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Related Concept Videos

Cartesian Vector Notation01:28

Cartesian Vector Notation

Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...
Direction Cosines of a Vector01:29

Direction Cosines of a Vector

Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of vector calculus. Consider vector A that is expressed in terms of the Cartesian vector form using i, j, and k unit vectors. The magnitude of vector A is defined as the square root of the sum of the squares of its components. The direction of this vector with respect to the x, y, and z axes is defined by the coordinate direction angles α, β, and γ,...
Cartesian Form for Vector Formulation01:26

Cartesian Form for Vector Formulation

The Cartesian form for vector formulation is a process to calculate  the moment of force using the position and force vectors. The moment of force is defined as the cross-product of these vectors, making it a vector quantity. The Cartesian form of the position and force vectors involves unit vectors, which can be used to express the cross-product in determinant form.
Phasor Arithmetics01:13

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
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Kirchoff's Laws using Phasors01:12

Kirchoff's Laws using Phasors

Analyzing AC circuits in electrical systems is a fundamental aspect of electrical engineering. In these circuits, AC power is supplied from a distribution panel and wired to various household appliances in parallel. To perform a comprehensive analysis, electrical engineers use Kirchhoff's voltage and current laws, which are equally applicable in AC circuits as in DC circuits.
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Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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Related Experiment Video

Updated: Jul 20, 2026

2D and 3D Matrices to Study Linear Invadosome Formation and Activity
12:25

2D and 3D Matrices to Study Linear Invadosome Formation and Activity

Published on: June 2, 2017

HXeCCH in Ar and Kr matrices.

Hanna Tanskanen1, Leonid Khriachtchev, Jan Lundell

  • 1Department of Chemistry, University of Helsinki, P.O. Box 55, Helsinki FIN-00014, Finland. hanna.tanskanen@helsinki.fi

The Journal of Chemical Physics
|September 1, 2006
PubMed
Summary

The study prepared and analyzed the HXeCCH molecule in argon (Ar) and krypton (Kr) matrices. Researchers observed blueshifted H-Xe stretching absorption, indicating a stabilized H-Xe bond in these new environments.

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Last Updated: Jul 20, 2026

2D and 3D Matrices to Study Linear Invadosome Formation and Activity
12:25

2D and 3D Matrices to Study Linear Invadosome Formation and Activity

Published on: June 2, 2017

Area of Science:

  • Physical Chemistry
  • Spectroscopy
  • Computational Chemistry

Background:

  • The HXeCCH molecule is a rare gas compound studied for its unique chemical bonding.
  • Previous studies primarily focused on HXeCCH within xenon (Xe) matrices.

Purpose of the Study:

  • To investigate the preparation and spectroscopic characterization of the HXeCCH molecule in argon (Ar) and krypton (Kr) matrices.
  • To analyze the influence of different noble gas matrices on the H-Xe bond stability and spectroscopic properties.

Main Methods:

  • Infrared (IR) absorption spectroscopy was employed to characterize HXeCCH in Ar and Kr matrices.
  • Ab initio calculations were performed for 1:1 HXeCCH-Ng complexes (Ng = Ar, Kr, Xe) to model host-guest interactions.

Main Results:

  • HXeCCH was successfully synthesized and detected in Ar and Kr matrices, expanding beyond Xe environments.
  • The H-Xe stretching absorption band exhibited a blueshift in Ar (+44.9 cm⁻¹) and Kr (+32.3 cm⁻¹) compared to Xe, signifying H-Xe bond stabilization.
  • A doublet absorption for H-Xe stretching was observed in all matrices, with splitting increasing from Xe (5.7 cm⁻¹) to Kr (13 cm⁻¹) and Ar (14 cm⁻¹).
  • Ab initio calculations supported a matrix-site model for band splitting due to specific molecule-atom interactions but could not fully explain the observed blueshifts.

Conclusions:

  • The HXeCCH molecule can be stabilized in non-polarizable Ar and Kr matrices, not just in Xe.
  • The observed blueshifts and band splitting provide insights into the stabilization of the H-Xe bond and matrix-site effects.
  • Further computational studies are required to fully elucidate the environmental effects on HXeCCH spectroscopy.