U1.6 · Photoelectron Spectroscopy (PES)Practice · 光电子能谱(PES)
Lessons covered:U1.6 Photoelectron Spectroscopy (PES)U1.8 Valence Electrons and Ionic Compounds
- 1Multiple choice
This photoelectron spectrum (PES) shows every electron in one atom of an element (peak height shows the number of electrons). Which element is it?
ExplanationFrom left (high binding energy) to right, the five peaks are 1s, 2s, 2p, 3s, and 3p, with heights 2 : 2 : 6 : 2 : 1: [Ne]3s²3p¹, 13 electrons, which is Al. Na and Mg have only four peaks (3s¹ and 3s²), and Si’s 3p peak would be as tall as its 3s peak.
- 2Multiple choice
The complete PES of an element is shown. How many valence electrons does an atom of this element have?
ExplanationThe two lowest-energy peaks are the outer shell (n = 3): 3s with height 2 and 3p with height 4, so 6 valence electrons. This is sulfur ([Ne]3s²3p⁴). Counting only the rightmost peak (4) misses the 3s electrons; 16 is the total number of electrons.
- 3Multiple choice
In PES, the 1s peak of Ne is at about 84 MJ/mol, while that of Ar is at about 309 MJ/mol. Which best explains why Ar’s 1s binding energy is so much larger?
ExplanationBoth atoms’ 1s electrons are innermost and nearly unshielded, so their attraction depends mainly on nuclear charge. Ar has 18 protons and Ne 10, so Ar’s 1s electrons are held more tightly and sit closer in, with about 3.7 times the binding energy (data: LBNL X-ray Data Booklet). Both are noble gases, and 1s is n = 1 in both.
- 4Multiple choice
Comparing the complete PES of Na and Mg, which description is correct?
ExplanationNa is [Ne]3s¹ (peak heights 2 : 2 : 6 : 1) and Mg is [Ne]3s² (2 : 2 : 6 : 2): both have four peaks (1s, 2s, 2p, 3s), and Mg’s 3s peak is twice as tall. With one more proton, every level in Mg is held more tightly, so each peak shifts to a higher binding energy (to the left).
- 5Multiple choice
The complete PES of an element is shown. What is the charge of the ion this element most commonly forms?
ExplanationPeak heights 2 : 2 : 6 : 2 : 5 mean 1s²2s²2p⁶3s²3p⁵, 17 electrons: chlorine. With 7 valence electrons, it gains 1 to reach argon’s configuration, forming with a charge of −1.
Review: U1.6 Photoelectron Spectroscopy (PES)U1.8 Valence Electrons and Ionic Compounds
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