EMA5001 Lecture 2 Interstitial Diffusion & Fick s 1 st Law. Prof. Zhe Cheng Mechanical & Materials Engineering Florida International University
|
|
- Tyler Tate
- 5 years ago
- Views:
Transcription
1 EMA500 Lecture Interstitial Diffusion & Fick s st Law Prof. Zhe Cheng Mechanical & Materials Engineering Florida International University
2 Substitutional Diffusion Different possibilities Exchange Mechanis Vacancy Mechanis A A A A A A A A A A May occur on surface Higher activation energy Far ore coon in solids Lower activation energy Features of substitutional diffusion via vacancy echanis Size of diffusing atos/ions: siilar to surrounding atrix ato/ion size Successful juping rate deterined by Frequency of jup attepts (theral activation), & Availability of vacancy (concentration)
3 3 Interstitial Diffusion Atos/ions at interstitial sites -D 3-D (Octahedral) Interstitial sites Features FCC CC Size of diffusing atos/ions - Much saller than surrounding (atrix) atos/ions C diffusing through Fe: r C ~ 70 p vs. r Fe ~ 40 p Cu diffusing through Si: r Cu+ = ~77 p vs. r Si ~ 0 p Successful juping rate for dilute solid solution - Deterined by theral activation alone as neighboring interstitials typically are rarely occupied
4 Interstitial Diffusion as a Rando up Process () 4 Dilute interstitial solid solution of in A - average successful jup frequency (in unit of sec - ) of interstitial ato n area (nuber) density of in plane () n area (nuber) density of in plane () () () In unit tie, flux of, fro plane () to () fro plane () to () n n Net flux of along x direction: ( n n ) in unit of - sec - x Introduce as jup distance of plane () fro (). For siple cubic lattice, volue concentration (in unit of -3 ) C at position () n n C () C () and () will be
5 Interstitial Diffusion as a Rando up Process () 5 Continue fro p4 C () C Since both lattice constant and Then () Define diffusion coefficient C ( ) C () C x C () C () D C ( ) C () are very sall, C C x () C () D in unit of /sec x C We have D C x Fick s st Law
6 Other Considerations Diffusion C x Ipacts of lattice structures D Other cubic lattice (e.g., FCC, CC) - still applicable (need soe derivation) Non-cubic - D different along different crystal directions Ipacts of solute concentration D Assuption: D constant for sall difference in concentration Over large concentration range: D different for different solute concentration D C in -Fe at 000 o C is /s at 0.5wt% carbon and /s at.4wt% Estiation of interstitial atos jup frequency -Fe, FCC structure, lattice constant 0.37 n, jup distance n At 000 o C, D = /s. Answer: ) What is estiated successful jup frequency? ) One in how any attepts succeeds with a jup? Successful jup frequency: C =. x0 9 /s Lattice vibration frequency: C = /K (000+73) K /( s) =. x0 3 /s (fro kt = h) C / C = 0-4, one in 0,000 jup successful a / 0.
7 Theral Activation of Interstitial Diffusion () 7 Activation energy Migration energy barrier G Proportion of high energy atos Portion of atos with energy higher than ean/equilibriu energy by G ( for igration) G exp RT up frequency - Theral vibration frequency (successful) jup frequency will be G G exp RT G x
8 8 S D exp R Define Frequency factor D Theral Activation of Interstitial Diffusion () up frequency G exp RT Diffusion coefficient D H TS Therefore, D exp RT 0 Interstitial diffusion activation energy H exp RT S exp R Q ID H We have D D 0 exp QID RT Diffusion coefficient increases exponentially with T!
9 Theral Activation of Interstitial Diffusion (3) 9 Soe data In CC α-fe Obtaining Q and D 0 fro easured D We have Or Interstitial ato D 0 ( /s) Q (k/ol) D C 84. N H Porter et al. Phase Transforations in Metals & Alloys, 3 rd Ed (009), CRC Press, p. 73 D 0 exp Q RT Q ln D ln D0 R T Q lg D lg D0.3R T lgd lgd 0 Slope = Q.3R /T
Module 16. Diffusion in solids II. Lecture 16. Diffusion in solids II
Module 16 Diffusion in solids II Lecture 16 Diffusion in solids II 1 NPTEL Phase II : IIT Kharagpur : Prof. R. N. Ghosh, Dept of Metallurgical and Materials Engineering Keywords: Micro mechanisms of diffusion,
More informationDIFFUSION IN SOLIDS. IE-114 Materials Science and General Chemistry Lecture-5
DIFFUSION IN SOLIDS IE-114 Materials Science and General Chemistry Lecture-5 Diffusion The mechanism by which matter is transported through matter. It is related to internal atomic movement. Atomic movement;
More informationKinetic Molecular Theory of Ideal Gases
Lecture -3. Kinetic Molecular Theory of Ideal Gases Last Lecture. IGL is a purely epirical law - solely the consequence of experiental obserations Explains the behaior of gases oer a liited range of conditions.
