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==Key Stage 5==
===Meaning===
'''Annihilation''' is the process in which [[matter]] and [[antimatter]] interact converting all their [[Rest Mass|rest mass]] into [[energy]] resulting in a pair of two or more [[Gamma Ray-ray|gamma ray]] [[photon]]s being emitted in opposite directions.
===About Annihilation===
===Equation===
Assuming both particles are at rest
<math>2E_0 = 2hf</math>
Where
<math>E_0</math> = Rest Mass Energy of each particle. <math>hf</math> = The [[energy]] of one each[[Gamma Ray-ray|gamma ray]] [[photon]] emitted.
<math>h</math> = [[Planck's Constant]]
<math>f</math> = The [[frequency]] of the emitted [[photon]]
In the special case that one of the particles is in motion
<math>2E_0 + E_k = 2hf</math>
Where
<math>E_k</math> = The [[Kinetic Energy|kinetic energy]] of the particle
===Examples===
*[[Positron Emission Tomorgraph|Positron emission tomography]] ([[Positron Emission Tomography|PET]]) scans detect [[Gamma-ray|gamma rays]] from [[electron]]-[[positron]] [[annihilation]].
*[[Particle Accelerator|Particle accelerators]] study [[annihilation]] events to understand [[Fundamental Particle|fundamental particles]].