The International System of Units (SI)

The 7 SI Base Units

The seven SI base units are:

  • metre (m) — length
  • kilogram (kg) — mass
  • second (s) — time
  • ampere (A) — electric current
  • kelvin (K) — thermodynamic temperature
  • mole (mol) — amount of substance
  • candela (cd) — luminous intensity

The SI is the globally agreed metric system adopted by the CGPM. Since the 2019 redefinition, the base units are defined by fixed values of fundamental constants (e.g., h, e, k, NA) for long-term stability and universal realization.

The 7 SI base units with names and symbols
SI base units
Base quantity Unit name Symbol
lengthmetrem
masskilogramkg
timeseconds
electric currentampereA
thermodynamic temperaturekelvinK
amount of substancemolemol
luminous intensitycandelacd
Common SI derived units with special names and base-unit expressions
SI derived units (selected)
Derived quantity Special name Symbol In base units
plane angleradianradrad = m/m = 1
solid anglesteradiansrsr = m2/m2 = 1
frequencyhertzHzHz = s−1
forcenewtonNN = kg·m·s−2
pressure, stresspascalPaPa = N·m−2 = kg·m−1·s−2
energy, workjouleJJ = N·m = kg·m2·s−2
powerwattWW = J·s−1 = kg·m2·s−3
electric chargecoulombCC = A·s
electric potentialvoltVV = W·A−1 = kg·m2·s−3·A−1
capacitancefaradFF = C·V−1 = kg−1·m−2·s4·A2
resistanceohmΩΩ = V·A−1 = kg·m2·s−3·A−2
conductancesiemensSS = Ω−1 = kg−1·m−2·s3·A2
magnetic fluxweberWbWb = V·s = kg·m2·s−2·A−1
magnetic flux densityteslaTT = Wb·m−2 = kg·s−2·A−1
inductancehenryHH = Wb·A−1 = kg·m2·s−2·A−2
Celsius temperaturedegree Celsius°CΔ°C = ΔK
luminous fluxlumenlmlm = cd·sr
illuminanceluxlxlx = lm·m−2

Writing SI Correctly

  • Use a space between number and unit: 25 °C, 10 N·m (except for plane/solid angle symbols).
  • Unit symbols are case-sensitive and do not take a period: m, kg, Pa, °C.
  • Use · (middle dot) or a space for multiplication and negative exponents for division: N·m, kg·m·s−2.
  • Radian (rad) and steradian (sr) are dimensionless derived units with special names.

2019 SI redefinition: The base units are tied to exact values of fundamental constants (Planck constant h, elementary charge e, Boltzmann constant k, Avogadro constant NA), making SI realizations device-independent.


Supplements

Reference

  • ISO 80000-1 — Quantities and Units: General