Davisson Germer experiment Announcements:
|
|
- Shavonne Lewis
- 6 years ago
- Views:
Transcription
1 Davisson Grmr xprimnt Announcmnts: Homwork st 7 is du Wdnsday. Problm solving sssions M3-5, T3-5. Th 2 nd midtrm will b April 7 in MUEN E0046 at 7:30pm. BFFs: Davisson and Grmr. Today w will go ovr th Davisson-Grmr xprimnt. Physics 2170 Spring
2 Particls with mass can also hav a wavlngth For photons w know how to rlat momntum and wavlngth Combind (and provn by Compton ffct): p = h γ / d Brogli proposd th sam rlationship for massiv particls Th d Brogli wavlngth: λ = h / p λ Supposing th hydrogn atom lctron is a standing wav with this wavlngth lads to quantization of angular momntum and nrgy in agrmnt with th Bohr modl. But w want mor proof that an lctron is a wav. Physics 2170 Spring
3 Two slit intrfrnc with light Huygn s Principl: wavs sprad as sphrical wavs. Physics 2170 Spring
4 Doubl-slit xprimnt L bright 0.5 mm =d θ r 1 r 2 H r = r 2 -r 1 r = mλ (whr m=1,2,3 ) bright d θ θ 1 θ 2 Scrn far away so θ 1 ~θ 2 ~θ & small angl approx: sinθ=θ r = d sinθ = dθ = mλ bright H = L sinθ = Lθ H = mlλ d Physics 2170 Spring
5 Doubl-slit xprimnt L r 1 r 2 H 5 x10-4 m = d θ r = r 2 -r 1 r = mλ (whr m=1,2,3 ) r = mλ = d sinθ = dθ = mλ Calculating th pattrn for light m = 1, λ = 500 nm, so angl to first bright θ = λ/d = 500 x 10-9 /(5 x 10-4 ) = rad if L = 3 m, thn H = 3 m x = 3 mm. H = Lθ So what will th pattrn look lik with lctrons? Physics 2170 Spring
6 Enrgy and momntum rlationships Masslss particls (photons): Visibl light photons: E = pc = hc / λ 19 E = 2.5 V = J p = E / c = h / λ λ = h / p = hc / E p = V/ c = kg m/s v 8 = c = 3 10 m/s λ = 500 nm Massiv particls (lctrons): p K = 2 mv = = 2 2m 2 λ p = 2mK = h / λ λ = m h h / p = h / 2mK p Low nrgy lctrons: 18 K = 25 V = J = V/ c = kg m/s 6 v = 3 10 m/s = 0.01c λ = 0.25 nm Physics 2170 Spring
7 Clickr qustion 1 St frquncy to DA Th lowst nrgy (usful) lctrons ar around 25 V. W just found ths lctrons hav a wavlngth of 0.25 nm. If w us th sam two slits as for visibl light (d = 0.5 mm), how far apart ar th m=0 and m=1 maxima on a scrn 3 m away? A. 3 mm r = mλ =d sinθ = dθ = mλ H = L sinθ = Lθ B. 1.5 mm C.3 µm (3 m)(1)(0.25 nm) D.1.5 µm H = Lmλ = = 1.5 µ m E. 3 nm d 0.5 mm Th wavlngth of ths lctrons (0.25 nm) is 2000 tims smallr than visibl light (500 nm) so th angl and intrfrnc spacing is 2000 tims smallr for th sam slit spacing. This is too small to s. Nd slits that ar much closr. Clu coms from X-ray diffraction Physics 2170 Spring
8 Using atoms for slits Brilliant ida: Two slits ar just two sourcs. Hard to gt two sourcs th siz of an atom. Easy to gt two objcts that scattr lctrons that ar th siz of an atom! Physics 2170 Spring
9 Using atoms for slits It is difficult to gt just two atoms nxt to ach othr. But multipl qually sparatd atoms ar asy (crystal lattic) and work vn bttr. Just lik rflction diffraction grating discussd for X-ray diffraction. Physics 2170 Spring
10 Davisson Grmr xprimnt Intrfrnc from lctron scattring off vry clan nickl surfac. Ni dt. lctrons scattr off nickl atoms mov dtctor around and s what angl lctrons com off Physics 2170 Spring
11 Davisson Grmr rsults dt. Plot th rsults for numbr of lctrons vrsus scattring angl and find A pak! # s Ni scatt. angl θ So th probability of finding an lctron at a particular angl is dtrmind by th intrfrnc of d Brogli wavs! Physics 2170 Spring
