Nuclear Magneton Theory of Mass Quantization "Unified Field Theory"
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Magnetism, Magnetic Properties, Magnetochemistry
Magnetism, Magnetic Properties, Magnetochemistry 1 Magnetism All matter is electronic Positive/negative charges - bound by Coulombic forces Result of electric field E between charges, electric dipole Electric and magnetic fields = the electromagnetic interaction (Oersted, Maxwell) Electric field = electric +/ charges, electric dipole Magnetic field ??No source?? No magnetic charges, N-S No magnetic monopole Magnetic field = motion of electric charges (electric current, atomic motions) Magnetic dipole – magnetic moment = i A [A m2] 2 Electromagnetic Fields 3 Magnetism Magnetic field = motion of electric charges • Macro - electric current • Micro - spin + orbital momentum Ampère 1822 Poisson model Magnetic dipole – magnetic (dipole) moment [A m2] i A 4 Ampere model Magnetism Microscopic explanation of source of magnetism = Fundamental quantum magnets Unpaired electrons = spins (Bohr 1913) Atomic building blocks (protons, neutrons and electrons = fermions) possess an intrinsic magnetic moment Relativistic quantum theory (P. Dirac 1928) SPIN (quantum property ~ rotation of charged particles) Spin (½ for all fermions) gives rise to a magnetic moment 5 Atomic Motions of Electric Charges The origins for the magnetic moment of a free atom Motions of Electric Charges: 1) The spins of the electrons S. Unpaired spins give a paramagnetic contribution. Paired spins give a diamagnetic contribution. 2) The orbital angular momentum L of the electrons about the nucleus, degenerate orbitals, paramagnetic contribution. The change in the orbital moment -
Unification of Nature's Fundamental Forces
Unification of Nature’s Geoffrey B. West Fredrick M. Cooper Fundamental Forces Emil Mottola a continuing search Michael P. Mattis it was explicitly recognized at the time that basic research had an im- portant and seminal role to play even in the highly programmatic en- vironment of the Manhattan Project. Not surprisingly this mode of opera- tion evolved into the remarkable and unique admixture of pure, applied, programmatic, and technological re- search that is the hallmark of the present Laboratory structure. No- where in the world today can one find under one roof such diversity of talent dealing with such a broad range of scientific and technological challenges—from questions con- cerning the evolution of the universe and the nature of elementary parti- cles to the structure of new materi- als, the design and control of weapons, the mysteries of the gene, and the nature of AIDS! Many of the original scientists would have, in today’s parlance, identified themselves as nuclear or particle physicists. They explored the most basic laws of physics and continued the search for and under- standing of the “fundamental build- ing blocks of nature’’ and the princi- t is a well-known, and much- grappled with deep questions con- ples that govern their interactions. overworked, adage that the group cerning the consequences of quan- It is therefore fitting that this area of Iof scientists brought to Los tum mechanics, the structure of the science has remained a highly visi- Alamos to work on the Manhattan atom and its nucleus, and the devel- ble and active component of the Project constituted the greatest as- opment of quantum electrodynamics basic research activity at Los Alam- semblage of scientific talent ever (QED, the relativistic quantum field os. -
Experiment QM2: NMR Measurement of Nuclear Magnetic Moments
