Chap. 3. Elementary Quantum Physics
|
|
- Amy Davis
- 5 years ago
- Views:
Transcription
1 Chap. 3. Elementary Quantum Physics 3.1 Photons - Light: e.m "waves" - interference, diffraction, refraction, reflection with y E y Velocity = c Direction of Propagation z B z Fig. 3.1: The classical view of light as an electromagnetic wave. An electromagnetic wave is a travelling wave which has time varying electric and magnetic fields which are perpendicular to each other and to the direction of propagation.
2 The instantaneous intensity (energy flow per unit area per second) *Light: a stream of discrete energy packets (photons: "particles" of zero rest-mass), each carrying energy and momentum. - Young's interference eperiment: Path difference = for constructive interference = for destructive interference - Bragg's law: -ray beam from "a single crystal" (diffracted patterns of "spots") or "a polycrystalline material, powered crystal" (diffracted patterns of bright "rings" - no unique orientation of crystal aes) Eistence of a diffracted beam:
3 Photographic film Photographic film X-rays Detector 2 θ A θ Scattered X-rays d dsinθ dsinθ Scattered X-rays Single crystal Powdered crystal or polycrystalline material d B X-rays with all X-rays with single wavelengths wavelength (c) (a) (b) Fig. 3.3: Diffraction patterns obtained bypassing X-rays through crystals can only be eplained by using ideas based on the interference of waves. (a) Diffraction of X-rays from a single crystal gives a diffraction pattern of bright spots on a photographic film. (b) Diffraction of X-rays from a powdered crystalline material or a polycrystalline material gives a diffraction pattern of bright rings on a photographic film. (c) X-ray diffraction involves constructive interference of waves being "reflected" by various atomic planes in the crystal. Atomic planes Crystal
4 The Photoelectric Effect For an incident light with emitted (the current I is generated). onto a metal surface, the electrons will be where V o = the negative anode voltage at which the current I etinguishes. where h = Plank's constant. - The work function: KE m Cs K W υ 03 slope = h 0 υ υ 02 υ 01 -Φ 3 -Φ 2 -Φ 1 Fig. 3.6: The effect of varying the frequency of light and the cathode material in the photoelectric eperiment. The lines for the different materials have the same slope of h but different intercepts.
5 Compton Scattering - X-ray scattering by an electron: KE of the elelctron = momentum of the photon Recoiling electron X-ray photon c Electron φ υ, λ y θ Scattered photon υ', λ' c Fig. 3.9: Scattering of an -ray photon by a "free" electron in a conductor.
6 The scattered -rays are detected at various angles with respect to the original direction ( ), their wavelength is measured. Photon energy: Photon momentum: where Source of monochromatic X-rays Collimator X-ray spectrometer λ' λ 0 θ λ 0 X-ray beam Unscattered - rays Path of the spectrometer (a) A schematic diagram of the Compton eperiment. Intensity of X-rays θ = 0 Primary beam Intensity of X-rays θ = 90 Intensity of -rays θ = 135 λ 0 λ λ 0 λ' λ λ 0 λ' λ (b) Results from the Compton eperiment Fig The Compton eperiment and its results.
7 3.1.3, Blackbody Radiation - Rayleigh-Jeans law (classical): and where the spectral irradiance = the emitted radiation intensity (power per unit area) per unit wavelength, so that = the intensity in a small range of wavelength - UV catastrophe in the short wavelength range Escaping black body radiation Hot body Small hole acts as a black body I λ Spectral irradiance K Classical theory Planck's radiation law 2500 K λ ( µm) Fig Schematic illustration of black body radiation and its characteristics. Spectral irradiance vs wavelength at two temperatures (3000K is about the temperature of the incandescent tungsten filament in a light bulb).
8 - Plank's blackbody radiation formula: "Classical" "Quantum mechanically": light quanta = photon 3.2. The Electron as a Wave De Broglie Relationship - Electron: a wave of wavelength (wave-like & particle-like) - Electron diffraction eperiments: where ("real" particle) Time-Independent Schroedinger Equation - A travelling em wave: where = the spatial dependence. - The average intensity
9 - 1926, Ma Born : a probability wave interpretation for "the wave-like behavior of the electron" : a plane traveling wavefunction for an electric field
10 - The wave property of the electron described by : 1) = the probability of finding the electron per unit vol. at (,y,z) at time t. or = the probability in a small vol. ddydz. 2) has physical meaning, not itself. 3) : single-valued (See Fig. 3.14) 4) : continuous (See Fig. 3.14) ψ() ψ() not continuous ψ() dψ not continuous d ψ() ψ() not single valued Fig. 3.14: Unacceptable forms of ψ()
11 - Total wavefunction where, the angular frequency. - Time-independent Schroedinger equation for = the spatial dependence ; in 3-dim. space Infinite Potential Well: A Confined Electron - For a certain region,, an electron is confined. Using the b.c. of, The energy of the electron:
12 V() Electron V = V = 0 V = 0 0 a Energy levels in the well ψ() sin(nπ/a) ψ Probability density ψ() 2 4 E 4 n = 4 Energy of electron E 3 E 2 E 1 0 = 0 n = 3 n = 2 n = 1 = a ψ 3 ψ 2 ψ 1 0 a0 a Fig. 3.15: Electron in a one-dimensional infinite PE well. The energy of the electron is quantized. Possible wavefunctions and the probability distributions for the electron are shown.
