Core Course Content
The following pages list the topical content of all core courses in Materials Science and Engineering.
Numbers describe approximate order of coverage by topics.
27100 Engineering the Materials of the Future (Introduction to Materials)
27201 The Structure of Materials
27202 Defects in Materials
27205 Materials Characterization Lab
27215 Thermodynamics of Materials
27216 Transport in Materials
27217 Phase Relations and Diagrams
27301 Microstructure and Properties I
27367 Selection and Performance of Materials
27210: Materials Engineering Essentials
27100 Engineering the Materials of the Future
(Introduction to Materials, 12 Units)
Lecture Topics
 Materials Science and Engineering: StructurePropertyProcessingPerformance; Materials Classifications.
 Atomic Structure and Bonding: Atomic Structure; Electronic Configurations and Quantum numbers; Bonding: metallic, ionic, covalent.
 Crystal Structures: Crystalline vs Amorphous Solids; Unit Cell, Lattice, and Crystal Systems; Common Cubic Crystal Systems; Packing Fractions, Density, and Close Packing; Crystallographic Directions and Planes.
 Defects: Points Defects— Composition of Alloys; Line Defects— Dislocations; Planar Defects;Volume Defects.
 Diffusion: Modes of diffusion; Activation energy: bonding and structure; Steady state and Fick's First Law; Diffusivity and Temperature.
 Phase Diagrams: Equilibrium and Other Definitions; Solutions and Solubility; Interpreting Phase Diagrams: Phases, Compositions, Relative Amounts; Simple Binary and Eutectic diagrams.
 Microstructure: Microstructure and Other definitions; Relationship to Phase Diagram and Processing; Controlling Microstructures; Equilibrium vs Nonequilibrium.
 Phase Transformations: Nucleation and Growth; Diffusion and Phase transformations;TTT or CCT diagrams; Diffusionless Transformations.
 Mechanical Properties of Materials: Stress and Strain; Deformation Modes; Yield and Fracture; Engineering Mechanical Properties.
 Deformation and Strengthening: Dislocations and slip systems; Plastic Deformation; Strengthening Mechanisms; Recovery, Recrystallization, and Grain Growth.
 Ceramics: Crystal Structures; Mechanical Properties; Processing; Applications.
 Polymers: Molecular Structures; Crystalline Structures; Glass Transition; Mechanical Properties.
 Electronic Materials: Electrical Properties; Energy Bands in Solids; MetalSemiconductorsInsulators; Semiconductors; Diodes and Transistors; Ferroelectrics and Piezoelectrics.
 Composite Materials: Particlereinforced composites; Dispersionstrengthened composites; Fiberreinforced composites; Structural composites.
Laboratories Topics
 Introduction to Materials and Fabrication
• Casting of Brass
• Rolling Casting of CoBlock Polymer
• Slip Casting of Ceramics
• Layup of Fiberglass Composite  Material Property Testing
• Tensile Testing of Metals, Polymers, and Composites
• Elastic Modulus Determination for Elastomers
• Three Point Bend Testing of Ceramics
• Determination of Glass Transition Temperature in Silicon Rubber  Mechanical Deformation, Recrystallization and Phase Transformations
• Cold Rolling and Recrystallization of Brass
• Thermal Transformations in Steels  Optical Microscopy of Cold Rolled and Recrystallized Brass
 Scanning Electron Microscopy of Fracture Surfaces
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27201 The Structure of Materials (6 + 3 Units)
Lecture Topics
 Macroscopic Properties
 Periodic Table, Energy Levels
 Different Types of Bonding
 Crystal Structures – Bravais Lattice
 Lattices, Directions & Distances
 Lattice Geometry and the Metric Tensor, Crystal Planes
 Crystal Planes and Miller Indices
 Reciprocal Space and Reciprocal Metric Tensor
 Reciprocal Space and Computations
 Stereographic Projections
 Zones and Habits
 Symmetry Operations – I
 Symmetry Operations – II
 Point Groups – I
 Point Groups – II
 Space Groups – I
 Space Groups – II
 Xray DiffractionI
 Xray DiffractionII
 Xray DiffractionIII
 Metal StructuresI
 Topologically Close Packed Phases and Quasicrystals
 Ceramic Structures
 Molecular Solids and Biomaterials
 Macromolecular Solids
 Special Topics
Laboratories Topics
 Introduction – Laboratory Safety
 Software, Hardware & Library Resources
 Carnegie Museum: Minerals and Gemstones
 Periodic Table, Solid Structures (TAPP, CrystalMaker Software)
 Plane Groups, Symmetry, Optical Diffraction
 Space Groups, Pauling’s Rules, XRay Diffraction
 XRay Diffraction
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27202 Defects in Materials (6 + 3 Units)
Lecture Topics
 Overview and Importance of Defects
Line Defects  Dislocations: crystal growth and plasticity
