Statistical study of Gold Nanoparticles Produced by Laser Ablation in Water
|
|
- Edward Allen
- 5 years ago
- Views:
Transcription
1 Australia Joural of Basic ad Applied Scieces, 6(7): , 2012 ISSN Statistical study of Gold Naoparticles Produced by Laser Ablatio i Water Hassa Zare Asl ad Mia Eslamifar Physics Departmet, Behbaha Uiversity of Techology, Behabaha, Ira Abstract: Due to their small dimesios, aoparticles ad materials cosistig of ao-sized buildig blocks exhibit uique mostly superior properties, well differig from their bulk couterpart. Sice a effectig method to produce aoparticles is laser ablatio, a study was performed o the geeratio of particles durig laser ablatio with emphasis o size distributio measuremets. Experimetal productio of gold aoparticles upo the ablatio of metal targets i deioized water, caused by irradiatio with a Nd:YAG laser is studied. The aoparticles emergig i a liquid were ivestigated usig UV-visible absorptio spectroscopy, ad trasmissio electro microscopy. The result display effectiveess of laser ablatio i producig uiformly sized ad pure gold aoparticles. Also it was cofirmed that colloidal gold aoparticle solutios exhibit a distict Plasmo resoace at 530m respectively. Key words: Gold aoparticles, Laser ablatio, UV-visible, Trasmissio Electro Microscopy, Particle size distributio. INTRODUCTION Metal aoparticles, with diameters ragig roughly betwee 1 ad 100 aometers, are atural bridges betwee molecules ad exteded solids. They ope up a ew field i fudametal sciece ad because of their potetial techological applicatios. Due to the sigificat icrease i surface compared with volume, aoparticles show uique properties. The domiace of the surface behavior provides the possibility to cotrol most material properties without chage i chemical compositio such as: meltig poit, magetic properties ad eve color of materials. A few applicatios of aoparticles iclude: use as catalysts [Safavi et al., 2008], drug carriers [Yua et al., 2008] ad productio of aochips [Limo et al., 2009], aotubeds [Zhu et al., 2009] ad aowires [Su et al., 2007]. I all these cases i order to use aoparticles, cotrollig the size ad shape of aoparticles ad their purity is of utmost importace. Therefore special attetio should be paid to particle size distributio produced ad its purity. I recet years, metal aoparticles suspeded i a solutio to display differet optical, magetic, ad electroic properties from bulk materials, have attracted much attetio. The most commoly used methods to prepare metal aoparticles i solutio is the chemical reductio of metal ios [Chou ad Re, 2000]. I these chemical methods, the shape ad size of aoparticles produced caot be cotrolled. Also, due to the presece of chemicals, colloidal solutio of aoparticles produced is ot pure. I recet years a ew method for producig metal aoparticles i solutio has bee developed. I this method, a target immersed i a liquid is irradiated by a pulsed laser which i tur produces pure aoparticles i the solutio. To cotrol the aoparticles size, the first importat step is to acquire a greater uderstadig of the process of aoparticles geeratio ad evolutio durig laser ablatio. This paper aims to achieve such kowledge usig experimetal study o creatig gold aoparticles by laser ablatio. The results showed that usig such experimetal setup productio of gold aoparticles with regular spherical shape, well particle size distributio ad purity is possible. 2. Experimetal Setup: The experimetal apparatus used i this study is show i figure 1. The output of a Nd:YAG laser was used for ablatio. 1 gram gold bullio (Suisse Fie Gold 99.99%) immersed i 5ml deioized water, was irradiated with a focused 1064 m beam of a pulsed Nd:YAG laser with 5Hz repetitio. The spot size of the focused laser beam was 1.0mm. The laser pulse width was 30 s ad irradiatio was cotiued for 15 miutes with a eergy output of 50Mj per pulse. Durig the irradiatio, due to laser beam collisio with gold bullio, the material quickly plucked from the surface ad was throw ito the ambiet fluid. As a result of this process gold colloidal solutio was produced. Durig this process, clear water slowly was coverted to a purple color. Correspodig Author: Hassa Zare Asl, Physics Departmet, Behbaha Uiversity of Techology, Behabaha, Ira. addresses: HassaZareAsl@Gmail.com Tel: ; fax:
