CU-303 Statistical Thermodynamics

Unit · year 3

CU-303 · Statistical Thermodynamics

Threads energy · quantum24 lectures5 results

Bridging molecular energy levels to bulk thermodynamic properties.

PREREQUISITES

Lectures

L01	The Programme: From Molecules to Bulk Properties —
L02	Microstates and Configurations —
L03	The Boltzmann Distribution The Boltzmann distribution of populations
L04	Deriving the Boltzmann Distribution The Boltzmann distribution of populations
L05	Temperature as a Population Ratio The Boltzmann distribution of populations
L06	The Molecular Partition Function The molecular partition function
L07	Interpreting q as Accessible States The molecular partition function
L08	The Translational Partition Function The molecular partition function
L09	The Rotational Partition Function The molecular partition function
L10	The Vibrational Partition Function The molecular partition function
L11	The Electronic Partition Function The molecular partition function
L12	Factorising the Total Partition Function The molecular partition function
L13	Internal Energy from q Heat capacity from energy levels
L14	Heat Capacity from Energy Levels Heat capacity from energy levels
L15	The Vibrational Contribution to Cv Heat capacity from energy levels
L16	The Equipartition Theorem The equipartition theorem
L17	Where Equipartition Fails The equipartition theorem, Heat capacity from energy levels
L18	The Statistical Definition of Entropy The statistical definition of entropy
L19	The Boltzmann Entropy Formula The statistical definition of entropy
L20	Residual Entropy The statistical definition of entropy
L21	Free Energy from the Partition Function The molecular partition function
L22	Equilibrium Constants from Partition Functions The molecular partition function
L23	The Statistical Basis of Transition State Theory —
L24	Synthesis: The Bridge from Levels to Thermodynamics The molecular partition function, The statistical definition of entropy

Results in this unit

T-082

The molecular partition function

The bridge from energy levels to thermodynamics.

T-083

The Boltzmann distribution of populations

How molecules populate available energy levels.

T-084

The equipartition theorem

An average of (1/2)kT per quadratic degree of freedom.

T-085

The statistical definition of entropy

Boltzmann's S = k ln W.

T-086

Heat capacity from energy levels

The Einstein and Debye models of solids.