12 Clickr qustion 2 To furthr prov th d Brogli wav hypothsis, thy incrasd th lctron nrgy. If d Brogli s thory is corrct, what will happn? A. Th pak will gt largr B. Th pak will gt smallr C.Th pak will shift to smallr angl D.Th pak will shift to largr angl E. Nothing will happn. St frquncy to DA # s λ = h / 0 p 50 0 scatt. angl θ d θ = mλ Incrasing nrgy incrass momntum which dcrass th angl θ = m λ = d mh pd θ Davisson Grmr trid this as wll and it workd. 1/p Physics 2170 Spring
13 Mor on mattr wavs Two slit intrfrnc has bn sn with lctrons, protons, nutrons, atoms, and in just th last dcad with Buckyballs which hav 60 carbon atoms. Elctron diffraction, lik X-ray diffraction can b usd to dtrmin th crystal structur of solids Points com from a rgular crystal. Rings com from many crystals randomly arrangd. Physics 2170 Spring
14 Elctron microscop Microscops limitd by th wavlngth of light so visibl light microscops cannot rsolv objcts < 500nm. Elctrons hav much smallr wavlngths so gt bttr rsolution from lctron microscops. Scanning lctron microscop rflcts off th surfac (for xampl of snow flaks) A Transmission lctron microscop snds lctrons through thin sampls Physics 2170 Spring
Davisson Germer experiment
Announcmnts: Davisson Grmr xprimnt Homwork st 5 is today. Homwork st 6 will b postd latr today. Mad a good guss about th Nobl Priz for 2013 Clinton Davisson and Lstr Grmr. Davisson won Nobl Priz in 1937.
More informationAtomic energy levels. Announcements:
Atomic nrgy lvls Announcmnts: Exam solutions ar postd. Problm solving sssions ar M3-5 and Tusday 1-3 in G-140. Will nd arly and hand back your Midtrm Exam at nd of class. http://www.colorado.du/physics/phys2170/
More informationorbiting 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 informationWhy 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 informationChapter 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 informationChapter. 3 Wave & Particles I
Announcmnt Cours wbpag http://highnrgy.phys.ttu.du/~sl/2402/ Txtbook PHYS-2402 Lctur 8 Quiz 1 Class avrag: 14.2 (out of 20) ~ 70% Fb. 10, 2015 HW2 (du 2/19) 13, 17, 23, 25, 28, 31, 37, 38, 41, 44 Chaptr.
More informationPhysics 2D Lecture Slides Lecture 12: Jan 28 th 2004
Brian Wcht, th TA, is away this wk. I will substitut for his offic hours (in my offic 3314 Mayr Hall, discussion and PS sssion. Pl. giv all rgrad rqusts to m this wk (only) Quiz 3 Will Covr Sctions.1-.5
More informationREGISTER!!! The Farmer and the Seeds (a parable of scientific reasoning) Class Updates. The Farmer and the Seeds. The Farmer and the Seeds
How dos light intract with mattr? And what dos (this say about) mattr? REGISTER!!! If Schrödingr s Cat walks into a forst, and no on is around to obsrv it, is h rally in th forst? sourc unknown Phys 1010
More informationPhysics 2D Lecture Slides. Oct 21. UCSD Physics. Vivek Sharma
Physics D Lctur Slids Oct 1 Vivk Sharma UCSD Physics Modrn Viw of Photolctric Effct E = hf = KE+ ϕ Is h sam in Photolctric Effct as in BBQ Radiation? Slop h = 6.66 x 10-34 JS Einstin Nobl Priz! No mattr
More informationHydrogen Atom and One Electron Ions
Hydrogn Atom and On Elctron Ions Th Schrödingr quation for this two-body problm starts out th sam as th gnral two-body Schrödingr quation. First w sparat out th motion of th cntr of mass. Th intrnal potntial
More informationIntroduction to the quantum theory of matter and Schrödinger s equation
Introduction to th quantum thory of mattr and Schrödingr s quation Th quantum thory of mattr assums that mattr has two naturs: a particl natur and a wa natur. Th particl natur is dscribd by classical physics
More informationFrom Classical to Quantum mechanics
