Mathematical description of photo electric effect
The maximum kinetic energy 
of an ejected electron is given by
of an ejected electron is given by
where 
is the Planck constant and 
is the frequency of the incident photon. The term 
=
is the work function (sometimes denoted 
, or 
), which gives the minimum energy required to remove a delocalised electron from the surface of the metal. The work function satisfies
is the Planck constant and is the frequency of the incident photon. The term = is the work function (sometimes denoted , or ), which gives the minimum energy required to remove a delocalised electron from the surface of the metal. The work function satisfies
where 
is the threshold frequency for the metal. The maximum kinetic energy of an ejected electron is then
is the threshold frequency for the metal. The maximum kinetic energy of an ejected electron is then
Kinetic energy is positive, so we must have 
for the photoelectric effect to occur.
for the photoelectric effect to occur.
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