4. Consider a hypothetical system in which the energy levels are given by: End = w˜(n² + 1/2) + BJ 2(J+1) with n = 0,1,2,... and J = 0,1,2,... where w = 1000 cm-1 and B = 2 cm-¹. The quantum numbers (a) Sketch an energy level diagram for the lowest few n and J states. (b) Suppose the selection rules for this system demand An = ±1 and AJ = ±2. Draw arrows showing the possible excitations if you start in the n = 0 and J = 3 state. (c) Suppose at the temperature of the experiment, the molecules are found primarily in then = 0 and 0-4 states. Calculate the energies of the allowed excitations from these states and sketch the resulting spectrum you would obtain.

4. Consider a hypothetical system in which the energy levels are given by: End = w˜(n² + 1/2) + BJ 2(J+1) with n = 0,1,2,... and J = 0,1,2,... where w = 1000 cm-1 and B = 2 cm-¹. The quantum numbers (a) Sketch an energy level diagram for the lowest few n and J states. (b) Suppose the selection rules for this system demand An = ±1 and AJ = ±2. Draw arrows showing the possible excitations if you start in the n = 0 and J = 3 state. (c) Suppose at the temperature of the experiment, the molecules are found primarily in then = 0 and 0-4 states. Calculate the energies of the allowed excitations from these states and sketch the resulting spectrum you would obtain.

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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CH3 O || H;C-CH-C-CH,-CH3 Type of functional group w. || H3C-CH-C-CH,-CH3 IUPAC CH3 O || H3C-CH-C-CH2-CH3 Derived Name CH3 Type of functional group х. CH3 Common Name 1 CH3 Common Name 2 (Derived Name)