Kroger

This type of point defect formation is summarized by the general notation due to Kroger and Viirk in tire equivalent form... 

Another source of departure from stoichiometry occurs when cations are reduced, as for example in tire reduction of zinc oxide to yield an oxygen-defective oxide. The zinc atoms which are formed in tlris process dissolve in the lattice, Zn+ ions entering interstitial sites and the coiTesponding number of electrons being released from these dissolved atoms in much the same manner as was found when phosphorus was dissolved in the Group IV semiconductors. The Kroger-Viirk representation of dris reduction is... 

Kroger, F.A. (1964) The Chemistry of Imperfect Crystals (North-Holland, Amsterdam). 

M. Kroger, R. Makhloufi. Wormlike micelles under shear flow A microscopic model studied by nonequihbrium molecular dynamics computer simulations. Phys Rev E 55 2531-2536, 1996. 

The formation of the combination of defects may be described as a chemical reaction and thermodynamic equilibrium conditions may be applied. The chemical notations of Kroger-Vink, Schottky, and defect structure elements (DSEs) are used [3, 11]. The chemical reactions have to balance the chemical species, lattice sites, and charges. An unoccupied lattice site is considered to be a chemical species (V) it is quite common that specific crystal structures are only found in the presence of a certain number of vacancies [12]. The Kroger-Vink notation makes use of the chemical element followed by the lattice site of this element as subscript and the charge relative to the ideal undisturbed lattice as superscript. An example is the formation of interstitial metal M ions and metal M ion vacancies, e.g., in silver halides ... 

This notation by Kroger-Vink is very intuitive. However, the laws of thermodynamic equilibrium may not be applied to these symbols because the elements are not independent of each other as required by thermodynamics. For example the formation of the interstitial metal ion re-... 

Thermodynamic equilibrium laws are applicable to the Schottky building units. However, there is a loss in intuition. In view of that conflict, the DSEs [11] make use of Kroger-Vink structural elements with the meaning of Schottky building units. This conversion is easily achieved by omitting all ideal lattice elements such as M on M sites, M M, and interstitial vacancies, V . This reads, for the example of Eqs. (5H7),... 

The DSEs thus combine the advantages of both descriptions — Kroger-Vink and Schottky. 

This reaction reads, in Kroger-Vink nota-... 

Kamlet scale 458 kinetics, lithium alloys 366 ff kinks, lithium deposition 345 Kroger-Vink notation 529... 

While activation of HSFl and HSF2 results in the increased expression of HS genes, recent studies indicate that there are distinct differences between these transcription factors. As noted previously, HSFl is the heat-inducible form of the HS factors, whereas HSF2 is activated by hemin (Sistonen et al., 1992). This observation has indicated a possible role of HSF2 in cellular differentiation. It also indicates that the activation domains of the two transcription factors are quite different. Presumably the DNA binding properties of the two transcription factors are similar, but recent experiments indicate otherwise (Kroger and Morimoto,... 

Kroger N, Deutzmann R, Sumper M (1999) Polycationic peptides from diatom biosilica that direct silica nanosphere formation. Science 286 1129-1132... 

The co-reduction of copper and selenium is considered as an exception to Kroger s theory. Current-potential curves in the literature show that deposition of copper is rather compulsory to make the deposition of selenium possible. In fact, although the standard potential for Se(IV) reduction is more positive than that of copper (0.741 and 0.340 V vs. SHE, for selenous acid and cupric ion, respectively), it turns out that Se(IV) alone is reduced at more negative potentials than Cu(II). In the presence of copper, the order is reversed. 

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