AS and Year 1 Glossary OCR Physics A
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Non-Equilibrium Carrier Concentrations
ECE 531 Semiconductor Devices Lecture Notes { 06 Dr. Andre Zeumault Outline 1 Overview 1 2 Revisiting Equilibrium Considerations1 2.1 What is Meant by Thermal Equilibrium?........................1 2.2 Non-Equilibrium Carrier Concentrations.........................3 3 Recombination and Generation3 3.1 Generation.........................................3 4 Continuity Equations5 4.1 Minority Carrier Diffusion Equations...........................5 5 Quasi-Fermi Levels8 1 Overview So far, we have only discussed charge carrier concentrations under equilibrium conditions. Since no current can flow in thermal equilibrium, this particular case isn't much interest to us in trying to create electronic devices. Therefore, in this lecture, we discuss the situations and governing equations in which a charge carrier responds under non-equilibrium conditions. Topics to be covered include: • Recombination and Generation: An increase (generation) or decrease (recombination) in charge carrier concentrations away from or towards equilibrium. (e.g. due to absorption of light) • Current Continuity: Charge conservation, applied in the context of drift/diffusion. • Minority Carrier Diffusion Equations: Minority carrier diffusion in the presence of a large majority carrier concentration. • Quasi-Fermi Levels: Treating carrier densities under non-equilibrium conditions. 2 Revisiting Equilibrium Considerations 2.1 What is Meant by Thermal Equilibrium? When we discussed equilibrium charge carrier concentrations, it was argued that the production of charge carriers was thermally activated. This was shown to be true regardless of whether or not the semiconductor was intrinsic or extrinsic. When a semiconductor is intrinsic, the thermal energy necessary for charge carrier production is the bandgap energy EG, which corresponds to the energy needed to break a Silicon-Silicon covalent bond. -
1.3.4 Atoms and Molecules Name Symbol Definition SI Unit
1.3.4 Atoms and molecules Name Symbol Definition SI unit Notes nucleon number, A 1 mass number proton number, Z 1 atomic number neutron number N N = A - Z 1 electron rest mass me kg (1) mass of atom, ma, m kg atomic mass 12 atomic mass constant mu mu = ma( C)/12 kg (1), (2) mass excess ∆ ∆ = ma - Amu kg elementary charge, e C proton charage Planck constant h J s Planck constant/2π h h = h/2π J s 2 2 Bohr radius a0 a0 = 4πε0 h /mee m -1 Rydberg constant R∞ R∞ = Eh/2hc m 2 fine structure constant α α = e /4πε0 h c 1 ionization energy Ei J electron affinity Eea J (1) Analogous symbols are used for other particles with subscripts: p for proton, n for neutron, a for atom, N for nucleus, etc. (2) mu is equal to the unified atomic mass unit, with symbol u, i.e. mu = 1 u. In biochemistry the name dalton, with symbol Da, is used for the unified atomic mass unit, although the name and symbols have not been accepted by CGPM. Chapter 1 - 1 Name Symbol Definition SI unit Notes electronegativity χ χ = ½(Ei +Eea) J (3) dissociation energy Ed, D J from the ground state D0 J (4) from the potential De J (4) minimum principal quantum n E = -hcR/n2 1 number (H atom) angular momentum see under Spectroscopy, section 3.5. quantum numbers -1 magnetic dipole m, µ Ep = -m⋅⋅⋅B J T (5) moment of a molecule magnetizability ξ m = ξB J T-2 of a molecule -1 Bohr magneton µB µB = eh/2me J T (3) The concept of electronegativity was intoduced by L. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions. -
An Introduction to Mass Spectrometry
An Introduction to Mass Spectrometry by Scott E. Van Bramer Widener University Department of Chemistry One University Place Chester, PA 19013 [email protected] http://science.widener.edu/~svanbram revised: September 2, 1998 © Copyright 1997 TABLE OF CONTENTS INTRODUCTION ........................................................... 4 SAMPLE INTRODUCTION ....................................................5 Direct Vapor Inlet .......................................................5 Gas Chromatography.....................................................5 Liquid Chromatography...................................................6 Direct Insertion Probe ....................................................6 Direct Ionization of Sample ................................................6 IONIZATION TECHNIQUES...................................................6 Electron Ionization .......................................................7 Chemical Ionization ..................................................... 