5.7. The Debye e of diamond is 2000 K, its density is 3500 kg m3, its atomic weight is 12 and the interatomic spacing is 0-15 nm. Calculate the velocity of sound in diamond. Make an estimate of the dominant phonon wavelength at 300 K (see section 6.4) and calculate the frequency of lattice vibration to which this cor- responds.

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5.7. The Debye 0 of diamond is 2000 K, its density is 3500 kg m-³, its atomic weight
is 12 and the interatomic spacing is 0-15 nm. Calculate the velocity of sound in
diamond. Make an estimate of the dominant phonon wavelength at 300 K (see
section 6.4) and calculate the frequency of lattice vibration to which this cor-
responds.
Transcribed Image Text:5.7. The Debye 0 of diamond is 2000 K, its density is 3500 kg m-³, its atomic weight is 12 and the interatomic spacing is 0-15 nm. Calculate the velocity of sound in diamond. Make an estimate of the dominant phonon wavelength at 300 K (see section 6.4) and calculate the frequency of lattice vibration to which this cor- responds.
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
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