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exam1_1976 - MIT OpenCourseWare http/ocw.mit.edu 5.80...

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MIT OpenCourseWare http://ocw.mit.edu 5.80 Small-Molecule Spectroscopy and Dynamics Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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MASSACHUSETTS INSTITUTE OF TECHNOLOGY± Chemistry 5.76 ± Spring 1976 ± Examination #1 March 12, 1976 Closed Book Slide Rules and Calculators Permitted Answer any THREE of the four questions. You may work a fourth problem for extra credit. All work will be graded but no total grade will exceed 80 points. 1. A. (10 points) Give a concise statement of Hund’s three rules. B. (10 points) State the definition of a vector operator. C. (10 points) If B and C are vector operators with respect to A , then what do you know about matrix elements of B · C in the | AM A basis? D. ( 5 points) The atomic spin-orbit Hamiltonian has the form H SO = ξ ( r i ) i · s i i Classify H SO as vector or scalar with respect to J , L , and S . State whether H SO is diagonal in the | JM J LS or | LM L S M S basis.
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