More informationMeasuring Temperature with a Silicon Diode
Measuring Teperature with a Silicon Diode Due to the high sensitivity, nearly linear response, and easy availability, we will use a 1N4148 diode for the teperature transducer in our easureents 10 Analysis
More informationIntroduction To Materials Science FOR ENGINEERS, Ch. 5. Diffusion. MSE 201 Callister Chapter 5
Diffusion MSE 201 Callister Chapter 5 1 Goals: Diffusion - how do atoms move through solids? Fundamental concepts and language Diffusion mechanisms Vacancy diffusion Interstitial diffusion Impurities Diffusion
More informationReading from Young & Freedman: For this topic, read the introduction to chapter 25 and sections 25.1 to 25.3 & 25.6.
PHY10 Electricity Topic 6 (Lectures 9 & 10) Electric Current and Resistance n this topic, we will cover: 1) Current in a conductor ) Resistivity 3) Resistance 4) Oh s Law 5) The Drude Model of conduction
More informationModel Fitting. CURM Background Material, Fall 2014 Dr. Doreen De Leon
Model Fitting CURM Background Material, Fall 014 Dr. Doreen De Leon 1 Introduction Given a set of data points, we often want to fit a selected odel or type to the data (e.g., we suspect an exponential
More informationwater adding dye partial mixing homogenization time
iffusion iffusion is a process of mass transport that involves the movement of one atomic species into another. It occurs by ranom atomic jumps from one position to another an takes place in the gaseous,
More informationQuantum algorithms (CO 781, Winter 2008) Prof. Andrew Childs, University of Waterloo LECTURE 15: Unstructured search and spatial search
Quantu algoriths (CO 781, Winter 2008) Prof Andrew Childs, University of Waterloo LECTURE 15: Unstructured search and spatial search ow we begin to discuss applications of quantu walks to search algoriths
More informationKinetic Molecular Theory of. IGL is a purely empirical law - solely the
Lecture -3. Kinetic Molecular Theory of Ideal Gases Last Lecture. IGL is a purely epirical law - solely the consequence of experiental obserations Explains the behaior of gases oer a liited range of conditions.
More informationNewton's Laws. Lecture 2 Key Concepts. Newtonian mechanics and relation to Kepler's laws The Virial Theorem Tidal forces Collision physics
Lecture 2 Key Concepts Newtonian echanics and relation to Kepler's laws The Virial Theore Tidal forces Collision physics Newton's Laws 1) An object at rest will reain at rest and an object in otion will
More informationEMA4303/5305 Electrochemical Engineering Lecture 03 Electrochemical Kinetics
EMA4303/5305 Electrochemical Engineering Lecture 03 Electrochemical Kinetics Dr. Junheng Xing, Prof. Zhe Cheng Mechanical & Materials Engineering Florida International University 2 Electrochemical Kinetics
More informationDiffusion. Diffusion. Diffusion in Solid Materials
Atoms movements in materials Diffusion Movement of atoms in solids, liquids and gases is very important Eamples: Hardening steel, chrome-plating, gas reactions, Si wafers.. etc. We will study: Atomic mechanisms
More informationChapter 4: Hypothesis of Diffusion-Limited Growth
Suary This section derives a useful equation to predict quantu dot size evolution under typical organoetallic synthesis conditions that are used to achieve narrow size distributions. Assuing diffusion-controlled
More informationKinetics. Rate of change in response to thermodynamic forces
Kinetics Rate of change in response to thermodynamic forces Deviation from local equilibrium continuous change T heat flow temperature changes µ atom flow composition changes Deviation from global equilibrium
More informationClassical systems in equilibrium
35 Classical systes in equilibriu Ideal gas Distinguishable particles Here we assue that every particle can be labeled by an index i... and distinguished fro any other particle by its label if not by any
More informationElectrical Engineering 3BB3: Cellular Bioelectricity (2013) Solutions to Midterm Quiz #1
Electrical Engineering 3BB3: Cellular Bioelectricity (2013) Solutions to Midter Quiz #1 1. In a typical excitable cell, the ion species with the ost positive Nernst equilibriu potential is: a. potassiu,
More informationDETECTION OF NONLINEARITY IN VIBRATIONAL SYSTEMS USING THE SECOND TIME DERIVATIVE OF ABSOLUTE ACCELERATION
DETECTION OF NONLINEARITY IN VIBRATIONAL SYSTEMS USING THE SECOND TIME DERIVATIVE OF ABSOLUTE ACCELERATION Masaki WAKUI 1 and Jun IYAMA and Tsuyoshi KOYAMA 3 ABSTRACT This paper shows a criteria to detect
More informationDiffusion in Solid State
(Diffusion in Solid State): - Diffusion in Solid State Diffusion Mechanism It is known that at high temperature, the Amplitude of vibrations of atoms leads to expansion, while keeping the (Frequency of
More informationSteady-state diffusion is diffusion in which the concentration of the diffusing atoms at
Chapter 7 What is steady state diffusion? Steady-state diffusion is diffusion in which the concentration of the diffusing atoms at any point, x, and hence the concentration gradient at x, in the solid,
More informationElectrical Engineering 3BB3: Cellular Bioelectricity (2008) Solutions to Midterm Quiz #1
Electrical Engineering 3BB3: Cellular Bioelectricity (2008) Solutions to Midter Quiz #1 1. In typical excitable cells there will be a net influx of K + through potassiu ion channels if: a. V Vrest >, b.
More informationSpine Fin Efficiency A Three Sided Pyramidal Fin of Equilateral Triangular Cross-Sectional Area
Proceedings of the 006 WSEAS/IASME International Conference on Heat and Mass Transfer, Miai, Florida, USA, January 18-0, 006 (pp13-18) Spine Fin Efficiency A Three Sided Pyraidal Fin of Equilateral Triangular
More informationSolutions to the problems in Chapter 6 and 7
Solutions to the probles in Chapter 6 and 7 6.3 Pressure of a Feri gas at zero teperature The nuber of electrons N and the internal energy U, inthevoluev,are N = V D(ε)f(ε)dε, U = V εd(ε)f(ε)dε, () The
More informationSolutions of some selected problems of Homework 4
Solutions of soe selected probles of Hoework 4 Sangchul Lee May 7, 2018 Proble 1 Let there be light A professor has two light bulbs in his garage. When both are burned out, they are replaced, and the next
More informationElastic Force: A Force Balance: Elastic & Gravitational Force: Force Example: Determining Spring Constant. Some Other Forces
Energy Balance, Units & Proble Solving: Mechanical Energy Balance ABET Course Outcoes: 1. solve and docuent the solution of probles involving eleents or configurations not previously encountered (e) (e.g.
More informationLecture #8-3 Oscillations, Simple Harmonic Motion
Lecture #8-3 Oscillations Siple Haronic Motion So far we have considered two basic types of otion: translation and rotation. But these are not the only two types of otion we can observe in every day life.
More informationKinetic Theory of Gases. Chapter 33 1/6/2017. Kinetic Theory of Gases
1/6/017 Kinetic Theory of Gases Kinetic Theory of Gases Chapter 33 Kinetic theory of gases envisions gases as a collection of atos or olecules in otion. Atos or olecules are considered as particles. This
More informationEasy Evaluation Method of Self-Compactability of Self-Compacting Concrete
Easy Evaluation Method of Self-Copactability of Self-Copacting Concrete Masanori Maruoka 1 Hiroi Fujiwara 2 Erika Ogura 3 Nobu Watanabe 4 T 11 ABSTRACT The use of self-copacting concrete (SCC) in construction
More informationPassivity of Metals in the Point Defect Model: Effect of Chloride [Part-III] Bosco Emmanuel, CSIR-CECRI, Karaikudi , India
Paivity of etals in the Point Defect odel: Effect of hloride [Part-III] Bosco Eanuel, SIR-ERI, Karaiudi-3, India Abstract In this paper we study the effect of addition of chloride on the stability of the
More informationChapter 2. Small-Signal Model Parameter Extraction Method
Chapter Sall-Signal Model Paraeter Extraction Method In this chapter, we introduce a new paraeter extraction technique for sall-signal HBT odeling. Figure - shows the sall-signal equivalent circuit of
More information1 (40) Gravitational Systems Two heavy spherical (radius 0.05R) objects are located at fixed positions along
(40) Gravitational Systes Two heavy spherical (radius 0.05) objects are located at fixed positions along 2M 2M 0 an axis in space. The first ass is centered at r = 0 and has a ass of 2M. The second ass
More informationpoints Points <40. Results of. Final Exam. Grade C D,F C B
Results of inal Exa 5 6 7 8 9 points Grade C D, Points A 9- + 85-89 7-8 C + 6-69 -59 < # of students Proble (che. equilibriu) Consider the following reaction: CO(g) + H O(g) CO (g) + H (g) In equilibriu
More informationEE5900 Spring Lecture 4 IC interconnect modeling methods Zhuo Feng
EE59 Spring Parallel LSI AD Algoriths Lecture I interconnect odeling ethods Zhuo Feng. Z. Feng MTU EE59 So far we ve considered only tie doain analyses We ll soon see that it is soeties preferable to odel
More informationLecture Frontier of complexity more is different Think of a spin - a multitude gives all sorts of magnetism due to interactions
Lecture 1 Motivation for course The title of this course is condensed atter physics which includes solids and liquids (and occasionally gases). There are also interediate fors of atter, e.g., glasses,
More informationIII.H Zeroth Order Hydrodynamics
III.H Zeroth Order Hydrodynaics As a first approxiation, we shall assue that in local equilibriu, the density f 1 at each point in space can be represented as in eq.iii.56, i.e. f 0 1 p, q, t = n q, t
More informationA NEW ELECTROSTATIC FIELD GEOMETRY. Jerry E. Bayles
INTRODUCTION A NEW ELECTROSTATIC FIELD GEOMETRY by Jerry E Bayles The purpose of this paper is to present the electrostatic field in geoetrical ters siilar to that of the electrogravitational equation
More informationCrystallization of Supercooled Liquid Elements Induced by Superclusters Containing Magic Atom Numbers Abstract: Keywords: 1.
Crystallization of Supercooled Liquid Eleents Induced by Superclusters Containing Magic Ato Nubers Robert F. Tournier, CRETA /CNRS, Université Joseph Fourier, B.P. 166, 804 Grenoble cedex 09, France. E-ail:
More informationLecture contents. Magnetic properties Diamagnetism Band paramagnetism Atomic paramagnetism. NNSE508 / NENG452 Lecture #14
1 Lecture contents agnetic properties Diaagnetis and paraagnetis Atoic paraagnetis NNSE58 / NENG45 Lecture #14 agnetic units H /r V s 1 Wb T 1 T Wb T 1H A A Fro Treolet de Lacheisserie, 5 NNSE58 / NENG45
More informationC na (1) a=l. c = CO + Clm + CZ TWO-STAGE SAMPLE DESIGN WITH SMALL CLUSTERS. 1. Introduction
TWO-STGE SMPLE DESIGN WITH SMLL CLUSTERS Robert G. Clark and David G. Steel School of Matheatics and pplied Statistics, University of Wollongong, NSW 5 ustralia. (robert.clark@abs.gov.au) Key Words: saple
More informationThe calculation method of interaction between metal atoms under influence of the radiation
IOP Conference Series: Materials Science and Engineering PAPER OPEN ACCESS The calculation ethod of interaction between etal atos under influence of the radiation To cite this article: S N Yanin 015 IOP
More informationPHY 171. Lecture 14. (February 16, 2012)
PHY 171 Lecture 14 (February 16, 212) In the last lecture, we looked at a quantitative connection between acroscopic and icroscopic quantities by deriving an expression for pressure based on the assuptions
More informationBlock designs and statistics
Bloc designs and statistics Notes for Math 447 May 3, 2011 The ain paraeters of a bloc design are nuber of varieties v, bloc size, nuber of blocs b. A design is built on a set of v eleents. Each eleent
More informationElectronic Supplementary Information Proton Conductivity in Mixed-Conducting BSFZ Perovskite from Thermogravimetric Relaxation
Electronic Suppleentary Material (ESI) for Physical Cheistry Cheical Physics. This journal is the wner Societies 014 Z ig / k Z / k phase / Electronic Suppleentary Inforation Proton Conductivity in Mixed-Conducting
More informationOcean 420 Physical Processes in the Ocean Project 1: Hydrostatic Balance, Advection and Diffusion Answers
Ocean 40 Physical Processes in the Ocean Project 1: Hydrostatic Balance, Advection and Diffusion Answers 1. Hydrostatic Balance a) Set all of the levels on one of the coluns to the lowest possible density.
More informationJordan Journal of Physics
Volue 5, Nuber 3, 212. pp. 113-118 ARTILE Jordan Journal of Physics Networks of Identical apacitors with a Substitutional apacitor Departent of Physics, Al-Hussein Bin Talal University, Ma an, 2, 71111,
More informationField Mass Generation and Control. Chapter 6. The famous two slit experiment proved that a particle can exist as a wave and yet
111 Field Mass Generation and Control Chapter 6 The faous two slit experient proved that a particle can exist as a wave and yet still exhibit particle characteristics when the wavefunction is altered by
More informationEE 434 Lecture 16. Small signal model Small signal applications in amplifier analysis and design
EE 434 Lecture 16 Sall sinal odel Sall sinal applications in aplifier analysis and desin Quiz 13 The of an n-channel OS transistor that has a quiescent current of 5A was easured to be 10A/. If the lenth
More informationA Simplified Analytical Approach for Efficiency Evaluation of the Weaving Machines with Automatic Filling Repair
Proceedings of the 6th SEAS International Conference on Siulation, Modelling and Optiization, Lisbon, Portugal, Septeber -4, 006 0 A Siplified Analytical Approach for Efficiency Evaluation of the eaving
More informationThe Thermal Dependence and Urea Concentration Dependence of Rnase A Denaturant Transition
The Theral Dependence and Urea Concentration Dependence of Rnase A Denaturant Transition Bin LI Departent of Physics & Astronoy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A Feb.20 th, 2001 Abstract:
More informationTEST OF HOMOGENEITY OF PARALLEL SAMPLES FROM LOGNORMAL POPULATIONS WITH UNEQUAL VARIANCES
TEST OF HOMOGENEITY OF PARALLEL SAMPLES FROM LOGNORMAL POPULATIONS WITH UNEQUAL VARIANCES S. E. Ahed, R. J. Tokins and A. I. Volodin Departent of Matheatics and Statistics University of Regina Regina,
More informationRecommended Reading. Entropy/Second law Thermodynamics
Lecture 7. Entropy and the second law of therodynaics. Recoended Reading Entropy/econd law herodynaics http://en wikipedia http://en.wikipedia.org/wiki/entropy http://2ndlaw.oxy.edu/index.htl. his site
More informationDiffusion in Dilute Alloys
Chapter 3 Diffusion in Dilute Alloys Our discussion of the atomistic mechanisms for diffusion has been confined to the situations where the diffusing species is chemically identical to the host atom. We
More informationStatistical properties of contact maps
PHYSICAL REVIEW E VOLUME 59, NUMBER 1 JANUARY 1999 Statistical properties of contact aps Michele Vendruscolo, 1 Balakrishna Subraanian, 2 Ido Kanter, 3 Eytan Doany, 1 and Joel Lebowitz 2 1 Departent of
More informationEXPLORING PHASE SPACES OF BIOMOLECULES WITH MONTE CARLO METHODS
Journal of Optoelectronics and Advanced Materials Vol. 7, o. 3, June 2005, p. 1563-1571 EXPLORIG PHASE SPACES OF BIOMOLECULES WITH MOTE CARLO METHODS A. Bu u * ational Institute for Research and Developent
More informationLecture 12: Waves in periodic structures
Lecture : Waves in periodic structures Phonons: quantised lattice vibrations of a crystalline solid is: To approach the general topic of waves in periodic structures fro a specific standpoint: Lattice
More informationInterfacial Defects. Grain Size Determination
Interfacial Defects 4.27 For an FCC single crystal, would you expect the surface energy for a (00) plane to be greater or less than that for a () plane? Why? (Note: You may want to consult the solution
More informationA Note on the Applied Use of MDL Approximations
A Note on the Applied Use of MDL Approxiations Daniel J. Navarro Departent of Psychology Ohio State University Abstract An applied proble is discussed in which two nested psychological odels of retention
