# 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

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 / phi

(1+sqrt(5))/2

Omega Constant

omega

lambertw(1)

Plastic Number

plastic / ρ / rho

cbrt((9+sqrt(69))/18)+cbrt((9−sqrt(69))/18)

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

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

## Matrices & Vectors

Table B.4. Variables: Matrices & Vectors

Title

Names

Value

Pauli Matrix 0

Pauli0 / σ_0

[1 0; 0 1]

Pauli Matrix 1

Pauli1 / σ_1

[0 1; 1 0]

Pauli Matrix 2

Pauli2 / σ_2

[0 −i; i 0]

Pauli Matrix 3

Pauli3 / σ_3

[1 0; 0 −1]

## Physical Constants

### Atomic and Nuclear Constants

Table B.5. Variables: Atomic and Nuclear Constants

Title

Names

Value

planck2pi/(fine_structure×electron_mass×c)

elementary_charge2/(4×pi×electric_constant×electron_mass×c2)

Fermi Coupling Constant

FermiCoupling

1.1663787E−5±6E−12 GeV^(-2)

Fine-Structure Constant

FineStructure / α / alpha

7.2973525643E−3±1.1E−12

Hartree Energy (constant)

HartreeConstant / Ha_constant

2×rydberg×planck×c

Quantum of Circulation

QuantumCirculation

planck/(2×electron_mass)

Quantum of Circulation times 2

QuantumCirculation2

quantum_circulation×2

Rydberg Constant

rydberg / R_∞

10973731.568157±0.000012 m^(-1)

Thomson cross section

ThomsonCrossSection / σ_t / sigma_t

W to Z Mass Ratio

w_z_ratio

0.88145±0.00013

Weak Mixing Angle (sin²θw)

WeakMixingAngle / sin2θ_W / weinberg / sin2_theta_W

1−w_z_ratio2

### Conversion factors for energy equivalents

Table B.6. 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.7. Variables: Electromagnetic Constants

Title

Names

Value

Bohr Magneton

BohrMagneton / μ_B / µ_0 / mu_B

(elementary_charge×planck)/(4×electron_mass×pi)

Conductance Quantum

ConductanceQuantum / G_0

2×elementary_charge2/planck

Coulomb's Constant (Electric Force Constant)

CoulombsConstant / k_e

(magnetic_constant×c2)/(4pi)

Elementary Charge

ElementaryCharge / q_e / e_charge

1.602176634E−19 C

Inverse of Conductance Quantum

InverseConductanceQuantum

planck/(2×elementary_charge2)

Josephson Constant

josephson / K_J

2×elementary_charge/planck

Josephson Constant (conventional value)

JosephsonConventional / K_J90

4.835979E14 Hz*V^(-1)

Magnetic Flux Quantum

MagneticFluxQuantum / Φ_0 / phi_0

planck/(2×elementary_charge)

Nuclear Magneton

NuclearMagneton / μ_N / µ_N / mu_N

elementary_charge×planck2pi/(2×proton_mass)

von Klitzing Constant

klitzing / R_K

planck/elementary_charge2

von Klitzing Constant (conventional value)

KlitzingConventional / R_K90

25812.807 ohm

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

Table B.8. Variables: Particle Mass in MeV*c^(-2)

Title

Names

Value

Alpha Particle Mass (in MeV/c^2)

AlphaParticleEV

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)

ElectronEV

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

Higgs Boson Mass (in MeV/c^2)

HiggsBoson

125180±160 MeV*c_unit^(-2)

Muon Mass (in MeV/c^2)

MuonEV

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

Neutron Mass (in MeV/c^2)

NeutronEV

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

Proton Mass (in MeV/c^2)

ProtonEV

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)

TauEV

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.9. Variables: Particle Mass in kg

Title

Names

Value

Alpha Particle Mass

AlphaParticleMass / m_α / m_alpha

nounit(alpha_particle_u)×atomic_mass_constant

Deuteron Mass

DeuteronMass

nounit(deuteron_u)×atomic_mass_constant

Electron Mass

ElectronMass / m_e

(2×rydberg×planck)/(c×fine_structure2)

Helion Mass

HelionMass / m_h

nounit(helion_u)×atomic_mass_constant

Muon Mass

MuonMass / m_μ / m_µ / m_mu

nounit(muon_u)×atomic_mass_constant

Neutron Mass

NeutronMass / m_n

nounit(neutron_u)×atomic_mass_constant

Proton Mass

ProtonMass / m_p

nounit(proton_u)×atomic_mass_constant

Tau Mass

TauMass / m_τ / m_tau

nounit(tau_u)×atomic_mass_constant

Triton Mass

TritonMass

nounit(triton_u)×atomic_mass_constant

### Particle Mass in u

Table B.10. Variables: Particle Mass in u

Title

Names

Value

Alpha Particle Mass (in u)

alpha_particle_u

4.001506179129±6.2E−11 u

Deuteron Mass (in u)

