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Related Concept Videos

Lattice Energies of Ionic Crystals01:27

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization
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...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...

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Updated: Jun 23, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

UKQCD software for lattice quantum chromodynamics.

P A Boyle1, R D Kenway, C M Maynard

  • 1SUPA, University of Edinburgh, Edinburgh EH9 3JZ, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|May 20, 2009
PubMed
Summary
This summary is machine-generated.

UKQCD, a UK university collaboration, performs lattice quantum chromodynamics (QCD) calculations. They develop and optimize software for diverse computing architectures to advance the understanding of the strong nuclear interaction.

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Last Updated: Jun 23, 2026

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Nuclear Physics

Background:

  • Quantum Chromodynamics (QCD) describes the strong nuclear force, binding quarks and gluons into protons and neutrons.
  • Understanding the strong interaction is crucial for nuclear structure and atomic nuclei.
  • Lattice QCD calculations require significant computational resources and specialized software.

Purpose of the Study:

  • To explain the utilization and development of software within the UKQCD collaboration.
  • To detail the creation and application of performance-critical kernels for various computing architectures.
  • To highlight UKQCD's internal and external collaborative efforts, including with the US SciDAC community.

Main Methods:

  • Development and optimization of lattice QCD software.
  • Implementation of performance-critical kernels for diverse architectures (e.g., quantum chromodynamics-on-a-chip, BlueGene, XT4).
  • Resource pooling and collaborative efforts among eight UK universities.

Main Results:

  • Efficient execution of lattice QCD calculations on advanced computing platforms.
  • Development of specialized software and kernels tailored for high-performance computing.
  • Successful collaboration fostering resource sharing and scientific advancement.

Conclusions:

  • The UKQCD collaboration effectively leverages shared resources and expertise for lattice QCD.
  • Software development and optimization are key to advancing research on diverse computational architectures.
  • Collaboration is essential for tackling complex challenges in quantum chromodynamics.