2. Basic Radiation Damage model¶
2.1. Overview¶
def some_function():
interesting = False
print 'This line is highlighted.'
print 'This one is not...'
print '...but this one is.'
2.2. Columb scattering with target atom¶
A universal one-parameter differential scattering cross section equation in reduced notation is expressed by Lindhard et al. as:
\[d\sigma_{sc} = \frac{\pi a^2_{TF}}{2}\frac{f(t^{1/2})}{t^{3/2}}dt\]
where t is a dimensionless collision parameter defined by:
\[t\equiv \epsilon^2\frac{T}{T_{max}}=\epsilon^2\sin^2(\frac{\theta_c}{2})\]
T is the transferred energy to the target,and $T_{max}$ is the maximum transferred energy as:
\[T_{max}=\frac{4M_1M_2}{(M_1+M_2)^2}E_p\]