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""" Module with physical constants for use with ipython, profile
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"physics".
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Definition of Fundamental Physical Constants, CODATA Recommended Values
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Source, Peter J. Mohr and Barry N. Taylor,
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CODATA Recommended Values of the Fundamental
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Physical Constants, 1998
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Website: physics.nist.gov/constants
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"""
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# License: BSD-like
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# Copyright: Gael Varoquaux (gael.varoquaux@normalesup.org)
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# inspired by maxima's physconst.mac by Cliff Yapp
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#from math import * # math MUST be imported BEFORE PhysicalQInteractive
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from IPython.Extensions.PhysicalQInteractive import PhysicalQuantityInteractive
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# Math constants:
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# Pi mathematical constants
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pi = 3.141592653589793238462643383279502884197169399375105820974944592
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# Universal Constants
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#-------------------------------------------------------------------------
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c = PhysicalQuantityInteractive(299792458 , 'm/s')
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c.__doc__ = """speed of light in vacuum"""
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c.__doc__ = "speed of light in vacuum"
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u_0 = PhysicalQuantityInteractive(4*pi*1E-7 , 'N/(A**2)')
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u_0.__doc__ = """magnetic constant"""
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mu_0 = PhysicalQuantityInteractive(4*pi*1E-7 , 'N/(A**2)')
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epsilon_0 = PhysicalQuantityInteractive(8.854187817E-12 , 'F/m')
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epsilon_0.__doc__ = """electric constant """
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Z_0 = PhysicalQuantityInteractive(376.730313461 , 'ohm')
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Z_0.__doc__ = """characteristic impedance of vacuum """
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G = PhysicalQuantityInteractive(6.673E-11 , 'm**3/(kg*s**2)')
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G.__doc__ = """Newtonian constant of gravitation """
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h = PhysicalQuantityInteractive(6.62606876E-34 , 'J*s')
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h.__doc__ = """Planck constant """
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h_eV = PhysicalQuantityInteractive(4.13566727E-15 , 'eV*s')
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h_eV.__doc__ = """Planck constant in eVs """
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h_bar = PhysicalQuantityInteractive(1.054571596E-34 , 'J*s')
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h_bar.__doc__ = """Hbar"""
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h_bar_eV = PhysicalQuantityInteractive(6.58211889E-16 , 'eV*s')
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h_bar_eV.__doc__ = """Hbar in eV"""
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P_m = PhysicalQuantityInteractive(2.1767E-8 , 'kg')
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P_m.__doc__ = """Planck mass"""
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P_l = PhysicalQuantityInteractive(1.6160E-35 , 'm')
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P_l.__doc__ = """Planck length """
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P_t = PhysicalQuantityInteractive(5.3906E-44 , 's')
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P_t.__doc__ = """Planck time """
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# Electromagnetic Constants
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#------------------------------------------------------------------------
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_e = PhysicalQuantityInteractive(1.602176462E-19 , 'C')
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_e.__doc__ = """elementary charge"""
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q = _e
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capitalphi_0 = PhysicalQuantityInteractive(2.067833636E-15 , 'Wb')
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capitalphi_0.__doc__ = """magnetic flux quantum """
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mfq_0 = PhysicalQuantityInteractive(2.067833636E-15 , 'Wb')
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G_0 = PhysicalQuantityInteractive(7.748091696E-5 , 'S')
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G_0.__doc__ = """conductance quantum """
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K_J = PhysicalQuantityInteractive(483597.898E9 , 'Hz/V')
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K_J.__doc__ = """Josephson constant"""
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R_K = PhysicalQuantityInteractive(25812.807572 , 'ohm')
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R_K.__doc__ = """von Klitzing constant"""
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u_B = PhysicalQuantityInteractive(927.400899E-26 , 'J/T')
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u_B.__doc__ = """Bohr magneton"""
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ueVT_B = PhysicalQuantityInteractive(5.788381749E-5 , 'eV/T')
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ueVT_B.__doc__ = """Bohr magneton in eV T-1"""
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u_N = PhysicalQuantityInteractive(5.05078317E-27 , 'J/T')
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u_N.__doc__ = """nuclear magneton """
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ueVT_N = PhysicalQuantityInteractive(3.152451238E-8 , 'eV/T')
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ueVT_N.__doc__ = """nuclear magneton in eV T-1 """
