Effects of Electron Model on Three-Grid Ion Engine Analyses
|
|
- Gregory Ellis
- 5 years ago
- Views:
Transcription
1 Effcts of Elctron Modl on Thr-Grid Ion Engin Analyss IEPC Prsntd at th 32nd Intrnational Elctric Propulsion Confrnc, Wisbadn Grmany Takshi Miyasaka 1 and Katsuo Asato 2 Gifu Univrsity, Gifu, , Japan Fakhuradzi B. Baharudin 3 Gifu Univrsity, Gifu, , Japan Hitoshi Sugiyama 4 Gifu Univrsity, Gifu, , Japan and Ikkoh Funaki 5 JAXA, Sagamihara, Kanagawa, , Japan Abstract: To invstigat th ffcts of th lctron modl in ion ngin analysis, w carrid out thr-dimnsional particl simulations using th full-pic and hybrid PIC cods. Comparison of th rsults obtaind using th two cods nabld us to undrstand th influnc of th Boltzmann rlation on th lctric potntial distribution. Th rsults rval that th numbr dnsity of nutralizing lctrons in th vicinity of th cntrlin of th hol downstram of a dcl grid obtaind using th hybrid-pic cod is highr than that obtaind using th full-pic cod. Th high numbr dnsity of lctrons in this rgion dcrass th lctric potntial. k m i m n i n T w 0 = lmntary lctric charg = Boltzmann constant = ion mass = lctron mass = ion numbr dnsity = lctron numbr dnsity = lctron tmpratur = axial vlocity = lctric potntial = prmittivity of fr spac Nomnclatur 1 Associat profssor, Dpartmnt of Human and Information Systms, miyasaka@gifu-u.ac.jp. 2 Profssor, Dpartmnt of Human and Information Systms, asato@gifu-u.ac.jp. 3 Graduat studnt, Dpartmnt of Human and Information Systms, p @du.gifu-u.ac.jp. 4 Graduat studnt, Dpartmnt of Human and Information Systms, q @du.gifu-u.ac.jp. 5 Associat profssor, ISAS, funaki@isas.jaxa.jp. 1
2 I. Introduction Ion ngins ar promising for us as spac propulsion systms, and numrous xprimntal and numrical studis on ion ngins hav bn carrid out. Th 10 ngin was usd as th main ngin of th astroid prob Hayabusa. 1 Owing to thir high spcific impuls, ion ngins ar xpctd to b usd in long-trm mission satllits and probs. It is important to valuat th ngin liftim for such long-trm missions. Howvr, ral-tim valuation bcoms incrasingly difficult with incrasing opration tim. Thrfor, mthods for numrically prdicting th liftim ar rquird. In prvious numrical analyss of ion ngins, 3-7 various typs of modls hav bn mployd and th ion ngin prformanc was prdictd wll. To us numrical analysis as a tool for valuating th ngin liftim, a cod that prdicts grid rosion quantitativly is rquird. 2 Grid rosion is causd by th impact of "collidd ions" producd by collisions btwn nutrals and th constitutiv part of th ion bam. Figur 1 shows a schmatic of th impact of collidd ions on th accl and dcl grids. Th tracking of ion motion and collisions nabls us to stimat th rat of grid rosion (s Fig. 2). Howvr, th calculation tim bcoms hug bcaus thr-dimnsional analysis is rquird. In most cods, th lctron numbr dnsity is stimatd from th Boltzmann rlation. Bcaus th Boltzmann rlation is indpndnt of th tim stp, which is dtrmind by th charactristic spd of lctrons, much highr than that of ions, th calculation cost is rducd. Thus, th Boltzmann rlation is appropriat for thr-dimnsional analysis. Howvr, th Boltzmann rlation is a modl for th lctron numbr dnsity distribution. Thus, th validity of th modl should b confirmd bfor th quantitativ valuation of grid rosion. To invstigat th applicability of th Boltzmann rlation to th valuations of grid rosion, w hav bn prforming particl analyss on ion ngins using full particl in cll (full-pic) mthod, 8 in which ions and lctrons ar tratd as particls. 