Bragg's Law with Refractive Correction

In summary, Bragg's Law with Refractive Correction is a mathematical relationship used to describe the diffraction of X-rays or other electromagnetic radiation by a crystal lattice. It is commonly used in crystallography and X-ray diffraction techniques to determine the structure of molecules and materials at the atomic level. The formula for this law is nλ = 2d sinθ, where n is the refractive index, λ is the wavelength of the radiation, d is the distance between crystal planes, and θ is the angle of diffraction. This law differs from Bragg's Law in that it takes into account the refractive index of the crystal. However, it also has limitations, as it assumes a perfect crystal with uniform refr
  • #1
saybrook1
101
4
Hi guys, the x-ray data booklet gives a modified Bragg's Law that seems to be a combination of Snell's and Braggs. I'll post a picture of what this looks like. I've tried combining the two equations and coming up with their answer but can't get a solid derivation. Any help or a point toward a derivation would be awesome. Thanks!

http://imgur.com/a/CvUGz
 
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Note: This one has already been answered in the Atomic, Solid State, and Comp. Physics section. For further details, please see the discussion in that section.
 

1. What is Bragg's Law with Refractive Correction?

Bragg's Law with Refractive Correction is a mathematical relationship that describes the diffraction of X-rays or other electromagnetic radiation by a crystal lattice. It takes into account the refractive index of the crystal, which affects the angle at which the radiation is diffracted.

2. How is Bragg's Law with Refractive Correction used in scientific research?

Bragg's Law with Refractive Correction is commonly used in crystallography, which is the study of the arrangement of atoms in crystals. It is also used in X-ray diffraction techniques to determine the structure of molecules and materials at the atomic level.

3. What is the formula for Bragg's Law with Refractive Correction?

The formula for Bragg's Law with Refractive Correction is nλ = 2d sinθ, where n is the refractive index, λ is the wavelength of the radiation, d is the distance between crystal planes, and θ is the angle of diffraction.

4. How does Bragg's Law with Refractive Correction differ from Bragg's Law?

Bragg's Law with Refractive Correction takes into account the refractive index of the crystal, while Bragg's Law does not. This means that the angle of diffraction calculated using Bragg's Law with Refractive Correction will be slightly different from the angle calculated using Bragg's Law.

5. What are the limitations of Bragg's Law with Refractive Correction?

Bragg's Law with Refractive Correction assumes that the crystal is perfect and has a uniform refractive index. In reality, crystals may have defects or variations in refractive index, which can affect the accuracy of the calculations. Additionally, this law is only applicable to electromagnetic radiation, and cannot be applied to other forms of diffraction, such as neutron diffraction.

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