Chapter 3. Thin-Film Evaporation Processes. 1. Physical Vapor Deposition (PVD)

Size: px
Start display at page:

Download "Chapter 3. Thin-Film Evaporation Processes. 1. Physical Vapor Deposition (PVD)"

Transcription

1 Chaptr 3. Thin-Film Evaporation Procsss 1. Physical Vapor Dposition (PVD) Atoms ar rmovd from th sourc (targt) Controllably transfr atoms from a sourc to a substrat whr film formation and growth procd atomistically - Evaporation by thrmal mans - Sputtring by gasous ions 1

2 I. 1. Evaporation Rat asic quation for th rat of vaporation from both liquid and solid surfacs, vaporation flux Φ α N A ( ) P π R T P h α : cofficint of vaporation P : quilibrium prssur P h : hydrostatic prssur Φ : # of atoms/ unit ara tim

3 aximum valu of Φ α 1 and P h 0 Φ P T ( molculs / cm sc ) mass vaporation rat Γ T P ( g / cm sc ) P in Torr 3

4 I. Vapor prssur of th lmtnt Clausius Clapyron quation : connction btwn tmpratur and vapor prssur For both solid-vapor and liquid-vapor quilibrium dp dt H T V ( T ) dp P H ( T ) dt RT Sinc V V V V, v H ( T ) H : th molar hat of vaporation c V V v ( RT P constant ) ln P H R T + I For practic Φ 10-5 g/cm sc 10-3 Torr at P is ndd. 4

5 5

6 I.3 Evaporation of Compounds tals : vaporat as atoms and occasionally as clustrs of atoms Compounds : most inorganic compounds vaporat with molcular chang stoichiomtry of th film dposit will diffr from that of th sourc. 6

7 I.4 Evaporation of Alloys - Elctronic, magntic, optical, dcorativ applications Al-Cu, Prmalloy (F-Ni), nichrom (Ni-Cr), Co-Cr, Th constitunt of th alloys vaporat narly indpndnt of ach othr - E A E AA E - Idal solution Raoult s law P ( X X P ( 0) mol fraction of tallic solutions usually ar not idal in solution) P a a P ( 0) activity : ffctiv thrmodymic concntration of 7

8 γ X a γ activity cofficint - Th ratio of th fluxs of A and atoms in th vapor stram abov th mlt is givn by Φ Φ A γ A γ X X A P P A ( 0) ( 0) A 8

9 < 예제 > For films (Al-Cu) with wt % Cu, assuming Φ Φ Al Cu 98 / / Al Cu P P Al Cu (0) (0) X X Al cu It is ncssary to hav 13.6 wt % Cu in sourc alloy at 1350K - lt composition usually changs as vaporation procds 9

10 I-5. Film Thicknss Uniformity I.5.1 Dposition Gomtry Th Sourc Substrat gomtry influncs th ultimat film uniformity Point sourc 10

11 : total vaporatd mass da c t 0 da s A Γ cosθ da dt d d da s s s : da c : 4πr cosθ : mass 4πrr dpositd pr unit ara` 11

12 From kintic thory & xprimnt for surfac sourc d da s s cosφ cosθ π r cosin distribution law or ralistically ; cos n φ vaporation law d s das n ( n + 1)cos φ cosθ ( n πr 0) - n is rlatd to vaporation crucibl qomtry and th scals with th ratio of th mlt dpth to th mlt surfac ara. - whn n is larg, th vapor flux is highly dirctd. 1

13 13

14 1.5. Thicknss Distribution Film thicknss d d, ρ dnsity of ρda s s dposits For th point sourc ; d d d o cosθ 4πρr {1 + ( l 1 / h) h 3 4πρr } 3/, 4πρ( h h + l ) 3/ thickst dposit d o at l 0 14

15 For th surfac sourc ; d d d o {1 + cosθ cosφ πρr 1 l ( ) h } πρr h r h r h πρ( h + l ) 15

16 - lss thicknss uniformity with th surfac sourc -uniformity as h but wast of vaporant Rotating Disk 16

17 A clvr way to achiv thicknss uniformity - surfac sourc and substrats locat on th surfac of a sphr d da S S cosφ cosθ π r 4π r o 17

18 Conformal covrag - smiconductor contact - intrconnction mtallization Computr modling of stp covrag sourc of failur in dvic 18

19 1.6 Film purity From background gas Φ (atoms cm Φ S b From sourc ρ N A a d sc P 1 b b ) T atoms cm C Impurity concntration in th film d :dposition rat d sc i 1 P b b T ρ a 19

20 Traditionally vaporation producs clanr film than sputtring bcaus of highr d and lowr Pb Gratly improvd in magntron sputtring ths days and givs similar rsults in cass of vaporation and sputtring of Al 0

21 3.4 Evaporation Hardwar Elctrically hatd vaporation sourcs - Tungstn wir sourcs - Rfractory mtal sht sourcs - Sublimation furnacs - Crucibl sourcs - Estimating th tmpratur of rsistanc hatrs n p i R i ρ(0)[ T / T (0)] L / A n 1 c Stfan-oltzmann law for radiatd powr p r εσa ( T T (0) s 4 4 ) Emissivity Stfan s constant 1

22 3.4. Elctron-bam vaporation

23 3

24 Disadvantags of rsistivly hatd vaporation sourcs : - Contamination by crucibls, hatrs, and support matrials - Limitation of rlativly low input powr lvls Thrfor, -bam vaportion bcoms th prfrrd vacuum vaporation tchniqu for dpositing films. Th vaporant charg is placd in th dprssion of a watrcoold coppr harth. Acclrat th lctrons by 4KV-0KV, dflctd 70oC by a transvrs magntic fild. 4

