Photoelectric effect

Introduction
Photoelectric effect is one of three possible interactions of γ radiation with the electron shell. Out of these three interactions has photon usually the lowest energy. It is a physical phenomenon, where electrons are ejected from matter (usually metal) due to absorption of electromagnetic radiation. Electrons emitted in this manner are then called photo electrons. Their emission is called photoelectric emission (photoemission).

History
As discoverer of photoelectric effect is regarded Heinrich Hertz, who noticed during his experiments with a spark gap generator, that sparkling UV radiation exposure facilitates the flashover, i. e. electric charge transmission between electrodes.

In 1899 Joseph John Thompson clarified the nature of photoelectric phenomenon decisively. Thompson identified electrons in the flow of negatively charged particles emitted from the metal.

The own nature of the phenomena described Albert Einstein in 1905 in detail and earned for that the Nobel Prize in Physics in 1921.

Physical description
The photoelectric effect occurs, when the entire energy of photon passes on an electron in the electron shell of the absorbing material or a free electron (e.g. in metal). Part of the energy enables emission (work function Φ) of the electron from the atom, and the rest contributes to the electron's kinetic energy as a free particle (photo electron). The work function is defined as the minimum amount of energy, that is necessary to free the electron. The gamma photon perishes and its energy is taken over by the ionizing photo electron.

Einstein's photoelectric equation formulates the law of conservation of energy: $$h\cdot\upsilon=KE+\Phi$$.

After absorbing the energy of photon the atom is left in an excited state and after emission of the electromagnetic radiation returns back to the ground state.

The empty space left by the emitted electron is filled by another electron from a different electron shell of the atom. During this jump energy in the form of a specific radiation is being emitted. What else can also happen is the Auger effect, where the energy is transferred to another electron of a higher electron shell, which is ejected from the atom and this second ejected electron is called an Auger electron.

Photon interacts with electrons in shells K, L and M, i. e. electrons close to nucleus. The interaction is usually situated in the shell K (80% probability).

The probability of the occurrence grows with the higher atomic number of the absorbing material (bone, contrast agents etc.).

According to the classical physics the kinetic energy of the electromagnetic radiation should be passed on the electrons. Energy of the electromagnetic waves is related to the intensity of the radiation, i. e. energy of the emitted electrons should be a correlative of the intensity of the stimulating radiation. However, experiments showed, that the electron's kinetic energy is related to the frequency and not the intensity of the radiation shining on the material.

For every metal exists a certain minimum of frequency (threshold frequency f 0 ). The photoelectric effect occurs only when light above a the threshold frequency is shone on the metal. The energy of the emitted electrons depends on the frequency of the incident light. If the light frequency f is higher than the threshold frequency f 0, the energy of the photoelectrons ranges from zero to certain maximum Emax.

$$E_{max}=h(f-f_0) $$

Types of photoelectric effect
According to the way of electrons formation by the absorption of the electromagnetic radiation we can distinguish:

a) external photoelectric effect: on the surface of the material, electrons are emitted out of the matter

b) internal photoelectric effect: emission within the material, emitted electrons are left in the material as conductive electrons (semiconductors etc.)

Inverse photoelectric effect
Inverse photoelectric effect is the opposite to the photoelectric effect. In this case electrons absorbed by the atom cause the emission of photons.

Uses
Photoelectric effect plays an important part in biophysics. This knowledge can be applied in radiation screenings. X-ray pictures are created on the principle of inverse photoelectric effect, because the surface is bombarded by electrons and so the X-rays arise. Different tissues have different absorbance and that is why we can distinguish different structures on the X-ray pictures. In contrast to Compton effect there are no free electrons left, photon perishes and it never comes to collisions and changes of direction and wave length.