2 Fig. 1: Experimetal apparatus used for productio metal aoparticles by laser ablatio i liquid medium. 3. Results ad Commets: 3.1. Ultraviolet visible Spectrometry: Oe of the methods used for aoparticle characterizatio, especially i liquid medium is a UV-visible Spectrometry. I this study, i order to prepare UV-visible spectra from a gold colloidal solutio, Cary-100 spectrometer was used. The compariso betwee the absorptio spectrum of water ad gold colloidal solutio is show i figure 2. This spectrum shows a maximum at 530 m, which correspods to the surface plasmo absorptio that is uique for gold aoparticles. Maximum absorptio of gold aoparticles obtaied i this experimet, has a good agreemet with the maximums obtaied i other studies [Kazakevich et al., 2006, Dolgaev et al., 2002]. Fig. 2: (Series 1) Absorptio spectra of Au colloids obtaied by laser ablatio, (Series 2) Absorptio spectra of water. Light iteractio with the aoparticles strogly depeds o size, shape ad compositio of the aoparticles ad the eviromet cotais these particles. Solutio of the problem of absorptio ad scatterig of light by a small particle ivolves solvig Maxwell s equatios with the correct boudary coditios, ad also usig Mie theory ad assumig aoparticles are spherical, this solutio results i calculatig the locatio of the Plasmo peak. After these calculatios, the scatterig ad extictio cross sectios ca be calculated from: sca (2 1)( a ) 2 b k 1 (1) 2 ext Re( a ) 2 b k 1 (2) The coefficiets a ad b i Eq. (1) ad Eq. (2) are give by 294
3 a a m m m m (3) (4) I which ad are Ricatti-Bessel fuctios of order, the particle) ad m p m x kr is a size parameter (R is the radius of is the square root of the ratio of the dielectric fuctios of the particle ad of the medium. By replacig the values for gold aoparticle with a radius of 10 m ad parameters for water as the medium aoparticles exist i, gives the Plasmo peak of 530 m [Chhatre et al., 2012]. This shows good agreemet with values obtaied from the gold aoparticles produced i this experimet Trasmissio Electro Microscopy (TEM): Oe of the best methods for aoparticles characterizatio is usig a Trasmissio Electro Microscopy (TEM). The TEM images ivolve appropriate iformatio about the size ad shape of aoparticles [Müller et al., 2008]. Gold aoparticles images show i the figure 3 were prepared by a TEM model CM200 FEG ad Maufactured by Philips Compay. The microscope works i the voltage of 200kv. For preparig images of a colloidal solutio, Small amouts of colloidal solutio were poured o grade ad were dried i desiccators. The operatio was repeated several times (10 to 20 times) util sufficiet umbers of aoparticles were placed o the grid. Figure 3 shows images of gold aoparticles colloid i water, prepared by trasmissio electro microscopy 30 days after productio ad figure 4 also shows the particle size distributio curve of each image. I these images, the particles were measured by the Microstructure Measuremet software ad particle size distributio curves of aoparticles were plotted i Microsoft Excel. It should be oted that the particle size distributio curves were plotted after roudig the primary particle sizes. 295
4 Fig. 3: TEM images of Au aoparticles produced by laser ablatio i water. Fig. 4: The particle size distributio curve of Au aoparticles. Figure 5 shows the distributio of particle size related to 1529 gold aoparticles colloid i water that was studied usig the 30 TEM images. 296
5 Fig. 5: The distributio of particle size related to 1529 gold aoparticles colloid i water that was studied usig the 30 TEM images. 4. Coclusio: Experimetal productio of gold aoparticles usig laser ablatio i water medium was studied i this research. Notable features of gold aoparticles produced via this method are their regular spherical shape ad purity of the resultig colloidal solutio. Results show that most particles have a size rage from 0 to 15 m, with the average size equal to 9.49 m ad stadard deviatio is These values are idicative of very good size distributio. REFERENCES Chhatre, A., P. Solasa, S. Sakle, R. Thaokar, A. Mehra, Color ad surface plasmo effects i aoparticle systems: Case of silver aoparticles prepared by microemulsio route, Colloids ad Surfaces A: Physicochemical ad Egieerig Aspects, 404: DOI : /j.colsurfa Chou, K., C. Re, Sythesis of aosized silver particles by chemical reductio method, Materials Chemistry ad Physics, 64: DOI: /S (00) Dolgaev, S.I., A.V. Simaki, V.V. Voroov, Shafeev, Naoparticles product by laser ablatio of solid i liquid eviromet, Applied Surface Sciece, 186: DOI: /S (01) Kazakevich, P.V., A.V. Simaki, V.V. Voroov, G.A. Shafeev, Laser iduced sythesis of aoparticles i liquids, Applied Surface Sciece, 252: DOI: /j.apsusc Limo, O., L. Busiaro, A. Gerardio, L. Bitto, A. Frydma, Z. Zalevsky, Fabricatio of electro optical ao modulator o silico chip. Microelectroic Egieerig, 86: DOI: /j.mee Müller, S.A., U. Aebi, A. Egel, What trasmissio electro microscopes ca visualize ow ad i the future, Joural of Structural Biology, 163: DOI: /j.jsb Safavi, A., G. Absala, F. Bamdad, Effect of gold aoparticle as a ovel aocatalyst o lumiol hydrazie chemilumiescece system ad its aalytical applicatio. Aalytica Chimica Acta, 610: DOI: /j.aca Su, C., P. Che, S. Zhou, AgCl aoparticle aowires fabricated by template method, Materials Letters, 61: DOI: /j.matlet Yua, Q., R. Vekatasubramaia, S. Hei, R.D.K. Misra, A stimulus-resposive magetic aoparticle drug carrier: Magetite ecapsulated by chitosa-grafted-copolymer. Acta Biomaterialia, 4: DOI: /j.actbio Zhu, W., G. Wag, X. Hog, X. She, D. Li, X. Xie, Metal aoparticles chais embedded i TiO2 aotubes prepared by oe-step electrodepositio, Electrochimica Acta, 55: DOI: /j.electacta
