In the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.420 nm makes an angle 0 = What is the unit cell size ao? 61.9° with the top face of the crystal. X rays ao

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter19: Interference And Diffraction
Section: Chapter Questions
Problem 54A
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**Chapter 36, Problem 070 GO**

In the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.420 nm makes an angle θ = 61.9° with the top face of the crystal. What is the unit cell size \( a_0 \)?

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Below the text is a diagram illustrating the setup for the problem. In the diagram:

- There are several parallel planes represented by horizontal lines, and on these lines, there are several evenly spaced points represented by small green circles.
- The vertical distance between adjacent planes is labeled \( a_0 \).
- A red line, labeled "X rays," makes an angle \( \theta \) with one of these planes.
- The angle \( \theta \) is shown explicitly between the incoming x-ray path and the top plane.

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To input the answer, there is a box labeled "Number" for the value, and another labeled "Units" for specifying the unit of the measurement (likely nanometers, given the context).

[Answer input section]
Number: [_________]
*1 Units [_________]

This problem involves applying principles of X-ray diffraction and crystallography to determine the unit cell size of the crystal. Users would likely need to use Bragg's law, given the wavelength and angle provided.
Transcribed Image Text:**Chapter 36, Problem 070 GO** In the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.420 nm makes an angle θ = 61.9° with the top face of the crystal. What is the unit cell size \( a_0 \)? ------------------------------------------ Below the text is a diagram illustrating the setup for the problem. In the diagram: - There are several parallel planes represented by horizontal lines, and on these lines, there are several evenly spaced points represented by small green circles. - The vertical distance between adjacent planes is labeled \( a_0 \). - A red line, labeled "X rays," makes an angle \( \theta \) with one of these planes. - The angle \( \theta \) is shown explicitly between the incoming x-ray path and the top plane. ------------------------------------------ To input the answer, there is a box labeled "Number" for the value, and another labeled "Units" for specifying the unit of the measurement (likely nanometers, given the context). [Answer input section] Number: [_________] *1 Units [_________] This problem involves applying principles of X-ray diffraction and crystallography to determine the unit cell size of the crystal. Users would likely need to use Bragg's law, given the wavelength and angle provided.
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