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Chapter 36: Q64P (page 1113)

What is the smallest Bragg angle for x rays of wavelength 30 pm to reflect from reflecting planes spaced 0.30 nm apart in a calcite crystal?

Short Answer

Expert verified

The angle minimum will be θ=2.9°.

Step by step solution

01

Introduction

Diffraction is a phenomena in which the interference or the bending of waves occurs around the corners of the opening or obstacle through or on which it strikes.

The diffraction formula is following,

nλ=2dsinθλ=wavelengthd=spacingθ=bragganglen=orderofdiffraction

02

Given

λ=30pmd=0.30nm

03

The smallest Bragg angle

For smallest angle value n will be 1 so putting all the values the angle minimum will be,

θ=sin-1nλ2dθ=sin-11×30pm2×0.30×103pmθ=2.9°

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