The crystal structure of the potassium salt of PtH44has been recently determined (Bronger et al, J. of Less Common Metals, 116:9-15, 2012). The ion adopts a square planar structure and belongs to the D4h point group. Using the Projection Operator method, the ligand group orbitals (LGO) has been determined to have the following symmetry: A13+ B1g + Ey. Using the D4h Character Table, determine which d orbital of the central Pt atom have the right symmetry to interact with the A1g and B1g Ligand Group Orbitals (LGO). E 2C4 C, 2C,' 2C," i 254 20, 204 A1g ² + y°. ? 1 1 1 1 1 1 1 1 1 1 A28 1 1 1 -1 -1 1 1 -1 -1 R. Big -1 1 -1 1 1 1 2 - y? 1 -1 B28 -1 1 -1 1 1 xy Eg 2 -2 (R, R,) (xz, yz) Au 1 1 1 1 -1 Azu 1 1 1 1 -1 1 1 -1 1 -1 1 B2u -1 1 -1 1 1 -1 E, 2 -2 -2 (x, y) The A1g LGO has the right symmetry to interact with the dyy orbital while the B1, LGO has the right symmetry to interact with the dyz- The A1z LGO has the right symmetry to interact with the dyz orbital while the B13 LGO has the right symmetry to interact with the dx2-y2 The A1g LGO has the right symmetry to interact with the d22 orbital while the B1g LGO has the right symmetry to interact with the dxy The A1g LGO has the right symmetry to interact with the d,2 orbital while the B1g LGO has the right symmetry to interact with the dy2-y2 O O O O

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter13: Introduction To Symmetry In Quantum Mechanics
Section: Chapter Questions
Problem 13.22E: Figure 13.27 shows the structure of the molecule porphine. Figure 13.27 The structure of porphine....
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The crystal structure of the potassium salt of PtH42 has been recently determined (Bronger et al, J. of Less Common Metals, 116:9-15, 2012). The ion adopts a square planar
structure and belongs to the D4h point group. Using the Projection Operator method, the ligand group orbitals (LGO) has been determined to have the following symmetry: A13+
B1g + Ej. Using the D4h Character Table, determine which d orbital of the central Pt atom have the right symmetry to interact with the A1g and B1, Ligand Group Orbitals (LGO).
E
2C4
C2
2C,'
2C,"
i
2S4
20,
20 a
A1g
ř + y°, ?
1
1
1
1
1
1
1
1
1
A28
1
1
1
-1
-1
1
1
1
-1
-1
R.
Big
1
-1
1
1
-1
1
-1
1
1
-1
2 - y?
B2g
1
1
1
1
xy
Eg
2
2
(R,. Ry)
(xz, yz)
1
1
1
1
-1
-1
A2u
1
1
1
-1
1
1
Blu
1
1
1
1
-1
1
B2u
1
-1
1
-1
1
-1
1
-1
1
-1
2
-2
2
(х, у)
The A1g LGO has the right symmetry to interact with the dxy orbital while the B1g LGO has the right symmetry to interact with the dyz.
The A1, LGO has the right symmetry to interact with the dyz orbital while the B1g LGO has the right symmetry to interact with the d,2-y2
The A1, LGO has the right symmetry to interact with the d,2 orbital while the B1g LGO has the right symmetry to interact with the dyy
The A1g LGO has the right symmetry to interact with the d,2 orbital while the B1g LGO has the right symmetry to interact with the d,2-y2
ОООО
Transcribed Image Text:The crystal structure of the potassium salt of PtH42 has been recently determined (Bronger et al, J. of Less Common Metals, 116:9-15, 2012). The ion adopts a square planar structure and belongs to the D4h point group. Using the Projection Operator method, the ligand group orbitals (LGO) has been determined to have the following symmetry: A13+ B1g + Ej. Using the D4h Character Table, determine which d orbital of the central Pt atom have the right symmetry to interact with the A1g and B1, Ligand Group Orbitals (LGO). E 2C4 C2 2C,' 2C," i 2S4 20, 20 a A1g ř + y°, ? 1 1 1 1 1 1 1 1 1 A28 1 1 1 -1 -1 1 1 1 -1 -1 R. Big 1 -1 1 1 -1 1 -1 1 1 -1 2 - y? B2g 1 1 1 1 xy Eg 2 2 (R,. Ry) (xz, yz) 1 1 1 1 -1 -1 A2u 1 1 1 -1 1 1 Blu 1 1 1 1 -1 1 B2u 1 -1 1 -1 1 -1 1 -1 1 -1 2 -2 2 (х, у) The A1g LGO has the right symmetry to interact with the dxy orbital while the B1g LGO has the right symmetry to interact with the dyz. The A1, LGO has the right symmetry to interact with the dyz orbital while the B1g LGO has the right symmetry to interact with the d,2-y2 The A1, LGO has the right symmetry to interact with the d,2 orbital while the B1g LGO has the right symmetry to interact with the dyy The A1g LGO has the right symmetry to interact with the d,2 orbital while the B1g LGO has the right symmetry to interact with the d,2-y2 ОООО
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ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,