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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
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Trends in Lattice Energy: Ion Size and Charge02:54

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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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Bewley Lattice Diagram01:12

Bewley Lattice Diagram

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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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5-Number Summary

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In a dataset, the 5-number summary includes the minimum data value, the data value of the first quartile, the median data value or data value of the second quartile, the data value of the third quartile, and the maximum data value. These 5 data values can be visualized as a box and whisker plot.
In a box plot, the minimum and maximum data values represent the lower and upper whiskers in the graph, and the median is designated as the center of the box in the chart. The first quartile and third...
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meta-Directing Deactivators: –NO2, –CN, –CHO, –⁠CO2R, –COR, –CO2H01:13

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All meta-directing substituents are deactivating groups. These substituents withdraw electrons from the aromatic ring, making the ring less reactive toward electrophilic substitution. For example, the nitration of nitrobenzene is 100,000 times slower than that of benzene because of the deactivating effect of the nitro group. The first step in an electrophilic aromatic substitution is the addition of an electrophile to form a resonance-stabilized carbocation. The energy diagrams for...
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Secondary amines react with nitrous acid to form N-nitrosamines, as depicted in Figure 1. Nitrous acid, a weak and unstable acid, is formed in situ from an aqueous solution of sodium nitrite and strong acids, such as hydrochloric acid or sulfuric acid, in cold conditions. In the presence of an acid, the nitrous acid gets protonated. The subsequent loss of water results in the formation of the electrophile known as nitrosonium ion.
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CsFe3(SeO3)2F6 with S = 5/2 Cube Tile Lattice.

Hongcheng Lu1, Hiroshi Kageyama1,2

  • 1Graduate School of Engineering , Kyoto University , Kyoto 615-8510 , Japan.

Inorganic Chemistry
|May 10, 2018
PubMed
Summary

Researchers synthesized a novel iron selenite fluoride, CsFe3(SeO3)2F6, revealing a unique magnetic structure. This compound exhibits an antiferromagnetic transition and a field-induced ferrimagnetic state with a distinct magnetization plateau.

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Area of Science:

  • Solid State Chemistry
  • Materials Science
  • Magnetism

Background:

  • Layered iron compounds are of interest for their unique magnetic properties.
  • Understanding structure-property relationships in novel inorganic materials is crucial for developing new functional materials.

Purpose of the Study:

  • To synthesize and characterize a new layered iron selenite fluoride, CsFe3(SeO3)2F6.
  • To investigate the magnetic properties and structural characteristics of this novel compound.

Main Methods:

  • Hydrothermal synthesis for crystal growth.
  • Single-crystal X-ray diffraction for structural determination.
  • Magnetic susceptibility measurements to probe magnetic transitions.

Main Results:

  • CsFe3(SeO3)2F6 crystallizes in a trigonal P3̅m1 lattice with layered [Fe3(SeO3)2F6]- blocks separated by Cs cations.
  • The crystal structure features Fe(2)F6 and Fe(1)O3F3 octahedra connected via Fe-F-Fe superexchange pathways, forming an S=5/2 cube tile lattice.
  • An antiferromagnetic transition was observed at ~130 K, with ferrimagnetic cube tile layers arranged in a staggered manner.
  • A field-induced transition to a ferrimagnetic state with a one-third magnetization plateau was observed at low temperatures.

Conclusions:

  • The synthesized CsFe3(SeO3)2F6 exhibits complex magnetic behavior driven by its unique layered structure.
  • The compound shows potential for applications in areas requiring tunable magnetic properties.