Molecular Orbitals

Molecular orbitals are regions of space formed by combining atomic orbitals, describing where electrons are most likely to be found in a molecule and how atoms bond. They arise when atomic orbitals of suitable energy and symmetry overlap, producing molecular orbitals that can be bonding, antibonding, or nonbonding; electrons occupy these orbitals according to energy, the Pauli exclusion principle, and Hund’s rule. Molecular orbital theory helps explain bond order, molecular stability, electron delocalization, magnetism, and electronic spectra. In chemistry, orbital diagrams and computational models use these principles to predict molecular structure, reactivity, and properties that simpler bonding models may not fully capture.

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JoVE Core - Chemistry

Molecular Orbital Theory II

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2020

Molecular Orbital Energy Diagrams The relative energy levels of atomic and molecular orbitals are typically shown in a molecular orbital diagram. For a diatomic molecule, the atomic orbitals of one atom are shown on the left, and those of the other atom are shown on the right. Each horizontal line represents one orbital that can hold two electrons. The molecular orbitals formed by the combination of the atomic orbitals are shown in the center. Dashed lines show which of the atomic orbitals...

Molecular Orbital Theory I

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2020

Overview of Molecular Orbital Theory Molecular orbital theory describes the distribution of electrons in molecules in the same way as the distribution of electrons in atoms is described using atomic orbitals. Quantum mechanics describes the behavior of an electron in a molecule by a wave function, Ψ, analogous to the behavior in an atom. Just like electrons around isolated atoms, electrons around atoms in molecules are limited to discrete (quantized) energies. The region of space in which a...

Molecular Orbital (MO) Theory

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2023

Source: Tamara M. Powers, Department of Chemistry, Texas A&M University This protocol serves as a guide in the synthesis of two metal complexes featuring the ligand 1,1'-bis(diphenylphosphino)ferrocene (dppf): M(dppf)Cl2, where M = Ni or Pd. While both of these transition metal complexes are 4-coordinate, they exhibit different geometries at the metal center. Using molecular orbital (MO) theory in conjunction with 1H NMR and Evans method, we will determine the geometry of these two...

π Molecular Orbitals of the Allyl Radical

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2025

Allyl radicals are three-carbon conjugated systems. They are readily formed as intermediates in halogenation reactions of alkenes involving the addition of halogen to the allylic carbon instead of the double bond. As seen in allyl cations and anions, each of the three sp2-hybridized carbon atoms in allyl radicals has an unhybridized p orbital. These orbitals combine to give three π molecular orbitals. The allyl systems have identical molecular orbitals but differ in the number of π electrons.

Structure of Benzene: Molecular Orbital Model

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2025

According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm). The carbon atoms also have an unhybridized 2p atomic orbital with one...

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