Molecular Symmetry and Spectroscopy Quiz

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What is the magnitude and direction of the vector U?

Magnitude = d, Direction = Ux By Uy

What must be the same in matrix multiplications?

Matrix multiplications must be the same.

What is the identity matrix?

Identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere.

What is required for a set of matrices to be a representation of a group?

The set of matrices must multiply together in the same manner as the group multiplication table. Signup and view all the answers

What is meant by 'irreducible representations'?

Irreducible representations are matrices that cannot be reduced further. Signup and view all the answers

How many representations are mentioned in the text?

The text mentions an infinite number of representations. Signup and view all the answers

What is the benefit of knowing the symmetry of molecules in spectroscopy?

Predicting the type of spectra it may give. Signup and view all the answers

What is the identity element that exists in all molecules?

E (identity element) Signup and view all the answers

What is the most difficult symmetry element to visualize?

Improper rotation axis Signup and view all the answers

What is the goal of point groups in chemistry?

To be able to determine the point group a molecule belongs to Signup and view all the answers

How many symmetry operators are there in a point group?

The order of the point group Signup and view all the answers

What must be true for a mathematical group?

Closed under multiplication, associative multiplication, identity element, and inverse for every element Signup and view all the answers

What property follows for reflection planes in a point group?

They follow the commutative property Signup and view all the answers

What is the most difficult axis to visualize in an H2O molecule?

The S3 axis Signup and view all the answers

What is the name of the symmetry element that involves a rotation followed by a reflection?

Improper rotation axis Signup and view all the answers

What does the number n define in the Cn rotation axis?

The number n defines where the n axes will be Signup and view all the answers