9 Fast Atom Bombardment and Secondary Ion Mass Spectrometry .................10 Atmospheric Pressure Ionization and Electrospray Ionization ....................11 Matrix Assisted Laser Desorption/Ionization ................................ 13 Other Ionization Methods ................................................13 Self-Test #1 ...........................................................14 MASS ANALYZERS .........................................................14 Quadrupole ............................................................15 -
Glossary of Terms Used in Photochemistry, 3Rd Edition (IUPAC
Pure Appl. Chem., Vol. 79, No. 3, pp. 293–465, 2007. doi:10.1351/pac200779030293 © 2007 IUPAC INTERNATIONAL UNION OF PURE AND APPLIED CHEMISTRY ORGANIC AND BIOMOLECULAR CHEMISTRY DIVISION* SUBCOMMITTEE ON PHOTOCHEMISTRY GLOSSARY OF TERMS USED IN PHOTOCHEMISTRY 3rd EDITION (IUPAC Recommendations 2006) Prepared for publication by S. E. BRASLAVSKY‡ Max-Planck-Institut für Bioanorganische Chemie, Postfach 10 13 65, 45413 Mülheim an der Ruhr, Germany *Membership of the Organic and Biomolecular Chemistry Division Committee during the preparation of this re- port (2003–2006) was as follows: President: T. T. Tidwell (1998–2003), M. Isobe (2002–2005); Vice President: D. StC. Black (1996–2003), V. T. Ivanov (1996–2005); Secretary: G. M. Blackburn (2002–2005); Past President: T. Norin (1996–2003), T. T. Tidwell (1998–2005) (initial date indicates first time elected as Division member). The list of the other Division members can be found in <http://www.iupac.org/divisions/III/members.html>. Membership of the Subcommittee on Photochemistry (2003–2005) was as follows: S. E. Braslavsky (Germany, Chairperson), A. U. Acuña (Spain), T. D. Z. Atvars (Brazil), C. Bohne (Canada), R. Bonneau (France), A. M. Braun (Germany), A. Chibisov (Russia), K. Ghiggino (Australia), A. Kutateladze (USA), H. Lemmetyinen (Finland), M. Litter (Argentina), H. Miyasaka (Japan), M. Olivucci (Italy), D. Phillips (UK), R. O. Rahn (USA), E. San Román (Argentina), N. Serpone (Canada), M. Terazima (Japan). Contributors to the 3rd edition were: A. U. Acuña, W. Adam, F. Amat, D. Armesto, T. D. Z. Atvars, A. Bard, E. Bill, L. O. Björn, C. Bohne, J. Bolton, R. Bonneau, H. -
Application Note No. 034 Carrier Lifetime and Forward Resistance in RF PIN-Diodes
Application Note, Rev. 2.0, Oct. 2006 Application Note No. 034 Carrier Lifetime and Forward Resistance in RF PIN-Diodes RF & Protection Devices Edition 2006-10-20 Published by Infineon Technologies AG 81726 München, Germany © Infineon Technologies AG 2009. All Rights Reserved. LEGAL DISCLAIMER THE INFORMATION GIVEN IN THIS APPLICATION NOTE IS GIVEN AS A HINT FOR THE IMPLEMENTATION OF THE INFINEON TECHNOLOGIES COMPONENT ONLY AND SHALL NOT BE REGARDED AS ANY DESCRIPTION OR WARRANTY OF A CERTAIN FUNCTIONALITY, CONDITION OR QUALITY OF THE INFINEON TECHNOLOGIES COMPONENT. THE RECIPIENT OF THIS APPLICATION NOTE MUST VERIFY ANY FUNCTION DESCRIBED HEREIN IN THE REAL APPLICATION. INFINEON TECHNOLOGIES HEREBY DISCLAIMS ANY AND ALL WARRANTIES AND LIABILITIES OF ANY KIND (INCLUDING WITHOUT LIMITATION WARRANTIES OF NON-INFRINGEMENT OF INTELLECTUAL PROPERTY RIGHTS OF ANY THIRD PARTY) WITH RESPECT TO ANY AND ALL INFORMATION GIVEN IN THIS APPLICATION NOTE. Information For further information on technology, delivery terms and conditions and prices please contact your nearest Infineon Technologies Office (www.infineon.com). Warnings Due to technical requirements components may contain dangerous substances. For information on the types in question please contact your nearest Infineon Technologies Office. Infineon Technologies Components may only be used in life-support devices or systems with the express written approval of Infineon Technologies, if a failure of such components can reasonably be expected to cause the failure of that life-support device or system, or to affect the safety or effectiveness of that device or system. Life support devices or systems are intended to be implanted in the human body, or to support and/or maintain and sustain and/or protect human life. -
