Write characters of the representation of the direct product

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Assignment

Q1. Classify the following molecules into appropriate point gaps. Justify your answer.

a) CO32-   b) N3-      c) SO42-  d) SCN

e) Cio3     f) B6H62-  g) Ethane (eclipsed)  h) [Pt(en)2]2+

Q2. Give total number of operations generated by C5 and S5 axis.

Q3. Using similarity transformation and GMT for group C2h, divide symmetry operations into appropriate classes.

Q4. By schematic representations, give the product of the following symmetry operations in NF3 molecules

i) C3 x C3-1 ii) C3 x 6v iii) 6v x 6v'

Q5. Using great orthogonality theorem, derive the character table for D2 point group, given D2 elements are E, C2(Z), C2(y), C2(x).

Q6. Give the properties of irreducible representation for C2v point group and label the IRs with appropriate mullipen symbols.

Q7. Which IRs of C3v point group from the basis of following RR?

C3V E 2C3 36v
A1 1 1 1
A2 1 1 -1
E 2 -1 0
Trr 15 0 3

Q8. Write characters of the representation of the direct product E x E and determine the IRs which compromise them for the grp C4v

C4V E 2C4 C2 26v 26d
A1 1 1 1 1 1
A2 1 1 1 -1 -1
B1 1 -1 1 1 -1
B2 1 -1 1 -1 1
E 2 0 -2 0 0

Q9. Which operation has the same effect as following operations?

S42, S43, S44, C42, i2, 62, C33, C32.

Reference no: EM131668643

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