9,10 In our prvious studis, 9 analyss of th two-grid ion ngins usd in th xprimnts carrid out by Hayakawa 11 wr prformd. Th calculatd grid currnts agrd wll with thos obtaind xprimntally, and a charactristic rosion pattrn rfrrd to as "pits & groovs" was obsrvd in th stimatd rosion distribution of th downstram surfac of th accl grid. Figur 1. Schmatic of impact of collidd ions on accl and dcl grids. Figur 2. Distribution of collidd ion particls. In th prsnt study, a full-pic analysis of a Hayabusa typ thr-grid ion ngin was carrid out. To invstigat th ffct of th Boltzmann rlation in thr-grid ion ngin analyss, a hybrid-pic analysis using th Boltzmann rlation was also prformd. By th comparison of th lctric potntial distribution and th numbr dnsity distribution of lctrons obtaind from th two analyss, th applicability of th Boltzmann rlation to thr-grid ion ngins is discussd. II. Numrical procdurs Full-PIC and hybrid-pic analyss wr prformd with th sam oprational conditions and ngin gomtris. Th propllant was assumd to b xnon. Th following numrical procdurs wr applid in th prsnt analyss (s Fig. 3). A. Full-PIC analysis Th motion of chargd particls is calculatd by th full-pic mthod. Both ions and lctrons ar tratd as particls and mov according to rlativ quations of motion. For th quantitativ valuations in this study, th 4thordr Rung-Kutta-Gill mthod is mployd for th tim intgration of th quations of motion. Th tim stp rquird for lctron motion is much lowr than that for ion motion, rsulting in a hug calculation tim. Thus, to shortn th calculation tim, an artificial lctron mass, assumd to b tims smallr than th ion mass, is 2
3 introducd. In past work, 10 it was found that for a ratio of ion mass to lctron mass of highr than 10000, th lctron distribution was narly indpndnt of th ratio. Elctric potntial distributions ar obtaind by solving th Poisson quation by th FEM (finit lmnt mthod). n i n. (1) 0 Th numbr dnsitis of chargd particls obtaind by calculating th quation of motion ar usd in calculation of Eq. (1). Elastic and charg-xchangd collisions btwn th ions constituting th ion bam and th nutrals ar calculatd. This analysis also trats multipl collisions btwn collidd ions and nutrals. Owing to th high numbr dnsity of nutrals compard with that of ions, th numbr dnsity distribution of nutrals is fixd throughout th analyss. Th distribution is calculatd by th DSMC (dirct simulation of Mont Carlo) mthod in advanc. Bcaus of th low ratio of th numbr dnsity of collidd ions to that of th ions constituting th ion bam, if a collision occurs, a collidd ion and a collidd nutral ar addd to th simulation. B. Hybrid-PIC analysis Th numrical procdurs in th hybrid-pic analysis ar almost th sam as thos in th full-pic analysis xcpt for th tratmnt of th lctron motion. In th hybrid-pic analysis, th numbr dnsity distribution of lctrons is stimatd from th Boltzmann rlation. n n, rf xp kt, rf Th lctric potntial and lctron numbr dnsity of th plasma at th upstram boundary, p and n, p, ar usd as th rfrnc valus p,rf and n, rf in Eq. (2), rspctivly. Th lctric potntial and dnsity of lctrons, and n,, at th downstram boundary ar rspctivly usd as p,rf and n, rf for th nutralizing lctrons. In this study, p and ar 1510 and 0 V, rspctivly. Th lctric potntials on th scrn grid, on th accl grid, and on th dcl grid, s, A, and D, ar st to 1500, -400, and 0, rspctivly. By itrativ calculation using Eqs. (1) and (2), slf-consistnt lctric potntial and lctron numbr dnsity distributions ar obtaind for th ion numbr dnsity distribution obtaind from th quation of motion. rf. (2) Figur 3. Schmatic of numrical procdur Figur 4. Schmatic of thr-dimnsional calculation domain and conditions C. Calculation domain and numrical conditions Th gomtric paramtrs ar chosn to b similar to thos in th 10 ion ngin. To shortn th calculation tim, th thr-dimnsional calculation domain is limitd to a rctangular paralllpipd by applying som symmtry conditions, as shown in Fig. 4. Mirror rflction conditions ar applid to th boundary surfacs xcpt for th 3
