An electron is trapped in a tiny hole in an array of aluminum atoms (assume that they behave as uniform hard spheres). In this situation, the energy of the electron is quantized, and the lowest–energy transition (nx, ny, nz = 1,1,2➔ nx, ny, nz = 1,1,1) (particle in a box in 3 –dimensions) corresponds to a wavelength of 9.50 nm. Assuming that the hole can be approximated as a cube (face-centered), what is the radius of a spherical ion that will just fit in this hole?
An electron is trapped in a tiny hole in an array of aluminum atoms (assume that they behave as uniform hard spheres). In this situation, the energy of the electron is quantized, and the lowest–energy transition (nx, ny, nz = 1,1,2➔ nx, ny, nz = 1,1,1) (particle in a box in 3 –dimensions) corresponds to a wavelength of 9.50 nm. Assuming that the hole can be approximated as a cube (face-centered), what is the radius of a spherical ion that will just fit in this hole?
Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter7: Electronic Structure
Section: Chapter Questions
Problem 7.68QE
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An electron is trapped in a tiny hole in an array of aluminum atoms (assume that they behave as uniform hard spheres). In this situation, the energy of the electron is quantized, and the lowest–energy transition (nx, ny, nz = 1,1,2➔ nx, ny, nz = 1,1,1) (particle in a box in 3 –dimensions) corresponds to a wavelength of 9.50 nm. Assuming that the hole can be approximated as a cube (face-centered), what is the radius of a spherical ion that will just fit in this hole?
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