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An Atomic Physics Perspective on the New Kilogram Defined by Planck's Constant
An atomic physics perspective on the new kilogram defined by Planck’s constant (Wolfgang Ketterle and Alan O. Jamison, MIT) (Manuscript submitted to Physics Today) On May 20, the kilogram will no longer be defined by the artefact in Paris, but through the definition1 of Planck’s constant h=6.626 070 15*10-34 kg m2/s. This is the result of advances in metrology: The best two measurements of h, the Watt balance and the silicon spheres, have now reached an accuracy similar to the mass drift of the ur-kilogram in Paris over 130 years. At this point, the General Conference on Weights and Measures decided to use the precisely measured numerical value of h as the definition of h, which then defines the unit of the kilogram. But how can we now explain in simple terms what exactly one kilogram is? How do fixed numerical values of h, the speed of light c and the Cs hyperfine frequency νCs define the kilogram? In this article we give a simple conceptual picture of the new kilogram and relate it to the practical realizations of the kilogram. A similar change occurred in 1983 for the definition of the meter when the speed of light was defined to be 299 792 458 m/s. Since the second was the time required for 9 192 631 770 oscillations of hyperfine radiation from a cesium atom, defining the speed of light defined the meter as the distance travelled by light in 1/9192631770 of a second, or equivalently, as 9192631770/299792458 times the wavelength of the cesium hyperfine radiation. -
Operating Instructions Ac Snap-Around Volt-Ohm
4.5) HOW TO USE POINTER LOCK & RANGE FINDER LIFETIME LIMITED WARRANTY 05/06 From #174-1 SYMBOLS The attention to detail of this fine snap-around instrument is further enhanced by OPERATING INSTRUCTIONS (1) Slide the pointer lock button to the left. This allows easy readings in dimly lit the application of Sperry's unmatched service and concern for detail and or crowded cable areas (Fig.8). reliability. AC SNAP-AROUND VOLT-OHM-AMMETER (2) For quick and easy identification the dial drum is marked with the symbols as These Sperry snap-arounds are internationally accepted by craftsman and illustrated below (Fig.9). servicemen for their unmatched performance. All Sperry's snap-around MODEL SPR-300 PLUS & SPR-300 PLUS A instruments are unconditionally warranted against defects in material and Pointer Ampere Higher workmanship under normal conditions of use and service; our obligations under Lock range range to the to the this warranty being limited to repairing or replacing, free of charge, at Sperry's right. right. sole option, any such Sperry snap-around instrument that malfunctions under normal operating conditions at rated use. 1 Lower Lower range range to the to the left. left. REPLACEMENT PROCEDURE Fig.8 Fig.9 Securely wrap the instrument and its accessories in a box or mailing bag and ship prepaid to the address below. Be sure to include your name and address, as 5) BATTERY & FUSE REPLACEMENT well as the name of the distributor, with a copy of your invoice from whom the (1) Remove the screw on the back of the case for battery and fuse replacement unit was purchased, clearly identifying the model number and date of purchase. -
Modern Physics Unit 15: Nuclear Structure and Decay Lecture 15.1: Nuclear Characteristics
Modern Physics Unit 15: Nuclear Structure and Decay Lecture 15.1: Nuclear Characteristics Ron Reifenberger Professor of Physics Purdue University 1 Nucleons - the basic building blocks of the nucleus Also written as: 7 3 Li ~10-15 m Examples: A X=Chemical Element Z X Z = number of protons = atomic number 12 A = atomic mass number = Z+N 6 C N= A-Z = number of neutrons 35 17 Cl 2 What is the size of a nucleus? Three possibilities • Range of nuclear force? • Mass radius? • Charge radius? It turns out that for nuclear matter Nuclear force radius ≈ mass radius ≈ charge radius defines nuclear force range defines nuclear surface 3 Nuclear Charge Density The size of the lighter nuclei can be approximated by modeling the nuclear charge density ρ (C/m3): t ≈ 4.4a; a=0.54 fm 90% 10% Usually infer the best values for ρo, R and a for a given nucleus from