From Classical to Quantum mcanics Engl & Rid 99-300 vrij Univrsitit amstrdam Classical wav baviour Ligt is a wav Two-slit xprimnt wit potons (81-85) 1 On sourc Intrfrnc sourcs ttp://www.falstad.com/matpysics.tml
More informationBackground: 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 informationPhysics 43 HW #9 Chapter 40 Key
Pysics 43 HW #9 Captr 4 Ky Captr 4 1 Aftr many ours of dilignt rsarc, you obtain t following data on t potolctric ffct for a crtain matrial: Wavlngt of Ligt (nm) Stopping Potntial (V) 36 3 4 14 31 a) Plot
More informationCh. 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 informationY 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall
Staning Wav Intrfrnc btwn th incint & rflct wavs Staning wav A string with on n fix on a wall Incint: y, t) Y cos( t ) 1( Y 1 ( ) Y (St th incint wav s phas to b, i.., Y + ral & positiv.) Rflct: y, t)
More informationGradebook & Midterm & Office Hours
Your commnts So what do w do whn on of th r's is 0 in th quation GmM(1/r-1/r)? Do w nd to driv all of ths potntial nrgy formulas? I don't undrstand springs This was th first lctur I actually larnd somthing
More informationLecture 37 (Schrödinger Equation) Physics Spring 2018 Douglas Fields
Lctur 37 (Schrödingr Equation) Physics 6-01 Spring 018 Douglas Filds Rducd Mass OK, so th Bohr modl of th atom givs nrgy lvls: E n 1 k m n 4 But, this has on problm it was dvlopd assuming th acclration
More informationSeptember 23, Honors Chem Atomic structure.notebook. Atomic Structure
Atomic Structur Topics covrd Atomic structur Subatomic particls Atomic numbr Mass numbr Charg Cations Anions Isotops Avrag atomic mass Practic qustions atomic structur Sp 27 8:16 PM 1 Powr Standards/ Larning
More informationSchrodinger Equation in 3-d
Schrodingr Equation in 3-d ψ( xyz,, ) ψ( xyz,, ) ψ( xyz,, ) + + + Vxyz (,, ) ψ( xyz,, ) = Eψ( xyz,, ) m x y z p p p x y + + z m m m + V = E p m + V = E E + k V = E Infinit Wll in 3-d V = x > L, y > L,
More information22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.
Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M
More informationBrief Introduction to Statistical Mechanics
Brif Introduction to Statistical Mchanics. Purpos: Ths nots ar intndd to provid a vry quick introduction to Statistical Mchanics. Th fild is of cours far mor vast than could b containd in ths fw pags.
More informationPH300 Modern Physics SP11 Final Essay. Up Next: Periodic Table Molecular Bonding
PH Modrn Physics SP11 Final Essay Thr will b an ssay portion on th xam, but you don t nd to answr thos qustions if you submit a final ssay by th day of th final: Sat. 5/7 It dosnʼt mattr how smart you
More information6. The Interaction of Light and Matter
6. Th Intraction of Light and Mattr - Th intraction of light and mattr is what maks lif intrsting. - Light causs mattr to vibrat. Mattr in turn mits light, which intrfrs with th original light. - Excitd
More informationClassical Magnetic Dipole
Lctur 18 1 Classical Magntic Dipol In gnral, a particl of mass m and charg q (not ncssarily a point charg), w hav q g L m whr g is calld th gyromagntic ratio, which accounts for th ffcts of non-point charg
More informationPhysics 2D Lecture Slides Lecture 14: Feb 1 st 2005
Physics D Lctur Slids Lctur 14: Fb 1 st 005 Vivk Sharma UCSD Physics Compton Effct: what should Happn Classically? Plan wav [f,λ] incidnt on a surfac with loosly bound lctrons intraction of E fild of EM
