Lecture 11 - Molecules with Internal Motion 1...

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Molecules with Internal Motion 1) Intermolecular interactions are negligible 2) Classical gas 3 1 n  1 (1) (1) 1 trans int (1) (1) (1) (1) (1) nuc rot int elec vib ( , ) ! ( , ) N N Q Q V T N Q V T Q Q Q Q Q Q Q For example diatomic molecules: 6 degrees of freedom for the 2 nuclei 3 translations for center of mass 1 vibration along the axis 2 rotations of the axis in space ( , )   Diatomic Molecules dissociation 4 5 4 5 10 10 10 10 kT E K T K   Practically no molecule in the excited state as well (exception oxygen at 2000 6000 T K ) diss 55,000 E K but excited 11000 E K Vibrational States 3 10 K k Almost full contribution for 4 10 T No contribution for 2 10 T Temperature is not high enough to excite vibrational states of high energy harmonic oscillation. Partition Function: 1 2 vib 0 n n Q e
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v v 2 / v v v vib / 2 ; 1 T T e C Nk T k e
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