While the International System of Units (SI) is used throughout the world in all fields, many non-SI units continue to be used in the scientific, technical, and commercial literature. Some units are deeply embedded in history and culture, and their use has not been entirely replaced by their SI alternatives. The authority behind the SI system, the General Conference on Weights and Measures, recognised and acknowledged such traditions by compiling a list of non-SI units accepted for use with SI.[1]
Some units of time, angle, and legacy non-SI units have a long history of use. Most societies have used the solar day and its non-decimal subdivisions as a basis of time and, unlike the foot or the pound, these were the same regardless of where they were being measured. The radian, being 1/2π of a revolution, has mathematical advantages but is rarely used for navigation. Further, the units used in navigation around the world are similar. The tonne, litre, and hectare were adopted by the CGPM in 1879 and have been retained as units that may be used alongside SI units, having been given unique symbols. The catalogued units are given below.[2]
Most of these, in order to be converted to the corresponding SI unit, require conversion factors that are not powers of ten. Some common examples of such units are the customary units of time, namely the minute (conversion factor of 60 s/min, since 1 min = 60 s), the hour (3600 s), and the day (86400 s); the degree (for measuring plane angles, 1° = π⁄180 rad); and the electronvolt (a unit of energy, 1 eV = 1.602176634×10−19 J).[2]
This is a list of units that are not defined as part of the International System of Units (SI) but are otherwise mentioned in the SI Brochure,[2] listed as being accepted for use alongside SI-units, or for explanatory purposes.
Name | Symbol | Quantity | Value in SI units |
---|---|---|---|
minute | min | time | 1 min = 60 s |
hour | h | 1 h = 60 min = 3600 s | |
day | d | 1 d = 24 h = 1440 min = 86400 s | |
astronomical unit | au | length | 1 au = 149597870700 m |
degree | ° | plane angle and phase angle | 1° = (π⁄180) rad |
arcminute | ′ | 1′ = (1⁄60)° = (π⁄10800) rad | |
arcsecond | ″ | 1″ = (1⁄60)′ = (1⁄3600)° = (π⁄648000) rad | |
hectare | ha | area | 1 ha = 1 hm2 = 10000 m2 |
litre | l, L | volume | 1 L = 1 dm3 = 1000 cm3 = 0.001 m3 |
tonne | t | mass | 1 t = 1 Mg = 1000 kg |
dalton | Da | 1 Da = 1.66053906892(52)×10−27 kg[3][note 1] | |
electronvolt | eV | energy | 1 eV = 1.602176634×10−19 J[4] |
neper | Np | logarithmic ratio quantity | 1 Np = 1 |
bel, decibel | B, dB | — |
The SI prefixes can be used with several of these units, but not, for example, with the non-SI units of time.
The following table lists units that are effectively defined in sidenotes and footnotes in the 9th SI brochure. Units that are mentioned without a definition or that occur in historical material recorded in the appendices are not included.
Name | Symbol | Quantity | Equivalent official unit |
---|---|---|---|
gal[note 2] | Gal | acceleration | 1 Gal = 1 cm/s2 = 0.01 m/s2 |
unified atomic mass unit[note 3] | u | mass | 1 u = 1 Da |
volt-ampere reactive | var | reactive power | 1 var = 1 VA |
With the publication of each edition of the SI brochure, the list of non-SI units listed in tables changed compared to the preceding SI brochures.[5] The table below compares the status of each unit for which the status has changed between editions of the SI Brochure.
Name | Symbol | 1st–3rd SI Brochures | 4–6th SI Brochures | 7th SI Brochure | 8th SI Brochure | 9th SI Brochure |
---|---|---|---|---|---|---|
astronomical unit | au[note 4] | accepted | omitted | accepted | accepted | accepted |
parsec | pc | accepted | omitted | omitted | omitted | omitted |
neper | Np | omitted | omitted | accepted | listed | accepted |
bel | B | omitted | omitted | accepted | listed | accepted |
decibel | dB | omitted | omitted | omitted | listed | accepted |
unified atomic mass unit | u | accepted | accepted | accepted | accepted | footnote |
dalton | Da | omitted | omitted | footnote | accepted | accepted |
natural unit (n.u.) of speed | c0 | omitted | omitted | omitted | listed | omitted |
n.u. of action | ħ | omitted | omitted | omitted | listed | omitted |
n.u. of mass | me | omitted | omitted | omitted | listed | omitted |
n.u. of time | ħ⁄(mec02) | omitted | omitted | omitted | listed | omitted |
atomic unit (a.u.) of charge | e | omitted | omitted | omitted | listed | omitted |
a.u. of mass | me | omitted | omitted | omitted | listed | omitted |
a.u. of action | ħ | omitted | omitted | omitted | listed | omitted |
a.u. of length | a0 | omitted | omitted | omitted | listed | omitted |
a.u. of energy | Eh | omitted | omitted | omitted | listed | omitted |
a.u. of time | ħ⁄Eh | omitted | omitted | omitted | listed | omitted |
nautical mile | M | temporary | temporary | temporary | listed | omitted |
knot | kn | temporary | temporary | temporary | listed | omitted |
ångström | Å | temporary | temporary | temporary | listed | omitted |
are | a | temporary | temporary | temporary | omitted | omitted |
hectare | ha | temporary | temporary | temporary | accepted | accepted |
barn | b | temporary | temporary | temporary | listed | omitted |
bar | bar | temporary | temporary | temporary | listed | omitted |
standard atmosphere | atm | temporary | listed | listed | omitted | omitted |
gal | Gal | temporary | temporary | listed | listed | footnote |
curie | Ci | temporary | temporary | listed | omitted | omitted |
roentgen | R | temporary | temporary | listed | omitted | omitted |
rad | rad | temporary | temporary | listed | omitted | omitted |
rem | rem | omitted | temporary | listed | omitted | omitted |
erg | erg | listed | listed | listed | listed | omitted |
dyne | dyn | listed | listed | listed | listed | omitted |
poise | P | listed | listed | listed | listed | omitted |
stokes | st | listed | listed | listed | listed | omitted |
maxwell | Mx | listed | listed | listed | listed | omitted |
gauss | G | listed | listed | listed | listed | omitted |
ørsted | Oe | listed | listed | listed | listed | omitted |
phot | ph | listed | listed | listed | listed | omitted |
fermi | listed | listed | listed | omitted | omitted | |
metric carat | listed | listed | listed | omitted | omitted | |
torr | Torr | listed | listed | listed | omitted | omitted |
kilogram-force | kgf | listed | listed | omitted | omitted | omitted |
calorie | cal | listed | listed | listed | omitted | omitted |
micron | μ | listed | listed | listed | omitted | omitted |
x-unit | xu | listed | listed | omitted | omitted | omitted |
stilb | sb | listed | listed | omitted | omitted | omitted |
gamma (Mass) | γ | listed | listed | listed | omitted | omitted |
γ (magnetic flux density) | γ | listed | listed | omitted | omitted | omitted |
lambda | λ | listed | listed | omitted | omitted | omitted |
jansky | Jy | omitted | omitted | listed | omitted | omitted |
millimetre of mercury | mmHg | omitted | omitted | omitted | listed | omitted |
In this table, the status descriptions have the following meanings: