Table of Contents
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) |
Pythagoras' Constant (sqrt 2) |
pythagoras |
sqrt(2) |
Tau (2pi) |
τ / tau |
2×pi |
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 |
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 |
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 / alpha |
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 / sigma_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 / theta_W |
0.22290±0.00030 |
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 |
Table B.6. Variables: Electromagnetic Constants
Title |
Names |
Value |
---|---|---|
Bohr Magneton |
bohr_magneton / μ_B / mu_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 / phi_0 |
planck/(2×elementary_charge) |
Nuclear Magneton |
nuclear_magneton / μ_N / mu_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 |
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) |
Table B.8. Variables: Particle Mass in kg
Title |
Names |
Value |
---|---|---|
Alpha Particle Mass |
alpha_particle_mass / m_α / m_alpha |
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 / m_mu |
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 / m_tau |
nounit(tau_u)×atomic_mass_constant |
Triton Mass |
triton_mass |
nounit(triton_u)×atomic_mass_constant |
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 |
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 / lambda_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 / sigma |
(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) |
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 / epsilon_0 |
elementary_charge2/(2×planck×fine_structure×c) |
Magnetic Constant (Permeability of Free Space) |
magnetic_constant / μ_0 / vacuum_permeability / mu_0 |
(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) |
Table B.12. Variables: Small Numbers
Title |
Names |
Value |
---|---|---|
Per Mille |
permille / ‰ |
0.001 |
Per Myriad |
permyriad / ‱ |
0.0001 |
Percent |
% / percent |
0.01 |
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 |
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−) |