As noted in lecture, the rigid rotor model can be improved by recognizing that in a realistic anharmonic potential, the bond length increases with the vibrational quantum number v. Thus, the rotational constant depends on v, and it can be shown that B, = Be – ac(v+). For 'H®Br, B = 8.473 cm' and a = 0.226 cm². Use this information to calculate the bond length for HBr a) as a rigid rotor, and b) as a nonrigid rotor in the ground vibrational state. Find a literature value for this bond length (cite your source) and compare your answers. Under what conditions would you expect the nonrigid rotor to be a significantly better model?

As noted in lecture, the rigid rotor model can be improved by recognizing that in a realistic anharmonic potential, the bond length increases with the vibrational quantum number v. Thus, the rotational constant depends on v, and it can be shown that B, = Be – ac(v+). For 'H®Br, B = 8.473 cm' and a = 0.226 cm². Use this information to calculate the bond length for HBr a) as a rigid rotor, and b) as a nonrigid rotor in the ground vibrational state. Find a literature value for this bond length (cite your source) and compare your answers. Under what conditions would you expect the nonrigid rotor to be a significantly better model?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

As noted in lecture, the rigid rotor model can be improved by recognizing that in a realistic
anharmonic potential, the bond length increases with the vibrational quantum number v. Thus,
the rotational constant depends on v, and it can be shown that By = Be – ae(v +). For 'H®Br,
B = 8.473 cm1 and a = 0.226 cm². Use this information to calculate the bond length for HBr
a) as a rigid rotor, and b) as a nonrigid rotor in the ground vibrational state. Find a literature
value for this bond length (cite your source) and compare your answers. Under what conditions
would you expect the nonrigid rotor to be a significantly better model?

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