Chessboard pattern

Figure 12.3. Comparison between experimental observations (a-c) and simulation predictions (d f) of the microstructural development of a chessboard pattern forming in a Con sPtf,) j alloy slowly cooled from 1023 K to (a) 963 K, (b) 923 K and (e) 873 K. The last of these was maintained at 87.3 K to allow the chessboard pattern time to perfect itself (Le Bouar ei iil. 2000) (courtesy...

Prof. W.L. Bragg asserts that "In sodium chloride there appear to be no molecules represented by NaCl. The equality in numbers of sodium and chlorine atoms is arrived at by a chessboard pattern of these atoms it is a... 

Figure 8.24. BF micrograph of microcline. The intersection of albite twins (A and B) with pericline twins (A and B ) has produced a chessboard pattern of finely twinned regions and untwinned window regions. The electron beam is near [104]. (From Fitz Gerald and McLaren 1982.)...

Figure 8.25. Diagram showing the idealized intersection of a set of albite-twin lamellae ABABA... with a set of pericline twin lamellae A B A B A. .. to form the chessboard pattern of cross-hatched twinning. (From McLaren 1978.)...

The commonest ordering pattern encountered corresponds to the two different cations, B and B, arranged in a chessboard pattern, often called rock-salt ordering (Figiure 2.1). 

When working out the value of the 3 x 3 determinant, a sign is also added to the cofactor following the chessboard pattern ... 

Frank-Kamenetsky [1960] has proposed a crystal-chemical system of classification of simple and interstratifled clay minerals. This classifies the interstratifled minerals on a chessboard pattern, with a distinction between regular and random in each case. Specific names are given to completely regular interstratifications. Along one axis is the major component of the mixture. The names used are of the type of, e.g., hydromica-vermiculite, where the second name represent the major component. 

The chessboard-like pattern of the octahedra leaves empty channels which are occupied by the ammonium end of the organic residues. The monomer form 2 contains four crystallographically... 

Schematic plan view of chessboard-like surface-charge patterns in a microchannel which generates in-plane...

A more elaborated theoretical model based on interfacial Taylor instability triggering the surface wave was developed by Peskin and Raco [39]. A thin layer of a liquid, wetting the surface of a solid resonator wbch vibrates to its plane, forms a chessboard-like pattern of stationary capillary waves. This phenomenon occurs when the vibration amplibde exceeds a threshold value. Further on, ligament breakup of the liquid occurs and droplets are hurled from the crests of the capillary waves. Together with the wavelength, they introduced wave amplibde and the sheet thickness as parameters to determine the droplet size [39]. 

Yoshimoto S, Honda Y, Ito O, Itaya K (2008) Supramolecitlar pattern of fuHerene on 2D bimolecular chessboard consisting of bottom-up assembly of porphyrin and phthalocyanine molecules. J Am Chem Soc 130 1085-1092. doi 10.1021/ja077407p... 

Surface-Charge Patterning Techniques, Figure 7 (a) Schematic plan view of chessboard-like surface charge patterns in a microchannel which generates in-plane vortices, (b) A cross-section C-C of the microchannel showing symmetric patterns on top and bottom of the channel walls... 

Figure 2.12 Special textures arising in theory, (a] Stripes, which attain the Wiener bounds of the maximal and minimal effective slip, if oriented parallel or perpendicular to the pressure gradient, respectively (b) the HS fractal pattern of nested circles, which attains the maximal/minimal slip among all isotropic textures (patched should fill up the whole space, but their number is limited here for clarity) and (c) the Schulgasser and (d) chessboard textures, whose effective slip follows from the phase-interchange theorem (adapted from. ) Abbreviation HS, Hashin-Shtrikman.

Phase interchange patterns (Schulgasser texture, family of chessboards)... 

We have discussed formulas describing effective boundary conditions for pressure-driven flow past superhydrophobic textures of special interest (such as stripes, fractal patterns of nested circles, and chessboards). The predicted large effective slip of superhydrophobic surfaces compared to simple, smooth channels can greatly lower the viscous drag of thin microchannels. 

The interior decorators of King Tuts tomb used ebony and ivory veneer. So did the builders in the French Renaissance court of King Louis XIV, who used exotics and burl wood to make intricate veneer patterns called marquetry. Today Ikea continues this great tradition, as veneer is widely used in commercial furniture to stretch the use of valuable hardwoods. Done right, veneer—a thin slice of wood applied to another piece of wood as decoration—can greatly enhance a project. Here you ll apply the technique to create a chessboard. 

---