The kinetic energy between two colliding particles can be expressed in terms of center of mass and relative velocity by
Ek=12m1v21+12m2v22=12Mv2c+12μv2r,
a sum of a center-of-mass term and a relative momentum term.
where M, vc, ν, and vr are given by
M=(m1+m2);
vc=m1v1+m2v2m1+m2;
μ=m1m2m1+m2;
vr=v1−v2.
12μv2r is called collision energy.
amu is short for atomic mass unit. Protons have a positive electrical charge of one (+1) and a mass of 1 atomic mass unit (amu), which is about 1.67×10−27 kilograms.
Reference:
https://web.chem.ox.ac.uk/teaching/Physics%20for%20CHemists/Mechanics/Collisions.html
https://www.angelo.edu/faculty/kboudrea/periodic/structure_mass.htm
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