25 5

26 6

27 7

28 8

29 9

30 3.5. Pulsd lasr dposition(pld) - Gas xcimr lasrs : ArF(193nm), KrF(48nm), XCl(308nm) - Lasr output powr of ~ 500 mj/puls - Puls rptition rats of svral hundrd Hz - Th absorbd bam nrgy is convrtd into thrmal, chmical, and mchanical nrgy, causing lctronic xcitation of targt atoms, ablation and xfoliation of th surfac, and plasma formation. - Evaporants form a plum abov targt, consiting of a motly collction of nrgtic nutral atoms, molculs, ions, lctrons, atom clustrs, mincron sizd particulats, and moltn droplts. Th plum is highly dirctional, i.., cos n φ, whr 8 < n < 1 30

31 31

32 3

33 Th thicknss of matrial vaporatd pr lasr puls: Γ T P ( g / cm sc ) 1 d 5.84 ρ 10 T P ( cm sc ) For Al, T 793K, P 760torr, vaporation rat m/s for a 10ns lasr puls, vaporation rat is 0.4nm/puls Typical valus ar 1-10 nm/puls 33

34 3.5.4 Ion am Assistd Dposition(IAD) To improv th film proprtis, - Altrnat substrat tmpratur - Employ ion bombardmnt of th substrat - Us of broad-bam (Kaufman) ion sourc - Unlik plasma, indpndntly control ion flux and nrgy - 1mA/cm ions/cm sc, low nrgy (10v-1KV) nhancmnt of th dnsity and indx of rfraction of optical coating - control strss, hardnss, adhsion, rfractiv indx, stp covrag 34

35 35

PLASMA PHYSICS VIII. PROCESSING PLASMAS

PLASMA PHYSICS VIII. PROCESSING PLASMAS PLASMA PHYSICS VIII. PROCESSING PLASMAS Introduction Plasmas ar usd to manufactur smiconductors, to modify th surfacs of matrials, to trat missions and wasts bfor thy ntr th nvironmnt, tc. Th plasma is

More information

2. Laser physics - basics

2. Laser physics - basics . Lasr physics - basics Spontanous and stimulatd procsss Einstin A and B cofficints Rat quation analysis Gain saturation What is a lasr? LASER: Light Amplification by Stimulatd Emission of Radiation "light"

More information

Byeong-Joo Lee

Byeong-Joo Lee OSECH - MSE calphad@postch.ac.kr Equipartition horm h avrag nrgy o a particl pr indpndnt componnt o motion is ε ε ' ε '' ε ''' U ln Z Z ε < ε > U ln Z β ( ε ' ε '' ε ''' / Z' Z translational kintic nrgy

More information

The pn junction: 2 Current vs Voltage (IV) characteristics

The pn junction: 2 Current vs Voltage (IV) characteristics Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n

More information

IYPT 2000 Problem No. 3 PLASMA

IYPT 2000 Problem No. 3 PLASMA IYPT 000 Problm No. 3 PLASMA Tam Austria Invstigat th lctrical conducivity of th flam of a candl. Examin th influnc of rlvant paramtrs, in particular, th shap and polarity of th lctrods. Th xprimnts should

More information

Statistical Thermodynamics: Sublimation of Solid Iodine

Statistical Thermodynamics: Sublimation of Solid Iodine c:374-7-ivap-statmch.docx mar7 Statistical Thrmodynamics: Sublimation of Solid Iodin Chm 374 For March 3, 7 Prof. Patrik Callis Purpos:. To rviw basic fundamntals idas of Statistical Mchanics as applid

More information

University of Illinois at Chicago Department of Physics. Thermodynamics & Statistical Mechanics Qualifying Examination

University of Illinois at Chicago Department of Physics. Thermodynamics & Statistical Mechanics Qualifying Examination Univrsity of Illinois at Chicago Dpartmnt of hysics hrmodynamics & tatistical Mchanics Qualifying Eamination January 9, 009 9.00 am 1:00 pm Full crdit can b achivd from compltly corrct answrs to 4 qustions.

More information

Elements of Statistical Thermodynamics

Elements of Statistical Thermodynamics 24 Elmnts of Statistical Thrmodynamics Statistical thrmodynamics is a branch of knowldg that has its own postulats and tchniqus. W do not attmpt to giv hr vn an introduction to th fild. In this chaptr,

More information

Principles of Humidity Dalton s law

Principles of Humidity Dalton s law Principls of Humidity Dalton s law Air is a mixtur of diffrnt gass. Th main gas componnts ar: Gas componnt volum [%] wight [%] Nitrogn N 2 78,03 75,47 Oxygn O 2 20,99 23,20 Argon Ar 0,93 1,28 Carbon dioxid

More information

Chapter 6: Polarization and Crystal Optics

Chapter 6: Polarization and Crystal Optics Chaptr 6: Polarization and Crystal Optics * P6-1. Cascadd Wav Rtardrs. Show that two cascadd quartr-wav rtardrs with paralll fast axs ar quivalnt to a half-wav rtardr. What is th rsult if th fast axs ar

More information

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding...

