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S3.1.7 Discontinuities in ionization energy trends (Higher Level Only)

S3.1.7 Discontinuities in Ionization Energy Trends (Higher Level Only)

Explanation of Discontinuities in Ionization Energy Trends

General Trend Across a Period

As you move across a period in the periodic table:

  • Nuclear charge increases (more protons in the nucleus).
  • Electrons are added to the same principal energy level, so shielding remains relatively constant.
  • The increased attraction between the nucleus and the outermost electrons results in a higher ionization energy.
However, this smooth increase is interrupted at specific points due to the stability of half-filled and fully filled sublevels.

Stability of Half-Filled and Fully Filled Sublevels

  • Electrons in an atom are arranged in sublevels (s, p, d, etc.), which have distinct energy levels.
  • The stability of an atom's electron configuration depends on how these sublevels are filled. Two configurations are particularly stable:
    • Half-filled sublevels: Sublevels where each orbital contains one electron (e.g., p³ or d⁵).
    • Fully filled sublevels: Sublevels where all orbitals are completely filled (e.g., p⁶ or d¹⁰).

This stability arises from:

  • Symmetry: Half-filled and fully filled sublevels have symmetrical electron distributions, which lower the energy of the atom.
  • Exchange energy: Electrons in half-filled sublevels can exchange positions within orbitals, which increases stability due to reduced electron repulsion.
Ionization energy trend across the period.
Ionization energy trend across the period.

Key Discontinuities in Ionization Energy

1. Between Group 2 and Group 13 Elements

  • Example: Be (Group 2) vs. B (Group 13)
  • Observation: The ionization energy of B is lower than expected, despite the general trend of increasing ionization energy across a period.
  • Explanation:
    • Be has a fully filled 2s sublevel (2s²), which is particularly stable.
    • B has an electron in the 2p sublevel (2s² 2p¹).
    • The 2p electron is higher in energy and experiences less nuclear attraction due to shielding by the 2s electrons.
    • This makes it easier to remove, resulting in a lower ionization energy.
Trends in ionizations energy between Group 2 and Group 13 elements.
Trends in ionizations energy between Group 2 and Group 13 elements.

2. Between Group 15 and Group 16 Elements

  • Example: N (Group 15) vs. O (Group 16)
  • Observation: The ionization energy of O is lower than expected.
  • Explanation:
    • N has a half-filled 2p sublevel (2p³), which is particularly stable.
    • O has one more electron (2p⁴), which introduces electron-electron repulsion within the 2p orbital.
    • This repulsion makes it easier to remove an electron from O, resulting in a lower ionization energy.

Tip

Remember: Discontinuities in ionization energy trends are directly linked to the stability of half-filled and fully filled sublevels.

Trends in ionization energy between Group 15 and Group 16 elements.
Trends in ionization energy between Group 15 and Group 16 elements.

Evidence for Sublevels: Ionization Energy Trends

  1. The periodic trends in ionization energy provide strong evidence for the existence of sublevels (s, p, and d).
  2. If electrons were arranged in a simple, uniform manner, ionization energy would increase smoothly across a period.
  3. However, the observed discontinuities reveal the presence of distinct sublevels with varying stability.

How Ionization Energy Trends Support Sublevels

  1. Sharp Increases Between Energy Levels
    • A significant jump in ionization energy occurs when removing an electron from a lower principal energy level (e.g., from 2p to 1s).
    • This indicates that electrons are organized into distinct energy levels and sublevels.
  2. Discontinuities Within a Period
    • The deviations in ionization energy trends (e.g., between Groups 2 and 13 or Groups 15 and 16) align with the filling of sublevels (s, p, d).
    • This supports the idea that sublevels have different energy levels and stability.
  3. Transition Metals and d Sublevels
    • The relatively small changes in ionization energy across the transition metals (d-block) reflect the filling of the d sublevel, which is closer in energy to the s sublevel.
    • This provides further evidence for the existence of d sublevels.

Example

Evidence from Successive Ionization Energies

Consider the successive ionization energies of magnesium (Mg):

  • 1st ionization energy: 738 kJmol1 (removal of 3s¹ electron)
  • 2nd ionization energy: 1451 kJmol1 (removal of 3s² electron)
  • 3rd ionization energy: 7732 kJmol1 (removal of 2p⁶ electron)

The sharp increase between the 2nd and 3rd ionization energies indicates that the 3rd electron is being removed from a lower energy level (2p), providing evidence for distinct sublevels.

Common Mistake

Students often assume that ionization energy always increases smoothly across a period. Remember to account for the stability of half-filled and fully filled sublevels when explaining discontinuities.

Reflection

Self review

  1. Why is the ionization energy of nitrogen higher than oxygen, despite being earlier in the period?
  2. How do successive ionization energies provide evidence for sublevels?

Theory of Knowledge

How does the concept of stability in electron configurations relate to broader ideas of stability in nature? Can we draw parallels between atomic stability and stability in other systems, such as ecosystems or economies?

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Questions

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Question 1

What role does electron-electron repulsion play in the lower ionization energy of oxygen compared to nitrogen, despite its position in the periodic table?

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Note

Ionization Energy and its Discontinuities

  • Ionization energy is the energy required to remove an electron from an atom in its gaseous state.
  • It generally increases across a period due to increasing nuclear charge and decreasing atomic radius.
  • However, there are specific points where this trend is interrupted, known as discontinuities.

Analogy

Think of ionization energy as the effort needed to pull a book from a tightly packed shelf. As the shelf gets more crowded (like electrons in an atom), it generally becomes harder to remove a book. But if you find a naturally organized section (like a half-filled sublevel), it might be easier to pull one out.