Not Secure – symmetry.jacobs-university.de Save the World Challenge Part 3: Inorganic Chemistry Character table for point group Td My Questions | bartleby Character table for point group Td linear functions, rotations quadratic functions cubic |Ta E |8C ЗС, 65, 6%а functions A +1 +1 +1 A, +1 +1 +1 E +2 -1 +2 0 T +3 0 -1 +1 -1 x?+y?+z? +1 +1 |хуz (2z2-x²-y², x²-y²) (Rx, Ry, R2) x(2²-y²), y(z²-x³), z(x²-y}] T2 +3 0 |-1 (х, у, 2) (ху, хz, уг) (x³, y³, z³) [x(z?+y?), y(7+x?), z(x²+y?)] -1 +1 Additional information Number of symmetry elements h = 24 Number of irreducible representations n = 5 Abelian group no Number of subgroups Subgroups Cg , C2 , C3 , D2 , Cv, C3y » D2a , S4 , T Optical Isomerism (Chirality) no Polar no Reduction formula for point group Td Type of representation general 3N vib E 8C3 ЗС2 6S4 60d

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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A symmetric stretch of silicon tetrafluoride belongs to the A1 representation in the Tdpoint group. 

Which one of the following is true?


This stretch is infrared active.
This stretch is infrared inactive.

This stretch gives rise to a strong absorption in the IR spectrum.

This stretch generates a change in molecular dipole moment.
Not Secure – symmetry.jacobs-university.de
Save the World Challenge Part 3: Inorganic Chemistry
Character table for point group Td
My Questions | bartleby
Character table for point group Td
linear functions,
rotations
quadratic
functions
cubic
|Ta E |8C ЗС, 65, 6%а
functions
A +1 +1 +1
A, +1 +1 +1
E +2 -1 +2 0
T +3 0 -1 +1 -1
x?+y?+z?
+1
+1
|хуz
(2z2-x²-y², x²-y²)
(Rx, Ry, R2)
x(2²-y²), y(z²-x³), z(x²-y}]
T2 +3 0
|-1
(х, у, 2)
(ху, хz, уг)
(x³, y³, z³) [x(z?+y?), y(7+x?), z(x²+y?)]
-1
+1
Additional information
Number of symmetry elements
h = 24
Number of irreducible representations n = 5
Abelian group
no
Number of subgroups
Subgroups
Cg , C2 , C3 , D2 , Cv, C3y » D2a , S4 , T
Optical Isomerism (Chirality)
no
Polar
no
Reduction formula for point group Td
Type of representation
general
3N
vib
E
8C3
ЗС2
6S4
60d
Transcribed Image Text:Not Secure – symmetry.jacobs-university.de Save the World Challenge Part 3: Inorganic Chemistry Character table for point group Td My Questions | bartleby Character table for point group Td linear functions, rotations quadratic functions cubic |Ta E |8C ЗС, 65, 6%а functions A +1 +1 +1 A, +1 +1 +1 E +2 -1 +2 0 T +3 0 -1 +1 -1 x?+y?+z? +1 +1 |хуz (2z2-x²-y², x²-y²) (Rx, Ry, R2) x(2²-y²), y(z²-x³), z(x²-y}] T2 +3 0 |-1 (х, у, 2) (ху, хz, уг) (x³, y³, z³) [x(z?+y?), y(7+x?), z(x²+y?)] -1 +1 Additional information Number of symmetry elements h = 24 Number of irreducible representations n = 5 Abelian group no Number of subgroups Subgroups Cg , C2 , C3 , D2 , Cv, C3y » D2a , S4 , T Optical Isomerism (Chirality) no Polar no Reduction formula for point group Td Type of representation general 3N vib E 8C3 ЗС2 6S4 60d
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