Appendix B. Variable List

Bohr Radius

BohrRadius / a_0

ℏ ∕ (c × m_e × α)

Classical Electron Radius

ClassicalElectronRadius / r_e

q_e² ∕ (4c² × m_e × ε₀ × π)

Fermi Coupling Constant

FermiCoupling

0.0000116637870(60) GeV⁻²

Fine-Structure Constant

FineStructure / α / alpha

0.0072973525643(12)

Hartree Energy (constant)

HartreeConstant / Ha_constant

2c × R_∞ × ℎ

Quantum of Circulation

QuantumCirculation

ℎ ∕ (2 m_e)

Quantum of Circulation times 2

QuantumCirculation2

2 QuantumCirculation

Rydberg Constant

rydberg / R_∞

1.0973731568157(12) × 10⁷ m⁻¹

Thomson cross section

ThomsonCrossSection / σ_t / sigma_t

(r_e² (8π)) ∕ 3

W to Z Mass Ratio

w_z_ratio

0.88145(13)

Weak Mixing Angle (sin²θw)

WeakMixingAngle / sin2θ_W / weinberg / sin2_theta_W

1 − w_z_ratio²

Compton Wavelength (electron)

ComptonWavelength / λ_C / lambda_C

ℎ ∕ (c × m_e)

Muon Compton Wavelength

MuonComptonWavelength / λ_Cμ

ℎ ∕ (c × m_μ)

Neutron Compton Wavelength

NeutronComptonWavelength / λ_Cn

ℎ ∕ (c × m_n)

Proton Compton Wavelength

ProtonComptonWavelength / λ_Cp

ℎ ∕ (c × m_p)

Reduced Compton Wavelength (electron)

ComptonWavelength2pi / ƛ_C

ℏ ∕ (c × m_e)

Reduced Muon Compton Wavelength

MuonComptonWavelength2pi / ƛ_Cμ

ℏ ∕ (c × m_μ)

Reduced Neutron Compton Wavelength

NeutronComptonWavelength2pi / ƛ_Cn

ℏ ∕ (c × m_n)

Reduced Proton Compton Wavelength

ProtonComptonWavelength2pi / ƛ_Cp

ℏ ∕ (c × m_p)

Reduced Tau Compton Wavelength

TauComptonWavelength2pi / ƛ_Cτ

ℏ ∕ (c × m_τ)

Tau Compton Wavelength

TauComptonWavelength / λ_Cτ

ℎ ∕ (c × m_τ)

Hertz - Inverse Meter Relationship

Hz_to_m

1 ∕ c

Hertz - Joule Relationship

Hz_to_J

ℎ

Hertz - Kelvin Relationship

Hz_to_K

ℎ ∕ k_B

Hertz - Kilogram Relationship

Hz_to_kg

ℎ ∕ c²

Inverse Meter - Hertz Relationship

m_to_Hz

c

Inverse Meter - Joule Relationship

m_to_J

cℎ

Inverse Meter - Kelvin Relationship

m_to_K

(cℎ) ∕ k_B

Inverse Meter - Kilogram Relationship

m_to_kg

ℎ ∕ c

Joule - Hertz Relationship

J_to_Hz

1 ∕ ℎ

Joule - Inverse Meter Relationship

J_to_m

1 ∕ (cℎ)

Joule - Kelvin Relationship

J_to_K

1 ∕ k_B

Joule - Kilogram Relationship

J_to_kg

1 ∕ c²

Kelvin - Hertz Relationship

K_to_Hz

k_B ∕ ℎ

Kelvin - Inverse Meter Relationship

K_to_m

k_B ∕ (cℎ)

Kelvin - Joule Relationship

K_to_J

k_B

Kelvin - Kilogram Relationship

K_to_kg

k_B ∕ c²

Kilogram - Hertz Relationship

kg_to_Hz

c² ∕ ℎ

Kilogram - Inverse Meter Relationship

kg_to_m

c ∕ ℎ

Kilogram - Joule Relationship

kg_to_J

c²

Kilogram - Kelvin Relationship

kg_to_K

c² ∕ k_B

Bohr Magneton

BohrMagneton / μ_B / µ_B / mu_B

(q_e × ℎ) ∕ (4 m_e × π)

