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

Wave Parameters01:10

Wave Parameters

7.7K
The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
7.7K
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

854
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
854
Standing Waves01:17

Standing Waves

4.4K
Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
4.4K
Propagation of Waves01:07

Propagation of Waves

2.3K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.3K
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

551
The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
551
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

2.9K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
2.9K

You might also read

Related Articles

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

Sort by
Same author

Radial gausslets.

The Journal of chemical physics·2026
Same author

Variational benchmarks for quantum many-body problems.

Science (New York, N.Y.)·2024
Same author

Coexistence of superconductivity with partially filled stripes in the Hubbard model.

Science (New York, N.Y.)·2024
Same author

Ground-state phase diagram of the <i>t-t</i>'<i>-J</i> model.

Proceedings of the National Academy of Sciences of the United States of America·2021
Same author

Stripe order in the underdoped region of the two-dimensional Hubbard model.

Science (New York, N.Y.)·2017
Same journal

The influence of chirality on the macroscopic behavior of multiferroic smectic phases.

The Journal of chemical physics·2026
Same journal

Polaron transformed canonically consistent quantum master equation.

The Journal of chemical physics·2026
Same journal

The x-ray absorption spectrum of the propargyl radical C3H3●.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. I. Conformer- and isomer-resolved infrared spectra.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. II. Isomer-resolved unimolecular dynamics.

The Journal of chemical physics·2026
Same journal

Quantum state-to-state dynamics studies of the C(3P) + OH(X2Π) → CO(a3Π) + H(2S) reaction based on a new HCO(12A″) potential energy surface.

The Journal of chemical physics·2026
See all related articles

Related Experiment Video

Updated: Jul 8, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180&#176; Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.7K

Nested gausslet basis sets.

Steven R White1, Michael J Lindsey2

  • 1Department of Physics and Astronomy, University of California, Irvine, California 92697-4575, USA.

The Journal of Chemical Physics
|December 18, 2023
PubMed
Summary
This summary is machine-generated.

We developed new gausslet bases for quantum chemistry calculations, improving accuracy for larger atoms. These bases enable faster, precise Hartree-Fock energy computations.

More Related Videos

Data Acquisition and Analysis In Brainstem Evoked Response Audiometry In Mice
08:51

Data Acquisition and Analysis In Brainstem Evoked Response Audiometry In Mice

Published on: May 10, 2019

11.7K
Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
09:02

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Published on: January 31, 2025

490

Related Experiment Videos

Last Updated: Jul 8, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180&#176; Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.7K
Data Acquisition and Analysis In Brainstem Evoked Response Audiometry In Mice
08:51

Data Acquisition and Analysis In Brainstem Evoked Response Audiometry In Mice

Published on: May 10, 2019

11.7K
Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
09:02

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Published on: January 31, 2025

490

Area of Science:

  • Quantum Chemistry
  • Computational Physics

Background:

  • Gausslet bases are computational tools for quantum mechanical systems.
  • Existing bases have limitations in treating atoms with high atomic numbers.

Purpose of the Study:

  • To introduce advanced gausslet bases for improved quantum chemical calculations.
  • To enable accurate treatment of larger atomic systems and efficient Hamiltonian integral computation.

Main Methods:

  • Development of nested and pure Gaussian distorted gausslet bases.
  • Utilizing the diagonal approximation for electron-electron interactions.
  • Mathematical analysis of one-dimensional diagonal bases and their properties.

Main Results:

  • New bases handle larger atomic numbers effectively.
  • Analytical computation of Hamiltonian integrals is now possible.
  • Achieved high accuracy (2 × 10-5 Ha) for neon atom Hartree-Fock energy.

Conclusions:

  • The novel gausslet bases significantly advance computational efficiency and accuracy.
  • New mathematical insights into basis set construction were established.
  • These methods provide a pathway for precise calculations in quantum chemistry.