MT2F2011key

MT2F2011key - Chemistry 110A Midterm 2 Exam November 16,...

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Chemistry 110A Midterm 2 Exam November 16, 2011 Prof. P.B. Kelly NAME ____________________________________________ 1. __________ 15 2. _________ 15 3. __________ 15 4. __________ 15 5. __________ 15 6. __________ 25 7. _________ 30 TOTAL ____________ 130
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1) Consider the full Hamiltonian for the helium atom: $ = −∇ h 2 2 2 m nucleus nucleus 2 1 2 2 electron electron m h 1 0 2 4 r Ze πε 2 2 2 2 electron electron m h 2 0 2 4 r Ze 12 0 2 4 r e + Which term is used in the evaluation of the effective potential or self consistent field in the Hartree Fock treatment of the helium atom? a) h 2 2 2 m nucleus nucleus b) either 2 1 2 2 electron electron m h or 2 2 2 2 electron electron m h c) 2 1 2 2 electron electron m h and 2 2 2 2 electron electron m h d) 12 0 2 4 r e + 15 e) 1 0 2 4 r Ze and 2 0 2 4 r Ze 5 2. The Rydberg constant is approximately 110,000 cm -1 . What is the approximate energy for the n =2 to n=5 electronic transition for the helium ion? a) 33,000 cm -1 E n = -R H (Z 2 /n 2 ) Z = 2 for Helium b) 46,200 cm -1 c) 66,000 cm -1 E 2 = -R H (2 2 /2 2 ) = -R H d) 92,400 cm -1 15 E 5 = -R H (2 2 /5 2 ) = -0.16 R H e) none of the above E = 0.84 R H = 92,400 cm -1 3. Which of the following is a possible term symbol?
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MT2F2011key - Chemistry 110A Midterm 2 Exam November 16,...

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