Interplanar spacing d using braggs law

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SUMMARY

The discussion centers on calculating the interplanar spacing (d) of KCl using Bragg's Law. The user has determined the de Broglie wavelength of electrons accelerated by 100V to be approximately 1.23 x 10^-10 m and identifies the first diffraction peak at an angle of 11.3 degrees. The relevant formula, 2d sin(theta) = nλ, is confirmed as the method to derive the interplanar spacing. The conversation also touches on the relationship between interplanar spacing and lattice constants, emphasizing the need to consider the crystal structure of KCl.

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  • Understanding of Bragg's Law and its application in diffraction.
  • Knowledge of de Broglie wavelength calculations for electrons.
  • Familiarity with the concept of diffraction peaks in crystallography.
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  • Calculate interplanar spacing using Bragg's Law with the provided parameters.
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strugglin
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hi, I've been bashing my head against the wall for the past few days trying to work this one out!
ive worked out a de broglie wavelength of electrons accelerated from rest by a voltage of 100v to be around (1.23 x 10 ^-10) m.
now using a KCl diffraction , these electrons cause a first diffraction peak at angle of 11.3 degrees...so therefore what is the interplanar spacing of the KCl??

im pretty sure the braggs formula has got to be implemented but unsure how??it couldn't be as simple as rearranging the bragg formula to get the d vaule could it?

2 d sin theta = n lambda

so basic info is that electrons are accelrated by 100v from rest
de broglie wavelength is (1.23 x 10 ^-10) m
and the first diffraction peak is at 11.3 degree angle

please, would apreciate ur ideas and help!
 
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Bragg's formula will provide the value of d, the inter-planar spacing corresponding to this angle.
If you actually need the lattice constant of the sample, this d may or may not be it.
But it seems that you only need the inter-planar spacing here.
 
thanks for that, but can the lattice constant be worked out from this information?and how can i use the bragg formula to ge this?
 
Hello strugglin, welcome to PF :)

A lot of threads here discuss the same question, https://www.physicsforums.com/showthread.php?t=346987". You can follow the same procedure in order to get the needed values of both lattice constants and interplanar spacing d [Taking into consideration the crystal structure of KCl].
 
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