Chemical Physics II. More Stat. Thermo Kinetics Protein Folding... Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg

More information

PULSED LASER ABLATION DEPOSITION AND LASER INTERACTION WITH MATERIALS

PULSED LASER ABLATION DEPOSITION AND LASER INTERACTION WITH MATERIALS CHAPTER 2 PULSED LASER ABLATION DEPOSITION AND LASER INTERACTION WITH MATERIALS 2.1 Introduction This chaptr aims to rviw thortically and xprimntally th pulsd lasr dposition procss, to dscrib its microscopic

More information

de/dx Effectively all charged particles except electrons

de/dx Effectively all charged particles except electrons de/dx Lt s nxt turn our attntion to how chargd particls los nrgy in mattr To start with w ll considr only havy chargd particls lik muons, pions, protons, alphas, havy ions, Effctivly all chargd particls

More information

ECE507 - Plasma Physics and Applications

ECE507 - Plasma Physics and Applications ECE507 - Plasma Physics and Applications Lctur 7 Prof. Jorg Rocca and Dr. Frnando Tomasl Dpartmnt of Elctrical and Computr Enginring Collisional and radiativ procsss All particls in a plasma intract with

More information

Heat Flux Measurements in the Hall Thruster Plume

Heat Flux Measurements in the Hall Thruster Plume Hat Flux Masurmnts in th Hall Thrustr Plum IEPC-25-67 Prsntd at th 29 th Intrnational Elctric Propulsion Confrnc, Princton Univrsity, Octobr 31 Novmbr 4, 25 G. Makrinich * and A. Fruchtman Holon Acadmic

More information

PH2200 Practice Final Exam Spring 2004

PH2200 Practice Final Exam Spring 2004 PH2200 Practic Final Exam Spring 2004 Instructions 1. Writ your nam and studnt idntification numbr on th answr sht. 2. This a two-hour xam. 3. Plas covr your answr sht at all tims. 4. This is a closd book

More information

Chapter 8: Electron Configurations and Periodicity

Chapter 8: Electron Configurations and Periodicity Elctron Spin & th Pauli Exclusion Principl Chaptr 8: Elctron Configurations and Priodicity 3 quantum numbrs (n, l, ml) dfin th nrgy, siz, shap, and spatial orintation of ach atomic orbital. To xplain how

More information

SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER. J. C. Sprott

SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER. J. C. Sprott SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER J. C. Sprott PLP 821 Novmbr 1979 Plasma Studis Univrsity of Wisconsin Ths PLP Rports ar informal and prliminary and as such may contain rrors not yt

More information

Radiation Physics Laboratory - Complementary Exercise Set MeBiom 2016/2017

Radiation Physics Laboratory - Complementary Exercise Set MeBiom 2016/2017 Th following qustions ar to b answrd individually. Usful information such as tabls with dtctor charactristics and graphs with th proprtis of matrials ar availabl in th cours wb sit: http://www.lip.pt/~patricia/fisicadaradiacao.

More information

Contemporary, atomic, nuclear, and particle physics

Contemporary, atomic, nuclear, and particle physics Contmporary, atomic, nuclar, and particl physics 1 Blackbody radiation as a thrmal quilibrium condition (in vacuum this is th only hat loss) Exampl-1 black plan surfac at a constant high tmpratur T h is

More information

Why is a E&M nature of light not sufficient to explain experiments?

Why is a E&M nature of light not sufficient to explain experiments? 1 Th wird world of photons Why is a E&M natur of light not sufficint to xplain xprimnts? Do photons xist? Som quantum proprtis of photons 2 Black body radiation Stfan s law: Enrgy/ ara/ tim = Win s displacmnt

More information

On the Hamiltonian of a Multi-Electron Atom

On the Hamiltonian of a Multi-Electron Atom On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making

More information

Introduction to plasma physics

Introduction to plasma physics Introduction to plasma physics 1 Plasma dfinition (S. Ichimaru, Statistical Plasma Physics, Vol I) Plasma is any statistical systm containing mobil chargd particls. Not Statistical mans macroscopic, for

More information

Principles of active remote sensing: Lidars. 1. Optical interactions of relevance to lasers. Lecture 22

Principles of active remote sensing: Lidars. 1. Optical interactions of relevance to lasers. Lecture 22 Lctur 22 Principls of activ rmot snsing: Lidars Ojctivs: 1. Optical intractions of rlvanc to lasrs. 2. Gnral principls of lidars. 3. Lidar quation. quird rading: G: 8.4.1, 8.4.2 Additional/advancd rading:.m.

More information

The influence of electron trap on photoelectron decay behavior in silver halide

The influence of electron trap on photoelectron decay behavior in silver halide Th influnc of lctron trap on photolctron dcay bhavior in silvr halid Rongjuan Liu, Xiaowi Li 1, Xiaodong Tian, Shaopng Yang and Guangshng Fu Collg of Physics Scinc and Tchnology, Hbi Univrsity, Baoding,

More information

The failure of the classical mechanics

The failure of the classical mechanics h failur of th classical mchanics W rviw som xprimntal vidncs showing that svral concpts of classical mchanics cannot b applid. - h blac-body radiation. - Atomic and molcular spctra. - h particl-li charactr

More information

Electrical Energy and Capacitance

Electrical Energy and Capacitance haptr 6 Elctrical Enrgy and apacitanc Quick Quizzs. (b). Th fild xrts a forc on th lctron, causing it to acclrat in th dirction opposit to that of th fild. In this procss, lctrical potntial nrgy is convrtd

More information

Simulations des micro-décharges de type MHCD

Simulations des micro-décharges de type MHCD Simulations ds micro-déchargs d typ MHCD Lann Pitchford Group GREPHE Laboratoir ds Plasmas t Convrsion d Enrgi Univrsité d Toulous t CNRS UMR 5213 pitchford@laplac.univ-tls.fr JP Bouf, G. Haglaar, Th Callgari