A collocation method for singular integral equations with cosecant kernel via Semi-trigonometric interpolation
Iteratioal Joural of Mathematics Research. ISSN 0976-5840 Volume 9 Number 1 (017) pp. 45-51 Iteratioal Research Publicatio House http://www.irphouse.com A collocatio method for sigular itegral equatios
More informationa b c d e f g h Supplementary Information
Supplemetary Iformatio a b c d e f g h Supplemetary Figure S STM images show that Dark patters are frequetly preset ad ted to accumulate. (a) mv, pa, m ; (b) mv, pa, m ; (c) mv, pa, m ; (d) mv, pa, m ;
More informationSize, shape and temperature effect on nanomaterials
Idia Joural of Pure & Applied Physics Vol. 53, November 2015, pp. 768-775 Size, shape ad temperature effect o aomaterials G Sharma, S Bhatt, R Kumar & M Kumar* Departmet of Physics, G.B. Pat Uiversity
More informationStudy on Coal Consumption Curve Fitting of the Thermal Power Based on Genetic Algorithm
Joural of ad Eergy Egieerig, 05, 3, 43-437 Published Olie April 05 i SciRes. http://www.scirp.org/joural/jpee http://dx.doi.org/0.436/jpee.05.34058 Study o Coal Cosumptio Curve Fittig of the Thermal Based
More informationNumerical Conformal Mapping via a Fredholm Integral Equation using Fourier Method ABSTRACT INTRODUCTION
alaysia Joural of athematical Scieces 3(1): 83-93 (9) umerical Coformal appig via a Fredholm Itegral Equatio usig Fourier ethod 1 Ali Hassa ohamed urid ad Teh Yua Yig 1, Departmet of athematics, Faculty
More informationNumerical Simulation of Thermomechanical Problems in Applied Mechanics: Application to Solidification Problem
Leoardo Joural of Scieces ISSN 1583-0233 Issue 9, July-December 2006 p. 25-32 Numerical Simulatio of Thermomechaical Problems i Applied Mechaics: Applicatio to Solidificatio Problem Vicet Obiajulu OGWUAGWU
More informationOBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to:
OBJECTIVES Chapter 1 INTRODUCTION TO INSTRUMENTATION At the ed of this chapter, studets should be able to: 1. Explai the static ad dyamic characteristics of a istrumet. 2. Calculate ad aalyze the measuremet
More informationSILICA NANOPARTICLES PRODUCED BY THERMAL ARC PLASMA. MODELLING
Joural of Optoelectroics ad Advaced Materials Vol. 5, No. 3, September 003, p. 679-686 SILICA NANOPARTICLES PRODUCED BY THERMAL ARC PLASMA. MODELLING E. Balabaova * Istitute of Electroics, Bulgaria Academy
More informationNUMERICAL INVESTIGATION OF FEEDBACK CONTROL IN PLASMA PROCESSING REACTORS INTRODUCTION
NUMERICAL INVESTIGATION OF FEEDBACK CONTROL IN PLASMA PROCESSING REACTORS Shahid Rauf ad Mark J. Kusher Departmet of Electrical ad Computer Egieerig Uiversity of Illiois 1406 W. Gree Street, Urbaa, Illiois
More informationMeasurement uncertainty of the sound absorption
Measuremet ucertaity of the soud absorptio coefficiet Aa Izewska Buildig Research Istitute, Filtrowa Str., 00-6 Warsaw, Polad a.izewska@itb.pl 6887 The stadard ISO/IEC 705:005 o the competece of testig
More informationProbability, Expectation Value and Uncertainty
Chapter 1 Probability, Expectatio Value ad Ucertaity We have see that the physically observable properties of a quatum system are represeted by Hermitea operators (also referred to as observables ) such
More informationl -State Solutions of a New Four-Parameter 1/r^2 Singular Radial Non-Conventional Potential via Asymptotic Iteration Method
America Joural of Computatioal ad Applied Mathematics 8, 8(): 7-3 DOI:.593/j.ajcam.88. l -State Solutios of a New Four-Parameter /r^ Sigular Radial No-Covetioal Potetial via Asymptotic Iteratio Method
More informationABSTRACT 1. INTRODUCTION
Iwamura, Y., T. Itoh, ad M. SakaNo. Nuclear Products ad Their Time Depedece Iduced by Cotiuous Diffusio of Deuterium Through Multi-layer Palladium Cotaiig Low Work Fuctio Material. i 8th Iteratioal Coferece
More informationTEACHER CERTIFICATION STUDY GUIDE
COMPETENCY 1. ALGEBRA SKILL 1.1 1.1a. ALGEBRAIC STRUCTURES Kow why the real ad complex umbers are each a field, ad that particular rigs are ot fields (e.g., itegers, polyomial rigs, matrix rigs) Algebra
More informationTo the use of Sellmeier formula
To the use of Sellmeier formula by Volkmar Brücker Seior Experte Service (SES) Bo ad HfT Leipzig, Germay Abstract Based o dispersio of pure silica we proposed a geeral Sellmeier formula for various dopats
More information62. Power series Definition 16. (Power series) Given a sequence {c n }, the series. c n x n = c 0 + c 1 x + c 2 x 2 + c 3 x 3 +
62. Power series Defiitio 16. (Power series) Give a sequece {c }, the series c x = c 0 + c 1 x + c 2 x 2 + c 3 x 3 + is called a power series i the variable x. The umbers c are called the coefficiets of
More informationIf, for instance, we were required to test whether the population mean μ could be equal to a certain value μ
STATISTICAL INFERENCE INTRODUCTION Statistical iferece is that brach of Statistics i which oe typically makes a statemet about a populatio based upo the results of a sample. I oesample testig, we essetially