13 Normalization condition (A) : The normalized wavefunction - Quantized energy levels: (free electron case: continuous) 3.4. Heisenberg's Uncertainty Principle - For an electron trapped in a 1-dim infinite PE well in the region, The uncertainty in position = a, the uncertainty in momentum = For n = 1 (ground state), - Heisenberg's uncertainty principle: and
14 3.5. Tunneling Phenomena: Quantum Leak: Finite PE Well Start here from rest D A C E B V() E < V o A 1 ψ Ι () Incident (a) V o ψ ΙΙ () ψ ΙΙΙ ( ) A 2 Reflected I II III = 0 = a Transmitted Fig (b) (a) The roller coaster released from A can at most make to C, but not to E. Its PE at A is less than the PE at D. When the car is the bottom its energy is totally KE. CD is the energy barrier which prevents the car making to E. In quantum theory, on the other hand, there is a chance that the car could tunnel (leak) through the potential energy barrier between C and E and emerge on the other side of the hill at E. (b) The wavefunction of the electron incident on a potential energy barrier (Vo). The incident and reflected waves interfere to give ψ I (). There is no reflected wave in region III. In region II the wavefunction decays with because E < Vo.
15 - Three regions: I, II, and III (boundary conditions, C 2 = 0, normalization) where - Transmission coefficient T : the relative probability that the electron will tunnel from I to III. where - For a "wide" or "high" barrier, using where
16 Metal ψ() Vacuum Metal ψ() Vacuum Second Metal V() V o V() V o (a) E < V o I tunnel (b) Probe Scan I tunnel Material surface Image of surface (schematic sketch) (c) Fig. 3.17: (a) The wavefunction decays eponentially as we move away from the surface because the PE outside the metal is Vo and the energy of the electron, E < Vo.. (b) If we bring a second metal close to the first metal, then the wavefunction can penetrate into the second metal. The electron can tunnel from the first metal to the second. (c) The principle of the Scanning Tunneling Microscope. The tunneling current depends on ep(-αa) where a is the distance of the probe from the surface of the material and α is a constant.
17 3.6. Potential Bo (3-Dim. Quantum Numbers) with V= 0 in 0<<a, 0<y<b, and 0<z<c. Let, then Using b.c, - The eigenfunctions of the electron: - The energy eigenvalues: For a=b=c, with = the quantum numbers.
18 3.7. Hydrogen Atom Electron Wavefunctions - Potential: ; the wavefunction: - Principle quantum number: n = 1,2,3,... Orbital angular momentum quantum number: l = 0,1,2,3...(n-1) < n Magnetic quantum number: m l = -l, -(l-1),...0,...(l-1), l - Labeling of various n l possibilities : n=1 (K), L, M, N ; l=0 (s), l=1 (p), l=2 (d), l=3 (f),... - The probability that the electron is in the spherical shell of thickness : Quantized Electron Energy - The electron energy: where
19 Orbital Angular Momentum and Space Quantization - Orbital angular momentum: where where states - Selection rules for EM radiation: Energy 0 n l = 0 l = 1 l = 2 l = 3 l 5 5s 5p 5d 5f 4 4s 4p 4d 4f 3 3s 3p 3d 2 2s 2p Photon -13.6eV 1 1s Fig. 3.27: An illustration of the allowed photon emission processes. Photon emission involves l = ±1.
20 Electron Spin and Intrinsic Angular Momentum S - Spin: - Magnetic dipole moment of the electron: Since, B µ orbital N ω -e = i A (a) = B = S S Spin direction = S Equivalent current N µ spin Magnetic moment (b) Fig. 3.29: (a) The orbitting electron is equivalent to a current loop which behaves like a bar of magnet. (b) The spinning electron ican be imagined to be equivalent to a current loop as shown. This current loop behaves like a bar of magnet just as in orbital case.
21 Total Angular Momentum J - Total angular momentum: J = L + S B z J J z =m j h S L J S L (a) (b) Fig (a) The angular momentum vectors L and S precess around their resultant total angular momentum vector J. (b) The total angular momentum vector is space quantized. Vector J precesses about the z-ais along which its component must be mjh.
