# Courses

Faculty in the Materials Science and Engineering doctoral program are committed to providing depth of understanding in their specialty, while recognizing the challenges facing students outside of their home science and engineering disciplines. Instructors in this program welcome the challenge of teaching across disciplines and the opportunities these classrooms present for stimulating questions and widely ranging class discussions.

Under the guidance of the faculty advisor in the host department, **students must select three courses (9 credit hours total) from the following courses approved for the MSE degree**. Two of the three courses must be outside of the student's home department. Each academic department determines whether these credits are electives or additional courses.

### Material Structure – Soft, hard, and heavy matter

**CBE 60561 – Structure of Solids. **This class seeks to provide students with an understanding of the structure of solids, primarily as found in metals, alloys, and ceramics applied in technological applications. The structure of crystalline solids on the atomic level as well as the microstructural level will be discussed. Imperfections in the arrangements of atoms will be described, especially as regards their impact on properties. The study of structure through X-ray diffraction will be a recurring theme. A sequence of powder diffraction laboratory experiments (four to five class periods) also will be included.

**CHEM 60618 – Chemical Crystallography. **This course covers the theoretical and practical aspects of Small Molecule X-ray Crystallography. There will be both lecture and laboratory sessions with this course. Topics covered include: crystal growth, the diffraction experiment, space group analysis, symmetry, structure solution and refinement, powder diffraction, use of typical software for diffraction studies. The laboratory session will cover the practical aspects of crystal selection and the use of X-ray diffractometers.

**CHEM 60438 – Polymer: Principle to Practice. **This course offers the basic physical and organic chemistry knowledge in polymerization reactions. Topics to be covered include mechanisms of polymerization reactions; polymerization kinetics and thermodynamics; relationship of physical properties to structure and composition; correlations of applications with chemical constitution; functional polymers for medicines and electronics. The course is recommended for students with special interest in polymer materials and future plan on polymer research and professional studies.

**CE 60382 – Actinide Chemistry. **This course is intended to provide students with a basic understanding of the fundamental chemical and physical properties of actinide elements. Lectures will focus on solution chemistry, bonding, kinetics, and thermodynamics in the context of the behavior of actinides in the environment and within the nuclear fuel cycle. Particular emphasis will be placed on solution chemistry of the actinides and interactions at the solid-water interface.

**CBE 60457 – Polymer Science & Engineering. **This course is an intermediate level introduction to the fundamental chemistry and physics of polymer materials. The course is designed to meet the needs of students in all science and engineering disciplines who are interested, or already engaging in polymer related research. The lectures will focus on the underlying concepts and principles in polymer materials, emphasizing the interrelationships between synthesis, structure, processing, properties and performance, and demonstrate them in the context of their everyday use as well as real-world advanced engineering applications. Major topics in polymer chemistry, physics and engineering will be covered including: general introduction of polymers, major classes of polymerization reactions and kinetics, microstructure and morphology, polymer properties (thermal, mechanical, etc.), polymer thermodynamics, polymer characterization techniques, and plastics engineering and processing methods. The successful students will emerge from the course with a current, sound knowledge of polymer concepts and an ability to apply them in career situations.

**CBE 60725 - Principles of Molecular Engineering. **The objective of this course, intended for both upper level undergraduate and graduate students, is to illustrate the emerging field of molecular engineering. By fusing concepts from chemistry and materials science, molecular engineering seeks rational design of chemical building blocks for organized systems and materials. Students will gain a fundamental perspective for how non-covalent interactions and designed molecular motifs can dictate the structure, function, and properties of resulting engineered systems. This will include an appreciation for the role on intermolecular forces in governing the behavior of these molecules as they interact with each other and with their environment (typically a solvent). Additionally, illustrative examples will point to the power of strategies rooted in principles of molecular engineering to create highly controlled and functional materials. topics will include: non-covalent interactions, molecular design, thermodynamic driving forces, solvent effects, molecular self-assembly, supramolecular chemistry, molecular & materials characterization techniques, and applications of molecular engineering for diverse uses in energy, medicine, computing, formulation science, industrial applications, and food sciences.

### Nanostructure Materials

**CBE 60577 – CHEM 60577 - Nanoscience and Technology.** This course focuses on the unique scientific phenomena that accrue to matter with characteristic nanometer-scale dimensions and on the technologies which can be constructed from them. Special optical, electronic, magnetic, fluidic, structural and dynamic properties characteristic of nanostructures will be addressed. Demonstration of the characterization techniques, including scanning electron microscopy (SEM), transmission electron microscopy (TEM), energy dispersive analysis (EDS) and others is an important part of the course.