Conductance Quantum

ConductanceQuantum / G_0

(2 q_e²) ∕ ℎ

Coulomb's Constant (Electric Force Constant)

CoulombsConstant / k_e

(c² × μ₀) ∕ (4π)

Elementary Charge

ElementaryCharge / q_e / e_charge

160.2176634 zC

Inverse of Conductance Quantum

InverseConductanceQuantum

ℎ ∕ (2 q_e²)

Josephson Constant

josephson / K_J

(2 q_e) ∕ ℎ

Josephson Constant (conventional value)

JosephsonConventional / K_J90

483.5979 THz ∕ V

Magnetic Flux Quantum

MagneticFluxQuantum / Φ_0 / phi_0

ℎ ∕ (2 q_e)

Nuclear Magneton

NuclearMagneton / μ_N / µ_N / mu_N

(q_e × ℏ) ∕ (2 m_p)

von Klitzing Constant

klitzing / R_K

ℎ ∕ q_e²

von Klitzing Constant (conventional value)

KlitzingConventional / R_K90

25.812807 kΩ

Alpha Particle Mass (in MeV/c^2)

AlphaParticleEV

nounit((10⁻⁶c² × m_α) ∕ eV) × MeV ∕ c²

Bottom Quark Mass (in MeV/c^2)

quark_b

4180(40) MeV ∕ c²

Charm Quark Mass (in MeV/c^2)

quark_c

1270(20) MeV ∕ c²

Down Quark Mass (in MeV/c^2)

quark_d

4.70(50) MeV ∕ c²

Electron Mass (in MeV/c^2)

ElectronEV

nounit((10⁻⁶c² × m_e) ∕ eV) × MeV ∕ c²

Higgs Boson Mass (in MeV/c^2)

HiggsBoson

125110±110 MeV ∕ c²

Muon Mass (in MeV/c^2)

MuonEV

nounit((10⁻⁶c² × m_μ) ∕ eV) × MeV ∕ c²

Neutron Mass (in MeV/c^2)

NeutronEV

nounit((10⁻⁶c² × m_n) ∕ eV) × MeV ∕ c²

Proton Mass (in MeV/c^2)

ProtonEV

nounit((10⁻⁶c² × m_p) ∕ eV) × MeV ∕ c²

Strange Quark Mass (in MeV/c^2)

quark_s

95.0(90) MeV ∕ c²

Tau Mass (in MeV/c^2)

TauEV

nounit((10⁻⁶c² × m_τ) ∕ eV) × MeV ∕ c²

Top Quark Mass (in MeV/c^2)

quark_t

172760±300 MeV ∕ c²

Up Quark Mass (in MeV/c^2)

quark_u

2.20(50) MeV ∕ c²

W Boson Mass (in MeV/c^2)

w_boson

80379(12) MeV ∕ c²

Z Boson Mass (in MeV/c^2)

z_boson

91187.6(21) MeV ∕ c²

Alpha Particle Mass

AlphaParticleMass / m_α / m_alpha

m_u × nounit(AlphaParticle_u)

Deuteron Mass

DeuteronMass

m_u × nounit(deuteron_u)

Electron Mass

ElectronMass / m_e

(2 R_∞ × ℎ) ∕ (cα²)

Helion Mass

HelionMass / m_h

m_u × nounit(helion_u)

Muon Mass

MuonMass / m_μ / m_µ / m_mu

m_u × nounit(muon_u)

Neutron Mass

NeutronMass / m_n

m_u × nounit(neutron_u)

Proton Mass

ProtonMass / m_p

m_u × nounit(proton_u)

Tau Mass

TauMass / m_τ / m_tau

m_u × nounit(tau_u)

Triton Mass

TritonMass

m_u × nounit(triton_u)

