(2) Assume 0.140 nm x-rays are diffracted on an interplanarspacing of NaCl, whic

Question

(2) Assume 0.140 nm x-rays are diffracted on an interplanarspacing of NaCl, which is 0.281 nm.

a) What is the predicted angle in the first-order?

b) What is the predicted angle in the second-order?

c) What is the maximum order for reflection? Why?

Hi, I need help with the following question. Could you pleaseshow your work so that I may better understand how the solution wasachieved? Thanks! Upper plane d Lower plane Usethe figure as a reference for problems (1) and (2) (1)Potassium iodide has a crystalline structure with atomic planesseparated by 0.353 nm. A monochromatic x-ray shows a first-orderdiffraction maximum when the grazing angle is 7.60 degree. a) Calculate the x-ray wavelength b) Assume now that the x-ray is observed at an incident angle of31.9 degree. Will constructive interference occur? (Defend yourargument calculatively) (2) Assume 0.140 nm x-rays are diffracted on an interplanarspacing of NaCl, which is 0.281 nm. a) What is the predicted angle in the first-order? b) What is the predicted angle in the second-order? c) What is the maximum order for reflection? Why?

Explanation / Answer

(1). Separation of the atomic planes d = 0.353 nm = 0.353 *10 ^ -9 m

Grazing angle of first order maximum  = 7.6degrees

We know from Bragg’s law 2 d sin = n

Where n = order

           = wavelength = ?

From above equation wavelength   = 2dsin / n

Where n = 1

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