Skip to content
Snippets Groups Projects
UnitSystem.md 6.79 KiB

Description how to build units witht the D-SI format is here.

SI base units of measurement (platinum units)

D-SI Identifyer D-SI Medal SI name SI symbol SI Reference
\metre platinum meter m [1, Table 2]
\kilogram platinum kilogram kg [1, Table 2]
\second platinum second s [1, Table 2]
\ampere platinum ampere A [1, Table 2]
\kelvin platinum kelvin K [1, Table 2]
\mole platinum mole mol [1, Table 2]
\candela platinum candela cd [1, Table 2]

D-SI additional platinum units of measurement

D-SI Identifyer D-SI Medal SI name SI symbol SI Reference
\one platinum one 1 [1, Sec. 2.2.1]
\day platinum day d [1, Table 8]
\hour platinum hour h [1, Table 8]
\minute platinum minute min [1, Table 8]
\degree platinum degree ° [1, Table 8]
\arcminute platinum arcminute [1, Table 8]
\arcsecond platinum arcsecond [1, Table 8]

SI derived units of measurement

D-SI Identifyer D-SI Medal SI name SI symbol SI base unit expression D-SI base unit expression SI Reference
\gram gold gram(a g 10-3 kg \kilogram [1, Sec. 3]
\radian gold radian rad m/m \metre\metre\tothe{-1} [1, Table 4]
\steradian gold steradian sr m2/m2 \metre\tothe{2}\metre\tothe{-2} [1, Table 4]
\hertz gold hertz Hz s-1 \second\tothe{-1} [1, Table 4]
\newton gold newton N m kg s-2 \metre\kilogram\second\tothe{-2} [1, Table 4]
\pascal gold pascal Pa m-1 kg s-2 \metre\tothe{-1}\kilogram\second\tothe{-2} [1, Table 4]
\joule gold joule J m2 kg s-2 \metre\tothe{2}\kilogram\second\tothe{-2} [1, Table 4]
\watt gold watt W m2 kg s-3 \metre\tothe{2}\kilogram\second\tothe{-3} [1, Table 4]
\coulomb gold coulomb C s A \second\ampere [1, Table 4]
\volt gold volt V m2 kg s-3 A-1 \metre\tothe{2}\kilogram\second\tothe{-3}\ampere\tothe{-1} [1, Table 4]
\farad gold farad F m-2 kg-1 s4 A2 \metre\tothe{-2}\kilogram\tothe{-1}\second\tothe{4}\ampere\tothe{2} [1, Table 4]
\ohm gold ohm Ω m2 kg s-3 A-2 \metre\tothe{2}\kilogram\second\tothe{-3}\ampere\tothe{-2} [1, Table 4]
\siemens gold siemens S m-2 kg-1 s3 A2 \metre\tothe{-2}\kilogram\tothe{-1}\second\tothe{3}\ampere\tothe{2} [1, Table 4]
\weber gold weber Wb m2 kg s-2 A-1 \metre\tothe{2}\kilogram\second\tothe{-2}\ampere\tothe{-1} [1, Table 4]
\tesla gold tesla T kg s-2 A-1 \kilogram\second\tothe{-2}\ampere\tothe{-1} [1, Table 4]
\henry gold henry H m2 kg s-2 A-2 \metre\tothe{2}\kilogram\second\tothe{-2}\ampere\tothe{-2} [1, Table 4]
\degreecelsius gold degree Celsius °C K \kelvin [1, Table 4]
\lumen gold lumen lm m2 m-2 cd \metre\tothe{2}\metre\tothe{-2}\candela [1, Table 4]
\lux gold lux lx m-2 cd \metre\tothe{-2}\candela [1, Table 4]
\becquerel gold becquerel Bq s-1 \second\tothe{-1} [1, Table 4]
\sievert gold sievert Sv m2 s-2 \metre\tothe{2}\second\tothe{-2} [1, Table 4]
\gray gold gray Gy m2 s-2 \metre\tothe{2}\second\tothe{-2} [1, Table 4]
\katal gold katal kat s-1 mol \second\tothe{-1}\mole [1, Table 4]
\bit gold bit bit 1 \one [1, p. 143]
\byte gold byte B 1 \one [1, p. 143]
\ppm gold parts per million ppm 1 \one [1, Sec. 5.4.7]
\percent gold percent % 1 \one [1, Sec. 5.4.7]

