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

Application of Linearization and Approximation01:29

Application of Linearization and Approximation

87
A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
87
Linearization and Approximation01:26

Linearization and Approximation

51
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
51
Gas Exchange and Transport01:20

Gas Exchange and Transport

76.6K
Gas exchange, the intake of molecular oxygen (O2) from the environment and the outflow of carbon dioxide (CO2) into the environment, is necessary for cellular function. Gas exchange during respiration occurs largely via the movement of gas molecules along pressure gradients. Gas travels from areas of higher partial pressure to areas of lower partial pressure. In mammals, gas exchange occurs in the alveoli of the lungs, which are adjacent to capillaries and share a membrane with them.
76.6K
What is an Electrochemical Gradient?01:26

What is an Electrochemical Gradient?

127.5K
Adenosine triphosphate, or ATP, is considered the primary energy source in cells. However, energy can also be stored in the electrochemical gradient of an ion across the plasma membrane, which is determined by two factors: its chemical and electrical gradients.
The chemical gradient relies on differences in the abundance of a substance on the outside versus the inside of a cell and flows from areas of high to low ion concentration. In contrast, the electrical gradient revolves around an...
127.5K
Generalized Hooke's Law01:22

Generalized Hooke's Law

2.7K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
2.7K
Generalized Anxiety Disorder01:30

Generalized Anxiety Disorder

673
Generalized Anxiety Disorder (GAD) is a chronic condition characterized by excessive and uncontrollable worry that persists for at least six months, significantly interfering with daily functioning. Unlike situational anxiety, which arises in response to specific stressors, GAD often occurs without a clear cause. Individuals may experience disproportionate worry about work, health, or relationships. For instance, a person might continuously fear poor health despite normal medical evaluations or...
673

You might also read

Related Articles

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

Sort by
Same author

Surface-Driven Electron Localization and Defect Heterogeneity in Ceria.

Journal of the American Chemical Society·2025
Same author

Double crossed? Structural and computational studies of an unusually crosslinked haem in <i>Methylococcus capsulatus</i> cytochrome P460.

Chemical science·2025
Same author

Classical Reaction Barriers in DFT: An Adiabatic-Connection Perspective.

Journal of chemical theory and computation·2024
Same author

On the Topological Phase around Conical Intersections with Tamm-Dancoff Linear-Response Time-Dependent Density Functional Theory.

The journal of physical chemistry. A·2024
Same author

Environment-Driven Variability in Absolute Band Edge Positions and Work Functions of Reduced Ceria.

Journal of the American Chemical Society·2024
Same author

Effective homogeneity of Fermi-Amaldi-containing exchange-correlation functionals.

The Journal of chemical physics·2023
Same journal

Anharmonic phonons via quantum thermal bath simulations.

The Journal of chemical physics·2026
Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026
Same journal

Non-additive ion effects on the coil-globule equilibrium of a generic polymer in aqueous salt solutions.

The Journal of chemical physics·2026
Same journal

Insights into the unexpected small reduction of the temperature of maximum density of water by lithium chloride addition.

The Journal of chemical physics·2026
Same journal

Optical frequency comb double-resonance spectroscopy of the 9030-9175 cm-1 states of ethylene.

The Journal of chemical physics·2026
Same journal

Time reversal breaking of colloidal particles in cells.

The Journal of chemical physics·2026
See all related articles

Related Experiment Videos

A semiempirical generalized gradient approximation exchange-correlation functional.

Thomas W Keal1, David J Tozer

  • 1Department of Chemistry, University of Durham, South Road, Durham, DH1 3LE United Kingdom.

The Journal of Chemical Physics
|September 16, 2004
PubMed
Summary
This summary is machine-generated.

A new generalized gradient approximation (GGA) functional, KT3, enhances accuracy for nuclear magnetic resonance shielding constants and other molecular properties. This improved functional offers performance comparable to or better than existing GGAs and hybrid functionals for many chemical calculations.

Related Experiment Videos

Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Generalized gradient approximation (GGA) functionals are crucial for electronic structure calculations.
  • Existing GGA functionals like KT1 and KT2 show promise but require further refinement.
  • Accurate prediction of molecular properties is essential for various chemical applications.

Purpose of the Study:

  • To develop an improved GGA exchange-correlation functional, denoted KT3.
  • To enhance the accuracy of nuclear magnetic resonance (NMR) shielding constants.
  • To evaluate the performance of KT3 across a range of chemical properties.

Main Methods:

  • Introduction of additional gradient-corrected exchange and correlation terms into GGA functionals.
  • Development of the KT3 functional based on the KT1 and KT2 framework.
  • Systematic testing of KT3 against experimental data and other theoretical methods.

Main Results:

  • KT3 maintains high accuracy for main-group NMR shielding constants, outperforming conventional GGA and hybrid functionals by 2-3 times.
  • KT3 provides atomization energies, ionization potentials, electron affinities, proton affinities, bond angles, and electronic polarizabilities comparable to or exceeding state-of-the-art GGAs.
  • Equilibrium molecular bond lengths and harmonic vibrational wave numbers calculated with KT3 are as accurate as those from leading hybrid functionals.

Conclusions:

  • The KT3 functional represents a significant advancement in GGA methodology.
  • KT3 offers a robust and accurate tool for a wide array of chemical property predictions.
  • Further research is needed to address the description of classical chemical reaction barriers with KT3.