Linus pauling, showed mathematically one s orbital and three p orbitals on atom to combine hybrized, to form 4 equivalent atomic orbitals with tedrahedral orientation, this oriented orbitals called Sp³ hybridized. The superscript three in the name sp³ how many each types of atomic orbitals combine to form the hybrid, not how many electrons occupied it.
four sp³ hybrids orbitals corner of a tedrahedron formed by combination of s orbitals and 3 p orbitals. The sp³ hybrids has two lobes and unsymmetrical nucleus giving them directly and allows them forms strong bonds when they overlapping orbitals from another atoms.
This hybridization explains carbon forms 4 equivalent tetrahedral bonds. The shapes of the hybrid orbitals suggests the answer, when S orbital hybridized with 3 P orbitals, the results of sp³ hybrid orbitals unsymmetrical about that nucleus. One of the 2 lobes is bigger than the other, the overlap more effectively with orbitals from another atom to form a bond. As results sp³ hybrids orbitals from stronger bonds than unhybridized s or p orbitals.
This asymmetry of orbitals 2 lobes of p orbitals have different type of algebraic signs, + and - in the wave function. When a p orbitals hybrized with s orbital, the positive p lobs adds to the s orbitals but negative p lobes subtract from the s orbitals. The positively p lobes adds to the s orbital but negative p lobe subtract from the s orbitals. This orbitals unsymmetrical nucleus and strongly oriented in only one direction.
When four identical sp³ hybrids orbitals of a carbon atom overlapping with 1s orbitals of the hydrogen atom. The 4 identically C-H bonds are formed and methane results. Each C-H bonds in methane have strength 439kj/mol and length of 109pm. The four bonds has a specific geometry, can define a property called bond angle. The angle formed by each H-C-H bond is 109.5⁰, this is called tetrahedral angle. CH4 has structure below.
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