Patterson

majority of alkali salts are sparingly soluble in solutions of the hydrosulphides hence the solution of 

The former method is the easier, and is therefore generally employed. 

This method is based on the same principle as Victor Meyer s vapor density determination. The apparatus, 

The apparatus employed consists of a short-necked flask Fig. 10, fitted with a rubber topperand glass rod 

With the above exceptions the method provides a ready means of differentiating carboxylic hydrogen from phenolic or alcoholic, a distinction which the two preceding methods do not furnish with certainty. 

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Patterson function The Fourier transform of observed intensities after diffraction (e.g. of X-rays). From the Patterson map it is possible to determine the positions of scattering centres (atoms, electrons). 

Brunauer and co-workers [129, 130] found values of of 1310, 1180, and 386 ergs/cm for CaO, Ca(OH)2 and tobermorite (a calcium silicate hydrate). Jura and Garland [131] reported a value of 1040 ergs/cm for magnesium oxide. Patterson and coworkers [132] used fractionated sodium chloride particles prepared by a volatilization method to find that the surface contribution to the low-temperature heat capacity varied approximately in proportion to the area determined by gas adsorption. Questions of equilibrium arise in these and adsorption studies on finely divided surfaces as discussed in Section X-3. 

Patterson J D 1971 Introduction to the Theory of Solid State Physics (Reading, MA Addison-Wesley)... 

McGilp J F, Patterson C H and Weaire D L (ed) 1995 Epioptios Linear and Noniinear Optioai Speotrosoopy of Surfaoes and interfaoes (Berlin Springer)... 

The integrand in this expression will have a large value at a point r if p(r) and p(r+s) are both large, and P s) will be large if this condition is satisfied systematically over all space. It is therefore a self- or autocorrelation fiinction of p(r). If p(r) is periodic, as m a crystal, F(s) will also be periodic, with a large peak when s is a vector of the lattice and also will have a peak when s is a vector between any two atomic positions. The fiinction F(s) is known as the Patterson function, after A L Patterson [14], who introduced its application to the problem of crystal structure detemiination. 

We have seen that the intensities of diffraction are proportional to the Fourier transfomi of the Patterson fimction, a self-convolution of the scattering matter and that, for a crystal, the Patterson fimction is periodic in tln-ee dimensions. Because the intensity is a positive, real number, the Patterson fimction is not dependent on phase and it can be computed directly from the data. The squared stmcture amplitude is... 

If the space group contains screw axes or glide planes, the Patterson fiinction can be particularly revealing. Suppose, for example, that parallel to the c axis of the crystal there is a 2 screw axis, one that combines a 180° rotation with... 

Patterson A L 1934 A Fourier series method for for the determination of the components of interatomic distances in crystals Phys. Rev. 46 372-6... 

Flarker D 1936 The application of the three-dimensional Patterson method and the crystal structures of proustite, Ag,AsS, and pyrargyrite, Ag,SnS, J. Chem. Phys. 4 381-90... 

Patterson C H and Messmer R P 1990 Bonding and structure in silicon clusters a valence-bond interpretation Phys. Rev. B 42 7530... 

Cramer R D III, D E Patterson and J D Bunce 1988, Comparative Molecular Field Analysis (CoMFA). Effect of Shape on Binding of Steroids to Carrier Proteins. Journal of the American Chemical Societ 110 5959-5967. 

Bogner, F. K., Fox, F. L. and Scliinit, L. A., 1965. The generation of interelemenl-coinpatible stiffness and mass matrices by the use of interpolation formulae. Proc. Conf. on Matrix Methods in Structural Mechanics, Air Force Institute of Technology, Wright-Patterson AF Base, OH. 

J. W. Patterson and R. A. Minear, State of the Art for the Inorganic Chemicals Industy Commercial Explosives, 600/2-74-009b, Environmental Protection Agency, Washington, D.C., 1975. 

Y. O. Dova, The Chemistry and Technology of High Explosives, Wright Patterson Air force Base Translation, Dayton, Ohio, 1961. 

P. Kuent2mann, Specific Impulse Tosses ofMetalli d Solid Propellants, PTD-NC-23-2717-74, Air Eorce Eoreign Technology Division, Wright Patterson Air Eorce Base, Dayton, Ohio, 1974. 

H. Shaw, C. D. Kalfadehs, and C. E. Jahnig, Evaluation of Methods to Produce Aviation Turbine Fuels From Synthetic Crude Oils-Phase I, Technical Report AFAPL-TR-75-10, Vol. 1, Air Force Aero Propulsion Laboratory, Wright-Patterson Air Force Base, Dayton, Ohio, Mar. 1975. 

U.S. Dept, of the Air Force, Specification MIE-F-25017dforFuelSoluble Corrosion Inhibitor, Wright Patterson AFB, Dayton, Ohio, May 1981. 

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