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Related Concept Videos

Ionic Crystal Structures02:42

Ionic Crystal Structures

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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
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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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Valence Bond Theory02:42

Valence Bond Theory

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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Ferromagnetism01:31

Ferromagnetism

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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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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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Updated: Jan 16, 2026

Bulk and Thin Film Synthesis of Compositionally Variant Entropy-stabilized Oxides
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Bulk and Thin Film Synthesis of Compositionally Variant Entropy-stabilized Oxides

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Dynamic Structure Evolution under Invariant Lattice Framework in Fluorite-Type Ferroelectrics.

Yunzhe Zheng1, Heng Yu2, Tianjiao Xin1,3

  • 1Key Laboratory of Polar Materials and Devices (MOE), Department of Electronics, East China Normal University, Shanghai 200241, China.

Nano Letters
|October 1, 2025
PubMed
Summary
This summary is machine-generated.

Understanding HfO2-based ferroelectric device structure evolution is key for memory applications. This study reveals atomic-scale phase transformations under electric fields, guiding future ferroelectric memory design.

Keywords:
ferroelectricityhafnium zirconium oxidein situ transmission electron microscopestructure evolution

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Area of Science:

  • Materials Science
  • Solid State Physics
  • Nanotechnology

Background:

  • Designing HfO2-based ferroelectric (FE) devices for data encoding and storage requires understanding structure evolution dynamics.
  • Experimental evidence on these dynamics is currently limited, hindering device optimization.

Purpose of the Study:

  • To elucidate the atomic-scale domain structure evolution in TiN/Hf0.5Zr0.5O2/TiN ferroelectric capacitors under electrical biasing.
  • To provide direct experimental evidence and theoretical insights into the phase transformation mechanisms.

Main Methods:

  • Utilized *in situ* electrical biasing directly on TiN/Hf0.5Zr0.5O2/TiN ferroelectric capacitors.
  • Combined experimental observations with theoretical calculations to analyze atomic-scale structure.
  • Investigated domain structure evolution under varying electric fields.

Main Results:

  • Revealed atomic-scale domain structure evolution via a transient polar orthorhombic (O)-*Pmn*21-like configuration.
  • Demonstrated the transformation of the antipolar O-*Pbca* phase to the FE O-*Pbc*21 phase under electric fields.
  • Observed ferroelastic alignment of the polar axis with the bias direction, enhancing FE polarization, followed by collapse and degradation at higher biases.

Conclusions:

  • The lattice framework remains intact during domain structure evolution.
  • Insights into electric field-induced structure evolution facilitate optimization strategies for HfO2-based FE memory devices.
  • Understanding phase transitions is crucial for developing robust ferroelectric memory technologies.