Trends in Atomic Size and Radii

Sep 20, 2024

Lecture 30.2: Atomic Properties - Atomic Size and Radii

Introduction

  • Focus on atomic size, also known as atomic radii.
  • Two main trends:
    1. Increases going down a group.
    2. Decreases going across a period.

Atomic Radii: Definitions and Measurement

  • Atomic radius is half the distance between adjacent nuclei in a molecule.
  • Measured from nucleus to nucleus.

Trend 1: Increasing Atomic Radii Down a Group

  • Reason: Addition of electron shells as you move down a group.
  • Principal quantum number (n) increases, adding energy levels further from the nucleus.
  • Example: As n increases from 1 to 2 to 3, the atomic size increases.

Trend 2: Decreasing Atomic Radii Across a Period

  • Challenge: Understanding why radii decrease across a period.
  • As atomic number increases, proton count increases.
  • Positive nuclear charge increases, pulling electrons closer.
  • Electrons added to the same energy level.

Effective Nuclear Charge

  • Equation: Z-effective = Nuclear Charge (Protons) - Shielding Electrons (Core Electrons).
  • Effect: As protons increase across a period, effective nuclear charge increases.
  • Result: Stronger pull on electrons reduces atomic size.

Neutral Atoms to Ions

Formation of Positive Ions

  • Loss of electrons from outermost shell, decreasing atomic size.
  • Example: Aluminum becomes smaller when forming Al³⁺.
  • Reason: Removal of an electron shell increases nuclear pull on remaining electrons.

Formation of Negative Ions

  • Addition of electrons, increasing atomic size.
  • Reason: Adding electrons decreases effective nuclear charge, increasing radius.

Ionic Radii Trends

  • Positive Ions: Size decreases across a period as nuclear charge increases.
  • Negative Ions: Size increases with additional electrons.
  • Overall: Understanding ionic radii requires knowledge of electron configuration changes.

Summary of Trends

  • Down a group: Atomic size increases due to added electron shells.
  • Across a period: Size decreases due to increasing effective nuclear charge.
  • Practical Insight: Understand why these trends occur, not just what the trends are.