Photoelectric Emission

Photons and Photoelectric Effect

Electromagnetic waves are transverse wave of electric and magnetic field. Electromagnetic waves include among others:

• visible light,

• microwaves,

In certain cases, however, electromagnetic waves appear to consist of particles or "energy packets". These packets are called photons. Through experiments, we found that their energy is directly proportional to the frequency of the electromagnetic wave:

Photons

Sometimes an electromagnetic wave cannot be described as a wave but must be treated as if it consists of particles - photons. Photons are not observed in everyday life, they can only be observed when we observe very weak light with a very sensitive light detector.

As already mentioned in the introduction, the photon energy depends linearly on the wave frequency:

where the proportionality constant is Planck's constant with the value:

Frequency and wavelength are directly related in electromagnetic waves by the equation:

where is the speed of light. In a vacuum, the speed of light is:

The formula for the photon energy can thus be expressed as:

 We note from above that:

A photon is the basic particle of an electromagnetic wave. Its energy depends on the wavelength or frequency of light and is related to it by the equation:

where is Planck's constant which is given as:

and is the speed of light.

Example

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As we can see in the example above, the energies of individual photons are extremely small. This gives us an inkling that the number of photons coming from, for example, the sun must be extremely large, since we feel their energy well as heat.

Electron volts

For calculations with very small energies, such as we are dealing with on the atomic scale, electron volts are used as the unit of energy instead of Joules (for easier calculations). One electron volt is the energy gained by an electron with a base charge when it crosses a voltage difference of one volt. 1 electronvolt is equal to:

One electron volt (1 eV) is the energy gained by an electron when it crosses a voltage difference of one volt.

Example

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Photoeffect or photoelectric effect

The photoeffect or photoelectric phenomenon is a phenomenon in which an electromagnetic wave falls on matter and ejects electrons from it. This is one of the examples that can be explained much more easily by the existence of photons than by electromagnetic waves. Let's look at the scheme of the phenomenon:

Figure 1: Photoelectric effect process

If light photons hit a metal (the metal is usually connected to a cloud of free electrons, i.e. a metallic bond), they can knock electrons out of it under certain conditions. In this case, the ejected electron receives all the energy of a certain photon, and the photon itself disappears.

To exit the metal, the electron consumes energy , which is called work function. The work function is necessary for the electron to overcome the electric attraction of the network of atoms, and the rest of the received energy is converted into the kinetic energy of the now free electron. The kinetic energy of the ejected electron is thus equal to:

The work function depends on the type of metal since the electrons in different metals are bound differently strongly. Consequently, if the energy of the photon is less than the work function, then such a photon cannot knock out an electron.

The current that flows in an electric circuit, despite the fact that there is no voltage source in it, is called dead current.

Figure 2 shows the dead flow diagram. The circuit consists of a cathode and an anode, which are located in a vacuum-evacuated glass container. The cathode and anode are a connected circuit, but it is broken inside the vacuum vessel. Light falls on the cathode, which knocks electrons out of it due to the photoelectric effect. Some electrons fly in the direction of the anode and reach it. This movement of electrons causes the cathode to become positively charged and the anode to become negatively charged, and an electric current flows between them.

If light photons knock electrons out of a metal, we say that the photoelectric effect is taking place. The kinetic energies of the ejected electrons are given as:

Example

The example is available to registered users free of charge.

material editor: Sunday Awolaja