**AME 60679 – Nanoparticles in Biomedicine. **Nanoparticle science and engineering will be introduced including the processing (synthesis and surface modification), structure (physical and molecular), and functional properties (biological, electrical, magnetic, mechanical, optical, X-ray, etc.) that enable biomedical applications in drug delivery, imaging, sensing, and tissue regeneration.

### Solid State Materials

**AME 60733-01 - Solar Energy: Photovoltaic Systems.** This is an interdisciplinary course which covers basic science and engineering applications of solar cell technologies. The course is divided into two modules: the properties of sunlight, which is the source of energy, and solar cells themselves. In the first module the students learn about the sun resources, characteristics of sunlight, tracking the sun, optimizing the tilt of solar panels for different seasons and performing solar site obstacle survey. The second module introduces the students to a solar cell design principles including review on semiconductor properties and p-n junction device operation, optical and electrical design of a solar cell, solar cell interconnection and fabrication of a solar panel. The course will also examine next-generation solar cell concepts.

**EE 60556 – Fundamentals of Semiconductor/Physics. **Treatment of the basic principles of solids. Topics include periodic structures, lattice waves, electron states, static and dynamic properties of solids, electron-electron interaction transport, and optical properties.

**EE 60576 – Electronic and Photonic Materials**

Principles of materials science applied to materials issues in fabrication, operation, and reliability of microelectronic devices.

**PHYS 50501 – Intro to Solid State Physics.** The course is intended to introduce the principles of the behavior electrons and phonons in solids, advanced concepts and applications, such as low-dimensional systems and superconductivity, and set the conceptual framework needed for future study and graduate research in condensed matter physics or technology-related industry. Topics will include: crystal structure and diffraction, phonons and heat capacity, free electron gas and elementary band theory, semiconductors, magnetism, and superconductivity.

**CBE 60435 – CHEM 60435 - Electrochemistry and Electrochemical Engineering. **This course addresses the fundamentals and applications of technologies that rely on heterogeneous electron transfer reactions. The first part of the course addresses fundamental aspects of electron transfer reactions at electrified interfaces, including band structure of metals and semiconductors, electrochemical potentials, electron transfer kinetics and Marcus theory, potential step and potential sweep experiments, hydrodynamic electrochemistry, potentiometry and ion-selective electrodes, impedance measurements, and electrochemical instrumentation. The second part of the course addresses applications to energy storage (batteries, fuel cells, supercapacitors), energy conversion (photovoltaics), bioelectrochemistry, including neurochemistry, corrosion, and electrolysis and electroplating.

**EE 87039 – Quantum Optics and Nanophotonics**

This course will introduce quantum optics and nanophotonics, emphasizing the foundation of these two fields. The material will include quantization of the electromagnetic field, quantum states of light, light-matter interactions, plasmonics, metamaterials, and recent advances that merge the fields of quantum optics and nanophotonics.

**EE 80688 – Advanced Solid State Physics**

This course will provide advanced discussion of interactions that are fundamental to solid state and semiconductor systems for graduate students. Topics that will be covered: free-electron theories, electrons in weak periodic potentials, tight-binding, phonons, semi-classical models for electron dynamics, beyond the relaxation-time approximation, dielectric properties of insulators, and magnetism. While there are no prerequisites for the course, students are expected to have a working knowledge of quantum mechanics and introductory semiconductor or condensed matter physics.

**EE 80656 – Advanced Semiconductor Physics**

The class will provide graduate students with a solid understanding of the basic underlying physics of semiconductors that lead to practical applications. Starting from a review of quantum mechanics and specifically perturbation theory, we will cover electronic bandstructure, electron-photon and electron-phonon interactions, charge scattering by defects and transport, and optical properties of semiconductors. Quantum confinement effects in optical devices, ballistic transistors, and tunneling FETs will be covered. The modern bottom-up approach to electronic properties from the non-equilibrium Green's functions will be covered. Topics 1) Recap of quantum mechanics 2) Formulation of the transport problem: Electric current 3) Ballistic transport and nanoscale FETs 4) Time-independent perturbation theory 5) Electron bandstructure and quantized states 6) Time-dependent perturbation theory 7) Electron-photon interactions, optical properties, LEDs and Lasers 8) Electron-phonon interaction and scattering 9) Electron-defect interaction and scattering 10) Mobility, drift-diffusion, quasi-ballistic FETs 11) High-field phenomena: Tunneling transport and tunnel-FETs 12) Bottom-up approach to transport: Non-Equilibrium Green's Function (NEGF) approach.

