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先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
后续课程、其它学习规划
Courses for which this course
is a pre-requisite
其它要求修读本课程的学系
Cross-listing Dept.
Chemical kinetics and dynamics remains one of the most exciting areas in modern chemistry. A student that successfully
completes this course will develop skills in methods that allow the quantitative description of chemical change. While
many portions of the undergraduate chemistry curriculum emphasize descriptive and qualitative treatments, the present
course develops a much more mathematical and computational formulation. Students will learn to construct predictive
models that describe the time evolutions of chemical concentrations and other attributes of kinetic systems including ab
initio theories of rate coefficients.
A student completing this course will learn to (1) compute the rates of chemical reactions using ab initio data using
statistical theories of reaction, transition state theory and RRKM theory, (2) analyse the behaviour of complex reaction
networks using methods such as sensitivity analysis, and (3) construct kinetic models to represent problems of interest in
physical chemistry and catalysis
课程内容及教学日历 (如授课语言以英文为主,则课程内容介绍可以用英文;如团队教学或模块教学,教学日历须注明
主讲人)
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
1. Mass action kinetics. The construction of rate laws for elementary reactions in gas phase systems is discussed.
The structure of kinetic equations for multi-step chemical mechanisms is presented including the role of conservation
laws and micro-reversibility. Approximate solutions of the kinetic equations using the quasi-steady state approximation is
presented. Network analysis and sensitivity analysis is discussed for complex mechanisms. Models for chain branching
chemical reactions are presented. (4 hrs)
2. Evaluation of rate coefficients. Transition State Theory is derived for bimolecular chemical reactions. A brief
review of statistical thermodynamics, kinetic theory of gases, and potential energy surfaces is presented as a necessary
introduction to the formalism. Additional topics of discussion include the theory of quantum tunnelling, isotope effects,
and thermodynamics formulation. (4 hrs)
3. Unimolecular reactions and energy transfer. The RRKM theory of unimolecular reaction rates is derived. The
role of intramolecular and intermolecular energy transfer is discussed. State counting algorithms are introduced. (4 hrs)
4. Reactions in condensed phase environments. The theory of diffusion controlled reactions is presented for
chemical reactions occurring in solution phase. Chemical reactions on catalytic surfaces is analysed. The rates of
electron transfer reactions in condensed phase is modelled using the Marcus theory of electron transfer. (4 hrs)
教材及其它参考资料 Textbook and Supplementary Readings