22 [Reading Assignment] 3.8. The He Atom and The Periodic Table 3.9. Stimulated Emission and Lasers Time-Dependent Schroedinger Equation [Homework] Prob. #3.5
Quantum Mechanics (made fun and easy)
Lecture 7 Quantum Mechanics (made fun and easy) Why the world needs quantum mechanics Why the world needs quantum mechanics Why the world needs quantum mechanics Why the world needs quantum mechanics Why
More informationSemiconductor Physics and Devices
Introduction to Quantum Mechanics In order to understand the current-voltage characteristics, we need some knowledge of electron behavior in semiconductor when the electron is subjected to various potential
More informationParticles and Waves Particles Waves
Particles and Waves Particles Discrete and occupy space Exist in only one location at a time Position and velocity can be determined with infinite accuracy Interact by collisions, scattering. Waves Extended,
More informationChapter 27. Quantum Physics
Chapter 27 Quantum Physics Need for Quantum Physics Problems remained from classical mechanics that relativity didn t explain Blackbody Radiation The electromagnetic radiation emitted by a heated object
More informationChapter 6 - Electronic Structure of Atoms
Chapter 6 - Electronic Structure of Atoms 6.1 The Wave Nature of Light To understand the electronic structure of atoms, one must understand the nature of electromagnetic radiation Visible light is an example
More informationDept. of Physics, MIT Manipal 1
Chapter 1: Optics 1. In the phenomenon of interference, there is A Annihilation of light energy B Addition of energy C Redistribution energy D Creation of energy 2. Interference fringes are obtained using
More informationLecture 36 Chapter 31 Light Quanta Matter Waves Uncertainty Principle
Lecture 36 Chapter 31 Light Quanta Matter Waves Uncertainty Principle 24-Nov-10 Birth of Quantum Theory There has been a long historical debate about the nature of light: Some believed it to be particle-like.
More informationName : Roll No. :.. Invigilator s Signature :.. CS/B.Tech/SEM-2/PH-201/2010 2010 ENGINEERING PHYSICS Time Allotted : 3 Hours Full Marks : 70 The figures in the margin indicate full marks. Candidates are
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 informationLecture Outline Chapter 30. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.
Lecture Outline Chapter 30 Physics, 4 th Edition James S. Walker Chapter 30 Quantum Physics Units of Chapter 30 Blackbody Radiation and Planck s Hypothesis of Quantized Energy Photons and the Photoelectric
More informationChapter 38. Photons and Matter Waves
Chapter 38 Photons and Matter Waves The sub-atomic world behaves very differently from the world of our ordinary experiences. Quantum physics deals with this strange world and has successfully answered
More informationClass 21. Early Quantum Mechanics and the Wave Nature of Matter. Physics 106. Winter Press CTRL-L to view as a slide show. Class 21.
Early and the Wave Nature of Matter Winter 2018 Press CTRL-L to view as a slide show. Last Time Last time we discussed: Optical systems Midterm 2 Today we will discuss: Quick of X-ray diffraction Compton
More informationQuantum and Atomic Physics - Multiple Choice
PSI AP Physics 2 Name 1. The Cathode Ray Tube experiment is associated with: (A) J. J. Thomson (B) J. S. Townsend (C) M. Plank (D) A. H. Compton 2. The electron charge was measured the first time in: (A)
More information4/14/2015. Models of the Atom. Quantum Physics versus Classical Physics The Thirty-Year War ( ) Classical Model of Atom
Quantum Physics versus Classical Physics The Thirty-Year War (1900-1930) Models of the Atom Interactions between Matter and Radiation Models of the Atom Bohr s Model of the Atom Planck s Blackbody Radiation
More information38. Photons and Matter Waves
38. Potons and Matter Waves Termal Radiation and Black-Body Radiation Color of a Tungsten filament as temperature increases Black Red Yellow Wite T Termal radiation : Te radiation depends on te temperature
More informationChapter 6 Electronic structure of atoms
Chapter 6 Electronic structure of atoms light photons spectra Heisenberg s uncertainty principle atomic orbitals electron configurations the periodic table 6.1 The wave nature of light Visible light is
More informationChapter 30 Quantum Physics 30.1 Blackbody Radiation and Planck s Hypothesis of Quantum Energy 30.2 Photons and the Photoelectric Effect 30.