Physics 440 Spring (3) 2018 Experiment QM2: NMR Measurement of Nuclear Magnetic Moments Theoretical Background: Elementary particles are characterized by a set of properties including mass m, electric charge q, and magnetic moment µ. These same properties are also used to characterize bound collections of elementary particles such as the proton and neutron (which are built from quarks) and atomic nuclei (which are built from protons and neutrons). A particle's magnetic moment can be written in terms of spin as µ = g (q/2m) S where g is the "g-factor" for the particle and S is the particle spin. [Note 2 that for a classical rotating ball of charge S = (2mR /5) ω and g = 1]. For a nucleus, it is conventional to express the magnetic moment as µ A = gA µN IA /! where IA is the "spin", gA is the nuclear g-factor of nucleus A, and the constant µN = e!/2mp (where mp= proton mass) is known as the nuclear magneton. In a magnetic field (oriented in the z-direction) a spin-I nucleus can take on 2I+1 orientations with Iz = mI! where –I ≤ mI ≤ I. Such a nucleus experiences an orientation- dependent interaction energy of VB = –µ A•B = –(gA µN mI)Bz. Note that for a nucleus with positive g- factor the low energy state is the one in which the spin is aligned parallel to the magnetic field. For a spin-1/2 nucleus there are two allowed spin orientations, denoted spin-up and spin-down, and the up down energy difference between these states is simply given by |ΔVB| = VB −VB = 2µABz. -
People and Things
People and things An irresistible photograph: at a StAC Christmas party. Laboratory Director Pief Panofsky was presented with a CERN T-shirt, which he promptly put on. With him in the picture are (left to right) Roger Gear hart playing a seasonal master of ceremonies role, J. J. Murray and Ed Seppi. On people Elected vice-president of the Amer ican Physical Society for this year is Robert E. Marshak of Virginia Polytechnic Institute and State Uni versity. He succeeds Maurice Goldhaberr who becomes president elect. The new APS president is Arthur Schawlow of Stanford. In the same elections, Columbia theorist Malvin Ruder man was elected to serve for four years as councillor-at-large. Gisbert zu Pulitz, Scientific Director of the Darmstadt Heavy Ion Linear Accelerator Laboratory and Profes sor of Physics at the University of Heidelberg, has been elected as the new Chairman of the Association of German Research Centres (Ar- beitsgemeinschaft der Grossfor- schungseinrichtungen in der Bun- desrepublik Deutschland), succeed ing Herwig Schopper. The Associa the American Association for the tion includes the Julich and Karls Advancement of Science. ruhe nuclear research centres, LEP optimization DESY, and the Max Planck Institute for Plasma Physics as well as other The detail of the LEP electron-posi centres in the technical and biome tron storage ring project continues dical fields. to be studied so as to optimize the Moves at Brookhaven machine parameters from the point of view of performance and of cost. Nick Samios, former chairman of This optimization stays within the Brookhaven's Physics Department, description of Phase I of LEP which becomes the Laboratory's Deputy was agreed by the Member States Director for High Energy and Nu at the CERN Council meeting in clear Physics. -
Lecture #4, Matter/Energy Interactions, Emissions Spectra, Quantum Numbers
Welcome to 3.091 Lecture 4 September 16, 2009 Matter/Energy Interactions: Atomic Spectra 3.091 Periodic Table Quiz 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 Name Grade /10 Image by MIT OpenCourseWare. Rutherford-Geiger-Marsden experiment Image by MIT OpenCourseWare. Bohr Postulates for the Hydrogen Atom 1. Rutherford atom is correct 2. Classical EM theory not applicable to orbiting e- 3. Newtonian mechanics applicable to orbiting e- 4. Eelectron = Ekinetic + Epotential 5. e- energy quantized through its angular momentum: L = mvr = nh/2π, n = 1, 2, 3,… 6. Planck-Einstein relation applies to e- transitions: ΔE = Ef - Ei = hν = hc/λ c = νλ _ _ 24 1 18 Bohr magneton µΒ = eh/2me 9.274 015 4(31) X 10 J T 0.34 _ _ 27 1 19 Nuclear magneton µΝ = eh/2mp 5.050 786 6(17) X 10 J T 0.34 _ 2 3 20 Fine structure constant α = µ0ce /2h 7.297 353 08(33) X 10 0.045 21 Inverse fine structure constant 1/α 137.035 989 5(61) 0.045 _ 2 1 22 Rydberg constant R¥ = mecα /2h 10 973 731.534(13) m 0.0012 23 Rydberg constant in eV R¥ hc/{e} 13.605 698 1(40) eV 0.30 _ 10 24 Bohr radius a0 = a/4πR¥ 0.529 177 249(24) X 10 m 0.045 _ _ 4 2 1 25 Quantum of circulation h/2me 3.636 948 07(33) X 10 m s 0.089 _ 11 1 26 Electron specific charge -e/me -1.758 819 62(53) X 10 C kg 0.30 _ 12 27 Electron Compton wavelength λC = h/mec 2.426 310 58(22) X 10 m 0.089 _ 2 15 28 Electron classical radius re = α a0 2.817 940 92(38) X 10 m 0.13 _ _ 26 1 29 Electron magnetic moment` µe 928.477 01(31) X 10 J T 0.34 _ _ 3 30 Electron mag. -
