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Related Concept Videos

Pole and System Stability01:24

Pole and System Stability

The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
Stability01:28

Stability

The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
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Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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Radical Reactivity: Steric Effects01:10

Radical Reactivity: Steric Effects

The presence of electron-donating, electron-withdrawing, or conjugating groups adjacent to a radical center, imparts electronic stabilization to the radicals. Examples of such electronically-stabilized radicals are triphenylmethyl, tetramethylpiperidine‐N‐oxide, and 2,2‐diphenyl‐1‐picrylhydrazyl. These radicals are remarkably stable and are known as persistent radicals. Some of the persistent radicals can even be isolated and purified.
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Nuclear Stability03:18

Nuclear Stability

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Combustion Energy: A Measure of Stability in Alkanes and Cycloalkanes

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Updated: May 31, 2026

Characterization of Electrode Materials for Lithium Ion and Sodium Ion Batteries Using Synchrotron Radiation Techniques
10:03

Characterization of Electrode Materials for Lithium Ion and Sodium Ion Batteries Using Synchrotron Radiation Techniques

Published on: November 11, 2013

Stabilizing carbon-lithium stars.

Nancy Perez-Peralta1, Maryel Contreras, William Tiznado

  • 1Department of Chemistry and Biochemistry, Utah State University, 0300 Old Main Hill, Logan, UT 84322-0300, USA. n.perez_peralta@aggiemail.usu.edu

Physical Chemistry Chemical Physics : PCCP
|June 21, 2011
PubMed
Summary
This summary is machine-generated.

Computational studies reveal stable structures for C(5)Li(n) clusters. The C(5)Li(7)(+) cluster forms a unique bicapped star, stabilized by electron delocalization and lithium atom saturation, exhibiting π-aromaticity.

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Area of Science:

  • Computational chemistry
  • Materials science
  • Quantum chemistry

Background:

  • Understanding the structure and stability of small carbon-lithium clusters is crucial for developing new materials.
  • Previous studies on silicon analogues suggest unique stabilization mechanisms.

Purpose of the Study:

  • To investigate the potential energy surfaces and stable structures of C(5)Li(n) clusters (n=5, 6, 7).
  • To elucidate the electronic and structural factors governing the stability of these clusters, particularly C(5)Li(7)(+).

Main Methods:

  • In silico exploration using the Gradient Embedded Genetic Algorithm (GEGA).
  • Computational strategies including molecular orbital analysis and magnetic field data computation.
  • Analysis of σ- and π-contributions to aromaticity.

Main Results:

  • Identified stable structures for C(5)Li(5)(-) and C(5)Li(6) involving linked carbon chains and a seven-membered ring capped by lithium atoms.
  • Determined the global minimum structure for C(5)Li(7)(+) as a bicapped star with D(5h) symmetry.
  • Electron delocalization and apical lithium saturation were found to stabilize the C(5)Li(7)(+) star structure, which is unstable without these caps.

Conclusions:

  • The stabilization of the C(5)Li(7)(+) cluster is attributed to electron delocalization and lithium atom saturation at apical positions.
  • C(5)Li(7)(+) exhibits π-aromaticity and σ-nonaromaticity, similar to its silicon analogues.
  • The findings provide insights into the unique bonding and stability of carbon-lithium clusters.