Appendix B. Variable List

Table of Contents

Basic Constants
Date & Time
Large Numbers
Physical Constants
Atomic and Nuclear Constants
Conversion factors for energy equivalents
Electromagnetic Constants
Particle Mass in MeV*c^(-2)
Particle Mass in kg
Particle Mass in u
Physico-Chemical Constants
Universal Constants
Small Numbers
Special Numbers
Temporary
Unknowns
Utilities

Basic Constants

Table B.1. Variables: Basic Constants

Title

Names

Value

Apery's Constant

apery

zeta(3)

Archimedes' Constant (pi)

π / pi

3.1415927 (variable precision)

Base of Natural Logarithms (e)

e

2.7182818 (variable precision)

Catalan's Constant

catalan

0.91596559 (variable precision)

Euler's Constant

γ / euler

0.57721566 (variable precision)

Golden Ratio

golden / φ

(1+sqrt(5))/2

Omega Constant

omega

lambertw(1)

Pythagoras' Constant (sqrt 2)

pythagoras

sqrt(2)

Tau (2pi)

τ / tau

2×pi


Date & Time

Table B.2. Variables: Date & Time

Title

Names

Value

Now (date and time)

now

current date and time

Today

today

current date

Tomorrow

tomorrow

tomorrow's date

Yesterday

yesterday

yesterday's date


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_charge2/(4×pi×electric_constant×electron_mass×c2)

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_radius2

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/c2

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/c2

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/c2

Kilogram - Hertz Relationship

kg_to_Hz

c2/planck

Kilogram - Inverse Meter Relationship

kg_to_m

c/planck

Kilogram - Joule Relationship

kg_to_J

c2

Kilogram - Kelvin Relationship

kg_to_K

c2/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_charge2/planck

Coulomb's Constant (Electric Force Constant)

coulombs_constant / k_e

(magnetic_constant×c2)/(4pi)

Elementary Charge

elementary_charge / q_e / e_charge

1.602176634E−19 C

Inverse of Conductance Quantum

inverse_conductance_quantum

planck/(2×elementary_charge2)

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_charge2

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×c2/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×c2/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×c2/electronvolt_constant×1E−6 MeV*c_unit^(-2)

Neutron Mass (in MeV/c^2)

neutron_eV

neutron_mass×c2/electronvolt_constant×1E−6 MeV*c_unit^(-2)

Proton Mass (in MeV/c^2)

proton_eV

proton_mass×c2/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×c2/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_structure2)

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_structure2×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×c2

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_structure2×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

(2pi5×boltzmann4)/(15×planck3×c2)

Wien frequency displacement law constant

wien_frequency

(k_B/planck)×(lambertw(−3/e3)+3)

Wien wavelength displacement law constant

wien_displacement / b_energy

(planck×c/k_B)/(lambertw(−5/e5)+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_charge2)

Electric Constant (Permittivity of Free Space)

electric_constant / ε_0 / vacuum_permittivity

elementary_charge2/(2×planck×fine_structure×c)

Magnetic Constant (Permeability of Free Space)

magnetic_constant / μ_0 / vacuum_permeability

(2×planck×fine_structure)/(c×elementary_charge2)

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

−∞

Positive Infinity

∞ / plus_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

Memory

MR / MRC

result of memory operations (MC, MS, M+, M−)


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

current computer uptime