More informationA NEW CLASS OF 2-STEP RATIONAL MULTISTEP METHODS
Jural Karya Asli Loreka Ahli Matematik Vol. No. (010) page 6-9. Jural Karya Asli Loreka Ahli Matematik A NEW CLASS OF -STEP RATIONAL MULTISTEP METHODS 1 Nazeeruddi Yaacob Teh Yua Yig Norma Alias 1 Departmet
More informationSupporting information to. and Ruben Kretzschmar. Institute of Isotope Geochemistry and Mineral Resources, ETH Zurich, NO, 8092 Zürich, Switzerland
Supportig iformatio to Iro isotope fractioatio durig proto-promoted, ligad-cotrolled, ad reductive dissolutio of goethite Ja G. Wiederhold*., Stepha M. Kraemer, Nadya Teutsch, Paul M. Borer, Alex N. Halliday,
More informationA numerical Technique Finite Volume Method for Solving Diffusion 2D Problem
The Iteratioal Joural Of Egieerig d Sciece (IJES) Volume 4 Issue 10 Pages PP -35-41 2015 ISSN (e): 2319 1813 ISSN (p): 2319 1805 umerical Techique Fiite Volume Method for Solvig Diffusio 2D Problem 1 Mohammed
More informationComparison Study of Series Approximation. and Convergence between Chebyshev. and Legendre Series
Applied Mathematical Scieces, Vol. 7, 03, o. 6, 3-337 HIKARI Ltd, www.m-hikari.com http://d.doi.org/0.988/ams.03.3430 Compariso Study of Series Approimatio ad Covergece betwee Chebyshev ad Legedre Series
More informationt distribution [34] : used to test a mean against an hypothesized value (H 0 : µ = µ 0 ) or the difference
EXST30 Backgroud material Page From the textbook The Statistical Sleuth Mea [0]: I your text the word mea deotes a populatio mea (µ) while the work average deotes a sample average ( ). Variace [0]: The
More informationNUCLEATION 7.1 INTRODUCTION 7.2 HOMOGENEOUS NUCLEATION Embryos and nuclei CHAPTER 7
CHAPER 7 NUCLEAION 7.1 INRODUCION I this text, we focus our attetio o crystallie solids that form from the melt. he process begis with the creatio of a cluster of atoms of crystallie structure, which may
More informationExact Solutions for a Class of Nonlinear Singular Two-Point Boundary Value Problems: The Decomposition Method
Exact Solutios for a Class of Noliear Sigular Two-Poit Boudary Value Problems: The Decompositio Method Abd Elhalim Ebaid Departmet of Mathematics, Faculty of Sciece, Tabuk Uiversity, P O Box 741, Tabuki
More informationExact Solutions of the Generalized Benjamin Equation and (3 + 1)- Dimensional Gkp Equation by the Extended Tanh Method
Available at http://pvamuedu/aam Appl Appl Math ISSN: 93-9466 Vol 7, Issue (Jue 0), pp 75 87 Applicatios ad Applied Mathematics: A Iteratioal Joural (AAM) Exact Solutios of the Geeralized Bejami Equatio
More informationSTUDY OF ATTRACTOR VARIATION IN THE RECONSTRUCTED PHASE SPACE OF SPEECH SIGNALS
STUDY OF ATTRACTOR VARIATION IN THE RECONSTRUCTED PHASE SPACE OF SPEECH SIGNALS Jiji Ye Departmet of Electrical ad Computer Egieerig Milwaukee, WI USA jiji.ye@mu.edu Michael T. Johso Departmet of Electrical
More information577. Estimation of surface roughness using high frequency vibrations
577. Estimatio of surface roughess usig high frequecy vibratios V. Augutis, M. Sauoris, Kauas Uiversity of Techology Electroics ad Measuremets Systems Departmet Studetu str. 5-443, LT-5368 Kauas, Lithuaia
More informationTrue Nature of Potential Energy of a Hydrogen Atom
True Nature of Potetial Eergy of a Hydroge Atom Koshu Suto Key words: Bohr Radius, Potetial Eergy, Rest Mass Eergy, Classical Electro Radius PACS codes: 365Sq, 365-w, 33+p Abstract I cosiderig the potetial
More informationSession 5. (1) Principal component analysis and Karhunen-Loève transformation
200 Autum semester Patter Iformatio Processig Topic 2 Image compressio by orthogoal trasformatio Sessio 5 () Pricipal compoet aalysis ad Karhue-Loève trasformatio Topic 2 of this course explais the image
More informationANALYSIS OF EXPERIMENTAL ERRORS
ANALYSIS OF EXPERIMENTAL ERRORS All physical measuremets ecoutered i the verificatio of physics theories ad cocepts are subject to ucertaities that deped o the measurig istrumets used ad the coditios uder
More informationFree Space Optical Wireless Communications under Turbulence Channel Effect
IOSR Joural of Electroics ad Commuicatio Egieerig (IOSR-JECE) e-issn: 78-834,p- ISSN: 78-8735.Volume 9, Issue 3, Ver. III (May - Ju. 014), PP 01-08 Free Space Optical Wireless Commuicatios uder Turbulece
More informationNew Correlation for Calculating Critical Pressure of Petroleum Fractions
IARJSET ISSN (Olie) 2393-8021 ISSN (Prit) 2394-1588 Iteratioal Advaced Research Joural i Sciece, Egieerig ad Techology New Correlatio for Calculatig Critical Pressure of Petroleum Fractios Sayed Gomaa,
More informationNernst Equation. Nernst Equation. Electric Work and Gibb's Free Energy. Skills to develop. Electric Work. Gibb's Free Energy
Nerst Equatio Skills to develop Eplai ad distiguish the cell potetial ad stadard cell potetial. Calculate cell potetials from kow coditios (Nerst Equatio). Calculate the equilibrium costat from cell potetials.