More informationGAUTENG DEPARTMENT OF EDUCATION SENIOR SECONDARY INTERVENTION PROGRAMME. PHYSICAL SCIENCE Grade 11 SESSION 11 (LEARNER NOTES)
PYSICAL SCIENCE Grade 11 SESSION 11 (LEARNER NOTES) MOLE CONCEPT, STOICIOMETRIC CALCULATIONS Learner Note: The ole concept is carried forward to calculations in the acid and base section, as well as in
More informationU V. r In Uniform Field the Potential Difference is V Ed
SPHI/W nit 7.8 Electric Potential Page of 5 Notes Physics Tool box Electric Potential Energy the electric potential energy stored in a syste k of two charges and is E r k Coulobs Constant is N C 9 9. E
More informationTHERMAL ENDURANCE OF UNREINFORCED UNSATURATED POLYESTERS AND VINYL ESTER RESINS = (1) ln = COMPOSITES & POLYCON 2009
Aerican Coposites Manufacturers Association January 15-17, 29 Tapa, FL USA Abstract THERMAL ENDURANCE OF UNREINFORCED UNSATURATED POLYESTERS AND VINYL ESTER RESINS by Thore M. Klaveness, Reichhold AS In
More informationDiffusion. Diffusion = the spontaneous intermingling of the particles of two or more substances as a result of random thermal motion
Diffusion Diffusion = the spontaneous intermingling of the particles of two or more substances as a result of random thermal motion Fick s First Law Γ ΔN AΔt Γ = flux ΔN = number of particles crossing
More information13.2 Fully Polynomial Randomized Approximation Scheme for Permanent of Random 0-1 Matrices
CS71 Randoness & Coputation Spring 018 Instructor: Alistair Sinclair Lecture 13: February 7 Disclaier: These notes have not been subjected to the usual scrutiny accorded to foral publications. They ay
More informationModeling the Structural Shifts in Real Exchange Rate with Cubic Spline Regression (CSR). Turkey
International Journal of Business and Social Science Vol. 2 No. 17 www.ijbssnet.co Modeling the Structural Shifts in Real Exchange Rate with Cubic Spline Regression (CSR). Turkey 1987-2008 Dr. Bahar BERBEROĞLU
More informationarxiv:cond-mat/ v1 [cond-mat.stat-mech] 22 Oct 1998
arxiv:cond-at/9810285v1 [cond-at.stat-ech] 22 Oct 1998 Statistical Properties of Contact Maps Michele Vendruscolo (1), Balakrishna Subraanian (2), Ido Kanter (3), Eytan Doany (1) and Joel Lebowitz (2)
More informationSupporting information for Self-assembly of multicomponent structures in and out of equilibrium
Supporting inforation for Self-assebly of ulticoponent structures in and out of equilibriu Stephen Whitela 1, Rebecca Schulan 2, Lester Hedges 1 1 Molecular Foundry, Lawrence Berkeley National Laboratory,
More informationN = N A Pb A Pb. = ln N Q v kt. = kt ln v N
5. Calculate the energy for vacancy formation in silver, given that the equilibrium number of vacancies at 800 C (1073 K) is 3.6 10 3 m 3. The atomic weight and density (at 800 C) for silver are, respectively,
More informationAutomated Frequency Domain Decomposition for Operational Modal Analysis
Autoated Frequency Doain Decoposition for Operational Modal Analysis Rune Brincker Departent of Civil Engineering, University of Aalborg, Sohngaardsholsvej 57, DK-9000 Aalborg, Denark Palle Andersen Structural
More informationAP Physics Thermodynamics Wrap-up
AP Physics herodynaics Wrap-up Here are your basic equations for therodynaics. here s a bunch of the. 3 his equation converts teperature fro Fahrenheit to Celsius. his is the rate of heat transfer for
More informationMathematical Models to Determine Stable Behavior of Complex Systems
Journal of Physics: Conference Series PAPER OPEN ACCESS Matheatical Models to Deterine Stable Behavior of Coplex Systes To cite this article: V I Suin et al 08 J. Phys.: Conf. Ser. 05 0336 View the article
More information1 Bounding the Margin