4 surfac at y= y max, whr a lin symmtry condition is applid. A rctangular grid with 43, 39, and 181 grid points in th x-, y-, and z-dirctions, rspctivly, is usd. Uniform grid sizs ar st in th x- and y-dirctions and a nonuniform grid siz is st in th z-dirction. At th upstram boundary, th ion numbr dnsitis of th plasma n i, p = n, p ar applid. Elctrons with th Maxwll distribution for a tmpratur of 5 V and ions with a fixd axial vlocity flow into th calculation domain. Th ion numbr dnsity of th plasma is dtrmind from th bamlt currnt. In th prsnt analyss, th bamlt currnt was st to 0.3 ma. On th downstram boundary surfac, th numbr dnsity of nutralizing lctrons is st to th avrag ion dnsity of th bamlt. Nutralizing lctrons flow into th nutralizing rgion with th Maxwll distribution for a tmpratur of 5 V. III. Rsults and discussion A. Elctric potntial and numbr dnsity of lctrons distributions Figur 5 shows a comparison btwn th lctric potntial distributions at y = 0 mm obtaind by th full-pic and hybrid-pic analyss. Th two distributions agr wll xcpt for in th nutralizing rgion downstram of th dcl grid. In th vicinity of th hol cntr and downstram of th dcl grid, th lctric potntial for th full-pic analysis is highr than that for th hybrid-pic analysis. Figur 6 shows th lctric potntial distributions in th x-y plan along th whit lin shown in Fig. 5 for both analyss. In Fig. 6, a diffrnc in th lctric potntial can b clarly obsrvd. Figur 7 shows a comparison btwn th numbr dnsity distributions of lctrons at y = 0 mm obtaind by th two analyss. Th numbr dnsity of lctrons in th vicinity of th hol cntr and downstram of th dcl grid for th full-pic analysis is lowr than that for th hybrid-pic analysis. Th diffrnc can also b obsrvd clarly in Fig. 8. Ths rsults indicat that th low numbr dnsity in this rgion causs th high lctric potntial for th full-pic analysis. Namly, in this rgion, th lctric potntial distribution is affctd by th Boltzmann rlation. Th motion of ions is dtrmind by th lctric potntial distribution. Ths rsults suggst that th Boltzmann rlation may influnc th rat of grid rosion. a) b) Figur 5. Two-dimnsional distributions of lctric potntial (y=0) obtaind by a) full-pic analysis and b) hybrid-pic analysis. a) b) Figur 6. Two-dimnsional distributions of lctric potntial along whit lin in Fig. 5 obtaind by a) full-pic analysis and b) hybrid- PIC analysis. a) b) Figur 7. Two-dimnsional distributions of lctron numbr dnsity (y=0) obtaind by a) full-pic analysis and b) hybrid-pic analysis. a) b) Figur 8. Two-dimnsional distributions of lctron numbr dnsity along whit lin in Fig. 5 obtaind by a) full-pic analysis and b) hybrid-pic analysis. 4
5 B. Vlocity distribution of lctrons To invstigat th diffrnc btwn th distributions of th lctron numbr dnsity obtaind by th full-pic and hybrid-pic analyss, th vlocity distributions of lctrons obtaind by th full-pic analysis wr invstigatd. Figur 9 shows th calculatd axial vlocity distributions of lctrons at points (A) and (B) in th upstram rgion, as shown in Figs. 5 and 7. Each distribution agrs wll with th Maxwll distribution f, whr f n m 2 kt 1 mw xp 2 k T 2. (3) a) b) Figur 9. Axial vlocity distributions of lctrons at a) (A) and b) (B) obtaind by full-pic analysis and vlocity distributions f.. Figur 10 shows th axial distributions of th lctron numbr dnsitis and lctric potntials along th cntrlin of th grid hol in th nutralizing rgion obtaind by th two analyss (s Fig. 7). Th numbr dnsity distribution of lctrons stimatd from th Boltzmann rlation for th lctric potntial obtaind by th full-pic analysis is also givn in Fig. 10. Th lctron numbr dnsity for th full-pic analysis is much lowr than that stimatd from th Boltzmann rlation. Th axial vlocity distribution of lctrons at point (C) in Fig. 10, whr th lctric potntial is highr than that on th boundary, is shown in Fig. 11. Th distribution at (C) diffrs from th Figur 10. Axial distributions of ion and lctron numbr dnsitis and lctric potntials along th cntrlin of th grid hol in th nutralizing rgion obtaind by full-pic and hybrid-pic analyss. Figur 11. Axial vlocity distribution of lctrons at (C) obtaind by full-pic analysis and vlocity distributions f and g. 5
