Question

6.37 Reduce the direct product A2g ® T2g® E, in the point group On

Answer 1

Refering to oh scharaceler table ohl.E 8 - 666 2 64 34 í 650 856 30h Ful2 Fred. 6 00 -2 0 1 -2 0 +2 6 0020 the reducible representation rean be reduced to his reducible orefres- -entation using the formula 2 X X, Z ils hoefficient of malt - o mmelie operation Aude I rrepresentation for one Ang ay order is 48. I his Į Alyt fired to coefficient 0x148 + 0x1*6 +1*0* 6 +(-2+31)+(-6xx) + OXIXG + Ox*8 + 2193 +OX/25) (67-6-6 +6 ) *00 4 1X6 + OXIX9 + 04-4*6 + ox -*6 +-2*31 - 6x + 0x-+*G (6+0+ 0 0 + (-6) - 6+6) + 0x1*9* 2x/X3 + Ox-1x) 4 2*6+ OX-1 * 8 + 0x0X 6 0X OX 6 + 2x3*2 + -6x2x1 + ox ox 6 + Ox&x - + 2x2x3+ 0*6* 0) &rImg + *6*0+ 0x8*0 7342 * 1944 (36*1 + 0x 0x8 + HHO ONE 6 + 6*6*1 - 2*3*-* Scanned with Tea (1966-18-6) XO 40

(3*6W! + OR SX0 + IX BXD-*6*0 +-291-, -6X3N1 + -1*6*0 +0*9* + BAIX++ darbo 048X1 + OXIK G + IN6X6 + - 2*3 ! +-by - , +-1 * 60 * 4*8* 2x 3* - 1 + 1x 6 -6 -6 + 6 - 6) = + 0* 1 + 0-6+ -*60 +-243*H *-*-11 +1XGX0 +0x37 * **** 0 -04 Ah ah Eu ay (6*1*2+ ong444 +orong +6*0*0 +-2x5*+-6-2-1 + x 6x0+&xivo -2x3x2 +086*) te (12-12 +2 -12) -0 ** + OX 80 + 0*-1+60*1 + 3*-211 +-61-310** + 0* 8*0+149x2 + 160 (19 +6 +18 +670) *** 48 - ay (0.***3 0*800 *4*6 + 6*0*4 +-23*-+-on-1 + 06-1 Sealed with CamScanner Tiu + 524 -