| Quantity | Category | Dimension | Name | Symbol | Conversion |
|---|---|---|---|---|---|
| length | SI, base | L | metre | m | (base unit) |
| extra | astronomical unit | AU | 1 AU = 149 597 870 700 m | ||
| extra | parsec | pc | 1 pc = (648 000/π) au = 3.085 678...×10¹⁶ m | ||
| extra | lightyear | lyr | 1 lyr = c × 365.25 d = 9 460 730 472 580 800 m | ||
| extra | atomic unit of length, bohr | a₀ | 1 a₀ = 0.529 177 2108(18)×10⁻¹⁰ m | ||
| extra | ångström | Å | 1 Å = 10⁻¹⁰ m | ||
| imperial | nautical mile | M | 1 M = 1852 m | ||
| imperial | mile, international mile | mi | 1 mi = 5280 ft = 1609.344 m | ||
| imperial | yard | yd | 1 yd = 0.9144 m | ||
| imperial | international foot | ', ft | 1 ft = 0.3048 m | ||
| imperial | inch | ", in | 39.37 in = 1 m | ||
| mass | SI, base | M | kilogram | kg | (base unit) |
| SI | tonne, metric ton | t | 1 t = 10³ kg | ||
| extra | dalton | Da | 1 Da = 1.660 538 86(28)×10⁻²⁷ kg | ||
| extra | unified atomic mass unit | u | 1 u = 1 Da | ||
| extra | natural unit of mass | m_e | 1 m_e = 9.109 3826(16)×10⁻³¹ kg | ||
| extra | earth mass | M_Earth | 1 M_Earth (see table) | ||
| extra | jupiter mass | M_Jupiter | 1 M_Jupiter (see table) | ||
| extra | solar mass | M_Sun | 1 M_Sun (see table) | ||
| imperial | photometric carat | carat | 1 carat = 2×10⁻⁴ kg | ||
| imperial | pound | lb | 1 lb = 4.535 923 7×10⁻¹ kg | ||
| imperial | ounce | oz | 1 oz = 2.834 952×10⁻² kg | ||
| time, duration | SI, base | T | second | s | (base unit) |
| SI | minute | min | 1 min = 60 s | ||
| SI | hour | h | 1 h = 60 min = 3 600 s | ||
| SI | day | d | 1 d = 24 h = 86 400 s | ||
| SI | week | w | 1 w = 7 d = 604 800 s | ||
| SI | calendar month | 1 calendar month = 30 d = 2 592 000 s | |||
| SI | calendar year | 1 calendar yr = 365.25 d = 3.155 760×10⁷ s | |||
| SI | (gregorian) month | 1 month = 1/12 yr = 2629746 s | |||
| SI | (gregorian) year | yr | 1 yr = 365.25 d = 3.155 695 2×10⁷ s | ||
| extra | sidereal year | 1 sidereal year = 3.155 815×10⁷ s | |||
| extra | tropical year | 1 tropical year = 3.155 693×10⁷ s | |||
| extra | natural unit of time | ħ/(m_e c²) | 1 ħ/(m_e c²) = 1.288 088 6677(86)×10⁻²¹ s | ||
| extra | atomic unit of time | ħ/Eh | 1 ħ/Eh = 2.418 884 326 505(16)×10⁻¹⁷ s | ||
| electric current | SI, base | I | ampere | A | (base unit) |
| thermodynamic temperature | SI, base | Θ | kelvin | K | (base unit) |
| SI | degree Celsius | °C | T/K = t/°C + 273.15 | ||
| imperial | degree Fahrenheit | °F | T/K = (t/°F - 459.67)/1.8 | ||
| imperial | degree Rankine | °R | T/K = (t/°R)/1.8, T/°F = t/°R + 459.67 | ||
| amount of substance | SI, base | N | mole | mol | (base unit) |
| luminous intensity | SI, base | J | candela | cd | (base unit) |
| area | SI | L² | square metre | 1 m² | |
| SI | hectare | ha | 1 ha = 10⁴ m² | ||
