X-ray Diffraction Homework: 2theta for (abc) and (def) Planes

  • Thread starter Thread starter decerto
  • Start date Start date
  • Tags Tags
    Diffraction Xray
AI Thread Summary
The discussion revolves around deriving the angular position (2theta) for specific crystal planes in an X-ray diffraction scenario involving two fractions with different cell parameters and two types of radiation. The main challenge identified is the ambiguity in interpreting "two fractions" and whether to average the spacings and wavelengths or analyze them separately for each case. The relevant equations for calculating the angular positions are provided, but clarity is needed on how to apply them in this context. Participants are encouraged to seek further information or rephrase the question for better understanding. The complexity of the problem highlights the need for precise definitions in crystallography homework.
decerto
Messages
84
Reaction score
2

Homework Statement


[/B]
A crystal composed of two fractions, one having the a cell parameters of x and the other of y are subjected to X-ray diffraction using both a Ni k-beta and a Zr b-beta radiation. Derive the angular position (2theta) for (abc) and (def) planes

Homework Equations


n\lambda=d\sin\theta
d_{hkl}=\frac{x}{\sqrt{h^2+k^2+y2}}

The Attempt at a Solution



First of all I am not sure what composed of two fractions means.

With the relevant equations it is pretty easy to solve this for a crystal composed of one "fraction" with one incident wavelength of xray. With two fractions and two incident wavelengths I am not sure if I should average over the the two spacings and the two wavelengths(The wording of the question implies there is one angular position for each plane) or if I do it for the 4 specific cases.
 
Physics news on Phys.org
Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top