Why Do Thermal Neutrons Use v = sqrt(2kT/m) Instead of v = sqrt(3kT/m)?

AI Thread Summary
The velocity of thermal neutrons can be approximated using the equation v = sqrt(2kT/m), where k represents the Boltzmann constant, T is the temperature, and m is the mass of the neutrons. The discussion raises a question about why this equation differs from v = sqrt(3kT/m). The distinction lies in the statistical mechanics principles applied to the behavior of particles in thermal equilibrium. The original equation accounts for the average speed of neutrons, while the alternative equation would imply a different statistical interpretation. Understanding these nuances is crucial for accurate thermal neutron velocity calculations.
sandon
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The most probable velocity of thermal neutrons can than be approximated by the Boltzmann constant and is given by the following:

v = sqrt (2kT/m)

where
k is the Boltzmann constant
T is the temperature
m is the mass of the neutrons

My question is why is the above equation not the following

v= sqrt(3kT/m)
 
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