**PHYS 90507 – Topology and Dirac Fermions in Condensed Matter**

This course is an introduction to the burgeoning field of topological and Dirac matter. It covers the following topics: Dirac, Weyl and Majorana fermions, the Jackiw-Bell solution to the Dirac equation, the Berry phase, topological invariants, the band structure of graphene and experimental proofs of its Dirac nature, toy models of topological systems (Kane-Mele, Su-Schrieffer-Heeger, ..., realistic topological materials and their band structure, experimental observables of non-trivial topology (quantum spin Hall effect, band-inversion, ...).

### Emergent Phenomena at Surfaces and Interfaces

**CBE 60625 – Principles of Heterogeneous Catalysis.** This course will provide a comprehensive overview of heterogeneous catalysis with particular focus on catalyst synthesis, modern characterization techniques, kinetics, and reaction mechanisms for energy-related applications. Emphasis will be placed on 1) understanding the synthesis and properties of a variety of solid catalysts including carbides, phosphides, zeolites, bimetallic catalysts, tethered catalysts, and metal-organic frameworks, and 2) in-situ/operando techniques to aid in the design of new materials.

**CE 60300**** – Geochemistry. **An introduction to the use of chemical thermodynamics and chemical kinetics in modeling geochemical processes. Special emphasis is placed on water-rock interactions of environmental interest.

**CE 60635 - High-Temperature Geochemistry. **This course examines the generation and evolution of magma from a physicochemical standpoint. Using actual geochemical datasets and samples in conjunction with research papers will allow the student to develop the skills for formulating petrogenetic models that are thermodynamically viable. These skills will be used in their individual research projects. The student is evaluated by two exams, weekly homework assignments, and a research paper.

**EE 60568 – Fundamentals of Photonics. **The fundamental physics and engineering of photonic devices will be explored in this class. We will start with Maxwell's equations and study light propagation and interaction with materials, diffraction theory, photon statistics, waveguides, lasers, and optoelectronics. Experience with vector calculus, frequency domain (Fourier) analysis, and previous coursework in electromagnetism are strongly recommended. Appropriate for both graduate students and advanced undergraduate students.

### Biomaterials

**AME 50571 – Structural Aspects of Biomaterials. **Structure and mechanical functions of load bearing tissues and their replacements. Natural and synthetic load-bearing biomaterials for clinical applications are reviewed. Biocompatibility and host response to structural implants are examined. Quantitative treatment of biomechanical issues related to design of biomaterial replacements for structural function. Material selection for reconstructive surgery is addressed. Directions in tissue engineering are presented.

**AME 60672 – Cell Mechanics. **The effects of mechanical loading on cells are examined. Mechanical properties and material structure of cell materials are reviewed. Filaments, filament networks and membranes are examined. Mechanics of flow induced effects, adhesion cell-substrate interactions, and signal transduction are examined. Experimental techniques are reviewed.

**CBE 60888 – Cellular and Physical Principals of Bioengineering. **This course covers the breakdown of biological systems at molecular, cellular and tissue levels. It evolves to the design and synthesis of biomaterials at a molecular scale used in manipulating and targeting biological systems, including biotechnology and biomedical engineering. For these purposes, we will learn what is inside a cell, molecular machines, nerve impulses, binding thermodynamics and kinetics in biological systems, chemical forces and molecular self-assembly.

### Materials Characterization

**CHEM 60532 – Optical Spectroscopy. **Principles and applications of spectroscopic measurements and instrumentation. Atomic and molecular absorption, emission, fluorescence, and scattering, emphasizing physical interpretation of experimental data.

**CBE 60727 – CHEM 60727 – Ambient methods for Surface Characterization. **This course develops fundamental principles for characterizing surfaces and interfaces, particularly thin films, using infrared spectroscopy, ellipsometry, electrochemistry, and contact angle measurements. The material will cover reflection of light from surfaces, which is relevant to surface infrared spectroscopy, surface plasmon resonance and ellipsometry, surface energies, adsorption isotherms, and some fundamental aspects of electrical double layers, zeta potentials, and mass transport in electrochemistry.

