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The I2 molecule has a vibrational frequency of 6.44 THz. What will be the temperature condition...

The I2 molecule has a vibrational frequency of 6.44 THz. What will be the temperature condition in which the constant volume heat capacity will mostly manifest its classic character?

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Answer #1

The Debye temperature indicates the approximate temperature limit below which quantum effects may be observed. So for classic character T >

Debye temperature is given by θD = hf/k

where k is Boltzmann’s constant(1.38 x 10 -23 J/K) , h is Planck’s constant(6.6 ×10−34 J⋅s), and f is the maximum frequency of the vibrations(6.44 x 1012 Hz)

Hence, T > (6.6 ×10−34)x(6.44 x 1012 ) /  1.38 x 10 -23

T > 308 K

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