Tables and lists

In this section we give a tabular overview of all available prefixes, units and conversions in the code.

Unit prefixes

Unit prefixes

Symbol

Name

Magnitude

Y

yotta

\(10^{24}\)

Z

zetta

\(10^{21}\)

E

exa

\(10^{18}\)

P

peta

\(10^{15}\)

T

tera

\(10^{12}\)

G

giga

\(10^{9}\)

M

mega

\(10^{6}\)

k

kilo

\(10^{3}\)

h

hecto

\(10^{2}\)

da

deka

\(10^{1}\)

d

deci

\(10^{-1}\)

c

centi

\(10^{-2}\)

m

milli

\(10^{-3}\)

u

micro

\(10^{-6}\)

n

nano

\(10^{-9}\)

p

pico

\(10^{-12}\)

f

femto

\(10^{-15}\)

a

atto

\(10^{-18}\)

z

zepto

\(10^{-21}\)

y

yocto

\(10^{-24}\)

Base units

Base units

Symbol

Name

Prefixes

m

meter

all

g

gram

all

s

second

all

K

Kelvin

all

C

Coulomb

all

cd

candela

all

mol

mole

all

rad

radian

mrad

Standard units

Standard units

Symbol

Name

Definition

Prefixes

au, AU

astr. unit

149597.870691*Mm

ly

light-year

[c]*yr_j

kly, Mly, Gly

pc

parsec

3.0857e16*m

kpc, Mpc, Gpc, Tpc

Ao

Angstrom

1e-10*m

mAo, kAo

twip

US twip

17.6388888*um

mil

US mil

25.4*um

p

US point

352.778*um

pi

US pica

4.233*mm

in

US inch

25.4*mm

ft

US foot

0.3048*m

yd

US yard

0.9144*m

mi

US mile

1.609344*km

le

US league

4.828032*km

u, amu

atomic mass unit

g/[N_0]

Da

Dalton

u

t

tonne

1e3*kg

kt, mt, Gt

oz

US ounce

28.349523125*g

lb

US pound

453.59237*g

ton

US ton

907.18474*kg

min

minute

60*s

h

hour

60*min

day

day

24*h

yr_t

tropical year

365.24219*day

kyr_t, myr_t, Gyr_t

yr_j

Julian year

365.25*day

kyr_j, myr_j, Gyr_j

yr_g

Gregorian year

365.2425*day

kyr_g, myr_g, Gyr_g

yr

year

yr_j

kyr, myr, Gyr

deg

angle degree

2*[pi]*rad/360

‘

angle minute

deg/60

‘’

angle second

‘/60

ar

are

100*m2

car, dar, daar, har

acre

US acre

4046.873*m2

l, L

liter

dm3

all, all

floz

US fluid ounce

29.5735295625*mL

pt

US pint

473.176473*mL

gal

US gallon

3.785411784*L

bbl

US barrel

158.987294928*L

J

Joule

N*m

all

eV

electronvolt

[e]*V

all

erg

erg

dyn*cm

cal

calorie

4.184*J

kcal, Mcal

Cal

Calorie

kcal

Ha, E_h

Hartree

4.3597447222071e-18*J

kHa, MHa, kE_h, ME_h

Pa

Pascal

N/m2

all

atm

atm. pressure

101325*Pa

bar

bar

100*kPa

Mbar, kbar, dbar, cbar, mbar

Ba

Barye

0.1*Pa

N

Newton

kg*m/s2

all

dyn

dyne

g*cm/s2

all

Gy

Gray

J/kg

Sv

Sivert

J/kg

T

Tesla

Wb/m2

all

G

Gauss

1e-4*T

all

Hz

Hertz

s-1

all

Bq

Becquerel

s-1

W

Watt

J/s

all

hp

horse power

745.7*W

mph

US miles per hour

0.44704*m/s

kn

knot

0.514444*m/s

Mx

Maxwell

1e-8*Wb

Wb

Weber

V*s

P

Poise

g/(cm*s)

cP

St

Stokes

cm2/s

cSt

Ka

Kayser

cm-1

D

Debye

3.33564e-30*C*m

all

Oe

Oersted

1e3*A/(4*[pi]*m)