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# Atomic and Nuclear Constants
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# General
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#-------------------------------------------------------------------------
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# fine-structure constant
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alpha = 7.297352533E-3
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Ry = PhysicalQuantityInteractive(10973731.568549 , '1/m')
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Ry.__doc__ = """Rydberg constant """
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Ry_INF = PhysicalQuantityInteractive(10973731.568549 , '1/m')
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a_0 = PhysicalQuantityInteractive(0.5291772083E-10 , 'm')
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a_0.__doc__ = """Bohr radius """
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E_h = PhysicalQuantityInteractive(4.35974381E-18 , 'J')
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E_h.__doc__ = """Hartree energy """
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Eev_h = PhysicalQuantityInteractive(27.2113834 , 'eV')
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Eev_h.__doc__ = """Hartree energy in eV """
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qcir2 = PhysicalQuantityInteractive(3.636947516E-4 , 'm**2/s')
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qcir2.__doc__ = """quantum of circulation h/(2me) """
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qcir = PhysicalQuantityInteractive(7.273895032E-4 , 'm**2/s')
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qcir.__doc__ = """quantum of circulation h/(me) """
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# Electroweak
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#-------------------------------------------------------------------------
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Fcc = PhysicalQuantityInteractive(1.16639E-5 , '1/GeV**2')
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Fcc.__doc__ = """Fermi coupling constant """
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# weak mixing angled W (on-shell scheme)
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wma_W = 0.2224
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# Electron, e-
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#-------------------------------------------------------------------------
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m_e = PhysicalQuantityInteractive(9.10938188E-31 , 'kg')
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m_e.__doc__ = """electron mass """
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m_e_u = PhysicalQuantityInteractive(5.485799110E-4 , 'amu')
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m_e_u.__doc__ = """electron mass (electron relative atomic mass times amu)"""
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me_J = PhysicalQuantityInteractive(8.18710414E-14 , 'J')
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me_J.__doc__ = """electron mass - energy equivalent """
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me_MeV = PhysicalQuantityInteractive(0.510998902 , 'MeV')
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me_MeV.__doc__ = """electron mass - energy equivalent in MeV"""
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# electron-muon mass ratio
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memu = 4.83633210E-3
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# electron-tau mass ratio
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metau = 2.87555E-4
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# electron-proton mass ratio
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memp = 5.446170232E-4
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# electron-neutron mass ratio
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memn = 5.438673462E-4
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# electron-deuteron mass ratio
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memd = 2.7244371170E-4
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# electron to alpha particle mass ratio
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memalpha = 1.3709335611E-4
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echargeemass = PhysicalQuantityInteractive(-1.758820174E11 , 'C/kg')
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echargeemass.__doc__ = """electron charge to mass quotient """
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Molar_e = PhysicalQuantityInteractive(5.485799110E-7 , 'kg/mol')
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Molar_e.__doc__ = """electron molar mass """
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lambdaC = PhysicalQuantityInteractive(2.426310215E-12 , 'm')
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lambdaC.__doc__ = """Compton wavelength """
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r_e = PhysicalQuantityInteractive(2.817940285E-15 , 'm')
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r_e.__doc__ = """classical electron radius """
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sigma_e = PhysicalQuantityInteractive(0.665245854E-28 , 'm**2')
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sigma_e.__doc__ = """Thomson cross section """
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u_e = PhysicalQuantityInteractive(-928.476362E-26 , 'J/T')
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u_e.__doc__ = """electron magnetic moment """
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# electron magnetic moment to Bohr magneton ratio
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ueuB = -1.0011596521869
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# electron magnetic moment to nuclear magneton ratio
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ueuN = -1838.2819660
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# electron magnetic moment anomaly |ue|/uB - 1
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a_e = 1.1596521869E-3
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# electron g-factor
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g_e = -2.0023193043737
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# electron-muon magnetic moment ratio
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ueuu = 206.7669720