6 Maxwll distribution f. Th lctrons flowing from th downstram boundary with th Maxwll distribution ar acclratd by th positiv diffrnc btwn th lctric potntials at (C) and at th boundary. Thus, th ratio of lctrons in th low-vlocity rgion dcrass. Figur 11 rvals that th high ratio of lctrons in th high-vlocity rgion satisfis th vlocity distribution including th ffct of th diffrnc btwn th lctric potntials g, givn by g n, rf m 2 kt 1 2 mw rf xp 2 k T. (4) Th lctric potntial and lctron numbr dnsity for th hybrid analysis ar slf-consistnt solutions of Eqs. (1) and (2). Bcaus of th supprssion of th positiv lctric potntial in th nutralizing rgion, th lctron numbr dnsity for th hybrid-pic analysis bcoms low compard with that stimatd from th Boltzmann rlation using th lctric potntial in th full-pic analysis. Howvr, diffrncs btwn th distributions of th lctric potntial and lctron numbr dnsity for th full-pic and hybrid-pic analyss ar obsrvd in Fig. 10. IV. Conclusion Diffrncs btwn th lctric potntials and lctron numbr dnsitis obtaind by a full-pic analysis and a hybrid-pic analysis mploying th Boltzmann rlation wr obsrvd in th nutralizing rgion of a simulatd thrgrid ion ngin. In this rgion, th lctron numbr dnsity obtaind by th full-pic analysis diffrs from that obtaind using Boltzmann rlation. This diffrnc btwn th lctron numbr dnsitis is causd by th non- Maxwllian lctrons in th positiv-lctric-potntial rgion in th full-pic analysis. Acknowldgmnts This work was supportd by Japan Arospac Exploration Agncy undr cooprativ rsarch projct. Th authors would lik to thank mmbrs of th JIEDI (JAXA Ion Engin Dvlopmnt Initiativs) projct for thir supports. Rfrncs 1 Funaki, I., Kuninaka, H. and Toki, K., "Plasma Charactrization of a 10-cm Diamtr Microwav Discharg Ion Thrustr," J. Propulsion and Powr, Vol. 20, No.4, 2004, pp Kuninaka, H, "Rsarch and Dvlopmnt of JIEDI (JAXA Ion Engin Dvlopmnt Initiativs) Tool for Numrical Evaluation of Ion Engin Grid Liftim," JAXA Spcial Publication, JAXA-SP , pp.5-9, 2007 (in Japans). 3 Nakano, M, "Thr-dimnsional Simulations of Ion Engin Grid Erosion," Advancs in Applid Plasma Scinc, Vol. 6, 2007, pp Nakayama, N. and Wilbur, P.J., "Numrical Simulation of Ion Bam Optics for Multipl-grid Systms," J. Propulsion and Powr, Vol. 19, No.4, 2003, pp Wang, J., Cao, Y., Kafafy, R., Martinz, R., and Williams, J., "Ion Impingmnt Limits of Sub-Scal Ion Optics: Comparison of Simulation and Exprimnt," AIAA papr , Tartz, M., Hartmann, E., Dltschw, R., and Numann, H., "Validation of a Grid Erosion Simulation by Short-tim Erosion Masurmnts," Procdings of th 26th Intrnational Elctric Propulsion Confrnc, IEPC , Okawa, Y., Takgahara, H., "Particl Simulation on Ion Bam Extraction Phnomna in an Ion Thrustr," Procdings of th 26th Intrnational Elctric Propulsion Confrnc, IEPC , Birdsall, C.K. and Langdon, A.B., Plasma Physics via Computr Simulation, MacGraw-Hill, Miyasaka, T, Kobayashi, T., and Asato, K., "Charactristics of Ions Impacting Grid Surfacs in an Ion Engin," Vacuum, Vol. 85, No. 5, 2010, pp Miyasaka, T, Kobayashi, T., and Asato, K., "Numrical Prdiction of Grid Erosion of Ion Engin," Trans. of th Japan Soc. for Aronautical and Spac Scincs, Arospac Tchnology Japan [onlin journal], Vol. 8, No. ists27, 2010, pp.pb_61-pb_66, URL: [citd 9 March 2011]. 11 Hayakawa, Y., "Currnt Distribution on a Two-grid-ion-xtraction-systm Gridlt," JAXA Spcial Publication: JAXA-SP , pp.20-27, 2007 (in Japans). 6
SIMPLE ONE-DIMENSIONAL CALCULATION OF HALL THRUSTER FLOWFIELDS
SIMPLE ONE-DIMENSIONAL CALCULATION OF HALL THRUSTER FLOWFIELDS Hirokazu Tahara, Takashi Fujioka, Atsushi Shirasakiand Takao Yoshikawa Graduat School of Enginring Scinc, Osaka Univrsity 1-3, Machikanyama,
More informationThree-dimensional Hybrid-PIC Simulation of Microwave Neutralizer
Thr-dimnsional Hybrid-PIC Simulation of Microwav Nutralizr IEPC-2013-098 Prsntd at th 33rd Intrnational Elctric Propulsion Confrnc, Th Gorg Washington Univrsity Washington, D.C. USA Octobr 6 10, 2013 K.
More informationSpace Potential Fluctuation in an Anode-layer Hall Thruster
Spac Potntial Fluctuation in an -layr Hall Thrustr IEPC-5-4 Prsntd at th 9 th Intrnational Elctric Propulsion Confrnc, Princton Univrsity, Octobr 3 Novmbr 4, 5 Shigru Yokota *, Kimiya Komurasaki, and Yoshihiro
More informationNUMERICAL SIMULATION OF ION THRUSTER OPTICS*
NUMERICAL SIMULATION OF ION THRUSTER OPTICS* Cody C. Farnll, John D. Williams, and Paul J. Wilbur Dpartmnt of Mchanical Enginring Colorado Stat Univrsity Fort Collins, CO 8053 Phon: (970) 491-834 Fax:
More informationIYPT 2000 Problem No. 3 PLASMA
IYPT 000 Problm No. 3 PLASMA Tam Austria Invstigat th lctrical conducivity of th flam of a candl. Examin th influnc of rlvant paramtrs, in particular, th shap and polarity of th lctrods. Th xprimnts should
More informationElectron Kinetic Effects and Beam-Related Instabilities in Hall Thrusters
Elctron Kintic Effcts and Bam-Rlatd Instabilitis in Hall Thrustrs IEPC-007-5 Prsntd at th 30 th Intrnational Elctric Propulsion Confrnc, Flornc, Italy I. D. Kaganovich * and Y. Raitss Plasma Physics Laboratory,
More informationFinite Element Model of a Ferroelectric
Excrpt from th Procdings of th COMSOL Confrnc 200 Paris Finit Elmnt Modl of a Frrolctric A. Lópz, A. D Andrés and P. Ramos * GRIFO. Dpartamnto d Elctrónica, Univrsidad d Alcalá. Alcalá d Hnars. Madrid,
More informationStudies of Turbulence and Transport in Alcator C-Mod Ohmic Plasmas with Phase Contrast Imaging and Comparisons with GYRO*
Studis of Turbulnc and Transport in Ohmic Plasmas with Phas Contrast Imaging and Comparisons with GYRO* L. Lin 1, M. Porkolab 1, E.M. Edlund 1, J.C. Rost 1, M. Grnwald 1, D.R. Mikklsn 2, N. Tsujii 1 1
More informationThe influence of electron trap on photoelectron decay behavior in silver halide
Th influnc of lctron trap on photolctron dcay bhavior in silvr halid Rongjuan Liu, Xiaowi Li 1, Xiaodong Tian, Shaopng Yang and Guangshng Fu Collg of Physics Scinc and Tchnology, Hbi Univrsity, Baoding,
More informationA General Thermal Equilibrium Discharge Flow Model
Journal of Enrgy and Powr Enginring 1 (216) 392-399 doi: 1.17265/1934-8975/216.7.2 D DAVID PUBLISHING A Gnral Thrmal Equilibrium Discharg Flow Modl Minfu Zhao, Dongxu Zhang and Yufng Lv Dpartmnt of Ractor
More informationCh. 24 Molecular Reaction Dynamics 1. Collision Theory
Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic
More informationModeling of the Plasma Flow in High-Power TAL
39th AIAA/ASME/SAE/ASEE Joint Propulsion Confrnc and Exhibit 20-23 July 2003, Huntsvill, Alabama AIAA 2003-4701 AIAA-2003-4701 Modling of th Plasma Flow in High-Powr TAL Michal Kidar, Iain D. Boyd and
More informationNumerical Simulation of Probe Measurements in a Nonequilibrium Plasma, Using a Detailed Model Electron Fluid
45th AIAA Arospac Scincs Mting and Exhibit 8-11 January 007, Rno, Nvada AIAA 007-995 Numrical Simulation of Prob Masurmnts in a Nonquilibrium Plasma, Using a Dtaild Modl Elctron Fluid Jrmiah Bornr * and
More informationStatus of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)
Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of
More informationExtraction of Doping Density Distributions from C-V Curves
Extraction of Doping Dnsity Distributions from C-V Curvs Hartmut F.-W. Sadrozinski SCIPP, Univ. California Santa Cruz, Santa Cruz, CA 9564 USA 1. Connction btwn C, N, V Start with Poisson quation d V =
More informationMCE503: Modeling and Simulation of Mechatronic Systems Discussion on Bond Graph Sign Conventions for Electrical Systems
MCE503: Modling and Simulation o Mchatronic Systms Discussion on Bond Graph Sign Convntions or Elctrical Systms Hanz ichtr, PhD Clvland Stat Univrsity, Dpt o Mchanical Enginring 1 Basic Assumption In a
More informationA nonequilibrium molecular dynamics simulation of evaporation
Intrnational Confrnc Passiv and Low Enrgy Cooling 543 A nonquilibrium molcular dynamics simulation of vaporation Z.-J. Wang, M. Chn and Z.-Y. Guo Dpartmnt of Enginring Mchanics, Tsinghua Univrsity, Bijing
More informationEXST Regression Techniques Page 1
EXST704 - Rgrssion Tchniqus Pag 1 Masurmnt rrors in X W hav assumd that all variation is in Y. Masurmnt rror in this variabl will not ffct th rsults, as long as thy ar uncorrlatd and unbiasd, sinc thy
More informationRunaway Electrons and Current Dynamics During Tokamak Disruptions
Runaway lctrons and Currnt Dynamics During Tokamak Disruptions P. Hlandr, D. Andrson, F. Andrsson, L.-G. riksson 3, M. Lisak uratom/ukaa Fusion Association, Culham Scinc Cntr, UK Dpt of lctromagntics,
More informationKinetic Integrated Modeling of Heating and Current Drive in Tokamak Plasmas
1 HW/P-1 Kintic Intgratd Modling of Hating and Currnt riv in okamak Plasmas A. Fukuyama 1), H. Nuga 1), S. Murakami 1) 1) Graduat School of Enginring, Kyoto Univrsity, Kyoto, Japan -mail contact of main
More informationRecursive Estimation of Dynamic Time-Varying Demand Models
Intrnational Confrnc on Computr Systms and chnologis - CompSysch 06 Rcursiv Estimation of Dynamic im-varying Dmand Modls Alxandr Efrmov Abstract: h papr prsnts an implmntation of a st of rcursiv algorithms
More informationSimulations des micro-décharges de type MHCD
Simulations ds micro-déchargs d typ MHCD Lann Pitchford Group GREPHE Laboratoir ds Plasmas t Convrsion d Enrgi Univrsité d Toulous t CNRS UMR 5213 pitchford@laplac.univ-tls.fr JP Bouf, G. Haglaar, Th Callgari
More information22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.
Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M
More information5.80 Small-Molecule Spectroscopy and Dynamics
MIT OpnCoursWar http://ocw.mit.du 5.80 Small-Molcul Spctroscopy and Dynamics Fall 008 For information about citing ths matrials or our Trms of Us, visit: http://ocw.mit.du/trms. Lctur # 3 Supplmnt Contnts
More informationCharacteristics of Gliding Arc Discharge Plasma
Caractristics of Gliding Arc Discarg Plasma Lin Li( ), Wu Bin(, Yang Ci(, Wu Cngkang ( Institut of Mcanics, Cins Acadmy of Scincs, Bijing 8, Cina E-mail: linli@imc.ac.cn Abstract A gliding arc discarg
More informationMEASURING HEAT FLUX FROM A COMPONENT ON A PCB
MEASURING HEAT FLUX FROM A COMPONENT ON A PCB INTRODUCTION Elctronic circuit boards consist of componnts which gnrats substantial amounts of hat during thir opration. A clar knowldg of th lvl of hat dissipation
More information1.2 Faraday s law A changing magnetic field induces an electric field. Their relation is given by:
Elctromagntic Induction. Lorntz forc on moving charg Point charg moving at vlocity v, F qv B () For a sction of lctric currnt I in a thin wir dl is Idl, th forc is df Idl B () Elctromotiv forc f s any
More informationELECTRON-MUON SCATTERING
ELECTRON-MUON SCATTERING ABSTRACT Th lctron charg is considrd to b distributd or xtndd in spac. Th diffrntial of th lctron charg is st qual to a function of lctron charg coordinats multiplid by a four-dimnsional
More informationThe Autonomous Underwater Vehicle (AUV) MAYA: General Description
Introduction h ocans and rivrs always hav bn and still ar an important sourc of rvnu and prosprity for mankind. Du to th grat importanc of ocans and rivrs, th scintific community maks us of Autonomous
More informationFully Kinetic Particle-in-Cell Simulation of a Hall Thruster
Fully Kintic Particl-in-Cll Simulation of a Hall Thrustr Francsco Taccogna 1, Savino Longo 1,2, Mario Capitlli 1,2, and Ralf Schnidr 3 1 Dipartimnto di Chimica dll Univrsitài di Bari, via Orabona 4, 70126
More informationTREATMENT OF THE PLASMA NONLINEAR ABSORPTION LAW AT LINEARLY POLARIZED LASER RADIATION OF RELATIVISTIC INTENSITIES. A. G.