More information

Electrochemistry L E O

Electrochemistry L E O Rmmbr from CHM151 A rdox raction in on in which lctrons ar transfrrd lctrochmistry L O Rduction os lctrons xidation G R ain lctrons duction W can dtrmin which lmnt is oxidizd or rducd by assigning oxidation

More information

ANSWERS C C =

ANSWERS C C = 107 CHAPTER E1 ANSWERS 1.2 No. of xcss lctrons -0.1 10-6 C -1.6 10-19 C 6.2 1011 6.2 10 11 lctrons hav bn transfrrd from your hair to th comb. 1.3 Elctrical: 1, 2, 3, 4, 6, 8, 12, 13 Non-lctrical: 5, 11

More information

4 The Electron Cyclotron Resonance Ion Source (ECRIS) HF ion sources

4 The Electron Cyclotron Resonance Ion Source (ECRIS) HF ion sources 4 Th Elctron Cyclotron Rsonanc Ion Sourc (ECRIS) HF ion sourcs 4.1 Th ECR: Microwav ion sourcs (f > 1 GHz) hav bn dvlopd for th production of multipl chargd ions. Th first sourcs which usd th ECR-hating

More information

Introduction to Condensed Matter Physics

Introduction to Condensed Matter Physics Introduction to Condnsd Mattr Physics pcific hat M.P. Vaughan Ovrviw Ovrviw of spcific hat Hat capacity Dulong-Ptit Law Einstin modl Dby modl h Hat Capacity Hat capacity h hat capacity of a systm hld at

More information

Deepak Rajput

Deepak Rajput Q Prov: (a than an infinit point lattic is only capabl of showing,, 4, or 6-fold typ rotational symmtry; (b th Wiss zon law, i.. if [uvw] is a zon axis and (hkl is a fac in th zon, thn hu + kv + lw ; (c

More information

Electrons and Conductors

Electrons and Conductors Elctrons and Conductors Atoms consist primarily of lctrons, protons, and nutrons. A modifid Bohr modl of th atom is shown blow. nuclus composd of a clustr of protons and nutrons orbital lctrons lctron

More information

Solid State Theory Physics 545 Band Theory III

Solid State Theory Physics 545 Band Theory III Solid Stat Thory Physics 545 Band Thory III ach atomic orbital lads to a band of allowd stats in th solid Band of allowd stats Gap: no allowd stats Band of allowd stats Gap: no allowd stats Band of allowd

More information

NTHU ESS5850 Micro System Design F. G. Tseng Fall/2016, 7-2, p1. Lecture 7-2 MOSIS/SCNA Design Example- Piezoresistive type Accelerometer II

NTHU ESS5850 Micro System Design F. G. Tseng Fall/2016, 7-2, p1. Lecture 7-2 MOSIS/SCNA Design Example- Piezoresistive type Accelerometer II F. G. Tsng Fall/016, 7-, p1 ctur 7- MOSIS/SCNA Dsign Exampl-!! Pizorsistivity Pizorsistiv typ Acclromtr II a Considr a conductiv lock of dimnsion a as shown in th figur. If a currnt is passd through th

More information

Electric (Rocket) Propulsion. EP Overview

Electric (Rocket) Propulsion. EP Overview Elctric (Rockt) Propulsion EP Ovrviw Elctric Propulsion-1 Basics Rockt Propulsion Elmnts Propllant Enrgy Sourc Storag Fd Systm sam in chmical rockts Storag Convrsion Acclrator Elctric Propulsion- 1 Elctric

More information

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam.

Exam 2 Thursday (7:30-9pm) It will cover material through HW 7, but no material that was on the 1 st exam. Exam 2 Thursday (7:30-9pm) It will covr matrial through HW 7, but no matrial that was on th 1 st xam. What happns if w bash atoms with lctrons? In atomic discharg lamps, lots of lctrons ar givn kintic

More information

Spatial channeling of energy and momentum of energetic ions by destabilized Alfvén eigenmodes

Spatial channeling of energy and momentum of energetic ions by destabilized Alfvén eigenmodes Spatial channling of nrgy and momntum of nrgtic ions by dstabilizd Alfvén ignmods Ya.I. Kolsnichnko 1,V.V. Lutsnko 1, R.B. Whit, Yu.V. Yakovnko 1 1 Institut for Nuclar Rsarch, Kyiv, Ukrain Princton Plasma

More information

Seebeck and Peltier Effects

Seebeck and Peltier Effects Sbck and Pltir Effcts Introduction Thrmal nrgy is usually a byproduct of othr forms of nrgy such as chmical nrgy, mchanical nrgy, and lctrical nrgy. Th procss in which lctrical nrgy is transformd into

More information

Collisionless anisotropic electron heating and turbulent transport in coronal flare loops

Collisionless anisotropic electron heating and turbulent transport in coronal flare loops Collisionlss anisotropic lctron hating and turbulnt transport in coronal flar loops K.-W. L and J. Büchnr 5 April 2011 Outlin: 1. HXR obsrvation and standard flar modl 2. Linar stability analysis (multi-fluid

More information

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005 PHYS1444-,Fall 5, Trm Exam #1, Oct., 1, 5 Nam: Kys 1. circular ring of charg of raius an a total charg Q lis in th x-y plan with its cntr at th origin. small positiv tst charg q is plac at th origin. What

More information

MEASURING HEAT FLUX FROM A COMPONENT ON A PCB

MEASURING HEAT FLUX FROM A COMPONENT ON A PCB MEASURING HEAT FLUX FROM A COMPONENT ON A PCB INTRODUCTION Elctronic circuit boards consist of componnts which gnrats substantial amounts of hat during thir opration. A clar knowldg of th lvl of hat dissipation