scattering experiments 4 Nuclear mass density Scattering experiments indicate the nucleus is roughly spherical with a radius given by 1 3 −15 R = RRooA ; =1.07 × 10meters= 1.07 fm = 1.07 fermis A=atomic mass number What is the nuclear mass density of the most common isotope of iron? 56 26 Fe⇒= A56; Z = 26, N = 30 m Am⋅⋅3 Am 33A ⋅ m m ρ = nuc p= p= pp = o 1 33 VR4 3 3 3 44ππA R nuc π R 4(π RAo ) o o 3 3×× 1.66 10−27 kg = 3.2× 1017kg / m 3 4×× 3.14 (1.07 × 10−15m ) 3 The mass density is constant, independent of A! 5 Nuclear mass density for 27Al, 97Mo, 238U (from scattering experiments) (kg/m3) ρo heavy mass nucleus light mass nucleus middle mass nucleus 6 Typical Densities Material Density Helium 0.18 kg/m3 Air (dry) 1.2 kg/m3 Styrofoam ~100 kg/m3 Water 1000 kg/m3 Iron 7870 kg/m3 Lead 11,340 kg/m3 17 3 Nuclear Matter ~10 kg/m 7 Isotopes - same chemical element but different mass (J.J. -
Units and Magnitudes (Lecture Notes)
physics 8.701 topic 2 Frank Wilczek Units and Magnitudes (lecture notes) This lecture has two parts. The first part is mainly a practical guide to the measurement units that dominate the particle physics literature, and culture. The second part is a quasi-philosophical discussion of deep issues around unit systems, including a comparison of atomic, particle ("strong") and Planck units. For a more extended, profound treatment of the second part issues, see arxiv.org/pdf/0708.4361v1.pdf . Because special relativity and quantum mechanics permeate modern particle physics, it is useful to employ units so that c = ħ = 1. In other words, we report velocities as multiples the speed of light c, and actions (or equivalently angular momenta) as multiples of the rationalized Planck's constant ħ, which is the original Planck constant h divided by 2π. 27 August 2013 physics 8.701 topic 2 Frank Wilczek In classical physics one usually keeps separate units for mass, length and time. I invite you to think about why! (I'll give you my take on it later.) To bring out the "dimensional" features of particle physics units without excess baggage, it is helpful to keep track of powers of mass M, length L, and time T without regard to magnitudes, in the form When these are both set equal to 1, the M, L, T system collapses to just one independent dimension. So we can - and usually do - consider everything as having the units of some power of mass. Thus for energy we have while for momentum 27 August 2013 physics 8.701 topic 2 Frank Wilczek and for length so that energy and momentum have the units of mass, while length has the units of inverse mass. -
Measuring Vibration Using Sound Level Meter Nor140
Application Note Measuring vibration using sound level meter Nor140 This technical note describes the use of the sound level meter Nor140 for measurement of acceleration levels. The normal microphone is then substituted by an accelerometer. The note also describes calibration and the relation between the level in decibel and the acceleration in linear units. AN Vibration Ed2Rev0 English 03.08 AN Vibration Ed2Rev0 English 03.08 Introduction Accelerometer Most sound level meters and sound analysers can be used for Many types of acceleration sensitive sensors exist. For vibration measurements, even if they do not provide absolute connection to Nor140 sound level meter the easiest is to (linear) units in the display. To simplify the description, this ap- apply an ICP® or CCP type. This type of transducers has low plication note describes the use of the handheld sound level output impedance and may be supplied through a coaxial meter Norsonic Nor140. However, the described principles able. Nor1270 (Sens. 10 mV/ms-2; 23 g) and Nor1271 (Sens. also apply to other types of sound level meters. 1,0 mV/ms-2; 3,5 g) are recommended. Connect the accelero- Although several transducer principles are commercially meter through the BNC/Lemo cable Nor1438 and the BNC to available, this application note will deal with the accelerometer microdot adaptor Nor1466. You also need a BNC-BNC female only, simply because it is the transducer type most commonly connector. See the figure below. encountered when measuring vibration levels. As the name Alternatively, a charge sensitive accelerometer may be suggests, the accelerometer measures the acceleration it is used and coupled to the normal microphone preamplifier exposed to and provides an output signal proportional to the Nor1209 through the adapter with BNC input Nor1447/2 and instant acceleration. -
