{"id":1101,"date":"2020-02-26T13:35:50","date_gmt":"2020-02-26T12:35:50","guid":{"rendered":"http:\/\/polysense.poliba.it\/?page_id=1101"},"modified":"2026-10-17T15:35:27","modified_gmt":"2026-10-17T13:35:27","slug":"solid-state-physics","status":"publish","type":"page","link":"https:\/\/polysense.poliba.it\/index.php\/solid-state-physics\/","title":{"rendered":"Solid State Physics"},"content":{"rendered":"<h2>Syllabus<\/h2>\n<h3>1.\u00a0Crystal Structure<\/h3>\n<p><strong>1.1\u00a0Periodic Array of Atoms<\/strong>.\u00a0 1.1.1 Lattice Translation Vectors. 1.1.2 Primitive Lattice Cell.\u00a0<strong>1.2\u00a0Fundamental Types of Lattices<\/strong>.\u00a01.2.1 Two-Dimensional Lattice Types. 1.2.2 Three-Dimensional Lattice Types.\u00a01.2.3 Index Systems for Crystal Planes and Directions.\u00a0<strong>1.3\u00a0Simple Crystal Structures<\/strong>. 1.3.1\u00a0Sodium Chloride Structures. 1.3.2\u00a0Cesium Chloride Structures. 1.3.3\u00a0Diamond Structure. 1.3.4\u00a0Zinc Blende Structure.\u00a0<strong>1.4\u00a0Problems<\/strong>.<\/p>\n<h3>2.\u00a0Reciprocal Lattice<\/h3>\n<p><strong>2.1<\/strong>\u00a0<strong>The Bragg Diffraction Law<\/strong>.\u00a0<strong>2.2<\/strong>\u00a0<strong>Reciprocal Lattice<\/strong>. 2.2.1 Fourier Analysis of Scattered Wave. 2.2.2\u00a0Reciprocal Lattice Vectors. 2.2.3\u00a0Diffraction Conditions. 2.2.4 Laue Equations.\u00a0\u00a0<strong>2.3<\/strong> <strong>Brillouin Zones<\/strong>.\u00a02.3.1 Reciprocal Lattice to Cubic Lattice.\u00a02.3.2 Reciprocal Lattice to Face-Centered Cubic Lattice. 2.3.3\u00a0Reciprocal Lattice to Body-Centered Cubic Lattice.\u00a0\u00a0<strong>2.4<\/strong> <strong>Fourier Analysis of the Basis<\/strong>. 2.4.1\u00a0Structure Factor of Body-Centered Cubic Lattice. 2.4.2\u00a0Structure Factor of Face-Centered Cubic Lattice. 2.4.3\u00a0Atomic Form Factor.\u00a0<strong>2.5<\/strong> <strong>Problems<\/strong>.<\/p>\n<h3>3. Band Structures<\/h3>\n<p><strong>3.1<\/strong>\u00a0<strong>Introduction.\u00a03.2\u00a0Free Electron Fermi Gas<\/strong>. 3.2.1 Single Electron Model. 3.2.2 Fermi Sphere. 3.2.3 Density of States. 3.2.4 Fermi Distribution\u00a0<strong>3.3<\/strong>\u00a0<strong>Non-Interacting Electrons in a Periodic Potential<\/strong>. 3.3.1 Definition of Periodic Potential. 3.3.2 Bloch Theorem. 3.3.3 Band Index. 3.3.4 Fermi Surface. 3.3.5 Kronig-Penney Model.\u00a0 3.3.6 Energy Bands in 1D lattice.\u00a0<strong>3.4<\/strong>\u00a0<strong>Nearly Free Electrons in a Weak Periodic Potential.<\/strong>\u00a03.4.1 General Approach to Schrodinger Equation.\u00a03.4.2 Energy Levels near a single Bragg Plane.\u00a03.4.3 Energy Bands in a 1D lattice.\u00a0<strong>3.5<\/strong>\u00a0<strong>Tight-Binding Model. 3.5.1 General Approach.<\/strong> 3.5.2 Energy Bands in a 1D Lattice.\u00a0<strong>3.6<\/strong>\u00a0<strong>Energy Bands in Three Dimensions.<\/strong> 3.6.1 Introduction. 3.6.2 High Symmetry Points. 3.6.3\u00a0Energy Bands in a Cubic Lattice. 3.6.4\u00a0Energy Bands in a Body-Centered Cubic Lattice. 3.6.5\u00a0Energy Bands in a Face-Centered Cubic Lattice. <strong>3.7<\/strong>\u00a0<strong>Orthogonalized Plane-Wave. 3.8\u00a0Pseudopotential<\/strong>.