Question
Debye temperature for diamond is 2230 K. Calculate the frequency of highest possible lattice vibration in diamond and its molar heat capacity at 20 K
Answer :
Word Count : 246
To solve this problem numerically, let's break it into two parts: ### (A) Calculate the highest possible lattice vibration frequency (\(\nu_{\text{max}}\)) The Debye temperature (\(\Theta_D\)) is related to the highest frequency (\(\nu_{\text{max}}\)) of lattice vibrations by the equation: \[ h \nu_{\text{max}} = k_B \Theta_D \] where: - \( h __________ ________ _____ ________ _______ ______ ____ ______ ___ __________.
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To solve this problem numerically, let's break it into two parts: ### (A) Calculate the highest possible lattice vibration frequency (\(\nu_{\text{max}}\)) The Debye temperature (\(\Theta_D\)) is related to the highest frequency (\(\nu_{\text{max}}\)) of lattice vibrations by the equation: \[ h \nu_{\text{max}} = k_B \Theta_D \] where: - \( h __________ ________ _____ ________ _______ ______ ____ ______ ___ __________.
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