Single-Phase Microstructures

equilibrium shape means the shape of grains with the same shape and size. 

However, all microstructures satisfy a topological relationship represented by Euler s law which relates various dimensions in a geometrical figure. Let C (corner), E (edge), P (polygon) and B (body) be the numbers of 

and 3-dimensional geometries, respectively. Euler s law states that 

Unlike the corners, an edge forms when two polygons meet with each other. Therefore, 2E = + Ej, where Ej, is the number of unshared edges in the 

Let P be the total number of polygons and p the fraction of -sided polygons. Equation (3.5) is then 

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Figures 5.3b (radially orthotropic) and 5.3c (transversely isotropic) show single-phase microstructures. The graphene sheets are well ordered in a radial alignment with a large portion of exposed graphitic edge plane in one microstructure. A more random distribution of the graphene sheets is seen in the other with an isotropic distribution of both edge and basal plane throughout.

The a-aUoy has a single-phase microstructure (Figure 38.5a) which promotes good weldability. The stabilizing effect of the high aluminum content of these groups of alloys makes excellent strength... 

Figure 10,2.. Schematic of the microstructure of a nanostructured single-phase material (after...

V-P oxides are known to be efficient for the production of maleic anhydride (abbreviated as MA) from n-butane (1-3). A single-phase (VO2P2O7 has been inferred to be the active catalyst phase (4-6). In addition, the catalytic properties of (VO)2P207 varied depending on the microstructure of (VO)2P207 particles (7,8). Some claimed that the... 

The microstructure and morphology of thick single-phase films have been extensively studied for a wide variety of metals, alloys, and refractory compounds. The structure model first proposed is shown in Figure 6 (10). It was subsequently modified as shown in Figure 7 (10,11). 

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