deuteron_u

2.013553212544±1.5E−11 u

Electron Mass (in u)

electron_u

5.485799090441E−4±9.7E−15 u

Helion Mass (in u)

helion_u

3.014932246932±7.4E−11 u

Muon Mass (in u)

muon_u

0.1134289257±2.5E−9 u

Neutron Mass (in u)

neutron_u

1.00866491606±4.0E−10 u

Proton Mass (in u)

proton_u

1.0072764665789±8.3E−12 u

Tau Mass (in u)

tau_u

1.90754±1.3E−4 u

Triton Mass (in u)

triton_u

3.01550071597±1.0E−10 u

### Physico-Chemical Constants

Table B.11. Variables: Physico-Chemical Constants

Title

Names

Value

Atomic Mass Constant

AtomicMassConstant / m_u

(2×rydberg×planck)/(c×fine_structure2×nounit(electron_u))

6.02214076E23 mol^(-1)

Boltzmann Constant

boltzmann / k_B

1.380649E−23 J*K^(-1)

Compton Wavelength

ComptonWavelength / λ_C / lambda_C

planck/(electron_mass×c)

Electronvolt (constant)

ElectronvoltConstant / eV_constant

elementary_charge/C×J

2×pi×planck×c2

Gas Constant

GasConstant / IdealGas

Lattice Parameter of Silicon

LatticeParameterSi

543.1020511E−12±8.9E−18 m

Lattice Spacing of Ideal Silicon (220)

LatticeSpacingSi220 / d_220

lattice_parameter_Si/sqrt(8)

Loschmidt Constant (273.15 K, 100 kPa)

Loschmidt100

(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

MolarMass / M_u

Molar Planck Constant

MolarPlanck

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

IdealGasMolar / V_m

(gas_constant×273.15×K)/(100000×Pa)

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

IdealGasMolar101 / V_m101

(gas_constant×273.15×K)/(101325×Pa)

Reduced Compton Wavelength

ComptonWavelength2pi

compton_wavelength/(2×pi)

Sackur-Tetrode constant (1 K, 100 kPa)

SackurTetrode

−1.15170753496±4.7E−10

Sackur-Tetrode constant (1 K, 101.325 kPa)

SackurTetrode101

−1.16487052149±4.7E−10

planck×c/boltzmann

Stefan-Boltzmann Constant

stefan / σ / sigma

(2pi5×boltzmann4)/(15×planck3×c2)

Wien frequency displacement law constant

WienFrequency

(k_B/planck)×(lambertw(−3/e3)+3)

Wien wavelength displacement law constant

WienDisplacement / b_energy

(planck×c/k_B)/(lambertw(−5/e5)+5)

### Universal Constants

Table B.12. Variables: Universal Constants

Title

Names

Value

Characteristic Impedance of Vacuum

CharacteristicImpedance / Z_0

(2×planck×fine_structure)/(elementary_charge2)

Electric Constant (Permittivity of Free Space)

ElectricConstant / ε_0 / VacuumPermittivity / epsilon_0

elementary_charge2/(2×planck×fine_structure×c)

Magnetic Constant (Permeability of Free Space)

MagneticConstant / μ_0 / µ_0 / VacuumPermeability / mu_0

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

Newtonian Constant of Gravitation

NewtonianConstant / 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 / hbar

planck/(2×pi)

Speed of Light in Vacuum

c / SpeedOfLight

299792458 m*s^(-1)

Standard Acceleration due to Gravity

StandardGravity / g_0 / ɡ_0 / ɡ_n

9.80665 m s^(-2)

## Small Numbers

Table B.13. Variables: Small Numbers

Title

Names

Value

Per Mille

permille / ‰

0.001

0.0001

Percent

% / percent

0.01

## Special Numbers

Table B.14. Variables: Special Numbers

Title

Names

Value

False

false / no

0

Imaginary i (sqrt -1)

i

i

Negative Infinity

MinusInfinity

−∞

Positive Infinity

∞ / PlusInfinity / infinity

+∞

True

true / yes

1

Undefined

undefined

undefined

## Temporary

Table B.15. Variables: Temporary

Title

Names

Value

ans2

a previous result

ans3

a previous result

ans4

a previous result

ans5

a previous result

a previous result

Memory

MR / MRC

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

Title

Names

Value

Baker's Dozen

BakersDozen

13

Dozen

dozen / dz / doz

12

Great Gross

GreatGross

1728

Gross

gross / gro

144

Long Hundred

LongHundred / GreatHundred / twelfty

120

Long Thousand

LongThousand

1200

Score

score

20

## Unknowns

Table B.17. Variables: Unknowns

Title

Names

Value

n (integer)

n

integer

x

x

default assumptions

y

y

default assumptions

z

z

default assumptions

## Utilities

Table B.18. Variables: Utilities

Title

Names

Value

Precision

precision

current precision

System Uptime

uptime

current computer uptime