Thermo & Stat Mech - Spring 2006 Class 20 1 Thermodynamics and Statistical Mechanics Heat Capacities.

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Presentation transcript:

Thermo & Stat Mech - Spring 2006 Class 20 1 Thermodynamics and Statistical Mechanics Heat Capacities

Thermo & Stat Mech - Spring 2006 Class 202 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 203 Partition Function For one molecule,  =  trans +  rot +  vib

Thermo & Stat Mech - Spring 2006 Class 204 Partition Function

Thermo & Stat Mech - Spring 2006 Class 205 Translational Motion

Thermo & Stat Mech - Spring 2006 Class 206 Vibrational Motion

Thermo & Stat Mech - Spring 2006 Class 207 High and Low Temperature Limits

Thermo & Stat Mech - Spring 2006 Class 208 Rotational Motion

Thermo & Stat Mech - Spring 2006 Class 209 Rotational Motion

Thermo & Stat Mech - Spring 2006 Class 2010 Diatomic Gas Overall

Thermo & Stat Mech - Spring 2006 Class 2011 Graph

Thermo & Stat Mech - Spring 2006 Class 2012 Einstein Solid

Thermo & Stat Mech - Spring 2006 Class 2013 Einstein Temperature

Thermo & Stat Mech - Spring 2006 Class 2014 Einstein Heat Capacity

Thermo & Stat Mech - Spring 2006 Class 2015 Debye Model of Solid The solid is treated as a continuum, calculating the number of standing wave states in the frequency range between  and  + d , 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 2016 Density of States (Lec 17)

Thermo & Stat Mech - Spring 2006 Class 2017 Transverse and Longitudinal

Thermo & Stat Mech - Spring 2006 Class 2018 Density of States

Thermo & Stat Mech - Spring 2006 Class 2019 Phonon Energy

Thermo & Stat Mech - Spring 2006 Class 2020 Debye Cutoff

Thermo & Stat Mech - Spring 2006 Class 2021 Debye Temperature

Thermo & Stat Mech - Spring 2006 Class 2022 Energy

Thermo & Stat Mech - Spring 2006 Class 2023 Heat Capacity

Thermo & Stat Mech - Spring 2006 Class 2024 Debye Heat Capacity

Thermo & Stat Mech - Spring 2006 Class 2025 High Temperature

Thermo & Stat Mech - Spring 2006 Class 2026 Low Temperature