The second order brag diffraction from 100 planes of a cubic crystal will equivalent to?

Question

Answer

Second Order Bragg Diffraction from 100 Planes of a Cubic Crystal

Introduction

In crystallography, Bragg's Law is a fundamental principle used to determine the angle of diffraction of X-rays and neutrons from crystal planes.

Bragg's Law

Bragg's Law can be expressed as:

2d sin θ = nλ

where:

d is the distance between the crystal planes

θ is the angle between the incident X-ray beam and the crystal plane

λ is the wavelength of the X-ray beam

n is an integer (1, 2, 3, ...), known as the order of diffraction

Second Order Bragg Diffraction from 100 Planes

If we consider second order Bragg diffraction from 100 planes of a cubic crystal, the angle of diffraction can be calculated using Bragg's Law. Assuming that the distance between the crystal planes is d, and the X-ray wavelength is λ, we can write:

2d sin θ = 2λ

Solving for θ, we get:

θ = sin^-1(λ/d)

Therefore, the angle of diffraction for second order Bragg diffraction from 100 planes of a cubic crystal is dependent on the distance between the crystal planes and the wavelength of the X-ray beam.

Conclusion

In conclusion, the angle of diffraction for second order Bragg diffraction from 100 planes of a cubic crystal can be calculated using Bragg's Law. The angle is dependent on the distance between the crystal planes and the wavelength of the X-ray beam.

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