Question:

The ′f′ orbitals are half and completely filled, respectively in lanthanide ions
[Given: Atomic no. Eu, 63; Sm, 62; Tm, 69; Tb, 65; Yb, 70; Dy, 66]

Updated On: Sep 24, 2024
  • \(Eu^{2+}\) and \(Tm^{2+}\)
  • \(Sm^{2+}\) and \(Tm^{3+}\)
  • \(Tb^{4+}\) and \(Yb^{2+}\)
  • \(Dy^{3+}\) and \(Yb^{3+}\)
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The Correct Option is C

Solution and Explanation

 +2+3+4
Eu\(4f^7\)\(4f^6\) 
Tm\(4f^{13}\)\(4f^{12}\) 
Sm\(4f^6\)\(4f^5\) 
Tb\(4f^9\)\(4f^8\)\(4f^7\)
Yb\(4f^{14}\)\(4f^{13}\) 
Dy\(4f^{10}\)\(4f^9\) 

Hence, the pair \(Tb^{+4} Yb^{+2}\) have half filled and completely filled \(f\) subshells respectively.

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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.