ECE 474: Principles of Electronic Devices. Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University
|
|
- Hannah Gray
- 5 years ago
- Views:
Transcription
1 ECE 474: Principles of Electronic Devices Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University
2 Lecture 06: Completed: Chapter 01: quantify physical structures of crystal systems that are important for devices: Cubic systems: bcc, fcc, diamond, zinc-blende Number of atoms in unit cell Lattice constant a Volume density of atoms Packing fraction Nearest neighbor distances lattice-matched compositions for devices Predicted density wafer synthesis from melt Examples of each
3 Lecture 06: Next: Quantify physical structures of crystal systems that are important for devices: Chapter 01: Cubic systems: bcc, fcc, diamond, zincblende Planes (Miller indices) & directions (orientations) Areal Density Lectures: Hexagonal nanosystems: graphene and carbon nanotubes Unit cell: Chiral and translation vectors Number of atoms Nearest neighbor distances Areal Density Examples of each
4 Lecture 06: Next: Quantify physical structures of crystal systems that are important for devices: Chapter 01: Cubic systems: bcc, fcc, diamond, zincblende Planes (Miller indices) & directions (orientations) Areal Density Lectures: Hexagonal nanosystems: graphene and carbon nanotubes Unit cell: Chiral and translation vectors Number of atoms Nearest neighbor distances Areal Density Examples of each
5 Planes and Directions: Motivation: To place a wafer order: O/R: Orientation
6 What (111), (100) and (110) are: The low index cleavage planes best cuts through the crystal Cleavage plane number of bonds to break. Inside Outside low index break minimum # good cleavage rses/347k/redesign/gem_note s/diamond/diam_anim.htm Note: If you drop and break a Silicon wafer, lots of sides will have a 35 o angle sides (red lines)
7 {111} type
8 {100} type
9 {110} type
10 The convention for assigning 1s and 0s to the planes: Miller indices (hkl) First: Clarify a general plane type versus a specific plane: {hkl} versus (hkl)
11 The {100} generic family of six specific () planes: ( 0 1 0) Left side face ( 100) Front face ( 001) ( 001) Top face Bottom face ( 1 00) Back face ( 010) Right side face p. 08 Streetman
12 The normal to a plane is its direction or orientation Clarify a general direction type versus a specific direction: <hkl> versus [hkl]
13 The <100> generic family of six specific [] directions: [ 0 1 0] [ 001] [ 100] [ 010] [ 100] [ 00 1] p. 08 Streetman
14 Now find the Miller indices (hkl) for the (100) plane. Example: is this a general type or a specific plane?
15 Now find the Miller indices (hkl) for the (100) plane. Example: is this a general type or a specific plane? Answer: a specific plane. You need a coordinate system.
16 Miller indices (hkl) for the (100) plane Intercepts reciprocal x lcd =a (hkl) X Y z lcd = least common denominator +z (hkl) = +x +y
17 Miller indices (hkl) for the (100) plane X Y z Intercepts a reciprocal 1/a 1/ = 0 1/ = 0 x lcd =a (hkl) lcd = least common denominator +z (hkl) = (100) +x +y
