The structure factor of a liquid is given by

$S(q)=1-4{\displaystyle \underset{0}{\overset{}{}}}[g(r)-1]\frac{sin(qr)}{qr}{r}^{2}dr.$

The lengths and wave$-$vectors are in units of molecular diameter $d($i$.$e$.,r\frac{r}{d},qqd).$ To

find $S(q),$ the above integral has to be evaluated at different values of the wave vector $q.$

Calculate the structure factor for

$($a$)=0\mathrm{.}2$

$($b$)=0\mathrm{.}8$

for the range $0q20$ with a step $q=0\mathrm{.}5,$ and plot the results. Please write this $in$ Matlab