Millikan Oil Drop Experiment
(revised 1/23/02) MILLIKAN OIL-DROP EXPERIMENT Advanced Laboratory, Physics 407 University of Wisconsin Madison, Wisconsin 53706 Abstract The charge of the electron is measured using the classic technique of Millikan. Mea- surements are made of the rise and fall times of oil drops illuminated by light from a Helium{Neon laser. A radioactive source is used to enhance the probability that a given drop will change its charge during observation. The emphasis of the experiment is to make an accurate measurement with a full analysis of statistical and systematic errors. Introduction Robert A. Millikan performed a set of experiments which gave two important results: (1) Electric charge is quantized. All electric charges are integral multiples of a unique elementary charge e. (2) The elementary charge was measured and found to have the value e = 1:60 19 × 10− Coulombs. Of these two results, the first is the most significant since it makes an absolute assertion about the nature of matter. We now recognize e as the elementary charge carried by the electron and other elementary particles. More precise measurements have given the value 19 e = (1:60217733 0:00000049) 10− Coulombs ± × The electric charge carried by a particle may be calculated by measuring the force experienced by the particle in an electric field of known strength. Although it is relatively easy to produce a known electric field, the force exerted by such a field on a particle carrying only one or several excess electrons is very small. For example, 14 a field of 1000 volts per cm would exert a force of only 1:6 10− N on a particle × 12 bearing one excess electron. -
Electric Charge
Electric Charge • Electric charge is a fundamental property of atomic particles – such as electrons and protons • Two types of charge: negative and positive – Electron is negative, proton is positive • Usually object has equal amounts of each type of charge so no net charge • Object is said to be electrically neutral Charged Object • Object has a net charge if two types of charge are not in balance • Object is said to be charged • Net charge is always small compared to the total amount of positive and negative charge contained in an object • The net charge of an isolated system remains constant Law of Electric Charges • Charged objects interact by exerting forces on one another • Law of Charges: Like charges repel, and opposite charges attract • The standard unit (SI) of charge is the Coulomb (C) Electric Properties • Electrical properties of materials such as metals, water, plastic, glass and the human body are due to the structure and electrical nature of atoms • Atoms consist of protons (+), electrons (-), and neutrons (electrically neutral) Atom Schematic view of an atom • Electrically neutral atoms contain equal numbers of protons and electrons Conductors and Insulators • Atoms combine to form solids • Sometimes outermost electrons move about the solid leaving positive ions • These mobile electrons are called conduction electrons • Solids where electrons move freely about are called conductors – metal, body, water • Solids where charge can’t move freely are called insulators – glass, plastic Charging Objects • Only the conduction -
Quantifying the Quantum Stephan Schlamminger Looks at the Origins of the Planck Constant and Its Current Role in Redefining the Kilogram
measure for measure Quantifying the quantum Stephan Schlamminger looks at the origins of the Planck constant and its current role in redefining the kilogram. child on a swing is an everyday mechanical constant (h) with high precision, measure a approximation of a macroscopic a macroscopic experiment is necessary, force — in A harmonic oscillator. The total energy because the unit of mass, the kilogram, can this case of such a system depends on its amplitude, only be accessed with high precision at the the weight while the frequency of oscillation is, at one-kilogram value through its definition of a mass least for small amplitudes, independent as the mass of the International Prototype m — as of the amplitude. So, it seems that the of the Kilogram (IPK). The IPK is the only the product energy of the system can be adjusted object on Earth whose mass we