MiUer indices

Fig. 8.1 X-ray diffraction pattern of films of PDC (Pigment Black 31) 8-II (X = NCH2CH2Phenyl) [PDC] (Pigment Black 31) before and after exposure to acetone vapours. The material is clearly amorphous prior to exposure, and crystallinity is readily apparent following treatment. The diffraction peaks have been assigned MiUer indices by the original author based on correspondence with one of the two known crystal structures. Modification II dominates the transition to the crystalline phase. (From Mizuguchi (1998a), with permission.)...

As with MiUer indices, it is sometimes convenient to group together all directions that are identical by virtue of the symmetry of the structure. These are represented by the notation (uvw). In a cubic crystal, (100) represents the six directions [100], [100], [010], [OlO], [001], [001]. 

FIGURE 5.10 Left the diffraction by the scattering centers fixed by the scattering vectors (of the planes characterized by the MiUer indices) h and -h right Friedel s law at the level of structure s factors after (Matter Diflfraction, 2003 X-Rays, 2003). 

Hj Dj exchange on, 26 39-43 heteropolyanion-supported, 41 230-231 high MiUer index, 26 12-15,35,36 -H-USY zeoUte, 39 186-187 hydrocarbons adsorption, 38 229-230 reactions of cyclopropane, cyclohexane, and n-heptane, 26 51-53 structural effects, 30 25-26 hydrogen adsorption on, 23 15 hydrogenation, 30 281-282 olefins, in ethanol, 30 352-353 in hydrogenation reaction, 33 101 -iron alloys, 26 75 isomerization, 30 2-3 isotope, NMR properties, 33 213,274 kinetic oscillations, 37 220-228 ball models of densely packed surfaces, 37 221-222... 

The structure of a polycrystalline electrode depends on its preparation. Usually toe rough electrodes are prepared by electrochemical deposition of a given metal onto a suitable substrate. Microcrystals present in polycrystaUine samples are randomly oriented on the surface. Most likely, not only basal but also higher MiUer-index planes should be considered in anticipating toe final structure of the electrode surface. It was shown that the stmcture of the platinized platinum surface depends strongly on toe platinization conditions, e.g., on toe concentration of the platinization... 

All the surfaces in cubic perovskite structure are type-3 surfaces being stcicks of alternately charged planes. It is less obvious in the case of the (001) surface in AiiBiVQg as the repeat unit consists of neutral atomic planes (see below). It is also seen that the charge of the atomic plane depends both on the oxidation states of A and B atoms (the sum of oxidation states is in all cases 6) and MiUer indexes of the surface. 

Fig. 1. Surface Brillouin Zone (SBZ) for the low MiUer index surfaces of face centred cubic (fee) and body centred cubic (bcc) lattices discussed in the present review.

Figure 9.13. Seasonal variation in (a) chlorophyll a, (b) DOC, (c) percentage fulvic acid, (d) whole water (solid line) and fulvic acid (dashed hue) McKnight Fluorescence Index (FI), and (e) whole water redox index (RI) at the outlet to Green Lake 4, an alpine lake in the Colorado Rocky Mountains. The vertical dashed lines indicate the sustained rain event, and the shaded areas represent the timing of the peak in chlorophyll a at the outlet. PLFA represents the FI of the Pony Lake fulvic acid, a microbial end member, and SRFA represents the FI of the Suwannee River fulvic acid, a terrestrial end member. (Adapted from MiUer et al., 2009.)...

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