The candela, symbol $\rm{cd}$, is the SI unit of luminous intensity in a given direction. It is defined by taking the fixed numerical value of the luminous efficacy of monochromatic radiation of frequency ${540 \times 10^{12}}\ {{\rm{Hz}}}$, ${K_{\rm{cd}}}$, to be ${683}$ when expressed in the unit ${\rm{lm}}\ {\rm{W}}^{-1} $, which is equal to ${\rm{cd}}\ {\rm{sr}}\ {\rm{W}}^{-1}$, or ${\rm{cd}}\ {\rm{sr}}\ {\rm{kg}}^{-1}\ {\rm{m}}^{-2}\ {\rm{s}}^{3}$, where the kilogram, metre and second are defined in terms of ${h}$, $c$ and $\Delta\nu_{\rm{Cs}}$.
Unit | candela |
---|---|
Symbol | cd |
Quantity | luminous intensity |
Defining Constant | luminous efficacy |
Defining Resolution |
CGPM Resolution 1 (2018) |
Unit Type | SI base unit |
Defining Equation | $$1\;{\rm{cd}} = \left(\frac{{K_{\rm{cd}}}}{683}\right) {\rm{kg}}\;{\rm{m}}^2\;{\rm{s}}^{-3}\;{\rm{sr}}^{-1}$$ |