Gal

Gal

cm/s2

Bi

Biot

10*A

Rad

radiation dose

0.01*Gy

sr

steradian

rad2

lm

lumen

cd*sr

A

Ampere

C/s

all

H

Henry

Wb/A

all

Ohm

Ohm

V/A

all

V

Volt

J/C

all

lx

lux

lm/m2

F

Farad

C/V

all

S

Siemens

Ohm-1

all

kat

katal

mol/s

all

%

percent

1e-2

ppth

promile

1e-3

statC

statcoulomb GBU

dyn1:2*cm

Fr

Franklin GBU

statC

esu

el.stat. unit GBU

statC

statA

statampere GBU

statC/s

statV

statvolt GBU

erg/statC

statG

Gauss GBU

cm-1:2*g1:2/s

statOe

Oersted GBU

cm-1:2*g1:2/s

abC

abcoulomb GBU

g1:2*cm1:2

abA

abampere GBU

g1:2*cm1:2/s

abBi

Biot GBU

abA

abH

Henry GBU

nH

abOhm

Ohm GBU

cm/s

Physical constants

Physical constants

Symbol

Name

Definition

[alpha]

fine str. const.

7.29735256e-3

[euler]

Euler’s num.

2.718282

[N_0]

Avogadro’s num.

6.02214076e23

[pi]

pi

3.1415926

[a_0]

Bohr radius

5.29177210903e-11*m

[c]

speed of light

299792458*m/s

[e]

elem. charge

1.602176634e-19*C

[eps_0]

permit. of vac.

8.854187817e-12*F/m

[G]

grav. const.

6.67259e-11*m3/(kg*s2)

[g]

grav. accel.

9.80665*m/s2

[h]

Planck const.

6.6260755e-34*J*s

[hbar]

Reduced Pl. con.

[h]/(2*[pi])

[H_0]

Hubble const.

67.8*km/(s*Mpc)

[k], [k_B]

Boltzmann const.

1.380658e-23*J/K

[k_e]

Coulomb const.

8.9875517923e9*kg*m3/(s4*A2)

[L_sol]

Solar luminosity

3.826e33*erg/s

[M_sol]

Solar mass

1.98847e30*kg

[mu_0]

permeab. of vac.

4*[pi]*1e-7*N/A2

[mu_B]

Bohr magneton

1.67262e-24*g

[m_e]

electron mass

9.1093837015e-31*kg

[m_p]

proton mass

1.6726231e-24*g

[m_n]

neutron mass

1.6749286e-24*g

[R_inf]

Rydberg constant

1.09737e5/cm

[R_sol]

Solar radius

6.9558e10*cm

[sigma]

Stef.-Boltz. const.

5.67037e-8*W/(m2*K4)

[N_A]

Avogadro’s const.

[N_0]/mol

[se]

elem. charge GBU

4.80320427e-10*statC

[smu_B]

Bohr magneton GBU

9.274010078e-21*erg/statG

Logarithmic units

Logarithmic units

Symbol

Name

Prefixes

PR

Power ratio

AR

Amplitude ratio

Np

Nepers

cNp, dNp

B

Bel

dB

Bm, BmW

bel-milliwatt

dBm, dBmW

BW

bel-watt

dBW

BV

bel-volt

dBV

BuV

bel-microvolt

dBuV

BA

bel-amps

dBA

BuA

bel-microamps

dBuA

BOhm

bel-ohms

dBOhm

BSPL

bel-SPL (Pa)

dBSPL

BSIL

bel-SIL (W/m2)

dBSIL

BSWL

bel-SWL (W)

dBSWL

Temperature units

Temperature units

Symbol

Name

Prefixes

K

Kelvin

all

Cel

degree Celsius

degR

degree Rankine

degF

degree Fahrenheit

Unit systems

Units of physical quantities in SI system

Symbol

Name

Definition

Dimensions

#SADO

SI.AbsorbedDose

Gy

[2, 0, -2, 0, 0, 0, 0, 0]

#SACC

SI.Acceleration

m/s2

[1, 0, -2, 0, 0, 0, 0, 0]

#SACT

SI.Action

J*s

[2, 1, -1, 0, 0, 0, 0, 0]

#SAOS

SI.AmountOfSubstance

mol

[0, 0, 0, 0, 0, 0, 1, 0]

#SAFR

SI.AngularFrequency

rad/s

[0, 0, -1, 0, 0, 0, 0, 1]

#SCAP

SI.Capacitance

F

[-2, -1, 2, 0, 2, 0, 0, 0]

#SCAC

SI.CatalyticActivity

kat

[0, 0, -1, 0, 0, 0, 1, 0]

#SCON

SI.Conductance

S

[-2, -1, 1, 0, 2, 0, 0, 0]

#SDVI

SI.DynamicViscosity

Pa*s

[-1, 1, -1, 0, 0, 0, 0, 0]

