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L.C.A.O. Principle is involved in the fo...

L.C.A.O. Principle is involved in the formationof the molecular orbitals according ot molecular orbital theory. The energy of the bonding molecular orbital is less than that of thecombining atomic orbitals while that of the antibonding molecular orbitals while that of the order `(B.O.)=1/2(N_(b)-N_(a))` helps in predicting (i) formation of molecules/molecular ions, bond dossociation energy, stability and bond length. Only the molecules or ions with positive B.O. can be formed. These will be diamagnetic if all molecular orbitals are dilled and paramagnetic if one of more are half filled. The atomic prbitals at the time of overlap must have the same symmetry as well.
Bond arder is :

A

directly related to bond length

B

inversely related to bond length

C

incersely related to bond strength

D

never fractional.

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To solve the question regarding bond order and its relationship with bond length and bond strength, we will follow these steps: ### Step-by-Step Solution: 1. **Understanding Bond Order (B.O.):** - Bond order is defined as the difference between the number of bonding electrons (N_b) and the number of antibonding electrons (N_a), divided by two. The formula is given as: \[ \text{Bond Order (B.O.)} = \frac{1}{2}(N_b - N_a) \] 2. **Relationship Between Bond Order and Bond Length:** - Bond order is inversely related to bond length. This means that as the bond order increases, the bond length decreases. A higher bond order indicates a stronger bond, which typically results in shorter bond lengths. 3. **Relationship Between Bond Order and Bond Strength:** - Bond order is directly proportional to bond strength. This means that a higher bond order corresponds to a stronger bond. For example, a triple bond has a higher bond order (3) than a double bond (2), and is therefore stronger. 4. **Fractional Bond Order:** - It is important to note that bond order can be fractional. This occurs in cases where there are resonance structures or when dealing with certain molecular ions where the distribution of electrons does not lead to whole number bond orders. 5. **Conclusion:** - Based on the above relationships: - Bond order is inversely related to bond length. - Bond order is directly related to bond strength. - Bond order can be fractional. ### Final Answer: Given the options provided, the correct answer is: - **Bond order is inversely related to bond length.** (Option B)
To solve the question regarding bond order and its relationship with bond length and bond strength, we will follow these steps: ### Step-by-Step Solution: 1. **Understanding Bond Order (B.O.):** - Bond order is defined as the difference between the number of bonding electrons (N_b) and the number of antibonding electrons (N_a), divided by two. The formula is given as: \[ \text{Bond Order (B.O.)} = \frac{1}{2}(N_b - N_a) ...
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