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Valence Bond Theory

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...

Colors and Magnetism

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Color in Coordination Complexes
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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...

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A type of Lewis acid-base chemistry involves the formation of a complex ion (or a coordination complex) comprising a central atom, typically a transition metal cation, surrounded by ions or molecules called ligands. These ligands can be neutral molecules like H2O or NH3, or ions such as CN− or OH−. Often, the ligands act as Lewis bases, donating a pair of electrons to the central atom. These types of Lewis acid-base reactions are examples of a broad subdiscipline called coordination...

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Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping

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Singly ionized double-donor complex in vertically coupled quantum dots.

Ramón Manjarres-García¹, Gene Elizabeth Escorcia-Salas, Ilia D Mikhailov

¹Group of Investigation in Condensed Matter Theory, Universidad del Magdalena, Santa Marta, Colombia. jsierraortega@gmail.com.

Nanoscale Research Letters

|September 4, 2012

Summary

This study calculates electronic states for a double-donor complex in coupled quantum dots. Results show how quantum dot shape and magnetic fields influence artificial molecule states.

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Area of Science:

Quantum physics
Condensed matter physics
Materials science

Background:

Understanding electronic properties of confined systems is crucial for quantum technologies.
Quantum dots offer tunable electronic properties based on their size and shape.
Donor complexes in quantum dots are building blocks for advanced electronic devices.

Purpose of the Study:

To investigate the electronic states of a singly ionized on-axis double-donor complex (D2+) in vertically coupled quantum dots.
To analyze the influence of quantum dot morphology, dimensions, separation, wetting layer thickness, and magnetic field on these states.

Main Methods:

Solving the Schrödinger equation using variational separation of variables.
Employing the adiabatic limit approximation for calculations.
Numerical analysis of bonding and antibonding artificial molecule states.

Main Results:

Calculated lowest-lying bonding and antibonding states for the D2+ complex.
Demonstrated dependence of electronic states on quantum dot geometry and coupling.
Showcased the impact of external magnetic field strength on energy levels.

Conclusions:

The electronic structure of the D2+ complex is sensitive to quantum dot parameters and magnetic fields.
This work provides insights into designing artificial molecules for spintronics and quantum computing.
The findings are relevant for fabricating and controlling quantum dot-based devices.