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Comparing Heat Capacities of Glasses and Crystals

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Comparing Heat Capacities of Glasses and Crystals

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Questions and Answers

What is the kinetic energy per degree of freedom for each particle in a structure?

$kB$

$2kB$

$4kB$

$0.5kB$ (correct)

In what scenario does the law of Dulong and Petit apply as a good approximation for the molar heat capacity?

For complex structured solids at high temperatures

For mono-atomic metals at any temperature

For crystalline solids at high temperatures (correct)

For glasses at low temperatures

What happens to the heat capacity of solids at low temperatures according to the text?

It increases

It decreases (correct)

It oscillates

It remains constant

How many degrees of freedom are considered when a solid has a complex structure?

3 degrees of freedom Signup and view all the answers

Which law deviates from the experimental results at low temperatures for heat capacity?

Law of Dulong and Petit Signup and view all the answers

What does the heat capacity of solids tend towards as temperature approaches zero?

$0$ Signup and view all the answers

What does the Debye model take into account for better predictions of heat capacities in solids?

Elastic vibrations of the whole body Signup and view all the answers

What is the significance of the Debye temperature (θD) in relation to heat capacities of solids?

A lower θD implies more vibrational modes are excited at lower temperatures Signup and view all the answers

How does the heat capacity behavior of electron conductors differ from isolators at extremely low temperatures?

Electron conductors show a T1-law while isolators exhibit a T3-law Signup and view all the answers

How do monoatomic metals align with the Dulong-Petit Law in terms of heat capacities?

They fully comply with the Dulong-Petit Limit Signup and view all the answers

How does the metallic bond impact the heat capacity of metals compared to what might be initially expected?

Most electrons cannot contribute to heat capacity due to already occupied energy states below the Fermi distribution Signup and view all the answers

How do the heat capacities of a glass and its iso-chemical crystal usually compare below the glass transition temperature (Tg)?

The heat capacities are identical for both materials directly below Tg Signup and view all the answers