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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d7dc701-b654-4339-995f-9e7ccdd48dfe%2F6c24aba1-097f-4410-83b7-affcf28d0072%2Fvqdh7hs_processed.png&w=3840&q=75)
Transcribed Image Text: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.
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