More information

A Transient Unified Model of Arc-Weld Pool Couplings during Pulsed Spot Gas Tungsten Arc Welding

A Transient Unified Model of Arc-Weld Pool Couplings during Pulsed Spot Gas Tungsten Arc Welding A Transint Unifid Modl of Arc-Wld Pool Couplings during Pulsd Spot Gas Tungstn Arc Wlding A. Traidia 1, 2, F. Rogr *, 1 1 ENSTA Paristch, Dpartmnt of Mchanics UME 2 AREVA NP, Tchnical Cntr *Corrsponding

More information

High Energy Physics. Lecture 5 The Passage of Particles through Matter

High Energy Physics. Lecture 5 The Passage of Particles through Matter High Enrgy Physics Lctur 5 Th Passag of Particls through Mattr 1 Introduction In prvious lcturs w hav sn xampls of tracks lft by chargd particls in passing through mattr. Such tracks provid som of th most

More information

15. Stress-Strain behavior of soils

15. Stress-Strain behavior of soils 15. Strss-Strain bhavior of soils Sand bhavior Usually shard undr draind conditions (rlativly high prmability mans xcss por prssurs ar not gnratd). Paramtrs govrning sand bhaviour is: Rlativ dnsity Effctiv

More information

SAFE HANDS & IIT-ian's PACE EDT-15 (JEE) SOLUTIONS

SAFE HANDS & IIT-ian's PACE EDT-15 (JEE) SOLUTIONS It is not possibl to find flu through biggr loop dirctly So w will find cofficint of mutual inductanc btwn two loops and thn find th flu through biggr loop Also rmmbr M = M ( ) ( ) EDT- (JEE) SOLUTIONS

More information

EE243 Advanced Electromagnetic Theory Lec # 23 Scattering and Diffraction. Reading: Jackson Chapter , lite

EE243 Advanced Electromagnetic Theory Lec # 23 Scattering and Diffraction. Reading: Jackson Chapter , lite Applid M Fall 6, Nuruthr Lctur #3 Vr /5/6 43 Advancd lctromagntic Thory Lc # 3 cattring and Diffraction calar Diffraction Thory Vctor Diffraction Thory Babint and Othr Principls Optical Thorm ading: Jackson

More information

Physics 312 First Pledged Problem Set

Physics 312 First Pledged Problem Set Physics 31 First Pldgd Problm St 1. Th ground stat of hydrogn is dscribd by th wavfunction whr a is th Bohr radius. (a) Comput th charg dnsity à (r) = 1 p ¼ µ 1 a 3 r=a ; ½ (r) = jã (r)j : and plot 4¼r

More information

Supplementary Materials

Supplementary Materials 6 Supplmntary Matrials APPENDIX A PHYSICAL INTERPRETATION OF FUEL-RATE-SPEED FUNCTION A truck running on a road with grad/slop θ positiv if moving up and ngativ if moving down facs thr rsistancs: arodynamic

More information

Mechanical Properties

Mechanical Properties Mchanical Proprtis Elastic dformation Plastic dformation Fractur Mchanical Proprtis: Th Tnsion Tst s u P L s s y ΔL I II III For matrials proprtis, rplac load-dflction by strss-strain Enginring strss,

More information

Nonlinear electron dynamics in metallic nanostructures

Nonlinear electron dynamics in metallic nanostructures Nonlinar lctron dynamics in mtallic nanostructurs Giovanni MANFREDI Institut d Physiqu t Chimi ds Matériaux d Strasbourg Strasbourg - Franc Giovanni.Manfrdi@ipcms.u-strasbg.fr Mastr Lctur 1 1 Plan of th

More information

ph People Grade Level: basic Duration: minutes Setting: classroom or field site

ph People Grade Level: basic Duration: minutes Setting: classroom or field site ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:

More information

The van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012

The van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012 Th van dr Waals intraction D. E. Sopr 2 Univrsity of Orgon 20 pril 202 Th van dr Waals intraction is discussd in Chaptr 5 of J. J. Sakurai, Modrn Quantum Mchanics. Hr I tak a look at it in a littl mor

More information

Electric Propulsion for Rockets

Electric Propulsion for Rockets Elctric Propulsion for Rockts Elctric Propulsion-1 Elctric Propulsion Systm Elmnts Propllant Gas (X), liquid (N H 4 ), solid (tflon) Storag Enrgy Sourc chmical, nuclar, radiation (solar) Storag Fd Systm

More information

Chapter 1 Late 1800 s Several failures of classical (Newtonian) physics discovered

Chapter 1 Late 1800 s Several failures of classical (Newtonian) physics discovered Chaptr 1 Lat 1800 s Svral failurs of classical (Nwtonian) physics discovrd 1905 195 Dvlopmnt of QM rsolvd discrpancis btwn xpt. and classical thory QM Essntial for undrstanding many phnomna in Chmistry,

More information

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic

More information

Structure of the Atom. Thomson s Atomic Model. Knowledge of atoms in Experiments of Geiger and Marsden 2. Experiments of Geiger and Marsden

Structure of the Atom. Thomson s Atomic Model. Knowledge of atoms in Experiments of Geiger and Marsden 2. Experiments of Geiger and Marsden CHAPTER 4 Structur of th Atom 4.1 Th Atomic Modls of Thomson and Ruthrford 4. Ruthrford Scattring 4.3 Th Classic Atomic Modl 4.4 Th Bohr Modl of th Hydrogn Atom 4.5 Succsss & Failurs of th Bohr Modl 4.6

