1. The problem statement, all variables and given/known data How do you find the contributions per atom for calculating the reducible parts? For example CO3-2 has pt. grp: D3h. From the character tables-- the first row (unshifted atoms) is: 3,0,1,3,0,1. Second row (coefficients): 1,2,3,1,2,3 Third Row (contributions per atom): ?,?,?,?,?,? 2. Relevant equations 3. The attempt at a solution I know the answer is 3,0,-1,1,-2,1 but I can't find any hints as to how this was obtained. Is it from the character tables or from the symmetry operations?