 Structure of dislocations: edge, screw, nonequilibrium nature
 Structure of dislocation: Burger’s Vectors
 Observation and quantification of dislocations
 Dislocation motion: sip, slip systems
 Dislocation motion: slip
 Dislocation motion: climb
 Elastic properties of dislocations
 Energy of dislocations
 Interaction of dislocations
 The origin of dislocations
 Multiplication of dislocations
Area Defects
 Area defects and dislocation arrays
 Surface energy and conceptual models
 Surface energy anisotropy: conceptual models and polar plots
 Equilibrium crystal shape: Wulff construction
 Grain boundary crystallography and structure
 Grain boundaries energies: Read Shockley Model / High angle models
 Interfacial equilibrium: angles at triple points

Point Defects
 Point defects in elemental solids: types and definition of their formation energy
 The equilibrium defect concentration in an elemental solid
 Measurements of point defects
 Point defects in compound solids: KrogerVink and defect reaction rules
 The equilibrium defect concentration of a compound solid: law of mass action
 Intrinsic electronic disorder and extrinsic doping reactions
 Nonstoichiometry and defect concentrations
 Solidgas equilibrium and defect concentrations
Laboratories Topics
 1/2 Line Defect Laboratory: Generation and Polygonization of Dislocations in Rock Salt
 3/4 Area Defect Laboratory: Density and Grain Size of Annealed TiO_{2} Polycrystalline Compacts
 5/6 Point Defect Laboratory: Electrical Conductivity of Oxygen Vacancy doped TiO_{2}
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27205 Materials Characterization Lab (3 Units)
Lecture Topics
1. Fundamentals of Materials Characterization
2. Basics of Surface Analysis by Scanning Probe Microscopy  SPM
3. Micro/nanoscale Imaging by Scanning Electron Microscopy  SEM
4. Compositional Analysis by Energy Dispersive Spectroscopy  EDS
5. Structural Analysis by Xray Diffraction and Rietveld Method  XRD
Laboratories Topics
1. Handson Training/Operation of Tabletop SEM/EDS
2. Handson Training/Operation of SPM
3. Handson Training/Operation of XRD and Rietveld methods
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27215 Thermodynamics of Materials (12 Units)
Lecture Topics
 Microstructure, phase transformations and phase diagrams
 Systems, boundaries, surroundings, equilibrium states, state functions and processes, extensive/intensive variables, reversible and spontaneous processes.
 Zeroth Law, work (W), heat (Q), internal energy (U), First Law, ideal gas, units, enthalpy (H), constant volume V) and constant pressure (P) processes
 Heat capacities and processes for ideal gases
 Thermochemistry: primarily changes in H as a function of path
 Reversible and spontaneous processes and the Second law, introduction of the state function entropy (S)
 Entropy changes due to heat transfer and production of entropy within the system
 Review different statements of the Second Law, concept of maximum work, combined statement of the First and Second Laws; introduction to partial derivatives
 Statistical mechanics, configurational entropy and the entropy of mixing
 Statistical mechanics, the Boltzman distribution, application of statistical mechanics to ideal gases
 Thermodynamic variables and relations, Maxwell relations, chemical potential, GibbsHelmholtz equation
 Conditions for equilibrium of an isolated system, of a system held at constant temperature and volume and of a system held at constant temperature and pressure
 Conditions of equilibrium for multiphase, multicomponent systems
 Heat capacities, Einstein model, Law of Dulong and Petit
 Third law of thermodynamics
 Phase equilibrium in one component systems
 Phase diagrams in one component space, Clapeyron equation, ClausiusClapeyron equation; saturated vapor pressures
 Euler's theorem, partial molar quantities, the use of Euler’s theorem to write state functions in terms of their partial molar quantities, GibbsDuhem equation
 Equations of state for real gases; thermodynamics of ideal gases
 Chemical reactions involving gases
 Chemical activity and its relation to the chemical potential and Ideal Solutions
 Nonideal and regular solutions
 Gibbs free energy (G) versus composition curves, standard states, changing standard states, tangency rule for equilibrium
 Constructing phase diagrams from thermodynamic data
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27216 Transport in Materials (9 Units)
Lecture Topics
 Course introduction
 Kinetics of homogeneous reactions
 Temperature dependency of reaction rates and analysis
 Mass transfer in solids: Random walk and Fick’s 1st law