More informationThe 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 informationContemporary, 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 informationPair (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 informationNuclear reactions The chain reaction
Nuclar ractions Th chain raction Nuclar ractions Th chain raction For powr applications want a slf-sustaind chain raction. Natural U: 0.7% of 235 U and 99.3% of 238 U Natural U: 0.7% of 235 U and 99.3%
More informationExtraction 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 informationCoupled 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 informationA 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 informationde Broglie Waves h p de Broglie argued Light exhibits both wave and particle properties
de Broglie argued de Broglie Waves Light exhibits both wave and particle properties Wave interference, diffraction Particle photoelectric effect, Compton effect Then matter (particles) should exhibit both
More informationE hf. hf c. 2 2 h 2 2 m v f ' f 2f ' f cos c
EXPERIMENT 9: COMPTON EFFECT Rlatd Topics Intractions of photons with lctrons, consrvation of momntum and nrgy, inlastic and lastic scattring, intraction cross sction, Compton wavlngth. Principl Whn photons
More informationChapter 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 informationGamma-ray burst spectral evolution in the internal shock model
Gamma-ray burst spctral volution in th intrnal shock modl in collaboration with: Žljka Marija Bošnjak Univrsity of Rijka, Croatia Frédéric Daign (Institut d Astrophysiqu d Paris) IAU$Symposium$324$0$Ljubljana,$Sptmbr$2016$
More informationNeutrino Physics. Caren Hagner, Universität Hamburg
Nutrino Physics Carn Hagnr, Univrsität Hamburg What ar nutrinos? Nutrino mass and mixing Nutrino oscillations Nutrino bams: OPERA Oscillation of acclrator nutrinos Solar Nutrinos: BOREXINO (KamLAND ractor
More informationThe 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 informationAlpha and beta decay equation practice
Alpha and bta dcay quation practic Introduction Alpha and bta particls may b rprsntd in quations in svral diffrnt ways. Diffrnt xam boards hav thir own prfrnc. For xampl: Alpha Bta α β alpha bta Dspit
More informationCollisions between electrons and ions
DRAFT 1 Collisions btwn lctrons and ions Flix I. Parra Rudolf Pirls Cntr for Thortical Physics, Unirsity of Oxford, Oxford OX1 NP, UK This rsion is of 8 May 217 1. Introduction Th Fokkr-Planck collision
More informationTitle: 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 informationThe Death of Stars - II.
Th Dath of Stars - II. Larning Objctivs! How can w us H-R diagrams to masur th ag of star clustrs (and hnc th ag of our Univrs)?! Why do high and low mass stars volv diffrntly? How ar havy lmnts such as
More informationExam 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 informationPhys 402: Nonlinear Spectroscopy: SHG and Raman Scattering
Rquirmnts: Polariation of Elctromagntic Wavs Phys : Nonlinar Spctroscopy: SHG and Scattring Gnral considration of polariation How Polarirs work Rprsntation of Polariation: Jons Formalism Polariation of
More informationDetermination 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 informationde/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 informationWhat makes laser light special? Lasers. Lasers. Laser history. Lasers are everywhere! Review of atom discharge lamps. So how do we make laser light?
Lasrs Lasrs What is diffrnt/spcial about lasr light. How dos a lasr work. - rviw atomic discharg lamps. - how light intracts with atoms - how ths idas ar usd to mak lasr. "You know, I hav on simpl rqust.
