Parentage

Cox PA (1975) Fractional Parentage Methods for Ionisation of Open shells of d and f Electrons. 24 59-81... 

In Nature, however, we always have a contiiinous distribution of particles. This means that we have all sizes, even those of fractional parentage, i.e.-18.56n, 18.57p, 18.58 p, etc. (supposing that we can measure 0.01 p differences). The reason for this is that the mecheuiisms for particle formation, i.e.- precipitation, embryo and nucleation growth, Ostwald ripening, and sintering, are random processes. Thus, while we may speak of the "statistical variation of diameters", and while we use whole numbers for the particle diameters, the actuality is that the diameters are fractional in nature. Very few particle-size" specialists seem to recognize this fact. Since the processes are random in nature, we can use statistics to describe the... 

Eisenberg AJ, Gibson P, Nandi S and Wang L (1991) The development and implementation of a HAE Ill-based RFLP system for parentage testing in Texas. Proceedings from the Second International Symposium on Human Identification, Promega Corporation, pp 163-180. 

We begin with a presentation of the ideas of the electronic structure of metals. A liquid or solid metal of course consists of positively charged nuclei and electrons. However, since most of the electrons are tightly bound to individual nuclei, one can treat a system of positive ions or ion cores (nuclei plus core electrons) and free electrons, bound to the metal as a whole. In a simple metal, the electrons of the latter type, which are treated explicitly, are the conduction electrons, whose parentage is the valence electrons of the metal atoms all others are considered as part of the cores. In some metals, such as the transition elements, the distinction between core and conduction electrons is not as sharp. 

The area of actual erg and dune formation is delimited by the 150 mm/yr isohyet. This precipitation boundary appears to have shifted strongly in the recent past. Between 20,000 and 13,000 yr BP, the southern limit of active dune formation in the Sahara desert was 800 km south of its present position and most of the now sparely vegetated Sahelian zone was an area of active dune formation at that time. These dunes, mostly of the longitudinal type, are now fixed by vegetation, but their aeolian parentage is still obvious from their well-sorted material. A similar story can be told for the Kalahari sands. Overgrazing in recent times has reactivated aeolian transport in many regions with sands. 

The last term on the right in Equation 1.22 represents a doubly reduced matrix element, which can be calculated by recursive formula in terms of the coefficients of fractional parentage [4, 14], tabulated in the work of Nielson and Koster [27]. Finally, Equation 1.18 is rewritten as... 

TABLE 3. Ionization energies (eV), CNDO/2 calculated eigenvalues (eV), orbital symmetries and parentage for Me2GeH2, Me2GeF2 and Me2GeCl2... 

MO Calcd Exptl Parentage MO Calcd Exptl Parentage MO Calcd Exptl Parentage... 

Tregenza, T. and Wedell, N. (2000) Genetic compatability, mate choice and patterns of parentage. Mol. Ecol. 9, 1013-1027. 

Six-Coordinate Systems with Ground States of Nondegenerate Octahedral Parentage... 

We are, therefore, led to -propose that low temperatures Hrandom network structure of mixed lattice parentage, i. e. that the structure is characterized by locally random 000 angle deviations from ice Ih or Ic), ice II and ice III type lattices. 

There do not yet exist random network models with mixed lattice parentage, hence the properties of low temperature HaO(as) cannot be compared with those predicted for such a model. 

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