> V Hz<sup>-1</sup> <a class="footnote-reference" href="#f2" id="id9">[2]</a></li>
<li>Gs = Mx cm<sup>2</sup> = 10<sup>-4</sup> Wb m<sup>-2</sup>
= 10<sup>-4</sup> V Hz<sup>-1</sup> m<sup>-2</sup> <a class="footnote-reference" href="#f2" id="id10">[2]</a></li>
<li>statWb = statV Hz<sup>-1</sup> <a class="footnote-reference" href="#f2" id="id11">[2]</a></li>
<li>statT = statWb cm<sup>2</sup>
= statV Hz<sup>-1</sup> cm<sup>2</sup> <a class="footnote-reference" href="#f2" id="id12">[2]</a></li>
</ul>
<p>Note that torque can be expressed in lbf ft rad<sup>-1</sup> but not
lbf ft.</p>
<p class="rubric">References</p>
<table class="docutils citation" frame="void" id="bipm2006" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[BIPM2006]</td><td><em>(<a class="fn-backref" href="#id1">1</a>, <a class="fn-backref" href="#id2">2</a>, <a class="fn-backref" href="#id4">3</a>, <a class="fn-backref" href="#id5">4</a>)</em> International Bureau of Weights and Measures (BIPM),
“<a class="reference external" href="http://www.bipm.org/utils/common/pdf/si_brochure_8_en.pdf">The International System of Units (SI)</a>,”
8th ed., 2006.</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="it1956" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id3">[IT1956]</a></td><td><em>Fifth International Conference on the Properties of Steam</em>,
London, July 1956.</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="nist2014" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id13">[NIST2014]</a></td><td>National Institute of Science and Technology, “Fundamental
Physical Constants: Complete Listing,”
<a class="reference external" href="http://physics.nist.gov/constants">http://physics.nist.gov/constants</a>, accessed 2014.</td></tr>
</tbody>
</table>
<p class="rubric">Footnotes</p>
<table class="docutils footnote" frame="void" id="f1" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[1]</td><td><em>(<a class="fn-backref" href="#id6">1</a>, <a class="fn-backref" href="#id7">2</a>, <a class="fn-backref" href="#id8">3</a>)</em> Traditionally, angle is dropped <a class="reference internal" href="#nist2014" id="id13">[NIST2014]</a>.</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="f2" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[2]</td><td><em>(<a class="fn-backref" href="#id9">1</a>, <a class="fn-backref" href="#id10">2</a>, <a class="fn-backref" href="#id11">3</a>, <a class="fn-backref" href="#id12">4</a>)</em> ... where Hz has dimension of angle per time.</td></tr>
</tbody>
</table>
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