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Breakdown of equipartition of energy for vibrational heat capacity of diatomic molecular gas due to nonvanishing bond length

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arxiv 2012.08258 v1 pith:TP2FIEKU submitted 2020-12-15 cond-mat.stat-mech physics.class-ph

Breakdown of equipartition of energy for vibrational heat capacity of diatomic molecular gas due to nonvanishing bond length

classification cond-mat.stat-mech physics.class-ph
keywords bondenergylengthvibrationalcapacitydiatomicequipartitionheat
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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When the theorem of equipartition of energy applies to the vibrational degree of freedom within diatomic molecular gas, the bond length is usually taken as zero so that the theorem is valid. Once the bond length is taken into consideration, calculations show that the mean energy of the vibrational heat capacity will significantly deviate from the standard value near the high temperature which breaks down the bond.

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