| extra | are | a | 1 a = 10² m² | ||
| imperial | barn | b | 1 b = 10⁻²⁸ m² | ||
| imperial | acre | A | 1 A = | ||
| imperial | international acre | ac | 1 ac = | ||
| volume | SI | L³ | cubic metre | 1 m³ | |
| SI | litre | l | 1 l = 10⁻³ m³ | ||
| speed, velocity | SI | L T⁻¹ | metre per second | 1 m/s | |
| SI | kilometre per hour | 1 km/h = (1000/3600) m/s | |||
| extra | natural unit of speed | c | 1 c = 299 792 458 m/s (exact) | ||
| imperial | knot (nautical mile per hour) | kn | 1 M/h = 1852/3600 m/s | ||
| acceleration | SI | L T⁻² | metre per second squared | 1 m/s² | |
| CGS | galileo | Gal | 1 Gal = 10⁻² m s⁻² | ||
| imperial | standard gravity | g | 1 g = 9.806 65 m/s² | ||
| wavenumber | SI | L⁻¹ | reciprocal metre | 1 m⁻¹ | |
| density, mass density, mass concentration | SI | L⁻³ M | kilogram per cubic metre | 1 kg/m³ | |
| surface density, area density | SI | L⁻² M | kilogram per square metre | 1 kg/m² | |
| specific volume | SI | L³ M⁻¹ | cubic metre per kilogram | 1 m³/kg | |
| current density | SI | L⁻² I | ampere per square metre | 1 A/m² | |
| magnetic field strength, magnetization | SI | L⁻¹ I | ampere per metre | 1 A/m | |
| CGS | œrsted | Oe | 1 Oe = (10³/4π) A m⁻¹ | ||
| amount concentration, concentration, molar concentration | SI | L⁻³ N | mole per cubic metre | 1 mol/m³ | |
| luminance | SI | L⁻² J | candela per square metre | 1 cd/m² | |
| CGS | stilb | sb | 1 sb = 10⁴ cd m⁻² | ||
| refractive index | removed | 1 | one | 1 | |
| relative permeability | removed | 1 | one | 1 | |
| angle, plane angle | SI, base | A | radian | rad | 1 rad = 1 m/m (base unit) |
| SI | degree | ° | 1 ° = (π/ 180) rad | ||
| SI | minute, arcminute | ', amin | 1 ' = (π/ 10 800) rad | ||
| SI | second, arcsecond | ", as | 1 " = (π/648 000) rad | ||
| extra | gon, grad | gon | 1 gon = (π/ 200) rad | ||
| imperial | revolution | r | 1 r = 2π rad | ||
| solid angle | SI | A² | steradian | sr | 1 sr = 1 rad² = 1 m²/m² |
| frequency | SI | T⁻¹ | hertz | Hz | 1 Hz = 1 s⁻¹ |
| force | SI | L M T⁻² | newton | N | 1 N = 1 m kg s⁻² |
| CGS | dyne | dyn | 1 dyn = 10⁻⁵ N | ||
| imperial | kilogram-force | kgf | 1 kgf = 9.806 65 N | ||
| pressure, stress | SI | L⁻¹ M T⁻² | pascal | Pa | 1 Pa = 1 N/m² = 1 m⁻¹ kg s⁻² |
| extra | bar | bar | 1 bar = 10⁵ Pa | ||
| extra | millimetre of mercury | mmHg | 1 mmHg = 133.322 Pa | ||
| imperial | standard atmosphere | atm | 1 atm = 101 325 Pa | ||
| imperial | torr | Torr | 1 Torr = (101 325/760) Pa | ||
| energy, work, amount of heat | SI | L² M T⁻² | joule | J | 1 J = 1 N m = 1 m² kg s⁻² |
| SI | watt hour | 1 W h = 3 600 J | |||
| extra | electronvolt | eV | 1 eV = 1.602 176 53(14)×10⁻¹⁹ J | ||
| imperial | calorie | cal | 1 cal = 4.184 J | ||
| extra | atomic unit of energy, hartree | Eh | 1 Eh = 4.359 744 17(75)×10⁻¹⁸ J | ||
