Photoelectron Spectroscopy (College Board AP Chemistry)

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Photoelectron Spectroscopy

  • Photoelectron spectroscopy (PES) is an experimental technique that is used to measure the relative energies of electrons ejected by a source of radiation
  • Binding energy is the energy required to remove an electron by overcoming the coulombic attraction to the nucleus
  • A PES spectrum is diagram that shows the relation between the binding energy (x-axis) and the relative number of electrons removed (y-axis)
  • A PES spectrum is directly related to the electron configuration of an atom
  • Peaks in the PES spectrum correspond to the energy needed to remove an electron from each shell
    • Electrons in different subshells experience different effective nuclear charge, affecting the energy
  • The height of the peaks in a PES spectrum determine the amount of electrons removed from a subshell

Interpreting a PES Spectrum

  • Photoelectron Spectroscopy (PES) provides insight into the shells and subshells of electrons within an atom or ion
  • Lower binding energy indicates electrons in subshells closer to the nucleus, which require less energy to remove
  • Peaks with a greater number of electrons in a subshell will be taller

Exam Tip

Interpreting a PES spectrum is assessed in most of the AP Chemistry Examinations, so make sure to understand its principles and how to predict the electron configuration of an element by analyzing the spectrum

Worked example

A PES analysis of an unknown element (X) was performed and the spectrum below was obtained. The sample does not contain any impurities. What is the identity of X?

pes-spectrum-for-an-unknown-atom

Unknown sample PES Spectrum

Answer:

  • Step 1: Analyze the number of peaks
    • Since there are three peaks, this will correspond to the three first subshells of an atom: 1s, 2s and 2p
  • Step 2: Analyze the position of the peaks
    • The peak with the highest binding energy will correspond to the 1s subshell since it is the closest to the nucleus, and the coulombic attractions are stronger
    • The peak with the lowest binding energy will correspond to the 2p subshell since it is the farthest to the nucleus, and the coulombic attractions are weaker
    • Therefore, the peak in the middle will correspond to the 2s subshell
  • Step 3: Analyze the height of the peaks
    • When comparing the height of the three peaks, they are all the same.
    • Therefore, the same number of electrons have been removed in the 1s, 2s and 2p
    • Since, subshells 1s and 2s can hold up to 2 electrons, the amount of electrons in the 2p subshell for this atom was 2
  • Step 4: Predict the electron configuration of the atom
    • 1s2 2s2 2p2
    • We can connect the electron configuration with the PES Spectrum labeled below

pes-spectrum-labeled

PES Spectrum labeled

  • Step 5: Identify the element using the periodic table
    • There are two ways to identify the unknown element:
      • Counting the electrons and calculating the protons
        • 6 electrons and, since it was a neutral sample, there are 6 protons

OR

      • Counting the valence electrons and identify the period
        • There are 4 valence electrons, therefore the element should be in Group 14 of your AP Chemistry Periodic Table
        • Since the valence electrons are in the second shell, the element should be in the second period of the periodic table
  • Therefore, element X is carbon (C)

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Martín

Author: Martín

Martín, a dedicated chemistry teacher and tutor, excels in guiding students through IB, AP, and IGCSE Chemistry. As an IB Chemistry student, he came from hands-on preparation, focusing on practical exam techniques and rigorous practice. While at Universidad San Francisco de Quito, his academic journey sparked a passion for computational and physical chemistry. Martín specializes in chemistry, and he knows that SaveMyExams is the right place if he wants to have a positive impact all around the world.