SI coherent derived units with special names and symbols
Coherent derived units are products of powers of base units that include no numerical factor other than 1. The base units and coherent derived units of the SI form a coherent set, designated the set of coherent SI units.
To simplify their expression, 22 coherent derived units in the SI have been given special names.
Name | Symbol | Quantity | Expressed in terms of SI base units | Expressed in terms of other SI units | |
hertz | Hz | frequency | s-1 | ![]() |
1/s |
radian | rad | angle | ![]() |
m/m | |
steradian | sr | solid angle | ![]() |
m2/m2 | |
newton | N | force | kg m s‑2 | ![]() |
|
pascal | Pa | pressure, stress | kg m‑1 s‑2 | ![]() |
N/m2 |
joule | J | energy, work, heat | kg m2 s‑2 | ![]() |
N m C V W s |
watt | W | power, radiant flux | kg m2 s‑3 | ![]() |
J/s V A |
coulomb | C | electric charge | s A | ![]() |
F V |
volt | V | electric potential difference, electromotive force |
kg m2 s‑3 A‑1 | ![]() |
W/A J/C |
farad | F | electric capacitance | kg‑1 m‑2 s4 A2 | ![]() |
C/V s/Ω |
ohm | Ω | electric resistance, impedance, reactance |
kg m2 s‑3 A‑2 | ![]() |
1/S V/A |
siemens | S | electric conductance | kg‑1 m‑2 s3 A2 | ![]() |
1/Ω A/V |
weber | Wb | magnetic flux | kg m2 s‑2 A‑1 | ![]() |
V s J/A |
tesla | T | magnetic flux density, magnetic field strength |
kg s‑2 A‑1 | ![]() |
Wb/m2 |
henry | H | inductance | kg m2 s‑2 A‑2 | ![]() |
Wb/A |
degree Celsius | °C | Celsius temperature | K | ![]() |
|
lumen | lm | luminous flux | cd | ![]() |
cd sr |
lux | lx | illuminance | m-2 cd | ![]() |
lm/m2 |
becquerel | Bq | activity referred to a radionuclide |
s-1 | ![]() |
1/s |
gray | Gy | absorbed dose (of ionising radiation) |
m2 s-2 | ![]() |
J/kg |
sievert | Sv | dose equivalent (of ionising radiation) |
m2 s‑2 | ![]() |
J/kg |
katal | kat | catalytic activity | s-1 mol | ![]() |