Predicting the Binding Energies of the 1S Nuclides with High Precision, Based on Baryons Which Are Yang-Mills Magnetic Monopoles
Journal of Modern Physics, 2013, 4, 70-93 http://dx.doi.org/10.4236/jmp.2013.44A010 Published Online April 2013 (http://www.scirp.org/journal/jmp) Predicting the Binding Energies of the 1s Nuclides with High Precision, Based on Baryons which Are Yang-Mills Magnetic Monopoles Jay R. Yablon Schenectady, New York, USA Email: [email protected] Received March 22, 2013; revised April 24, 2013; accepted April 29, 2013 Copyright © 2013 Jay R. Yablon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. ABSTRACT In an earlier paper, the author employed the thesis that baryons are Yang-Mills magnetic monopoles and that proton and neutron binding energies are determined based on their up and down current quark masses to predict a relationship among the electron and up and down quark masses within experimental errors and to obtain a very accurate relationship for nuclear binding energies generally and for the binding of 56Fe in particular. The free proton and neutron were under- stood to each contain intrinsic binding energies which confine their quarks, wherein some or most (never all) of this energy is released for binding when they are fused into composite nuclides. The purpose of this paper is to further ad- vance this thesis by seeing whether it can explain the specific empirical binding energies of the light 1s nuclides, namely, 2H, 3H, 3He and 4He, with high precision. As the method to achieve this, we show how these 1s binding ener- gies are in fact the components of inner and outer tensor products of Yang-Mills matrices which are implicit in the ex- pressions for these intrinsic binding energies. -
The G Factor of Proton
The g factor of proton Savely G. Karshenboim a,b and Vladimir G. Ivanov c,a aD. I. Mendeleev Institute for Metrology (VNIIM), St. Petersburg 198005, Russia bMax-Planck-Institut f¨ur Quantenoptik, 85748 Garching, Germany cPulkovo Observatory, 196140, St. Petersburg, Russia Abstract We consider higher order corrections to the g factor of a bound proton in hydrogen atom and their consequences for a magnetic moment of free and bound proton and deuteron as well as some other objects. Key words: Nuclear magnetic moments, Quantum electrodynamics, g factor, Two-body atoms PACS: 12.20.Ds, 14.20.Dh, 31.30.Jv, 32.10.Dk Investigation of electromagnetic properties of particles and nuclei provides important information on fundamental constants. In addition, one can also learn about interactions of bound particles within atoms and interactions of atomic (molecular) composites with the media where the atom (molecule) is located. Since the magnetic interaction is weak, it can be used as a probe to arXiv:hep-ph/0306015v1 2 Jun 2003 learn about atomic and molecular composites without destroying the atom or molecule. In particular, an important quantity to study is a magnetic moment for either a bare nucleus or a nucleus surrounded by electrons. The Hamiltonian for the interaction of a magnetic moment µ with a homoge- neous magnetic field B has a well known form Hmagn = −µ · B , (1) which corresponds to a spin precession frequency µ hν = B , (2) spin I Email address: [email protected] (Savely G. Karshenboim). Preprint submitted to Elsevier Science 1 February 2008 where I is the related spin equal to either 1/2 or 1 for particles and nuclei under consideration in this paper. -
1. Physical Constants 1 1