#SECU

SI.ElectricCurrent

A

[0, 0, -1, 0, 1, 0, 0, 0]

#SECH

SI.ElectricCharge

C

[0, 0, 0, 0, 1, 0, 0, 0]

#SECD

SI.ElectricChargeDensity

C/m3

[-3, 0, 0, 0, 1, 0, 0, 0]

#SEPO

SI.ElectricPotential

V

[2, 1, -2, 0, -1, 0, 0, 0]

#SEDM

SI.ElectricDipoleMoment

C*m

[1, 0, 0, 0, 1, 0, 0, 0]

#SEDF

SI.ElectricDisplField

C*m2

[2, 0, 0, 0, 1, 0, 0, 0]

#SEFI

SI.ElectricField

V/m

[1, 1, -2, 0, -1, 0, 0, 0]

#SEFG

SI.ElectricFieldGradient

V/m2

[0, 1, -2, 0, -1, 0, 0, 0]

#SEFL

SI.ElectricFlux

V*m

[3, 1, -2, 0, -1, 0, 0, 0]

#SEPL

SI.ElectricPolarizability

m2/J

[0, -1, 2, 0, 0, 0, 0, 0]

#SEFO

SI.ElectromotiveForce

V

[2, 1, -2, 0, -1, 0, 0, 0]

#SENE

SI.Energy

J

[2, 1, -2, 0, 0, 0, 0, 0]

#SEDO

SI.EquivalentDose

Sv

[2, 0, -2, 0, 0, 0, 0, 0]

#SFOR

SI.Force

N

[1, 1, -2, 0, 0, 0, 0, 0]

#SFRE

SI.Frequency

Hz

[0, 0, -1, 0, 0, 0, 0, 0]

#SHEA

SI.Heat

J

[2, 1, -2, 0, 0, 0, 0, 0]

#SILL

SI.Illuminance

lx

[-2, 0, 0, 0, 0, 1, 0, 2]

#SIMP

SI.Impedance

Ohm

[2, 1, -1, 0, -2, 0, 0, 0]

#SIND

SI.Inductance

H

[2, 1, 0, 0, -2, 0, 0, 0]

#SIRR

SI.Irradience

W/m2

[0, 1, -3, 0, 0, 0, 0, 0]

#SKVI

SI.KinematicViscosity

m2/s

[2, 0, -1, 0, 0, 0, 0, 0]

#SLEN

SI.Length

m

[1, 0, 0, 0, 0, 0, 0, 0]

#SLIN

SI.LuminousIntensity

cd

[0, 0, 0, 0, 0, 1, 0, 0]

#SLFL

SI.LuminousFlux

lm

[0, 0, 0, 0, 0, 1, 0, 2]

#SMFI

SI.MagneticField

A/m

[-1, 0, -1, 0, 1, 0, 0, 0]

#SMFL

SI.MagneticFlux

Wb

[2, 1, -1, 0, -1, 0, 0, 0]

#SMFD

SI.MagneticFluxDensity

T

[0, 1, -1, 0, -1, 0, 0, 0]

#SMDM

SI.MagneticDipoleMoment

J/T

[2, 0, -1, 0, 1, 0, 0, 0]

#SMAG

SI.Magnetizability

J/T2

[2, -1, 0, 0, 2, 0, 0, 0]

#SMAS

SI.Mass

kg

[0, 1, 0, 0, 0, 0, 0, 0]

#SMOM

SI.Momentum

kg*m/s

[1, 1, -1, 0, 0, 0, 0, 0]

#SPER

SI.Permittivity

F/m

[-3, -1, 2, 0, 2, 0, 0, 0]

#SPAN

SI.PlaneAngle

rad

[0, 0, 0, 0, 0, 0, 0, 1]

#SPOW

SI.Power

W

[2, 1, -3, 0, 0, 0, 0, 0]

#SPRE

SI.Pressure

Pa

[-1, 1, -2, 0, 0, 0, 0, 0]

#SRFL

SI.RadiantFlux

W

[2, 1, -3, 0, 0, 0, 0, 0]

#SRAD

SI.Radioactivity

Bq

[0, 0, -1, 0, 0, 0, 0, 0]

#SREA

SI.Reactance

Ohm

[2, 1, -1, 0, -2, 0, 0, 0]

#SRES

SI.Resistance

Ohm

[2, 1, -1, 0, -2, 0, 0, 0]

#SREI

SI.Resistivity

Ohm*m

[3, 1, -1, 0, -2, 0, 0, 0]

#SSAN

SI.SolidAnge

sr

[0, 0, 0, 0, 0, 0, 0, 2]

