Magnetic Materials. 2. Diamagnetism. Numan Akdoğan.
|
|
- Blake Jesse Stafford
- 5 years ago
- Views:
Transcription
1 Magnetic Materials. Diamagnetism Numan Akdoğan Gebze Institute of Technology Department of Physics Nanomagnetism and Spintronic Research Center (NASAM)
2 Magnetic moments of electrons There are two kinds of electron motion, orbital and spin, and each has a magnetic moment associated with it. In the Bohr model of the atom (1913), electron moves in a circular orbit of radius r with a velocity v. The orbital motion of an electron around the nucleus may be likened to a current in a loop of wire having no resistance; both are equivalent to a circulation of charge. Remember Eq. 7 in the first lecture. ia In cgs the charge of an electron is given as e/c, where e is the elemantary electric charge and c is the velocity of light). The current i, or charge passing a given point per unit time, is then (e/c)(v/πr) (cgs) or ev/πr (SI) Therefore the magnetic moment produced by the circular motion of the electron in its orbit is given by N. Akdoğan. Diamagnetism
3 Magnetic moments of electrons orbit e v πr c πr evr c (cgs) (1) ev evr πr πr orbit Another postulate of the Bohr s atomic model was that the orbital motion of the electron is quantized, so that only discrete orbits can exist. In other words, the angular momentum of the electron must be an integral multiple of h/π, where h is Planck s constant. (SI) h L n π mvr () n is the principal quantum number and m is the mass of electron. N. Akdoğan. Diamagnetism
4 Magnetic moments of electrons orbit eh 4πmc (cgs) (3) for the magnetic moment of the electron in the first (n1) Bohr orbit. The spin of the electron was postulated in 195 in order to explain certain features of the optical spectra of hot gases, particularly gases subjected to a magnetic field (Zeeman effect), and it later found theoretical confirmation in wave mechanics. Spin is an universal property of electrons in all states of matter at all temperatures. The electron behaves as if it were in some sense spinning about its own axis, and associated with this spin are definite amounts of magnetic moment and angular momentum. It is found experimentally and theoretically that the magnetic moment due to electron spin is equal to spin eh 4πmc (cgs) (4) N. Akdoğan. Diamagnetism
5 Magnetic moments of electrons spin spin 10 ( esu)( π ( g)(3 10 eh 4πmc 10 erg sec) cm / sec) 7 1 erg/oe or emu in cgs B spin which is called the Bohr magneton ( B ). (5) J/T or Am in SI B N. Akdoğan. Diamagnetism
6 Magnetic moments of atoms Atoms contain many electrons, each spinning about its own axis and moving in its own orbit. The magnetic moment associated with each kind of motion is a vector quantity, parallel to the axis of spin and normal to the plane of the orbit, respectively. The magnetic moment of the atom is the vector sum of all its electronic moments, and two possibilities arise: μ orbit μspin nucleus electron The magnetic moments of all the electrons are so oriented that they cancel one another out, and the atom as a whole has no net magnetic moment. This condition leads to diamagnetism. The cancellation of electronic moments is only partial and the atom is left with a net magnetic moment. Such an atom is often referred to, for brevity, as a magnetic atom. Substances composed of atoms of this kind are para-, ferro-, antiferro-, or ferrimagnetic. N. Akdoğan. Diamagnetism
7 We have studied two contributions to the magnetic moment of atoms - the electron spin and orbital angular momenta. Next we are going to investigate the third (and final) contribution to the magnetic moment of a free atom. This is the change in orbital motion of the electrons when an external magnetic field is applied. The classical theory of this effect was first worked out by Paul Langevin in a noted paper published in 1905 [P. Langevin, Ann. Chemie et Physique, 5 (1905) p ]. The theory considers that the effect of an applied field on a single electron orbit is to reduce the effective current of the orbit, and so to produce a magnetic moment opposing the applied field. N. Akdoğan. Diamagnetism
8 When an external field is applied, the electron is accelerated by this field, and the velocity changes. Therefore, the change in the centrifugal force acting on the electron is given by F mv r mv r v which is just balanced by an increase in the Lorentz force F e v H c In other words, the orbit precesses about the applied field without changing its shape, with angular velocity v e w L r mc H This motion is called the Larmor precession. N. Akdoğan. Diamagnetism (6) (7) (8)
9 Mechanism of atomic diamagnetism. Larmor precession of a tilted orbit. The magnetic moment produced by the motion shown on the left is given by e v e vr ia πr c πr Using Eqs. 6 and 7 for ν v er H mc N. Akdoğan. Diamagnetism c and we have (9) (10) e r H (11) 4mc