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# electron-proton magnetic moment ratio
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ueup = -658.2106875
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# electron to shielded proton magnetic moment ratio (H2O, sphere, 25 C)
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ueusp = -658.2275954
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# electron-neutron magnetic moment ratio
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ueun = 960.92050
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# electron-deuteron magnetic moment ratio
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ueud = -2143.923498
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# electron to shielded helione magnetic moment ratio (gas, sphere, 25 C)
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ueush = 864.058255
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gamma_e = PhysicalQuantityInteractive(1.760859794E11 , '1/(s*T)')
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gamma_e.__doc__ = """electron gyromagnetic ratio """
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# Muon, u-
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#-------------------------------------------------------------------------
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m_u = PhysicalQuantityInteractive(1.88353109E-28 , 'kg')
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m_u.__doc__ = """muon mass """
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mu_u = PhysicalQuantityInteractive(0.1134289168 , 'amu')
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mu_u.__doc__ = """muon mass in muon relative atomic mass times amu """
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muc2_J = PhysicalQuantityInteractive(1.69283332E-11 , 'J')
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muc2_J.__doc__ = """energy equivalent """
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muc2_MeV = PhysicalQuantityInteractive(105.6583568 , 'MeV')
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muc2_MeV.__doc__ = """energy equivalent in MeV """
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# muon-electron mass ratio
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mume = 206.7682657
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# muon-tau mass ratio
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mum = 5.94572E-2
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# muon-proton mass ratio
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mump = 0.1126095173
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# muon-neutron mass ratio
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mumn = 0.1124545079
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Molar_u = PhysicalQuantityInteractive(0.1134289168E-3 , 'kg/mol')
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Molar_u.__doc__ = """muon molar mass """
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lambda_C_u = PhysicalQuantityInteractive(11.73444197E-15 , 'm')
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lambda_C_u.__doc__ = """muon Compton wavelength """
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uu = PhysicalQuantityInteractive(-4.49044813E-26 , 'J/T')
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uu.__doc__ = """muon magnetic moment """
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# ratio of muon magnetic moment to Bohr magneton ratio
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uuuB = -4.84197085E-3
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# ratio of muon magnetic moment to nuclear magneton ratio
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uuuN = -8.89059770
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# muon magnetic moment anomaly |uu|/(e /2mu) - 1
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a_u = 1.16591602E-3
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# muon g-factor -2(1 + au)
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g_u = -2.0023318320
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# muon-proton magnetic moment ratio
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uuup = -3.18334539
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# Tau, tau-
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#-------------------------------------------------------------------------
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m_tau = PhysicalQuantityInteractive(3.16788E-27 , 'kg')
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m_tau.__doc__ = """tau mass """
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mu_tau = PhysicalQuantityInteractive(1.90774 , 'amu')
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mu_tau.__doc__ = """tau mass (tau relative atomic mass times amu) """
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mtauc2_J = PhysicalQuantityInteractive(2.84715E-10 , 'J')
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mtauc2_J.__doc__ = """tau mass energy equivalent """
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mtauc2_MeV = PhysicalQuantityInteractive(1777.05 , 'MeV')
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mtauc2_MeV.__doc__ = """tau mass energy equivalent in MeV """
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# tau-electron mass ratio
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mtaume = 3477.60
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# tau-muon mass ratio
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mtaumu = 16.8188
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# tau-proton mass ratio
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mtaump = 1.89396
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# tau-neutron mass ratio
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mtaumn = 1.89135
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Molar_tau = PhysicalQuantityInteractive(1.90774E-3 , 'kg/mol')
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Molar_tau.__doc__ = """tau molar mass """
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lambda_C_tau = PhysicalQuantityInteractive(0.69770E-15 , 'm')
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lambda_C_tau.__doc__ = """tau Compton wavelength """
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# Proton, p
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#-------------------------------------------------------------------------
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m_p = PhysicalQuantityInteractive(1.67262158E-27 , 'kg')
