Photon Cross Sections, Attenuation Coefficients, and Energy Absorption Coefficients from 10 Kev to 100 Gev*
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Lecture 6: Spectroscopy and Photochemistry II
Lecture 6: Spectroscopy and Photochemistry II Required Reading: FP Chapter 3 Suggested Reading: SP Chapter 3 Atmospheric Chemistry CHEM-5151 / ATOC-5151 Spring 2005 Prof. Jose-Luis Jimenez Outline of Lecture • The Sun as a radiation source • Attenuation from the atmosphere – Scattering by gases & aerosols – Absorption by gases • Beer-Lamber law • Atmospheric photochemistry – Calculation of photolysis rates – Radiation fluxes – Radiation models 1 Reminder of EM Spectrum Blackbody Radiation Linear Scale Log Scale From R.P. Turco, Earth Under Siege: From Air Pollution to Global Change, Oxford UP, 2002. 2 Solar & Earth Radiation Spectra • Sun is a radiation source with an effective blackbody temperature of about 5800 K • Earth receives circa 1368 W/m2 of energy from solar radiation From Turco From S. Nidkorodov • Question: are relative vertical scales ok in right plot? Solar Radiation Spectrum II From F-P&P •Solar spectrum is strongly modulated by atmospheric scattering and absorption From Turco 3 Solar Radiation Spectrum III UV Photon Energy ↑ C B A From Turco Solar Radiation Spectrum IV • Solar spectrum is strongly O3 modulated by atmospheric absorptions O 2 • Remember that UV photons have most energy –O2 absorbs extreme UV in mesosphere; O3 absorbs most UV in stratosphere – Chemistry of those regions partially driven by those absorptions – Only light with λ>290 nm penetrates into the lower troposphere – Biomolecules have same bonds (e.g. C-H), bonds can break with UV absorption => damage to life • Importance of protection From F-P&P provided by O3 layer 4 Solar Radiation Spectrum vs. altitude From F-P&P • Very high energy photons are depleted high up in the atmosphere • Some photochemistry is possible in stratosphere but not in troposphere • Only λ > 290 nm in trop. -
VISCOSITY of a GAS -Dr S P Singh Department of Chemistry, a N College, Patna
Lecture Note on VISCOSITY OF A GAS -Dr S P Singh Department of Chemistry, A N College, Patna A sketchy summary of the main points Viscosity of gases, relation between mean free path and coefficient of viscosity, temperature and pressure dependence of viscosity, calculation of collision diameter from the coefficient of viscosity Viscosity is the property of a fluid which implies resistance to flow. Viscosity arises from jump of molecules from one layer to another in case of a gas. There is a transfer of momentum of molecules from faster layer to slower layer or vice-versa. Let us consider a gas having laminar flow over a horizontal surface OX with a velocity smaller than the thermal velocity of the molecule. The velocity of the gaseous layer in contact with the surface is zero which goes on increasing upon increasing the distance from OX towards OY (the direction perpendicular to OX) at a uniform rate . Suppose a layer ‘B’ of the gas is at a certain distance from the fixed surface OX having velocity ‘v’. Two layers ‘A’ and ‘C’ above and below are taken into consideration at a distance ‘l’ (mean free path of the gaseous molecules) so that the molecules moving vertically up and down can’t collide while moving between the two layers. Thus, the velocity of a gas in the layer ‘A’ ---------- (i) = + Likely, the velocity of the gas in the layer ‘C’ ---------- (ii) The gaseous molecules are moving in all directions due= to −thermal velocity; therefore, it may be supposed that of the gaseous molecules are moving along the three Cartesian coordinates each. -
Seasonal and Spatial Variations in the Attenuation of Light in the North Atlantic Ocean