COS 511: Theoretical Machine Learning Lecturer: Rob Schapire Lecture #12 Scribe: Jian Min Si March 14, 2013 1 Bounding the Margin We are continuing the proof of a bound on the generalization error of AdaBoost
More informationCHAPTER 4 IMPERFECTIONS IN SOLIDS PROBLEM SOLUTIONS
4-1 CHAPTER 4 IMPERFECTIONS IN SOLIDS PROBLEM SOLUTIONS Vacancies and Self-Interstitials 4.1 In order to compute the fraction of atom sites that are vacant in copper at 1357 K, we must employ Equation
More information1 Proof of learning bounds
COS 511: Theoretical Machine Learning Lecturer: Rob Schapire Lecture #4 Scribe: Akshay Mittal February 13, 2013 1 Proof of learning bounds For intuition of the following theore, suppose there exists a
More informationDensity and structure of undercooled liquid titanium
Article Condensed Matter Physics March 2012 Vol.57 No.7: 719 723 doi: 10.1007/s11434-011-4945-6 Density and structure of undercooled liquid titaniu WANG HaiPeng, YANG ShangJing & WEI BingBo * Departent
More informationPhysics 2107 Oscillations using Springs Experiment 2
PY07 Oscillations using Springs Experient Physics 07 Oscillations using Springs Experient Prelab Read the following bacground/setup and ensure you are failiar with the concepts and theory required for
More informationGeneralized Rayleigh Wave Dispersion in a Covered Half-space Made of Viscoelastic Materials
Copyright 7 Tech Science Press CMC vol.53 no.4 pp.37-34 7 Generalized Rayleigh Wave Dispersion in a Covered Half-space Made of Viscoelastic Materials S.D. Akbarov and M. Negin 3 Abstract: Dispersion of
More informationA method to determine relative stroke detection efficiencies from multiplicity distributions
A ethod to deterine relative stroke detection eiciencies ro ultiplicity distributions Schulz W. and Cuins K. 2. Austrian Lightning Detection and Inoration Syste (ALDIS), Kahlenberger Str.2A, 90 Vienna,
More informationOn the Diffusion Coefficient: The Einstein Relation and Beyond 3
Stoch. Models, Vol. 19, No. 3, 2003, (383-405) Research Report No. 424, 2001, Dept. Theoret. Statist. Aarhus On the Diffusion Coefficient: The Einstein Relation and Beyond 3 GORAN PESKIR 33 We present
More information2. Electric Current. E.M.F. of a cell is defined as the maximum potential difference between the two electrodes of the
2. Electric Current The net flow of charges through a etallic wire constitutes an electric current. Do you know who carries current? Current carriers In solid - the electrons in outerost orbit carries
More informationExtrinsic Point Defects: Impurities
Extrinsic Point Defects: Impurities Substitutional and interstitial impurities Sol solutions, solubility limit Entropy of ing, eal solution model Enthalpy of ing, quasi-chemical model Ideal and regular
More informationSexually Transmitted Diseases VMED 5180 September 27, 2016
Sexually Transitted Diseases VMED 518 Septeber 27, 216 Introduction Two sexually-transitted disease (STD) odels are presented below. The irst is a susceptibleinectious-susceptible (SIS) odel (Figure 1)
More informationFeasibility Study of a New Model for the Thermal Boundary Resistance at an Interface of Solid Thin Films
Feasibility Study of a New Model for the Theral Boundary Resistance at an Interface of Solid Thin Fils Soon Ho Choi* and Shigeo Maruyaa** Departent of Mechanical Engineering, The University of Tokyo, Tokyo,
More information12 Towards hydrodynamic equations J Nonlinear Dynamics II: Continuum Systems Lecture 12 Spring 2015
18.354J Nonlinear Dynaics II: Continuu Systes Lecture 12 Spring 2015 12 Towards hydrodynaic equations The previous classes focussed on the continuu description of static (tie-independent) elastic systes.
