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

Exceptions to the Octet Rule02:55

Exceptions to the Octet Rule

36.1K
Many covalent molecules have central atoms that do not have eight electrons in their Lewis structures. These molecules fall into three categories:
36.1K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

201
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
201
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

445
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
445
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

337
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
337
Assembly of Cytoskeletal Filaments01:18

Assembly of Cytoskeletal Filaments

26.2K
Cytoskeletal filaments are polymeric forms of smaller protein subunits. However, individual cytoskeletal filaments may easily disassemble or associate with other similar filaments to form rigid structures. Microfilaments, made of actin monomers, rely on actin-binding proteins to form bundles and create networks of individual actin filaments. Microtubules rely on microtubule-associated proteins (MAPs) to form sturdy cylindrical structures. However, the proteins involved in forming complex...
26.2K
Assembly of Complex Microtubule Structures01:32

Assembly of Complex Microtubule Structures

2.3K
Complex microtubule structures are present in resting cells and in dividing cells. In resting cells, they are responsible for maintaining the cellular architecture, tracks for intracellular transport, positioning of organelles, assembly of cilia and flagella. They mediate the bipolar spindle assembly for chromosomal segregation and positioning of the cell division plate in dividing cells. The formation of microtubule complex structures depends on the cell type, cell stage, and cell function.
2.3K

You might also read

Related Articles

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

Sort by
Same author

Novel molecular hybrid geometric-harmonic-Zagreb degree based descriptors and their efficacy in QSPR studies of polycyclic aromatic hydrocarbons.

SAR and QSAR in environmental research·2023
Same author

Topological Characterization and Graph Entropies of Tessellations of Kekulene Structures: Existence of Isentropic Structures and Applications to Thermochemistry, Nuclear Magnetic Resonance, and Electron Spin Resonance.

The journal of physical chemistry. A·2021
Same author

Combinatorics of Supergiant Fullerenes: Enumeration of Polysubstituted Isomers, Chirality, Nuclear Magnetic Resonance, Electron Spin Resonance Patterns, and Vibrational Modes from C<sub>70</sub> to C<sub>150000</sub>.

The journal of physical chemistry. A·2020
Same author

Computations of Colorings 7D-Hypercube's Hyperplanes for All Irreducible Representations.

Journal of computational chemistry·2019

Related Experiment Video

Updated: Dec 10, 2025

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

Published on: February 15, 2016

8.4K

Nonrigid water octamer: Computations with the 8-cube.

Krishnan Balasubramanian1

  • 1School of Molecular Sciences, Arizona State University, Tempe, Arizona, USA.

Journal of Computational Chemistry
|September 4, 2020
PubMed
Summary

This study models the nonrigid water octamer using advanced group theory and computational methods. It calculates tunneling splittings and nuclear spin statistics for water octamer isomers, revealing insights into their molecular dynamics.

More Related Videos

Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles
10:23

Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles

Published on: May 8, 2015

12.0K
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

8.6K

Related Experiment Videos

Last Updated: Dec 10, 2025

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

Published on: February 15, 2016

8.4K
Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles
10:23

Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles

Published on: May 8, 2015

12.0K
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

8.6K

Area of Science:

  • Quantum Chemistry
  • Molecular Spectroscopy
  • Computational Physics

Background:

  • Water clusters are fundamental to understanding hydrogen bonding and solvation.
  • The nonrigid nature of water clusters, particularly the octamer, presents complex dynamic behavior.
  • Investigating molecular symmetry and group theory is crucial for interpreting spectral data.

Purpose of the Study:

  • To develop a comprehensive model for the fully nonrigid water octamer.
  • To compute tunneling splittings and nuclear spin statistics for different water octamer isomers.
  • To explore the relationship between molecular symmetry, group theory, and spectral properties.

Main Methods:

  • Utilized an 8-dimensional hyperoctahedral wreath product group for modeling.
  • Employed computational and mathematical techniques, including matrix polynomial generating functions and Möbius inversion.
  • Applied induced representation techniques and multinomial generating functions.

Main Results:

  • Computed correlation tables and nuclear spin statistics for D2d and S4 symmetric water octamer isomers.
  • Calculated tunneling splittings of rotational and rovibronic levels.
  • Determined spin statistical weights for semirigid and nonrigid water octamers.

Conclusions:

  • The study provides a detailed theoretical framework for analyzing the dynamics of water octamers.
  • Computational methods reveal intricate relationships between symmetry, tunneling, and spin statistics.
  • Findings contribute to a deeper understanding of water cluster behavior and spectroscopy.