Ciystal anomalous

It will be shown in a later section that the solution of a differential population balance requires a knowledge of tbe relationship between growth rate and size of the growing ciystals Moreover, this relationship can often be deduced from the form of population density deta. A special condition, which simplifies such belances, results when all crystals in the magma grow at (he sama constant rate. Crystal-solvent systems that show this behavior ate said to follow tha AL Law proposed by McCabe.1 while systetes that do not are said to exhibit anomalous growth. 

In sect. 4.1 the one-electron ciystal-field model for the f configurations was introduced. Though this model is very successful in providing a description of the crystal-field splittings, certain anomalous multiplets are poorly fitted. Prominent examples are the mifitiplet of Pr +, the H(2)ii/2 multiplet of Nd +, and the Kg multiplet of Ho +. Almost independent of the host crystal, the calculated crystal-field levels of these multiplets show a much larger deviation from the experimental ones than all the other levels. 

Figure 2.14. Normalised conductivity as a function of reciprocal temperature for a thin ciystal of the mixed salt Per2(AsF 6)o.75(PF6)o 35-0.85DCM. Note the anomalous narrow peak. (Reproduced by permission of Gordon Breach, from ref 38.)...

Borrmann was already quite familiar with the Dahlem research institutes. He worked under Laue at the KWI for Physics in 1935 while a student of Walther Kos-sel, and he moved to Hechingen in 1943 along with the rest of the institute. There he remained true to the line of research he had begun under Kossel in Danzig, the most important result of which was the identification of the Borrmann effect demonstrated in 1941. The Bormann effect refers to the anomalously low absorption of X-rays by ideal crystals when the X-rays strike the ciystals at angles that... 

This material does not ciystallize but shows a smectic-A to nematic transition, = 380.8 K, and a nematic to isotropic transition, - 385.1 K. In addition, we have found a T transition at 402 K (see Figure 24). To demonstrate Ae sharpness of the latter we have plotted the residuals of the data against the high temperature and the low temperature linear least squares fits (see Figures 2Sa and 25b). Within the margin of error, no anomalous behavior of the hypersonic attenuation coefficient (aF) is found around the transition temperature T , thus confirming the thermodynamic nature of this transition. 

---