Armnian Journal of Physics, 15, vol. 8, issu, pp. 64-7 TREATMENT OF THE PLASMA NONLINEAR ABSORPTION LAW AT LINEARLY POLARIZED LASER RADIATION OF RELATIVISTIC INTENSITIES A. G. Ghazaryan Cntr of Strong
More informationCollisions between electrons and ions
DRAFT 1 Collisions btwn lctrons and ions Flix I. Parra Rudolf Pirls Cntr for Thortical Physics, Unirsity of Oxford, Oxford OX1 NP, UK This rsion is of 8 May 217 1. Introduction Th Fokkr-Planck collision
More informationDetermination of Vibrational and Electronic Parameters From an Electronic Spectrum of I 2 and a Birge-Sponer Plot
5 J. Phys. Chm G Dtrmination of Vibrational and Elctronic Paramtrs From an Elctronic Spctrum of I 2 and a Birg-Sponr Plot 1 15 2 25 3 35 4 45 Dpartmnt of Chmistry, Gustavus Adolphus Collg. 8 Wst Collg
More informationGAS FOIL BEARING ANALYSIS AND THE EFFECT OF BUMP FOIL THICKNESS ON ITS PERFORMANCE CHARACTERISTICS USING A NON-LINEAR MATRIX EQUATION SOLVER
GAS FOIL BEARING ANALYSIS AND THE EFFECT OF BUMP FOIL THICKNESS ON ITS PERFORMANCE CHARACTERISTICS USING A NON-LINEAR MATRIX EQUATION SOLVER T. Moasunp. Jamir 1)*, S. K. Kakoty 1), Karuna Kalita 1) 1)
More informationEinstein Equations for Tetrad Fields
Apiron, Vol 13, No, Octobr 006 6 Einstin Equations for Ttrad Filds Ali Rıza ŞAHİN, R T L Istanbul (Turky) Evry mtric tnsor can b xprssd by th innr product of ttrad filds W prov that Einstin quations for
More informationFUNCTION OF A HOLLOW ANODE FOR AN ANODE LAYER TYPE HALL THRUSTER
39th AIAA/ASME/SAE/ASEE Joint Propulsion Confrnc an Exhibit -3 July 3, Huntsvill, Alabama AIAA 3-47 FUNCTION OF A HOLLOW ANODE FO AN ANODE LAYE TYPE HALL THUSTE Shinsuk YASUI*, Kn KUMAKUA**, Naoji YAMAMOTO*,Kimiya
More informationINFLUENCE OF GROUND SUBSIDENCE IN THE DAMAGE TO MEXICO CITY S PRIMARY WATER SYSTEM DUE TO THE 1985 EARTHQUAKE
13 th World Confrnc on Earthquak Enginring Vancouvr, B.C., Canada August 1-6, 2004 Papr No. 2165 INFLUENCE OF GROUND SUBSIDENCE IN THE DAMAGE TO MEXICO CITY S PRIMARY WATER SYSTEM DUE TO THE 1985 EARTHQUAKE
More informationde/dx Effectively all charged particles except electrons
de/dx Lt s nxt turn our attntion to how chargd particls los nrgy in mattr To start with w ll considr only havy chargd particls lik muons, pions, protons, alphas, havy ions, Effctivly all chargd particls
More informationKoch Fractal Boundary Single feed Circularly Polarized Microstrip Antenna
1 Journal of Microwavs, Optolctronics and Elctromagntic Applications, Vol. 6, No. 2, Dcmbr 2007 406 Koch Fractal Boundary Singl fd Circularly Polarizd Microstrip Antnna P. Nagswara Rao and N. V. S.N Sarma
More informationOn the Hamiltonian of a Multi-Electron Atom
On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making
More informationContemporary, atomic, nuclear, and particle physics
Contmporary, atomic, nuclar, and particl physics 1 Blackbody radiation as a thrmal quilibrium condition (in vacuum this is th only hat loss) Exampl-1 black plan surfac at a constant high tmpratur T h is
More informationEvaluating Reliability Systems by Using Weibull & New Weibull Extension Distributions Mushtak A.K. Shiker
Evaluating Rliability Systms by Using Wibull & Nw Wibull Extnsion Distributions Mushtak A.K. Shikr مشتاق عبذ الغني شخير Univrsity of Babylon, Collg of Education (Ibn Hayan), Dpt. of Mathmatics Abstract
More informationA New Approach to the Fatigue Life Prediction for Notched Components Under Multiaxial Cyclic Loading. Zhi-qiang TAO and De-guang SHANG *
2017 2nd Intrnational Conrnc on Applid Mchanics, Elctronics and Mchatronics Enginring (AMEME 2017) ISBN: 978-1-60595-497-4 A Nw Approach to th Fatigu Li Prdiction or Notchd Componnts Undr Multiaxial Cyclic
More informationThe pn junction: 2 Current vs Voltage (IV) characteristics
Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n
More informationEigenvalue Distributions of Quark Matrix at Finite Isospin Chemical Potential
Tim: Tusday, 5: Room: Chsapak A Eignvalu Distributions of Quark Matri at Finit Isospin Chmical Potntial Prsntr: Yuji Sasai Tsuyama National Collg of Tchnology Co-authors: Grnot Akmann, Atsushi Nakamura
More informationHigh Energy Physics. Lecture 5 The Passage of Particles through Matter
High Enrgy Physics Lctur 5 Th Passag of Particls through Mattr 1 Introduction In prvious lcturs w hav sn xampls of tracks lft by chargd particls in passing through mattr. Such tracks provid som of th most
