Cellular method

Cellular Method. The cellular method of Wigner and Seitz (1933) assumes that the solid is divided into "cells" with an ionic core at the origin the atomic wavefunction is of the type 

Other methods for detennining the energy band structure include cellular methods. Green fiinction approaches and augmented plane waves [2, 3]. The choice of which method to use is often dictated by die particular system of interest. Details in applying these methods to condensed matter phases can be found elsewhere (see section B3.2). 

Kaufman, P. B. Handbook of Molecular and Cellular Methods in Biology and Medicine. Boca Raton, FL CRC Press, 1995. 

Zhang, X.-G. and Butler, W.H. (1992). Simple cellular method for the exact solution of the one-electron Schrodinger equation, Phys. Rev. Lett. 68, 3753-3756. 

Shockley, W. (1937) The empty lattice test of the cellular method in solids. Phys. Rev. 52, 

The HLA-DP specificities are detected not by serological techniques but by a cellular method known as the primed lymphocyte typing (PLT) test (SIO, Wl). More recently, these specificities have been detected by Southern blotting with appropriate probes and restriction enzymes, and by using monoclonal antibodies in an ELISA (B15). Six HLA-DP specificities are currently recognized (Table 1). 

Ferraz, A.C., Takahashi, E.K. and Leite, J.R. (1982). Application of the variational cellular method to periodic structures. Energy band of sodium, Phys. Rev. B 26, 690-700. 

Minor, L.K. 2003. Assays to measure the activation of membrane tyrosine kinase receptors focus on cellular methods. Curr. Opin. Drug Discov. Devel. 6, 760-765. 

Lima, M.A.P, Leite, J.R. and Fazio, A. (1971). Theoretical study of the F2 molecule using the variational cellular method, J. Phys. B 14, L533-L535. 

Water, electronic correlation, 324 methane-propane ternary system, 23 superposition of configuration, 295 Wigner s theory, cellular method," 252, 304, 306, 318 

Here the last expression was found by taking the arithmetic mean between the two forms, Eq. 11.45 and Eq. 11.74. Formulas of this type have actually been used in the cellular method" for treating crystals, but our own experience from work on atoms is that the orbital energies sk seem to be the quantities in the HF scheme which are most easily influenced by numerical uncertainties and errors. Even if Eqs. 11.74 and 11.75 are practically simpler to handle than Eq. 11.45, they are probably less numerically reliable. Further investigations on this point are desired. 

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