Approved by Faculty Senate.

University Studies Course Approval

Department or Program: Chemistry

Course Number: 414

Semester Hours: 3

Frequency of Offering: Once per academic year, ~8 students per section, one section.

Course Title: Physical Chemistry II

Catalog Description: Quantum Chemistry. Chemical Kinetics: rate laws, mechanisms, temperature-dependence, catalysis. Boltzmann’s distribution. Theories of reaction rates: collision model, transition state theory, diffusion & activation-controlled reactions, quantum mechanical tunneling, isotope effects. Properties of multi-component solutions. Electrochemistry. Statistical Mechanics. Meets University Studies Mathematics/Statistics Flag requirement. Prerequisites: CHEM 412, one year each of college chemistry, physics, and calculus. Offered yearly.

This is an existing course previously approved by A2C2: Yes

This is a new course proposal: No

Proposal Category: Mathematics/Statistics Flag

Departmental Contact: Bill Ng, chairperson.

Email Address: __cbwng@winona.edu__

Department Approval and Date:

Dean’s Recommendation and Date:

USS Recommendation and Date:

A2C2 Recommendation and Date: __________________________

Faculty Senate Recommendation and Date: __________________________

VPAA Recommendation and Date: __________________________

Dean’s Recommendation and Date: __________________________

President’s Decision and Date: __________________________

MATHEMATICS/STATISTICS FLAG COURSE PROPOSAL

Chemistry 414: Physical Chemistry II (3 s.h.)

Chemistry is the science of matter and the changes matter can undergo. Physical chemistry deals with the physical principles underlying chemistry and seeks to account for the properties of matter (such as atoms, electrons, and energy) in terms of fundamental concepts. It provides the basic framework for branches of chemistry such as inorganic chemistry, organic chemistry, biochemistry, geochemistry, and chemical engineering. It also provides the basis for modern methods of analysis, the determination of structure, and the elucidation of the manner in which chemical reactions occur. Physical chemistry is divided into four majors areas: thermodynamics, quantum chemistry, kinetics, and statistical mechanics. This course provides an in-depth study of chemical kinetics, and an introduction to quantum chemistry and statistical distributions. The application of quantum mechanics to atomic structure, molecular bonding, and spectroscopy gives rise to the study of quantum chemistry. The study of statistical mechanics provides insights into why the laws of thermodynamics hold and allows calculation of macroscopic thermodynamic properties from molecular properties. Kinetics is the study of rate processes such as chemical reactions, diffusions, and the flow of charges in an electrochemical cell. All four major concepts will be applied toward ideal and dilute solutions at the end of this course. Mathematics is one the most important tools of physical chemistry. Much of physical chemistry involves casting physical problems into mathematical language. This involves development of mathematical models starting with microscopic predictions and correlating derived equations with macroscopic observations. Mathematical approaches include applications such as multi-variable functions, differential and integral calculus, differential equations, power series, and operator algebra. Computational data analysis via graphical and statistical treatments involves the use of software packages such as Mathcad, Excel, and HyperChem. The latter software also enables molecular visualization and enhances students’ abilities to correlate molecular structure to macroscopic behavior. As such, this course emphasizes a significant practice in the application of mathematical/statistical approaches to physical chemistry principles, thereby empowering the intellectual/critical thinking development of students in physical chemistry and enhancing their understanding of the chemical universe.

**Catalog Description**:

Quantum Chemistry. Chemical Kinetics: rate laws, mechanisms, temperature-dependence, catalysis. Boltzmann’s distribution. Theories of reaction rates: collision model, transition state theory, diffusion & activation-controlled reactions, quantum mechanical tunneling, isotope effects. Properties of multi-component solutions. Electrochemistry. Statistical Mechanics. Meets University Studies Mathematics/Statistics Flag requirement. Prerequisites: CHEM 412, one year each of college chemistry, physics, and calculus. Offered yearly.

This course includes requirements and learning activities that promote students' abilities to...

a. practice the correct application of mathematical or statistical models that are appropriate to their prerequisite knowledge of those areas; and

Requirements: Students are expected to apply various mathematical approaches in derivations of relevant macroscopic equations starting with fundamental concepts and principles in physical chemistry.

Activities: Students are provided with many opportunities (such as in-class discussions/exercises, problem sets, and quizzes/tests/examinations) to practice the correct applications of various mathematical approaches (such as multi-variable functions, differential and integral calculus, differential equations, power series, and operator algebra) in derivations and the manipulations of equations for systems under different constraints. The derivations begin with microscopic predictions/expectations and end with macroscopic results; results that can be compared to real world experimental observations.

Sample Activity: Starting with microscopic motions (translations, rotations, vibrations) of gaseous molecules, students apply the techniques of multi-variable calculus using the Schrödinger equation, Q=EQ, where the 3-dimensional kinetic-energy Hamiltonian is given by: