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It is particularly targeted at upper level chemistry and physics undergraduates who have a basic knowledge of quantum mechanics and a brief familiarity with linear algebra. Note: In Spring , it will be possible for students not physically present on the JHU campus, to take this course with online synchronous lectures. As a matter of course policy, lecture notes are not available online. You are welcome to stop by TMM's office to view them anytime. Graduate students are allowed to audit the course.

Group theory , in modern algebra , the study of groups, which are systems consisting of a set of elements and a binary operation that can be applied to two elements of the set, which together satisfy certain axioms. These require that the group be closed under the operation the combination of any two elements produces another element of the group , that it obey the associative law , that it contain an identity element which, combined with any other element, leaves the latter unchanged , and that each element have an inverse which combines with an element to produce the identity element. If the group also satisfies the commutative law , it is called a commutative, or abelian, group. The set of integers under addition, where the identity element is 0 and the inverse is the negative of a positive number or vice versa, is an abelian group.

Chemistry Stack Exchange is a question and answer site for scientists, academics, teachers, and students in the field of chemistry. It only takes a minute to sign up. Please can you explain me the group theory especially the reducible and irreducible representation and class and subclass and how to tell they are in the same group or not. I know it is a tedious task but help will be very much appreciated.

The complex vibrations of a molecule are the superposition of relatively simple vibrations called the normal modes of vibration. Each normal mode of vibration has a fixed frequency. It is easy to calculate the expected number of normal modes for a molecule made up of N atoms. The symmetries of the normal modes can be classified by group theory. In this project we won't go into how this is done.

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