More informationRecent Experimental Results in ADITYA Tokamak
Recet Experimetal Results i ADITYA Tokamak R. Jha ad the ADITYA Team Istitute for Plasma Research, Bhat, Gadhiagar-382 428, INDIA e-mail:rjha@ipr.res.i Abstract. Recet studies o measuremets of edge turbulece
More informationInverse Nodal Problems for Differential Equation on the Half-line
Australia Joural of Basic ad Applied Scieces, 3(4): 4498-4502, 2009 ISSN 1991-8178 Iverse Nodal Problems for Differetial Equatio o the Half-lie 1 2 3 A. Dabbaghia, A. Nematy ad Sh. Akbarpoor 1 Islamic
More informationOn a Smarandache problem concerning the prime gaps
O a Smaradache problem cocerig the prime gaps Felice Russo Via A. Ifate 7 6705 Avezzao (Aq) Italy felice.russo@katamail.com Abstract I this paper, a problem posed i [] by Smaradache cocerig the prime gaps
More informationStability Evaluation of Surfactant-Grafted Polyacrylamide Used in Oilfields by Evolution of Ammonia
Joural of Materials Sciece ad hemical Egieerig, 1,, 15-19 Published lie May 1 i SciRes. http://www.scirp.org/joural/msce http://dx.doi.org/1.3/msce.1.53 Stability Evaluatio of Surfactat-Grafted Polyacrylamide
More informationA CONFINEMENT MODEL OF HIGH STRENGTH CONCRETE
3 th World Coferece o Earthquake Egieerig Vacouver, B.C., Caada August -6, 24 Paper No. 873 A CONFINEMENT MODEL OF HIGH STRENGTH CONCRETE Nobutaka NAKAZAWA, Kazuhiko KAWASHIMA 2, Gakuho WATANABE 3, Ju-ichi
More informationSensitivity Analysis of Daubechies 4 Wavelet Coefficients for Reduction of Reconstructed Image Error
Proceedigs of the 6th WSEAS Iteratioal Coferece o SIGNAL PROCESSING, Dallas, Texas, USA, March -4, 7 67 Sesitivity Aalysis of Daubechies 4 Wavelet Coefficiets for Reductio of Recostructed Image Error DEVINDER
More informationDETERMINATION OF MECHANICAL PROPERTIES OF A NON- UNIFORM BEAM USING THE MEASUREMENT OF THE EXCITED LONGITUDINAL ELASTIC VIBRATIONS.
ICSV4 Cairs Australia 9- July 7 DTRMINATION OF MCHANICAL PROPRTIS OF A NON- UNIFORM BAM USING TH MASURMNT OF TH XCITD LONGITUDINAL LASTIC VIBRATIONS Pavel Aokhi ad Vladimir Gordo Departmet of the mathematics
More informationNumerical Solutions of Second Order Boundary Value Problems by Galerkin Residual Method on Using Legendre Polynomials
IOSR Joural of Mathematics (IOSR-JM) e-issn: 78-578, p-issn: 319-765X. Volume 11, Issue 6 Ver. IV (Nov. - Dec. 15), PP 1-11 www.iosrjourals.org Numerical Solutios of Secod Order Boudary Value Problems
More informationCHAPTER 10 INFINITE SEQUENCES AND SERIES
CHAPTER 10 INFINITE SEQUENCES AND SERIES 10.1 Sequeces 10.2 Ifiite Series 10.3 The Itegral Tests 10.4 Compariso Tests 10.5 The Ratio ad Root Tests 10.6 Alteratig Series: Absolute ad Coditioal Covergece
More informationGUIDELINES ON REPRESENTATIVE SAMPLING
DRUGS WORKING GROUP VALIDATION OF THE GUIDELINES ON REPRESENTATIVE SAMPLING DOCUMENT TYPE : REF. CODE: ISSUE NO: ISSUE DATE: VALIDATION REPORT DWG-SGL-001 002 08 DECEMBER 2012 Ref code: DWG-SGL-001 Issue
More informationU8L1: Sec Equations of Lines in R 2
MCVU Thursda Ma, Review of Equatios of a Straight Lie (-D) U8L Sec. 8.9. Equatios of Lies i R Cosider the lie passig through A (-,) with slope, as show i the diagram below. I poit slope form, the equatio
More informationLecture 6. Semiconductor physics IV. The Semiconductor in Equilibrium
Lecture 6 Semicoductor physics IV The Semicoductor i Equilibrium Equilibrium, or thermal equilibrium No exteral forces such as voltages, electric fields. Magetic fields, or temperature gradiets are actig
More informationPhysics Methods in Art and Archaeology
Physics Methods i Art ad Archaeology Michael Wiescher PHYS 78 Archaeologist i the 90ties Somewhere i South America 80 years later --- i the Valley of the Kigs, gypt Physics Tools & Techology Dager & Adveture
More informationUniversity of California, Los Angeles Department of Statistics. Hypothesis testing
Uiversity of Califoria, Los Ageles Departmet of Statistics Statistics 100B Elemets of a hypothesis test: Hypothesis testig Istructor: Nicolas Christou 1. Null hypothesis, H 0 (claim about µ, p, σ 2, µ
More informationAccuracy of TEXTOR He-beam diagnostics
Accuracy of TEXTOR He-beam diagostics O. Schmitz, I.L.Beigma *, L.A. Vaishtei *, A. Pospieszczyk, B. Schweer, M. Krychoviak, U. Samm ad the TEXTOR team Forschugszetrum Jülich,, Jülich, Germay *Lebedev
More informationEffect of Temperature Variations on Strain Response of Polymer Bragg Grating Optical Fibers
Iraq J. Electrical ad Electroic Egieerig Vol.13 No.1, 17 مجلد 13 العدد 17 1 Effect of Temperature Variatios o Strai Respose of Polymer Bragg Gratig Optical Fibers Hisham K. Hisham Electrical Egieerig Departmet,