 Diffusion coefficient (D), mechanisms of diffusion including fast paths
 Fick’s 2nd law, 1D steady state diffusion and 1D transient thin film source
 1D transient semiinfinitesolutions – Method of Laplace
 Reciprocal 1D transient semiinfinitesolutions – Method of Laplace, continued
 Diffusion in binary systemsKirkendall effect, Darken’s Analysis
 Diffusion couples with variable D – Darkens Phenomenological Analysis
 Diffusion couples with variable D – BolzmannMatano
 Diffusion mechanisms and ionmigration in ceramic materials
 Mass transport in polymers, nonFickian and anomalous diffusion and mass transport fluids and pores
 Combined mass transfer and interfacial reactions
 Heat transfer conduction  Steady state
 Heat transfer conduction  Transient solutions
 Heat transfer radiation
 Viscous properties of fluids, Equation of continuity, Navier Stoke’s equation
 Navier Stoke’s equation, pipe flow examples
 Laminar flow, boundary layer and heat transfer coefficient
 Turbulent and complex flow
 Natural convection
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27217 Phase Relations and Diagrams (9 + 3 Units)
Lecture Topics
 Review of Thermodynamics
 Phase Diagrams
• Phase Diagram Concepts and the Lever Rule
• Binary Phase Diagrams
• Development of Microstructure
• Free Energy Curves
• Calculation of Binary Phase Diagrams
• Ideal Solution Model
• The Quasichemical Model and the Regular Solution Model
• Compounds and Intermediate Phases, Solid Solutions and HumeRothery Rules
• Ternary Phase Diagrams  Phase Transformations
• Interfaces and Homogeneous Nucleation
• Nucleation and Growth, Coarsening, and the GibbsThompson Eq.
• Diffusional Transformations
• Diffusionless Transformations
Laboratories
High Temperature Ceramic Superconductor (HSTC) in the YBaCuO System: ProcessingStructureProperty Relationship
 Crystal Maker, Crystal Diffract: Unit Cells and Diffraction patterns of YBa_{2}Cu_{3}O_{7x} (superconducting phase) and Y_{2}BaCuO_{5} (pinning phase) in the YBaCuO system
 Solid State synthesis (SSS) of YBa_{2}Cu_{3}O_{7x} via powder processing (grinding, pressing, annealing)
 Preparation of SSS powder for Xray diffraction, preparation of powder samples for melt process melt growth of YBa_{2}Cu_{3}O_{7x} with Y_{2}BaCuO_{5} pinning phase, pressing and heat treatment
 Preparation of powder of the MPMG sample for xray diffraction,
 Levitation of a NdFeB magnet above the SSS and MPMG samples immersed in liquid nitrogen, levitation recorded by digital photography, preparation of SSS and MPMG samples for optical microscopy (grinding, polishing, etching)
 Group poster presentation
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27301 Microstructure and Properties I (6 + 3 Units)
Lecture Topics
 Course Overview; what is a material property?
 Coordinate transformations and tensors
 Material tensors and symmetry
 Stereology and Microstructure Measurements
 Introduction to Lab I and II
 Linear Elasticity
 Electrical and Magnetic Properties I
 Electrical and Magnetic Properties II
 Optical and NonLinear Properties
 Thermal and Other Transport Properties
 Tensor Properties in Polycrystalline Materials I
 Tensor Properties in Polycrystalline Materials II
 Strength and Ductility
 The HallPetch Effect and Creep
 Superalloys as examples of multiphase systems
 Fracture
 Transformation Toughening
 Composities
 Characterization of Microstructures
Laboratories
Coming Soon
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27367 Selection and Performance of Materials (6 Units)
Lecture Topics
 Course Introduction, Influence of Design, The Design Process
 Overview of the Design Process
 Structurally Insensitive Properties, Relationship of Moduli, Microstructural sensitive properties
 Procedure for Selection of Materials, Material Charts, Attribute Limits, and Material Indices
 Type One Hybrid Materials,
 Hybrid Materials, Type Two, Type Three, Type Four
 Uncoupled Constraints Problems
 Multiple Constraints and Objectives
 Influence of Shape, Shape Factor
 Processes, Shaping Processes, Casting
 Shaping Processes, Powder, Forging, Molding
 Rolling, Special Methods, Composite Fabrication, Joining, Mechanical Fastening, Welding
 Process selection, Ashby charts, Economics
 Risk Reliability Safety and Quality, Standards, Quality Systems
 Fracture Mechanics
 Fatigue, Failure Analysis
 Design for Wear
 Design for Thermal Conditions
 Environmentally Conscious Material Selection
 Design Attributes, Psychology of Design
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27210: Materials Engineering Essentials (6 units)
Lecture Topics
TBD
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