1. Physical constants 1 1. PHYSICAL CONSTANTS Table 1.1. Reviewed 1998 by B.N. Taylor (NIST). Based mainly on the “1986 Adjustment of the Fundamental Physical Constants” by E.R. Cohen and B.N. Taylor, Rev. Mod. Phys. 59, 1121 (1987). The last group of constants (beginning with the Fermi coupling constant) comes from the Particle Data Group. The figures in parentheses after the values give the 1-standard- deviation uncertainties in the last digits; the corresponding uncertainties in parts per million (ppm) are given in the last column. This set of constants (aside from the last group) is recommended for international use by CODATA (the Committee on Data for Science and Technology). Since the 1986 adjustment, new experiments have yielded improved values for a number of constants, including the Rydberg constant R∞, the Planck constant h, the fine- structure constant α, and the molar gas constant R,and hence also for constants directly derived from these, such as the Boltzmann constant k and Stefan-Boltzmann constant σ. The new results and their impact on the 1986 recommended values are discussed extensively in “Recommended Values of the Fundamental Physical Constants: A Status Report,” B.N. Taylor and E.R. Cohen, J. Res. Natl. Inst. Stand. Technol. 95, 497 (1990); see also E.R. Cohen and B.N. Taylor, “The Fundamental Physical Constants,” Phys. Today, August 1997 Part 2, BG7. In general, the new results give uncertainties for the affected constants that are 5 to 7 times smaller than the 1986 uncertainties, but the changes in the values themselves are smaller than twice the 1986 uncertainties. -
Murray Gell-Mann Hadrons, Quarks And
A Life of Symmetry Dennis Silverman Department of Physics and Astronomy UC Irvine Biographical Background Murray Gell-Mann was born in Manhattan on Sept. 15, 1929, to Jewish parents from the Austro-Hungarian empire. His father taught German to Americans. Gell-Mann was a child prodigy interested in nature and math. He started Yale at 15 and graduated at 18 with a bachelors in Physics. He then went to graduate school at MIT where he received his Ph. D. in physics at 21 in 1951. His thesis advisor was the famous Vicky Weisskopf. His life and work is documented in remarkable detail on videos that he recorded on webofstories, which can be found by just Google searching “webofstories Gell-Mann”. The Young Murray Gell-Mann Gell-Mann’s Academic Career (from Wikipedia) He was a postdoctoral fellow at the Institute for Advanced Study in 1951, and a visiting research professor at the University of Illinois at Urbana– Champaign from 1952 to 1953. He was a visiting associate professor at Columbia University and an associate professor at the University of Chicago in 1954-55, where he worked with Fermi. After Fermi’s death, he moved to the California Institute of Technology, where he taught from 1955 until he retired in 1993. Web of Stories video of Gell-Mann on Fermi and Weisskopf. The Weak Interactions: Feynman and Gell-Mann •Feynman and Gell-Mann proposed in 1957 and 1958 the theory of the weak interactions that acted with a current like that of the photon, minus a similar one that included parity violation. -
Magnetism in Transition Metal Complexes
Magnetism for Chemists I. Introduction to Magnetism II. Survey of Magnetic Behavior III. Van Vleck’s Equation III. Applications A. Complexed ions and SOC B. Inter-Atomic Magnetic “Exchange” Interactions © 2012, K.S. Suslick Magnetism Intro 1. Magnetic properties depend on # of unpaired e- and how they interact with one another. 2. Magnetic susceptibility measures ease of alignment of electron spins in an external magnetic field . 3. Magnetic response of e- to an external magnetic field ~ 1000 times that of even the most magnetic nuclei. 4. Best definition of a magnet: a solid in which more electrons point in one direction than in any other direction © 2012, K.S. Suslick 1 Uses of Magnetic Susceptibility 1. Determine # of unpaired e- 2. Magnitude of Spin-Orbit Coupling. 3. Thermal populations of low lying excited states (e.g., spin-crossover complexes). 