Chapter 30 Quantum Physics 30.1 Blackbody Radiation and Planck s Hypothesis of Quantum Energy 30.2 Photons and the Photoelectric Effect 30.3 The Mass and Momentum of a Photon 30.4 Photon Scattering and
More informationChemistry Instrumental Analysis Lecture 2. Chem 4631
Chemistry 4631 Instrumental Analysis Lecture 2 Electromagnetic Radiation Can be described by means of a classical sinusoidal wave model. Oscillating electric and magnetic field. (Wave model) wavelength,
More informationOutline Chapter 9 The Atom Photons Photons The Photoelectron Effect Photons Photons
Outline Chapter 9 The Atom 9-1. Photoelectric Effect 9-3. What Is Light? 9-4. X-rays 9-5. De Broglie Waves 9-6. Waves of What? 9-7. Uncertainty Principle 9-8. Atomic Spectra 9-9. The Bohr Model 9-10. Electron
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 27 Modern Physics Quantum Physics Blackbody radiation Plank s hypothesis http://www.physics.wayne.edu/~apetrov/phy2140/ Chapter 27 1 Quantum Physics 2 Introduction: Need
More informationGeneral Physics (PHY 2140) Lecture 14
General Physics (PHY 2140) Lecture 14 Modern Physics 1. Relativity Einstein s General Relativity 2. Quantum Physics Blackbody Radiation Photoelectric Effect X-Rays Diffraction by Crystals The Compton Effect
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS LSN 12-1A: INTERACTIONS OF MATTER WITH RADIATION Questions From Reading Activity? Essential Idea: The microscopic quantum world offers a range of phenomena,
More informationAnnouncements. Lecture 8 Chapter. 3 Wave & Particles I. EM- Waves behaving like Particles. The Compton effect (Arthur Compton 1927) Hypothesis:
Announcements HW3: Ch.3-13, 17, 23, 25, 28, 31, 37, 38, 41, 44 HW3 due: 2/16 ** Lab manual is posted on the course web *** Course Web Page *** http://highenergy.phys.ttu.edu/~slee/2402/ Lecture Notes,
More informationMIDTERM 3 REVIEW SESSION. Dr. Flera Rizatdinova
MIDTERM 3 REVIEW SESSION Dr. Flera Rizatdinova Summary of Chapter 23 Index of refraction: Angle of reflection equals angle of incidence Plane mirror: image is virtual, upright, and the same size as the
More informationCHAPTER 27 Quantum Physics
CHAPTER 27 Quantum Physics Units Discovery and Properties of the Electron Planck s Quantum Hypothesis; Blackbody Radiation Photon Theory of Light and the Photoelectric Effect Energy, Mass, and Momentum
More information12/04/2012. Models of the Atom. Quantum Physics versus Classical Physics The Thirty-Year War ( )
Quantum Physics versus Classical Physics The Thirty-Year War (1900-1930) Interactions between Matter and Radiation Models of the Atom Bohr s Model of the Atom Planck s Blackbody Radiation Models of the
More informationis the minimum stopping potential for which the current between the plates reduces to zero.
Module 1 :Quantum Mechanics Chapter 2 : Introduction to Quantum ideas Introduction to Quantum ideas We will now consider some experiments and their implications, which introduce us to quantum ideas. The
More informationWave properties of matter & Quantum mechanics I. Chapter 5
Wave properties of matter & Quantum mechanics I Chapter 5 X-ray diffraction Max von Laue suggested that if x-rays were a form of electromagnetic radiation, interference effects should be observed. Crystals
More informationLecture 16 Quantum Physics Chapter 28
Lecture 16 Quantum Physics Chapter 28 Particles vs. Waves Physics of particles p = mv K = ½ mv2 Particles collide and do not pass through each other Conservation of: Momentum Energy Electric Charge Physics
More informationChapter 37 Early Quantum Theory and Models of the Atom. Copyright 2009 Pearson Education, Inc.
Chapter 37 Early Quantum Theory and Models of the Atom Planck s Quantum Hypothesis; Blackbody Radiation Photon Theory of Light and the Photoelectric Effect Energy, Mass, and Momentum of a Photon Compton
More informationExplain how Planck resolved the ultraviolet catastrophe in blackbody radiation. Calculate energy of quanta using Planck s equation.
Objectives Explain how Planck resolved the ultraviolet catastrophe in blackbody radiation. Calculate energy of quanta using Planck s equation. Solve problems involving maximum kinetic energy, work function,
More informationElectronic structure of atoms
Chapter 1 Electronic structure of atoms light photons spectra Heisenberg s uncertainty principle atomic orbitals electron configurations the periodic table 1.1 The wave nature of light Much of our understanding
More informationAtomic Structure. Standing Waves x10 8 m/s. (or Hz or 1/s) λ Node
Atomic Structure Topics: 7.1 Electromagnetic Radiation 7.2 Planck, Einstein, Energy, and Photons 7.3 Atomic Line Spectra and Niels Bohr 7.4 The Wave Properties of the Electron 7.5 Quantum Mechanical View
More informationCHAPTER 5 Wave Properties of Matter and Quantum Mechanics I
CHAPTER 5 Wave Properties of Matter and Quantum Mechanics I 5.1 X-Ray Scattering 5.2 De Broglie Waves 5.3 Electron Scattering 5.4 Wave Motion 5.5 Waves or Particles? 5.6 Uncertainty Principle 5.7 Probability,
More informationChapter 5. The Electromagnetic Spectrum. What is visible light? What is visible light? Which of the following would you consider dangerous?
