Bragg Diffraction: 2D Lattice Planes and Powder Pattern

Crystal and beam

Lattice parameter a 3.52 A

X-ray wavelength 1.54 A

Scan angle 2theta 44.0 deg

Structure

Readouts

Nearest allowed (hkl)

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d-spacing

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Path diff / lambda

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Bragg angle theta

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Condition

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n lambda = 2 d sin(theta), d = a / sqrt(h2+k2+l2). SC: all hkl; BCC: h+k+l even; FCC: h,k,l all odd or all even. Intensity ~ m |F|^2 (1+cos^2 2theta)/(sin^2 theta cos theta).