More information

Electromagnetism Physics 15b

Electromagnetism Physics 15b lctromagntism Physics 15b Lctur #8 lctric Currnts Purcll 4.1 4.3 Today s Goals Dfin lctric currnt I Rat of lctric charg flow Also dfin lctric currnt dnsity J Charg consrvation in a formula Ohm s Law vryon

More information

2. Background Material

2. Background Material S. Blair Sptmbr 3, 003 4. Background Matrial Th rst of this cours dals with th gnration, modulation, propagation, and ction of optical radiation. As such, bic background in lctromagntics and optics nds

More information

NARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 6 XII STD BATCHES [CF] Date: PHYSIS HEMISTRY MTHEMTIS

NARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 6 XII STD BATCHES [CF] Date: PHYSIS HEMISTRY MTHEMTIS . (D). (A). (D). (D) 5. (B) 6. (A) 7. (A) 8. (A) 9. (B). (A). (D). (B). (B). (C) 5. (D) NARAYANA I I T / P M T A C A D E M Y C o m m o n P r a c t i c T s t 6 XII STD BATCHES [CF] Dat: 8.8.6 ANSWER PHYSIS

More information

Detection of Energetic Particles by a Network of HF Propagation Paths in Alaska

Detection of Energetic Particles by a Network of HF Propagation Paths in Alaska Dtction of Enrgtic Particls by a twork of HF Propagation Paths in Alaska A.Y. Wong* HIPAS Obsrvatory, Fairbanks, AK and Dpt of Physics and Astronomy, UCLA *With th assistanc of G. Rosnthal, J. Pau, E.

More information

Unit 7 Charge-to-mass ratio of the electron

Unit 7 Charge-to-mass ratio of the electron Unit 7 Charg-to-ass ratio of th lctron Kywords: J. J. Thoson, Lorntz Forc, Magntic Filds Objctiv: Obsrv th rsults of lctron ba influncd by th agntic fild and calculat th charg-to-ass ratio of th lctron.

More information

Energy Bands, Basics of Transports and Optical Processes in Semiconductors

Energy Bands, Basics of Transports and Optical Processes in Semiconductors NPTEL Elctrical & Elctronics Enginring Smiconductor Nanodvics Enrgy Bands, Basics of Transports and Optical Procsss in Smiconductors R. John Bosco Balaguru Profssor School of Elctrical & Elctronics Enginring

More information

Module 8 Non equilibrium Thermodynamics

Module 8 Non equilibrium Thermodynamics Modul 8 Non quilibrium hrmodynamics ctur 8.1 Basic Postulats NON-EQUIIRIBIUM HERMODYNAMICS Stady Stat procsss. (Stationary) Concpt of ocal thrmodynamic qlbm Extnsiv proprty Hat conducting bar dfin proprtis

More information

Chapter 6 Current and Resistance

Chapter 6 Current and Resistance Chaptr 6 Currnt and Rsistanc 6.1 Elctric Currnt... 1 6.1.1 Currnt Dnsity... 1 6. Ohm s Law... 3 6.3 Elctrical Enrgy and Powr... 6 6.4 Summary... 6.5 Solvd Problms... 8 6.5.1 Rsistivity of a Cabl... 8 6.5.

More information

Precise Masses of particles

Precise Masses of particles /1/15 Physics 1 April 1, 15 Ovrviw of topic Th constitunts and structur of nucli Radioactivity Half-lif and Radioactiv dating Nuclar Binding Enrgy Nuclar Fission Nuclar Fusion Practical Applications of

More information

Determination of Vibrational and Electronic Parameters From an Electronic Spectrum of I 2 and a Birge-Sponer Plot

Determination of Vibrational and Electronic Parameters From an Electronic Spectrum of I 2 and a Birge-Sponer Plot 5 J. Phys. Chm G Dtrmination of Vibrational and Elctronic Paramtrs From an Elctronic Spctrum of I 2 and a Birg-Sponr Plot 1 15 2 25 3 35 4 45 Dpartmnt of Chmistry, Gustavus Adolphus Collg. 8 Wst Collg

More information

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.) Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of

More information

A central nucleus. Protons have a positive charge Electrons have a negative charge

A central nucleus. Protons have a positive charge Electrons have a negative charge Atomic Structur Lss than ninty yars ago scintists blivd that atoms wr tiny solid sphrs lik minut snookr balls. Sinc thn it has bn discovrd that atoms ar not compltly solid but hav innr and outr parts.

More information

Liquid-drop model of electron and atom

Liquid-drop model of electron and atom Liquid-drop modl of lctron and atom F. F. Mnd http://fmnauka.narod.ru mnd_fdor@mail.ru In th articl is xamind th liquid-drop modl of lctron and atom, which assums xistnc of lctron both in th form th ball-shapd

More information

Current and Resistance

Current and Resistance 7 Currnt and Rsistanc CHPTER OUTLNE 71 Elctric Currnt 7 Rsistanc 7 Modl for Elctrical Conduction 74 Rsistanc and Tmpratur 75 Suprconductors 76 Elctric Powr NSWERS TO QUESTONS Q71 ndividual vhicls cars,

More information

DIELECTRIC AND MAGNETIC PROPERTIES OF MATERIALS

DIELECTRIC AND MAGNETIC PROPERTIES OF MATERIALS DILCTRIC AD MAGTIC PROPRTIS OF MATRIALS Dilctric Proprtis: Dilctric matrial Dilctric constant Polarization of dilctric matrials, Typs of Polarization (Polarizability). quation of intrnal filds in liquid