18 Find the direction [ ] to the (100) plane.
19 Direction to the (100) plane [100] +z +x +y
20 Intercepts reciprocal x lcd =a (hkl) X Y z What ( ) plane was this? lcd = least common denominator +z +x +y
21 X Y z What ( ) plane is this? Intercepts z 0 reciprocal 1/ 1/ 1/z 0 = 0 = 0 x lcd =z (hkl) lcd = least common denominator (hkl) = (001) +z +x +y Set origin of coordinate system at bottom and go z 0 up
22 (111) plane and its direction [ ]
23 Miller indices (hkl) for the (111) plane X Y z Intercepts a a a reciprocal 1/a 1/ a 1/a x lcd =a (hkl) z lcd = least common denominator (hkl) = (111) +x +y
24 Direction [ ] to the (111) plane: [111] +z +x +y
25 (110) plane and its direction [ ]
26 Miller indices (hkl) for the (110) plane X Y z Intercepts a a reciprocal 1/a 1/ a 1/ = 0 x lcd =a (hkl) z lcd = least common denominator (hkl) = (110) +x +y
27 Direction [ ] to the (110) plane: [110] +z +x +y
28 Lecture 06: Next: Quantify physical structures of crystal systems that are important for devices: Chapter 01: Cubic systems: bcc, fcc, diamond, zincblende Planes (Miller indices) & directions (orientations) Areal Density Lectures: Hexagonal nanosystems: graphene and carbon nanotubes Unit cell: Chiral and translation vectors Number of atoms Nearest neighbor distances Areal Density Examples of each
29 Areal Density: (100) plane Area = a 2 Areal Density 100 = 2.0/a 2 # atoms (cross sections): C 4 (1/4) = 1 F 1 (1) = 1 I 0 (1) = 0 2
30 Areal Density: (110) plane Area = a 2a = 2 a 2 Areal Density 110 = 4/( 2 a 2 ) = 2.82 / a 2 # atoms (cross sections): C 4 (1/4) = 1 F 2 (1/2) = 1 I 2 (1) = 2 4
31 Areal Density: (111) plane Equilateral triangle with all sides = 2 a Height = 2 a sin60 o 60 o 60 o 360 o 60 o 60 o Area = ½ base height = ½ ( 2 a) ( 2a sin60 o ) = ( 3/2) a 2 Areal Density 111 = 2 / [( 3/2) a 2 )] = 2.31/a 2 # atoms (cross sections): C 3 (1/6) = 1/2 F 3 (1/2) = 3/2 I 0 (1) = 0 2
ECE 474: Principles of Electronic Devices. Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University
ECE 474: Principles of Electronic Devices Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University ayresv@msu.edu Lecture 07: Quantify physical structures of crystal systems that
More information01 01 Intro to Course
ECE 474 Spring 2011 Day Date Lecture Chapter Topics M 10 Jan 01 01 Intro to Course Physical structures of crystal systems that are important for devices W 12 02 01 How to quantify physical structures of
More informationIntroduction to Solid State Physics or the study of physical properties of matter in a solid phase
Introduction to Solid State Physics or the study of physical properties of matter in a solid phase Prof. Germar Hoffmann 1. Crystal Structures 2. Reciprocal Lattice 3. Crystal Binding and Elastic Constants
More informationCrystal Structure. Dr Bindu Krishnan
Solid State Physics-1 Crystal Structure Dr Bindu Krishnan CRYSTAL LATTICE What is crystal (space) lattice? In crystallography, only the geometrical properties of the crystal are of interest, therefore
More informationActivity 5&6: Metals and Hexagonal Close-Packing
Chemistry 150 Name(s): Activity 5&6: Metals and Hexagonal Close-Packing Metals are chemicals characterized by high thermal and electrical conductivity, malleability and ductility. Atoms are the smallest
More informationPhys 460 Describing and Classifying Crystal Lattices
Phys 460 Describing and Classifying Crystal Lattices What is a material? ^ crystalline Regular lattice of atoms Each atom has a positively charged nucleus surrounded by negative electrons Electrons are
More informationELEC311( 물리전자, Physical Electronics) Course Outlines:
ELEC311( 물리전자, Physical Electronics) Course Outlines: by Professor Jung-Hee Lee Lecture notes are prepared with PPT and available before the class (http://abeek.knu.ac.kr). The topics in the notes are
More informationLecture 2. Unit Cells and Miller Indexes. Reading: (Cont d) Anderson 2 1.8,
Lecture 2 Unit Cells and Miller Indexes Reading: (Cont d) Anderson 2 1.8, 2.1-2.7 Unit Cell Concept The crystal lattice consists of a periodic array of atoms. Unit Cell Concept A building block that can
More informationCrystallographic structure Physical vs Chemical bonding in solids
Crystallographic structure Physical vs Chemical bonding in solids Inert gas and molecular crystals: Van der Waals forces (physics) Water and organic chemistry H bonds (physics) Quartz crystal SiO 2 : covalent
More informationClass 29: Reciprocal Space 3: Ewald sphere, Simple Cubic, FCC and BCC in Reciprocal Space
Class 29: Reciprocal Space 3: Ewald sphere, Simple Cubic, FCC and BCC in Reciprocal Space We have seen that diffraction occurs when, in reciprocal space, Let us now plot this information. Let us designate
More informationIntroduction to Crystal Structure and Bonding. Prof.P. Ravindran, Department of Physics, Central University of Tamil Nadu, India
Introduction to Crystal Structure and Bonding 1 Prof.P. Ravindran, Department of Physics, Central University of Tamil Nadu, India http://folk.uio.no/ravi/semi2013 Fundamental Properties of matter 2 Matter:
More informationCondensed Matter Physics Prof. G. Rangarajan Department of Physics Indian Institute of Technology, Madras
Condensed Matter Physics Prof. G. Rangarajan Department of Physics Indian Institute of Technology, Madras Lecture - 03 Symmetry in Perfect Solids Worked Examples Stated without prove to be in the lecture.
