Question:

The number of given orbitals which have electron density along the axis is _____ $p _x, p _y, p _z, d _{x y}, d _{y z}, d _{x z}, d _z 2, d _x{ }^2-y^2$

Updated On: Mar 21, 2025
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Correct Answer: 5

Solution and Explanation

The correct answer is 5

The orbitals \( p_{x}, p_{y}, p_{z}, d_{z^{2}}, \) and \( d_{x^{2}-y^{2}} \) are considered axial orbitals. The \( p \)-orbitals, such as \( p_{x}, p_{y}, \) and \( p_{z} \), have their lobes aligned along the x, y, and z axes, respectively. 

These are termed as axial orbitals since they lie along the axis of symmetry of a molecule. The \( d \)-orbitals, specifically \( d_{z^{2}} \) and \( d_{x^{2}-y^{2}} \), also align with the axis of symmetry and are part of the axial set, which directly participate in bonding along the principal axis in a molecule.

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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

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