How can (220) in bcc diffract?

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The discussion centers on the diffraction pattern of the body-centered cubic (bcc) structure, specifically regarding the (220) planes. It is clarified that the (220) reflection is a second-order diffraction of the (110) plane, meaning the (220) plane itself does not contribute to diffraction. The confusion arises from textbooks that list various diffracting planes, which can mislead readers into thinking that the (220) plane is independently diffracting. Instead, it is the (110) plane that produces the second-order diffraction peaks. Understanding this distinction is crucial for interpreting diffraction patterns in bcc crystals.
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Dear xrd experts,

I need help in explaining the diffraction pattern of bcc structure. Specifically, (220) is listed among the planes that give constructive interference since (h2 + k2 + l2) = 8; (h+k+l) = even number. But I am blind to see a single atom on a (220) planes in bcc structure: attached is a picture illustrating (220) planes. I am missing something here. In advance, greatly thankful for helping me.

Sveto
 

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Dear all,

I came across the same type of question concerned with 200 reflection of simple cubic structure at https://www.physicsforums.com/showthread.php?t=465354. Since 220 is a second order diffraction of (110) plane it means there is no need for a (220) plane; like a harmonic in waves. So, all is clear!

The confusion came from the sources that use language like:
"Diffracting planes in BCC crystals: 110,200,211,220,222" See "Materials science for engineering students" By Traugott E. Fischer, p. 544.. There are more textbooks like this one.

Thus, it is not 220 plane that is diffracting , but 110 plane that gives a 2-nd order (and higher orders) diffraction peaks.
 

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