Print

2019　Chemical Kinetics

Font size  SML

Register update notification mail Add to favorite lecture list
Academic unit or major
Undergraduate major in Chemistry
Instructor(s)
Kitajima Masashi 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon1-2(H137)  Thr1-2(H137)  
Group
-
Course number
CHM.C334
Credits
2
Academic year
2019
Offered quarter
4Q
Syllabus updated
2019/3/18
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

The course gives the overview of the physical chemistry of collisions. First of all, the concept of the collision cross section is presented. Then the collision is treated in a classical manner. The relation between the orbit of the colliding particle and the interaction potential is expalined. The differential cross section of the Rutherford scattering is derived. After that we move on to the quantum mechanics. It is expalined that the collision is described by the unbound solution of the wave equation. Then, the manner of obtaining the collision cross section is presented. Finally, the Bethe approximation, which is widely used, is discussed.
The aim of this course is getting the recipe for understanding reactions from the point of view of mechanics.

Student learning outcomes

By the end of this course students will be able to understand that the chemical reaction is considered a kind of collision processes and will get the method of discussing the reaction in both of classcal manner and quantal manner.

Keywords

collision cross section, differential cross section, elastic and inelastic collision, interactionpotential, orbit, two-body problem, bound and unbound solution, scattering amplitude, Bethe approximation

Competencies that will be developed

✔ Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

In the the first seven classes the physical chemistry of collisions is discussed from the classical points of view, and in the next eight classes the physical chemistry of collisions is discussed from the quantal points of view.

Course schedule/Required learning

  Course schedule Required learning
Class 1 The chemical reaction and atomic and molecular collision Understand the relation between the chemical reaction and atomic and molecular collision.
Class 2 The atomic and molecular collision(1)-the energy conservation law and collision Classify　collisions in terms of the energy conservation law
Class 3 The atomic and molecular collision(2)-the reaction cross section and reaction rate constant Explain the relation between the reaction cross section and reaction rate constant.
Class 4 The atomic and molecular collision(3)-the differential crsoss section and interaction between two particles Understand the relation between the differential cross section and two-body interaction.
Class 5 The collision from the classical points of view(1)-the potential energy and orbit Understand that the collision orbit is governed by the intermolecular potential.
Class 6 The collision from the classical points of view(2)-Collision from the classical point of view and the collision cross section in the classical mechanics Understand the collision under the centrifugal coulomb potential from the classical point of view and obtain its collision cross section.
Class 7 The two-body problem in the quantum mechanics(the separation of the motion of the center of mass and the relative motion) Understand that the wave equation of the total system is divided into the part of the motion of the center of mass and the part of the relative motion.
Class 8 The two-body problem in the quantum mechanics(the separetion of the angular coordinates and radial coordinate) Understand that the wave equation of the relative motion is divided into angular and radial parts.
Class 9 The two-body problem in the quantum mechanics(bound and unbound states) Understand that the wave equstion has two kinds of solutions, i.e. one is bound solution and the other is unbound solution.
Class 10 The probability current density Understand the concept of the probability current density.
Class 11 The quantal way of calculating the collision cross section(the expansion of the total wave function by the eigenfunctions of target atoms) Understand how to expand the wave function of the total system by the eigenfunctions of target atoms.
Class 12 The quantal way of calculating the collision cross section(the asymptotic form of the wave function at the infinite distance) Expalin the asymptotic form of the wave function of the collisional system at the infinite distance.
Class 13 The quantal way of calculating the collision cross section(calculation of the differential cross section) Obtain the differentail cross section based upon the 11th class and 12th class.
Class 14 The Bethe approximation Understand the Bethe approximation.

Textbook(s)

Home-made textbook is distributed.

Reference books, course materials, etc.

B. H. Bransden and C. J. Joachain, Physics of atoms and molecules, 2nd Edition, Pearson Education

Assessment criteria and methods

Students are assessed on understanding of basic concepts and applicability of them.
Homework assignments 25%
Final examination 75%

Related courses

  • CHM.C301 ： Introductory Chemical Kinetics
  • CHM.C201 ： Introductory Quantum Chemistry
  • CHM.C332 ： Quantum Chemistry
  • CHM.C303 ： Exercise in Introductory Chemical Kinetics

Prerequisites (i.e., required knowledge, skills, courses, etc.)

We recommend that students have successfully completed Introductory Chemical Kinetics(CHM.C301 ) and Exercise in Introductory Chemical Kinetics(CHM.C303).

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Masashi Kitajima: mkitajim[at]chem.titech.ac.jp

Office hours

Contact by email in advance to schedule an appointment.
Masashi Kitajima(West Building 4, Room 503)

Page Top