Question:

Zr (Z=40) and Hf (Z=72) have similar atomic and ionic radii because of

Updated On: Nov 13, 2025
  • having similar chemical properties

  • belonging to same group

  • diagonal relationship

  • lanthanoid contraction

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The Correct Option is D

Solution and Explanation

To understand why Zr (Zirconium) and Hf (Hafnium) have similar atomic and ionic radii, we need to delve into the concept of "lanthanoid contraction".

  1. Understanding Lanthanoid Contraction:
    • The lanthanoid contraction refers to the steady decrease in the size of the atoms and ions of the lanthanoids with increasing atomic number, from Lanthanum (La) to Lutetium (Lu).
    • This is because as we move across the lanthanoid series, new electrons are added to the f-orbital, and the increased effective nuclear charge causes a greater attraction between the electrons and the nucleus, resulting in a smaller atomic and ionic size.
  2. Impact on Zirconium (Zr) and Hafnium (Hf):
    • Zirconium and Hafnium are placed in the same group (Group 4) of the periodic table, thus having similar electronic configuration in their outermost shells.
    • Despite the difference in atomic numbers (Zr = 40 and Hf = 72), their atomic and ionic radii are strikingly similar. This anomaly arises because of the lanthanoid contraction.
    • The addition of 4f electrons in the lanthanoid series, which occurs just before Hafnium, causes a contraction that offsets the increase in size that would ordinarily be expected from the additional electron shells.
  3. Conclusion:
    • Therefore, the similar atomic and ionic radii of Zr and Hf can be attributed directly to the lanthanoid contraction, which is highlighted in the correct option.

Hence, the correct answer is lanthanoid contraction.

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Concepts Used:

Lanthanoids

Lanthanoids are at the top of these two-row, while actinoids are at the bottom row.

Properties of Lanthanoids

Lanthanoids are inclusive of 14 elements, with atomic numbers 58-71:

  • Cerium - Xe 4f1 5d1 6s2
  • Praseodymium - Xe 4f3 6s2
  • Neodymium - Xe 4f4 6s2
  • Promethium - Xe 4f5 6s2
  • Samarium - Xe 4f6 6s2
  • Europium - Xe 4f7 6s2
  • Gadolinium - Xe 4f7 5d1 6s2
  • Terbium - Xe 4f9 6s2
  • Dysprosium - Xe 4f10 6s2
  • Holmium - Xe 4f11 6s2
  • Erbium - Xe 4f12 6s2
  • Thulium - Xe 4f13 6s2
  • Ytterbium - Xe 4f14 6s2
  • Lutetium - Xe 4f14 5d1 6s2

These elements are also called rare earth elements. They are found naturally on the earth, and they're all radioactively stable except promethium, which is radioactive. A trend is one of the interesting properties of the lanthanoid elements, called lanthanide contraction.