• Materials Physics
    • School of Materials Science & Engineering
    • Credit. 4
    • MT319
    • WILL BEGIN
    • Fall , 2017
    • 363
    • Course Description:
    • ( Exchange Programme )
    • Basic principles of modern physics and quantum mechanics as pertain to solid state physics and the physical behavior of materials on the nanometer scale. Applications to solid state materials will be emphasized on those topics including semiconductors, thermal capacity, electric conductivity, optical and electronic responses, et al.
    • Course Syllabus:
    • Section 1: Crystal Structure
      Topics: Bravais Lattice; Primitive cell; Conventional Cell; Symmetry Operations; Fundamental Types of Lattices; Lattice Arrays and Planes; Miller Indices; Characteristics of Cubic Lattice; Close Packing; Simple Crystal Structures
      Lectures:
      1.1 Periodicity of Crystal Structure
      1.2 Symmetry of Lattice
      1.3 Index System for Crystal Planes
      1.4 Simple Crystal Structures
      1.5 Direct Imaging of Atomic Structure
      1.6 Crystal structure of the Elements
      Section 2: Wave Diffraction and the Reciprocal Lattice
      Topics: Incident Waves; Bragg Law; Fourier Analysis; Reciprocal Lattice; Diffraction Conditions; Scattered Wave Amplitude and Structure Factor; X-ray Diffraction Methods; Construction of Brillouin Zone; Reciprocal Lattice to bcc Lattice; Reciprocal Lattice to fcc Lattice
      Lectures:
      2.1 Diffraction of Waves by Crystals
      2.2 Scattered Wave Amplitude
      2.3 Brillouin Zones
      Section 3: Crystal Binding
      Topics: Interaction Energy between Atoms; Cohesive Energy and Lattice Energy; Elastic Constants Related with Cohesive Energy; Van der Waals-London Interaction; Repulsive Interaction; Cohesive Energy and Lattice Constants; Electrostatic or Madelung Energy; Madelung Constant; Covalent Bond; Covalent Crystals; Metallic Bonding; Characteristics of Metals
      Lectures:
      3.1 Cohesive Force and Cohesive Energy
      3.2 Crystal of Inert Gases
      3.3 Ionic Crystals
      3.4 Covalent Crystals
      3.5 Metals
      3.6 Hydrogen Bonds
      3.7 Atomic Radii
      Section 4: Crystal Vibration
      Topics: The Equation of Motion; Lattice Wave and Dispersion Relation; Group Velocity; Periodic Boundary Conditions; The Dispersion Relation; Optical and Acoustical Waves; Density of States in Two and Three dimensions; Phonon Momentum; Phonon-Neutron Interaction
      Lectures:
      4.1 Vibration of Crystal with Monatomic Basis
      4.2 Two Atoms per Primitive Basis
      4.3 Quantization of Elastic Waves
      4.4 Inelastic Scattering by Phonons
      Section 5: Thermal Properties
      Topics: Phonon Heat Capacity; Debye Model; Einstein Model; Thermal Expansion; Thermal Conductivity; Phonon-Phonon Interaction.
      Lectures:
      5.1 Phonon Heat Capacity
      5.2 Anharmonic Crystal Interactions
      Section 6: Introduction to Quantum Mechanics
      Topics: The Schrodinger Equation; The Statistical Interpretation; Probability; Normalization; Momentum; The Uncertainty Principle; Stationary States; The Infinite Square Well; The Harmonic Oscillator; The Free Particle; The Delta-Function Potential; The Finite Square Well
      Lectures:
      6.1 The Wave Function
      6.2 Time-Independent Schrodinger Equation
      Section 7: Free Electron Fermi Gas
      Topics: The Sommerfeld’s Model of Free Electrons; An Electron in Free Space; The Wave functions and Energy States; The Fermi Energy; The Fermi-Dirac Distribution; The Energy States of Free Electrons; The Ground State of Electron Gas; The density of States; Qualitative Estimation; Electronic Heat Capacity at low Temperature; Heat Capacity of Metals at Low Temperature; Classical Theory of Electrical Conduction Process in Metals; Quantum theory of Electrical Conductivity and Ohm’s Law; Electrical Resistivity of Metals; Hall Effect; Thermal Conductivity of Metals; Ratio of Thermal to Electrical Conductivity
      Lectures:
      7.1 Free Electron Gas Model
      7.2 Energy Level in One Dimension
      7.3 Free Electron Gas in Three Dimensions
      7.4 Heat Capacity of the Electron Gas
      7.5 Electrical Conductivity and Ohm’s Law
      7.6 Motion in Magnetic Fields
      7.7 Thermal Conductivity of Metals
      Section 8: Energy Band
      Topic: Bloch Theorem; Proof of the Bloch Theorem; Bloch Waves; Crystal Momentum of an Electron; Weak Perturbation Approximation; Origin of the Energy Gap; Wave Equation; Solution of the Central Equation; Approximate Solution Near a Zone Boundary; Empty Lattice Approximation; Energy Bands in Three Schemes; Energy Gap; Number of Orbitals in a Band; Electron Effective Mass in Crystals; Metals and Insulators
      Lectures:
      8.1 Wave Equation of Electron in a Periodic Potential
      8.2 Restatement of the Bloch Theorem
      8.3 Nearly Free Electron Model
      8.4 Kroning-Penney Model
      8.5 Electron in a General Periodic Potential
      8.6 The Energy Bands and Density of States
      Section 9: Semiconductors
      Topic: Band Structure Measurement with EELS; Band Structure and Optical Properties; Energy Band and Intrinsic Carrier; Impurity States and Impurity Conductivity; Semiconductor Applications; Construction of Fermi Surfaces in Metals
      Lectures:
      9.1 Band Structure of Real Lattice
      9.2 Semiconductor Crystals
      9.3 Semimetals
      9.4 Fermi surfaces of Metals
    • Schedule:
    • Crystal Structure 6 lectures
      Crystal Diffraction 6 lectures
      Crystal Binding 6 lectures
      Lattice Vibration 9 lectures
      Thermal Properties 9 lectures
      Quantum Mechanics 12 lectures
      Fermi Gas 9 lectures
      Energy Band 12 lectures
      Semiconductor 3 lectures
  • Reading list
  • Other Materials
  • Discussion
  • Homework download/submit
    • Hang Tao
    • Associate Professor
    • Read more
    • Male
    • E-mail:
    • hangtao@sjtu.edu.cn
    • Profile
    • Dr. Hang received his bachelor (2004) and doctor (2010) degree in materials science from Shanghai Jiao Tong University. From 2007 to 2008, he was involved in a joint Ph.D. Program at the University of Michigan, USA. And from 2010 to 2013, he worked as an assistant professor at Waseda University, Japan. Currently he serves as an associate professor in the School of Materials Science and Engineering, Shanghai Jiao Tong University.
      Dr. Hang's research work is based on a strategy from electrochemical nanotechnology. His group is now trying to create new and highly functional thin film materials based on a philosophy that the importance of electrochemistry from its potential to create new electronics products and energy devices.
    • 顾佳俊
    • Professor
    • Read more
    • Male
    • E-mail:
    • gujiajun@sjtu.edu.cn
    • Profile
    • Biographical Information