More informationStructure 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 informationMolecular Orbitals in Inorganic Chemistry
Outlin olcular Orbitals in Inorganic Chmistry Dr. P. Hunt p.hunt@imprial.ac.uk Rm 167 (Chmistry) http://www.ch.ic.ac.uk/hunt/ octahdral complxs forming th O diagram for Oh colour, slction ruls Δoct, spctrochmical
More informationQuasi-Classical States of the Simple Harmonic Oscillator
Quasi-Classical Stats of th Simpl Harmonic Oscillator (Draft Vrsion) Introduction: Why Look for Eignstats of th Annihilation Oprator? Excpt for th ground stat, th corrspondnc btwn th quantum nrgy ignstats
More informationNeutrinos are chargeless, nearly massless particles Most abundant particle in the Universe Interact with matter via weak nuclear force
By Wndi Wamlr Nutrinos ar charglss, narly masslss articls Most abundant articl in th Univrs Intract with mattr via wak nuclar forc Narly transarnt to mattr Only known ty of articl that can sca from th
More information4E : The Quantum Universe. Lecture 5, April 5 Vivek Sharma
4E : Th Quantum Univrs Lctur 5, April 5 Vivk Sharma modphys@hpmail.ucsd.du An X-ray Tub from 0 th Cntury Xray Th High Enrgy Acclrator of 1900s: producd nrgtic light : X Ray, gav nw optic to subatomic world
More informationLearning Spherical Convolution for Fast Features from 360 Imagery
Larning Sphrical Convolution for Fast Faturs from 36 Imagry Anonymous Author(s) 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 3 3 33 34 35 In this fil w provid additional dtails to supplmnt th main papr
More information2. 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 informationToday. Wave-Matter Duality. Quantum Non-Locality. What is waving for matter waves?
Today Wav-Mattr Duality HW 7 and Exam 2 du Thurs. 8pm 0 min rcap from last lctur on QM Finish QM odds and nds from ch.4 Th Standard Modl 4 forcs of Natur Fundamntal particls of Natur Fynman diagrams EM
More informationThe 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 informationConstants and Conversions:
EXAM INFORMATION Radial Distribution Function: P 2 ( r) RDF( r) Br R( r ) 2, B is th normalization constant. Ordr of Orbital Enrgis: Homonuclar Diatomic Molculs * * * * g1s u1s g 2s u 2s u 2 p g 2 p g
More informationChapter 7b Electron Spin and Spin- Orbit Coupling
Wintr 3 Chm 356: Introductory Quantum Mchanics Chaptr 7b Elctron Spin and Spin- Orbit Coupling... 96 H- atom in a Magntic Fild: Elctron Spin... 96 Total Angular Momntum... 3 Chaptr 7b Elctron Spin and
More informationELEMENTARY 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 informationHigh 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 informationStudies 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 informationSearch sequence databases 3 10/25/2016
Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an
More informationIV. e + e annihilation experiments 1. Experimental methods Discovery of the Tau-Lepton 5. hadrons 6. Hadronic resonances
IV. annihilation xprimnts 1. Exprimntal mthods. 3. 4. Discovry of th Tau-Lpton 5. (γ ) µ µ (γ ) hadrons 6. Hadronic rsonancs Lit.: H.U Martyn, Tst of QED in Quantum Elctrodynamics, T.Kinoshita (d.) 1.
More informationELECTRON-MUON SCATTERING
ELECTRON-MUON SCATTERING ABSTRACT Th lctron charg is considrd to b distributd or xtndd in spac. Th diffrntial of th lctron charg is st qual to a function of lctron charg coordinats multiplid by a four-dimnsional
More informationPHY 114 A General Physics II 11 AM-12:15 PM TR Olin 101. Plan for Lecture 4:
PHY 114 A Gnral Physics II 11 AM-1:15 PM TR Olin 101 Plan for Lctur 4: 1. Introuction to th lctric potntial.rlationship btwn th lctric potntial an th lctric fil 1/31/01 PHY 114 A Spring 01 -- Lctur 4 1
More informationAddition of angular momentum
Addition of angular momntum April, 0 Oftn w nd to combin diffrnt sourcs of angular momntum to charactriz th total angular momntum of a systm, or to divid th total angular momntum into parts to valuat th
More informationLast time. Resistors. Circuits. Question. Quick Quiz. Quick Quiz. ( V c. Which bulb is brighter? A. A B. B. C. Both the same
Last tim Bgin circuits Rsistors Circuits Today Rsistor circuits Start rsistor-capacitor circuits Physical layout Schmatic layout Tu. Oct. 13, 2009 Physics 208 Lctur 12 1 Tu. Oct. 13, 2009 Physics 208 Lctur
