Thermodynamics and Statistical Mechanics Heat Capacities Thermo Stat
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Thermodynamics and Statistical Mechanics Heat Capacities Thermo & Stat Mech Spring 2006 Class 20 1
Diatomic Gas A gas of diatomic molecules can have translational, rotational and vibrational energy. Because of the spacing of the energy levels of each type of motion, they are not all equally excited. This shows up in the heat capacity. Thermo & Stat Mech - Spring 2006 Class 20 2
Partition Function For one molecule, e = etrans + erot + evib Thermo & Stat Mech - Spring 2006 Class 20 3
Partition Function Thermo & Stat Mech - Spring 2006 Class 20 4
Translational Motion Thermo & Stat Mech - Spring 2006 Class 20 5
Vibrational Motion Thermo & Stat Mech - Spring 2006 Class 20 6
High and Low Temperature Limits Thermo & Stat Mech - Spring 2006 Class 20 7
Rotational Motion Thermo & Stat Mech - Spring 2006 Class 20 8
Rotational Motion Thermo & Stat Mech - Spring 2006 Class 20 9
Diatomic Gas Overall Thermo & Stat Mech - Spring 2006 Class 20 10
Graph Thermo & Stat Mech - Spring 2006 Class 20 11
Einstein Solid Thermo & Stat Mech - Spring 2006 Class 20 12
Einstein Temperature Thermo & Stat Mech - Spring 2006 Class 20 13
Einstein Heat Capacity Thermo & Stat Mech - Spring 2006 Class 20 14
Debye Model of Solid The solid is treated as a continuum, calculating the number of standing wave states in the frequency range between w and w + d w, and Bose-Einstein statistics is used to determine the number of phonons in each state. Then the energy can be calculated. Thermo & Stat Mech - Spring 2006 Class 20 15
Density of States (Lec 17) Thermo & Stat Mech - Spring 2006 Class 20 16
Transverse and Longitudinal Thermo & Stat Mech - Spring 2006 Class 20 17
Density of States Thermo & Stat Mech - Spring 2006 Class 20 18
Phonon Energy Thermo & Stat Mech - Spring 2006 Class 20 19
Debye Cutoff Thermo & Stat Mech - Spring 2006 Class 20 20
Debye Temperature Thermo & Stat Mech - Spring 2006 Class 20 21
Energy Thermo & Stat Mech - Spring 2006 Class 20 22
Heat Capacity Thermo & Stat Mech - Spring 2006 Class 20 23
Debye Heat Capacity Thermo & Stat Mech - Spring 2006 Class 20 24
High Temperature Thermo & Stat Mech - Spring 2006 Class 20 25
Low Temperature Thermo & Stat Mech - Spring 2006 Class 20 26