Alpha Particle Mass (in u)

alpha_particle_u

4.001506179129(62) u

Deuteron Mass (in u)

deuteron_u

2.013553212544(15) u

Electron Mass (in u)

electron_u

0.0005485799090441(97) u

Helion Mass (in u)

helion_u

3.014932246932(74) u

Muon Mass (in u)

muon_u

0.1134289257(25) u

Neutron Mass (in u)

neutron_u

1.00866491606(40) u

Proton Mass (in u)

proton_u

1.0072764665789(83) u

Tau Mass (in u)

tau_u

1.90754(13) u

Triton Mass (in u)

triton_u

3.01550071597(10) u

Atomic Mass Constant

AtomicMassConstant / m_u

(2 R_∞ × ℎ) ∕ (cα² × nounit(electron_u))

Avogadro Constant

avogadro / N_A

6.02214076 × 10²³ mol⁻¹

Boltzmann Constant

boltzmann / k_B

13.80649 yJ ∕ K

Electronvolt (constant)

ElectronvoltConstant / eV_constant

q_e J ∕ C

Faraday Constant

faraday / ℱ

N_A × q_e

First Radiation Constant

FirstRadiation / c_1

2c²πℎ

First Radiation Constant for Spectral Radiance

FirstRadiationSr / c_1L

c₁ ∕ π

Gas Constant

GasConstant / IdealGas

k_B × N_A

Lattice Parameter of Silicon

LatticeParameterSi

543.1020511(89) pm

Lattice Spacing of Ideal Silicon (220)

LatticeSpacingSi220 / d_220

LatticeParameter_Si ∕ √(8)

Loschmidt Constant (273.15 K, 100 kPa)

Loschmidt100 / n_0100

(2000 ∕ (5463 k_B)) kPa ∕ K

Loschmidt Constant (273.15 K, 101.325 kPa)

LoschmidtAtm / loschmidt / n_0

(4053 ∕ (10926 k_B)) kPa ∕ K

Molar Mass Constant

MolarMass / M_u

(2 N_A × R_∞ × ℎ) ∕ (cα² × nounit(electron_u))

Molar Planck Constant

MolarPlanck

N_A × ℎ

Molar Volume of Ideal Gas (273.15 K, 100 kPa)

IdealGasMolar100 / IdealGasMolar / V_m

(5463 ∕ (2 × 10⁶)) × GasConstant K ∕ Pa

Molar Volume of Ideal Gas (273.15 K, 101.325 kPa)

IdealGasMolarAtm / IdealGasMolar101 / V_m101

(5463 ∕ 2026500) × GasConstant K ∕ Pa

Sackur-Tetrode constant (1 K, 100 kPa)

SackurTetrode100 / SackurTetrode

−1.15170753496(47)

Sackur-Tetrode constant (1 K, 101.325 kPa)

SackurTetrodeAtm / SackurTetrode101

−1.16487052149(47)

Second Radiation Constant

SecondRadiation / c_2

(cℎ) ∕ k_B

Stefan-Boltzmann Constant

stefan / σ / sigma

(k_B⁴ (2π⁵)) ∕ (15c²ℎ³)

Wien frequency displacement law constant

WienFrequency

(k_B(3 + lambertw(−3 ∕ e³))) ∕ ℎ

Wien wavelength displacement law constant

WienDisplacement / b_energy

(cℎ) ∕ (k_B(5 + lambertw(−5 ∕ e⁵)))

Characteristic Impedance of Vacuum

CharacteristicImpedance / Z_0

(2αℎ) ∕ q_e²

Electric Constant (Permittivity of Free Space)

ElectricConstant / ε_0 / VacuumPermittivity / epsilon_0

q_e² ∕ (2cαℎ)

Magnetic Constant (Permeability of Free Space)

MagneticConstant / μ_0 / µ_0 / VacuumPermeability / mu_0

(2αℎ) ∕ (c × q_e²)

Newtonian Constant of Gravitation

NewtonianConstant / G

6.67430(15) × 10⁻¹¹ m³ ∕ (s²·kg)

Planck Constant

planck / ℎ

6.62607015 × 10⁻³⁴ J·s

Reduced Planck Constant (Dirac constant)

planck2pi / dirac / ℏ / hbar

ℎ ∕ (2π)

Speed of Light in Vacuum

c / SpeedOfLight

299792.458 km ∕ s

Standard Acceleration due to Gravity

StandardGravity / g_0 / ɡ_0 / ɡ_n

9.80665 m ∕ s²