More informationModification of Arrhenius Model for Numerical Modelling of Turbulent Flames
J. Basic. Appl. Sci. Res., (5)480-486, 01 01, TextRoad Publicatio ISSN 090-4304 Joural of Basic ad Applied Scietific Research www.textroad.com Modificatio of Arrheius Model for Numerical Modellig of Turbulet
More informationUniversity of Washington Department of Chemistry Chemistry 453 Winter Quarter 2015
Uiversity of Wasigto Departmet of Cemistry Cemistry 453 Witer Quarter 15 Lecture 14. /11/15 Recommeded Text Readig: Atkis DePaula: 9.1, 9., 9.3 A. Te Equipartitio Priciple & Eergy Quatizatio Te Equipartio
More informationTaylor polynomial solution of difference equation with constant coefficients via time scales calculus
TMSCI 3, o 3, 129-135 (2015) 129 ew Treds i Mathematical Scieces http://wwwtmscicom Taylor polyomial solutio of differece equatio with costat coefficiets via time scales calculus Veysel Fuat Hatipoglu
More informationEECS564 Estimation, Filtering, and Detection Hwk 2 Solns. Winter p θ (z) = (2θz + 1 θ), 0 z 1
EECS564 Estimatio, Filterig, ad Detectio Hwk 2 Sols. Witer 25 4. Let Z be a sigle observatio havig desity fuctio where. p (z) = (2z + ), z (a) Assumig that is a oradom parameter, fid ad plot the maximum
More informationPositron annihilation on atomic core electrons + positive ions
ositro aihilatio o atomic core electros positive ios Dermot Gree ad Gleb Gribaki Departmet of Applied Mathematics ad Theoretical hysics, Quee s Uiversity Belfast, Norther Irelad, UK Motivatio ositro aihilatio
More informationTime-Domain Representations of LTI Systems
2.1 Itroductio Objectives: 1. Impulse resposes of LTI systems 2. Liear costat-coefficiets differetial or differece equatios of LTI systems 3. Bloc diagram represetatios of LTI systems 4. State-variable
More informationUsing An Accelerating Method With The Trapezoidal And Mid-Point Rules To Evaluate The Double Integrals With Continuous Integrands Numerically
ISSN -50 (Paper) ISSN 5-05 (Olie) Vol.7, No., 017 Usig A Acceleratig Method With The Trapezoidal Ad Mid-Poit Rules To Evaluate The Double Itegrals With Cotiuous Itegrads Numerically Azal Taha Abdul Wahab
More informationENGI 4421 Probability and Statistics Faculty of Engineering and Applied Science Problem Set 1 Solutions Descriptive Statistics. None at all!
ENGI 44 Probability ad Statistics Faculty of Egieerig ad Applied Sciece Problem Set Solutios Descriptive Statistics. If, i the set of values {,, 3, 4, 5, 6, 7 } a error causes the value 5 to be replaced
More informationAssessment of extreme discharges of the Vltava River in Prague
Flood Recovery, Iovatio ad Respose I 05 Assessmet of extreme discharges of the Vltava River i Prague M. Holický, K. Jug & M. Sýkora Kloker Istitute, Czech Techical Uiversity i Prague, Czech Republic Abstract
More informationMicroscopic traffic flow modeling
Chapter 34 Microscopic traffic flow modelig 34.1 Overview Macroscopic modelig looks at traffic flow from a global perspective, whereas microscopic modelig, as the term suggests, gives attetio to the details
More informationAvailable online at ScienceDirect. Physics Procedia 57 (2014 ) 48 52
Available olie at www.sciecedirect.com ScieceDirect Physics Procedia 57 (214 ) 48 52 27th Aual CSP Workshops o Recet Developmets i Computer Simulatio Studies i Codesed Matter Physics, CSP 214 Applicatio
More informationMETHOD OF FUNDAMENTAL SOLUTIONS FOR HELMHOLTZ EIGENVALUE PROBLEMS IN ELLIPTICAL DOMAINS
Please cite this article as: Staisław Kula, Method of fudametal solutios for Helmholtz eigevalue problems i elliptical domais, Scietific Research of the Istitute of Mathematics ad Computer Sciece, 009,
More informationTHE NUMERICAL SOLUTION OF THE NEWTONIAN FLUIDS FLOW DUE TO A STRETCHING CYLINDER BY SOR ITERATIVE PROCEDURE ABSTRACT
Europea Joural of Egieerig ad Techology Vol. 3 No., 5 ISSN 56-586 THE NUMERICAL SOLUTION OF THE NEWTONIAN FLUIDS FLOW DUE TO A STRETCHING CYLINDER BY SOR ITERATIVE PROCEDURE Atif Nazir, Tahir Mahmood ad
More informationPower and Type II Error
Statistical Methods I (EXST 7005) Page 57 Power ad Type II Error Sice we do't actually kow the value of the true mea (or we would't be hypothesizig somethig else), we caot kow i practice the type II error
More information17 Phonons and conduction electrons in solids (Hiroshi Matsuoka)
7 Phoos ad coductio electros i solids Hiroshi Matsuoa I this chapter we will discuss a miimal microscopic model for phoos i a solid ad a miimal microscopic model for coductio electros i a simple metal.