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m_p.__doc__ = """proton mass """
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mu_p = PhysicalQuantityInteractive(1.00727646688 , 'amu')
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mu_p.__doc__ = """proton mass (proton relative atomic mass times amu) """
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mpc2_J = PhysicalQuantityInteractive(1.50327731E-10 , 'J')
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mpc2_J.__doc__ = """energy equivalent """
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mpc2_MeV = PhysicalQuantityInteractive(938.271998 , 'MeV')
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mpc2_MeV.__doc__ = """energy equivalent in MeV """
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# proton-electron mass ratio
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mpme = 1836.1526675
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# proton-muon mass ratio
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mpmu = 8.88024408
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# proton-tau mass ratio
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mpmtau = 0.527994
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# proton-neutron mass ratio
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mpmn = 0.99862347855
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emp = PhysicalQuantityInteractive(9.57883408E7 , 'C/kg')
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emp.__doc__ = """proton charge to mass quotient """
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Molar_p = PhysicalQuantityInteractive(1.00727646688E-3 , 'kg/mol')
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Molar_p.__doc__ = """proton molar mass """
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lambda_C_p = PhysicalQuantityInteractive(1.321409847E-15 , 'm')
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lambda_C_p.__doc__ = """proton Compton wavelength h/mpc """
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up = PhysicalQuantityInteractive(1.410606633E-26 , 'J/T')
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up.__doc__ = """proton magnetic moment """
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# proton magnetic moment to Bohr magneton ratio
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upuB = 1.521032203E-3
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# proton magnetic moment to nuclear magneton ratio
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upuN = 2.792847337
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# proton g-factor 2up/uN
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g_p = 5.585694675
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# proton-neutron magnetic moment ratio
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upun = -1.45989805
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usp = PhysicalQuantityInteractive(1.410570399E-26 , 'J/T')
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usp.__doc__ = """shielded proton magnetic moment (H2O, sphere, 25 C)"""
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# shielded proton magnetic moment to Bohr magneton ratio
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uspuB = 1.520993132E-3
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# shielded proton magnetic moment to nuclear magneton ratio
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uspuN = 2.792775597
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# proton magnetic shielding correction 1 - u p/up (H2O, sphere, 25 C)
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spc = 25.687E-6
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gamma_p = PhysicalQuantityInteractive(2.67522212E8 , '1/(s*T)')
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gamma_p.__doc__ = """proton gyromagnetic ratio """
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gamma_sp = PhysicalQuantityInteractive(2.67515341E8 , '1/(s*T)')
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gamma_sp.__doc__ = """shielded proton gyromagnetic ratio (H2O, sphere, 25 C)"""
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# Neutron, n
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#-------------------------------------------------------------------------
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m_n = PhysicalQuantityInteractive(1.67492716E-27 , 'kg')
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m_n.__doc__ = """neutron mass """
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mu_n = PhysicalQuantityInteractive(1.00866491578 , 'amu')
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mu_n.__doc__ = """neutron mass (neutron relative atomic mass times amu) """
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mnc2_J = PhysicalQuantityInteractive(1.50534946E-10 , 'J')
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mnc2_J.__doc__ = """neutron mass energy equivalent """
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mnc2_MeV = PhysicalQuantityInteractive(939.565330 , 'MeV')
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mnc2_MeV.__doc__ = """neutron mass energy equivalent in MeV """
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# neutron-electron mass ratio
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mnme = 1838.6836550
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# neutron-muon mass ratio
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mnmu = 8.89248478
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# neutron-tau mass ratio
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mnm = 0.528722
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# neutron-proton mass ratio
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mnmp = 1.00137841887
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Molar_n = PhysicalQuantityInteractive(1.00866491578E-3 , 'kg/mol')
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Molar_n.__doc__ = """neutron molar mass """
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lambda_C_n = PhysicalQuantityInteractive(1.319590898E-15 , 'm')
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lambda_C_n.__doc__ = """neutron Compton wavelength"""
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un = PhysicalQuantityInteractive(-0.96623640E-26 , 'J/T')
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un.__doc__ = """neutron magnetic moment """
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# neutron magnetic moment to Bohr magneton ratio
