The molecule CIF, belongs to the C4, point group. Use the character table below to answer the following questions. Cav A₁ کے ش E 2C C₂ 20 20d 1 1 1 1 1 Z A₂ 1 1 1 -1 -1 B₁ 1 -1 1 1 -1 B₂ 1 -1 1 -1 1 E 2 0 -2 0 0 (x, y) a) Draw CIF5 using a conventional cartesian coordinate system with the correct symmetry. (The Cl atom is in the center and is bonded to each of the 5 fluorine atoms.) b) Draw pictures showing how the p orbitals (x, y, and z) on Cl will transform under each operation of the group. c) Draw pictures showing how a i) dxy and a ii) dzz orbital on Cl would transform under each operation of the group. What are their Mulliken symbols? d) What are the irreducible representations for the SALCS of the 5 fluorine 2s orbitals? You do not need to draw a diagram or order the orbitals by energy, but for each molecular orbital symmetry, list all atomic orbitals and SALCs with that symmetry. Example: If this question were asking about the composition of the MOs of water (C₂, point group), your answer would include the following: a₁: 2s (oxygen), H₂ SALC, and 2pz (oxygen) e) Which molecular orbital do you predict to be the most bonding? Draw a picture of this orbital including the phase. f) d-orbitals are not important for the bonding description of CIF5. Give a brief reason why.

Physical Chemistry
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ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
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Chapter13: Introduction To Symmetry In Quantum Mechanics
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The molecule CIF, belongs to the C4, point group. Use the character table below to answer the following
questions.
Cav
A₁
کے ش
E
2C C₂
20
20d
1
1
1
1
1
Z
A₂
1
1
1
-1
-1
B₁
1
-1
1
1
-1
B₂ 1
-1
1
-1
1
E
2
0
-2
0
0 (x, y)
a) Draw CIF5 using a conventional cartesian coordinate system with the correct symmetry. (The Cl atom is
in the center and is bonded to each of the 5 fluorine atoms.)
b) Draw pictures showing how the p orbitals (x, y, and z) on Cl will transform under each operation of the
group.
c) Draw pictures showing how a i) dxy and a ii) dzz orbital on Cl would transform under each operation of
the group. What are their Mulliken symbols?
d) What are the irreducible representations for the SALCS of the 5 fluorine 2s orbitals?
You do not need to draw a diagram or order the orbitals by energy, but for each molecular orbital
symmetry, list all atomic orbitals and SALCs with that symmetry.
Example: If this question were asking about the composition of the MOs of water (C₂, point group), your
answer would include the following:
a₁: 2s (oxygen), H₂ SALC, and 2pz (oxygen)
e) Which molecular orbital do you predict to be the most bonding? Draw a picture of this orbital including
the phase.
f) d-orbitals are not important for the bonding description of CIF5. Give a brief reason why.
Transcribed Image Text:The molecule CIF, belongs to the C4, point group. Use the character table below to answer the following questions. Cav A₁ کے ش E 2C C₂ 20 20d 1 1 1 1 1 Z A₂ 1 1 1 -1 -1 B₁ 1 -1 1 1 -1 B₂ 1 -1 1 -1 1 E 2 0 -2 0 0 (x, y) a) Draw CIF5 using a conventional cartesian coordinate system with the correct symmetry. (The Cl atom is in the center and is bonded to each of the 5 fluorine atoms.) b) Draw pictures showing how the p orbitals (x, y, and z) on Cl will transform under each operation of the group. c) Draw pictures showing how a i) dxy and a ii) dzz orbital on Cl would transform under each operation of the group. What are their Mulliken symbols? d) What are the irreducible representations for the SALCS of the 5 fluorine 2s orbitals? You do not need to draw a diagram or order the orbitals by energy, but for each molecular orbital symmetry, list all atomic orbitals and SALCs with that symmetry. Example: If this question were asking about the composition of the MOs of water (C₂, point group), your answer would include the following: a₁: 2s (oxygen), H₂ SALC, and 2pz (oxygen) e) Which molecular orbital do you predict to be the most bonding? Draw a picture of this orbital including the phase. f) d-orbitals are not important for the bonding description of CIF5. Give a brief reason why.
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