Question:

Stability of the species $ Li_2 , Li_2^- , \, \, and \, \, Li_2^+ $ increases in the order of

Updated On: Aug 21, 2024
  • $ Li < Li_2^+ < Li_2^- $
  • $ Li_2^- < Li_2^+ < Li_2 $
  • $ Li_2 < Li_2^- < Li_2^+ $
  • $ Li_2^- < Li_2 < Li_2^+ $
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The Correct Option is B

Solution and Explanation

The correct answer is B:\(Li^-_2<  Li^+_2 < Li_2\)
Electrons in \(Li_2=6\)
Bond order\(= \frac{4-2}{2} =1\) 
Electrons for \(Li^+_2\space is\space 5\)
Bond order\(= \frac{3-2}{2} = 0.5\) 
Electrons for \(Li^-_2 \space{is}\space 7\)
Bond order\(= \frac{4-3}{2} =0.5\)
More the electrons in the bonding orbitals the more is the stability. 
Therefore, the order of stability is  \(Li^-_2<  Li^+_2 < Li_2\)
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Concepts Used:

Molecular Orbital Theory

The Molecular Orbital Theory is a more sophisticated model of chemical bonding where new molecular orbitals are generated using a mathematical process called Linear Combination of Atomic Orbitals (LCAO).

Molecular Orbital theory is a chemical bonding theory that states that individual atoms combine together to form molecular orbitals. Due to this arrangement in MOT Theory, electrons associated with different nuclei can be found in different atomic orbitals. In molecular orbital theory, the electrons present in a molecule are not assigned to individual chemical bonds between the atoms. Rather, they are treated as moving under the influence of the atomic nuclei in the entire molecule

Molecular Orbital Theory
Molecular Orbital Theory