JEFFREY H. SMART SEASONAL AND SPATIAL VARIATIONS IN THE ATTENUATION OF LIGHT IN THE NORTH ATLANTIC OCEAN This article examines seasonal and spatial vanatlOns in the average depth profiles of the diffuse attenuation coefficient, Kd, for visible light propagating downward from the ocean surface at wavelengths of 490 and 532 nm. Profiles of the depth of the nth attenuation length are also shown. Spring, summer, and fall data from the northwestern and north central Atlantic Ocean and winter data from the northeastern Atlantic Ocean are studied. Variations in the depth-integrated Kd profiles are important because they are related to the depth penetration achievable by an airborne active optical antisubmarine warfare system. INTRODUCTION Numerous investigators have tried to characterize the the geographic areas and seasons indicated in Table 1 and diffuse attenuation coefficient (hereafter denoted as Kd) Figure 1. Despite the incomplete spatial and temporal for various ocean areas and for the different seasons. Platt coverage across the North Atlantic Ocean, this article and Sathyendranath 1 generated numerical fits to averaged should serve as a useful resource to estimate the optical profiles from coastal and open-ocean regions, and they characteristics in the areas studied. divided the North Atlantic into provinces that extended The purpose of this article is to characterize the sea from North America to Europe and over large ranges sonal and spatial variations in diffuse attenuation at 490 in latitude (e.g. , from 10.0° to 37.00 N and from 37.0° to and 532 nm. Because Kd frequently changes with depth, 50.00 N). In addition, numerous papers have attempted profiles of depth versus number of attenuation lengths are to model chlorophyll concentrations (which are closely required to characterize the attenuation of light as it correlated with Kd ) using data on available sunlight as a propagates from the surface downward into the water function of latitude and season, nutrient concentrations, column. -
7. Gamma and X-Ray Interactions in Matter
Photon interactions in matter Gamma- and X-Ray • Compton effect • Photoelectric effect Interactions in Matter • Pair production • Rayleigh (coherent) scattering Chapter 7 • Photonuclear interactions F.A. Attix, Introduction to Radiological Kinematics Physics and Radiation Dosimetry Interaction cross sections Energy-transfer cross sections Mass attenuation coefficients 1 2 Compton interaction A.H. Compton • Inelastic photon scattering by an electron • Arthur Holly Compton (September 10, 1892 – March 15, 1962) • Main assumption: the electron struck by the • Received Nobel prize in physics 1927 for incoming photon is unbound and stationary his discovery of the Compton effect – The largest contribution from binding is under • Was a key figure in the Manhattan Project, condition of high Z, low energy and creation of first nuclear reactor, which went critical in December 1942 – Under these conditions photoelectric effect is dominant Born and buried in • Consider two aspects: kinematics and cross Wooster, OH http://en.wikipedia.org/wiki/Arthur_Compton sections http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=22551 3 4 Compton interaction: Kinematics Compton interaction: Kinematics • An earlier theory of -ray scattering by Thomson, based on observations only at low energies, predicted that the scattered photon should always have the same energy as the incident one, regardless of h or • The failure of the Thomson theory to describe high-energy photon scattering necessitated the • Inelastic collision • After the collision the electron departs -
Key Elements of X-Ray CT Physics Part 2: X-Ray Interactions
Key Elements of X-ray CT Physics Part 2: X-ray Interactions NPRE 435, Principles of Imaging with Ionizing Radiation, Fall 2006 Photoelectric Effect • Photoe- absorption is the preferred interaction for X-ray imging. 2 - •Rem.:Eb Z ; characteristic x-rays and/or Auger e preferredinhigh Zmaterial. • Probability of photoe- absorption Z3/E3 (Z = atomic no.) provide contrast according to different Z. • Due to the absorption of the incident x-ray without scatter, maximum subject contrast arises with a photoe- effect interaction No scattering contamination better contrast • Explains why contrast as higher energy x-rays are used in the imaging process - • Increased probability of photoe absorption just above the Eb of the inner shells cause discontinuities in the attenuation profiles (e.g., K-edge) NPRE 435, Principles of Imaging with Ionizing Radiation, Fall 2017 Photoelectric Effect NPRE 435, Principles of Imaging with Ionizing Radiation, Fall 2017 X-ray Cross Section and Linear Attenuation Coefficient • Cross section is a measure of the probability (‘apparent area’) of interaction: (E) measured in barns (10-24 cm2) • Interaction probability can also be expressed in terms of the thickness of the material – linear attenuation