By I. M. Tsidilkovski, Brian Pamplin
ISBN-10: 0080216579
ISBN-13: 9780080216577
Band constitution of Semiconductors presents a evaluate of the theoretical and experimental equipment of investigating band constitution and an research of the result of the advancements during this box.
The e-book provides the issues, tools, and functions within the examine of band constitution. issues at the computational tools of band constitution; band constructions of significant semiconducting fabrics; habit of an electron in a perturbed periodic box; powerful plenty and g-factors for the main typically encountered band buildings; and the remedy of cyclotron resonance, Shubnikov-de Haas oscillations, magnetophonon resonance, and magneto-optical phenomena are mentioned.
Experimental physicists, theoretical physicists, scholars and study employees, and engineers operating within the box of semiconductor electronics will locate this ebook a superb resource of important info.
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Extra resources for Band Structure of Semiconductors
Example text
One has to compute only the integrals containing the product of the sums of atomic functions and plane waves. This can be accomplished without much difficulty. However, in the case of, say, transition metals, one has to deal with wave functions of dtype, which decrease slowly upon moving away from the nucleus, so that they cannot be neglected outside the cell. If we try to include such functions in the Bloch sums along with the functions of deep states, we shall have to compute complicated integrals since in the expansion of d-functions into plane waves, it is necessary to retain a large number of terms.
90) has been solved, the coefficients a. 89). So far, the crystal potential U(r) could be arbitrary. Choosing the form of 'muffin-tin' potential helps in transformation of the expression for func tional Λ in a form which does not depend explicitly on the potential, there by simplifying calculations to a great extent. Without going into details of calculation (see (28)), let us directly write the limiting equation for the functional Λ = lim δ-*0 / * ί ψφ- *»*] » . j£-26 r' After simple transformations, the expression for energy assumes the form ak ak akn ε (£) = ε - C + 8i4 cos — — cos —^- cos — - . 48) The energy for a face-centred cubic lattice may be calculated analogously. Here, each atom is surrounded by twelve nearest neighbours, located at a distance a//2 from it, along the face diagonals. The vectors n 0 are equal to «oi = 2" ( a + P)S n o2 = - (a + γ ) , n03 = ^ (P + Ύ>> tt04 = — (a - p) and so on. j. 49) . 49) have been derived on the assumption that the wave function φ (r - n) of an electron in an atom corresponds to the s-state which is non-degenerate. Band Structure of Semiconductors by I. M. Tsidilkovski, Brian Pamplin
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