Introduction to the Electron Theory of Metals

Abstract

Introduction 1 1.1 What is the electron theory of metals? 1 1.2 Historical survey of the electron theory of metals 3 1.3 Outline of this book 8 2 Bonding styles and the free-electron model 10 2.1 Prologue 2.2 Concept of an energy band 2.3 Bonding styles 2.4 Motion of an electron in free space 2.5 Free electron under the periodic boundary condition 2.6 Free electron in a box 2.7 Construction of the Fermi sphere Exercises 3 Electrons in a metal at finite temperatures 29 3.1 Prologue 3.2 Fermi-Dirac distribution function (I) 3.3 Fermi-Dirac distribution function (II) 3.4 Electronic specific heat 3.5 Low-temperature specific heat measurement 3.6 Pauli paramagnetism 3.7 Thermionic emission Exercise 53 4 Periodic lattice, and lattice vibrations in crystals 54 4.1 Prologue 54 4.2 Periodic structure and reciprocal lattice vectors 54 4.3 Periodic lattice in real space and in reciprocal space 57 4.

Charge transport along phenylenevinylene molecular wires

“…According to the formulation by Kubo, the one-dimensional complex mobility is given by [26][27][28][29] charge carrier, but also on those of the nuclei, or equivalently, on the static and dynamic structural fluctuations in the molecular wire.…”

Thermal conductivity in complex metallic alloys: Beyond Wiedemann-Franz law

“…The character of this deviation is given by a systematic significant increase in the L͑T͒ / L 0 ratio in the case of the quasicrystal whereas this ratio moderately decreases ͑as usually observed in most alloys 41 ͒ for the remaining samples. The magnitude of the WFL deviation at low temperatures is more pronounced for the approximant phase than for the giant unit-cell phases.…”

Optimizing the thermoelectric efficiency of icosahedral quasicrystals and related complex alloys

“…In fact, some time ago it was proposed on sound theoretical basis that the best TEM is likely to be found among materials exhibiting a sharp singularity in the density of states ͑DOS͒ close to the Fermi level, and that the larger the DOS value at the Fermi level, the smaller the FOM value at low temperatures. 21 Quite interestingly the electronic structure of QCs fits in this framework in a natural way since their electronic structure is characterized by two main contributions: ͑1͒ a pronounced pseudogap at the Fermi level 2,22 and ͑2͒ several narrow spectral features in the DOS near the Fermi level. 23,24 …”