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The energy of the incoming photon, Eotal, is conserved in photoelectron spectroscopy. Therefore, the energy of the incoming photon is equal to the , plus the , so The energy of the incoming photon can also be expressed as , and the kinetic energy of the outgoing electron can be expressed as . The energy required to eject the electron corresponds to the . Substituting these expressions into the original expression for Ewtal produces the desired relationship between the speed of the ejected electron and the frequency of the incoming radiation,

The energy of the incoming photon, Eotal, is conserved in photoelectron spectroscopy. Therefore, the energy of the incoming photon is equal to the , plus the , so The energy of the incoming photon can also be expressed as , and the kinetic energy of the outgoing electron can be expressed as . The energy required to eject the electron corresponds to the . Substituting these expressions into the original expression for Ewtal produces the desired relationship between the speed of the ejected electron and the frequency of the incoming radiation,

Chemistry
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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In photoelectron spectroscopy (PES), ultraviolet radiation is directed at an atom or a molecule. Electrons are ejected from the valence shell and their kinetic energies are measured. Because the energy of the incoming ultraviolet photon is known and the kinetic energy of the outgoing electron is measured, the ionization energy, I, can be deduced from the fact that the total energy is conserved. The speed of the ejected electron, v, and the frequency of the incoming radiation, v, are related by the equation hv = I + m,u? where h is Planck's constant and m, is the mass of an electron. Show that this relationship is true by completing the statement. The energy of the incoming photon, Eotal, is conserved in photoelectron spectroscopy. Therefore, the energy of the incoming photon is equal to the plus the , so The energy of the incoming photon can also be expressed as and the kinetic energy of the outgoing electron can be expressed as . The energy required to eject the electron corresponds to the . Substituting these expressions into the original expression for E1otal produces the desired relationship between the speed of the ejected electron and the frequency of the incoming radiation, Answer Bank Egjecticn = mu? energy to eject the electron, Eejection Eotal = hv Exinetic =I Exinetic = m,u? E1otal kinetic energy of the outgoing electron, Exinetic Eotal = Eejection + Exinetic hv = I+ +m,u² jonization energy, I
Transcribed Image Text:In photoelectron spectroscopy (PES), ultraviolet radiation is directed at an atom or a molecule. Electrons are ejected from the valence shell and their kinetic energies are measured. Because the energy of the incoming ultraviolet photon is known and the kinetic energy of the outgoing electron is measured, the ionization energy, I, can be deduced from the fact that the total energy is conserved. The speed of the ejected electron, v, and the frequency of the incoming radiation, v, are related by the equation hv = I + m,u? where h is Planck's constant and m, is the mass of an electron. Show that this relationship is true by completing the statement. The energy of the incoming photon, Eotal, is conserved in photoelectron spectroscopy. Therefore, the energy of the incoming photon is equal to the plus the , so The energy of the incoming photon can also be expressed as and the kinetic energy of the outgoing electron can be expressed as . The energy required to eject the electron corresponds to the . Substituting these expressions into the original expression for E1otal produces the desired relationship between the speed of the ejected electron and the frequency of the incoming radiation, Answer Bank Egjecticn = mu? energy to eject the electron, Eejection Eotal = hv Exinetic =I Exinetic = m,u? E1otal kinetic energy of the outgoing electron, Exinetic Eotal = Eejection + Exinetic hv = I+ +m,u² jonization energy, I
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