#SSTR

SI.Stress

Pa

[-1, 1, -2, 0, 0, 0, 0, 0]

#STEM

SI.Temperature

K

[0, 0, 0, 1, 0, 0, 0, 0]

#STIM

SI.Time

s

[0, 0, 1, 0, 0, 0, 0, 0]

#SVEL

SI.Velocity

m/s

[1, 0, -1, 0, 0, 0, 0, 0]

#SVOL

SI.Voltage

V

[2, 1, -2, 0, -1, 0, 0, 0]

#SWAV

SI.Wavenumber

m-1

[-1, 0, 0, 0, 0, 0, 0, 0]

#SWEI

SI.Weight

N

[1, 1, -2, 0, 0, 0, 0, 0]

#SWOR

SI.Work

J

[2, 1, -2, 0, 0, 0, 0, 0]

#SBMA

SI.BohrMagneton

[mu_B]

[0, 1, 0, 0, 0, 0, 0, 0]

#SCCO

SI.CoulombConst

[k_e]

[3, 1, -2, 0, -2, 0, 0, 0]

#SELC

SI.ElementaryCharge

[e]

[0, 0, 0, 0, 1, 0, 0, 0]

#SPBV

SI.PermeabilityVacuum

[mu_0]

[1, 1, 0, 0, -2, 0, 0, 0]

#SPTV

SI.PermittivityVacuum

[eps_0]

[-3, -1, 2, 0, 2, 0, 0, 0]
Units of physical quantities in CGS system

Symbol

Name

Definition

#CADO

CGS.AbsorbedDose

Rad

#CACC

CGS.Acceleration

Gal

#CDVI

CGS.DynamicViscosity

P

#CECU

CGS.ElectricCurrent

Bi

#CENE

CGS.Energy

erg

#CFOR

CGS.Force

dyn

#CKVI

CGS.KinematicViscosity

St

#CLEN

CGS.Length

cm

#CMFI

CGS.MagneticField

Oe

#CMFL

CGS.MagneticFlux

Mx

#CMFD

CGS.MagneticFluxDensity

G

#CMAS

CGS.Mass

g

#CPOW

CGS.Power

erg/s

#CPRE

CGS.Pressure

Ba

#CTIM

CGS.Time

s

#CVEL

CGS.Velocity

cm/s

#CWAV

CGS.Wavenumber

Ka

#CBMA

CGS.BohrMagneton

[mu_B]

#CCCO

CGS.CoulombConst

[k_e]

#CELC

CGS.ElementaryCharge

[e]

#CPBV

CGS.PermeabilityVacuum

[mu_0]

#CPTV

CGS.PermittivityVacuum

[eps_0]
Units of physical quantities in AU system

Symbol

Name

Definition

#AACT

AU.Action

[hbar]

#AECU

AU.ElectricCurrent

[e]*E_h/[hbar]

#AECH

AU.ElectricCharge

[e]

#AECD

AU.ElectricChargeDensity

[e]/[a_0]3

#AEPO

AU.ElectricPotential

E_h/[e]

#AEDM

AU.ElectricDipoleMoment

[e]*[a_0]

#AEFI

AU.ElectricField

E_h/([e]*[a_0])

#AEFG

AU.ElectricFieldGradient

E_h/([e]*[a_0]2)

#AEPL

AU.ElectricPolarizability

[e]2*[a_0]2/E_h

#AENE

AU.Energy

E_h

#AFOR

AU.Force

E_h/[a_0]

#AIRR

AU.Irradience

E_h2/([hbar]*[a_0]2)

#ALEN

AU.Length

[a_0]

#AMFD

AU.MagneticFluxDensity

[hbar]/([e]*[a_0]2)

#AMDM

AU.MagneticDipoleMoment

[hbar]*[e]/[m_e]

#AMAG

AU.Magnetizability

[e]2*[a_0]2/[m_e]

#AMAS

AU.Mass

[m_e]

#AMOM

AU.Momentum

[hbar]/[a_0]

#APER

AU.Permittivity

[e]2/([a_0]*E_h)

#APRE

AU.Pressure

E_h/[a_0]3

#ATIM

AU.Time

[hbar]/E_h

#AVEL

AU.Velocity

[a_0]*E_h/[hbar]

#ABMA

AU.BohrMagneton

[mu_B]

#ACCO

AU.CoulombConst

[k_e]

#AELC

AU.ElementaryCharge

[e]

#APBV

AU.PermeabilityVacuum

[mu_0]

#APTV

AU.PermittivityVacuum

[eps_0]