Appendix B. Variable List
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# Appendix B. Variable List

## Basic Constants

Table B.1. Variables: Basic Constants

Title | Names | Value
--- | --- | ---
Apery's Constant | apery | zeta(3)
Archimedes' Constant (pi) | π / pi | interval(3.1415926, 3.1415927) (variable precision)
Base of Natural Logarithms (e) | e | interval(2.7182818, 2.7182819) (variable precision)
Catalan's Constant | catalan | interval(0.91596559, 0.91596560) (variable precision)
Euler's Constant | γ / euler | interval(0.57721566, 0.57721567) (variable precision)
Golden Ratio | golden / φ | (1+sqrt(5))/2
Omega Constant | omega | lambertw(1)
Pythagoras' Constant (sqrt 2) | pythagoras | sqrt(2)

## Date & Time

Table B.2. Variables: Date & Time

Title | Names | Value
--- | --- | ---
Now (date and time) | now | "2020-02-26T10:07:03"
Today | today | "2020-02-26"
Tomorrow | tomorrow | "2020-02-27"
Yesterday | yesterday | "2020-02-25"

## Large Numbers

Table B.3. Variables: Large Numbers

Title | Names | Value
--- | --- | ---
Billion | billion | 1E9
Centillion | centillion | 1E303
Decillion | decillion | 1E33
Duodecillion | duodecillion | 1E39
Googol | googol | 10^100
Googolplex | googolplex | 10^(10^100)
Hundred | hundred | 1E2
Million | million | 1E6
Nonillion | nonillion | 1E30
Novemdecillion | novemdecillion | 1E60
Octillion | octillion | 1E27
Octodecillion | octodecillion | 1E57
Quadrillion | quadrillion | 1E15
Quattuordecillion | quattuordecillion | 1E45
Quindecillion | quindecillion | 1E48
Quintillion | quintillion | 1E18
Septendecillion | septendecillion | 1E54
Septillion | septillion | 1E24
Sexdecillion | sexdecillion | 1E51
Sextillion | sextillion | 1E21
Thousand | thousand | 1E3
Tredecillion | tredecillion | 1E42
Trillion | trillion | 1E12
Undecillion | undecillion | 1E36
Vigintillion | vigintillion | 1E63

## Physical Constants

### Atomic and Nuclear Constants

Table B.4. Variables: Atomic and Nuclear Constants

Title | Names | Value
--- | --- | ---
Bohr Radius | bohr_radius / a_0 | planck2pi/(fine_structure*electron_mass*c)
Classical Electron Radius | classical_electron_radius / r_e | elementary_charge^2/(4*pi*electric_constant*electron_mass*c^2)
Fermi Coupling Constant | fermi_coupling | 1.1663787E-5±6E-12 GeV^(-2)
Fine-Structure Constant | fine_structure / α | 7.2973525693E-3±1.1E-12
Hartree Energy (constant) | hartree_constant / Ha_constant | 2*rydberg*planck*c
Quantum of Circulation | quantum_circulation | planck/(2*electron_mass)
Quantum of Circulation times 2 | quantum_circulation_2 | quantum_circulation*2
Rydberg Constant | rydberg / R_∞ | 10973731.568160±0.000021 m^(-1)
Thomson cross section | thomson_cross_section / σ_t | (8*pi/3)*classical_electron_radius^2
W to Z Mass Ratio | w_z_ratio | 0.88153±0.00017
Weak Mixing Angle (Weinberg Angle) | weinberg / weak_mixing_angle / θ_W | 0.22290±0.00030