coefficient: (E) = fractional number of photons removed (attenuated) from the beam after traveling through a unit length in media by absorption or scattering -1 - • (E) [cm ]=Z[e /atom] · Navg [atoms/mole] · 1/A [moles/gm] · [gm/cm3] · (E) [cm2/e-] • Multiply by 100% to get % removed from the beam/cm • (E) as E , e.g., for soft tissue (30 keV) = 0.35 cm-1 and (100 keV) = 0.16 cm-1 NPRE 435, Principles of Imaging with Ionizing Radiation, Fall 2017 Calculation of the Linear Attenuation Coefficient To the extent that Compton scattered photons are completely removed from the beam, the attenuation coefficient can be approximated as The (effective) Z value of a material is particular important for determining . -
Natural and Enhanced Attenuation of Soil and Ground Water At
LMS/MON/S04243 Office of Legacy Management Natural and Enhanced Attenuation of Soil and Groundwater at Monument Valley, Arizona, and Shiprock, New Mexico, DOE Legacy Waste Sites 2007 Pilot Study Status Report June 2008 U.S. Department OfficeOffice ofof LegacyLegacy ManagementManagement of Energy Work Performed Under DOE Contract No. DE–AM01–07LM00060 for the U.S. Department of Energy Office of Legacy Management. Approved for public release; distribution is unlimited. This page intentionally left blank LMS/MON/S04243 Natural and Enhanced Attenuation of Soil and Groundwater at Monument Valley, Arizona, and Shiprock, New Mexico, DOE Legacy Waste Sites 2007 Pilot Study Status Report June 2008 This page intentionally left blank Contents Acronyms and Abbreviations ....................................................................................................... vii Executive Summary....................................................................................................................... ix 1.0 Introduction......................................................................................................................1–1 2.0 Monument Valley Pilot Studies.......................................................................................2–1 2.1 Source Containment and Removal..........................................................................2–1 2.1.1 Phreatophyte Growth and Total Nitrogen...................................................2–1 2.1.2 Causes and Recourses for Stunted Plant Growth........................................2–5 -
12 Scattering in Three Dimensions
12 Scattering in three dimensions 12.1 Cross sections and geometry Most experiments in physics consist of sending one particle to collide with another, and looking at what comes out. The quantity we can usually measure is the scattering cross section: by analogy with classical scattering of hard spheres, we assuming that scattering occurs if the particles ‘hit’ each other. The cross section is the apparent ‘target area’. The total scattering cross section can be determined by the reduction in intensity of a beam of particles passing through a region on ‘targets’, while the differential scattering cross section requires detecting the scattered particles at different angles. We will use spherical polar coordinates, with the scattering potential located at the origin and the plane wave incident flux parallel to the z direction. In this coordinate system, scattering processes dσ are symmetric about φ, so dΩ will be independent of φ. We will also use a purely classical concept, the impact parameter b which is defined as the distance of the incident particle from the z-axis prior to scattering. S(k) δΩ I(k) θ z φ Figure 11: Standard spherical coordinate geometry for scattering 12.2 The Born Approximation We can use time-dependent perturbation theory to do an approximate calculation of the cross- section. Provided that the interaction between particle and scattering centre is localised to the region around r = 0, we can regard the incident and scattered particles as free when they are far from the scattering centre. We just need the result that we obtained for a constant perturbation, Fermi’s Golden Rule, to compute the rate of transitions between the initial state (free particle of momentum p) to the final state (free particle of momentum p0). -
Chapter 30: Quantum Physics ( ) ( )( ( )( ) ( )( ( )( )