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unuB = -1.04187563E-3
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# neutron magnetic moment to nuclear magneton ratio
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unuN = -1.91304272
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# neutron g-factor
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g_n = -3.82608545
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# neutron-electron magnetic moment ratio
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unue = 1.04066882E-3
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# neutron-proton magnetic moment ratio
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unup = -0.68497934
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# neutron to shielded proton magnetic moment ratio (H2O, sphere, 25 C)
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unusp = -0.68499694
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gamma_n = PhysicalQuantityInteractive(1.83247188E8 , '1/(s*T)')
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gamma_n.__doc__ = """neutron gyromagnetic ratio """
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# Deuteron, d
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#-------------------------------------------------------------------------
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m_d = PhysicalQuantityInteractive(3.34358309E-27 , 'kg')
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m_d.__doc__ = """deuteron mass """
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mu_d = PhysicalQuantityInteractive(2.01355321271 , 'amu')
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mu_d.__doc__ = """deuteron mass (deuteron relative atomic mass times amu) """
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mdc2_J = PhysicalQuantityInteractive(3.00506262E-10 , 'J')
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mdc2_J.__doc__ = """deuteron mass energy equivalent """
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mdc2_eV = PhysicalQuantityInteractive(1875.612762 , 'MeV')
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mdc2_eV.__doc__ = """deuteron mass energy equivalent in MeV """
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# deuteron-electron mass ratio
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mdme = 3670.4829550
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# deuteron-proton mass ratio
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mdmp = 1.99900750083
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Molar_d = PhysicalQuantityInteractive(2.01355321271E-3 , 'kg/mol')
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Molar_d.__doc__ = """deuteron molar mass """
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ud = PhysicalQuantityInteractive(0.433073457E-26 , 'J/T')
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ud.__doc__ = """deuteron magnetic moment """
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# deuteron magnetic moment to Bohr magneton ratio
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uduB = 0.4669754556E-3
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# deuteron magnetic moment to nuclear magneton ratio
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uduN = 0.8574382284
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# deuteron-electron magnetic moment ratio
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udue = -4.664345537E-4
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# deuteron-proton magnetic moment ratio
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udup = 0.3070122083
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# deuteron-neutron magnetic moment ratio
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udun = -0.44820652
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# Helion, h
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#-------------------------------------------------------------------------
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m_h = PhysicalQuantityInteractive(5.00641174E-27 , 'kg')
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m_h.__doc__ = """helion mass """
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mu_h = PhysicalQuantityInteractive(3.01493223469 , 'amu')
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mu_h.__doc__ = """helion mass (helion relative atomic mass times amu) """
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mhc2_J = PhysicalQuantityInteractive(4.49953848E-10 , 'J')
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mhc2_J.__doc__ = """helion mass energy equivalent """
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mhc2_MeV = PhysicalQuantityInteractive(2808.39132 , 'MeV')
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mhc2_MeV.__doc__ = """helion mass energy equivalent in MeV """
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# helion-electron mass ratio
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mhme = 5495.885238
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# helion-proton mass ratio
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mhmp = 2.99315265850
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Molar_h = PhysicalQuantityInteractive(3.01493223469E-3 , 'kg/mol')
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Molar_h.__doc__ = """helion molar mass """
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ush = PhysicalQuantityInteractive(-1.074552967E-26 , 'J/T')
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ush.__doc__ = """shielded helion magnetic moment (gas, sphere, 25 C)"""
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# shielded helion magnetic moment to Bohr magneton ratio
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ushuB = -1.158671474E-3
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# shielded helion magnetic moment to nuclear magneton ratio
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ushuN = -2.127497718
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# shielded helion to proton magnetic moment ratio (gas, sphere, 25 C)
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ushup = -0.761766563
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# shielded helion to shielded proton magnetic moment ratio (gas/H2O, spheres, 25 C)
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ushusp = -0.7617861313
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gamma_h = PhysicalQuantityInteractive(2.037894764E8 , '1/(s*T)')