10 In the case of a closed shell, electrons are distributed on a spherical surface with radius a, so that r in Eq. 11 is replaced by x +y, where the z-axis is parallel to the magnetic field. Considering spherical symmetry, we have a x y z r x + y 3 a 3 Therefore Eq. 11 becomes N. Akdoğan. Diamagnetism
11 e a H cgs (1) 6mc When a unit volume of the material contains N atoms, each of which has Z orbital electrons, the magnetic susceptibility is given by χ M H VH e a 6Vmc NZe 6mc a where a χ NZe 6mc a emu 3 Oe cm cgs (13) is the average a for all the orbital electrons. This relationship holds fairly well for materials containing atoms or ions with closed shells. N. Akdoğan. Diamagnetism
12 In fact diamagnetism is such a weak phenomenon that only those atoms which have no net magnetic moment as a result of their shells being filled are classified as diamagnetic. In other materials the diamagnetism is overshadowed by much stronger interactions such as ferromagnetism or paramagnetism. N. Akdoğan. Diamagnetism
13 M χ 0 H 0 T N. Akdoğan. Diamagnetism
CHAPTER 2 MAGNETISM. 2.1 Magnetic materials
CHAPTER 2 MAGNETISM Magnetism plays a crucial role in the development of memories for mass storage, and in sensors to name a few. Spintronics is an integration of the magnetic material with semiconductor
More informationMagnetic materials, & inductance & Torque. P.Ravindran, PHY041: Electricity & Magnetism 8 February 2013: Magnetic materials, inductance, and torque
Magnetic materials, & inductance & Torque Magnetic Properties of Materials Magnetic behavior of a material is due to the interaction of magnetic dipole moments of its atoms with an external magnetic field.
More informationMagnetic Materials. 1. General Information About Magnetism. Numan Akdoğan.
Magnetic Materials 1. General Information About Magnetism Numan Akdoğan akdogan@gyte.edu.tr Gebze Institute of Technology Department of Physics Nanomagnetism and Spintronic Research Center (NASAM) Magnetic
More informationMagnetic Field Lines for a Loop
Magnetic Field Lines for a Loop Figure (a) shows the magnetic field lines surrounding a current loop Figure (b) shows the field lines in the iron filings Figure (c) compares the field lines to that of
More informationPhysics 202, Lecture 14
Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch. 27) Review of Biot-Savart Law Ampere s Law Magnetism in Matter Magnetic Fields (Biot-Savart): Summary Current loop, distance on
More informationPHY331 Magnetism. Lecture 3
PHY331 Magnetism Lecture 3 Last week Derived magnetic dipole moment of a circulating electron. Discussed motion of a magnetic dipole in a constant magnetic field. Showed that it precesses with a frequency
More informationElectromagnetism II. Instructor: Andrei Sirenko Spring 2013 Thursdays 1 pm 4 pm. Spring 2013, NJIT 1
Electromagnetism II Instructor: Andrei Sirenko sirenko@njit.edu Spring 013 Thursdays 1 pm 4 pm Spring 013, NJIT 1 PROBLEMS for CH. 6 http://web.njit.edu/~sirenko/phys433/phys433eandm013.htm Can obtain
More informationChapter 28 Sources of Magnetic Field
Chapter 28 Sources of Magnetic Field In this chapter we investigate the sources of magnetic of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents). Ampere s Law
More informationPhysics of Magnetism. Chapter references are to Essentials of Paleomagnetism, UC Press, 2010
Physics of Magnetism Chapter references are to Essentials of Paleomagnetism, UC Press, 2010 http://magician.ucsd.edu/essentials 1 Magnetic units (sorry!) SI cgs Magnetic fields as the gradient of a scalar
More informationDisplacement Current. Ampere s law in the original form is valid only if any electric fields present are constant in time
Displacement Current Ampere s law in the original form is valid only if any electric fields present are constant in time Maxwell modified the law to include timesaving electric fields Maxwell added an
More informationB for a Long, Straight Conductor, Special Case. If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes
B for a Long, Straight Conductor, Special Case If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes μ I B = o 2πa B for a Curved Wire Segment Find the field at point
More informationSources of Magnetic Field
Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 28 Looking forward
More informationChapter 28 Sources of Magnetic Field
Chapter 28 Sources of Magnetic Field In this chapter we investigate the sources of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents), Ampere s Law is introduced
More informationChapter 1 The Bohr Atom
Chapter 1 The Bohr Atom 1 Introduction Niels Bohr was a Danish physicist who made a fundamental contribution to our understanding of atomic structure and quantum mechanics. He made the first successful
More informationLecture 5. Chapters 3 & 4. Induced magnetization: that which is induced in the presence of an applied magnetic field. diamagnetic.
