Unformatted text preview: 2 Υ 1 EΥ 2 2 (10) Exercise 7. The fundamental vibrational frequency of 7 Li19 F is 911 cm 1 . Using
the results from the previous problems, determine the standard deviation in the
bond length when the molecule is in the Υ = 0, Υ = 1, and Υ = 2 vibrational states.
Give your result as a fraction of the equilibrium bond length, Re 1.564 . Printed by Wolfram Mathematica Student Edition 12 CHM345_HW7_13.nb In[323]:= 6.626 10
Μ
Ω
c 34 ; 27 8.494 10
;
2 Π c 911;
2.998 1010 ;
ΜΩ 1.564 10 10 2
Out[327]= 1.40506 10 33 Exercise 8. What are the values of x for the classical turning points of
7 19
Li F when the molecule is in its ground vibrational state (express your answer
in Angstroms)? [See McQuarrie 537] In[308]:= 6.626 10
Μ
Ω
c 34 ; 8.494 10 27 ;
2 Π c 911;
2.998 1010 ; ΜΩ Out[312]= 2.13209 10 11 0.2132 angstroms Exercise 9. Determine the probability that the bond length of 7 Li19 F will be
found outside its classical turning points when it is in its ground vibrational
state. [See McQuarrie 537]
Exercise 10. Discuss the infrared and Raman activities of the following
vibrational modes of CO2 (the bending mode is doubly degenerate) and H2O. Printed by Wolfram Mathematica Student Edition CHM345_HW7_13.nb for CO2 :
for
v1
not infrared active
v3 & v2
infrared active
H2 O :
All are infrared active Printed by Wolfram Mathematica Student Edition 13...
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 Fall '13
 Uncertainty Principle, Mathematica, Wolfram Research, Mathematica Student Edition, HermiteH Ν

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