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When two atoms share electrons to complete their valence shells, they create a covalent bond. An atom's electronegativity—the force with which shared electrons are pulled towards an atom—determines how the electrons are shared. Molecules formed with covalent bonds can be either polar or nonpolar. Atoms with similar electronegativities form nonpolar covalent bonds; the electrons are shared equally. Atoms with different electronegativities share electrons unequally, creating polar bonds.

Covalent Bonds

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When two atoms share electrons to complete their valence shells they create a covalent bond. An atom’s electronegativity—the force with which shared electrons are pulled towards an atom—determines how the electrons are shared. Molecules formed with covalent bonds can be either polar or nonpolar. Atoms with similar electronegativities form nonpolar covalent bonds; the electrons are shared equally. Atoms with different electronegativities share electrons unequally, creating polar bonds.A Covalent...

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Covalent bond orders revisited: the open-shell case.

Diego R Alcoba¹, Roberto C Bochicchio, Luis Lain

¹Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina.

Physical Chemistry Chemical Physics : PCCP

|August 15, 2008

Summary

This summary is machine-generated.

This study introduces a new covalent bond order concept for open-shell systems. It uses density matrix invariance properties to define bond order within atomic orbital frameworks.

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Area of Science:

Quantum Chemistry
Computational Chemistry
Chemical Bonding Theory

Background:

Defining covalent bond order for open-shell systems is challenging.
Existing methods may not fully capture the complexity of multiplet states.
Accurate bond order is crucial for understanding chemical reactivity and molecular properties.

Purpose of the Study:

To establish a robust concept for covalent bond order in open-shell systems.
To develop a general bond order definition applicable to multiplet states.
To leverage reduced density matrices for a more accurate description of chemical bonds.

Main Methods:

Utilizing invariance properties of first- and second-order reduced density matrices.
Analyzing all components of a multiplet state.
Formulating the bond order definition within the electronic population analysis framework.
Operating in the Hilbert space of atomic orbitals.

Main Results:

A novel concept for covalent bond order in open-shell systems is presented.
The definition is derived from fundamental invariance properties of density matrices.
The approach accounts for the intricacies of multiplet states.
The formulation is integrated into the established electronic population analysis.

Conclusions:

The proposed covalent bond order concept provides a more accurate and generalizable method for open-shell systems.
This work enhances the understanding of chemical bonding in complex electronic configurations.
The developed definition offers a valuable tool for computational chemistry research.