| CGS | erg | erg | 1 erg = 10⁻⁷ J | ||
| power, radiant flux | SI | L² M T⁻³ | watt | W | 1 W = 1 J/s = 1 m² kg s⁻³ |
| electric charge, amount of electricty | SI | T I | coulomb | C | 1 C = 1 s A |
| SI | ampere hour | 1 A h = 3 600 A s | |||
| extra | atomic unit of charge | e | 1 e = 1.602 176 53(14)×10⁻¹⁹ C | ||
| imperial | faraday | F | 1 F = 1 N_A e mol = 96 485.332 89(59) C | ||
| electric potential difference, electromotive force | SI | L² M T⁻³ I⁻¹ | volt | V | 1 V = 1 W/A = 1 m² kg s⁻³ A⁻¹ |
| capacitance | SI | L⁻² M⁻¹ T⁴ I² | farad | F | 1 F = 1C/V = 1 m⁻² kg⁻¹ s⁴ A² |
| electric resitance, impedance | SI | L² M T⁻³ I⁻² | ohm | Ω | 1 Ω = 1V/A = 1 m² kg s⁻³ A⁻² |
| electric conductance | SI | L⁻² M⁻¹ T³ I² | siemens | S | 1 S = 1A/V = 1 m⁻² kg⁻¹ s³ A² |
| magnetic flux | SI | L² M T⁻² I⁻¹ | weber | Wb | 1 Wb = 1V s = 1 m² kg s⁻² A⁻¹ |
| CGS | maxwell | Mx | 1 Mx = 10⁻⁸ Wb | ||
| magnetic flux density | SI | M T⁻² I⁻¹ | tesla | T | 1 T = 1 Wb/m² = 1 kg s⁻² A⁻¹ |
| CGS | gauss | G | 1 G = 10⁻⁴ T | ||
| inductance | SI | L² M T⁻² I⁻² | henry | H | 1 H = 1 Wb/A = 1 m² kg s⁻² A⁻² |
| luminous flux | SI | J A² | lumen | lm | 1 lm = 1 cd sr |
| illuminance | SI | L⁻² J A² | lux | lx | 1 lx = 1 lm/m² = 1 m⁻² cd sr |
| CGS | phot | ph | 1 ph = 10⁴ lx | ||
| luminosity, radiant intensity | SI | L² M T⁻³ A⁻² | watt per steradian | W/sr | 1 W/sr = 1 m² kg s⁻³ |
| extra | solar luminosity | L_Sun | 1 L_sun (see table) | ||
| number of radioactive events, counts | SI, base | C | count | Count | 1 (base unit) |
| activity referred to a radionuclide | SI | T⁻¹ C | becquerel | Bq | 1 Bq = 1 Count s⁻¹ |
| imperial | curie | Ci | 1 Ci = 3.7×10¹⁰ Bq | ||
| absorbed does, specific energy (imparted), kerma | SI | L² T⁻² | gray | Gy | 1 Gy = 1 J/kg = 1 m² s⁻² |
| imperial | rad | rd | 1 rd = 10⁻² Gy | ||
| dose equivalent, ambient does equivalent, personal dose equivalent | SI | S L² T⁻² | sievert | Sv | 1 Sv = 1 J/kg = 1 m² s⁻² |
| imperial | roentgen equivalent man (rem) | rem | 1 rem = 10⁻² Sv | ||
| radiation weighting factor | SI, base | S | sievert per gray | 1 Sv/Gy (base unit) | |
| tissue weighting factor | removed | 1 | one | 1 | |
| catalytic activity | SI | T⁻¹ N | katal | kat | 1 kat = 1 s⁻¹ mol |
| dynamic viscosity | SI | L⁻¹ M T⁻¹ | pascal second | 1 Pa s = 1 m⁻¹ kg s⁻¹ | |
| CGS | poise | P | 1 P = 0.1 Pa s = 0.1 m⁻¹ kg s⁻¹ | ||
| moment of force, torque | SI | L² M T⁻² A⁻¹ | joule per radian | 1 J/rad = 1 m² kg s⁻² | |
| surface tension | SI | M T⁻² | newton per metre | 1 N/m = 1 kg s⁻² | |
| angular velocity | SI | T⁻¹ A | radian per second | 1 rad/s = 1 m m⁻¹ s⁻¹ | |
| imperial | revolution per minute | rpm | 1 rpm = (2π/60) rad/s | ||
| angular acceleration | SI | T⁻² A | radian per second squared | 1 rad/s² = 1 m m⁻¹ s⁻² | |