Lecture 5 Induced magnetization: that which is induced in the presence of an applied magnetic field diamagnetic paramagnetic Remanent magnetization: that which remains in the absence of an external field
More informationL z L L. Think of it as also affecting the angle
Quantum Mechanics and Atomic Physics Lecture 19: Quantized Angular Momentum and Electron Spin http://www.physics.rutgers.edu/ugrad/361 h / d/361 Prof. Sean Oh Last time Raising/Lowering angular momentum
More informationLecture contents. Magnetic properties Diamagnetism Band paramagnetism Atomic paramagnetism Ferromagnetism. Molecular field theory Exchange interaction
1 Lecture contents Magnetic properties Diamagnetism and paramagnetism Atomic paramagnetism Ferromagnetism Molecular field theory Exchange interaction NNSE 58 EM Lecture #1 [SI] M magnetization or magnetic
More informationLecture 24 Origins of Magnetization (A number of illustrations in this lecture were generously provided by Prof. Geoffrey Beach)
Lecture 4 Origins of Magnetization (A number of illustrations in this lecture were generously provided by Prof. Geoffrey Beach) Today 1. Magnetic dipoles.. Orbital and spin angular momenta. 3. Non-interacting
More informationElectromagnetism - Lecture 10. Magnetic Materials
Electromagnetism - Lecture 10 Magnetic Materials Magnetization Vector M Magnetic Field Vectors B and H Magnetic Susceptibility & Relative Permeability Diamagnetism Paramagnetism Effects of Magnetic Materials
More informationCoaxial cable. Coaxial cable. Magnetic field inside a solenoid
Divergence and circulation Surface S Ampere s Law A vector field is generally characterized by 1) how field lines possibly diverge away from or converge upon (point) sources plus 2) how field lines circulate,
More informationMagnetic Moments and Spin
Magnetic Moments and Spin Still have several Homeworks to hand back Finish up comments about hydrogen atom and start on magnetic moment + spin. Eleventh Homework Set is due today and the last one has been
More informationChapter 16 - Maxwell s Equations
David J. Starling Penn State Hazleton PHYS 214 Gauss s Law relates point charges to the value of the electric field. Φ E = E d A = q enc ɛ 0 Gauss s Law relates point charges to the value of the electric
More informationAtomic Structure. Chapter 8
Atomic Structure Chapter 8 Overview To understand atomic structure requires understanding a special aspect of the electron - spin and its related magnetism - and properties of a collection of identical
More informationChapter 6. Quantum Theory of the Hydrogen Atom
Chapter 6 Quantum Theory of the Hydrogen Atom 1 6.1 Schrodinger s Equation for the Hydrogen Atom Symmetry suggests spherical polar coordinates Fig. 6.1 (a) Spherical polar coordinates. (b) A line of constant
More informationMagnetism. Ram Seshadri MRL 2031, x6129, Some basics:
Magnetism Ram Seshadri MRL 2031, x6129, seshadri@mrl.ucsb.edu Some basics: A magnet is associated with magnetic lines of force, and a north pole and a south pole. he lines of force come out of the north
More information4/21/2010. Schrödinger Equation For Hydrogen Atom. Spherical Coordinates CHAPTER 8
CHAPTER 8 Hydrogen Atom 8.1 Spherical Coordinates 8.2 Schrödinger's Equation in Spherical Coordinate 8.3 Separation of Variables 8.4 Three Quantum Numbers 8.5 Hydrogen Atom Wave Function 8.6 Electron Spin
More informationFinal Exam Tuesday, May 8, 2012 Starting at 8:30 a.m., Hoyt Hall Duration: 2h 30m
