A modification of the Debye theory was introduced by Born, who proposed a different cutoff for...

 

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A modification of the Debye theory was introduced by Born, who proposed a different cutoff for the spectrum of vibrational modes. He proposed that the cutoff be made such that both the longitudinal and transverse modes have a common minimum wavelength. If we denote this common minimum wavelength by Am, then Am Viong = Clong and A Virans = Ctrans, Equation now becomes Vi p2 dv 47V 2 v2 dv + = 3N Show that this leads to the following expression for the specific heat: Cy +2D where D(x) is the Debye function 3 x ez4 dz D(x)- (e* – 1)2 A modification of the Debye theory was introduced by Born, who proposed a different cutoff for the spectrum of vibrational modes. He proposed that the cutoff be made such that both the longitudinal and transverse modes have a common minimum wavelength. If we denote this common minimum wavelength by Am, then Am Viong = Clong and A Virans = Ctrans, Equation now becomes Vi p2 dv 47V 2 v2 dv + = 3N Show that this leads to the following expression for the specific heat: Cy +2D where D(x) is the Debye function 3 x ez4 dz D(x)- (e* – 1)2

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Given Ve 3N then ... View the full answer