Elements of X-ray Diffraction by B.D. & Stock, S.R. Cullity

By B.D. & Stock, S.R. Cullity

Components of X-Ray Diffraction-Pearson-B.D. Cullity and S.R. Stock-2014-EDN-3

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For example, if the Miller indices of a plane are (AW), written in parentheses, then the plane makes fractional intercepts of I/A, I/A*, \/l with the plane in a lattice, the axial lengths are a, 6, c, the plane makes actual intercepts of a/A, b/k, c/l, as shown in Fig. 2-9(a). Parallel to any plane in any latone of which passes tice, there is a whole set of parallel equidistant planes, to that plane in refer through the origin; the Miller indices (hkl) usually if axes, and, nearest the origin, although they may be taken as referring other plane in the set or to the whole set taken together.

The coordinates of equivalent points in different unit cells can always be made identical by the addition or subtraction of a set of integral coordinates; in this case, 1 from subtraction of (the f ^ 1 (the coordinates of E) gives ^ f coordinates of D). Note that the coordinates of a body-centered point, for example, are always | ^ ^ no matter whether the unit cell is cubic, tetragonal, or ortho- rhombic, and whatever its size. The coordinates of a point position, such as ^ ^ \, may also be regarded as an operator which, when "applied" to a point at the origin, will move or translate it to the position \ \ \, the position being obtained of the operator \ \ \ In this sense, the positions 000, \ \ \ are called the "body-centering translations," since they will produce the final and the original position by simple addition 000.

C. W. Jacob and B. E. ') the first first and the atoms layer above the atoms in the sequence can be summarized as two atom layers of an FCC metal are put down in the third layer are layer, so that the layer stacking A BA BA B The first same way, but the atoms of the third layer are placed in the hollows the second layer and not until the fourth layer does a position repeat. . . in the of ABC ... These stackstacking therefore has the sequence A B C are in indicated the shown in views 2-1 schemes (>.

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