More informationMP464: Solid State Physics Problem Sheet
MP464: Solid State Physics Problem Sheet 1) Write down primitive lattice vectors for the -dimensional rectangular lattice, with sides a and b in the x and y-directions respectively, and a face-centred
More informationSemiconductor Physics and Devices
Syllabus Advanced Nano Materials Semiconductor Physics and Devices Textbook Donald A. Neamen (McGraw-Hill) Semiconductor Physics and Devices Seong Jun Kang Department of Advanced Materials Engineering
More informationThe structure of liquids and glasses. The lattice and unit cell in 1D. The structure of crystalline materials. Describing condensed phase structures
Describing condensed phase structures Describing the structure of an isolated small molecule is easy to do Just specify the bond distances and angles How do we describe the structure of a condensed phase?
More informationReport Form for Experiment 6: Solid State Structures
Report Form for Experiment 6: Solid State Structures Note: Many of these questions will not make sense if you are not reading the accompanying lab handout. Station 1. Simple Cubic Lattice 1. How many unit
More informationEE130: Integrated Circuit Devices
EE130: Integrated Circuit Devices (online at http://webcast.berkeley.edu) Instructor: Prof. Tsu-Jae King (tking@eecs.berkeley.edu) TA s: Marie Eyoum (meyoum@eecs.berkeley.edu) Alvaro Padilla (apadilla@eecs.berkeley.edu)
More informationPhys 412 Solid State Physics. Lecturer: Réka Albert
Phys 412 Solid State Physics Lecturer: Réka Albert What is a solid? A material that keeps its shape Can be deformed by stress Returns to original shape if it is not strained too much Solid structure
More informationPractice Problems Set II
P1. For the HCP crystal structure, (a) show that the ideal c/a ratio is 1.633; (b) show that the atomic packing factor for HCP is 0.74. (a) A sketch of one-third of an HCP unit cell is shown below. Consider
More informationCondensed Matter Physics Prof. G. Rangarajan Department of Physics Indian Institute of Technology, Madras
(Refer Slide Time: 00:11) Condensed Matter Physics Prof. G. Rangarajan Department of Physics Indian Institute of Technology, Madras Diffraction Methods for Crystal Structure Worked Examples Next, we have
More informationLecture Note on Crystal structures Masatsugu Sei Suzuki and Itsuko S. Suzuki Department of Physics, SUNY at Binghamton (Date: February 03, 2012)
Lecture Note on Crystal structures Masatsugu Sei Suzuki and Itsuko S. Suzuki Department of Physics, SUNY at Binghamton (Date: February 03, 2012) This is a part of lecture note on solid state physics (Phys.472/572)
More informationPhysical Chemistry I. Crystal Structure
Physical Chemistry I Crystal Structure Crystal Structure Introduction Crystal Lattice Bravis Lattices Crytal Planes, Miller indices Distances between planes Diffraction patters Bragg s law X-ray radiation
More informationFIRST MIDTERM EXAM Chemistry March 2011 Professor Buhro
FIRST MIDTERM EXAM Chemistry 465 1 March 2011 Professor Buhro Signature Print Name Clearly ID Number: Information. This is a closed-book exam; no books, notes, other students, other student exams, or any
More informationCommunications with Optical Fibers
Communications with Optical Fibers In digital communications, signals are generally sent as light pulses along an optical fiber. Information is first converted to an electrical signal in the form of pulses
More informationAtomic Arrangement. Primer Materials For Science Teaching Spring
Atomic Arrangement Primer Materials For Science Teaching Spring 2016 31.3.2015 Levels of atomic arrangements No order In gases, for example the atoms have no order, they are randomly distributed filling
More information1 Review of semiconductor materials and physics
Part One Devices 1 Review of semiconductor materials and physics 1.1 Executive summary Semiconductor devices are fabricated using specific materials that offer the desired physical properties. There are
More informationCrystal Structure and Electron Diffraction
Crystal Structure and Electron Diffraction References: Kittel C.: Introduction to Solid State Physics, 8 th ed. Wiley 005 University of Michigan, PHY441-44 (Advanced Physics Laboratory Experiments, Electron
More informationCrystal Structure. Crystalline vs. amorphous Diamond graphite soot
Crstal Smmetr Crstal Structure Crstalline vs. amorphous Diamond graphite soot Binding Covalent/metallic bonds metals Ionic bonds insulators Crstal structure determines properties Binding atomic densit
More informationDiamond. There are four types of solid: -Hard Structure - Tetrahedral atomic arrangement. What hybrid state do you think the carbon has?
