Using Bragg’s law, calculate the diffraction angles (2θ) for all the peaks in thediffraction pattern of aluminum (Al) powders, given that Al has the FCC (facecentered cubic) crystal structure, and has an atomic radium of 0.143 nm. Please verify they are the first order diffraction patterns.

Using Bragg’s law, calculate the diffraction angles (2θ) for all the peaks in thediffraction pattern of aluminum (Al) powders, given that Al has the FCC (facecentered cubic) crystal structure, and has an atomic radium of 0.143 nm. Please verify they are the first order diffraction patterns.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 14P

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Using Bragg’s law, calculate the diffraction angles (2θ) for all the peaks in the
diffraction pattern of aluminum (Al) powders, given that Al has the FCC (face
centered cubic) crystal structure, and has an atomic radium of 0.143 nm. Please verify they are the first order diffraction patterns.

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