Miller plane

Figure 4.4 Conventional cell of an fee metal with the (001) Miller plane highlighted.

Figure 4.5 Similar to Fig. 4.4 but with the (111) Miller plane highlighted. 

In summary, a variety of LEED patterns have been observed for oxygen adsorption on the platinum metals. However, their interpretation is complicated by the uncertainty in the oxygen coverage. A second complication is the uncertainty introduced by oxygen-induced surface reconstruction. The stability of 22 high index Miller planes upon exposure to oxygen has recently been investigated by Blakely and Somorjai (160). 

Absorption correction can be based on an accurate description of the crystal shape in terms of Miller planes (faces), so that the t can be calculated for each incident and diffracted beam. The total absorption is then given by equation (27), where A is the absorption factor. 

Figure 8.10 (a) The MgO(IIO) Miller plane and (b) a cell orientated to make the d-vector perpendicular to this surface. 

There is a long history of calculations of adsorption potentials for simple gases adsorbed on the exposed low index Miller planes of ionic crystals, especially alkali halides (see the review [26] and references therein). The total interaction potential energy between an adsorbed molecule and the surface of a solid is generally expressed as a sum of dispersion, repulsion, induction, and electrostatic contributions (see, e.g.. Ref. [27]) ... 

Fig. 4 Mercury plots of (a) an extended H-bonded network in CSD refcodc KAPNAQ, and (b) a slice through the crystal structure of caprolactam. " showing molecules with centroids that lie within 2.5 A of the (3 1-1) Miller plane. (View this art in color at www.dekker.com.)...

A two-dimensional (2D) periodic surface cell was created from the crystal unit cell of the min-eral/ceramics at a given Miller plane (usually the cleavage plane) and then optimized. The surface energy was then calculated for this optimized mineral surface ... 

Fig. 6.9. Ewald s sphere of radius 1 /A, crystal may be stationed either at the center O or at C. The reciprocal lattice origin is also at C, 0 is the Bragg angle of reflection from the Miller plane hkl) in the crystal, CB is drawn normal on the hkl plane...

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