Final Exam Tuesday, May 8, 2012 Starting at 8:30 a.m., Hoyt Hall. ------------------- Duration: 2h 30m Chapter 39 Quantum Mechanics of Atoms Units of Chapter 39 39-1 Quantum-Mechanical View of Atoms 39-2
More informationThe Spin (continued). February 8, 2012
The Spin continued. Magnetic moment of an electron Particle wave functions including spin Stern-Gerlach experiment February 8, 2012 1 Magnetic moment of an electron. The coordinates of a particle include
More informationPhysics 1C Lecture 29B
Physics 1C Lecture 29B Emission Spectra! The easiest gas to analyze is hydrogen gas.! Four prominent visible lines were observed, as well as several ultraviolet lines.! In 1885, Johann Balmer, found a
More informationChemistry 431. Lecture 23
Chemistry 431 Lecture 23 Introduction The Larmor Frequency The Bloch Equations Measuring T 1 : Inversion Recovery Measuring T 2 : the Spin Echo NC State University NMR spectroscopy The Nuclear Magnetic
More informationIntroduction to Quantum Mechanics. and Quantum Numbers
Introduction to Quantum Mechanics and Quantum Numbers The Quantum Mechanical Model quantum mechanics: the application of quantum theory to explain the properties of matter, particularly electrons in atoms
More informationMagnetism. March 10, 2014 Physics for Scientists & Engineers 2, Chapter 27 1
Magnetism March 10, 2014 Physics for Scientists & Engineers 2, Chapter 27 1 Notes! Homework is due on We night! Exam 4 next Tuesday Covers Chapters 27, 28, 29 in the book Magnetism, Magnetic Fields, Electromagnetic
More informationOutside the solenoid, the field lines are spread apart, and at any given distance from the axis, the field is weak.
Applications of Ampere s Law continued. 2. Field of a solenoid. A solenoid can have many (thousands) of turns, and perhaps many layers of windings. The figure shows a simple solenoid with just a few windings
More informationPhysics 202, Lecture 14
Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch. 30) Review: iot-savart Law, Ampere s Law Displacement Current: Ampere-Maxwell Law Magnetism in Matter Maxwell s Equations (prelude)
More informationLecture 1 : p q dq = n q h (1)
Lecture 1 : The Wilson-Sommerfeld Quantization Rule The success of the Bohr model, as measured by its agreement with experiment, was certainly very striking, but it only accentuated the mysterious nature
More informationPHY331 Magnetism. Lecture 4
PHY331 Magnetism Lecture 4 Last week Discussed Langevin s theory of diamagnetism. Use angular momentum of precessing electron in magnetic field to derive the magnetization of a sample and thus diamagnetic
More informationParamagnetism and Diamagnetism. Paramagnets (How do paramagnets differ fundamentally from ferromagnets?)
Paramagnetism and Diamagnetism Paramagnets (How do paramagnets differ fundamentally from ferromagnets?) The study of paramagnetism allows us to investigate the atomic magnetic moments of atoms almost in
More informationMSE 7025 Magnetic Materials (and Spintronics)
MSE 7025 Magnetic Materials (and Spintronics) Lecture 4: Category of Magnetism Chi-Feng Pai cfpai@ntu.edu.tw Course Outline Time Table Week Date Lecture 1 Feb 24 Introduction 2 March 2 Magnetic units and
More informationElectricity & Optics
Physics 24100 Electricity & Optics Lecture 15 Chapter 27 sec. 3-5 Fall 2016 Semester Professor Koltick Magnetic Fields B = μ 0 4π I dl r r 2 = μ 0 4π I dl r r 3 B = μ 0 2I 4π R B = μ 0 2 IR 2 R 2 + z 2
