(a) Calculate the maximum value of the frequency of the optical branch and the corresponding wavelength. (b) Estimate the forbidden frequency band gap. The atomic masses of the Kand Cl atoms are 39 amu and 37 amu, respectively (1 amu 1.67x10-27 kg) = (Hint: You may need to use the Young modulus of elasticity to find the spring constant).
(a) Calculate the maximum value of the frequency of the optical branch and the corresponding wavelength. (b) Estimate the forbidden frequency band gap. The atomic masses of the Kand Cl atoms are 39 amu and 37 amu, respectively (1 amu 1.67x10-27 kg) = (Hint: You may need to use the Young modulus of elasticity to find the spring constant).
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![2) For a KCl crystal (that you came across in Ch. 1) the unit cell parameter is 6.3Å and the
Young's modulus of elasticity along (100] direction is 29.67 GPa (or 29.67 x10° N/m²).
(a) Calculate the maximum value of the frequency of the optical branch and the
corresponding wavelength. (b) Estimate the forbidden frequency band gap. The atomic
masses of the K and Cl atoms are 39 amu and 37 amu, respectively (1 amu 1.67x10-27
kg) = (Hint: You may need to use the Young modulus of elasticity to find the spring
constant).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39136d78-9fef-42c4-9a30-bf1aeaa166e7%2F0fd06fc6-594f-4cb5-a520-3fbf420ef004%2Foh5n26n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) For a KCl crystal (that you came across in Ch. 1) the unit cell parameter is 6.3Å and the
Young's modulus of elasticity along (100] direction is 29.67 GPa (or 29.67 x10° N/m²).
(a) Calculate the maximum value of the frequency of the optical branch and the
corresponding wavelength. (b) Estimate the forbidden frequency band gap. The atomic
masses of the K and Cl atoms are 39 amu and 37 amu, respectively (1 amu 1.67x10-27
kg) = (Hint: You may need to use the Young modulus of elasticity to find the spring
constant).
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