Which of the following would you consider dangerous? X-rays Radio waves Gamma rays UV radiation Visible light Microwaves Infrared radiation Chapter 5 Periodicity and Atomic Structure 2 The Electromagnetic
More informationIt s a wave. It s a particle It s an electron It s a photon. It s light!
It s a wave It s a particle It s an electron It s a photon It s light! What they expected Young s famous experiment using a beam of electrons instead of a light beam. And, what they saw Wave-Particle Duality
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 1-1B: THE INTERACTION OF MATTER WITH RADIATION Introductory Video Quantum Mechanics Essential Idea: The microscopic quantum world offers
More informationQuantum Mechanics Tutorial
Quantum Mechanics Tutorial The Wave Nature of Matter Wave-particle duality and de Broglie s hypothesis. de Broglie matter waves The Davisson-Germer experiment Matter wave packets Heisenberg uncertainty
More informationLecture 0. NC State University
Chemistry 736 Lecture 0 Overview NC State University Overview of Spectroscopy Electronic states and energies Transitions between states Absorption and emission Electronic spectroscopy Instrumentation Concepts
More informationEarly Quantum Theory & Models of the Atom (Ch 27) Discovery of electron. Blackbody Radiation. Blackbody Radiation. J. J. Thomson ( )
Early Quantum Theory & Models of the Atom (Ch 27) Discovery of electron Modern physics special relativity quantum theory J. J. Thomson (1856-1940) measured e/m directly set-up was similar to mass spectrometer
More informationPHYS 4 CONCEPT PACKET Complete
PHYS 4 CONCEPT PACKET Complete Written by Jeremy Robinson, Head Instructor Find Out More +Private Instruction +Review Sessions WWW.GRADEPEAK.COM Need Help? Online Private Instruction Anytime, Anywhere
More informationQuantum Mechanics. Physics April 2002 Lecture 9. Planck Bohr Schroedinger Heisenberg
Quantum Mechanics Physics 102 18 April 2002 Lecture 9 Planck Bohr Schroedinger Heisenberg From: http://www.th.physik.uni-frankfurt.de/~jr/portraits.html 18 Apr 2002 Physics 102 Lecture 9 1 Blackbody radiation
More informationOne-electron Atom. (in spherical coordinates), where Y lm. are spherical harmonics, we arrive at the following Schrödinger equation:
One-electron Atom The atomic orbitals of hydrogen-like atoms are solutions to the Schrödinger equation in a spherically symmetric potential. In this case, the potential term is the potential given by Coulomb's
More information1 P a g e h t t p s : / / w w w. c i e n o t e s. c o m / Physics (A-level)
1 P a g e h t t p s : / / w w w. c i e n o t e s. c o m / Physics (A-level) Electromagnetic induction (Chapter 23): For a straight wire, the induced current or e.m.f. depends on: The magnitude of the magnetic
More informationThe Photoelectric Effect
The Photoelectric Effect Light can strike the surface of some metals causing an electron to be ejected No matter how brightly the light shines, electrons are ejected only if the light has sufficient energy
More informationRED. BLUE Light. Light-Matter
1 Light-Matter This experiment demonstrated that light behaves as a wave. Essentially Thomas Young passed a light of a single frequency ( colour) through a pair of closely spaced narrow slits and on the
More informationChemistry 1B-01, Fall 2013 Lectures 1-2
goals of lectures 1-2 Chemistry 1B Fall 2013 30 Nature of light and matter. Wave-particle duality chap.12 p524-531 lectures 1-2 (ch 12 pp 522-536) 6th [ch 12 pp 522-537] 7th The laws of nature in 1900
More informationChapter 9: Quantization of Light
Chapter 9: Quantization of Light Max Planck started the revolution of quantum theory by challenging the classical physics and the classical wave theory of light. He proposed the concept of quantization
More informationtip conducting surface
PhysicsAndMathsTutor.com 1 1. The diagram shows the tip of a scanning tunnelling microscope (STM) above a conducting surface. The tip is at a potential of 1.0 V relative to the surface. If the tip is sufficiently
More informationElectronic Structure of Atoms. Chapter 6
Electronic Structure of Atoms Chapter 6 Electronic Structure of Atoms 1. The Wave Nature of Light All waves have: a) characteristic wavelength, λ b) amplitude, A Electronic Structure of Atoms 1. The Wave
More informationChapter 38. Photons Light Waves Behaving as Particles
Chapter 38 Photons Light Waves Behaving as Particles 38.1 The Photoelectric Effect The photoelectric effect was first discovered by Hertz in 1887, and was explained by Einstein in 1905. The photoelectric
More information1 Photoelectric effect - Classical treatment. 2 Photoelectric effect - Quantum treatment
1 OF 5 NOTE: This problem set is to be handed in to my mail slot (SMITH) located in the Clarendon Laboratory by 5:00 PM Tuesday, 10 May. 1 Photoelectric effect - Classical treatment A laser beam with an
More information= 6 (1/ nm) So what is probability of finding electron tunneled into a barrier 3 ev high?
