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課程名稱 |
高等物理化學一
ADVANCED PHYSICAL CHEMISTRY (I) (CHEM. THERMODYNAMICS) |
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開課學期 |
98-1 |
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授課對象 |
理學院 化學所化學組 |
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授課教師 |
牟中原 |
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課號 |
Chem7031 |
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課程識別碼 |
223 M1310 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期二6(13:20~14:10)星期四1,2(8:10~10:00) |
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上課地點 |
化121化121 |
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備註 |
本課程中文授課,使用英文教科書。外系所學生選修需經授課教師同意。
限碩士班以上
總人數上限：50人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/981advphychem1 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
This course is on the equilibrium thermodynamics with introduction concept to statistical thermodynamics. It assumes some previous background in chemical thermodynamics. However, all the thermodynamics principles will be reviewed in the introductory chapters.
Traditional thermodynamics was taught with examples from ideal gas and ideal solution. However, that is already quite familiar to you. I would like to teach in a non-traditional way. This course is designed to teach chemical thermodynamics with a strong connection to statistical concepts and examples will be scattered over polymer and solution which will be more useful to chemists. I intend to follow the textbook of Bowley and Sanchez “Introductory Statistical Mechanics”(2nd ed) mostly. However, I will sometimes add my own materials.
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課程目標 |
We target the followings for studies
1.Concise review of chemical thermodynamics
2.Concept of probability and statistics
3.Ensemble and probability
4.Entropy and probability
5.Identical particles
6.Phase transition |
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課程要求 |
已修過物理化學 |
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預期每週課後學習時數 |
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Office Hours |
每週一 09:00~10:00
每週二 09:00~10:00
每週三 09:00~10:00
每週五 09:00~10:00 |
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指定閱讀 |
Bowley and Sanchez, Introductory Statistical Mechanics SECOND EDITION |
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參考書目 |
BenjaminWidom, Statistical Mechanics: A Concise introduction for Chemists,
Cambridge University Press (2002)
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
1st exam |
20% |
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2. |
2nd exam |
30% |
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3. |
final exam |
50% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/15, 9/17 |
MIT Open Course Ware-MIT5.60 Thermodynamics & Kinetics,影片瀏覽。
0 Introduction to Thermodynamics and Statistical Thermodynamics
0.1 Principle of Detailed Balance
0.2 Microscopic Meaning of Equilibrium
0.3 Free energy
0.4 Boltzmann Distribution
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第2週 |
9/22,9/24 |
1.3 Different aspects of equilibrium,
1.4 Functions of state,
1.5 Internal energy,
1.6 Reversible changes,
1.7 Enthalpy,
1.8 Heat capacities,
1.9 Reversible adiabatic changes in an ideal gas,
1.10 Problems.
2 Entropy and the second law of thermodynamics：
2.1 A first look at the entropy,
2.2 The second law of thermodynamics.
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第3週 |
9/29,10/01 |
2.3 The Carnot cycle,
2.4 The equivalence of the absolute and the perfect gas scale of temperature,
2.5 Definition of entropy,
2.6 Measuring the entropy,
2.7 The law of increase of entropy,
2.8 Calculations of the increase in the entropy in irreversible processes,
2.9 The approach to equilibrium,
2.10 Questions left unanswered,
2.11 Problems.
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第4週 |
10/06,10/08 |
1st exam. 3 Probability and statistics：
3.1 Ideas about probability,
3.2 Classical probability,
3.3 Statistical probability.
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第5週 |
10/13,10/15 |
3.4 The axioms of probability theory,
3.5 Independent events,
3.6 Counting the number of events,
3.7 Statistical and distributions,
3.8 Problems.
4 The ideas of statistical mechanics,
4.1 Introduction,
4.2 Definition of the quantum state of the system.
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第6週 |
10/20,10/22 |
4.3 A simple model of spins on lattice sites,
4.4 Equations of state,
4.5 The second law of thermodynamics,
4.6 Problems.
5 The canonical ensemble：
5.1 A system in contact with a heat bath,
5.2 The partition function,
5.3 Definition of the entropy in the canonical ensemble.
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第7週 |
10/27,10/29 |
5.4 The bridge to thermodynamics through Z,
5.5 The condition for thermal equilibrium,
5.6 Thermodynamic quantities from ln(Z),
5.7 Two-level system,
5.8 Single particle in a one-dimensional box,
5.9 Single particle in a three-dimensional box,
5.10 Expressions for heat and work.
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第8週 |
11/03,11/05 |
5.11 Rotational energy levels for diatomic molecules,
5.12 Vibrational energy levels for diatomic molecules,
5.13 Factorizing the partition function,
5.14 Equipartition theorem,
5.15 Minimizing the free energy,
5.16 Problems.
6 Identical particles,
6.1 Identical particles,
6.2 Symmetric and ant symmetric wavefunctions.
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第9週 |
11/10,11/12 |
6.3 Bose particles or bosons,
6.4 Fermi particles or fermions,
6.5 Calculating the partition function for identical particles,
6.6 Spin,
6.7 Identical particles localized on lattice sites,
6.8 Identical particles in a molecule,
6.9 Problems.
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第10週 |
11/17,11/19 |
2nd exam |
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第11週 |
11/24,11/26 |
7 Maxwell distribution of molecular speeds：
7.1 The probability that a particle is in a quantum state,
7.2 Density of states in k space,
7.3 Single-particle density of states in energy,
7.4 The distribution of speeds of particles in a classical gas.
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第12週 |
12/01,12/03 |
7.5 Molecular beams
7.6 Problems.
8 System with variable numbers of particles：
8.1 Systems with variable number of particles,
8.2 The condition for chemical equilibrium,
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第13週 |
12/08,12/10 |
8.3 The approach to chemical equilibrium.
8.4 The chemical potential,
8.5 Reactions,
8.6 External chemical potential,
8.7 The grand canonical ensemble,
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第14週 |
12/15,12/17 |
8.8 Absorption of atoms on the surface sites.
8.9 The grand potential,
8.10 Problems.
9 Phase transitions：
9.1 Phases,
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第15週 |
12/22,12/24 |
9.2 Thermodynamic potential,
9.3 Approximation.
9.4 First-order phase transition
9.5 Clapeyron equation.
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第16週 |
12/29,12/31 |
9.5 Clapeyron equation,
9.6 Phase separation,
9.7 Phase separation in mixtures,
9.8 Liquid-gas system,
9.9 Problems.
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第17週 |
1/05,1/07 |
final exam |
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第18週 |
student report |
student report |
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