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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
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A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
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Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
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Measuring the Spin-Lattice Relaxation Magnetic Field Dependence of Hyperpolarized [1-13C]pyruvate
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Generation of orthogonal lattice fields.

Sushanta Kumar Pal, P Senthilkumaran

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |May 3, 2019
    PubMed
    Summary

    Researchers developed a new interference method to create orthogonal polarization singularity lattice fields. This technique replaces each singularity with its orthogonal state, enabling novel field generation.

    Area of Science:

    • Optics and Photonics
    • Light Polarization
    • Singularity Physics

    Background:

    • Orthogonal polarization singularities are a recent advancement in optical physics.
    • Existing methods for generating orthogonal fields for V-points and C-points singularities require complex optical setups.
    • Some interference-generated polarization singularity lattices contain orthogonal C-points but lack orthogonal V-points.

    Purpose of the Study:

    • To present an interference method for generating orthogonal polarization singularity lattice fields.
    • To demonstrate the replacement of individual polarization singularities with their orthogonal states.
    • To explore the creation of new lattice fields through superposition.

    Main Methods:

    • Utilizing an interference technique to generate polarization singularity lattice fields.

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  • Implementing a method to replace existing polarization singularities with their orthogonal counterparts.
  • Superposing orthogonal and non-orthogonal lattice fields.

    • Main Results:

    • Successfully generated orthogonal lattice fields where each polarization singularity is replaced by its orthogonal state.
    • Demonstrated the feasibility of creating novel polarization singularity lattice fields.
    • Showcased the potential for generating complex optical field structures.

    Conclusions:

    • The proposed interference method provides a viable route to generate comprehensive orthogonal polarization singularity lattice fields.
    • This work expands the toolkit for creating structured light fields with tailored polarization properties.
    • Further research can explore the applications of these novel fields in various scientific domains.