Paracrystalline
From Wikipedia, the free encyclopedia
Paracrystalline materials are defined as having short and medium range ordering in their lattice (similar to the liquid crystal phases) but lacking long-range ordering at least in one direction.[1]
Ordering is the regularity in which atoms appear in a predictable lattice, as measured from one point. In a highly ordered, perfectly crystalline material, or single crystal, the location of every atom in the structure can be described exactly measuring out from a single origin. Conversely, in a disordered structure such as a liquid or amorphous solid, the location of the first and perhaps second nearest neighbors can be described from an origin (with some degree of uncertainty) and the ability to predict locations decreases rapidly from there out. The distance at which atom locations can be predicted is referred to as the correlation length 
. A paracrystalline material exhibits correlation somewhere between the fully amorphous and fully crystalline.
The primary, most accessible source of crystallinity information is X-ray diffraction, although other techniques may be needed to observe the complex structure of paracrystalline materials, such as fluctuation electron microscopy [2] in combination with Density of states modeling[3] of electronic and vibrational states.
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Paracrystalline Model
The paracrystalline model is a revision of the Continuous Random Network model first proposed by W. H. Zachariasen in 1932 [4]. The paracrystal model is defined as highly strained, microcrystalline grains surrounded by fully amorphous material [5]. This is a higher energy state then the continuous random network model. The important distinction between this model and the microcrystalline phases is the lack of defined grain boundaries and highly strained lattice parameters, which makes calculations of molecular and lattice dynamics difficult. A general theory of paracrystals has been formulated in a basic textbook[6] , and then further developed/refined by various authors.
Applications
The paracrystal model has been useful, for example, in describing the state of partially amorphous semiconductor materials after deposition. It has also been successfully applied to synthetic polymers, liquid crystals, biopoloymers[7][8], and biomembranes[9].
See also
- X-ray scattering
- Amorphous solid
- Single Crystal
- Polycrystalline
- Crystallography
- DNA
- X-ray pattern of a B-DNA Paracrystal
Notes
- ^ Voyles, et al. Structure and physical properties of paracrystalline atomistic models of amorphous silicon. J. Ap. Phys., 90(2001) 4437, doi: 10.1063/1.1407319
- ^ Biswas, P, et al. J. Phys.:Condens. Matter, 19 (2007) 455202, doi:10.1088/0953-8984/19/45/455202
- ^ Nakhmanson, Voyles, Mousseau, Barkema, and Drabold. Phys. Rev. B 63(2001) 235207. doi: 10.1103/PhysRevB.63.235207
- ^ Zachariasen, W.H., J. Am. Chem. Soc., 54(1932) 3841.
- ^ J.M. Cowley, Diffraction Studies on Non-Cryst. Substan. 13 (1981)
- ^ Hosemann R., Bagchi R.N., Direct analysis of diffraction by matter, North-Holland Publs., Amsterdam – New York, 1962
- ^ Bessel functions and diffraction by helical structures http://planetphysics.org/encyclopedia/BesselFunctionsAndTheirApplicationsToDiffractionByHelicalStructures.html
- ^ X-Ray Diffraction Patterns of Double-Helical Deoxyribonucleic Acid (DNA) Crystals and Paracrystalline Fibers http://planetphysics.org/encyclopedia/BesselFunctionsApplicationsToDiffractionByHelicalStructures.html
- ^ Baianu I.C., X-ray scattering by partially disordered membrane systems, Acta Cryst. A, 34 (1978), 751–753.