Cochin University of Science and Techology (CUST) 2006 M.Sc Chemistry Theoretical - Question Paper

AC.1/06.1

M.Sc. DEGREE I SEMESTER EXAMINATION IN APPLIED CHEMISTRY, DECEMBER 2006

CHE 2101 THEORETICAL CHEMISTRY

Time: 3 Hours    Maximum marks ; 50

PART - A

(Answer ALL questions)

(All questions carry EQUAL marks)

(5x2= 10)

(1)    How are molecules classified based on symmetry ?

(2)    Explain (i) eigen function (ii) expectation values.

(3)    What is the gross selection rule for Raman spectra ?

(4)    Explain the concept of degeneracy in the case of particle in a three dimensional box with quantum numbers (1,2,3).

(5)    What are the bonding and antibonding orbitals ?

PART - B

(Answer ALL questions)

(All questions carry EQUAL marks)

(8x5= 40)

II. A. What is a character table ? State the general rules on the nomenclature for labeling of the irreducible representation.

OR

B. Construct the C₄ character table.

III.    A. State and explain great orthogonality theorem.

OR

B. The molecule of formaldehyde is planar with angle HCH=angle HCO=120. (a) list the symmetry operation for this molecule and (b) use the valence atomic orbitals to form the symmetry adopted molecular orbitals, grouping them by symmetry types.

IV.    A. Describe projection operators.

OR

B. Discuss the application of projection operators to pi-bonding in Benzene.

V.    A. State the postulates of quantum mechanics and give their importance.

OR

B. What are operators in quantum mechanics ? Give their application.

Describe the application of Schrodeinger wave equation to a particle in one dimensional box.

OR

Explain the energy separation from a particle in the dimensional box for different values of n (quantum number) with a sketch. Also sketch nodes for the wave function.

Explain angular momentum and show by the application of de Beoglie relationship that the angular momentum for a particle in a ring is quantified in units of h/2jt.

OR

Discuss the Schrodinger wave equation for a rigid rotator.

Describe the concepts of directed valences with examples.

OR

Explain Huckel molecular orbital methods in pi-bonds and delocalization of bonds.

Compare and contrast M.O. and U.B. methods for hydrogen molecule.

OR

Give a sketch of d-orbitals of hydrogen like atoms.

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Attachment: cochin-university-of-science-and-techology--cust--2006-m-sc-chemistry-37372-1.pdf

Earning:   Approval pending.