Atomic Radius

Chemistry

1. Fundamental Concepts

  • Atomic Radius is defined as the distance from the nucleus of an atom to the outermost valence electron shell. It is a measure of atomic size, typically expressed in picometers (pm, 1 pm = 10⁻¹² m).
    Key measurement types:
    • Covalent Radius: Half the distance between the nuclei of two covalently bonded identical atoms (e.g., Cl₂).
    • Metallic Radius: Half the distance between the nuclei of two adjacent atoms in a metallic crystal (e.g., Na metal).

2. Key Concepts

Periodic Trends

  1. Across a Period (Left to Right): Atomic radius decreases.
    • Reason: Increasing nuclear charge (more protons) pulls valence electrons closer to the nucleus; electron shielding remains constant.
  2. Down a Group (Top to Bottom): Atomic radius increases.
    • Reason: Addition of new electron shells (higher principal quantum number n); electron shielding outweighs increased nuclear charge.

Exceptions

  • Noble gases have larger atomic radii than adjacent halogens because they are measured by van der Waals radius (weaker intermolecular forces).
  • Transition metals show slight variation in atomic radius across periods due to d-electron shielding.

3. Examples

Easy

  1. Atomic radius ____________ (increases/decreases) as you move down Group 1 (alkali metals).
     
    Answer: increases

Medium

  1. In Period 3, the atom with the largest atomic radius is ____________ (Na/Mg/Al/Si/P/S/Cl/Ar).
     
    Answer: Na

Hard

  1. Arrange the following atoms in order of increasing atomic radius: O, S, Se, F ____________.
     
    Answer: F < O < S < Se

4. Problem-Solving Techniques

  • Trend Application:
    • First, identify the period and group of each atom using the periodic table.
    • Compare across periods (nuclear charge) and down groups (electron shells) separately.
  • Exception Handling:
    • Exclude noble gases when comparing with adjacent elements in the same period (due to van der Waals radius).
  • Stepwise Comparison for Multiple Atoms:
    • Group atoms by the same period or group first.
    • Use a "chain comparison" (e.g., A < B in Period 2, B < C in Group 16 → A < B < C).
  • Unit Awareness:
    • Ensure consistency in units (pm is standard) when comparing numerical values of atomic radii.