STM STM With a scanning tunneling microscope, images of surfaces with atomic resolution can be readily obtained. An STM uses quantum tunneling of electrons to map the density of electrons on the surface
More informationElectromagnetic Radiation
Chapter 6: The Periodic Table and Atomic Structure Electromagnetic Radiation Atomic Spectra The Bohr Atom Quantum Mechanical Model of the Atom Wave Mechanics Quantum Numbers and Electron Orbitals Interpreting
More information1 The Cathode Rays experiment is associated. with: Millikan A B. Thomson. Townsend. Plank Compton
1 The Cathode Rays experiment is associated with: A B C D E Millikan Thomson Townsend Plank Compton 1 2 The electron charge was measured the first time in: A B C D E Cathode ray experiment Photoelectric
More informationFinal Exam. Tuesday, May 8, Starting at 8:30 a.m., Hoyt Hall.
Final Exam Tuesday, May 8, 2012 Starting at 8:30 a.m., Hoyt Hall. Summary of Chapter 38 In Quantum Mechanics particles are represented by wave functions Ψ. The absolute square of the wave function Ψ 2
More informationSTSF2223 Quantum Mechanics I
STSF2223 Quantum Mechanics I What is quantum mechanics? Why study quantum mechanics? How does quantum mechanics get started? What is the relation between quantum physics with classical physics? Where is
More informationThe birth of atomic physics and quantum mechanics. Honors Physics Don Rhine
The birth of atomic physics and quantum mechanics Honors Physics Don Rhine Constants & Atomic Data Look inside back cover of book! Speed of Light (vacuum): c = 3.00 x 10 8 m/s Elementary Charge: e - =
More informationModern Physics for Scientists and Engineers International Edition, 4th Edition
Modern Physics for Scientists and Engineers International Edition, 4th Edition http://optics.hanyang.ac.kr/~shsong Review: 1. THE BIRTH OF MODERN PHYSICS 2. SPECIAL THEORY OF RELATIVITY 3. THE EXPERIMENTAL
More informationParticle nature of light & Quantization
Particle nature of light & Quantization A quantity is quantized if its possible values are limited to a discrete set. An example from classical physics is the allowed frequencies of standing waves on a
More informationPHYS 3313 Section 001 Lecture #16
PHYS 3313 Section 001 Lecture #16 Monday, Mar. 24, 2014 De Broglie Waves Bohr s Quantization Conditions Electron Scattering Wave Packets and Packet Envelops Superposition of Waves Electron Double Slit
More informationQuantum Mechanics for Scientists and Engineers. David Miller
Quantum Mechanics for Scientists and Engineers David Miller Introduction to quantum mechanics Lilght Black-body spectrum Output power (per unit wavelength) For a black body at 5800K approximately like
More informationPARTICLES AND WAVES CHAPTER 29 CONCEPTUAL QUESTIONS
CHAPTER 29 PARTICLES AND WAVES CONCEPTUAL QUESTIONS 1. REASONING AND SOLUTION A monochromatic light source emits photons of a single frequency. According to Equation 29.2, the energy, E, of a single photon
More informationChemistry 1B-01, Fall 2012 Lectures 1-2. Chemistry 1B. Fall lectures 1-2. (ch 12 pp ) 6th [ch 12 pp ] 7th
Chemistry 1B Fall 2012 lectures 1-2 (ch 12 pp 522-536) 6th [ch 12 pp 522-537] 7th 20 goals of lectures 1-2 The laws of nature in 1900 (successful for describing large objects) describe particles AND describe
More informationWe also find the development of famous Schrodinger equation to describe the quantization of energy levels of atoms.
Lecture 4 TITLE: Quantization of radiation and matter: Wave-Particle duality Objectives In this lecture, we will discuss the development of quantization of matter and light. We will understand the need
More informationChapter 27 Early Quantum Theory and Models of the Atom Discovery and Properties of the electron
Chapter 27 Early Quantum Theory and Models of the Atom 27-1 Discovery and Properties of the electron Measure charge to mass ratio e/m (J. J. Thomson, 1897) When apply magnetic field only, the rays are
More informationRevision Guide. Chapter 7 Quantum Behaviour
Revision Guide Chapter 7 Quantum Behaviour Contents CONTENTS... 2 REVISION CHECKLIST... 3 REVISION NOTES... 4 QUANTUM BEHAVIOUR... 4 Random arrival of photons... 4 Photoelectric effect... 5 PHASE AN PHASORS...
