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Related Concept Videos

Structures of Solids02:22

Structures of Solids

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...
Ionic Crystal Structures02:42

Ionic Crystal Structures

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...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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,...
¹H NMR Chemical Shift Equivalence: Homotopic and Heterotopic Protons01:03

¹H NMR Chemical Shift Equivalence: Homotopic and Heterotopic Protons

Protons in identical electronic environments within a molecule are chemically equivalent and have the same chemical shift. The replacement test is a useful tool to identify chemical equivalence and predict NMR spectra. A substituent replaces each of the protons being examined and the resulting molecules are compared. If the same molecule is obtained, the protons are equivalent or homotopic. Replacement of any hydrogens in ethane by chlorine yields chloroethane because all six protons are...
Unit Cells01:18

Unit Cells

A crystal's internal structure is an orderly array of atoms, ions, or molecules, and the details of this array significantly influence the solid's properties. In a crystal, periodically repeating 'structural motifs' - which could be atoms, molecules, or groups thereof - create a 'space lattice.' This is essentially a three-dimensional, infinite array of points, each surrounded by its neighbors in an identical way, forming the basic structure of the crystal.A 'unit cell' is a theoretical...
The Seven Crystal Systems: Overview01:24

The Seven Crystal Systems: Overview

Crystals with various point group symmetries belong to different crystal classes, which are synonymous terms. Despite being in the same class, crystals may have distinct shapes, like cubes and octahedra. There are 32 three-dimensional point groups, all of which are systematically divided into seven crystal systems.The basic cubic crystal system, exemplified by NaCl, features orthogonal vectors (α = β = �� = 90°) of equal lengths (a = b = c). When specific requirements are not imposed on the...

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Assessing Two-dimensional Crystallization Trials of Small Membrane Proteins for Structural Biology Studies by Electron Crystallography
09:23

Assessing Two-dimensional Crystallization Trials of Small Membrane Proteins for Structural Biology Studies by Electron Crystallography

Published on: October 30, 2010

Inequivalent molecules in a two-dimensional crystal.

Kibum Kim1, Adam J Matzger

  • 1Department of Chemistry and the Macromolecular Science and Engineering Program, The University of Michigan, Ann Arbor, Michigan 48109-1055, USA.

Journal of the American Chemical Society
|July 26, 2002
PubMed
Summary
This summary is machine-generated.

Researchers discovered that simple molecules can form two-dimensional crystals with 1.5 inequivalent molecules in their unit cell, a phenomenon previously thought exclusive to three-dimensional crystals. This finding expands our understanding of crystal structures at solution-solid interfaces.

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Area of Science:

  • Surface Science
  • Crystallography
  • Materials Chemistry

Background:

  • Physisorbed monolayers at solution-solid interfaces exhibit 2D crystal characteristics analogous to 3D crystals.
  • Scanning tunneling microscopy (STM) is a key technique for studying these monolayers and crystallization phenomena.
  • The concept of inequivalent molecules within a unit cell was traditionally associated with 3D crystals.

Purpose of the Study:

  • To investigate the structural complexity of 2D crystals formed at solution-solid interfaces.
  • To explore whether inequivalent molecules can exist in the unit cells of 2D crystals.
  • To demonstrate novel packing arrangements in simple molecular monolayers.

Main Methods:

  • Formation of physisorbed monolayers of 1,3-dinonadecanoyl benzene at the solution-graphite interface.
  • High-resolution imaging using scanning tunneling microscopy (STM).
  • Analysis of molecular packing and unit cell composition.

Main Results:

  • The 1,3-dinonadecanoyl benzene monolayer on highly oriented pyrolytic graphite (HOPG) exhibits a unique unit cell.
  • The unit cell was found to contain 1.5 inequivalent molecules (Z' = 1.5).
  • This observation challenges the previous understanding of unit cell composition in 2D crystals.

Conclusions:

  • Simple molecules can form 2D crystals with inequivalent molecules in the unit cell.
  • This finding extends the analogy between 2D and 3D crystal structures.
  • The study reveals new possibilities for molecular packing in the solid state at interfaces.