<\/p>\n<h3>4. Boltzmann&#8217;s Transport Equation<\/h3>\n<p><strong>4.1<\/strong>\u00a0<strong>Introduction. 4.2 The Electron Distribution Function<\/strong>. 4.2.1 Equation of Motion. 4.2.2 Steady-state Transport. 4.2.3 Relaxation Time Approximation. <strong>4.3<\/strong> <strong>Electrical and Thermal Transport.<\/strong> 4.3.1 Isothermal Electrical Conductivity. 4.3.2 Thermo-electric Transport. 4.3.3 Thermal Conductivity. <strong>4.4<\/strong> <strong>Drift-Diffusion Model.<\/strong> 4.4.1. Diffusion Equation. 4.4.2. Continuity Equation. 4.4.3. Poisson Equation. <strong>4.5<\/strong> <strong>Solution of Finite Element Equations.<\/strong> 4.5.1 Introduction to Finite Element Method. 4.5.2 Discretization of the Domain. 4.5.3 Application of Finite Element Method: a Simple Example. 4.5.4 Physical Limitations on Numerical Drift-Diffusion Schemes.<\/p>\n<h2>SLIDES<\/h2>\n<h4><a href=\"https:\/\/polysense.poliba.it\/wp-content\/uploads\/2026\/09\/CAPITOLO-1.-Struttura-Cristallina.pdf\">1. CRYSTAL STRUCTURE<\/a><\/h4>\n<h4><a href=\"https:\/\/polysense.poliba.it\/wp-content\/uploads\/2026\/09\/CAPITOLO-2.-Reticolo-Reciproco.pdf\">2. RECIPROCAL LATTICE<\/a><\/h4>\n<h4><a href=\"https:\/\/polysense.poliba.it\/wp-content\/uploads\/2026\/09\/CAPITOLO-3.-Struttura-a-bande.pdf\">3. BAND STRUCTURES<\/a><\/h4>\n<h4><a href=\"https:\/\/polysense.poliba.it\/wp-content\/uploads\/2026\/10\/CAPITOLO-4.-Fenomeni-di-trasporto.pdf\">4. BOLTZMANN&#8217;S TRANSPORT EQUATION<\/a><\/h4>\n<h2>TEXTBOOKS<\/h2>\n<p>N. W. Ashcroft and N. D. Mermin &#8211; <strong>Solid State Physics<\/strong>, Cencage.<br \/>\nC. Kittel &#8211; <strong>Introduction To Solid State Physics<\/strong>, John Wiley &amp; Sons Inc.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Syllabus 1.\u00a0Crystal Structure 1.1\u00a0Periodic Array of Atoms.\u00a0 1.1.1 Lattice Translation Vectors. 1.1.2 Primitive Lattice Cell.\u00a01.2\u00a0Fundamental Types of Lattices.\u00a01.2.1 Two-Dimensional Lattice Types. 1.2.2 Three-Dimensional Lattice Types.\u00a01.2.3 Index Systems for Crystal Planes and Directions.\u00a01.3\u00a0Simple Crystal Structures. 1.3.1\u00a0Sodium Chloride Structures. 1.3.2\u00a0Cesium Chloride Structures. 1.3.3\u00a0Diamond Structure. 1.3.4\u00a0Zinc Blende Structure.\u00a01.4\u00a0Problems. 2.\u00a0Reciprocal Lattice 2.1\u00a0The Bragg Diffraction Law.\u00a02.2\u00a0Reciprocal Lattice. 2.2.1 Fourier Analysis <a href=\"https:\/\/polysense.poliba.it\/index.php\/solid-state-physics\/\" rel=\"nofollow\"><span class=\"sr-only\">Leggi di pi\u00f9Solid State Physics<\/span>[&hellip;]<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1101","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/pages\/1101","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/comments?post=1101"}],"version-history":[{"count":58,"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/pages\/1101\/revisions"}],"predecessor-version":[{"id":4516,"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/pages\/1101\/revisions\/4516"}],"wp:attachment":[{"href":"https:\/\/polysense.poliba.it\/index.php\/wp-json\/wp\/v2\/media?parent=1101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}