More informationBETA DECAY VISUAL PHYSICS ONLINE
VISUAL PHYSICS ONLINE BETA DECAY Suppos now that a nuclus xists which has ithr too many or too fw nutrons rlativ to th numbr of protons prsnt for stability. Stability can b achivd by th convrsion insid
More informationEigenvalue Distributions of Quark Matrix at Finite Isospin Chemical Potential
Tim: Tusday, 5: Room: Chsapak A Eignvalu Distributions of Quark Matri at Finit Isospin Chmical Potntial Prsntr: Yuji Sasai Tsuyama National Collg of Tchnology Co-authors: Grnot Akmann, Atsushi Nakamura
More informationRadiation 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 informationChapter 10: Wave Properties of Particles
Chapter 10: Wave Properties of Particles Particles such as electrons may demonstrate wave properties under certain conditions. The electron microscope uses these properties to produce magnified images
More informationPropositional Logic. Combinatorial Problem Solving (CPS) Albert Oliveras Enric Rodríguez-Carbonell. May 17, 2018
Propositional Logic Combinatorial Problm Solving (CPS) Albrt Olivras Enric Rodríguz-Carbonll May 17, 2018 Ovrviw of th sssion Dfinition of Propositional Logic Gnral Concpts in Logic Rduction to SAT CNFs
More informationPhysics 256: Lecture 2. Physics
Physcs 56: Lctur Intro to Quantum Physcs Agnda for Today Complx Numbrs Intrfrnc of lght Intrfrnc Two slt ntrfrnc Dffracton Sngl slt dffracton Physcs 01: Lctur 1, Pg 1 Constructv Intrfrnc Ths wll occur
More informationPHYSICS 489/1489 LECTURE 7: QUANTUM ELECTRODYNAMICS
PHYSICS 489/489 LECTURE 7: QUANTUM ELECTRODYNAMICS REMINDER Problm st du today 700 in Box F TODAY: W invstigatd th Dirac quation it dscribs a rlativistic spin /2 particl implis th xistnc of antiparticl
More informationOn 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 informationDerivation of Electron-Electron Interaction Terms in the Multi-Electron Hamiltonian
Drivation of Elctron-Elctron Intraction Trms in th Multi-Elctron Hamiltonian Erica Smith Octobr 1, 010 1 Introduction Th Hamiltonian for a multi-lctron atom with n lctrons is drivd by Itoh (1965) by accounting
More informationAddition of angular momentum
Addition of angular momntum April, 07 Oftn w nd to combin diffrnt sourcs of angular momntum to charactriz th total angular momntum of a systm, or to divid th total angular momntum into parts to valuat
More informationfiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics
Atoic and olcular Physics JEST Q. Th binding nrgy of th hydrogn ato (lctron bound to proton) is.6 V. Th binding nrgy of positroniu (lctron bound to positron) is (a).6 / V (b).6 / 8 V (c).6 8 V (d).6 V.6
More informationZero Point Energy: Thermodynamic Equilibrium and Planck Radiation Law
Gaug Institut Journa Vo. No 4, Novmbr 005, Zro Point Enrgy: Thrmodynamic Equiibrium and Panck Radiation Law Novmbr, 005 vick@adnc.com Abstract: In a rcnt papr, w provd that Panck s radiation aw with zro
More informationSearching Linked Lists. Perfect Skip List. Building a Skip List. Skip List Analysis (1) Assume the list is sorted, but is stored in a linked list.
3 3 4 8 6 3 3 4 8 6 3 3 4 8 6 () (d) 3 Sarching Linkd Lists Sarching Linkd Lists Sarching Linkd Lists ssum th list is sortd, but is stord in a linkd list. an w us binary sarch? omparisons? Work? What if
More information1 Minimum Cut Problem
CS 6 Lctur 6 Min Cut and argr s Algorithm Scribs: Png Hui How (05), Virginia Dat: May 4, 06 Minimum Cut Problm Today, w introduc th minimum cut problm. This problm has many motivations, on of which coms
More informationHow can I control light? (and rule the world?)
How can I control light? (and rul th world?) "You know, I hav on simpl rqust. And that is to hav sharks with frickin' lasr bams attachd to thir hads! - Dr. Evil Phys 230, Day 35 Qustions? Spctra (colors
More informationLecture 14. Relic neutrinos Temperature at neutrino decoupling and today Effective degeneracy factor Neutrino mass limits Saha equation
Lctur Rlc nutrnos mpratur at nutrno dcoupln and today Effctv dnracy factor Nutrno mass lmts Saha quaton Physcal Cosmoloy Lnt 005 Rlc Nutrnos Nutrnos ar wakly ntractn partcls (lptons),,,,,,, typcal ractons
More informationChemical 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 informationWhere k is either given or determined from the data and c is an arbitrary constant.