Bonding in Solids Bonding in Solids There are four types of solid: 1. Molecular (formed from molecules) - usually soft with low melting points and poor conductivity. 2. Covalent network - very hard with
More information6.730 Physics for Solid State Applications
6.730 Physics for Solid State Applications Lecture 8: Lattice Waves in 1D Monatomic Crystals Outline Overview of Lattice Vibrations so far Models for Vibrations in Discrete 1-D Lattice Example of Nearest
More informationAtomic Arrangement. Primer in Materials Spring
Atomic Arrangement Primer in Materials Spring 2017 30.4.2017 1 Levels of atomic arrangements No order In gases, for example the atoms have no order, they are randomly distributed filling the volume to
More informationIntroduction to Materials Science Graduate students (Applied Physics)
Introduction to Materials Science Graduate students (Applied Physics) Prof. Michael Roth Chapter 1 Crystallography Overview Performance in Engineering Components Properties Mechanical, Electrical, Thermal
More informationCondensed Matter Physics April, 8, LUMS School of Science and Engineering
Condensed Matter Physics April, 8, 0 LUMS School of Science and Engineering PH-33 Solution of assignment 5 April, 8, 0 Interplanar separation Answer: To prove that the reciprocal lattice vector G = h b
More informationThere are four types of solid:
Bonding in Solids There are four types of solid: 1. Molecular (formed from molecules) - usually soft with low melting points and poor conductivity. 2. Covalent network - very hard with very high melting
More informationNearly Free Electron Gas model - I
Nearly Free Electron Gas model - I Contents 1 Free electron gas model summary 1 2 Electron effective mass 3 2.1 FEG model for sodium...................... 4 3 Nearly free electron model 5 3.1 Primitive
More informationFor this activity, all of the file labels will begin with a Roman numeral IV.
I V. S O L I D S Name Section For this activity, all of the file labels will begin with a Roman numeral IV. A. In Jmol, open the SCS file in IV.A.1. Click the Bounding Box and Axes function keys. Use the
More informationSurface Structure and Morphology 2D Crystallography
Surface Structure and Morphology 2D Crystallography Selvage (or selvedge (it. cimosa)): Region in the solid in the vicinity of the mathematical surface Surface = Substrate (3D periodicity) + Selvage (few
More informationKeble College - Hilary 2012 Section VI: Condensed matter physics Tutorial 2 - Lattices and scattering
Tomi Johnson Keble College - Hilary 2012 Section VI: Condensed matter physics Tutorial 2 - Lattices and scattering Please leave your work in the Clarendon laboratory s J pigeon hole by 5pm on Monday of
More informationCritical Temperature - the temperature above which the liquid state of a substance no longer exists regardless of the pressure.
Critical Temperature - the temperature above which the liquid state of a substance no longer exists regardless of the pressure. Critical Pressure - the vapor pressure at the critical temperature. Properties
More informationSemiconductor Device Physics
1 Semiconductor Device Physics Lecture 1 http://zitompul.wordpress.com 2 0 1 3 2 Semiconductor Device Physics Textbook: Semiconductor Device Fundamentals, Robert F. Pierret, International Edition, Addison
More informationIntroductory Nanotechnology ~ Basic Condensed Matter Physics ~
Introductory Nanotechnology ~ Basic Condensed Matter Physics ~ Atsufumi Hirohata Department of Electronics Go into Nano-Scale Lateral Size [m] 10-3 10-6 Micron-scale Sub-Micron-scale Nano-scale Human hair
More informationII crystal structure
II crstal structure 2-1 basic concept > Crstal structure = lattice structure + basis > Lattice point: positions (points) in the structure which are identical. > Lattice translation vector > Lattice plane
More information... 3, , = a (1) 3 3 a 2 = a (2) The reciprocal lattice vectors are defined by the condition a b = 2πδ ij, which gives
PHZ646: Fall 013 Problem set # 4: Crystal Structure due Monday, 10/14 at the time of the class Instructor: D. L. Maslov maslov@phys.ufl.edu 39-0513 Rm. 114 Office hours: TR 3 pm-4 pm Please help your instructor
More informationEE143 Fall 2016 Microfabrication Technologies. Evolution of Devices
EE143 Fall 2016 Microfabrication Technologies Prof. Ming C. Wu wu@eecs.berkeley.edu 511 Sutardja Dai Hall (SDH) 1-1 Evolution of Devices Yesterday s Transistor (1947) Today s Transistor (2006) 1-2 1 Why
More informationCRYSTAL STRUCTURE, PHASE CHANGES, AND PHASE DIAGRAMS
CRYSTAL STRUCTURE, PHASE CHANGES, AND PHASE DIAGRAMS CRYSTAL STRUCTURE CRYSTALLINE AND AMORPHOUS SOLIDS Crystalline solids have an ordered arrangement. The long range order comes about from an underlying
More informationBulk Structures of Crystals
Bulk Structures of Crystals 7 crystal systems can be further subdivided into 32 crystal classes... see Simon Garrett, "Introduction to Surface Analysis CEM924": http://www.cem.msu.edu/~cem924sg/lecturenotes.html
More informationChem 728 Introduction to Solid Surfaces
Chem 728 Introduction to Solid Surfaces Solids: hard; fracture; not compressible; molecules close to each other Liquids: molecules mobile, but quite close to each other Gases: molecules very mobile; compressible
More informationCHAPTER 2: ENERGY BANDS & CARRIER CONCENTRATION IN THERMAL EQUILIBRIUM. M.N.A. Halif & S.N. Sabki
CHAPTER 2: ENERGY BANDS & CARRIER CONCENTRATION IN THERMAL EQUILIBRIUM OUTLINE 2.1 INTRODUCTION: 2.1.1 Semiconductor Materials 2.1.2 Basic Crystal Structure 2.1.3 Basic Crystal Growth technique 2.1.4 Valence
More informationUNIT I SOLID STATE PHYSICS
UNIT I SOLID STATE PHYSICS CHAPTER 1 CRYSTAL STRUCTURE 1.1 INTRODUCTION When two atoms are brought together, two kinds of forces: attraction and repulsion come into play. The force of attraction increases
More informationChapter 12: Structures of Ceramics
Chapter 12: Structures of Ceramics Outline Introduction Crystal structures Ceramic structure AX-type crystal structures A m X p -type A m B n X p - type Silicate ceramics Carbon Chapter 12 - Ceramics Two
More information1.4 Crystal structure
1.4 Crystal structure (a) crystalline vs. (b) amorphous configurations short and long range order only short range order Abbildungen: S. Hunklinger, Festkörperphysik, Oldenbourg Verlag represenatives of
More informationExperiment 7: Understanding Crystal Structures
Experiment 7: Understanding Crystal Structures To do well in this laboratory experiment you need to be familiar with the concepts of lattice, crystal structure, unit cell, coordination number, the different
More informationStructures of Solids. Unit Cells - Not(?) Chapter 4 Ionic and Other Inorganic Solids. CHEM 462 Wednesday, September 22 T.