### Conversion factors for energy equivalents

Table B.5. Variables: Conversion factors for energy equivalents

Title | Names | Value
--- | --- | ---
Hertz - Inverse Meter Relationship | Hz_to_m | 1/c
Hertz - Joule Relationship | Hz_to_J | planck
Hertz - Kelvin Relationship | Hz_to_K | planck/boltzmann
Hertz - Kilogram Relationship | Hz_to_kg | planck/c^2
Inverse Meter - Hertz Relationship | m_to_Hz | c
Inverse Meter - Joule Relationship | m_to_J | planck*c
Inverse Meter - Kelvin Relationship | m_to_K | planck*c/boltzmann
Inverse Meter - Kilogram Relationship | m_to_kg | planck/c
Joule - Hertz Relationship | J_to_Hz | 1/planck
Joule - Inverse Meter Relationship | J_to_m | 1/(planck*c)
Joule - Kelvin Relationship | J_to_K | 1/boltzmann
Joule - Kilogram Relationship | J_to_kg | 1/c^2
Kelvin - Hertz Relationship | K_to_Hz | boltzmann/planck
Kelvin - Inverse Meter Relationship | K_to_m | boltzmann/(planck*c)
Kelvin - Joule Relationship | K_to_J | boltzmann
Kelvin - Kilogram Relationship | K_to_kg | boltzmann/c^2
Kilogram - Hertz Relationship | kg_to_Hz | c^2/planck
Kilogram - Inverse Meter Relationship | kg_to_m | c/planck
Kilogram - Joule Relationship | kg_to_J | c^2
Kilogram - Kelvin Relationship | kg_to_K | c^2/boltzmann

### Electromagnetic Constants

Table B.6. Variables: Electromagnetic Constants

Title | Names | Value
--- | --- | ---
Bohr Magneton | bohr_magneton / μ_B | (elementary_charge*planck)/(4*electron_mass*pi)
Conductance Quantum | conductance_quantum / G_0 | 2*elementary_charge^2/planck
Coulomb's Constant (Electric Force Constant) | coulombs_constant / k_e | (magnetic_constant*c^2)/(4pi)
Elementary Charge | elementary_charge / q_e / e_charge | 1.602176634E-19 C
Inverse of Conductance Quantum | inverse_conductance_quantum | planck/(2*elementary_charge^2)
Josephson Constant | josephson / K_J | 2*elementary_charge/planck
Josephson Constant (conventional value) | josephson_conventional / K_J90 | 4.835979E14 Hz*V^(-1)
Magnetic Flux Quantum | magnetic_flux_quantum / Φ_0 | planck/(2*elementary_charge)
Nuclear Magneton | nuclear_magneton / μ_N | elementary_charge*planck2pi/(2*proton_mass)
von Klitzing Constant | klitzing / R_K | planck/elementary_charge^2
von Klitzing Constant (conventional value) | klitzing_conventional / R_K90 | 25812.807 ohm

### Particle Mass in MeV*c^(-2)

Table B.7. Variables: Particle Mass in MeV*c^(-2)

Title | Names | Value
--- | --- | ---
Alpha Particle Mass (in MeV/c^2) | alpha_particle_eV | alpha_particle_mass*c^2/electronvolt_constant*1E-6 MeV*c_unit^(-2)
Bottom Quark Mass (in MeV/c^2) | quark_b | 4180±40 MeV*c_unit^(-2)
Charm Quark Mass (in MeV/c^2) | quark_c | 1275±35 MeV*c_unit^(-2)
Down Quark Mass (in MeV/c^2) | quark_d | 4.7±0.5 MeV*c_unit^(-2)
Electron Mass (in MeV/c^2) | electron_eV | electron_mass*c^2/electronvolt_constant*1E-6 MeV*c_unit^(-2)
Higgs Boson Mass (in MeV/c^2) | higgs_boson | 125180±160 MeV*c_unit^(-2)
Muon Mass (in MeV/c^2) | muon_eV | muon_mass*c^2/electronvolt_constant*1E-6 MeV*c_unit^(-2)
Neutron Mass (in MeV/c^2) | neutron_eV | neutron_mass*c^2/electronvolt_constant*1E-6 MeV*c_unit^(-2)
Proton Mass (in MeV/c^2) | proton_eV | proton_mass*c^2/electronvolt_constant*1E-6 MeV*c_unit^(-2)
Strange Quark Mass (in MeV/c^2) | quark_s | 95±9 MeV*c_unit^(-2)
Tau Mass (in MeV/c^2) | tau_eV | tau_mass*c^2/electronvolt_constant*1E-6 MeV*c_unit^(-2)
Top Quark Mass (in MeV/c^2) | quark_t | 173210±510 MeV*c_unit^(-2)
Up Quark Mass (in MeV/c^2) | quark_u | 2.2±0.5 MeV*c_unit^(-2)
W Boson Mass (in MeV/c^2) | w_boson | 80379±12 MeV*c_unit^(-2)
Z Boson Mass (in MeV/c^2) | z_boson | 91187.6±2.1 MeV*c_unit^(-2)

