The plane will scatter, and all atoms in the plane will scatter in phase
if angle of incidence equals angle of reflection. this is how a mirror
reflects. Furthermore all the parallel planes will also reflect at this angle.
Trouble is the beams scattered from the different parallel planes are
systematically out of phase with each other unless Bragg's law is met
for that set of planes, so interference is destructive and adds up to nothing.
At least that's how I understand it,
eab




On 07/08/2014 03:53 PM, Kianoush Sadre-Bazzaz wrote:
Hi

If a sample of powder crystal (say Nickel) is shot with monochromatic x-rays, 
one will observe reflections from planes that satisfy Bragg's Law. For Ni the 
first four planes are (111, 200, 202, 311) with 2theta (44, 52, 76, 93 degrees) 
respectively.

  Why doesn't one observe a reflection at, say, 45 degrees? There will be a 
grain oriented in the powder such that x-rays reflect at 45 degrees and so 
forth. I would expect a continuum of reflections...

thanks for the insight.

Kianoush

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