      Dr. Jiajun Gu received his B. E and Ph. D degrees from Shanghai Jiao Tong University (SJTU) in 1996 and 2005, respectively. During 2001-2003, He spent 18 months studying at Kyoto University, Japan (Monbusho Scholarship). He started his research career with the team of Morphogenetic Materials headed by Prof. D. Zhang at Shanghai Jiao Tong University in 2005, and is presently a professor at SJTU.

      In the past five years, Dr. Jiajun Gu has published more than 30 peer-reviewed papers in Adv. Mater., Angew. Chem., Adv. Funct. Mater., J. Mater. Chem., Langmuir, Appl. Phys. Lett., and Phys. Rev. B, et al. His research interests mainly focused on the bio-inspired functional materials and solutions, either in designing and preparing novel structures, or in exploring the chemical and physical mechanisms of the synthesized products.



      Selected publications

      1. J. J. Gu, W. Zhang, H. L. Su, T. X. Fan, S. M. Zhu, Q. L. Liu, D. Zhang*, “Morphology Genetic Mater
    • 余宁
    • Read more
    • Male
    • E-mail:
    • Profile
  • Prerequisite Course:

    College Physics, Thermodynamics of Materials, Engineering Mathmatics

  • Textbooks:

    1. C.Kittel, Introduction to Solid State Physics. 8th edition, John (Wiley & Sons, Inc. 2005). (Buy from )
    2. David J. Griffiths, Introduction to Quantum Mechanics, 2nd edition, (Pearson Prentice Hall, 2004). (Buy from )
  • Grading:

    Assignment 30%
    Final Exam 70%
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