Combination of Atomic Orbitals to Form Molecular Orbitals
Combination of Atomic Orbitals to Form Molecular Orbitals and Comparison between VB and MO theories - Organic Chemistry
ChemistryExplain “Combination of Atomic Orbitals to Form Molecular Orbitals” Organic Chemistry, Organic chemistry online course, Acs organic chemistry, Organic chemistry jobs(i) Combination of s-orbitals :
Combin~tion of p-orbitals :
(i) Combination of two p-orbitals
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(ii) Combination of two pz-atomic orbitals
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- ChemistryExplainComparison between VB and MO theories
(A) Similarities between VB and MO theories:
(i) They account for the directional nature of the bond.(ii) Bond results by the overlapping of two orbitals of minimum energy.
(iii) Electronic charge persists in between two atomic nuclei in bond formation.
(iv) Atomic orbitals should be of same energy, should overlap and should have same symmetry.
(B) Dissimilarities between VB and MO theories :![ChemistryExplain “Molecular Orbital Theory in Localized Chemical Bonding” Organic Chemistry, Organic chemistry online course, Acs organic chemistry, Organic chemistry jobs ChemistryExplain “Molecular Orbital Theory in Localized Chemical Bonding” Organic Chemistry, Organic chemistry online course, Acs organic chemistry, Organic chemistry jobs](data:image/png;base64,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)
Labels: Atomic Orbitals to Form Molecular Orbitals, Localized Chemical Bonding, Organic Chemistry, Organic Chemistry Notes
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