More informationChandrasekhar Type Algorithms. for the Riccati Equation of Lainiotis Filter
Cotemporary Egieerig Scieces, Vol. 3, 00, o. 4, 9-00 Chadrasekhar ype Algorithms for the Riccati Equatio of Laiiotis Filter Nicholas Assimakis Departmet of Electroics echological Educatioal Istitute of
More informationWarped, Chirp Z-Transform: Radar Signal Processing
arped, Chirp Z-Trasform: Radar Sigal Processig by Garimella Ramamurthy Report o: IIIT/TR// Cetre for Commuicatios Iteratioal Istitute of Iformatio Techology Hyderabad - 5 3, IDIA Jauary ARPED, CHIRP Z
More informationSolution of Differential Equation from the Transform Technique
Iteratioal Joural of Computatioal Sciece ad Mathematics ISSN 0974-3189 Volume 3, Number 1 (2011), pp 121-125 Iteratioal Research Publicatio House http://wwwirphousecom Solutio of Differetial Equatio from
More informationAN OPEN-PLUS-CLOSED-LOOP APPROACH TO SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC MAPS
http://www.paper.edu.c Iteratioal Joural of Bifurcatio ad Chaos, Vol. 1, No. 5 () 119 15 c World Scietific Publishig Compay AN OPEN-PLUS-CLOSED-LOOP APPROACH TO SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC
More informationTeaching Mathematics Concepts via Computer Algebra Systems
Iteratioal Joural of Mathematics ad Statistics Ivetio (IJMSI) E-ISSN: 4767 P-ISSN: - 4759 Volume 4 Issue 7 September. 6 PP-- Teachig Mathematics Cocepts via Computer Algebra Systems Osama Ajami Rashaw,
More informationAnalysis of composites with multiple rigid-line reinforcements by the BEM
Aalysis of composites with multiple rigid-lie reiforcemets by the BEM Piotr Fedeliski* Departmet of Stregth of Materials ad Computatioal Mechaics, Silesia Uiversity of Techology ul. Koarskiego 18A, 44-100
More informationLecture III-2: Light propagation in nonmagnetic
A. La Rosa Lecture Notes ALIED OTIC Lecture III2: Light propagatio i omagetic materials 2.1 urface ( ), volume ( ), ad curret ( j ) desities produced by arizatio charges The objective i this sectio is
More informationIJITE Vol.2 Issue-11, (November 2014) ISSN: Impact Factor
IJITE Vol Issue-, (November 4) ISSN: 3-776 ATTRACTIVITY OF A HIGHER ORDER NONLINEAR DIFFERENCE EQUATION Guagfeg Liu School of Zhagjiagag Jiagsu Uiversit of Sciece ad Techolog, Zhagjiagag, Jiagsu 56,PR
More informationScheduling under Uncertainty using MILP Sensitivity Analysis
Schedulig uder Ucertaity usig MILP Sesitivity Aalysis M. Ierapetritou ad Zheya Jia Departmet of Chemical & Biochemical Egieerig Rutgers, the State Uiversity of New Jersey Piscataway, NJ Abstract The aim
More informationREGRESSION (Physics 1210 Notes, Partial Modified Appendix A)
REGRESSION (Physics 0 Notes, Partial Modified Appedix A) HOW TO PERFORM A LINEAR REGRESSION Cosider the followig data poits ad their graph (Table I ad Figure ): X Y 0 3 5 3 7 4 9 5 Table : Example Data
More informationTHE POTENTIALS METHOD FOR A CLOSED QUEUEING SYSTEM WITH HYSTERETIC STRATEGY OF THE SERVICE TIME CHANGE
Joural of Applied Mathematics ad Computatioal Mechaics 5, 4(), 3-43 www.amcm.pcz.pl p-issn 99-9965 DOI:.75/amcm.5..4 e-issn 353-588 THE POTENTIALS METHOD FOR A CLOSED QUEUEING SYSTEM WITH HYSTERETIC STRATEGY
More informationQuantum Simulation: Solving Schrödinger Equation on a Quantum Computer
Purdue Uiversity Purdue e-pubs Birc Poster Sessios Birc Naotechology Ceter 4-14-008 Quatum Simulatio: Solvig Schrödiger Equatio o a Quatum Computer Hefeg Wag Purdue Uiversity, wag10@purdue.edu Sabre Kais
More informationJ. Serb. Chem. Soc. 82 (4) S208 S220 (2017) Supplementary material
J. Serb. Chem. Soc. 82 (4) S8 S2 (7) Supplemetary material SUPPLEMENARY MAERIAL O Experimetal measuremets ad modellig of solvet activity ad surface tesio of biary mixtures of poly(viyl pyrrolidoe) i water
More informationRAINFALL PREDICTION BY WAVELET DECOMPOSITION
RAIFALL PREDICTIO BY WAVELET DECOMPOSITIO A. W. JAYAWARDEA Departmet of Civil Egieerig, The Uiversit of Hog Kog, Hog Kog, Chia P. C. XU Academ of Mathematics ad Sstem Scieces, Chiese Academ of Scieces,
More informationMechatronics. Time Response & Frequency Response 2 nd -Order Dynamic System 2-Pole, Low-Pass, Active Filter
Time Respose & Frequecy Respose d -Order Dyamic System -Pole, Low-Pass, Active Filter R 4 R 7 C 5 e i R 1 C R 3 - + R 6 - + e out Assigmet: Perform a Complete Dyamic System Ivestigatio of the Two-Pole,
More informationA statistical method to determine sample size to estimate characteristic value of soil parameters
A statistical method to determie sample size to estimate characteristic value of soil parameters Y. Hojo, B. Setiawa 2 ad M. Suzuki 3 Abstract Sample size is a importat factor to be cosidered i determiig
More informationSimilarity Solutions to Unsteady Pseudoplastic. Flow Near a Moving Wall
Iteratioal Mathematical Forum, Vol. 9, 04, o. 3, 465-475 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/0.988/imf.04.48 Similarity Solutios to Usteady Pseudoplastic Flow Near a Movig Wall W. Robi Egieerig
More informationNew Version of the Rayleigh Schrödinger Perturbation Theory: Examples
New Versio of the Rayleigh Schrödiger Perturbatio Theory: Examples MILOŠ KALHOUS, 1 L. SKÁLA, 1 J. ZAMASTIL, 1 J. ČÍŽEK 2 1 Charles Uiversity, Faculty of Mathematics Physics, Ke Karlovu 3, 12116 Prague
More informationChapter 8: Estimating with Confidence
Chapter 8: Estimatig with Cofidece Sectio 8.2 The Practice of Statistics, 4 th editio For AP* STARNES, YATES, MOORE Chapter 8 Estimatig with Cofidece 8.1 Cofidece Itervals: The Basics 8.2 8.3 Estimatig
More informationMECHANICAL INTEGRITY DESIGN FOR FLARE SYSTEM ON FLOW INDUCED VIBRATION
MECHANICAL INTEGRITY DESIGN FOR FLARE SYSTEM ON FLOW INDUCED VIBRATION Hisao Izuchi, Pricipal Egieerig Cosultat, Egieerig Solutio Uit, ChAS Project Operatios Masato Nishiguchi, Egieerig Solutio Uit, ChAS
More informationHydrogen (atoms, molecules) in external fields. Static electric and magnetic fields Oscyllating electromagnetic fields
Hydroge (atoms, molecules) i exteral fields Static electric ad magetic fields Oscyllatig electromagetic fields Everythig said up to ow has to be modified more or less strogly if we cosider atoms (ad ios)
More informationWORKING WITH NUMBERS
1 WORKING WITH NUMBERS WHAT YOU NEED TO KNOW The defiitio of the differet umber sets: is the set of atural umbers {0, 1,, 3, }. is the set of itegers {, 3,, 1, 0, 1,, 3, }; + is the set of positive itegers;
More informationULTRA-THICK CROSS SECTION FIBER REINFORCED COMPOSITES
F98-D4 Page ULTRA-THICK CROSS SECTION FIBER REINFORCED COMPOSITES Project Code: F98-D4 Ivestigators: Yog K. Kim, Leader, Armad F. Lewis, Alex Fowler, UMass Dartmouth Graduate Studet: Joatha Reuss PROJECT
More informationAN INTERIM REPORT ON SOFT SYSTEMS EVALUATION
AN INTERIM REPORT ON SOFT SYSTEMS EVALUATION Viljem Rupik INTERACTA, LTD, Busiess Iformatio Processig Parmova 53, Ljubljaa 386 01 4291809, e-mail: Viljem.Rupik@siol.et Abstract: As applicatio areas rapidly
More informationAccess to the published version may require journal subscription. Published with permission from: Elsevier.
