Nb in323 6626 10 c 34 27 8494 10 2 c 911 2998

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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 5-37] 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 5-37] 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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