More informationThe Hydrogen Atom. Thornton and Rex, Ch. 7
The Hydrogen Atom Thornton and Rex, Ch. 7 Applying Schrodinger s Eqn to the Hydrogen Atom The potential: -1 e 2 V(r) = 4p e0 r Use spherical polar coordinates (with y(x,y,z) => y(r,q,f) ): 1 y 1 y ( r
More informationContour Plots Electron assignments and Configurations Screening by inner and common electrons Effective Nuclear Charge Slater s Rules
Lecture 4 362 January 23, 2019 Contour Plots Electron assignments and Configurations Screening by inner and common electrons Effective Nuclear Charge Slater s Rules How to handle atoms larger than H? Effective
More informationμ (vector) = magnetic dipole moment (not to be confused with the permeability μ). Magnetism Electromagnetic Fields in a Solid
Magnetism Electromagnetic Fields in a Solid SI units cgs (Gaussian) units Total magnetic field: B = μ 0 (H + M) = μ μ 0 H B = H + 4π M = μ H Total electric field: E = 1/ε 0 (D P) = 1/εε 0 D E = D 4π P
More informationMAGNETIC MATERIALS. Fundamentals and device applications CAMBRIDGE UNIVERSITY PRESS NICOLA A. SPALDIN
MAGNETIC MATERIALS Fundamentals and device applications NICOLA A. SPALDIN CAMBRIDGE UNIVERSITY PRESS Acknowledgements 1 Review of basic magnetostatics 1.1 Magnetic field 1.1.1 Magnetic poles 1.1.2 Magnetic
More informationQuantum Mechanics & Atomic Structure (Chapter 11)
Quantum Mechanics & Atomic Structure (Chapter 11) Quantum mechanics: Microscopic theory of light & matter at molecular scale and smaller. Atoms and radiation (light) have both wave-like and particlelike
More informationLecture 24 - Magnetism
Lecture 24: Magnetism (Kittel Ch. 1112) Quantum Mechanics Magnetism ElectronElectron Interactions Physics 460 F 2006 Lect 24 1 Outline Magnetism is a purely quantum phenomenon! Totally at variance with
More informationMagnetic Materials. The inductor Φ B = LI (Q = CV) = L I = N Φ. Power = VI = LI. Energy = Power dt = LIdI = 1 LI 2 = 1 NΦ B capacitor CV 2
Magnetic Materials The inductor Φ B = LI (Q = CV) Φ B 1 B = L I E = (CGS) t t c t EdS = 1 ( BdS )= 1 Φ V EMF = N Φ B = L I t t c t B c t I V Φ B magnetic flux density V = L (recall I = C for the capacitor)
More information( ) ( ) Last Time. 3-D particle in box: summary. Modified Bohr model. 3-dimensional Hydrogen atom. Orbital magnetic dipole moment
Last Time 3-dimensional quantum states and wave functions Decreasing particle size Quantum dots (particle in box) Course evaluations Thursday, Dec. 10 in class Last HW assignment available : for practice
More informationDef.: Magnetism the property of a material to be attracted to (paramagnetic response) or repelled by (diamagnetic response) a magnetic field
5.2 Magnetism: the basics Def.: Magnetism the property of a material to be attracted to (paramagnetic response) or repelled by (diamagnetic response) a magnetic field These effects arise mainly from electrons
More informationElements of magnetism and magnetic measurements
Elements of magnetism and magnetic measurements Ruslan Prozorov Oct 2009, Feb 2014, Oct 2018 Physics 590B magnetic moment of free currents Magnetic moment of a closed loop carrying current I: Magnetic
More informationPotential energy, from Coulomb's law. Potential is spherically symmetric. Therefore, solutions must have form
Lecture 6 Page 1 Atoms L6.P1 Review of hydrogen atom Heavy proton (put at the origin), charge e and much lighter electron, charge -e. Potential energy, from Coulomb's law Potential is spherically symmetric.
