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Which one of the following correctly represents the formation of bonding molecular orbital from the atomic orbitals having wave functions ψA and ψB ?

Question

Which one of the following correctly represents the formation of bonding molecular orbital from the atomic orbitals having wave functions ψA \psi_A and ψB \psi_B ?

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Solution

The formation of a bonding molecular orbital from atomic orbitals having wave functions ψA and ψB is represented by the addition of the wave functions, which is ψA + ψB.

Here's the step-by-step explanation:

  1. Atomic orbitals are mathematical functions that describe the properties of electrons in atoms. These functions are denoted by ψ (psi).

  2. When two atomic orbitals combine, they form a molecular orbital. This can happen in two ways: either the wave functions of the atomic orbitals add together, or they subtract from each other.

  3. If the wave functions add together (ψA + ψB), a bonding molecular orbital is formed. This is because the electron density between the two atoms increases, which leads to the formation of a bond.

  4. If the wave functions subtract from each other (ψA - ψB), an antibonding molecular orbital is formed. This is because the electron density between the two atoms decreases, which leads to the formation of an antibond.

So, the correct representation of the formation of a bonding molecular orbital from atomic orbitals having wave functions ψA and ψB is ψA + ψB.

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