Editing Structure factor
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The ''' | The '''structure factor''', <math>S(k)</math>, for a monatomic system is defined by: | ||
:<math>S(k) = 1 + \frac{4 \pi \rho}{k} \int_0^{\infty} ( g_2(r) -1 ) r \sin (kr) ~dr</math> | |||
:<math>k= |\mathbf{k}|= \frac{4 \pi }{\lambda} \sin \left( \frac{\theta}{2}\right)</math> | where <math>k</math> is the scattering wave-vector modulus | ||
:<math>k= |\mathbf{k}|= \frac{4 \pi }{\lambda} \sin \left( \frac{\theta}{2}\right)</math> | |||
The structure factor is basically a [[Fourier analysis | Fourier transform]] of the [[pair distribution function]] <math>{\rm g}(r)</math>, | The structure factor is basically a [[Fourier analysis | Fourier transform]] of the [[pair distribution function]] <math>{\rm g}(r)</math>, | ||
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The ratio between the dynamic and the static structure factor, <math>S(k,t)/S(k,0)</math>, is known | The ratio between the dynamic and the static structure factor, <math>S(k,t)/S(k,0)</math>, is known | ||
as the collective (or coherent) intermediate scattering function. | as the collective (or coherent) intermediate scattering function. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
;Related reading | ;Related reading | ||
*[http://dx.doi.org/10. | *[http://dx.doi.org/10.1088/0953-8984/6/41/006 A. Filipponi, "The radial distribution function probed by X-ray absorption spectroscopy", J. Phys.: Condens. Matter, '''6''' pp. 8415-8427 (1994)] | ||
[[category: Statistical mechanics]] | [[category: Statistical mechanics]] |