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Thursday, December 22, 2022

Collision Energy

 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=v1v2.


12μv2r is called collision energy.

amu is short for atomic mass unitProtons 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://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Map%3A_Physical_Chemistry_for_the_Biosciences_(Chang)/02%3A_Properties_of_Gases/2.8%3A_Molecular_Collisions_and_the_Mean_Free_Path

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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