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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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Crystallization is a phase transformation process in which crystals are precipitated from a supersaturated solution or formed from other sources. During crystallization, atoms or molecules arrange themselves into a well-defined, rigid crystal lattice to minimize energy.
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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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Phase Diagrams02:39

Phase Diagrams

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A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
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Phase Transitions02:31

Phase Transitions

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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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Tetrahedral Complexes
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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The phase problem for two-dimensional crystals. II. Simulations.

Romain D Arnal1, Yun Zhao2, Alok K Mitra3

  • 1Computational Imaging Group, Department of Electrical and Computer Engineering, University of Canterbury, Christchurch, New Zealand.

Acta Crystallographica. Section A, Foundations and Advances
|September 6, 2018
PubMed
Summary
This summary is machine-generated.

Phasing diffraction data from 2D crystals is feasible using minimal molecular envelope information. This supports X-ray free-electron laser studies of membrane proteins, even with noise.

Keywords:
XFELsab initio phasingiterative projection algorithmsmembrane proteinsphase problemphase retrievaltwo-dimensional crystals

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Area of Science:

  • Structural biology
  • Crystallography
  • Biophysics

Background:

  • Two-dimensional (2D) crystals are valuable for studying membrane proteins.
  • X-ray free-electron lasers (XFELs) enable high-resolution structural studies, including dynamic processes at room temperature.

Purpose of the Study:

  • To investigate the feasibility of phasing diffraction data from 2D crystals using limited molecular envelope information.
  • To assess the impact of noise and determine requirements for structure determination with XFELs.

Main Methods:

  • Simulations using an iterative projection algorithm.
  • Analysis of phasing feasibility with minimal molecular envelope data.
  • Investigation of noise effects on structure determination.

Main Results:

  • Phasing is demonstrated to be feasible with minimal molecular envelope information.
  • The findings support recent theoretical results on the uniqueness of phasing solutions.
  • The study outlines the effects of noise and requirements for XFEL structure determination.

Conclusions:

  • Minimal molecular envelope information is sufficient for phasing 2D crystal diffraction data.
  • This methodology is promising for advancing membrane protein structure determination using XFELs.