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CHEM 507

Statistical Thermodynamics

Statistical thermodynamics is where you stop taking macroscopic quantities like entropy and free energy on faith and start deriving them from the underlying microstates, the bridge between the abstract postulates of classical thermodynamics and the partition functions that actually let you compute things for real molecules. You'll work through ensemble theory (microcanonical, canonical, grand canonical) and then apply it to concrete systems: Einstein crystals, paramagnets, ideal gases, ortho-para hydrogen, adsorption and polymer models, with assessment driven by problem-heavy homework, quizzes, and written exams from McQuarrie and Hill. It's a graduate-level foundation that makes physical chemistry, kinetics, and any future work in soft matter or molecular simulation actually make sense rather than feel like memorized formulas.

Kredi3ECTS5FakülteFaculty of ScienceBölümChemistryKoordinatörFahri Alkan

Haftalık müfredat 14 hafta

Hafta 114–20 Eyl
Klasik termodinamik tekrarı: potansiyeller ve entropi
Review of Classical Thermodynamics:Fundamental relation, maximum entropy principle, Legendre transform, thermodynamic potentials
fundamental relationmaximum entropy principleLegendre transformthermodynamic potentials
Hafta 221–27 Eyl
Klasik termodinamik tekrarı: denge ve kararlılık
Review of Classical Thermodynamics: Extremum principles for equilibrium, Maxwell relations, response functions, stability of thermodynamic systems
extremum principlesMaxwell relationsresponse functionstermodinamik kararlılık
Hafta 328 Eyl – 4 Eki
Combinatorics, probability ve entropy temelleri
Basic results of combinatorics and elementary notions of probability, information-theoretic entropy
combinatoricsprobabilityinformation-theoretic entropy
Hafta 45–11 Eki
Statistical mechanics postulatları ve microcanonical ensemble
Postulates of Statistical Mechanics: Ergodic hypothesis, principle of a priori equal probabilities. Ensembles. Microcanonical ensemble
ergodic hypothesisa priori equal probabilitiesensemblemicrocanonical ensemble
Hafta 512–18 Eki
Einstein model, paramagnetism, negatif mutlak sıcaklık
Applications: Einstein model of crystals, simple model of paramagnetism, negative absolute temperature.
Einstein model of crystalsparamagnetismnegative absolute temperature
Hafta 619–25 Eki
Canonical Ensemble ve Partition Function Hesabı
Canonical ensemble. Calculation of canonical partition function for simple models.
canonical ensemblepartition function
Hafta 726 Eki – 1 Kas
Grand canonical ensemble ve genel ensemble teorisi
Grandcanonical ensemble. General ensemble theory.
grand canonical ensembleensemble theory
Hafta 82–8 Kas
Fluctuation ve ensemble denkliği
Fluctuations. Equivalence of ensembles
fluctuationequivalence of ensembles
Hafta 99–15 Kas
Klasik statistical mechanics
Classical statistical mechanics.
classical statistical mechanics
Hafta 1016–22 Kas
Özdeş parçacıklar ve quantum statistics
Systems composed of identical particles. Quantum statistics. Classical limit of quantum statistics.
özdeş parçacıklarquantum statisticsklasik limit
Hafta 1123–29 Kas
Klasik ideal gazlar ve nuclear-spin istatistiği
Classical ideal gases: mono-atomic and diatomic molecules. Nuclear-spin and statistics; ortho-para hydrogen
mono-atomic moleculesdiatomic moleculesnuclear spinortho-para hydrogen
Hafta 1230 Kas – 6 Ara
Vibrational ve rotational partition function'lar
Vibrational and rotational partition functions for polyatomic molecules. Symmetry number.
vibrational partition functionrotational partition functionpolyatomic moleculesymmetry number
Hafta 137–13 Ara
İdeal gaz karışımlarında chemical equilibrium
Chemical equilibrium in ideal gas mixtures
chemical equilibriumideal gas mixtures
Hafta 1414–20 Ara
Lattice statistics: adsorption ve polymer chain
Introduction to lattice statistics: Simple models of adsorption, polymer chains.
lattice statisticsadsorption modelleripolymer chains

Değerlendirme 100% · 5 adım

20%
20%
40%
5%
15%
Midterm:Essay/written M1, M2 40%
Final:Essay/written F 40%
Homework HW 5%
Quiz Q1,Q2 15%
en büyük tek kalem %40 · sınav ağırlığı %95 nasıl hesaplanıyor

Önerilen kaynaklar 3 kitap

📖
Önerilen
Statistical Mechanics
McQuarrie
2000 · University Science Books
📖
Önerilen
Thermodynamics an an introduction to Thermostatistics
H. Callen
1985/2nd · Wiley
📖
Önerilen
Introduction to Statistical Thermodynamics
T. L. Hill
1986 · Dover

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⚠️ FZ engelleyen şartlar

1) 75% attendance in classes 2) Collecting at least 15 points out of the total 60 points assigned to midterms, quizzes and homeworks

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