Rf मान कैलकुलेटरसूत्र

Atomic Radius Trend

Approximate Formula

r ∝ n² / Z_eff

In Bohr model terms: r ≈ (n² / Z_eff) × a₀

Where a₀ = 53 pm (Bohr radius)

Where:

  • n = principal quantum number (shell number)
  • Z_eff = effective nuclear charge
  • Atomic radius decreases across a period (Z_eff increases, same n) and increases down a group (n increases faster than Z_eff).

    हल किया गया उदाहरण

    Sodium: n = 3 (3rd period), Z_eff ≈ 2.2.

    1. r ∝ n²/Z_eff
    2. r ∝ 9/2.2
    3. r ∝ 4.09
    4. Approximate radius = 4.09 × 53 pm ≈ 217 pm
    5. Actual Na radius ≈ 186 pm (this is an estimate)