More informationPhysics 1402: Lecture 17 Today s Agenda
Physics 1402: Lecture 17 Today s Agenda Announcements: Midterm 1 distributed today Homework 05 due Friday Magnetism Trajectory in Constant B Field Suppose charge q enters B field with velocity v as shown
More informationCOPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1
Chapter 1 Production of Net Magnetization Magnetic resonance (MR) is a measurement technique used to examine atoms and molecules. It is based on the interaction between an applied magnetic field and a
More informationChapter 27 Sources of Magnetic Field
Chapter 27 Sources of Magnetic Field In this chapter we investigate the sources of magnetic of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents). Ampere s Law
More informationECE440 Nanoelectronics. Lecture 07 Atomic Orbitals
ECE44 Nanoelectronics Lecture 7 Atomic Orbitals Atoms and atomic orbitals It is instructive to compare the simple model of a spherically symmetrical potential for r R V ( r) for r R and the simplest hydrogen
More information1. ATOMIC STRUCTURE PREVIOUS EAMCET BITS. 1) 25 : 9 2) 5 : 3 3) 9 : 25 4) 3 : 5 Ans: 1 Sol: According to de-broglie equation h
. ATOMIC STRUCTURE PREVIOUS EAMCET BITS. The wavelengths of electron waves in two orbits is 3 :. The ratio of kinetic energy of electron will be (E-009) ) : 9 ) : 3 3) 9 : ) 3 : Sol: According to de-broglie
More informationPHY492: Nuclear & Particle Physics. Lecture 5 Angular momentum Nucleon magnetic moments Nuclear models
PHY492: Nuclear & Particle Physics Lecture 5 Angular momentum Nucleon magnetic moments Nuclear models eigenfunctions & eigenvalues: Classical: L = r p; Spherical Harmonics: Orbital angular momentum Orbital
More informationBohr model and Franck-Hertz experiment
Bohr model and Franck-Hertz experiment Announcements: Will finish up material in Chapter 5. There will be no class on Friday, Oct. 18. Will announce again! Still have a few midterms see me if you haven
More informationphysics 590 ruslan prozorov magnetic measurements Nov 9,
physics 590 ruslan prozorov magnetic measurements Nov 9, 2009 - magnetic moment of free currents Magnetic moment of a closed loop carrying current I: Magnetic field on the axis of a loop of radius R at
More informationZeeman Effect - Lab exercises 24
Zeeman Effect - Lab exercises 24 Pieter Zeeman Franziska Beyer August 2010 1 Overview and Introduction The Zeeman effect consists of the splitting of energy levels of atoms if they are situated in a magnetic
More informationChapter 5. Atomic spectra
Atomic spectra Sommerfelds relativistic model Sommerfeld succeeded partially in explaining fine structure by extending Bohr Theory i) He allowed the possibility of elliptical orbits for the electrons in
More informationPHY122 Physics for the Life Sciences II
PHY122 Physics for the Life Sciences II Lecture 12 Faraday s Law of Induction Clicker Channel 41 03/12/2015 Lecture 12 1 03/12/2015 Magnetic Materials Like dielectric materials in electric fields, materials
More informationThe Electronic Structures of Atoms Electromagnetic Radiation The wavelength of electromagnetic radiation has the symbol λ.
CHAPTER 7 Atomic Structure Chapter 8 Atomic Electron Configurations and Periodicity 1 The Electronic Structures of Atoms Electromagnetic Radiation The wavelength of electromagnetic radiation has the symbol
More informationStern-Gerlach experiment
Lezione 2 Stern-Gerlach experiment Performed in Frankfurt, Germany in 1922 and named after Otto Stern and Walther Gerlach 1888 1969 1889-1979 At the time, Stern (34) and Gerlach (33) were assistants at
More informationMagnetic field and magnetic poles
Magnetic field and magnetic poles Magnetic Field B is analogically similar to Electric Field E Electric charges (+ and -)are in analogy to magnetic poles(north:n and South:S). Paramagnetism, Diamagnetism,
More informationLecture 41 (Hydrogen Atom and Spatial Quantization) Physics Fall 2018 Douglas Fields
Lecture 41 (Hydrogen Atom and Spatial Quantization) Physics 262-01 Fall 2018 Douglas Fields States A state of the electron is described by a specific wavefunction (or a specific combination of wavefunctions
More informationChapter 7 QUANTUM THEORY & ATOMIC STRUCTURE Brooks/Cole - Thomson
Chapter 7 QUANTUM THEORY & ATOMIC STRUCTURE 1 7.1 The Nature of Light 2 Most subatomic particles behave as PARTICLES and obey the physics of waves. Light is a type of electromagnetic radiation Light consists
