X-ray study of crystal structure Assignment Help

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X-ray study of crystal structure

         Study of internal structure of crystal can be done with the assistance of X-rays. The distance of the constituent particles can be determined from diffraction value by Bragg’s equation. 

        473_X ray study of crystal structure.png

where, λ= Wave length of X-rays, n = order of reflection,  θ = Angle of reflection, d = Distance between two parallel surfaces

         The above equation is known as Bragg’s equation or Bragg’s law. The reflection corresponding to n = 1 (for a given family of planes) is called first order reflection; the reflection corresponding to n = 2 is the second order reflection and so on. Thus by measuring n (the order of reflection of the X-rays) and the incidence angle  θ, we can know d/λ .

        103_X ray study of crystal structure1.png

         From this, d can be calculated if l is known and vice versa it is also possible. In X-ray reflections, n is usually set as equal to one. Hence Bragg’s equation can alternatively be written as follows

         1795_X ray study of crystal structure2.png= 2 dhkl sinθ

         Here dhkl shows the perpendicular distance between the adjacent planes with the indices hkl.

 

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