4. Intra- and Inter- Molecular magnetic exchange interactions. © 2012, K.S. Suslick Response to a Magnetic Field • For a given Hexternal, the magnetic field in the material is B B = Magnetic Induction (tesla) inside the material current I • Magnetic susceptibility, (dimensionless) B > 0 measures the vacuum = 0 material response < 0 relative to a vacuum. H © 2012, K.S. Suslick 2 Magnetic field definitions B – magnetic induction Two quantities H – magnetic intensity describing a magnetic field (Système Internationale, SI) In vacuum: B = µ0H -7 -2 µ0 = 4π · 10 N A - the permeability of free space (the permeability constant) B = H (cgs: centimeter, gram, second) © 2012, K.S. Suslick Magnetism: Definitions The magnetic field inside a substance differs from the free- space value of the applied field: → → → H = H0 + ∆H inside sample applied field shielding/deshielding due to induced internal field Usually, this equation is rewritten as (physicists use B for H): → → → B = H0 + 4 π M magnetic induction magnetization (mag. -
A Peek Into Spin Physics
A Peek into Spin Physics Dustin Keller University of Virginia Colloquium at Kent State Physics Outline ● What is Spin Physics ● How Do we Use It ● An Example Physics ● Instrumentation What is Spin Physics The Physics of exploiting spin - Spin in nuclear reactions - Nucleon helicity structure - 3D Structure of nucleons - Fundamental symmetries - Spin probes in beyond SM - Polarized Beams and Targets,... What is Spin Physics What is Spin Physics ● The Physics of exploiting spin : By using Polarized Observables Spin: The intrinsic form of angular momentum carried by elementary particles, composite particles, and atomic nuclei. The Spin quantum number is one of two types of angular momentum in quantum mechanics, the other being orbital angular momentum. What is Spin Physics What Quantum Numbers? What is Spin Physics What Quantum Numbers? Internal or intrinsic quantum properties of particles, which can be used to uniquely characterize What is Spin Physics What Quantum Numbers? Internal or intrinsic quantum properties of particles, which can be used to uniquely characterize These numbers describe values of conserved quantities in the dynamics of a quantum system What is Spin Physics But a particle is not a sphere and spin is solely a quantum-mechanical phenomena What is Spin Physics Stern-Gerlach: If spin had continuous values like the classical picture we would see it What is Spin Physics Stern-Gerlach: Instead we see spin has only two values in the field with opposite directions: or spin-up and spin-down What is Spin Physics W. Pauli (1925) -
Deuterium Magnetic Resonance: Theory and Application to Lipid Membranes
Quarterly Reviews of Biophysics 10, 3 (1977), pp. 353-418. Printed in Great Britain Deuterium magnetic resonance: theory and application to lipid membranes JOACHIM SEELIG Department of Biophysical Chemistry, Biocenter of the University of Basel, Klingelbergstrasse 70, C//-4056 Basel, Switzerland I. INTRODUCTION 345 II. THEORY OF DEUTERIUM MAGNETIC RESONANCE 358 A. Deuterium magnetic resonance in the absence of molecular motion 358 1. General theory 358 2. Rotation of the coordinate system 359 3. Principal coordinate system 360 4. Energy levels 362 5. Lineshapes of polycrystalline samples 364 B. Deuterium magnetic resonance of liquid crystals 369 1. Anisotropic motions in liquid crystals 369 2. Deuterium-order parameters in planar-oriented liquid crystals 373 3. Lineshapes for random and cylindrical distributions of liquid crystalline microdomains 377 4. Anisotropic rotation of CD2 and CD3 groups 383 5. Deuterium quadrupole relaxation in anisotropic media 386 III. APPLICATION OF DEUTERIUM MAGNETIC RESONANCE TO LIPID MEMBRANES 388 A. Lipid bilayers composed of soap molecules 388 B. Phospholipid bilayers 393 1. Hydrocarbon region 394 2. Structure and flexibility of the polar head groups 405 REFERENCES 411 23-2 Downloaded from https://www.cambridge.org/core. WWZ Bibliothek, on 14 Nov 2017 at 10:27:10, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0033583500002948 354 J- SEELIG I. INTRODUCTION Proton and carbon-13 nmr spectra of unsonicated lipid bilayers and biological membranes are generally dominated by strong proton-proton and proton-carbon dipolar interactions. As a result the spectra contain a large number of overlapping resonances and are rather difficult to analyse.