   # X rays from a copper X-ray tube ( λ = 154 pm) were diffracted at an angle of 14.22 degrees by a crystal of silicon. Assuming first-order diffraction (n = 1 in the Bragg equation), what is the interplanar spacing in silicon? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 9, Problem 47E
Textbook Problem
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## X rays from a copper X-ray tube (λ = 154 pm) were diffracted at an angle of 14.22 degrees by a crystal of silicon. Assuming first-order diffraction (n = 1 in the Bragg equation), what is the interplanar spacing in silicon?

Interpretation Introduction

Interpretation:

The interplanar distance of the silicon crystal has to be determined.

Concept introduction:

The structure of a crystalline solid can be determined by X-ray diffraction method using the Bragg equation,

Where,   =2dsinθn=order of diffraction, positive integer.λ=wavelength of  incident light.d =interplanar distance of a crystal.θ=angle of incident light.

### Explanation of Solution

Explanation

Calculate the interplanar distance of the silicon crystal.

Given data:  λ=154pm=154×10-12mθ=14.22on=1,firstorderdiffraction

=2dsinθ1×154×

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