Chapter 4 Ionic and Other Inorganic Solids CHEM 462 Wednesday, September 22 T. Hughbanks Structures of Solids Many dense solids are described in terms of packing of atoms or ions. Although these geometric
More informationSolid State Physics 460- Lecture 5 Diffraction and the Reciprocal Lattice Continued (Kittel Ch. 2)
Solid State Physics 460- Lecture 5 Diffraction and the Reciprocal Lattice Continued (Kittel Ch. 2) Ewald Construction 2θ k out k in G Physics 460 F 2006 Lect 5 1 Recall from previous lectures Definition
More informationLN 4 IDLE MIND SOLUTIONS. N A n. vol unit cell. xa 3 (m 3 mole) AW (g mole) (g cm 3 )
LN 4 IDLE MIND SOLUTIONS 1. To do this, the equalit of the molar volume and v # unit cells mole vol unit cell N A n a 3 (m 3 mole) v atomic wt. densit AW (gmole) (gcm 3 ) is used, remembering to convert
More informationCRYSTAL STRUCTURES WITH CUBIC UNIT CELLS
CRYSTAL STRUCTURES WITH CUBIC UNIT CELLS Crystalline solids are a three dimensional collection of individual atoms, ions, or whole molecules organized in repeating patterns. These atoms, ions, or molecules
More informationS.No. Crystalline Solids Amorphous solids 1 Regular internal arrangement of irregular internal arrangement of particles
Classification of solids: Crystalline and Amorphous solids: S.No. Crystalline Solids Amorphous solids 1 Regular internal arrangement of irregular internal arrangement of particles particles 2 Sharp melting
More informationUConn ECE 4211, Semiconductor Devices and Nanostructures Lecture Week 1 January 17, 2017
UConn ECE 411, Semiconductor Devices and Nanostructures Lecture Week 1 January 17, 017 Device Operation: One of the objectives of this course is to understand operation of carrier transport in semiconductor
More informationMP464: Solid State Physics Problem Sheet
MP464: Solid State Physics Problem Sheet 1 Write down primitive lattice vectors for the -dimensional rectangular lattice, with sides a and b in the x and y-directions respectively, and a face-centred rectangular
More informationClass 27: Reciprocal Space 1: Introduction to Reciprocal Space
Class 27: Reciprocal Space 1: Introduction to Reciprocal Space Many properties of solid materials stem from the fact that they have periodic internal structures. Electronic properties are no exception.
More informationWe need to be able to describe planes and directions.
We need to be able to describe planes and directions. Miller Indices & XRD 1 2 Determining crystal structure and identifying materials (B) Plastic deformation Plastic deformation and mechanical properties
More informationChemical Bonding Ionic Bonding. Unit 1 Chapter 2
Chemical Bonding Ionic Bonding Unit 1 Chapter 2 Valence Electrons The electrons responsible for the chemical properties of atoms are those in the outer energy level. Valence electrons - The s and p electrons
More informationCHAPTER 3 THE STRUCTURE OF CRYSTALLINE SOLIDS PROBLEM SOLUTIONS
CHAPTER THE STRUCTURE OF CRYSTALLINE SOLIDS PROBLEM SOLUTIONS Fundamental Concepts.1 What is the difference between atomic structure and crystal structure? Atomic structure relates to the number of protons
More informationEECS143 Microfabrication Technology
EECS143 Microfabrication Technology Professor Ali Javey Introduction to Materials Lecture 1 Evolution of Devices Yesterday s Transistor (1947) Today s Transistor (2006) Why Semiconductors? Conductors e.g
More informationIntermolecular Forces and States of Matter AP Chemistry Lecture Outline
Intermolecular Forces and States of Matter AP Chemistry Lecture Outline Name: Chemical properties are related only to chemical composition; physical properties are related to chemical composition AND the
More informationPY2N20 Material Properties and Phase Diagrams
PY2N20 Material Properties and Phase Diagrams Lecture 10 P. Stamenov, PhD School of Physics, TCD PY2N20-10 Modern CMOS pair structure Photolithographic Process CMOS Processing Steps Cu Damascene Process
More informationLecture 11 - Phonons II - Thermal Prop. Continued
Phonons II - hermal Properties - Continued (Kittel Ch. 5) Low High Outline Anharmonicity Crucial for hermal expansion other changes with pressure temperature Gruneisen Constant hermal Heat ransport Phonon
More informationECE606: Solid State Devices Lecture 1
Network for Computational Nanotechnology (NCN) Purdue, Norfolk State, Northwestern, UC Berkeley, Univ. of Illinois, UTEP ECE606: Solid State Devices Lecture 1 Gerhard Klimeck gekco@purdue.edu Gerhard Klimeck»