Exponntial growth and dcay applications W wish to solv an quation that has a drivativ. dy ky k > dx This quation says that th rat of chang of th function is proportional to th function. Th solution is
More informationHYSTERESIS 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 informationAPP-IV Introduction to Astro-Particle Physics. Maarten de Jong
APP-IV Introduction to Astro-Particl Physics Maartn d Jong 1 cosmology in a nut shll Hubbl s law cosmic microwav background radiation abundancs of light lmnts (H, H, ) Hubbl s law (199) 1000 vlocity [km/s]
More informationFirst derivative analysis
Robrto s Nots on Dirntial Calculus Chaptr 8: Graphical analysis Sction First drivativ analysis What you nd to know alrady: How to us drivativs to idntiy th critical valus o a unction and its trm points
More informationA=P=E M-A=N Alpha particle Beta Particle. Periodic table
Nam Pr. Atomic Structur/Nuclar Chmistry (Ch. 3 & 21) OTHS Acadmic Chmistry Objctivs: Undrstand th xprimntal dsign and conclusions usd in th dvlopmnt of modrn atomic thory, including Dalton's Postulats,
More informationPhysics in Entertainment and the Arts
Physics in Entrtainmnt and th Arts Chaptr VI Arithmtic o Wavs Two or mor wavs can coxist in a mdium without having any ct on ach othr Th amplitud o th combind wav at any point in th mdium is just th sum
More informationPrecise 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 informationSPH4U Electric Charges and Electric Fields Mr. LoRusso
SPH4U lctric Chargs an lctric Fils Mr. LoRusso lctricity is th flow of lctric charg. Th Grks first obsrv lctrical forcs whn arly scintists rubb ambr with fur. Th notic thy coul attract small bits of straw
More informationEstimation of the two-photon QED background in Belle II
Estimation of th two-photon QED background in Bll II Elna Ndlkovska, Christian Kisling Max-Planck Institut for physics, Munich Upgrad to th Bll II dtctor Expctd background at Bll II QED xprimnts prformd
More informationPartial Derivatives: Suppose that z = f(x, y) is a function of two variables.
Chaptr Functions o Two Variabls Applid Calculus 61 Sction : Calculus o Functions o Two Variabls Now that ou hav som amiliarit with unctions o two variabls it s tim to start appling calculus to hlp us solv
More informationLECTURE # 17 Modern Optics Matter Waves
PHYS 270-SPRING 2011 LECTURE # 17 Modern Optics Matter Waves April 5, 2011 1 Spectroscopy: Unlocking the Structure of Atoms There are two types of spectra, continuous spectra and discrete spectra: Hot,
More informationECE 344 Microwave Fundamentals
ECE 44 Microwav Fundamntals Lctur 08: Powr Dividrs and Couplrs Part Prpard By Dr. hrif Hkal 4/0/08 Microwav Dvics 4/0/08 Microwav Dvics 4/0/08 Powr Dividrs and Couplrs Powr dividrs, combinrs and dirctional
More informationComputing and Communications -- Network Coding
89 90 98 00 Computing and Communications -- Ntwork Coding Dr. Zhiyong Chn Institut of Wirlss Communications Tchnology Shanghai Jiao Tong Univrsity China Lctur 5- Nov. 05 0 Classical Information Thory Sourc
More informationsurface of a dielectric-metal interface. It is commonly used today for discovering the ways in
Surfac plasmon rsonanc is snsitiv mchanism for obsrving slight changs nar th surfac of a dilctric-mtal intrfac. It is commonl usd toda for discovring th was in which protins intract with thir nvironmnt,
More informationLecture 28 Title: Diatomic Molecule : Vibrational and Rotational spectra
Lctur 8 Titl: Diatomic Molcul : Vibrational and otational spctra Pag- In this lctur w will undrstand th molcular vibrational and rotational spctra of diatomic molcul W will start with th Hamiltonian for
More information