This is a author produced versio of a paper published i Statistics ad Probability Letters. This paper has bee peer-reviewed, it does ot iclude the joural pagiatio. Citatio for the published paper: Forkma,
More informationComparison of Methods for Estimation of Sample Sizes under the Weibull Distribution
Iteratioal Joural of Applied Egieerig Research ISSN 0973-4562 Volume 12, Number 24 (2017) pp. 14273-14278 Research Idia Publicatios. http://www.ripublicatio.com Compariso of Methods for Estimatio of Sample
More informationNUMERICAL METHODS FOR SOLVING EQUATIONS
Mathematics Revisio Guides Numerical Methods for Solvig Equatios Page 1 of 11 M.K. HOME TUITION Mathematics Revisio Guides Level: GCSE Higher Tier NUMERICAL METHODS FOR SOLVING EQUATIONS Versio:. Date:
More informationFinal Examination Solutions 17/6/2010
The Islamic Uiversity of Gaza Faculty of Commerce epartmet of Ecoomics ad Political Scieces A Itroductio to Statistics Course (ECOE 30) Sprig Semester 009-00 Fial Eamiatio Solutios 7/6/00 Name: I: Istructor:
More informationModified Decomposition Method by Adomian and. Rach for Solving Nonlinear Volterra Integro- Differential Equations
Noliear Aalysis ad Differetial Equatios, Vol. 5, 27, o. 4, 57-7 HIKARI Ltd, www.m-hikari.com https://doi.org/.2988/ade.27.62 Modified Decompositio Method by Adomia ad Rach for Solvig Noliear Volterra Itegro-
More informationROLL CUTTING PROBLEMS UNDER STOCHASTIC DEMAND
Pacific-Asia Joural of Mathematics, Volume 5, No., Jauary-Jue 20 ROLL CUTTING PROBLEMS UNDER STOCHASTIC DEMAND SHAKEEL JAVAID, Z. H. BAKHSHI & M. M. KHALID ABSTRACT: I this paper, the roll cuttig problem
More informationMonte Carlo Optimization to Solve a Two-Dimensional Inverse Heat Conduction Problem
Australia Joural of Basic Applied Scieces, 5(): 097-05, 0 ISSN 99-878 Mote Carlo Optimizatio to Solve a Two-Dimesioal Iverse Heat Coductio Problem M Ebrahimi Departmet of Mathematics, Karaj Brach, Islamic
More informationwavelet collocation method for solving integro-differential equation.
IOSR Joural of Egieerig (IOSRJEN) ISSN (e): 5-3, ISSN (p): 78-879 Vol. 5, Issue 3 (arch. 5), V3 PP -7 www.iosrje.org wavelet collocatio method for solvig itegro-differetial equatio. Asmaa Abdalelah Abdalrehma
More informationSalmon: Lectures on partial differential equations. 3. First-order linear equations as the limiting case of second-order equations
3. First-order liear equatios as the limitig case of secod-order equatios We cosider the advectio-diffusio equatio (1) v = 2 o a bouded domai, with boudary coditios of prescribed. The coefficiets ( ) (2)
More informationData Analysis and Statistical Methods Statistics 651
Data Aalysis ad Statistical Methods Statistics 651 http://www.stat.tamu.edu/~suhasii/teachig.html Suhasii Subba Rao Review of testig: Example The admistrator of a ursig home wats to do a time ad motio
More informationFinite-Difference Time-Domain Simulation of Light Propagation in 2D Periodic and Quasi-Periodic Photonic Structures
JNS 3 (213) 359-364 Fiite-Differece Time-Domai Simulatio of Light Propagatio i 2D Periodic ad Quasi-Periodic Photoic Structures N. Dadashadeh a,b*, O.G. Romaov b a Islamic Aad Uiversity of Hadishahr, Hadishahr,
More informationControl Charts for Mean for Non-Normally Correlated Data
Joural of Moder Applied Statistical Methods Volume 16 Issue 1 Article 5 5-1-017 Cotrol Charts for Mea for No-Normally Correlated Data J. R. Sigh Vikram Uiversity, Ujjai, Idia Ab Latif Dar School of Studies
More information