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gamma_h.__doc__ = """shielded helion gyromagnetic (gas, sphere, 25 C) """
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# Alpha particle,
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#-------------------------------------------------------------------------
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m_alpha = PhysicalQuantityInteractive(6.64465598E-27 , 'kg')
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m_alpha.__doc__ = """alpha particle mass """
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mu_alpha = PhysicalQuantityInteractive(4.0015061747 , 'amu')
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mu_alpha.__doc__ = """alpha particle mass (alpha particle relative atomic mass times amu) """
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malphac2_J = PhysicalQuantityInteractive(5.97191897E-10 , 'J')
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malphac2_J.__doc__ = """alpha particle mass energy equivalent """
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malphac2_MeV = PhysicalQuantityInteractive(3727.37904 , 'MeV')
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malphac2_MeV.__doc__ = """alpha particle mass energy equivalent in MeV """
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# alpha particle to electron mass ratio
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malphame = 7294.299508
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# alpha particle to proton mass ratio
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malphamp = 3.9725996846
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Molar_alpha = PhysicalQuantityInteractive(4.0015061747E-3 , 'kg/mol')
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Molar_alpha.__doc__ = """alpha particle molar mass"""
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# PHYSICO-CHEMICAL
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#-------------------------------------------------------------------------
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N_A = PhysicalQuantityInteractive(6.02214199E23 , '1/mol')
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N_A.__doc__ = """Avogadro constant """
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L = PhysicalQuantityInteractive(6.02214199E23 , '1/mol')
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m_u = PhysicalQuantityInteractive(1.66053873E-27 , 'kg')
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m_u.__doc__ = """atomic mass constant mu = 112m(12C) = 1 u = 10E-3 kg mol-1/NA"""
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# atomic mass constant mu = 112m(12C) = 1 u = 10E-3 kg mol-1/NA
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amu = m_u
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muc2_J = PhysicalQuantityInteractive(1.49241778E-10 , 'J')
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muc2_J.__doc__ = """energy equivalent of the atomic mass constant"""
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muc2_MeV = PhysicalQuantityInteractive(931.494013 , 'MeV')
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muc2_MeV.__doc__ = """energy equivalent of the atomic mass constant in MeV """
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F = PhysicalQuantityInteractive(96485.3415 , 'C/mol')
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F.__doc__ = """Faraday constant"""
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N_Ah = PhysicalQuantityInteractive(3.990312689E-10 , 'J*s/mol')
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N_Ah.__doc__ = """molar Planck constant """
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R = PhysicalQuantityInteractive(8.314472 , 'J/(mol*K)')
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R.__doc__ = """molar gas constant """
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k_J = PhysicalQuantityInteractive(1.3806503E-23 , 'J/K')
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k_J.__doc__ = """Boltzmann constant """
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k_eV = PhysicalQuantityInteractive(8.617342E-5 , 'eV/K')
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|
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k_eV.__doc__ = """Boltzmann constant in eV """
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n_0 = PhysicalQuantityInteractive(2.6867775E25 , '1/m**3')
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n_0.__doc__ = """Loschmidt constant NA/Vm """
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Vm_1 = PhysicalQuantityInteractive(22.413996E-3 , 'm**3/mol')
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Vm_1.__doc__ = """molar volume of ideal gas RT/p T = 273.15 K, p = 101.325 kPa """
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Vm_2 = PhysicalQuantityInteractive(22.710981E-3 , 'm**3/mol')
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Vm_2.__doc__ = """molar volume of ideal gas RT/p T = 273.15 K, p = 100 kPa """
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|
# Sackur-Tetrode constant (absolute entropy constant) 52 + ln_(2 mukT1/h2)3/2kT1/p0
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|
|
# T1 = 1 K, p0 = 100 kPa
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|
|
S_0R_1 = -1.1517048
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|
|
# T1 = 1 K, p0 = 101.325 kPa
|
|
|
S_0R_2 = -1.1648678
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|
sigma = PhysicalQuantityInteractive(5.670400E-8 , 'W/(m**2*K**4)')
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|
|
sigma.__doc__ = """Stefan-Boltzmann constant """
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|
|
c_1 = PhysicalQuantityInteractive(3.74177107E-16 , 'W*m**2')
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|
|
c_1.__doc__ = """first radiation constant"""
|
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|
|
c_1L = PhysicalQuantityInteractive(1.191042722E-16 , 'W*m**2/sr')
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|
|
c_1L.__doc__ = """first radiation constant for spectral radiance"""
|
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|
c_2 = PhysicalQuantityInteractive(1.4387752E-2 , 'm*K')
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|
|
c_2.__doc__ = """second radiation constant"""
|
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|
|
b = PhysicalQuantityInteractive(2.8977686E-3 , 'm*K')
|
|
|
b.__doc__ = """Wien displacement law constant b = maxT = c2/4.965 114231... """
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