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Colloidal precipitates

The high insolubility of some precipitates can result in an unfavorable relative supersaturation. This can lead to colloidal particles with a large surface-to-mass ratio, where adsorption is promoted. For instance, in the precipitation of silver chloride, silver ions are adsorbed on the surface of the colloidal particles, forming a primary layer. This layer attracts ions of opposite charge (such as nitrate ions), forming a diffuse secondary layer of adsorbed ions. This electric double layer...
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Metallic Solids

Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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Related Experiment Video

Updated: Jun 21, 2026

PLGA Nanoparticles Formed by Single- or Double-emulsion with Vitamin E-TPGS
12:48

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Published on: December 27, 2013

All that glisters is not galled.

Francesc Rosselló1, Gabriel Valiente

  • 1Department of Mathematics and Computer Science, University of the Balearic Islands, Palma de Mallorca, Spain. cesc.rossello@uib.es

Mathematical Biosciences
|July 7, 2009
PubMed
Summary

This study clarifies the relationships between four definitions of galled trees, which are evolutionary networks with isolated reticulation cycles. It establishes connections between these distinct but related network structures.

Area of Science:

  • Graph theory
  • Computational biology
  • Evolutionary biology

Background:

  • Galled trees, a type of evolutionary network, have multiple definitions in scientific literature.
  • Understanding these definitions is crucial for accurately modeling evolutionary processes.

Purpose of the Study:

  • To establish the precise relationships between four key definitions of galled trees.
  • To unify the understanding of these network structures in evolutionary studies.

Main Methods:

  • Comparative analysis of network definitions.
  • Formal mathematical comparisons of structural properties.

Main Results:

  • The study identifies the precise equivalences and distinctions between original galled trees, level-1 networks, nested networks (depth 1), and evolutionary networks with arc-disjoint reticulation cycles.

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  • A clear framework for understanding these related network types is presented.
  • Conclusions:

    • The findings provide a unified perspective on galled trees and related network models.
    • This work facilitates more consistent and accurate applications of these models in evolutionary research.