Question

Using the tabular method and showing all work in the table (as we did in the lecture example), decompose the following reducible representations into the component irreducible representations in the point group indicated: D3h E 2C33C2 On 25330 T 521 303 Td E 8C33C265460d DS 115 1011- 13 On T E 21 8C3 6C2 604 3C2 0 -1 3 -3 i 654 856 3on 600 -3 -1 0 5 3

Answer 1

Oudy of fat gro, t-12 ( d ofnatn cla) (horety of dei of Jaudafundelion (aby of Inbeh hE 12 Posta A xxS42X1x2-+ 3x1X 14 1XIX3+ 2x1xo+3) x32 A xS + 2x1X2 + 3x-1X 14 KIX3+ 2XIXOX-x3 O F A 1 2AE h-24 Td AI s4 8X1x0 +3X1x-1 X1 6x1x3| 24 A2=O = A+ E +T 3T2 T3 h 48 Ag Ageo Tg 1 T- At T 3T Th4 A0 A2v 0 E o 3