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Powder Diffraction - Spallation Neutron Source

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CW: Variation of FWHM with Q<br />

Gaussian<br />

U, V & W are Cagliotti terms, derived<br />

as instrument response function for<br />

CW neutron diffraction. Incomplete for<br />

x-rays.<br />

P is a crystallite broadening<br />

contribution<br />

G<br />

2<br />

g<br />

= U tan<br />

W<br />

+<br />

2<br />

Q + V tan Q +<br />

P<br />

cos<br />

2<br />

Q<br />

Lorentzian<br />

X is crystallite broadening<br />

Y is strain broadening<br />

X<br />

g<br />

= + Y tan Q<br />

cosQ<br />

N.B. no instrumental broadening term<br />

55

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