Interplanar spacing d using braggs law

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In summary, The conversation discusses the calculation of the interplanar spacing of KCl using Bragg's formula and the de Broglie wavelength of electrons accelerated by a voltage of 100V. The first diffraction peak is observed at an angle of 11.3 degrees. There is uncertainty about whether the calculated d value is the lattice constant or not. The conversation also mentions a thread discussing the same question and suggests following the same procedure to get the required values.
  • #1
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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  • #2
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.
 
  • #3
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?
 
  • #4
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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1. What is "Interplanar spacing d" in Bragg's Law?

Interplanar spacing d is the distance between two adjacent crystal planes in a crystalline material. It is a key factor in Bragg's Law, which describes the relationship between the angle of incidence of X-rays and the spacing of crystal planes.

2. How is the interplanar spacing d calculated using Bragg's Law?

The interplanar spacing d can be calculated using Bragg's Law, which states that d = λ / (2sinθ), where λ is the wavelength of the X-ray, θ is the angle of incidence, and d is the interplanar spacing.

3. Why is the interplanar spacing d important in materials science?

The interplanar spacing d is important in materials science because it is a key factor in determining the properties and behavior of crystalline materials. It affects the diffraction patterns produced by X-rays, which can be used to analyze the structure and composition of materials.

4. How does Bragg's Law help in determining the crystal structure of a material?

Bragg's Law can be used to determine the crystal structure of a material by analyzing the diffraction pattern produced by X-rays. The angle of incidence and the spacing between crystal planes can provide information about the arrangement of atoms within the crystal lattice.

5. Can Bragg's Law be applied to other types of waves besides X-rays?

Yes, Bragg's Law can be applied to other types of waves, such as electrons and neutrons, as long as they have a wavelength similar to the spacing of crystal planes. This allows for the study of the crystal structure of materials using different types of radiation.

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