Four-frequency

N^a = \left( 
u, 
u \mathbf{n} 
ight)

where

u

is the photon's Frequency and

\mathbf{n}

is a unit vector in the direction of the photon's motion. The four-frequency is always a Null Vector . Closely related to the four-frequency is the wave four-vector defined by

:

K^a=\left(rac{\omega}{c}, \mathbf{k}
ight)

where

\omega=2 \pi 
u

c

is the speed of light and

\mathbf{k}=rac{2 \pi}{\lambda}\mathbf{n}

and

\lambda

is the Wavelength of the photon. The wave four-vector is more often used in practice than the four-frequency, but the two vectors are related (using

c=
u \lambda

) by

:

K^a=rac{2 \pi}{c}N^a

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Four-frequency