By Rolf E. Hummel
IEEE CIRCUITS & units journal "The difficulties on the finish of every bankruptcy expand the scope of the formal textual content significantly and are a vital a part of the publication. The ebook has numerous appendices on simple physics and arithmetic, which make the e-book kind of self-contained and serve to refresh the reader's memory...The writer additionally supplies the industrial importance of fabrics. for instance he compares the relative charges of uncooked fabrics and items made of structural fabrics, area of expertise steels, and semiconductors. those comparisons should still inspire the reader and position engineering study in its industry environment...The ancient and monetary views improve the ebook. It has a few very good chapters..."
CHOICE journal "Hummel's ebook is meant as an creation for fabrics and electric engineers to the trendy electron idea of fabrics and it'll be successful admirably in that motive for better scholars on the senior and graduate levels...admirably done...the publication belongs in all educational engineering libraries and in lots of commercial libraries, relatively these of high-tech companies."
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Additional resources for Electronic Properties of Materials: An Introduction for Engineers
The factor 2n is introduced for convenience. ) The real and reciprocallattices are related by a definition which states that the scalar product ofthe vectors t 1 and b 1 should be unity, whereas the scalar products ofb 1 and t 2 or b 1 and t 3 are zero: b1 . 15) = O. 17) bn·tm = Jnm , where Jnm = 1 for n = m and Jnm = 0 for n -# m. 16) it follows 8 that b 1 is perpendicular to t 2 and to t 3 which means that t 2 and t 3 form a plane perpendicular to the vector b 1 (Fig. 15). 18) b 1 = const t 2 x t 3 .
5. 4. Wigner-Seitz Cells Crystals have symmetrical properties. , the fewer atoms it contains, the simpler its description. " Frequently, however, a larger, nonprimitive unit cell is used, which might have the advantage that the symmetry can be better recognized. Body-centered cubic and face-centered cubic are characterisic representatives of such "conventional" unit cells. 7 The Wigner-Seitz cell is a special type of primitive unit cell which shows the cubic symmetry ofthe cubic cells. For its construction, one bisects the vectors from a given atom to its nearest neighbors and places a plane perpendicular to these vectors at the bisecting points.
6. As a rule this does not cause any confusion. 9)). " The reader might recall from a course in crystallography that each crystal structure has two lattices associated with it, one of them being the crystal (or real) lattice and the other the reciprocallattice. 5 how these two lattices are related. The following may suffice for the moment: each lattice plane in real space can be represented by a vector which is normal to this plane and whose length is made proportional to the reciprocal of the interplanar distance.