PS11-08-Solution - Chem 442B Homework Set #11 DUE:...

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Chem 442B Homework Set #11 DUE: Thursday, November 20, 2008 1) McQ&S, 13-11 () () ( ) ( ) 11 1 61 1 1 1 3.33564 10 58000 10 1.935 :2 1 0 , 1 0 2160 2 1.935 0 1 2163.9 1 2160 2 1.935 1 1 2167.7 . 2 2160 2 1.935 2 1 2171.61 1 , 2 , 12 obs obs cm BH z Hz R branch v v B J J Rc P branch v v BJ J P −− × =×× = −= + + = =+ + = + = + = = = ± ± ±± ± ( ) , 2 . . . 3 . . . c m m m m 1 1 1 160 2 1.935 1 2156.1 2 2160 2 1.935 2 2152.3 3 2160 2 1.935 3 2148.4 cm Pc =− = = m m 2) McQ&S, 13-12 (Consider only J=0,1, and 2) , 27 27 1 27 10 34 22 21 0 1 v1 2 1 2 619 1.6605402 10 7.572 10 9 1 1 250.0 / 964.6 2 7.572 10 2 2.998 10 / 6.626 10 8 8 2.998 10 / 7.572 vJ EG v F J v B J J Need v and B k v c kg kg kN m vc ck g cm s hJ s B cr cm s πμ μ π ⎛⎞ = + + + ⎜⎟ ⎝⎠ = × = × + == = × × ×⋅ ×× ± ± ± ± ± ± ( ) m 1 2 27 12 1.52 10 156.0 10 cm kg m = × PS #11 – Solutions - 1 -
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() 11 , 0,0 0,1 0,2 1,0 1,1 1,2 1 v 964.6 1.52 1 2 482.2 485.3 491.4 1447 1450 1456 vJ Ec m c m J J 1 1 E cm E cm E cm m m m −− ⎛⎞ =+ + + ⎜⎟ ⎝⎠ == = = ± Energy Level Diagram 400 600 800 1000 1200 1400 Energy (cm-1) v=0 v=1 On this scale, it is virtually impossible to distinguish the rotational levels. Selection Rules: v 1, 1 Allowed transitions would be (all from v=0 v=1): J=0 J=1 J=1 J=0,1 J=2 J=1,3 J Δ=+ Δ=± () ( ) ( ) 1 1 1 1 1 : 2 1 0,1,2. .. 0 964.6 2 1.52 0 1 967.6 1 964.6 2 1.52 1 1 970.7 .
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This note was uploaded on 02/12/2011 for the course CHEMISTRY 442 taught by Professor Lizzy during the Spring '10 term at Hanoi University of Technology.

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PS11-08-Solution - Chem 442B Homework Set #11 DUE:...

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