More informationChem/Biochem 471 Exam 3 12/18/08 Page 1 of 7 Name:
Che/Bioche 47 Exa /8/08 Pae of 7 Please leave the exa paes stapled toether. The forulas are on a separate sheet. This exa has 5 questions. You ust answer at least 4 of the questions. You ay answer ore
More informationBio-Systems Modeling and Control
Bio-Systes Modeling and Control Copartental Modeling Dr. Zvi Roth (FAU) Main Literature Sources: Robert Northrop Endogenous and Eogenous Regulation and Control of Physiological Systes, Chapan & Hall /
More informationCHEM 481 Assignment 3 Answers
CHEM 481 Assignent Answers. In the standard notation of closest-packing of spheres, the letters A, B and C refer to close-packed layers. Which of the following sequences describe closest-packing in diensions,
More informationLecture 1: Atomic Diffusion
Part IB Materials Science & Metallurgy H. K. D. H. Bhadeshia Course A, Metals and Alloys Lecture 1: Atomic Diffusion Mass transport in a gas or liquid generally involves the flow of fluid (e.g. convection
More informationFixed-to-Variable Length Distribution Matching
Fixed-to-Variable Length Distribution Matching Rana Ali Ajad and Georg Böcherer Institute for Counications Engineering Technische Universität München, Gerany Eail: raa2463@gail.co,georg.boecherer@tu.de
More informationCSE525: Randomized Algorithms and Probabilistic Analysis May 16, Lecture 13
CSE55: Randoied Algoriths and obabilistic Analysis May 6, Lecture Lecturer: Anna Karlin Scribe: Noah Siegel, Jonathan Shi Rando walks and Markov chains This lecture discusses Markov chains, which capture
More informationTheory of Electromigration
Theory of Electromigration Electromigration is the transport of material in a conductor under the influence of an applied electric field. All conductors are susceptible to electromigration, therefore it
More informationUsing a De-Convolution Window for Operating Modal Analysis
Using a De-Convolution Window for Operating Modal Analysis Brian Schwarz Vibrant Technology, Inc. Scotts Valley, CA Mark Richardson Vibrant Technology, Inc. Scotts Valley, CA Abstract Operating Modal Analysis
More informationChemistry 432 Problem Set 11 Spring 2018 Solutions
1. Show that for an ideal gas Cheistry 432 Proble Set 11 Spring 2018 Solutions P V 2 3 < KE > where is the average kinetic energy of the gas olecules. P 1 3 ρ v2 KE 1 2 v2 ρ N V P V 1 3 N v2 2 3 N
More informationA Mathematical Model of the Removal of Milk Protein Deposit
efereed Proceedings Heat Exchanger Fouling and Cleaning: Fundaentals and pplications Engineering Conferences International Year 2003 Matheatical Model of the eoval of Milk Protein Deposit Hong Xin The
More informationLecture 23: Spinodal Decomposition: Part 2: regarding free energy. change and interdiffusion coefficient inside the spinodal
Leture 3: Spinodal eoposition: Part : regarding free energy hange and interdiffusion oeffiient inside the spinodal Today s topis ontinue to understand the basi kinetis of spinodal deoposition. Within the
More informationLea and Burke Chapter 22 Even Solutions. S.M.Lea
/ Lea and Burke Chapter Even Solutions S.M.Lea. T efficiency of t Otto cycle is: Since we have only sig fig, we should give t answer as 50%..4 T efficiency of a Carnot engine is:,l, 560 K = T H.0 x 0 =
More informationLindenmann s Rule Applied to the Melting of Crystals and Ultra-Stable
Lindenann s Rule Applied to the Melting of Crystals and Ultra-Stable Glasses Robert F. Tournier Centre National de la Recherche Scientifique, Institut Neel, Université Grenoble Alpes, Consortiu de Recherches
More information3 Thermodynamics and Statistical mechanics
Therodynaics and Statistical echanics. Syste and environent The syste is soe ortion of atter that we searate using real walls or only in our ine, fro the other art of the universe. Everything outside the
More informationA Simple Regression Problem
A Siple Regression Proble R. M. Castro March 23, 2 In this brief note a siple regression proble will be introduced, illustrating clearly the bias-variance tradeoff. Let Y i f(x i ) + W i, i,..., n, where
More informationSupplementary Information for Design of Bending Multi-Layer Electroactive Polymer Actuators
Suppleentary Inforation for Design of Bending Multi-Layer Electroactive Polyer Actuators Bavani Balakrisnan, Alek Nacev, and Elisabeth Sela University of Maryland, College Park, Maryland 074 1 Analytical
More informationSIMULATION OF SOIL TEMPERATURE VARIATION FOR GEOTHERMAL APPLICATIONS
International Journal of Mechanical Engineering and Technology (IJMET) Volue 8, Issue 2, February 2017, pp. 167 175 Article ID: IJMET_08_02_020 Available online at http://www.iaee.co/ijmet/issues.asp?jtype=ijmet&vtype=8&itype=2
More informationNational 5 Summary Notes
North Berwick High School Departent of Physics National 5 Suary Notes Unit 3 Energy National 5 Physics: Electricity and Energy 1 Throughout the Course, appropriate attention should be given to units, prefixes
More information