| heat flux density, irradiance, intensity | SI | M T⁻³ | watt per square metre | 1 W/m² = 1 kg s⁻³ | |
| spectral heat flux density, spectral irradiance | SI | M T⁻² | watt per square metre hertz | 1 W/m²Hz = 1 kg s⁻² | |
| (implemented in terms of surface tension) | SI | Jansky | Jy | 1 Jy = 10⁻²⁶ W/m²Hz = 1 kg s⁻² | |
| heat capacity, entropy | SI | L² M T⁻² Θ⁻¹ | joule per kelvin | 1 J/K = 1 m² kg s⁻² K⁻¹ | |
| specific heat capacity, specific entropy | SI | L² T⁻² Θ⁻¹ | joule per kilogram kelvin | 1 J/(kg K) = 1 m² s⁻² K⁻¹ | |
| specific energy (implemented in terms of absorbed dose) | SI | L² T⁻² | joule per kilogram | 1 J/kg = 1 m² s⁻² | |
| thermal conductivity | SI | L M T⁻³ Θ⁻¹ | watt per metre kelvin | 1 W/(m K) = 1 m kg s⁻³ K⁻¹ | |
| energy density (implemented in terms of pressure) | SI | L⁻¹ M T⁻² | joule per cubic metre | 1 J/m³ = 1 m⁻¹ kg s⁻² | |
| electric field strength | SI | L M T⁻³ I⁻¹ | volt per metre | 1 V/m = 1 m kg s⁻³ A⁻¹ | |
| electric charge density | SI | L⁻³ T I | coulomb per cubic metre | 1 C/m³ = 1 m⁻³ s A | |
| surface charge density, electric flux density, electric displacement | SI | L⁻² T I | coulomb per square metre | 1 C/m² = 1 m⁻² s A | |
| permittivity | SI | L⁻³ M⁻¹ T⁴ I² | farad per metre | 1 F/m = 1 m⁻³ kg⁻¹ s⁴ A² | |
| permeability | SI | L M T⁻² I⁻² | henry per metre | 1 H/m = 1 m kg s⁻² A⁻² | |
| molar energy, chemical potential | SI | L² M T⁻² N⁻¹ | joule per mole | 1 J/mol = 1 m² kg s⁻² mol⁻¹ | |
| molar entropy, molar heat capacity | SI | L² M T⁻² Θ⁻¹ N⁻¹ | joule per mole kelvin | 1 J/(mol K) = 1 m² kg s⁻² K⁻¹ mol⁻¹ | |
| exposure (x- and γ-rays) | SI | M⁻¹ T I | coulomb per kilogram | 1 C/kg = 1 kg⁻¹ s A | |
| imperial | roentgen | R | 1 R = 2.58×10⁻⁴ C/kg | ||
| absorbed dose rate | SI | L² T⁻³ | gray per second | 1 Gy/s = 1 m² s⁻³ | |
| radiance | SI | M T⁻³ A² | watt per square metre steradian | 1 W/(m² sr) = 1 kg s⁻³ | |
| catalytic activity concentration, reaction rate | SI | L⁻³ T⁻¹ N | katal per cubic metre | 1 kat/m³ = 1 m⁻³ s⁻¹ mol | |
| action | SI | L² M T⁻¹ | joule second | 1 J s = 1 m² kg s⁻¹ | |
| extra | natural unit of action | ħ | 1 ħ = 1.054 571 68(18)×10⁻³⁴ J s | ||
| kinematic viscosity | SI | L² T⁻¹ | square metre per second | 1 m²/s | |
| CGS | stokes | St | 1 St = 10⁻⁴ m² s⁻¹ | ||
| dimensionless quantities | SI, base | 1 | one | 1 | |
| SI, base | percent | % | 1 % = 10⁻² | ||
| SI, base | permille | ‰ | 1 ‰ = 10⁻³ | ||
| extra | parts per million | ppm | 1 ppm = 10⁻⁶ | ||
| amount of data, disk space | SI, data | B | bit | bit | (base unit) |
| SI, data | byte | B | 1 B = 8 bit | ||
| speed of data transfer, bandwidth | SI, data | T⁻¹ B | bit per second | 1 bit/s | |
| SI, data | byte per second | 1 byte/s = 8 bit/s | |||
| screen position | data | X | pixel | px | (base unit) |
