Structure factor

The structure factor, $S(k)$, for a monatomic system is defined by:

$S(k)=1+\frac{4\pi \rho }{k}\underset{0}{\overset{\mathrm{\infty }}{\int }}(g_2(r)-1)r\sin (kr)dr$

where $k$ is the scattering wave-vector modulus

$k=\frac{4\pi }{\lambda \sin (\frac{\theta }{2})}$

References

1. A. Filipponi, "The radial distribution function probed by X-ray absorption spectroscopy", J. Phys.: Condens. Matter, 6 pp. 8415-8427 (1994)