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.

Principles of Instrumental Analysis

7th Edition

ISBN:9781305577213

Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Chapter8: An Introduction To Optical Atomic Spectrometry

Section: Chapter Questions

Problem 8.9QAP

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