Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Hybridization of Atomic Orbitals I03:24

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 II03:35

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization
Atomic Orbitals02:44

Atomic Orbitals

An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
Electron Orbital Model01:18

Electron Orbital Model

Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
The first shell is closest to the nucleus, and it has only one subshell with a single spherical orbital called the...
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

Overview of Molecular Orbital Theory
Electronic Structure of Atoms02:28

Electronic Structure of Atoms


An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum numbers:  n, l, ml, and...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Quantum Trajectory Separation and Attosecond Mapping in Liquid High-Harmonic Generation.

Physical review letters·2026
Same author

Understanding the density maximum of water with machine-learned potentials.

Science advances·2026
Same author

Combination of ivermectin and metformin promotes autophagy in MCF‑7 cells by inhibiting phosphorylation of the PI3K/AKT/mTOR pathway.

Oncology reports·2026
Same author

Ordered Ba<sub>2</sub>EuIrO<sub>6</sub> Double Perovskite With Active Ir─O<sub>bri</sub>─Eu Unit for Enhanced Electrocatalytic Oxygen Evolution in PEMWE.

Angewandte Chemie (International ed. in English)·2026
Same author

Real-Time Time-Dependent Density Functional Theory Simulations with Range-Separated Hybrid Functionals for Periodic Systems.

Journal of chemical theory and computation·2026
Same author

Establishment and characterization of primary canine mammary epithelial cells as a normal-like epithelial reference model.

Research in veterinary science·2026
Same journal

Interplay of Anisotropy, Dzyaloshinskii Moriya Interaction and Symmetry breaking Fields in a 2D XY Ferromagnet.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Single-molecule electron transport near a charge-trapping orbital-level alignment.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Δ<sub>T</sub>Noise as a Robust Diagnostic for Chiral, Helical and Trivial Edge Modes.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

A Quantum Framework for Negative Magnetoresistance in Multi-Weyl Semimetals.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Magnetic anisotropy and electronic structure in surface-supported single rare-earth atom magnets: a topical review.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same journal

Modeling thermal transport in AlN/GaN superlattices and heterostructures with machine-learned force fields.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
See all related articles

Related Experiment Video

Updated: May 30, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Electronic structure interpolation via atomic orbitals.

Mohan Chen1, G-C Guo, Lixin He

  • 1Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, 230026, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|July 29, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces optimized atomic orbitals for efficient and accurate electronic structure interpolation. This method achieves high precision, comparable to ab initio calculations, with improved transferability for various materials.

More Related Videos

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
13:56

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Published on: October 12, 2019

Related Experiment Videos

Last Updated: May 30, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
13:56

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Published on: October 12, 2019

Area of Science:

  • Condensed Matter Physics
  • Computational Materials Science
  • Quantum Chemistry

Background:

  • Accurate electronic structure calculations are crucial for materials science.
  • Traditional methods can be computationally expensive, especially for large systems or complex band structures.
  • Developing efficient interpolation schemes is key to accelerating materials discovery.

Purpose of the Study:

  • To present an efficient and accurate scheme for electronic structure interpolation.
  • To introduce systematically improvable optimized atomic orbitals.
  • To demonstrate the robustness and transferability of the proposed method.

Main Methods:

  • Generating optimized atomic orbitals by minimizing spillage between atomic basis and plane wave calculations.
  • Utilizing linear combination of atomic orbitals (LCAO) algorithms for band structure calculations.
  • Systematically varying the number of atomic orbitals per atom to assess accuracy.

Main Results:

  • Achieved accuracy of approximately 10 meV compared to ab initio calculations using 16-25 orbitals per atom.
  • Demonstrated systematic improvement in accuracy with an increased number of atomic orbitals.
  • Showcased the scheme's effectiveness for both metallic and complex band structure systems.

Conclusions:

  • The proposed method offers an efficient and accurate approach for electronic structure interpolation.
  • Optimized atomic orbitals exhibit superior transferability compared to existing basis sets.
  • This scheme facilitates faster and more reliable materials property predictions and perturbation calculations.