know for of a current continuously from zero upwards — that is, certain2 — all relative uncertainties increase and a voltage the child can swing at any amplitude. This from thereon. divided by a velocity, is not the case, however, for a microscopic The revised SI, likely to come into mg = UI/v (with g the oscillator, the physics of which is described effect in 2019, is based on fixed numerical Earth’s gravitational by the laws of quantum mechanics. A values, without uncertainties, of seven acceleration). quantum-mechanical swing can change defining constants, three of which are Meanwhile, the its energy only in steps of hν, the product already fixed in the present SI; the four discoveries of the Josephson of the Planck constant and the oscillation additional ones are the elementary and quantum Hall effects frequency — the (energy) quantum of charge and the Planck, led to precise electrical the oscillator. -
The Question of Charge and of Mass
The question of charge and of mass. Voicu Dolocan Faculty of Physics, University of Bucharest, Bucharest, Romania Abstract. There are two long –range forces in the Universe, electromagnetism and gravity. We have found a general expression for the energy of interaction in these cases, αћc/r, where α is the fine structure constant and r is the distance between the two particles. In the case of electromagnetic interaction we have 2 αћc = e /4πεo, where e is the gauge charge, which is the elementary electron charge. In the case of the gravitational interaction we have αћc = GM2, where M = 1.85×10-9 kg is the gauge mass of the particle. This is a giant particle. A system of like charged giant particles, would be a charged superfluid. By spontaneous breaking of a gauge symmetry are generated the Higgs massive bosons. The unitary gauge assure generation of the neutral massive particles. The perturbation from the unitary gauge generates charged massive particles. Also, the Higgs boson decays into charged and neutral particles. The Tesla coil is the user of the excitations of the vacuum. 1. What is electric charge, and what is mass? According to the Standard Model “ The electric charge is a fundamental conserved property of certain subatomic particles that determines the electromagnetic interactions”. Electrically charged particles are influenced by and create electromagnetic fields. The elementary unit of charge is carried by a single proton and the equivalent negative charge is carried by a single electron. Also, there are up quarks with (2/3)e charge and there are down quarks with (1/3)e- charge. -
Measuring Elementary Charge Currently Accepted Number
8.11 Electromagnetic Forces 8.11 Electromagnetic Forces 4 The value Millikan and Fletcher measured for elementary charge is slightly smaller than the Measuring Elementary Charge currently accepted number. They used an incorrect value for the viscosity of air. This affected their calculation. The number for elementary charge underwent several revisions. Each time the number became a little bigger. Noted physicist, Richard Feynman, remarked on the way 1 Robert Millikan and Harvey physicists arrived at the currently accepted number. Feynman suggested that physicists Fletcher performed an calculating a value that was significantly larger than Millikan’s thought they were wrong. They experiment to measure the looked for problems in their experiments to explain their “error.” Physicists are subject to bias elementary charge in 1909. just as other humans are. Physicists measuring elementary charge trusted the previously The diagram to the right published results more than their own calculations. One might call this bias “conformity bias.” shows the experimental Conformity bias can be defined as the belief that previously published findings can’t be very far setup. Fine oil mist is off. Conformity bias can be both good and bad. It can lead to more thorough experimentation sprayed into a chamber and analysis. It can also ignore truly novel results. through a nozzle. Friction in the nozzle makes some 5 According to theory, all charge has to be a multiple of the elementary charge, the charge of a droplets become charged. The droplets fall through the chamber into the area between the single electron. More than 100 million additional oil droplets have been measured during the metal plates.