| screen area | data | X² | pixel | pixel | 1 pixel = 1 px² |
| line density | extra | L⁻¹ M | kilogram per metre | 1 kg/m | |
| absement | extra | L T | metre second | 1 m s | |
| jerk | not implemented | L T⁻³ | metre per cubic second | 1 m s⁻³ | |
| snap | not implemented | L T⁻⁴ | metre per quartic second | 1 m s⁻⁴ | |
| crackle | not implemented | L T⁻⁵ | metre per second to the 5th | 1 m s⁻⁵ | |
| pop | not implemented | L T⁻⁶ | metre per second to the 6th | 1 m s⁻⁶ | |
| electric conductivity | extra | L⁻³ M⁻¹ T³ I² | siemens per metre | S/m | 1 S/m = 1A/V m = 1 m⁻³ kg⁻¹ s³ A² |
| electric resitivity | extra | L³ M T⁻³ I⁻² | ohm metre | Ω m | 1 Ω m = 1V m/A = 1 m kg s⁻³ A⁻² |
| momentum, impulse | SI | L M T⁻¹ | newton second | N s | 1 N s = 1 m kg s⁻¹ |
| angular momentum | SI | L² M T⁻¹ A⁻¹ | newton metre second per radian | N m s/rad | 1 N m s/rad = 1 m² kg s⁻¹ rad⁻¹ |
| moment of inertia | SI | L² M A⁻² | square metre kilogram per steradian | m² kg/sr | 1 m² kg rad⁻² |
quantity = value unit .
unit = system (one|prefix|user defined prefix) dimension .
dimension = {(base|user defined base) power} .
base = L | M | T | I | Θ | N | J | A | C | S | B | X . //See table of dimensions
prefix = (yocto | zepto | ... | yotta) //See table of prefixes
The following physical constants are implemented in benri/si/base.h. They can be used either as a constant or a symbol with benri::si::constant::NAME or benri::si::symbol::NAME.
| Name | Symbol | Value | benri name | Conversion |
|---|---|---|---|---|
| speed of light | c | 299 792 458 m/s (exact) | speed_of_light | 1 m s⁻¹ |
| magnetic constant | μ₀ | 4π×10⁻⁷ H/m (exact) | magnetic_constant | 1 H/m = 1 m kg s⁻² A⁻² |
| electric constant | ε₀ = 1/μ₀c² | 8.854 178 817...×10⁻¹² F/m | electric_constant | 1 F/m = 1 m⁻³ kg⁻¹ s⁴ A² |
| gravitational constant | G | 6.674 08(31)×10⁻¹¹ m³ kg⁻¹ s⁻² | gravitational_constant | 1 m³ kg⁻¹ s⁻² |
| Planck constant | h | 6.626 070 040(81)×10⁻³⁴ J s | planck_constant | 1 J s = 1 m² kg s⁻¹ |
| reduced Planck constant | ħ = h/2π | 1.054 571 800(13)×10⁻³⁴ J s | reduced_planck_constant | 1 J s = 1 m² kg s⁻¹ |
| elementary charge | e | 1.602 176 6208(98)×10⁻¹⁹ C | elementary_charge | 1 C = 1 s A |
| fine-structure constant | α = e²/4πε₀ħc = e²μ₀c/2h | 7.297 352 5664(17)×10⁻³ | fine_structure_constant | 1 |
| inverse fine-structure constant | α⁻¹ | 137.035 999 139(31) | inverse_fine_structure_constant | 1 |
| electron mass | m_e | 9.109 383 56(11)×10⁻³¹ kg | electron_mass | 1 kg |
| proton mass | m_p | 1.672 621 898(21)×10⁻²⁷ kg | proton_mass | 1 kg |
| muon mass | m_μ | 1.883 531 594(48)×10⁻²⁸ kg | muon_mass | 1 kg |
| tau mass | m_τ | 3.167 47(29)×10⁻²⁷ kg | tau_mass | 1 kg |
| neutron mass | m_n | 1.674 927 471(21)×10⁻²⁷ kg | neutron_mass | 1 kg |
| deuteron mass | m_d | 3.343 583 719(41)×10⁻²⁷ kg | deuteron_mass | 1 kg |
