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:

\[T_{max}=\frac{4M_1M_2}{(M_1+M_2)^2}E_p\]