More informationExam 4. P202 Spring 2004 Instructor: Prof. Sinova
Exam 4 P202 Spring 2004 Instructor: Prof. Sinova Name: Date: 4/22/04 Section: All work must be shown to get credit for the answer marked. You must show or state your reasoning. If the answer marked does
More informationLecture PowerPoints. Chapter 27 Physics: Principles with Applications, 7th edition Giancoli
Lecture PowerPoints Chapter 27 Physics: Principles with Applications, 7th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
More informationQuantum Theory of the Atom
The Wave Nature of Light Quantum Theory of the Atom Electromagnetic radiation carries energy = radiant energy some forms are visible light, x rays, and radio waves Wavelength ( λ) is the distance between
More informationDavid J. Starling Penn State Hazleton PHYS 214
All the fifty years of conscious brooding have brought me no closer to answer the question, What are light quanta? Of course today every rascal thinks he knows the answer, but he is deluding himself. -Albert
More informationQuantum Interference and Duality
Quantum Interference and Duality Kiyohide NOMURA Department of Physics December 21, 2016 1 / 49 Quantum Physics(Mechanics) Basic notion of Quantum Physics: Wave-Particle Duality Light (electromagnetic
More informationA) n L < 1.0 B) n L > 1.1 C) n L > 1.3 D) n L < 1.1 E) n L < 1.3
1. A beam of light passes from air into water. Which is necessarily true? A) The frequency is unchanged and the wavelength increases. B) The frequency is unchanged and the wavelength decreases. C) The
More informationMANIPAL INSTITUTE OF TECHNOLOGY
SCHEME OF EVAUATION MANIPA INSTITUTE OF TECHNOOGY MANIPA UNIVERSITY, MANIPA SECOND SEMESTER B.Tech. END-SEMESTER EXAMINATION - MAY SUBJECT: ENGINEERING PHYSICS (PHY/) Time: 3 Hrs. Max. Marks: 5 Note: Answer
More informationGeneral Physics (PHY 2140) Lecture 15
General Physics (PHY 2140) Lecture 15 Modern Physics Chapter 27 1. Quantum Physics The Compton Effect Photons and EM Waves Wave Properties of Particles Wave Functions The Uncertainty Principle http://www.physics.wayne.edu/~alan/2140website/main.htm
More informationPhysics Lecture 6
Physics 3313 - Lecture 6 Monday February 8, 2010 Dr. Andrew Brandt 1. HW1 Due today HW2 weds 2/10 2. Electron+X-rays 3. Black body radiation 4. Compton Effect 5. Pair Production 2/8/10 3313 Andrew Brandt
More informationGen. Phys. II Exam 4 - Chs. 27,28,29 - Wave Optics, Relativity, Quantum Physics Apr. 16, 2018
Gen. Phys. II Exam 4 - Chs. 27,28,29 - Wave Optics, Relativity, Quantum Physics Apr. 16, 2018 Rec. Time Name For full credit, make your work clear. Show formulas used, essential steps, and results with
More informationChapter 1. From Classical to Quantum Mechanics
Chapter 1. From Classical to Quantum Mechanics Classical Mechanics (Newton): It describes the motion of a classical particle (discrete object). dp F ma, p = m = dt dx m dt F: force (N) a: acceleration
More informationCHE3935. Lecture 2. Introduction to Quantum Mechanics
CHE3935 Lecture 2 Introduction to Quantum Mechanics 1 The History Quantum mechanics is strange to us because it deals with phenomena that are, for the most part, unobservable at the macroscopic level i.e.,
More informationEnergy levels and atomic structures lectures chapter one
Structure of Atom An atom is the smallest constituent unit of ordinary matter that has the properties of a element. Every solid, liquid, gas, and plasma is composed of neutral or ionized atoms. Atoms are
More informationCHAPTER 12 TEST REVIEW
IB PHYSICS Name: Period: Date: # Marks: 76 Raw Score: IB Curve: DEVIL PHYSICS BADDEST CLASS ON CAMPUS CHAPTER 12 TEST REVIEW 1. An alpha particle is accelerated through a potential difference of 10 kv.
More informationEP118 Optics. Content TOPIC 1 LIGHT. Department of Engineering Physics University of Gaziantep
EP11 Optics TOPIC 1 LIGHT Department of Engineering Physics University of Gaziantep July 2011 Sayfa 1 Content 1. History of Light 2. Wave Nature of Light 3. Quantum Theory of Light 4. Elecromagnetic Wave
More informationAtomic Structure and the Periodic Table
Atomic Structure and the Periodic Table The electronic structure of an atom determines its characteristics Studying atoms by analyzing light emissions/absorptions Spectroscopy: analysis of light emitted
More informationChapter 27 Quantum Physics
Key Ideas Two Principles of Relativity: The laws of physics are the same for all uniformly moving observers. The speed of light is the same for all observers. Consequences: Different observers measure
More informationLight was recognised as a wave phenomenon well before its electromagnetic character became known.