### Particle Mass in kg

Table B.8. Variables: Particle Mass in kg

Title | Names | Value
--- | --- | ---
Alpha Particle Mass | alpha_particle_mass / m_α | nounit(alpha_particle_u)*atomic_mass_constant
Deuteron Mass | deuteron_mass | nounit(deuteron_u)*atomic_mass_constant
Electron Mass | electron_mass / m_e | (2*rydberg*planck)/(c*fine_structure^2)
Helion Mass | helion_mass / m_h | nounit(helion_u)*atomic_mass_constant
Muon Mass | muon_mass / m_μ | nounit(muon_u)*atomic_mass_constant
Neutron Mass | neutron_mass / m_n | nounit(neutron_u)*atomic_mass_constant
Proton Mass | proton_mass / m_p | nounit(proton_u)*atomic_mass_constant
Tau Mass | tau_mass / m_τ | nounit(tau_u)*atomic_mass_constant
Triton Mass | triton_mass | nounit(triton_u)*atomic_mass_constant

### Particle Mass in u

Table B.9. Variables: Particle Mass in u

Title | Names | Value
--- | --- | ---
Alpha Particle Mass (in u) | alpha_particle_u | 4.001506179127±6.3E-11 u
Deuteron Mass (in u) | deuteron_u | 2.013553212745±4.0E-11 u
Electron Mass (in u) | electron_u | 5.48579909065E-4±1.6E-14 u
Helion Mass (in u) | helion_u | 3.014932247175±9.7E-11 u
Muon Mass (in u) | muon_u | 0.1134289259±2.5E-9 u
Neutron Mass (in u) | neutron_u | 1.00866491595±4.9E-10 u
Proton Mass (in u) | proton_u | 1.007276466621±5.3E-11 u
Tau Mass (in u) | tau_u | 1.90754±1.3E-4 u
Triton Mass (in u) | triton_u | 3.01550071621±1.2E-10 u

