In traditional hybridisation theory, the hybrid orbitals are all equivalent.
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Second, the hybrid orbitals must be orthogonal to each other.
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If two hybrid orbitals were not orthogonal, by definition they would have nonzero orbital overlap.
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Orthogonality must be established so that the two hybrid orbitals can be involved in separate covalent bonds.
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For example, in a tetrahedral configuration the s and p 3 orbitals combine to produce four hybrid orbitals.
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Here's some more images of atomic and hybrid orbitals from the " Nature " news blog.
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Similarly to form six bonds, the six sp 3 d 2 hybrid orbitals form six bonds with 12 shared electrons.
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By directing hybrid orbitals of more p character towards the fluorine, the energy of that bond is not increased very much.
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The ground state is believed to be a bent triplet, with two orthogonal sp hybrid orbitals singly occupied by unpaired spins.
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One problem in designing large hybrid orbital rockets is that turbopumps become necessary to achieve high flow rates and pressurization of the oxidizer.
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