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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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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.
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Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
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Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
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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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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
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Flexible machine-learning interatomic potential for simulating structural disordering behavior of Li7La3Zr2O12 solid

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Energy Storage

Background:

  • Solid-state electrolytes, such as lithium lanthanum zirconium oxide (LLZO), offer enhanced safety and energy density for batteries.
  • Atomic disorder at interfaces in LLZO significantly degrades battery performance.
  • Machine-learning (ML) interatomic potentials can simulate complex interfaces with high accuracy and scalability.

Purpose of the Study:

  • To develop and validate a machine-learning interatomic potential for simulating crystalline, disordered, and amorphous LLZO.
  • To enable accurate modeling of atomic disorder and its impact on LLZO properties and performance.
  • To accelerate simulations of complex phenomena in solid-state battery materials.

Main Methods:

  • Construction of a neural network-based ML potential trained on ab initio data.
  • Validation of the ML potential against ab initio simulations for structural, vibrational, elastic, and transport properties.
  • Application of the ML potential to simulate grain boundary effects and thermal transitions in LLZO.

Main Results:

  • The developed ML potential accurately predicts structural, vibrational, elastic properties, and Li diffusivity of LLZO.
  • Simulations show the potential correctly captures grain boundary effects on Li diffusivity.
  • The ML potential accurately models thermal transition behavior and enables quantum-accurate simulations thousands of times faster than ab initio methods.

Conclusions:

  • The ML potential provides a powerful tool for simulating disordered LLZO systems and interfaces.
  • This approach overcomes limitations of traditional methods for studying complex battery materials.
  • The developed potential facilitates accelerated discovery and optimization of solid-state battery electrolytes.