No, lone pairs are not sigma bonds.
Lone pairs are pairs of valence electrons that are not shared with other atoms in a covalent bond. Sigma (σ) bonds, on the other hand, are covalent bonds formed by the direct, end-to-end overlap of atomic orbitals.
Key Differences:
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Bonding Status: Lone pairs are nonbonding electrons, meaning they are not involved in forming a bond between two atoms. Sigma bonds are bonding electrons, actively holding atoms together.
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Orbital Overlap: Sigma bonds result from the head-on overlap of atomic orbitals. Lone pairs reside in atomic orbitals that are not participating in this type of overlap.
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Contribution to Molecular Shape: While lone pairs don't directly form bonds, they do influence the molecular geometry through their repulsive forces on bonding pairs of electrons, as explained by Valence Shell Electron Pair Repulsion (VSEPR) theory.
Analogy
Think of it this way: Sigma bonds are like the physical ropes tying two posts (atoms) together. Lone pairs are like free-floating ropes lying on the ground, near one post. They are not connected to the other post, so they aren't forming a tie or bond.
In Summary
Lone pairs are nonbonding valence electrons, while sigma bonds are covalent bonds formed by the direct overlap of atomic orbitals. They are fundamentally different.