VISUAL PHYSICS ONLINE MODULE 7 NATURE OF LIGHT WAVE or PARTICLE??? Light was recognised as a wave phenomenon well before its electromagnetic character became known. The problem of the nature of light is
More informationWAVE PARTICLE DUALITY
WAVE PARTICLE DUALITY Evidence for wave-particle duality Photoelectric effect Compton effect Electron diffraction Interference of matter-waves Consequence: Heisenberg uncertainty principle PHOTOELECTRIC
More informationFundamentals of Spectroscopy for Optical Remote Sensing. Course Outline 2009
Fundamentals of Spectroscopy for Optical Remote Sensing Course Outline 2009 Part I. Fundamentals of Quantum Mechanics Chapter 1. Concepts of Quantum and Experimental Facts 1.1. Blackbody Radiation and
More informationPreview. Atomic Physics Section 1. Section 1 Quantization of Energy. Section 2 Models of the Atom. Section 3 Quantum Mechanics
Atomic Physics Section 1 Preview Section 1 Quantization of Energy Section 2 Models of the Atom Section 3 Quantum Mechanics Atomic Physics Section 1 TEKS The student is expected to: 8A describe the photoelectric
More informationChapter 37 Early Quantum Theory and Models of the Atom
Chapter 37 Early Quantum Theory and Models of the Atom Units of Chapter 37 37-7 Wave Nature of Matter 37-8 Electron Microscopes 37-9 Early Models of the Atom 37-10 Atomic Spectra: Key to the Structure
More informationEarly Quantum Theory and Models of the Atom
Early Quantum Theory and Models of the Atom Electron Discharge tube (circa 1900 s) There is something ( cathode rays ) which is emitted by the cathode and causes glowing Unlike light, these rays are deflected
More informationCHAPTER 2: POSTULATES OF QUANTUM MECHANICS
CHAPTER 2: POSTULATES OF QUANTUM MECHANICS Basics of Quantum Mechanics - Why Quantum Physics? - Classical mechanics (Newton's mechanics) and Maxwell's equations (electromagnetics theory) can explain MACROSCOPIC
More informationλ = h = h p mv λ = h mv FXA 2008 Candidates should be able to :
1 Candidates should be able to : Explain electron diffraction as evidence for the wave nature of particles like electrons. Explain that electrons travelling through polycrystalline graphite will be diffracted
More informationLecture 8. > Blackbody Radiation. > Photoelectric Effect
Lecture 8 > Blackbody Radiation > Photoelectric Effect *Beiser, Mahajan & Choudhury, Concepts of Modern Physics 7/e French, Special Relativity *Nolan, Fundamentals of Modern Physics 1/e Serway, Moses &
More informationConstants & Atomic Data. The birth of atomic physics and quantum mechanics. debroglie s Wave Equations. Energy Calculations. λ = f = h E.
Constants & Atomic Data The birth of atomic physics and quantum mechanics Honors Physics Don Rhine Look inside back cover of book! Speed of Light (): c = 3.00 x 10 8 m/s Elementary Charge: e - = p + =
More informationDual Nature of Matter
Emission of electrons: Dual Nature of Matter We know that metals have free electrons (negatively charged particles) that are responsible for their conductivity. However, the free electrons cannot normally
More informationCHAPTER NUMBER 7: Quantum Theory: Introduction and Principles
CHAPTER NUMBER 7: Quantum Theory: Introduction and Principles Art PowerPoints Peter Atkins & Julio De Paula 2010 1 mm 1000 m 100 m 10 m 1000 nm 100 nm 10 nm 1 nm 10 Å 1 Å Quantum phenomena 7.1 Energy quantization
More informationEA Notes (Scen 101), Tillery Chapter 7. Light
EA Notes (Scen 101), Tillery Chapter 7 Light Introduction Light is hard to study because you can't see it, you only see it's effects. Newton tried to explain the energy in a light beam as the KE of a particle
More informationComplementi di Fisica Lectures 7-9
Complementi di Fisica Lectures 7-9 Livio Lanceri Università di Trieste Trieste, 07/09-10-2012 Course Outline - Reminder Quantum Mechanics: an introduction Waves as particles and particles as waves (the
More informationUnit title: Atomic and Nuclear Physics for Spectroscopic Applications
Unit title: Atomic and Nuclear Physics for Spectroscopic Applications Unit code: Y/601/0417 QCF level: 4 Credit value: 15 Aim This unit provides an understanding of the underlying atomic and nuclear physics
More informationChapter 6 Electronic Structure of Atoms
Chapter 6 Electronic Structure of Atoms What is the origin of color in matter? Demo: flame tests What does this have to do with the atom? Why are atomic properties periodic? 6.1 The Wave Nature of Light
More information