Chapter 30: Quantum Physics 9. The tungsten filament in a standard light bulb can be considered a blackbody radiator. Use Wien’s Displacement Law (equation 30-1) to find the peak frequency of the radiation from the tungsten filament. −− 10 1 1 1. (a) Solve Eq. 30-1 fTpeak =×⋅(5.88 10 s K ) for the peak frequency: =×⋅(5.88 1010 s−− 1 K 1 )( 2850 K) =× 1.68 1014 Hz 2. (b) Because the peak frequency is that of infrared electromagnetic radiation, the light bulb radiates more energy in the infrared than the visible part of the spectrum. 10. The image shows two oxygen atoms oscillating back and forth, similar to a mass on a spring. The image also shows the evenly spaced energy levels of the oscillation. Use equation 13-11 to calculate the period of oscillation for the two atoms. Calculate the frequency, using equation 13-1, from the inverse of the period. Multiply the period by Planck’s constant to calculate the spacing of the energy levels. m 1. (a) Set the frequency T = 2π k equal to the inverse of the period: 1 1k 1 1215 N/m f = = = =4.792 × 1013 Hz Tm22ππ1.340× 10−26 kg 2. (b) Multiply the frequency by Planck’s constant: E==×⋅ hf (6.63 10−−34 J s)(4.792 × 1013 Hz) =× 3.18 1020 J 19. The light from a flashlight can be considered as the emission of many photons of the same frequency. The power output is equal to the number of photons emitted per second multiplied by the energy of each photon. -
Atmosphere Observation by the Method of LED Sun Photometry
Atmosphere Observation by the Method of LED Sun Photometry A Senior Project presented to the Faculty of the Physics Department California Polytechnic State University, San Luis Obispo In Partial Fulfillment of the Requirements of the Degree Bachelor of Science by Gregory Garza April 2013 1 Introduction The focus of this project is centered on the subject of sun photometry. The goal of the experiment was to use a simple self constructed sun photometer to observe how attenuation coefficients change over longer periods of time as well as the determination of the solar extraterrestrial constants for particular wavelengths of light. This was achieved by measuring changes in sun radiance at a particular location for a few hours a day and then use of the Langley extrapolation method on the resulting sun radiance data set. Sun photometry itself is generally involved in the practice of measuring atmospheric aerosols and water vapor. Roughly a century ago, the Smithsonian Institutes Astrophysical Observatory developed a method of measuring solar radiance using spectrometers; however, these were not usable in a simple hand-held setting. In the 1950’s Frederick Volz developed the first hand-held sun photometer, which he improved until coming to the use of silicon photodiodes to produce a photocurrent. These early stages of the development of sun photometry began with the use of silicon photodiodes in conjunction with light filters to measure particular wavelengths of sunlight. However, this method of sun photometry came with cost issues as well as unreliability resulting from degradation and wear on photodiodes. A more cost effective method was devised by amateur scientist Forrest Mims in 1989 that incorporated the use of light emitting diodes, or LEDs, that are responsive only to the light wavelength that they emit. -
The Basic Interactions Between Photons and Charged Particles With
Outline Chapter 6 The Basic Interactions between • Photon interactions Photons and Charged Particles – Photoelectric effect – Compton scattering with Matter – Pair productions Radiation Dosimetry I – Coherent scattering • Charged particle interactions – Stopping power and range Text: H.E Johns and J.R. Cunningham, The – Bremsstrahlung interaction th physics of radiology, 4 ed. – Bragg peak http://www.utoledo.edu/med/depts/radther Photon interactions Photoelectric effect • Collision between a photon and an • With energy deposition atom results in ejection of a bound – Photoelectric effect electron – Compton scattering • The photon disappears and is replaced by an electron ejected from the atom • No energy deposition in classical Thomson treatment with kinetic energy KE = hν − Eb – Pair production (above the threshold of 1.02 MeV) • Highest probability if the photon – Photo-nuclear interactions for higher energies energy is just above the binding energy (above 10 MeV) of the electron (absorption edge) • Additional energy may be deposited • Without energy deposition locally by Auger electrons and/or – Coherent scattering Photoelectric mass attenuation coefficients fluorescence photons of lead and soft tissue as a function of photon energy. K and L-absorption edges are shown for lead Thomson scattering Photoelectric effect (classical treatment) • Electron tends to be ejected • Elastic scattering of photon (EM wave) on free electron o at 90 for low energy • Electron is accelerated by EM wave and radiates a wave photons, and approaching • No -
