Interplanar spacing d using braggs law

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Discussion Overview

The discussion revolves around calculating the interplanar spacing (d) of KCl using Bragg's law, based on the de Broglie wavelength of electrons accelerated by a voltage and the angle of the first diffraction peak. The scope includes theoretical application and mathematical reasoning related to diffraction and crystal structures.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant calculates the de Broglie wavelength of electrons accelerated by 100V to be approximately (1.23 x 10^-10) m and seeks to find the interplanar spacing using Bragg's law.
  • Another participant confirms that Bragg's formula can be used to find the interplanar spacing corresponding to the given angle of diffraction.
  • A subsequent participant questions whether the lattice constant can be derived from the provided information and how to apply Bragg's formula for this purpose.
  • Another reply suggests that there are existing threads discussing similar questions and encourages following a procedure to obtain both the lattice constants and interplanar spacing, emphasizing the importance of considering the crystal structure of KCl.

Areas of Agreement / Disagreement

Participants generally agree that Bragg's law is applicable for calculating the interplanar spacing, but there is uncertainty regarding the relationship between the interplanar spacing and the lattice constant, as well as how to derive one from the other.

Contextual Notes

There are limitations regarding the assumptions made about the crystal structure of KCl and the specific conditions under which the calculations are valid. The discussion does not resolve how to definitively relate the interplanar spacing to the lattice constant.

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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