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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Bombay

The Syllabus

  • A recap of concepts of chemical thermodynamics and need to study statistical thermodynamics. 
  • Introducing the concepts of statistical thermodynamics, configurations and weights, Boltzmann distribution.
  • Introducing the molecular partition function, discussion on various terms therein, interpretation of partition function and discussion on its applications. 
  • Connecting partition function with population of molecules in energy states and deriving expression for translational partition function for a molecule free to move in one dimension: discussion on physical meaning of all the terms in translational partition function. 
  • Deriving partition function for translational motion of particle in 2 and 3-dimensions; applications; tutorial problems based on  population of states and partition function.

  • Internal energy in terms of molecular partition function; establishing relationship between β and temperature;  associated numerical problems/applications
  • Discussion on statistical entropy and derivation of Boltzmann formula S = klnW
  • Relationship of entropy with partition function and its applications 
  • Introducing concepts of ensembles (microcanonical, canonical and grand canonical): dominating configurations, canonical distribution and discussion on canonical partition function
  • Obtaining thermodynamic information in partition function: internal energy and entropy

  • Further discussion on entropy; Recovering molecular partition function from canonical partition function: establishing relationship between them for distinguishable and indistinguishable molecules and corresponding numerical problems/applications
  • Discussion on partition function for a monoatomic perfect gas, derivation of Sackur-Tetrode equation and discussion on concept/terms involved therein
  • Numerical problems based on Sackur-Tetrode equation and comparison of the result with those based on concept of classical thermodynamics
  • Thermodynamic functions in terms of canonical partition function: Heltmotz energy, pressure; associated numerical problems/applications
  • Enthalpy in terms of canonical partition function; associated applications and obtaining ideal gas equation from the use of the canonical partition function

  • Gibbs energy in terms of canonical partition function and associated applications/problems
  • Rotational contribution (for linear and non-linear rotor) to partition function and associated numerical problems/applications
  • Vibrational and electronic contributions to partition function;   Overview of different contributions to overall partition function, associated numerical problems/applications
  • Overview of different contributions to overall partition function, associated numerical problems/applications continued
  • Mean energies (translational, rotational and vibrational) in terms of partition function and associated numerical problems/applications

  • Heat capacities in terms of translational, rotational, vibrational contributions and effect of dissociation (with numerical problems/applications)
  • Residual entropy (discussion in terms of statistical and chemical thermodynamics with suitable examples)
  • Deriving equilibrium constant in terms of partition function and associated numerical problems/applications
  • Introduction to gas imperfection; Equations of state; Introduction to virial coefficients
  • Configuration integral; Mayer f-function; hard sphere potential; Virial Coefficients

  • Derivation of equations of state with examples
  • Radial Distribution Functions and their applications in selected systems
  • Interpretation of thermodynamic quantities by Lattice Models
  • Fermi-Dirac and Bose-Einstein statistics
  • Overall summary on different topics covered in statistical thermodynamics and future perspectives

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