What are Characters of Cn in Character Table?
A character table is a 2 dimensional chart associated with a point group that contains the irreducible representations of each point group along with their corresponding matrix characters.For Cn, generate a character table with a trivial A representation, an alternating B representation if n is even, and an appropriate number of E representations. The E1 has characters equal to the double cosine of the respective rotation, 2cosφ, the E2 has 2cos2φ etc.
How to Calculate Character of Cn Matrix?
Character of Cn Matrix calculator uses Character of Cn Matrix = 2*cos(Theta)+1 to calculate the Character of Cn Matrix, Character of Cn Matrix is the sum of diagonal elements in the Character Table. It is also called a trace. The trace of a matrix remains unchanged upon a unitary coordinate transformation. Character of Cn Matrix is denoted by C_{n} symbol.
How to calculate Character of Cn Matrix using this online calculator? To use this online calculator for Character of Cn Matrix, enter Theta (θ) and hit the calculate button. Here is how the Character of Cn Matrix calculation can be explained with given input values -> 2.732051 = 2*cos(0.5235987755982)+1.