| triton mass | m_t | 5.007 356 665(62)×10⁻²⁷ kg | triton_mass | 1 kg |
| helion mass | m_h | 5.006 412 700(62)×10⁻²⁷ kg | helion_mass | 1 kg |
| α particle mass | m_α | 6.644 657 230(82)×10⁻²⁷ kg | alpha_particle_mass | 1 kg |
| Rydberg constant | R_∞ = α²m_e c/2h | 10 973 731.568 508(65) m⁻¹ | rydberg_constant | 1 m⁻¹ |
| Bohr radius | a₀ = α/4πR_∞ | 0.529 177 210 67(12)×10⁻¹⁰ m | bohr_radius | 1 m |
| Bohr magneton | μ_B = eħ/2m_e | 927.400 9994(57)×10⁻²⁶ J/T | bohr_magneton | 1 J/T = 1 m² A |
| Avogadro constant | N_A | 6.022 140 857(74)×10²³ mol⁻¹ | avogadro_constant | 1 mol⁻¹ |
| Faraday constant | F = N_A e | 96 485.332 89(59) C/mol | faraday_constant | 1 C/mol = 1 s A mol⁻¹ |
| molar gas constant | R | 8.314 4598(48) J/(mol K) | molar_gas_constant | 1 J/(mol K) = 1 m² kg s⁻² mol⁻¹ K⁻¹ |
| Boltzmann constant | k = R/N_A | 1.380 648 52(79)×10⁻²³ J/K | boltzmann_constant | 1 J/K = 1 m² kg s⁻² K⁻¹ |
| Stefan-Boltzmann constant | σ = π²k⁴/60 ħ³c² | 5.670 367(13)×10⁻⁸ W m⁻² K⁻⁴ sr⁻¹ | stefan_boltzmann_constant | 1 W m⁻² K⁻⁴ sr⁻¹ = 1 kg s⁻³ K⁻⁴ sr⁻¹ |
| magnetic flux quantum | φ₀ = h/2e | 2.067 833 831(13)×10⁻¹⁵ Wb | magnetic_flux_quantum | 1 Wb = 1 m² kg s⁻² A⁻¹ |
| Josephson constant | K_J = 2e/h | 483 597.8525(30)×10⁹ Hz/V | josephson_constant | 1 Hz/V = 1 m⁻² kg⁻¹ s² A |
| von Klitzing constant | R_K = h/e² | 25 812.807 4555(59) Ω | von_klitzing_constant | 1 Ω = 1 m² kg s⁻³ A⁻² |
| atomic mass unit | u | 1.660 538 86(28)×10⁻²⁷ kg | atomic_mass_unit | 1 kg |
| Hartree energy | E_h = e²/4πε₀a₀ | 4.359 744 650(54)×10⁻¹⁸ J | hartree_energy | 1 J = 1 m² kg s⁻² |
| conductance quantum | G₀ = 2e²/h | 7.748 091 7310(18)×10⁻⁵ S | conductance_quantum | 1 S = 1 m⁻² kg⁻¹ s³ A² |
| inverse conductance quantum | G₀⁻¹ | 12 906.403 7278(29) Ω | inverse_conductance_quantum | 1 Ω = 1 m² kg s⁻³ A⁻² |
| vacuum impedance | Z₀ = μ₀c | 376.730 313 461... Ω | vacuum_impedance | 1 Ω = 1 m² kg s⁻³ A⁻² |
| Nuclear magneton | μ_N = eħ/2m_p | 5.050 783 699(31)×10⁻²⁷ J/T | nuclear_magneton | 1 J/T = 1 m² A |
The following mathematical constants are implemented in benri/si/base.h. They can be used either as a constant or a symbol with benri::si::constant::NAME or benri::si::symbol::NAME.
| Name | Symbol | Value | benri name |
|---|---|---|---|
| Pi (Archimedes constant) | π | 3.141592653589... | pi |
| π/4 | quarter_pi | ||
| π/2 | half_pi | ||
| 2π | two_pi | ||
| Euler constant | e | 2.718281828459... | e |
| Golden ratio | φ | 1.618033988749... | phi |
| Euler Mascheroni constant | γ | 0.577215664901... | gamma |
| Square root of two | √2 | 1.414213562373... | root_two |
The following astronomical constants are implemented in benri/si/astronomic.h. They can be used either as a constant or a symbol with benri::si::constant::NAME or benri::si::symbol::NAME.