More information

PLASMA PHYSICS VII. PLASMA DIAGNOSTICS

PLASMA PHYSICS VII. PLASMA DIAGNOSTICS PLASMA PHYSICS VII. PLASMA DIAGNOSTICS Elctrostatic or Langmuir Probs Probs ar insrtd into th plasma to masur T and n. Th probs prturb th plasma lctrically and may b, in th cas of tokamak plasmas, an intolrabl

More information

ELEMENTARY QUANTUM MECHANICS

ELEMENTARY QUANTUM MECHANICS Pag 1 of 9 ELEMENTARY QUANTUM MECHANICS 1. INTRODUCTION Th triumph of modrn physics is th triumph of quantum physics. Quantum physics (mchanics) Grw out of failurs of classical physics Launchd by xprimnts

More information

orbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the

orbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the Lctur 22-1 Byond Bohr Modl Unfortunatly, th classical visualization of th orbiting lctron turns out to b wrong vn though it still givs us a simpl way to think of th atom. Quantum Mchanics is ndd to truly

More information

ELECTRONIC AND OPTICAL PROPERTIES OF GRAPHENE. J. González Instituto de Estructura de la Materia, CSIC, Spain

ELECTRONIC AND OPTICAL PROPERTIES OF GRAPHENE. J. González Instituto de Estructura de la Materia, CSIC, Spain ELECTRONIC AND OPTICAL PROPERTIES O GRAPHENE J. Gonzálz Instituto d Estructura d la Matria, CSIC, Spain 1985 1991 004 007 01 015 Graphn has opnd th way to invstigat th bhavior of a gnuin two dimnsional

More information

Herre van der Zant. Molecular Electronics and Devices group

Herre van der Zant. Molecular Electronics and Devices group transport through (magntic) nanoscal objcts Hrr van dr Zant Molcular Elctronics and Dvics group transport mchanisms: Ohms law lctrons ar viwd as particls in a pinball machin, bouncing around rsistanc rsults

More information

ATMO 551a Homework 6 solutions Fall 08

ATMO 551a Homework 6 solutions Fall 08 . A rising air parcl in th cor of a thundrstorm achivs a vrtical vlocity of 8 m/s similar to th midtrm whn it rachs a nutral buoyancy altitud at approximatly 2 km and 2 mb. Assum th background atmosphr

More information

5.80 Small-Molecule Spectroscopy and Dynamics

5.80 Small-Molecule Spectroscopy and Dynamics MIT OpnCoursWar http://ocw.mit.du 5.80 Small-Molcul Spctroscopy and Dynamics Fall 008 For information about citing ths matrials or our Trms of Us, visit: http://ocw.mit.du/trms. Lctur # 3 Supplmnt Contnts

More information

7.4 Potential Difference and Electric Potential

7.4 Potential Difference and Electric Potential 7.4 Potntial Diffrnc and Elctric Potntial In th prvious sction, you larnd how two paralll chargd surfacs produc a uniform lctric fild. From th dfinition of an lctric fild as a forc acting on a charg, it

More information

Electronic Supplementary Information (ESI)

Electronic Supplementary Information (ESI) Elctronic Supplmntary Matrial (ESI) for RSC Advancs. This journal is Th Royal Socity of Chmistry 2015 Elctronic Supplmntary Information (ESI) Bouqut-lik calcium sulfat dihydrat: a highly fficint adsorbnt

More information

0 +1e Radionuclides - can spontaneously emit particles and radiation which can be expressed by a nuclear equation.

0 +1e Radionuclides - can spontaneously emit particles and radiation which can be expressed by a nuclear equation. Radioactivity Radionuclids - can spontanously mit particls and radiation which can b xprssd by a nuclar quation. Spontanous Emission: Mass and charg ar consrvd. 4 2α -β Alpha mission Bta mission 238 92U

More information

Finite Element Modelling of Laser Beam Machining For Titanium 5553 Alloy

Finite Element Modelling of Laser Beam Machining For Titanium 5553 Alloy Finit Elmnt Modlling of Lasr Bam Machining For Titanium 5553 Alloy D. Vnkata Krishna 1, Aashish Mallik 2, Gansh Kharl 3, A. Kumara Swamy 4, E. Ranjith Kumar 5 Abstract Arospac industry has bn thriving

More information

Lecture Outline. Skin Depth Power Flow 8/7/2018. EE 4347 Applied Electromagnetics. Topic 3e

Lecture Outline. Skin Depth Power Flow 8/7/2018. EE 4347 Applied Electromagnetics. Topic 3e 8/7/018 Cours Instructor Dr. Raymond C. Rumpf Offic: A 337 Phon: (915) 747 6958 E Mail: rcrumpf@utp.du EE 4347 Applid Elctromagntics Topic 3 Skin Dpth & Powr Flow Skin Dpth Ths & Powr nots Flow may contain

More information

Coupled Pendulums. Two normal modes.