### Physico-Chemical Constants

Table B.10. Variables: Physico-Chemical Constants

Title | Names | Value
--- | --- | ---
Atomic Mass Constant | atomic_mass_constant / m_u | (2*rydberg*planck)/(c*fine_structure^2*nounit(electron_u))
Avogadro Constant | avogadro / N_A | 6.02214076E23 mol^(-1)
Boltzmann Constant | boltzmann / k_B | 1.380649E-23 J*K^(-1)
Compton Wavelength | compton_wavelength / λ_C | planck/(electron_mass*c)
Electronvolt (constant) | electronvolt_constant / eV_constant | elementary_charge/C*J
Faraday Constant | faraday / ℱ | avogadro*elementary_charge
First Radiation Constant | first_radiation / c_1 | 2*pi*planck*c^2
First Radiation Constant for Spectral Radiance | first_radiation_sr / c_1L | first_radiation/pi
Gas Constant | gas_constant / ideal_gas | boltzmann*avogadro
Lattice Parameter of Silicon | lattice_parameter_Si | 543.1020511E-12±8.9E-18 m
Lattice Spacing of Ideal Silicon (220) | lattice_spacing_Si220 / d_220 | lattice_parameter_Si/sqrt(8)
Loschmidt Constant (273.15 K, 100 kPa) | loschmidt_100 | (100000*Pa)/(boltzmann*273.15*K)
Loschmidt Constant (273.15 K, 101.325 kPa) | loschmidt / n_0 | (101325*Pa)/(boltzmann*273.15*K)
Molar Mass Constant | molar_mass / M_u | (2*planck*rydberg*avogadro)/(c*fine_structure^2*nounit(electron_u))
Molar Planck Constant | molar_planck | avogadro*planck
Molar Volume of Ideal Gas (273.15 K, 100 kPa) | ideal_gas_molar / V_m | (gas_constant*273.15*K)/(100000*Pa)
Molar Volume of Ideal Gas (273.15 K, 101.325 kPa) | ideal_gas_molar_101 / V_m101 | (gas_constant*273.15*K)/(101325*Pa)
Reduced Compton Wavelength | compton_wavelength_2pi | compton_wavelength/(2*pi)
Sackur-Tetrode constant (1 K, 100 kPa) | sackur_tetrode | -1.15170753706±4.5E-10
Sackur-Tetrode constant (1 K, 101.325 kPa) | sackur_tetrode_101 | -1.16487052358±4.5E-10
Second Radiation Constant | second_radiation / c_2 | planck*c/boltzmann
Stefan-Boltzmann Constant | stefan / σ | (2pi^5*boltzmann^4)/(15*planck^3*c^2)
Wien frequency displacement law constant | wien_frequency | (k_B/planck)×(lambertw(−3/e^3)+3)
Wien wavelength displacement law constant | wien_displacement / b_energy | (planck×c/k_B)/(lambertw(−5/e^5)+5)

### Universal Constants

Table B.11. Variables: Universal Constants

Title | Names | Value
--- | --- | ---
Characteristic Impedance of Vacuum | characteristic_impedance / Z_0 | (2*planck*fine_structure)/(elementary_charge^2)
Electric Constant (Permittivity of Free Space) | electric_constant / ε_0 / vacuum_permittivity | elementary_charge^2/(2*planck*fine_structure*c)
Magnetic Constant (Permeability of Free Space) | magnetic_constant / μ_0 / vacuum_permeability | (2*planck*fine_structure)/(c*elementary_charge^2)
Newtonian Constant of Gravitation | newtonian_constant / G | 6.67430E-11±1.5E-15 m^3*kg^(-1)*s^(-2)
Planck Constant | planck / ℎ | 6.62607015E-34 J*s
Reduced Planck Constant (Dirac constant) | planck2pi / dirac / ℏ | planck/(2*pi)
Speed of Light in Vacuum | c / speed_of_light | 299792458 m*s^(-1)
Standard Acceleration due to Gravity | standard_gravity / g_0 / ɡ_0 / ɡ_n | 9.80665 m s^(-2)

## Small Numbers

Table B.12. Variables: Small Numbers

Title | Names | Value
--- | --- | ---
Per Mille | permille / ‰ | 0.001
Per Myriad | permyriad / ‱ | 0.0001
Percent | % / percent | 0.01

## Special Numbers

Table B.13. Variables: Special Numbers

Title | Names | Value
--- | --- | ---
False | false / no | 0
Imaginary i (sqrt -1) | i | i
Negative Infinity | minus_infinity | -infinity
Positive Infinity | ∞ / plus_infinity / infinity | +infinity
True | true / yes | 1
Undefined | undefined | undefined

## Temporary

Table B.14. Variables: Temporary

Title | Names | Value
--- | --- | ---
Answer 2 | ans2 | a previous result
Answer 3 | ans3 | a previous result
Answer 4 | ans4 | a previous result
Answer 5 | ans5 | a previous result
Last Answer | ans / answer / ans1 | a previous result

## Unknowns

Table B.15. Variables: Unknowns

Title | Names | Value
--- | --- | ---
n (integer) | n | integer
x | x | default assumptions
y | y | default assumptions
z | z | default assumptions

## Utilities

Table B.16. Variables: Utilities

Title | Names | Value
--- | --- | ---
Precision | precision | current precision
System Uptime | uptime | 7.0792239 Ms

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