Warning: I could not find a good reference for these values. They might be wrong.
| Name | Symbol | Value | benri name | Conversion |
|---|---|---|---|---|
| Solar mass parameter | GM_S | 1.327 124 40×10²⁰ m³ s⁻² | 1 m³ s⁻² | |
| Solar luminosity | L_S | 3.939×10²⁶ W/sr | 1 W/sr = 1 | |
| Sun-Jupiter mass ratio | M_S/M_J | 1.047 348 644×10³ | 1 | |
| Sun-Earth mass ratio | M_S/M_E | 322 946.0487 | 1 | |
| Solar mass | M_S = (GM_S)G⁻¹ | 1.988 474 491×10³⁰ kg | 1 kg | |
| Jupiter mass | M_J = (GM_S)(M_S/M_J)⁻¹G⁻¹ | 1.898 579 334×10²⁷ kg | 1 kg | |
| Earth mass | M_E = (GM_S)(M_S/M_E)⁻¹G⁻¹ | 6.157 296 241×10²⁴ kg | 1 kg |
The following base dimensions are implemented in benri/impl/dimensions.h. They can be accessed with benri::dimension::NAME.
| Name | Symbol | benri name |
|---|---|---|
| length | L | L |
| mass | M | M |
| time, duration | T | T |
| electric current | I | I |
| thermodynamic temperature | Θ | H |
| amount of substance | N | N |
| luminous intensity | J | J |
| angle, plane angle | A | A |
| number of radioactive events, counts | C | C |
| helper for sievert units | S | S |
| amount of data, bits, bytes | B | B |
| screen position | X | X |
| degree Celsius | °C | degC |
| degree Fahrenheit | °F | degF |
The following derived dimensions are implemented in benri/impl/dimensions.h. They can be accessed with benri::dimension::NAME.
| Name | benri name |
|---|---|
| length | L |
The following SI prefixes are implemented in benri/si/base.h. They can be accessed with benri::dimension::NAME.
| Name | Symbol | Value | benri name |
|---|---|---|---|
| yocto | y | 10⁻²⁴ | yocto |
| zepto | z | 10⁻²¹ | zepto |
| atto | a | 10⁻¹⁸ | atto |
| femto | f | 10⁻¹⁵ | femto |
| pico | p | 10⁻¹² | pico |
| nano | n | 10⁻⁹ | nano |
| micro | μ | 10⁻⁶ | micro |
| milli | m | 10⁻³ | milli |
| centi | c | 10⁻² | centi |
| deci | d | 10⁻¹ | deci |
| one | 10⁰ | one | |
| deca | da | 10¹ | deca |
| hecto | h | 10² | hecto |
| kilo | k | 10³ | kilo |
| mega | M | 10⁶ | mega |
| giga | G | 10⁹ | giga |
| tera | T | 10¹² | tera |
| peta | P | 10¹⁵ | peta |
| exa | E | 10¹⁸ | exa |
| zetta | Z | 10²¹ | zetta |
| yotta | Y | 10²⁴ | yotta |
The following computer science prefixes are implemented in benri/si/data.h. They can be accessed with benri::dimension::NAME.
| Name | Symbol | Value | benri name |
|---|---|---|---|
| kibi | ki | 2¹⁰ | kibi |
| mebi | Mi | 2²⁰ | mebi |
| gibi | Gi | 2³⁰ | gibi |
| tebi | Ti | 2⁴⁰ | tebi |
| pebi | Pi | 2⁵⁰ | pebi |
| exbi | Ei | 2⁶⁰ | exbi |
| zebi | Zi | 2⁷⁰ | zebi |
| yobi | Yi | 2⁸⁰ | yobi |