More informationEN2912C: Future Directions in Computing Lecture 08: Overview of Near-Term Emerging Computing Technologies
EN2912C: Future Directions in Computing Lecture 08: Overview of Near-Term Emerging Computing Technologies Prof. Sherief Reda Division of Engineering Brown University Fall 2008 1 Near-term emerging computing
More informationMaterials Science and Engineering 102 Structure and Bonding. Prof. Stephen L. Sass. Midterm Examination Duration: 1 hour 20 minutes
October 9, 008 MSE 0: Structure and Bonding Midterm Exam SOLUTIONS SID: Signature: Materials Science and Engineering 0 Structure and Bonding Prof. Stephen L. Sass Midterm Examination Duration: hour 0 minutes
More informationIntroduction to crystallography The unitcell The resiprocal space and unitcell Braggs law Structure factor F hkl and atomic scattering factor f zθ
Introduction to crystallography The unitcell The resiprocal space and unitcell Braggs law Structure factor F hkl and atomic scattering factor f zθ Introduction to crystallography We divide materials into
More informationThe Solid State. Phase diagrams Crystals and symmetry Unit cells and packing Types of solid
The Solid State Phase diagrams Crystals and symmetry Unit cells and packing Types of solid Learning objectives Apply phase diagrams to prediction of phase behaviour Describe distinguishing features of
More informationChapter 2 Atoms, chemical bonding, material structure, and physical properties Homework Solutions
Chapter 2 Atoms, chemical bonding, material structure, and physical properties Homework Solutions Concept questions 1. The Pauli exclusion principle says that no two electrons that occupy the same space
More information3a 2. a 1 = 3a. a 2 = 3a
Physics 195 / Applied Physics 195 Assignment #4 Professor: Donhee Ham Teaching Fellows: Brendan Deveney and Laura Adams Date: Oct. 6, 017 Due: 1:45pm + 10 min grace period, Oct. 13, 017 at the dropbox
More information3-D Crystal Lattice Images
3-D Crystal Lattice Images All of the following images are crossed-stereo pairs. To view them, cross your eyes and focus. Author's note this material has been expanded and updated, and can be found at
More informationSemiconductor physics I. The Crystal Structure of Solids
Lecture 3 Semiconductor physics I The Crystal Structure of Solids 1 Semiconductor materials Types of solids Space lattices Atomic Bonding Imperfection and doping in SOLIDS 2 Semiconductor Semiconductors
More informationEGN 3365 Review on Bonding & Crystal Structures by Zhe Cheng
EGN 3365 Review on Bonding & Crystal Structures 2017 by Zhe Cheng Expectations on Chapter 1 Chapter 1 Understand materials can be classified in different ways by composition, property, application, or
More information5 Symmetries and point group in a nut shell
30 Phys520.nb 5 Symmetries and point group in a nut shell 5.1. Basic ideas: 5.1.1. Symmetry operations Symmetry: A system remains invariant under certain operation. These operations are called symmetry
More informationChapter 3. The structure of crystalline solids 3.1. Crystal structures
Chapter 3. The structure of crystalline solids 3.1. Crystal structures 3.1.1. Fundamental concepts 3.1.2. Unit cells 3.1.3. Metallic crystal structures 3.1.4. Ceramic crystal structures 3.1.5. Silicate
More information1 Crystal Structures. of three-dimensional crystals. Here we use two-dimensional examples to illustrate the concepts.
3 1 Crystal Structures A crystal is a periodic array of atoms. Many elements and quite a few compounds are crystalline at low enough temperatures, and many of the solid materials in our everyday life (like
More informationChapter 12: Structures & Properties of Ceramics
Chapter 12: Structures & Properties of Ceramics ISSUES TO ADDRESS... Bonding and structure of ceramic materials as compared with metals Chapter 12-1 Atomic Bonding in Ceramics Bonding: -- Can be ionic
More informationFrom Atoms to Materials: Predictive Theory and Simulations
From Atoms to Materials: Predictive Theory and Simulations Week 3 Lecture 4 Potentials for metals and semiconductors Ale Strachan strachan@purdue.edu School of Materials Engineering & Birck anotechnology
More informationM.S. Dresselhaus G. Dresselhaus A. Jorio. Group Theory. Application to the Physics of Condensed Matter. With 131 Figures and 219 Tables.
