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r"""
A module providing some physical units as `Quantity` objects. Note that these
units are not imported by wildcard imports (e.g. `from brian2 import *`), they
have to be imported explicitly. You can use ``import ... as ...`` to import them
with shorter names, e.g.::
from brian2.units.constants import faraday_constant as F
The available constants are:
==================== ================== ======================= ==================================================================
Constant Symbol(s) Brian name Value
==================== ================== ======================= ==================================================================
Avogadro constant :math:`N_A, L` ``avogadro_constant`` :math:`6.022140857\times 10^{23}\,\mathrm{mol}^{-1}`
Boltzmann constant :math:`k` ``boltzmann_constant`` :math:`1.38064852\times 10^{-23}\,\mathrm{J}\,\mathrm{K}^{-1}`
Electric constant :math:`\epsilon_0` ``electric_constant`` :math:`8.854187817\times 10^{-12}\,\mathrm{F}\,\mathrm{m}^{-1}`
Electron mass :math:`m_e` ``electron_mass`` :math:`9.10938356\times 10^{-31}\,\mathrm{kg}`
Elementary charge :math:`e` ``elementary_charge`` :math:`1.6021766208\times 10^{-19}\,\mathrm{C}`
Faraday constant :math:`F` ``faraday_constant`` :math:`96485.33289\,\mathrm{C}\,\mathrm{mol}^{-1}`
Gas constant :math:`R` ``gas_constant`` :math:`8.3144598\,\mathrm{J}\,\mathrm{mol}^{-1}\,\mathrm{K}^{-1}`
Magnetic constant :math:`\mu_0` ``magnetic_constant`` :math:`12.566370614\times 10^{-7}\,\mathrm{N}\,\mathrm{A}^{-2}`
Molar mass constant :math:`M_u` ``molar_mass_constant`` :math:`1\times 10^{-3}\,\mathrm{kg}\,\mathrm{mol}^{-1}`
0°C ``zero_celsius`` :math:`273.15\,\mathrm{K}`
==================== ================== ======================= ==================================================================
"""
import numpy as np
from .allunits import (
amp,
coulomb,
farad,
gram,
joule,
kelvin,
kilogram,
meter,
mole,
newton,
)
from .fundamentalunits import Unit
Unit.automatically_register_units = False
#: Avogadro constant (http://physics.nist.gov/cgi-bin/cuu/Value?na)
avogadro_constant = 6.022140857e23 / mole
#: Boltzmann constant (physics.nist.gov/cgi-bin/cuu/Value?k)
boltzmann_constant = 1.38064852e-23 * joule / kelvin
#: electric constant (http://physics.nist.gov/cgi-bin/cuu/Value?ep0)
electric_constant = 8.854187817e-12 * farad / meter
#: Electron rest mass (physics.nist.gov/cgi-bin/cuu/Value?me)
electron_mass = 9.10938356e-31 * kilogram
#: Elementary charge (physics.nist.gov/cgi-bin/cuu/Value?e)
elementary_charge = 1.6021766208e-19 * coulomb
#: Faraday constant (http://physics.nist.gov/cgi-bin/cuu/Value?f)
faraday_constant = 96485.33289 * coulomb / mole
#: gas constant (http://physics.nist.gov/cgi-bin/cuu/Value?r)
gas_constant = 8.3144598 * joule / mole / kelvin
#: Magnetic constant (http://physics.nist.gov/cgi-bin/cuu/Value?mu0)
magnetic_constant = 4 * np.pi * 1e-7 * newton / amp**2
#: Molar mass constant (http://physics.nist.gov/cgi-bin/cuu/Value?mu)
molar_mass_constant = 1 * gram / mole
#: zero degree Celsius
zero_celsius = 273.15 * kelvin
Unit.automatically_register_units = True
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