More informationSolid state physics. Lecture 9: Magnetism. Prof. Dr. U. Pietsch
Solid state physics Lecture 9: Magnetism Prof. Dr. U. Pietsch Diamagnetism and Paramagnetsim Materie in magnetic field m 0 0 H M H(1 H 0 0M m M magnetiszation magnetic susceptibility - magnetic permeability
More informationThe Hydrogen Atom. Dr. Sabry El-Taher 1. e 4. U U r
The Hydrogen Atom Atom is a 3D object, and the electron motion is three-dimensional. We ll start with the simplest case - The hydrogen atom. An electron and a proton (nucleus) are bound by the central-symmetric
More informationATOMIC STRUCRURE
ATOMIC STRUCRURE Long Answer Questions: 1. What are quantum numbers? Give their significance? Ans. The various orbitals in an atom qualitatively distinguished by their size, shape and orientation. The
More information1. Aims. 2. Apparatus. 3. Background
1. Aims The aims of this experiment are to measure the magnetic susceptibility of a solution of manganese sulphate and to determine the magnetic dipole moment of a Mn + ion in units of the Bohr magneton,
More informationAn introduction to magnetism in three parts
An introduction to magnetism in three parts Wulf Wulfhekel Physikalisches Institut, Karlsruhe Institute of Technology (KIT) Wolfgang Gaede Str. 1, D-76131 Karlsruhe 0. Overview Chapters of the three lectures
More informationSources of Magnetic Field
Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 28 To determine the
More informationLecture 19: Magnetic properties and the Nephelauxetic effect
Lecture 19: Magnetic properties and the Nephelauxetic effect sample balance thermometer connection to balance left: the Gouy balance for Gouy Tube determining the magnetic susceptibility of materials north
More informationl μ M Right hand Screw rule
Magnetic materials Magnetic property The response of the materials to external magnetic field All the materials are magnetic, only the degree of response varies, which is measured in terms of their magnetization
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 informationDAY 12. Summary of Topics Covered in Today s Lecture. Magnetic Fields Exert Torques on a Loop of Current
DAY 12 Summary of Topics Covered in Today s Lecture Magnetic Fields Exert Torques on a Loop of Current Imagine a wire bent into the shape of a rectangle with height h and width w. The wire carries a current
More informationLet's look at the force on a current loop. In a uniform field it is zero: F = I I (dl B) =I I dl B =0 (4) since B is constant and comes outside the in
Midterm: Mean 4.4/30, sigma = 5, high score - 25/30 Topic 3: Magnetostatic Fields in Matter Reading Assignment: Jackson Chapter 5.7-5. The treatment of magnetostatic fields in matter is quite parallel
More informationChapter 4 Section 2 Notes
Chapter 4 Section 2 Notes Vocabulary Heisenberg Uncertainty Principle- states that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle. Quantum
More informationCh 7 Quantum Theory of the Atom (light and atomic structure)
Ch 7 Quantum Theory of the Atom (light and atomic structure) Electromagnetic Radiation - Electromagnetic radiation consists of oscillations in electric and magnetic fields. The oscillations can be described
More informationMAGNETISM OF ATOMS QUANTUM-MECHANICAL BASICS. Janusz Adamowski AGH University of Science and Technology, Kraków, Poland
MAGNETISM OF ATOMS QUANTUM-MECHANICAL BASICS Janusz Adamowski AGH University of Science and Technology, Kraków, Poland 1 The magnetism of materials can be derived from the magnetic properties of atoms.
More informationChapter 19. Magnetism
Chapter 19 Magnetism The figure shows the path of a negatively charged particle in a region of a uniform magnetic field. Answer the following questions about this situation (in each case, we revert back
More informationMagnetism and Levitation
Magnetism and Levitation Brent Hobbs Dan Stark Timothy Wofford Junior Lab I Wednesday, December 11, 2002 Types of Magnetism Ferromagnetism Antiferromagnetism Ferrimagnetism Paramagnetism Superparamagnetism
More informationTorque on a Current Loop
Today Chapter 19 Magnetism Torque on a current loop, electrical motor Magnetic field around a current carrying wire. Ampere s law Solenoid Material magnetism Clicker 1 Which of the following is wrong?