**CBE 80603, EE 80603 – Transmission Electron Microscopy. **Course is an introduction to the fundamental basis and operations of transmission electron microscope and is required for all students who plan using the TEM in their research. Goals: The course goal is for the students to become competent, research-level experts in transmission electron microscopy. They will understand the functions of the TEM and how it works. They will be competent in basic operating techniques, and ready to learn more advanced ones as needed There will be a lectures (2 per week) and laboratory demonstration (3 hours/week). Topics will include: Electro-optics of the TEM - Image formation and imaging modes - Diffraction theory and Diffraction patterns - Dark and bright field imaging - Image interpretation - High resolution microscopy and Lattice imaging - Sample preparation.

### Materials Processing

**EE 60546 – I C Fabrication. **This course introduces the students to the principles of integrated circuit fabrication. Photolithography, impurity deposition and redistribution, metal deposition and definition, and other topics. Students will fabricate a 5000 transistor CMOS LSI circuit.

**CBE 60910 – Materials Processing (CRN 29702). **This course covers a limited number of materials processing techniques used by materials researchers as well as industrial manufacturers. The primary areas to be covered include thin film processing, fine ("nanoscale") particle processing, crystal growth, and a few selected ceramics processing techniques. Within each of these areas various techniques will be discussed, with both the theoretical and practical aspects being described.

### Computational Modeling

**PHYS 60050 – Computational Physics. **This course will provide a basic foundation in the skills and knowledge needed for computational physics. The course has three major parts: (1) Programming basics, with Python; (2) algorithms and methods, frequently used in computational physics and (3) physics projects for turning numerical calculations into solutions to real problems. Topics will include foundations of programming, principles of numerical analysis, interpolation and extrapolation, methods for solving ordinary and partial differential equations, random processes, Markov Chains, basic statistics, graphical representations. Applications include problems from classical physics (mechanics, electrodynamics), statistical mechanics, nuclear physics, basic network science and machine learning. The main goal of this course is to introduce the students to computational thinking in solving physics problems. In that sense this is not a numerical analysis math course but a course about how to tackle a physics problem with a computer, how to perform computational "experiments" to answer questions about a physical system.

**CBE 60547 – Modern Methods in Computational Molecular Thermodynamics and Kinetics. **This course will introduce the basis of modern approaches to computing the thermodynamics and kinetics of gas-phase, condensed-phase, and surface chemical reactions from first principles. Quantum chemical wavefunction and density functional approaches for treating the electronic structure of molecules, solids, and surfaces will be described. Optimization methods and statistical mechanical techniques for determining structures, spectroscopies, and thermodynamic and kinetic properties will be covered. Software for calculating these properties will be introduced and applied in hands-on exercises and a class project.

**CBE 60553 – Advanced Chemical Engineering Thermodynamics. **This course is focused on an advanced treatment of thermodynamic concepts. An introduction to molecular thermodynamics is given, followed by detailed treatments of phase equilibrium, equation-of-state development and activity coefficient models.

**CBE 60642 – Molecular Thermodynamics.** This course examines advanced topics in thermodynamics and statistical mechanics, including phase transitions, lattice models, renormalization group theory, critical phenomena, physical meaning and interpretation of correlation functions, classical partition functions and collective variables, liquid theory, molecular simulations of fluids and ordered phases, structure and dynamics of complex media, and supercooled and glassy materials.

**AME 60649 – Molecular Level Modeling for Engineering Applications. **This graduate level course is intended for engineering graduate students with interests in the simulation of materials and studying their properties at the molecular level using different atomistic simulations techniques. This course will introduce basics of statistical thermodynamics and classical Monte Carlo and molecular dynamics simulations. With the fundamentals, students will learn how to use the knowledge and techniques to study engineering problems such as mass diffusion and heat transfer. It will also emphasize hands-on exercises in which student will use these techniques to model different materials including gas, liquid, solid, the phase transition among these different phases. Structural, flow and thermal properties of materials will also be studied. Students will be required to program their own code for small projects and will be using open source software, such as LAMMPS, for larger projects.

### Quantum Mechanics

**EE 60587 – Quantum Mechanics for EE. **The course focuses on those aspects of quantum theory that are of particular relevance to electrical engineering. It is intended to give seniors and first-year graduate students a working knowledge of quantum mechanics at a level sufficient to illuminate the operation of standard and advanced quantum devices. Topics include classical mechanics versus quantum mechanics, early quantum theory, Schrödinger formulation, time-dependent and time-independent Schrödinger equation, Dirac formulation, Bloch theorem, magnetic effects, open quantum systems, and density matrices.

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