Alpha-method

John Slater, bom Oak Park, Illinois, 1900. Ph.D. Harvard, 1923. Professor of physics, Harvard, 1924-1930 MIT 1930-1966 University of Florida at Gainesville, 1966-1976. Author of 14 textbooks, contributed to solid-state physics and quantum chemistry, developed X-alpha method (early density functional theory method). Died Sanibel Island, Florida, 1976. 

The DV-X Alpha Method for Design and Characterization of Materials Editors H. Adachi, T. Mukoyama, and J. Kawai... 

IV) Residual background suppression. The residual background has been evaluated with two different methods the Alpha fit and the Ring method. 1) Alpha method the distribution of the Alpha parameter has been fitted with a second order polynomial, without the linear term, between 20 and 80 0 (where only background is present). Then the fit extrapolation to the 0-12.5° region... 

Sivaramakrishnan V, Venkatasnbramaniam VS (1959) Ages of some detrital monazites by the lead-alpha method of geochronology. Proc Nat Inst Sci India A Phys Sci 25 278-280 Smith HA, Barreiro B (1990) Monazite U-Pb dating of staurolite grade metamorphism in politic schists. Contrib Mineral Petrol 105 602-615... 

The same procedure as for oxidation yield was applied to Sbet and to several porous textural parameters determined by the alpha method (total surface area, external surface area and micropore volume) on each sample oxidized in dry air. This led to the master curves at 673 K for the respective parameters shown on Fig. 21. All master curves for pore parameters were derived by using the same shift factors as for the oxidation yield (i.e., the same apparent activation energy). 

Alpha method The alpha procedure was derived by Drewry, Weidler, and Hwong (1977) from the same data set used for the original lambda correlation. For pile-capacity calculations the procedure utilizes a multiplier a on the undrained shear strength (Su) of the clay. The API code has traditionally recommended a value of 1.0 for Gulf of Mexico-type clays or a value that varies with strength for other types of clays. The API (2000) code varies the a value with the ratio of undrained soil strength to effective soil overburden ( / = S /a ) is as given in Equation 10.21 ... 

Dunlap, B. 1., Connolly, J. W. D., and Sabin, J. R. (1977]. Applicability of LCAO-X-alpha methods to molecules containing transition-metal atoms - nickel atom and nickel hydride, Int. J. Quantum Chem. Symp. 11,... 

The first age determinations of the Thiel Mountains Porphyry and of the Reed Ridge Granites pubfished by Ford et al. (1963), Aaron and Ford (1964), Ford (1964), and Sclmudt and Ford (1969) were based in part on the lead-alpha method of dating that was described by Gottfiied et al. (1959) and sununarized by Faure (1986). The Pb-alpha dates of zircon in the Thiel Mountains... 

Measurements on time distribution of prompt fission neutrons using Rossi-alpha method (applicable for Peff measurements) were made on this assembly. Prompt neutron decay constants were measured for various arrangements of polyethylene moderator discs in the assembly reflector, including the case when there were no moderator discs in the reflector. It became possible to explain the presence of short decay periods owing to the corrected coefficient of cormection between the core and the polyethylene discs in the firamework of the two point model. 

Chung, J. c Hulbert, G.M. 1993. A time integration algorithm for structural dynamics with improved numerical dissipation the generalized alpha-method./o r a/ of Applied Mechanics,... 

Hartree-Fock-Slater Method for Materials Science. The DV-X Alpha Method for Design and Characterization of Materials, eds. H.Adachi, T.Mukoyama, J. Kawai, in Springer Series in Materials Science, vol. 84, (Spinger, Berlin, Heidelberg, New York, 2006)... 

Figure 1 A family tree of quantum chemistry DFT, density functional theory QMC, quantum Monte Carlo RRV, Rayleigh-Ritz variational theory X-a, X-alpha method KS, Kohn-Sham approach LDA, BP, B3LYP, density functional approximations VQMC, variational QMC DQMC, diffusion QMC FNQMC, fixed-node QMC PIQMC, path integral QMC EQMC, exact QMC HF, Hartree-Fock EC, explicitly correlated functions P, perturbational MP2, MP4, Maller-Plesset perturbational Cl, configuration interaction MRCI, multireference Cl FCI, full Cl CC, CCSD(T), coupled-cluster approaches. Other acronyms are defined in the text.

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