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2. The ultraviolet photoelectron spectrum of N2 exhibits three distinct ionizations, depicted below (we also discussed this spectrum in Lecture 30). The corresponding ionizations are: First ionization: lines at 15.57 and 15.83 eV Second ionization: lines at 16.69, 16.92, 17.15, 17.38, 17.61 and 17.84 eV Third ionization: lines at 18.75 and 19.07 eV Counts per second 2 3 Kinetic energy/eV 5 | 6 17 8 (a) Assuming the harmonic oscillator model, determine the vibrational frequencies (in cm³¹) of each of the ions formed. Do the changes in vibrational frequencies reflect the changes you anticipate based on the bond orders of the ions? For reference, the vibrational frequency of N2 is 0.29 eV. (b) Using the information from (a), sketch on the same graph the approximate potential energy curves of N2 and each of the three ions formed in the UPS experiment, and indicate the relative spacing of the vibrational levels (i.e., which species has the largest and which has the smallest separation of the vibrational energy levels).

2. The ultraviolet photoelectron spectrum of N2 exhibits three distinct ionizations, depicted below (we also discussed this spectrum in Lecture 30). The corresponding ionizations are: First ionization: lines at 15.57 and 15.83 eV Second ionization: lines at 16.69, 16.92, 17.15, 17.38, 17.61 and 17.84 eV Third ionization: lines at 18.75 and 19.07 eV Counts per second 2 3 Kinetic energy/eV 5 | 6 17 8 (a) Assuming the harmonic oscillator model, determine the vibrational frequencies (in cm³¹) of each of the ions formed. Do the changes in vibrational frequencies reflect the changes you anticipate based on the bond orders of the ions? For reference, the vibrational frequency of N2 is 0.29 eV. (b) Using the information from (a), sketch on the same graph the approximate potential energy curves of N2 and each of the three ions formed in the UPS experiment, and indicate the relative spacing of the vibrational levels (i.e., which species has the largest and which has the smallest separation of the vibrational energy levels).

Introductory Chemistry: An Active Learning Approach
Introductory Chemistry: An Active Learning Approach
6th Edition
ISBN:9781305079250
Author:Mark S. Cracolice, Ed Peters
Publisher:Mark S. Cracolice, Ed Peters
Chapter11: Atomic Theory :the Quantum Model Of The Atom
Section: Chapter Questions
Problem 109E
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2. The ultraviolet photoelectron spectrum of N2 exhibits three distinct ionizations, depicted below (we also discussed this spectrum in Lecture 30). The corresponding ionizations are: First ionization: lines at 15.57 and 15.83 eV Second ionization: lines at 16.69, 16.92, 17.15, 17.38, 17.61 and 17.84 eV Third ionization: lines at 18.75 and 19.07 eV Counts per second 2 3 Kinetic energy/eV 5 | 6 17 8
Transcribed Image Text:2. The ultraviolet photoelectron spectrum of N2 exhibits three distinct ionizations, depicted below (we also discussed this spectrum in Lecture 30). The corresponding ionizations are: First ionization: lines at 15.57 and 15.83 eV Second ionization: lines at 16.69, 16.92, 17.15, 17.38, 17.61 and 17.84 eV Third ionization: lines at 18.75 and 19.07 eV Counts per second 2 3 Kinetic energy/eV 5 | 6 17 8
(a) Assuming the harmonic oscillator model, determine the vibrational frequencies (in cm³¹) of each of the ions formed. Do the changes in vibrational frequencies reflect the changes you anticipate based on the bond orders of the ions? For reference, the vibrational frequency of N2 is 0.29 eV. (b) Using the information from (a), sketch on the same graph the approximate potential energy curves of N2 and each of the three ions formed in the UPS experiment, and indicate the relative spacing of the vibrational levels (i.e., which species has the largest and which has the smallest separation of the vibrational energy levels).
Transcribed Image Text:(a) Assuming the harmonic oscillator model, determine the vibrational frequencies (in cm³¹) of each of the ions formed. Do the changes in vibrational frequencies reflect the changes you anticipate based on the bond orders of the ions? For reference, the vibrational frequency of N2 is 0.29 eV. (b) Using the information from (a), sketch on the same graph the approximate potential energy curves of N2 and each of the three ions formed in the UPS experiment, and indicate the relative spacing of the vibrational levels (i.e., which species has the largest and which has the smallest separation of the vibrational energy levels).
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