5.1. A crystal is composed of identical atoms which only interact with one anotber very weakly. Each has a set of three equally spaced singlet energy levels, E,, E2, E3, such that E2-E, temperature at which (a) there are equal numbers (to within I per cent) of atoms in each of the three states. (b) 99 per cent of the atoms are in the ground state E1. (c) If the energy level E, is doubly degenerate calculate the temperature for (b). (d) Why in (a) cannot truly equal populations be achieved? - 10-23 J and E,-E, 2x 10-23 J. Calculate the

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 38P: Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7)...
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Answers to above Problems.
Chapter 5, pp. 93-4
5.1. (a) > 144 K: (b) 0-16 K: (c) 0-136 K: (d) T = x required.
5.2. 6-3 x 10-97J: 6-3 & 10-8J: 71 J: 2700 J; >500 K.
5.3. 7470 J mol-: ~4000 J mol.
5.4. 169 K.
5.5. 1-55 x 10-2 J mol. 2-4 x 10-3 J mol .
5.6. (a) ~8000J: (b) ~640 J. (c) 2-89 J: 31:0-24 1: 10-31.
5.7. 1-2 x 10ms:1 nm: 1-2x 1013 Hz.
%3D
Transcribed Image Text:Answers to above Problems. Chapter 5, pp. 93-4 5.1. (a) > 144 K: (b) 0-16 K: (c) 0-136 K: (d) T = x required. 5.2. 6-3 x 10-97J: 6-3 & 10-8J: 71 J: 2700 J; >500 K. 5.3. 7470 J mol-: ~4000 J mol. 5.4. 169 K. 5.5. 1-55 x 10-2 J mol. 2-4 x 10-3 J mol . 5.6. (a) ~8000J: (b) ~640 J. (c) 2-89 J: 31:0-24 1: 10-31. 5.7. 1-2 x 10ms:1 nm: 1-2x 1013 Hz. %3D
5.1. A crystal is composed of identical atoms which only interact with one anotber
very weakly. Each has a set of three equally spaced singlet energy levels, E,, E2,
E3, such that E2-E,
temperature at which (a) there are equal numbers (to within 1 per cent) of atoms
in each of the three states. (b) 99 per cent of the atoms are in the ground state
E1. (c) If the energy level E, is doubly degenerate calculate the temperature for
(b). (d) Why in (a) cannot truly equal populations be achieved?
- 10-23 J and E,-E, 2x 10-23 J. Calculate the
Transcribed Image Text:5.1. A crystal is composed of identical atoms which only interact with one anotber very weakly. Each has a set of three equally spaced singlet energy levels, E,, E2, E3, such that E2-E, temperature at which (a) there are equal numbers (to within 1 per cent) of atoms in each of the three states. (b) 99 per cent of the atoms are in the ground state E1. (c) If the energy level E, is doubly degenerate calculate the temperature for (b). (d) Why in (a) cannot truly equal populations be achieved? - 10-23 J and E,-E, 2x 10-23 J. Calculate the
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