23.07.2013 Views

Powder Diffraction - Spallation Neutron Source

Powder Diffraction - Spallation Neutron Source

Powder Diffraction - Spallation Neutron Source

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Coherent Atomic Scattering Power (diffraction)<br />

Structure factors: F hkl = n f i exp[2i(hx i + ky i + lz i)] exp(-U iQ 2 /2)<br />

<strong>Diffraction</strong> Intensity: I hkl |F hkl| 2<br />

X-rays: The scattering power (form<br />

factor, f i) of an atom depends on the<br />

number of electrons in the atom and<br />

Q (Qsin/)<br />

<strong>Neutron</strong>s: The scattering power<br />

(scattering length, b i) of an atom<br />

depends on the isotope and is<br />

independent of Q<br />

– A few isotopes scatter with opposite<br />

phase to most, for these we write f (b)<br />

as negative<br />

– Magnetic scattering is from electrons;<br />

f M(Q) similar to x-rays<br />

Q or sin/, Å -1<br />

15

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!