More informationMagnetic Materials. 1. Magnetization 2. Potential and field of a magnetized object
Magnetic Materials 1. Magnetization 2. Potential and field of a magnetized object 3. H-field 4. Susceptibility and permeability 5. Boundary conditions 6. Magnetic field energy and magnetic pressure 1 Magnetic
More informationElectricity and Magnetism Current Loops and Magnetic Dipoles Magnetism in Matter
Electricity and Magnetism Current Loops and Magnetic Dipoles Magnetism in Matter Lana Sheridan De Anza College Mar 5, 2018 Last time magnetic field inside a solenoid forces between current-carrying wires
More information1 Magnetism, Magnetic Materials, and Nanoparticles
1 1 Magnetism, Magnetic Materials, and Nanoparticles 1.1 Introduction Signiicant changes in the physical properties of materials occur as any of a sample s dimensions are reduced from the bulk (>50 µm)
More information(b) The wavelength of the radiation that corresponds to this energy is 6
Chapter 7 Problem Solutions 1. A beam of electrons enters a uniform 1.0-T magnetic field. (a) Find the energy difference between electrons whose spins are parallel and antiparallel to the field. (b) Find
More informationATOMIC MODEL AND ELECTROMAGNETIC WAVE THEORY
ATOMIC MODEL AND ELECTROMAGNETIC WAVE THEORY Dalton in 1808 proposed that matter was made up of extremely small indivisible particles called ATOM. But in early 20 th century various experiments established
More informationMore. The Zeeman Effect. Normal Zeeman Effect
More The Zeeman Effect As we mentioned in Chapter 3, the splitting of spectral lines when an atom is placed in an external magnetic field was looked for by Faraday, predicted on the basis of classical
More informationChapter 6: Quantum Theory of the Hydrogen Atom
Chapter 6: Quantum Theory of the Hydrogen Atom The first problem that Schrödinger tackled with his new wave equation was that of the hydrogen atom. The discovery of how naturally quantization occurs in
More information2.4. Quantum Mechanical description of hydrogen atom
2.4. Quantum Mechanical description of hydrogen atom Atomic units Quantity Atomic unit SI Conversion Ang. mom. h [J s] h = 1, 05459 10 34 Js Mass m e [kg] m e = 9, 1094 10 31 kg Charge e [C] e = 1, 6022
More informationMore. The Zeeman Effect. Normal Zeeman Effect
More The Zeeman Effect As we mentioned in Chapter, the splitting of spectral lines when an atom is placed in an external magnetic field was looked for by Faraday, predicted on the basis of classical theory
More information(Recall: Right-hand rule!)
1.10 The Vector Model of the Atom Classical Physics: If you go back to your first year physics textbook, you will find momentum p (= m v) has an angular counterpart, angular momentum l (= r x p), as shown
More informationOh, the humanity! David J. Starling Penn State Hazleton PHYS 214
Oh, the humanity! -Herbert Morrison, radio reporter of the Hindenburg disaster David J. Starling Penn State Hazleton PHYS 24 The hydrogen atom is composed of a proton and an electron with potential energy:
More informationCHAPTER 8 Atomic Physics
CHAPTER 8 Atomic Physics 8.1 Atomic Structure and the Periodic Table 8.2 Total Angular Momentum 8.3 Anomalous Zeeman Effect What distinguished Mendeleev was not only genius, but a passion for the elements.
More informationCondensed Matter Physics Prof. G. Rangarajan Department of Physics Indian Institute of Technology, Madras
(Refer Slide Time: 00:22) Condensed Matter Physics Prof. G. Rangarajan Department of Physics Indian Institute of Technology, Madras Lecture 25 Pauli paramagnetism and Landau diamagnetism So far, in our
More informationPART 2 Electronic Structure and the Periodic Table. Reference: Chapter 7 8 in textbook
PART 2 Electronic Structure and the Periodic Table Reference: Chapter 7 8 in textbook 1 Experiment to Discover Atom Structure -particle: He 2+ mass number = 4 Nucleus and Electron Model 2 Atomic Structure
More informationXI STD-CHEMISTRY LESSON: ATOMIC STRUCTURE-I
XI STD-CHEMISTRY LESSON: ATOMIC STRUCTURE-I 1.Define Atom All matter is composed of very small particles called atoms 2.Define Orbital The nucleus is surrounded by electrons that move around the nucleus
More informationPHYS 3313 Section 001 Lecture #14
PHYS 3313 Section 001 Lecture #14 Monday, March 6, 2017 The Classic Atomic Model Bohr Radius Bohr s Hydrogen Model and Its Limitations Characteristic X-ray Spectra 1 Announcements Midterm Exam In class
More informationApplied Nuclear Physics (Fall 2006) Lecture 1 (9/6/06) Basic Nuclear Concepts
22.101 Applied Nuclear Physics (Fall 2006) Lecture 1 (9/6/06) Basic Nuclear Concepts References Table of Isotopes, C. M. Lederer and V. S. Shirley, ed. (Wiley & Sons, New York, 1978), 7 th ed. Table of
More information