M.S. Dresselhaus G. Dresselhaus A. Jorio Group Theory Application to the Physics of Condensed Matter With 131 Figures and 219 Tables 4) Springer Contents Part I Basic Mathematics 1 Basic Mathematical Background:
More informationENGR 151: Materials of Engineering MIDTERM 1 REVIEW MATERIAL
ENGR 151: Materials of Engineering MIDTERM 1 REVIEW MATERIAL MIDTERM 1 General properties of materials Bonding (primary, secondary and sub-types) Properties of different kinds of bonds Types of materials
More informationStructure of Crystalline Solids
Structure of Crystalline Solids Solids- Effect of IMF s on Phase Kinetic energy overcome by intermolecular forces C 60 molecule llotropes of Carbon Network-Covalent solid Molecular solid Does not flow
More informationCrystals Statics. Structural Properties. Geometry of lattices. Aug 23, 2018
Crystals Statics. Structural Properties. Geometry of lattices Aug 23, 2018 Crystals Why (among all condensed phases - liquids, gases) look at crystals? We can take advantage of the translational symmetry,
More informationAnalytical Methods for Materials
Analytical Methods for Materials Lesson 15 Reciprocal Lattices and Their Roles in Diffraction Studies Suggested Reading Chs. 2 and 6 in Tilley, Crystals and Crystal Structures, Wiley (2006) Ch. 6 M. DeGraef
More informationQuantum Condensed Matter Physics Lecture 4
Quantum Condensed Matter Physics Lecture 4 David Ritchie QCMP Lent/Easter 2019 http://www.sp.phy.cam.ac.uk/drp2/home 4.1 Quantum Condensed Matter Physics 1. Classical and Semi-classical models for electrons
More informationEverything starts with atomic structure and bonding
Everything starts with atomic structure and bonding not all energy values can be possessed by electrons; e- have discrete energy values we call energy levels or states. The energy values are quantized
More information3-month progress Report
3-month progress Report Graphene Devices and Circuits Supervisor Dr. P.A Childs Table of Content Abstract... 1 1. Introduction... 1 1.1 Graphene gold rush... 1 1.2 Properties of graphene... 3 1.3 Semiconductor
More informationSolids. properties & structure
Solids properties & structure Determining Crystal Structure crystalline solids have a very regular geometric arrangement of their particles the arrangement of the particles and distances between them is
More informationECE 474: Principles of Electronic Devices. Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University
ECE 474: Principles of Electronic Devices Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University ayresv@msu.edu Lecture 14: Chp. 03 Introducing a new way to understand current
More informationChapter 2. Atomic Packing
Chapter 2. Atomic Packing Contents 2-1. Packing of directional bonding atoms 2-2. Packing of indirectional bonding in same size atoms 2-3. Packing of indirectional bonding in different size atoms 2-4.
More informationBravais Lattice + Basis = Crystal Structure
Bravais Lattice + Basis = Crystal Structure A crystal structure is obtained when identical copies of a basis are located at all of the points of a Bravais lattice. Consider the structure of Cr, a I-cubic
More informationCrystal Structure and Chemistry
Crystal Structure and Chemistry Controls on Crystal Structure Metallic bonding closest packing Covalent bonding depends on orbital overlap and geometry Ionic bonding Pauling s Rules Coordination Principle
More informationChapter Outline: Ceramics. Chapter 13: Structure and Properties of Ceramics
Chapter Outline: Ceramics Chapter 13: Structure and Properties of Ceramics Crystal Structures Silicate Ceramics Carbon Imperfections in Ceramics Optional reading: 13.6 13.10 University of Virginia, Dept.
More informationUnit wise Marks Distribution of 10+2 Syllabus
Unit wise Marks Distribution of 10+2 Syllabus S.No Unit Name Marks 1 I Solid State 4 2 II Solutions 5 3 III Electro Chemistry 5 4 IV Chemical Kinetics 5 5 V Surface Chemistry 4 6 VI General Principles
More informationLecture 16, February 25, 2015 Metallic bonding
Lecture 16, February 25, 2015 Metallic bonding Elements of Quantum Chemistry with Applications to Chemical Bonding and Properties of Molecules and Solids Course number: Ch125a; Room 115 BI Hours: 11-11:50am
More informationPhysics 140A WINTER 2013
PROBLEM SET 1 Solutions Physics 140A WINTER 2013 [1.] Sidebottom Problem 1.1 Show that the volume of the primitive cell of a BCC crystal lattice is a 3 /2 where a is the lattice constant of the conventional
More information1 8 =1 8 8 =1 6 =3. Unit cell Atoms at corner Atoms at faces Atoms at centre. Total no. of atoms per unit cell. bcc. fcc
Q. No. Amorphous substances show () Short and long range order (2) Short range order (3) Long range order (4) Have no sharp M.P. Option and 3 are correct Option 2 2 and 3 are correct Option 3 3 and 4 are
More information