Cochin University of Science and Techology (CUST) 2003 M.Sc Chemistry Theoretical - Question Paper
' M. Sc. DEGREE I SEMESTER EXAMINATION IN APPLIED CHEMISTRY DECEMBER2003
CHE 2101/1AC1 THEORETICAL CHEMISTRY
Time: 3 Hours Maximum Marks: 50
PART-A (Answer ALL questions)
(All questions carry EQUAL marks)
(5x2-10)
I. (1) Explain reducible and irreducible representations with examples.
(2) Show that conjugate elements will have identical characters.
(3) Show that [Z-'.LJO
(4) What is one electron orbital approximation?
'(5) Explain Coloumb and exchange interaction.
PART-B
(Answer ALL questions)
(All questions cany fi4&marks)
(8x6** 40)
II. A. How systematically point group of a given molecule is determiij? . -
H, B. Identify the point groups of the following and list out all the symmetry elements in each point group.
; S 1 0)Allene, (u> Methane, (ui)CH.CL, (iv)CO,;
. I -I
in. A. Construct the character table D3 systematically.
OR ;
UI. B. Write the character table C3v and reduce the direct product 0f C3y;
IV. A. Construct the hybrid orbitals for AB CD systenjlfe ' 1
itenw'S/v v't,
OR
IV. B. What is a projection operator? Explain its use in deriving n MOS in
ethylene.
V. A. Identify the symmetry typesof BCi3 molccule and predict the activity of
fundamentals in IR and Raman.
OR
V. B. Using group theory identify the symmetry allowedness of electronic
transitions in formaldehyde.
VI. A. Outline the postuiatory basis of quantum mechanics.
OR
VI. B. Derive the operator for energy. Using this deduce the general form
of Schrodinger wave equation.
VII. A. Set up the hamiltonian operator for a particle in a cubical box and solve
it for energy and 2{-
OR
VII. B. Deduce first four hermit polynomials and explain the nodal behaviour.
VUI. A. State and prove variation theorem.
OR
VIH. B. What are sinter determinants? Using them explain Pauli exclusion principle.
IX. A. Explain the basis of Huckel approximations and obtain the n energy levels of butadiene system.
OR
IX. B. Discuss the VB treatment of H2 molecule.
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Contd.....3
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Attachment: |
| Earning: Approval pending. |