Coupled Pendulums. Two normal modes. Tim Dpndnt Two Stat Problm Coupld Pndulums Wak spring Two normal mods. No friction. No air rsistanc. Prfct Spring Start Swinging Som tim latr - swings with full amplitud. stationary M +n L M +m Elctron

More information

Pair (and Triplet) Production Effect:

Pair (and Triplet) Production Effect: Pair (and riplt Production Effct: In both Pair and riplt production, a positron (anti-lctron and an lctron (or ngatron ar producd spontanously as a photon intracts with a strong lctric fild from ithr a

More information

IDEAS TO IMPLEMENTION QUESTIONS & PROBLEMS SOLUTION QUIDELINES

IDEAS TO IMPLEMENTION QUESTIONS & PROBLEMS SOLUTION QUIDELINES DO PHYSICS ONLINE IDEAS TO IMPLEMENTION QUESTIONS & PROBLEMS SOLUTION QUIDELINES How to answr a qustion: problm solving (t0_37.pdf) p1.3 Wavs transfr nrgy without any matrial bing transformd. At first

More information

A nonequilibrium molecular dynamics simulation of evaporation

A nonequilibrium molecular dynamics simulation of evaporation Intrnational Confrnc Passiv and Low Enrgy Cooling 543 A nonquilibrium molcular dynamics simulation of vaporation Z.-J. Wang, M. Chn and Z.-Y. Guo Dpartmnt of Enginring Mchanics, Tsinghua Univrsity, Bijing

More information

Background: We have discussed the PIB, HO, and the energy of the RR model. In this chapter, the H-atom, and atomic orbitals.

Background: We have discussed the PIB, HO, and the energy of the RR model. In this chapter, the H-atom, and atomic orbitals. Chaptr 7 Th Hydrogn Atom Background: W hav discussd th PIB HO and th nrgy of th RR modl. In this chaptr th H-atom and atomic orbitals. * A singl particl moving undr a cntral forc adoptd from Scott Kirby

More information

Extraction of Doping Density Distributions from C-V Curves

Extraction of Doping Density Distributions from C-V Curves Extraction of Doping Dnsity Distributions from C-V Curvs Hartmut F.-W. Sadrozinski SCIPP, Univ. California Santa Cruz, Santa Cruz, CA 9564 USA 1. Connction btwn C, N, V Start with Poisson quation d V =

More information

Studies of Turbulence and Transport in Alcator C-Mod Ohmic Plasmas with Phase Contrast Imaging and Comparisons with GYRO*

Studies of Turbulence and Transport in Alcator C-Mod Ohmic Plasmas with Phase Contrast Imaging and Comparisons with GYRO* Studis of Turbulnc and Transport in Ohmic Plasmas with Phas Contrast Imaging and Comparisons with GYRO* L. Lin 1, M. Porkolab 1, E.M. Edlund 1, J.C. Rost 1, M. Grnwald 1, D.R. Mikklsn 2, N. Tsujii 1 1

More information

HYSTERESIS AND BLEACHING OF ABSORPTION BY ELECTRONS ON HELIUM

HYSTERESIS AND BLEACHING OF ABSORPTION BY ELECTRONS ON HELIUM HYSERESIS AND BLEACHING O ABSORPION BY ELECRONS ON HELIUM D. Ryvkin, 1 M.J. La, and M.I. Dykman 1 1 Dpartmnt of Physics and Astronomy, Michigan Stat Univrsity Royal Holloway, Univrsity of London Dynamics

More information

Phys 446: Solid State Physics / Optical Properties. Lattice vibrations: Thermal, acoustic, and optical properties. Fall v =

Phys 446: Solid State Physics / Optical Properties. Lattice vibrations: Thermal, acoustic, and optical properties. Fall v = Phys 446: Solid Stat Physics / Optical Proprtis Lattic vibrations: Thrmal, acoustic, and optical proprtis Solid Stat Physics Last wk: (Ch. 3) Phonons Today: Einstin and Dby modls for thrmal capacity Thrmal

More information

HIGH ENERGY DENSITY PHYSICS

HIGH ENERGY DENSITY PHYSICS Outlin Atomic Procsss in Dns Plasmas H.-K. Chung Atomic and Molcular Data Unit Nuclar Data Sction Joint ICTP- Advancd School on Modrn Mthods in Plasma Spctroscopy Trist, Italy 26 March 215 Intrnational

More information

Title: Vibrational structure of electronic transition

Title: Vibrational structure of electronic transition Titl: Vibrational structur of lctronic transition Pag- Th band spctrum sn in th Ultra-Violt (UV) and visibl (VIS) rgions of th lctromagntic spctrum can not intrprtd as vibrational and rotational spctrum

More information

Preliminary Fundamentals

Preliminary Fundamentals 1.0 Introduction Prliminary Fundamntals In all of our prvious work, w assumd a vry simpl modl of th lctromagntic torqu T (or powr) that is rquird in th swing quation to obtain th acclrating torqu. This

More information

CHAPTER 5 FREE ELECTRON THEORY

CHAPTER 5 FREE ELECTRON THEORY CHAPTER 5 REE ELECTRON THEORY r Elctron Thory Many solids conduct lctricity. Thr ar lctrons that ar not bound to atos but ar abl to ov through th whol crystal. Conducting solids fall into two ain classs;

More information

PRINCIPLES OF PLASMA PROCESSING Course Notes: Prof. J. P. Chang Part B3: ATOMIC COLLISIONS AND SPECTRA

PRINCIPLES OF PLASMA PROCESSING Course Notes: Prof. J. P. Chang Part B3: ATOMIC COLLISIONS AND SPECTRA Atomic Collisions and Spctra 125 PRINCIPLES OF PLASMA PROCESSING Cours Nots: Prof. J. P. Chang Part B3: ATOMIC COLLISIONS AND SPECTRA I. ATOMIC ENERGY LEVELS Atoms and molculs mit lctromagntic radiation

More information

MHD Effects in Laser-Produced Plasmas

MHD Effects in Laser-Produced Plasmas MHD Effcts in Lasr-Producd Plasmas OLEG POLOMAROV and RICCARDO BETTI Fusion Scinc Cntr and Laboratory for Lasr Enrgtics Univrsity of Rochstr Abstract Th implmntation of th magnto-hydrodynamic (MHD) modul

More information