X-ray Diffraction, Intensity vs. Wavelength Graph

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Homework Help Overview

The discussion revolves around an X-ray diffraction problem, specifically focusing on the relationship between intensity and wavelength as depicted in a provided graph. Participants are exploring the implications of the presence of carbon and crystal structures in the context of the problem.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of a specific value (73 pm) and question the reasoning behind the presence of carbon in the setup. There are inquiries about the nature of X-ray interactions, particularly whether they involve the electron cloud or the nucleus.

Discussion Status

The discussion is active, with participants sharing calculations and expressing doubts about certain aspects of the problem. Some guidance has been offered regarding the application of relevant laws, but there is no explicit consensus on the explanations for questions a and c.

Contextual Notes

Participants note the absence of certain angles in the provided figure and reference previous exam materials, indicating that the problem may be part of a broader learning context. There is mention of specific energy differences related to K-alpha and K-beta emissions, which may influence the understanding of the problem.

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Homework Statement



[PLAIN]http://b.imagehost.org/0607/Question_7.png

Homework Equations



[PLAIN]http://d.imagehost.org/0813/Untitled_6.jpg

The Attempt at a Solution



I was able to get question b, which ends up being 73pm, but as for questions a and c, I was unable to come up with an explanation, and even when I sort of did, I couldn't explain it well. For question a, I can't figure out why the carbon is there, as well as the crystal and for question c, is it to do with the x-rays hitting either 1. the electron cloud or 2. the nucleus itself (compton collision) ?
 
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Hi,
please tell us how did you calculate 73 pm ?
 
You find delta-lambda, equals to 2, where theta in this case is equal to 90, then you add it onto the initial value of 73pm given.
 
Hi,
I have some doubts:
In figure i notice only theta angle, but no psi angle! [is your question taken from book or some other sources?]
for a) I guess, one can apply the famous law that relates incident angle and scattering plane's angle.
b) use the same law from (a)
c) it is a type of scattering (incident and scattered X-ray have same wavelength!)
PS: I have some doubts for (b), but a and c should be okay.
hope it helps.
 
I pulled the formula from the formula sheet off the back of last years exam. I've done the exam now, so I'm not stressing about it, and nor was there a question about this too much on the exam I did, I was just wondering because finding a solid answer is hard.

And yes, I know how to use 2d*sin(theta)=n*lambda

b was correct, from last years answer sheet, but the answer for a and c was 'explanation required'

In the exam I just completed, there was a similar question and it hinted at K-alpha and K-beta energy differences. Is this correct? No need to be so cryptic, lol, just curious, not actually homework anymore.
 

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