Answered: what the energy of neutron is suitable…

what the energy of neutron is suitable for crystal diffraction [the atomic spacing between two bonded atoms is generally around a few ångströms (A)]?

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter4: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 33P

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what the energy of neutron is
suitable for crystal diffraction
[the atomic spacing between
two bonded atoms is generally
around a few ångströms (Å)]?

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Calculate the number of Frenkel defects per cubic meter in potassium chloride at 500°C. The energy required to form each Frenkel defect is 2.6 eV, whereas the density for KCl is 1.955 g/cm3.
Calculate the number of Frenkel defects per cubic meter in Al2O3 if the energy required to create a Frenkel defect is 1.75 eV at 410 oC . The density of Al2O3 is 3.27 g/cm3.
Energy bands are considered continuous due to the largenumber of closely spaced energy levels. The range of energylevels in a crystal of copper is approximately 1 * 10–19 J.Assuming equal spacing between levels, the spacing betweenenergy levels may be approximated by dividing therange of energies by the number of atoms in the crystal.(a) How many copper atoms are in a piece of copper metalin the shape of a cube with edge length 0.5 mm? The densityof copper is 8.96 g/cm3. (b) Determine the averagespacing in J between energy levels in the copper metal inpart (a). (c) Is this spacing larger, substantially smaller, orabout the same as the 1 * 10–18 J separation between energylevels in a hydrogen atom?
Energy bands are considered continuous due to the largenumber of closely spaced energy levels. The range of energylevels in a crystal of copper is approximately 1 x 10–19 J.Assuming equal spacing between levels, the spacing betweenenergy levels may be approximated by dividing therange of energies by the number of atoms in the crystal.(a) How many copper atoms are in a piece of copper metalin the shape of a cube with edge length 0.5 mm? The densityof copper is 8.96 g/cm3. (b) Determine the averagespacing in J between energy levels in the copper metal inpart (a). (c) Is this spacing larger, substantially smaller, orabout the same as the 1 x 10–18 J separation between energylevels in a hydrogen atom?
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