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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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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.
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Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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Soft and Stiff Normal Modes in Floppy Colloidal Square Lattices.

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Researchers created a novel experimental system for floppy microscale spring networks using DNA-functionalized lipid bilayers. This system exhibits unique soft modes and shear stiffness dependent on lattice size, paving the way for reconfigurable colloidal materials.

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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Biophysics

Background:

  • Floppy spring networks are crucial in theoretical and simulation studies.
  • A well-controlled experimental system for these networks has been lacking.

Purpose of the Study:

  • To establish a controllable experimental model for microscale floppy spring networks.
  • To characterize the emergent properties and normal modes of these networks.

Main Methods:

  • Fabrication of square lattices using colloid-supported lipid bilayers with DNA linkers.
  • Extraction of normal modes via particle displacement correlation matrix inversion.
  • Comparison with Brownian particle simulations and theoretical modeling.

Main Results:

  • Demonstrated a functional microscale floppy spring network using lipid bilayers and DNA linkers.
  • Identified a spectrum of soft and stiff modes, with soft modes exhibiting low effective stiffness.
  • Observed that shear stiffness decreases with increasing lattice size.

Conclusions:

  • The experimental system accurately mimics theoretical floppy spring networks.
  • Entropic steric effects are critical in determining network behavior.
  • The findings enable the development of reconfigurable materials at the colloidal scale.