Molecular Symmetry and Group Theory
Later we will consider how group theory enables us to analyse all the allowed vibrations of the H2O molecule.
|For this we have to consider motion of all three atoms along the x, y and z directions, as indicated opposite. These arrows provide our basis in this case and we need to find the character for each operation of the point group.|
|By considering the extent to which the nine arrows are converted into themselves, determine the character of the matrix that represents the C2 operation. [e.g. x1 → -x1 and therefore contributes -1; x2 moves and therefore contributes 0; etc.]|
|In the same way determine the characters of the matrices that describe the other group operations.||
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