Question

Show a representation flowchart for Phosphorus trichloride, please provide symmetry operations, reducible matrix representations, characters of matrix representations, block diagonalized matrices, irreducible representations, character table, and the vibration modes.

Answer 1

No. 82 Dt. Phosphorus trichloride Prathee cl - cl Symmetry operation : A C a nis interconverting l-atoms. passing the through position pratom and of three ce ce ce ce ce de

Taree Plane of symmetry (0) No. 82 Plane 2 bisecting MM / Pirmo p-ce² cez a bisecting -cel ce3 P-cli ce3 - bisech P-ce? - cez 02 One the Identity (E) is molecule present, which leares unchanged.

Saraswati No. 83 Dt. Reducible Matrix Prunice ce ce € Car 203 1 300 Contribution per -atom R.R3N 1 2 To 12 1 4 12 Reducible Matrix = 6v/263 | 300 | 8 To 1 2 1 12 representation - Characters (3 has c " of Matrix character o =+1

1263 3ovi Carl E IR, Irredricible Representation, No. 83 IR, 1 I R₂ 1 2 character Table 7 Carlo 12.3 30 v A2 in 0 (x2, Yz Pn. Ry) i nay ng vibration mode - Degree of freedom = 3 x 4 = 12 Mode of reibration - 6 Reduction of R.R3N = 3A, + 1 A ₂ + UE Removal of rotational and translational degree of freedom. 3A, + A2+ 4E- (A2+2E) -(A,+E) = 2A, +2E vibrational modes.