Bragg Angles + Thermal Expansion

AI Thread Summary
The discussion revolves around calculating the change in Bragg angle (theta) when a crystal's lattice parameter increases by 0.17% due to thermal expansion from 0 to 100 degrees Celsius. The equation 2dsin(theta) = nλ is referenced, but participants express confusion about how to apply it without knowing the wavelength or the new d-spacing. There is uncertainty regarding whether to use the relationship d_1*sin(theta_1) = d_2*sin(theta_2) for the calculation. The lack of information on density and the new angle complicates the solution process. Ultimately, the participants are seeking clarity on how to approach the problem with the given data.
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Homework Statement



A crystal is heated from 0 to 100 degrees celcius, its lattice parameter 'a' increases by 0.17% due to thermal expansion. if we observe an x-ray reflection at a bragg angle theta= 19.3 degrees at 0 degrees celcius, by how much will theta change when the sample is heated to 100 degrees C. (don't need to know wavelength or d to solve)

Homework Equations



2dsin(theta) = n\lambda

The Attempt at a Solution



Tried using 1 for d. and just seeing how much it'd change but it didn't come out right.
 
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Should it be d_1*sin(theta_1) = d_2*sin(theta_2) ?
 
Spinnor said:
Should it be d_1*sin(theta_1) = d_2*sin(theta_2) ?

well all we're given is density 1 and theta 1. we don't even know density2 or theta2
 

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