Calculating the Number of Collisions Required for Neutron Moderation

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To determine the number of collisions needed to slow a neutron from 14.1 MeV to thermal energy (0.0253 eV), the relevant equation is E' = [(A-1)/(A+1)]^2 x E, where A is the mass number. While the user understands how to apply this equation for energy calculations, they seek a more efficient method to directly calculate the number of collisions required. A suggestion is made to use the relationship E' = kE, leading to the formula kn = En/E for calculating the number of collisions. The user expresses gratitude for the guidance and acknowledges their initial confusion. The discussion emphasizes the need for a streamlined approach to neutron moderation calculations.
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Homework Statement


How many collisions will be necessary to slow a neutron down from 14.1 MeV to thermal energy (0.0253 eV)? A=24


Homework Equations


E'=[(A-1)/(A+1)]^2 x E


The Attempt at a Solution


The calculation is not an issue- I understand how to use the equation and what numbers go where.
I can use this calculation a hundred or so times to get to the thermal energy, but I'm hoping there is an equation I am missing that will give me the number of collisions instead of the energy after each collision. Any help on this would be greatly appreciated and a huge timesaver for me!
 
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hi clynne21! :smile:

(try using the X2 icon just above the Reply box :wink:)

if E' = kE, then after n times En = knE, or kn = En/E …

can you take it from there? :smile:​
 
Hi tiny-tim!
Awesome- yes I absolutely can take it from there- thank you so much! Just have a seriously tired brain and couldn't wrap it around making that easy :-)
 
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