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. -
Topic 0991 Electrochemical Units Electric Current the SI Base
Topic 0991 Electrochemical Units Electric Current The SI base electrical unit is the AMPERE which is that constant electric current which if maintained in two straight parallel conductors of infinite length and of negligible circular cross section and placed a metre apart in a vacuum would produce between these conductors a force equal to 2 x 10-7 newton per metre length. It is interesting to note that definition of the Ampere involves a derived SI unit, the newton. Except in certain specialised applications, electric currents of the order ‘amperes’ are rare. Starter motors in cars require for a short time a current of several amperes. When a current of one ampere passes through a wire about 6.2 x 1018 electrons pass a given point in one second [1,2]. The coulomb (symbol C) is the electric charge which passes through an electrical conductor when an electric current of one A flows for one second. Thus [C] = [A s] (a) Electric Potential In order to pass an electric current thorough an electrical conductor a difference in electric potential must exist across the electrical conductor. If the energy expended by a flow of one ampere for one second equals one Joule the electric potential difference across the electrical conductor is one volt [3]. Electrical Resistance and Conductance If the electric potential difference across an electrical conductor is one volt when the electrical current is one ampere, the electrical resistance is one ohm, symbol Ω [4]. The inverse of electrical resistance , the conductance, is measured using the unit siemens, symbol [S]. -
Output Watt Ampere Voltage Priority 8Ports 1600Max Load 10Charger
Active Modular Energy System 1600W Active Power and Control The processors on board the NCore Lite constantly monitor the operating status and all the parameters of voltage, absorption, temperature and battery charge status. The software operates proactively by analyzing the applied loads and intervening to ensure maximum operating life for the priority devices. All in 1 Rack Unit All the functionality is contained in a single rack unit. Hi Speed Switch All actuators and protection diodes have been replaced with low resistance mosfets ensuring instant switching times, efficiency and minimum heat dissi- pation. Dual Processor Ouput NCore Lite is equipped with 2 processors. One is dedicated to the monitoring ports and operation of the hardware part, the other is used for front-end manage- 8 ment. This division makes the system immune from attacks from outside. Watt typ load 1600 Port Status and Battery circuit breaker Ampere Load Indicator 10 charger Voltage OUT selectionable 800W AC/DC 54V Battery Connector Priority External thermistor system OPT 2 8 x OUTPUT ports Status & alarm indicator 9dot Smart solutions for new energy systems DCDC Input Module Hi Efficiency The DCDC Input module is an 800W high efficiency isolated converter with 54V output voltage. With an extended input voltage range between 36V and 75V, it can easily be powered by batteries, DC micro-grids or solar panels. Always on It can be combined with load sharing ACDC Input modules or used as the only power source. In case of overload or insufficient input, it goes into -
Gravity and Coulomb's
Gravity operates by the inverse square law (source Hyperphysics) A main objective in this lesson is that you understand the basic notion of “inverse square” relationships. There are a small number (perhaps less than 25) general paradigms of nature that if you make them part of your basic view of nature they will help you greatly in your understanding of how nature operates. Gravity is the weakest of the four fundamental forces, yet it is the dominant force in the universe for shaping the large-scale structure of galaxies, stars, etc. The gravitational force between two masses m1 and m2 is given by the relationship: This is often called the "universal law of gravitation" and G the universal gravitation