The 7 SI base units — what they are and how they are defined

Fundamentals 閱讀 5 min

A quick reference to the seven base units of the International System of Units.

The modern metric system has seven base units. Every other unit you encounter is either one of these (with a prefix) or derived from them.

The seven

| Quantity | Unit | Symbol | Defined by (since 2019) | |---|---|---|---| | Length | metre | m | speed of light in vacuum | | Mass | kilogram | kg | Planck constant | | Time | second | s | cesium-133 hyperfine transition | | Electric current | ampere | A | elementary charge | | Temperature | kelvin | K | Boltzmann constant | | Amount of substance | mole | mol | Avogadro constant | | Luminous intensity | candela | cd | luminous efficacy of 540 THz radiation |

Why the change in 2019

Before 2019, the kilogram was defined as the mass of the International Prototype Kilogram — a platinum-iridium cylinder stored in a vault in Sèvres, France. Every other country's kilogram had to be measured against it. The cylinder was slowly losing mass relative to its copies, which is a fun but unsustainable definition.

After 2019, the kilogram is defined by fixing Planck's constant h = 6.62607015 × 10⁻³⁴ kg·m²/s. This means the definition is reproducible in any well-equipped metrology lab, anywhere, forever.

Derived units you'll use

Almost all the units on this site are derived:

- 1 newton = 1 kg·m/s² - 1 joule = 1 kg·m²/s² - 1 watt = 1 kg·m²/s³ - 1 pascal = 1 kg/(m·s²) - 1 hertz = 1/s

Practical implication

If you ever argue with someone about whether grams or kilograms are the "real" unit: the kilogram is base. The gram is a prefix-altered version (1 g = 10⁻³ kg).

The site uses the correct base in every category, so 1 m = 1, 1 kg = 1, 1 s = 1. Conversions away from the base are multiplicative factors.