CHEM3541 Pastpaper - THE UNIVERSITY OF HONG KONG DEPARTMENT...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF CHEMISTRY CHEM2504 Physical Chemistry I: Introduction to Quantum Chemistry CHEM3541 Physical Chemistry II: Introduction to Quantum Chemistry December 8, 2014 (Monday) 2:30 pm - 4:30 pm Only approved calculators as announced by the Exan1inations Secretary can be used in this examination. It is candidates' responsibility to ensure that their calculator operates satisfactorily, and candidates n1ust record the nan1e and type of the calculator used on the front page of the examination script. Answer ALL questions in Section A (Total 55 marks) Question 1 (10 marks) Question 2 (11 marks) Question 3 (15 marks) Question 4 (8 marks) Question 5 ( 11 marks) Answer THREE questions in Section B (Total 45 marks) Questions 6 to 9 (each 15 marks) A list of Physical Constants is provided on the last page of this question paper. Page 1 of6
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Section A Answer ALL questions in this section. (Total 55 marks) 1. Answer True or False to the following statements and give explanations: (a) If'I'n is an eigenfunction for both operators A andB, then [A, B] = 0 (b) Simultaneous eigenvalues cannot be obtained for the ix and i, operators. ( c) The zero-point energy of a harmonic oscillator is zero. ( d) The 02 molecule has a vibrational spectrum. (e) The radial functions of the hydrogen atom can be used to calculate the probability of an electron being at a certain distance, r, from the nucleus. [Marks will only be given to answers with an explanation.] (IO marks) 2. (a) Discuss the significance of the commutator [E, T] i 0, where E and T are the energy and time operator respectively.
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