constant. It is an example of an inverse square law force. The force is always attractive and acts along the line joining the centers of mass of the two masses. The forces on the two masses are equal in size but opposite in direction, obeying Newton's third law. You should notice that the universal gravitational constant is REALLY small so gravity is considered a very weak force. The gravity force has the same form as Coulomb's law for the forces between electric charges, i.e., it is an inverse square law force which depends upon the product of the two interacting sources. This led Einstein to start with the electromagnetic force and gravity as the first attempt to demonstrate the unification of the fundamental forces. It turns out that this was the wrong place to start, and that gravity will be the last of the forces to unify with the other three forces. -
Volt-Ohm-Milliampere Meter (VOM) Content 1
2141274 Electrical and Electronic Laboratory Faculty of Engineering, Chulalongkorn University Volt-Ohm-Milliampere Meter (VOM) Content 1. Objective 2. Theoretical part 2.1) Volt-Ohm-Milliampere (VOM) meter 2.2) Color codes for a resistor 2.3) Identification of diodes and transistor polarities 3. Experimental part 3.1) Experimental instructions 3.2) Experimental report 1. Objective This laboratory helps you to familiarize with a Volt-Ohm-Milliampere (VOM) meter. 2. Theoretical Part 2.1) Volt-Ohm-Milliampere (VOM) Meter A meter with a single D’Arsonval movement that can be used to measure multiple ranges of currents and voltages is called a multimeter. A common type of analog multimetera combination voltmeter, ohmmeter and milliammeteris abbreviated VOM. The block diagram of a basic multimeter is shown in Figure 1. Moving coil type Microammeter DC Voltage Measurement Selector switch AC Voltage Measurement DC Current Measurement Test terminal Resistance Measurement Test leads Figure 1: Block diagram of a basic multimeter. The ammeter in Figure 1 is a moving coil ammeter. It uses magnetic deflection, where current passing through a coil in a magnetic field from permanent magnet creates the torque and causes the coil to move clockwise. The distance of the coil moves is proportional to the passing DC current. Figure 2 illustrates the D’Arsonval movement. 1 Figure 2: D’Arsonval movement. For DC voltage measurement, large values of resistances are connected in series with a microammeter, e.g. 50 µA, 2000 Ω, in order to limit the current passing through it. The voltage obtained can be computed from the passing current and the resistance value. -
Relationships of the SI Derived Units with Special Names and Symbols and the SI Base Units
Relationships of the SI derived units with special names and symbols and the SI base units Derived units SI BASE UNITS without special SI DERIVED UNITS WITH SPECIAL NAMES AND SYMBOLS names Solid lines indicate multiplication, broken lines indicate division kilogram kg newton (kg·m/s2) pascal (N/m2) gray (J/kg) sievert (J/kg) 3 N Pa Gy Sv MASS m FORCE PRESSURE, ABSORBED DOSE VOLUME STRESS DOSE EQUIVALENT meter m 2 m joule (N·m) watt (J/s) becquerel (1/s) hertz (1/s) LENGTH J W Bq Hz AREA ENERGY, WORK, POWER, ACTIVITY FREQUENCY second QUANTITY OF HEAT HEAT FLOW RATE (OF A RADIONUCLIDE) s m/s TIME VELOCITY katal (mol/s) weber (V·s) henry (Wb/A) tesla (Wb/m2) kat Wb H T 2 mole m/s CATALYTIC MAGNETIC INDUCTANCE MAGNETIC mol ACTIVITY FLUX FLUX DENSITY ACCELERATION AMOUNT OF SUBSTANCE coulomb (A·s) volt (W/A) C V ampere A ELECTRIC POTENTIAL, CHARGE ELECTROMOTIVE ELECTRIC CURRENT FORCE degree (K) farad (C/V) ohm (V/A) siemens (1/W) kelvin Celsius °C F W S K CELSIUS CAPACITANCE RESISTANCE CONDUCTANCE THERMODYNAMIC TEMPERATURE TEMPERATURE t/°C = T /K – 273.15 candela 2 steradian radian cd lux (lm/m ) lumen (cd·sr) 2 2 (m/m = 1) lx lm sr (m /m = 1) rad LUMINOUS INTENSITY ILLUMINANCE LUMINOUS SOLID ANGLE PLANE ANGLE FLUX The diagram above shows graphically how the 22 SI derived units with special names and symbols are related to the seven SI base units. In the first column, the symbols of the SI base units are shown in rectangles, with the name of the unit shown toward the upper left of the rectangle and the name of the associated base quantity shown in italic type below the rectangle.