Advanced Physics Laboratory
1 ADVANCED PHYSICS LABORATORY XRF X-Ray Fluorescence: Energy-Dispersive Technique (EDXRF) PART II Optional Experiments Author: Natalia Krasnopolskaia Last updated: N. Krasnopolskaia, January 2017 Spectrum of YBCO superconductor obtained by Oguzhan Can. SURF 2013 2 Contents Introduction ………………………………………………………………………………………3 Experiment 1. Quantitative elemental analysis of coins ……………..………………………….12 Experiment 2. Study of Si PIN detector in the x-ray fluorescence spectrometer ……………….16 Experiment 3. Secondary enhancement of x-ray fluorescence and matrix effects in alloys.……24 Experiment 4. Verification of stoichiometry formula for superconducting materials..………….29 3 INTRODUCTION In Part I of the experiment you got familiar with fundamental ideas about the origin of x-ray photons as a result of decelerating of electrons in an x-ray tube and photoelectric effect in atoms of the x-ray tube and a target. For practical purposes, the processes in the x-ray tube and in the sample of interest must be explained in detail. An X-ray photon from the x-ray tube incident on a target/sample can be either absorbed by the atoms of the target or scattered. The corresponding processes are: (a) photoelectric effect (absorption) that gives rise to characteristic spectrum emitted isotropically; (b) Compton effect (inelastic scattering; energy shifts toward the lower value); and (c) Rayleigh scattering (elastic scattering; energy of the photon stays unchanged). Each event of interaction between the incident particle and an atom or the other particle is characterized by its probability, which in spectroscopy is expressed through the cross section σ of the process. Actually, σ has a dimension of [L2] and in atomic and nuclear physics has a unit of barn: 1 barn = 10-24cm2. -
Gamma, X-Ray and Neutron Shielding Properties of Polymer Concretes
Indian Journal of Pure & Applied Physics Vol. 56, May 2018, pp. 383-391 Gamma, X-ray and neutron shielding properties of polymer concretes L Seenappaa,d, H C Manjunathaa*, K N Sridharb & Chikka Hanumantharayappac aDepartment of Physics, Government College for Women, Kolar 563 101, India bDepartment of Physics, Government First grade College, Kolar 563 101, India cDepartment of Physics, Vivekananda Degree College, Bangalore 560 055, India dResearch and Development Centre, Bharathiar University, Coimbatore 641 046, India Received 21 June 2017; accepted 3 November 2017 We have studied the X-ray and gamma radiation shielding parameters such as mass attenuation coefficient, linear attenuation coefficient, half value layer, tenth value layer, effective atomic numbers, electron density, exposure buildup factors, relative dose, dose rate and specific gamma ray constant in some polymer based concretes such as sulfur polymer concrete, barium polymer concrete, calcium polymer concrete, flourine polymer concrete, chlorine polymer concrete and germanium polymer concrete. The neutron shielding properties such as coherent neutron scattering length, incoherent neutron scattering lengths, coherent neutron scattering cross section, incoherent neutron scattering cross sections, total neutron scattering cross section and neutron absorption cross sections in the polymer concretes have been studied. The shielding properties among the studied different polymer concretes have been compared. From the detail study, it is clear that barium polymer concrete is good absorber for X-ray, gamma radiation and neutron. The attenuation parameters for neutron are large for chlorine polymer concrete. Hence, we suggest barium polymer concrete and chlorine polymer concrete are the best shielding materials for X-ray, gamma and neutrons. Keywords: X-ray, Gamma, Mass attenuation coefficient, Polymer concrete 1 Introduction Agosteo et al.11 studied the attenuation of Concrete is used for radiation shielding.