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The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...

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Hybridization of Atomic Orbitals I

Hybridization of Atomic Orbitals I

The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...

Hybridization of Atomic Orbitals II

Hybridization of Atomic Orbitals II

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Quantum Numbers

Quantum Numbers

It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.

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Updated: Jun 6, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Towards quantum chemistry on a quantum computer.

B P Lanyon¹, J D Whitfield, G G Gillett

¹Department of Physics, University of Queensland, Brisbane 4072, Australia. lanyon@physics.uq.edu.au

Nature Chemistry

|December 3, 2010

Summary

This summary is machine-generated.

Quantum computing offers a solution to intractable molecular property calculations. Photonic quantum computers successfully calculated the hydrogen molecule

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Last Updated: Jun 6, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

Quantum Chemistry
Computational Chemistry
Quantum Computing

Background:

Exact first-principles calculations are computationally expensive, limiting molecular property analysis.
Computational cost scales exponentially with atom count and basis set size.
Quantum computers offer a novel approach to overcome these limitations.

Purpose of the Study:

To apply photonic quantum computer technology to molecular property calculations.
To demonstrate the feasibility of quantum computing for quantum-chemical applications.
To address the limitations of classical supercomputers in chemical problem-solving.

Main Methods:

Utilized the latest photonic quantum computer technology.
Performed calculations on the smallest molecular system: the hydrogen molecule.
Employed a minimal basis set for the calculations.

Main Results:

Successfully calculated the complete energy spectrum of the hydrogen molecule.
Achieved high precision (20 bits) in the energy spectrum calculation.
Demonstrated the potential for scaling the technique to larger chemical systems.

Conclusions:

Photonic quantum computing is a viable tool for quantum-chemical applications.
This approach represents a significant step towards solving complex chemical problems.
The technology has broad potential for future quantum-chemical research and applications.