Bragg's Law (X-Ray Analytical Methods)

AI Thread Summary
Bragg's Law, expressed as nλ=2dsinθ, indicates that the integer n must be less than or equal to 2d/λ to ensure constructive interference occurs during X-ray diffraction. If the wavelength λ is significantly larger than the interplanar distance d, the condition for constructive interference cannot be satisfied, leading to no observable diffraction. The relationship between n, d, and λ is crucial for understanding the diffraction pattern produced by crystal structures. The discussion highlights a need for clarity in mathematical proofs related to these concepts. Understanding the principles of constructive and destructive interference is essential for solving the posed questions effectively.
Kelly Green
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Homework Statement


Explain using word, diagrams, and/or calculations..
(1) Why must n always be <= 2d/λ?
(2) If λ is significantly greater then d, why will no diffraction occur?

Homework Equations


Bragg's Law nλ=2dsinθ
n has its maximum when sinθ is 1 (at 90°)

The Attempt at a Solution


I am taking an X-Ray Analytical Methods course. I understand the general concept of Bragg's Law, but am having a hard time answering / proving the two questions above, perhaps I am over thinking it? Any feedback and/or direction would be greatly appreciated.
 
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Kelly Green said:
I understand the general concept of Bragg's Law, but am having a hard time answering / proving the two questions above, perhaps I am over thinking it?
What have you tried and what specifically are you having trouble with?
 
sorry, I didn't put the problem statement in the correct area of the template (edited).

rg: Bragg's Law nλ=2dsinθ - Explain using word, diagrams, and/or calculations..
(1) Why must n always be <= 2d/λ?
(2) If λ is significantly greater then d, why will no diffraction occur?

I understand the concept of constructive and deconstructive interference, but am having a hard time mathematically proving it..
 
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