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Powder Diffraction - Spallation Neutron Source

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Crystallite Size Broadening<br />

The Fourier transform (FT) from<br />

an infinite array of regularly<br />

spaced objects is an array of<br />

delta functions.<br />

The FT from a finite length array<br />

is broadened.<br />

The finite sizes of crystallites will<br />

broaden all orders of reflections<br />

equally in units of Q ( d*)<br />

– differing reciprocal space<br />

directions may have differing<br />

amounts of broadening, if<br />

crystallites dimensions are<br />

not isotropic on average<br />

b*<br />

a*<br />

Crystallite Size Broadening can<br />

produce Lorentzian peak shapes<br />

(common) or Gaussian peak shapes<br />

(uncommon) or a combination of both.

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