74 lines
4.3 KiB
Text
74 lines
4.3 KiB
Text
# Default Pint constants definition file
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# Based on the International System of Units
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# Language: english
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# Source: https://physics.nist.gov/cuu/Constants/
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# https://physics.nist.gov/PhysRefData/XrayTrans/Html/search.html
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# :copyright: 2013,2019 by Pint Authors, see AUTHORS for more details.
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#### MATHEMATICAL CONSTANTS ####
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# As computed by Maxima with fpprec:50
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pi = 3.1415926535897932384626433832795028841971693993751 = π # pi
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tansec = 4.8481368111333441675396429478852851658848753880815e-6 # tangent of 1 arc-second ~ arc_second/radian
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ln10 = 2.3025850929940456840179914546843642076011014886288 # natural logarithm of 10
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wien_x = 4.9651142317442763036987591313228939440555849867973 # solution to (x-5)*exp(x)+5 = 0 => x = W(5/exp(5))+5
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wien_u = 2.8214393721220788934031913302944851953458817440731 # solution to (u-3)*exp(u)+3 = 0 => u = W(3/exp(3))+3
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eulers_number = 2.71828182845904523536028747135266249775724709369995
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#### DEFINED EXACT CONSTANTS ####
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speed_of_light = 299792458 m/s = c = c_0 # since 1983
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planck_constant = 6.62607015e-34 J s = ℎ # since May 2019
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elementary_charge = 1.602176634e-19 C = e # since May 2019
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avogadro_number = 6.02214076e23 # since May 2019
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boltzmann_constant = 1.380649e-23 J K^-1 = k = k_B # since May 2019
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standard_gravity = 9.80665 m/s^2 = g_0 = g0 = g_n = gravity # since 1901
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standard_atmosphere = 1.01325e5 Pa = atm = atmosphere # since 1954
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conventional_josephson_constant = 4.835979e14 Hz / V = K_J90 # since Jan 1990
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conventional_von_klitzing_constant = 2.5812807e4 ohm = R_K90 # since Jan 1990
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#### DERIVED EXACT CONSTANTS ####
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# Floating-point conversion may introduce inaccuracies
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zeta = c / (cm/s) = ζ
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dirac_constant = ℎ / (2 * π) = ħ = hbar = atomic_unit_of_action = a_u_action
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avogadro_constant = avogadro_number * mol^-1 = N_A
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molar_gas_constant = k * N_A = R
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faraday_constant = e * N_A
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conductance_quantum = 2 * e ** 2 / ℎ = G_0
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magnetic_flux_quantum = ℎ / (2 * e) = Φ_0 = Phi_0
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josephson_constant = 2 * e / ℎ = K_J
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von_klitzing_constant = ℎ / e ** 2 = R_K
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stefan_boltzmann_constant = 2 / 15 * π ** 5 * k ** 4 / (ℎ ** 3 * c ** 2) = σ = sigma
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first_radiation_constant = 2 * π * ℎ * c ** 2 = c_1
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second_radiation_constant = ℎ * c / k = c_2
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wien_wavelength_displacement_law_constant = ℎ * c / (k * wien_x)
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wien_frequency_displacement_law_constant = wien_u * k / ℎ
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#### MEASURED CONSTANTS ####
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# Recommended CODATA-2018 values
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# To some extent, what is measured and what is derived is a bit arbitrary.
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# The choice of measured constants is based on convenience and on available uncertainty.
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# The uncertainty in the last significant digits is given in parentheses as a comment.
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newtonian_constant_of_gravitation = 6.67430e-11 m^3/(kg s^2) = _ = gravitational_constant # (15)
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rydberg_constant = 1.0973731568160e7 * m^-1 = R_∞ = R_inf # (21)
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electron_g_factor = -2.00231930436256 = g_e # (35)
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atomic_mass_constant = 1.66053906660e-27 kg = m_u # (50)
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electron_mass = 9.1093837015e-31 kg = m_e = atomic_unit_of_mass = a_u_mass # (28)
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proton_mass = 1.67262192369e-27 kg = m_p # (51)
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neutron_mass = 1.67492749804e-27 kg = m_n # (95)
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lattice_spacing_of_Si = 1.920155716e-10 m = d_220 # (32)
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K_alpha_Cu_d_220 = 0.80232719 # (22)
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K_alpha_Mo_d_220 = 0.36940604 # (19)
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K_alpha_W_d_220 = 0.108852175 # (98)
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#### DERIVED CONSTANTS ####
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fine_structure_constant = (2 * ℎ * R_inf / (m_e * c)) ** 0.5 = α = alpha
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vacuum_permeability = 2 * α * ℎ / (e ** 2 * c) = µ_0 = mu_0 = mu0 = magnetic_constant
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vacuum_permittivity = e ** 2 / (2 * α * ℎ * c) = ε_0 = epsilon_0 = eps_0 = eps0 = electric_constant
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impedance_of_free_space = 2 * α * ℎ / e ** 2 = Z_0 = characteristic_impedance_of_vacuum
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coulomb_constant = α * hbar * c / e ** 2 = k_C
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classical_electron_radius = α * hbar / (m_e * c) = r_e
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thomson_cross_section = 8 / 3 * π * r_e ** 2 = σ_e = sigma_e
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