Equation describing linear energy transfer

[lavster]

can someone confirm that the equation for the linear energy transfer is:

$$LET=-\frac{4\pi e^4Nz^2Z}{m_0v^2} (ln\frac{2m_0v^2}{I}-ln(1-\beta^2)-\beta^2)=-\frac{dE}{dx},$$
where e is the charge of an electron, Z is the atomic number of the material being irradiated, m_0 is the mass, z is the charge number of the beam particle, v is the velocity of the beam particle, I is the average ionisation potential ($$\approx11.5Z(eV)$$), $$\beta=\frac{v}{c}$$ and $$\frac{dE}{dx}$$ is the energy loss per unit length.

and hence LET is the same as the stopping power. (the internet as confused me greatly)

thanks

 

[jim mcnamara]

Let's try the Physics forum for this...

 

[gleem]

This is the Bethe-Block equation. Compare your equation with the one in https://www.physi.uni-heidelberg.de...leDetectors2/sma_InteractionsWithMatter_1.pdf

Your equation seems to be correct but different sources express their results a bit differently using different constants so check the reference and convert your constant to that of the reference.