Non-SI units of measurement allowed with the SI

D-SI Identifyer D-SI Medal SI name SI symbol SI base unit expression D-SI base unit expression SI Reference
\hectare silver hectare ha m2 \metre\tothe{2} [1, Table 8]
\litre silver litre l m3 \metre\tothe{3} [1, Table 8]
\tonne silver tonne t kg \kilogram [1, Table 8]
\electronvolt silver electronvolt eV m2 kg s-2 \metre\tothe{2}\kilogram\second\tothe{-2} [1, Table 8]
\dalton silver dalton Da kg \kilogram [1, Table 8]
\astronomicalunit silver astronomical Unit au m \metre [1, Table 8]
\neper silver neper Np 1 \one [1, Table 8]
\bel silver bel B 1 \one [1, Table 8]
\decibel silver decibel(b dB 1 \one [1, Table 8]

SI prefixes decimal

D-SI Identifyer D-SI Medal SI name SI symbol Multiplyer SI Reference
\deca gold deca(a da 10 [1, Table 7]
\hecto gold hecto(a h 100 [1, Table 7]
\kilo gold kilo(a,b k 1000 [1, Table 7]
\mega gold mega(a M 1000000 [1, Table 7]
\giga gold giga(a G 1000000000 [1, Table 7]
\tera gold tera(a T 1000000000000 [1, Table 7]
\peta gold peta(a P 1000000000000000 [1, Table 7]
\exa gold exa(a E 1000000000000000000 [1, Table 7]
\zetta gold zetta(a Z 1000000000000000000000 [1, Table 7]
\yotta gold yotta(a Y 1000000000000000000000000 [1, Table 7]
\ronna gold ronna R 1000000000000000000000000000 [2, Resolution 3]
\quetta gold quetta Q 1000000000000000000000000000000 [2, Resolution 3]
\deci gold deci(a ,b d 0.1 [1, Table 7]
\centi gold centi(a c 0.01 [1, Table 7]
\milli gold milli(a m 0.001 [1, Table 7]
\micro gold micro(a μ 0.000001 [1, Table 7]
\nano gold nano(a n 0.000000001 [1, Table 7]
\pico gold pico(a p 0.000000000001 [1, Table 7]
\femto gold femto(a f 0.000000000000001 [1, Table 7]
\atto gold atto(a a 0.000000000000000001 [1, Table 7]
\zepto gold zepto(a z 0.000000000000000000001 [1, Table 7]
\yocto gold yocto(a y 0.000000000000000000000001 [1, Table 7]
\ronto gold ronto r 0.000000000000000000000000001 [2, Resolution 3]
\quecto gold quecto q 0.000000000000000000000000000001 [2, Resolution 3]

SI prefixes binary

D-SI Identifyer D-SI Medal SI name SI symbol Multiplyer SI Reference
\kibi gold kibi Ki 1024 [1, p. 143]
\mebi gold mebi Mi 1048576 [1, p. 143]
\gibi gold gibi Gi 1073741824 [1, p. 143]
\tebi gold tebi Ti 1099511627776 [1, p. 143]
\pebi gold pebi Pi 1125899906842624 [1, p. 143]
\exbi gold exbi Ei 1152921504606846976 [1, p. 143]
\zebi gold zebi Zi 1180591620717411303424 [1, p. 143]
\yobi gold yobi Yi 1208925819614629174706176 [1, p. 143]

Operators for combining units

D-SI Identifyer Description Examples D-SI Medal
Multiplication: simply append one unit to another \metre\metre PLATINUM
\tothe{n} Exponent: following a unit where n is an integer or (+-)0.5 \metre\tothe{2}, \volt\tothe{-0.5} PLATINUM
\per Division: All units on the left side of the operator devided by all units on its right side \metre\per\metre SILVER

References

[1] BIPM: 9th edition SI brochure (englisch): https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf

[2] BIPM: List of Resolutions for the 27th meeting of the General Conference on Weights and Measures 2022

Home

Creative Commons License
This documentation is licensed under a Creative Commons Attribution 4.0 International License.