More informationCoupled-Physics Modeling of Electrostatic Fluid Accelerators for Forced Convection Cooling
Coupld-Physics Modling of Elctrostatic Fluid Acclrators for Forcd Convction Cooling N. E. Jwll-Larsn *, P. Q. Zhang., and C. P. Hsu Univrsity of Washington, Sattl, WA, 981952 I. A. Krichtafovitch Kronos
More informationNUMERICAL SIMULATION OF THERMAL WARPING AND BUCKLING IN ENAMELLED STEEL PARTS
NUMERICAL SIMULATION OF THERMAL WARPING AND BUCKLING IN ENAMELLED STEEL PARTS 337 XXI Intrnational Enamllrs Congrss Numrical Simulation of Thrmal Warping and Buckling in Enamlld Stl Parts Filip Van dn
More informationHeat Flux Measurements in the Hall Thruster Plume
Hat Flux Masurmnts in th Hall Thrustr Plum IEPC-25-67 Prsntd at th 29 th Intrnational Elctric Propulsion Confrnc, Princton Univrsity, Octobr 31 Novmbr 4, 25 G. Makrinich * and A. Fruchtman Holon Acadmic
More informationTHE EFFECTS OF CLUSTERING MULTIPLE HALL THRUSTERS ON PLASMA PLUME PROPERTIES
THE EFFECTS OF CLUSTERING MULTIPLE HALL THRUSTERS ON PLASMA PLUME PROPERTIES Brian E. Bal * and Alc D. Gallimor Plasmadynamics and Elctric Propulsion Laboratory Dpartmnt of Arospac Enginring Th Univrsity
More informationGEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES. Eduard N. Klenov* Rostov-on-Don, Russia
GEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES Eduard N. Klnov* Rostov-on-Don, Russia Th articl considrs phnomnal gomtry figurs bing th carrirs of valu spctra for th pairs of th rmaining additiv
More informationElectric (Rocket) Propulsion. EP Overview
Elctric (Rockt) Propulsion EP Ovrviw Elctric Propulsion-1 Basics Rockt Propulsion Elmnts Propllant Enrgy Sourc Storag Fd Systm sam in chmical rockts Storag Convrsion Acclrator Elctric Propulsion- 1 Elctric
More informationInstantaneous Cutting Force Model in High-Speed Milling Process with Gyroscopic Effect
Advancd Matrials sarch Onlin: -8-6 ISS: 66-8985, Vols. 34-36, pp 389-39 doi:.48/www.scintific.nt/am.34-36.389 rans ch Publications, Switzrland Instantanous Cutting Forc Modl in High-Spd Milling Procss
More informationStudy of a coaxial vacuum arc thruster plume and its interaction with applied magnetic field
Study of a coaxial vacuum arc thrustr plum and its intraction with applid magntic fild IEPC-2015-82/ISTS-2015-b-82 Prsntd at Joint Confrnc of 30th Intrnational Symposium on Spac Tchnology and Scinc 34th
More informationAS 5850 Finite Element Analysis
AS 5850 Finit Elmnt Analysis Two-Dimnsional Linar Elasticity Instructor Prof. IIT Madras Equations of Plan Elasticity - 1 displacmnt fild strain- displacmnt rlations (infinitsimal strain) in matrix form
More informationSliding Mode Flow Rate Observer Design
Sliding Mod Flow Rat Obsrvr Dsign Song Liu and Bin Yao School of Mchanical Enginring, Purdu Univrsity, Wst Lafaytt, IN797, USA liu(byao)@purdudu Abstract Dynamic flow rat information is ndd in a lot of
More informationWhy is a E&M nature of light not sufficient to explain experiments?
1 Th wird world of photons Why is a E&M natur of light not sufficint to xplain xprimnts? Do photons xist? Som quantum proprtis of photons 2 Black body radiation Stfan s law: Enrgy/ ara/ tim = Win s displacmnt
More information2008 AP Calculus BC Multiple Choice Exam
008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl
More informationFull Waveform Inversion Using an Energy-Based Objective Function with Efficient Calculation of the Gradient
Full Wavform Invrsion Using an Enrgy-Basd Objctiv Function with Efficint Calculation of th Gradint Itm yp Confrnc Papr Authors Choi, Yun Sok; Alkhalifah, ariq Ali Citation Choi Y, Alkhalifah (217) Full
More informationObserver Bias and Reliability By Xunchi Pu
Obsrvr Bias and Rliability By Xunchi Pu Introduction Clarly all masurmnts or obsrvations nd to b mad as accuratly as possibl and invstigators nd to pay carful attntion to chcking th rliability of thir
More informationSCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER. J. C. Sprott
SCALING OF SYNCHROTRON RADIATION WITH MULTIPOLE ORDER J. C. Sprott PLP 821 Novmbr 1979 Plasma Studis Univrsity of Wisconsin Ths PLP Rports ar informal and prliminary and as such may contain rrors not yt
More informationForces. Quantum ElectroDynamics. α = = We have now:
W hav now: Forcs Considrd th gnral proprtis of forcs mdiatd by xchang (Yukawa potntial); Examind consrvation laws which ar obyd by (som) forcs. W will nxt look at thr forcs in mor dtail: Elctromagntic
More informationA Propagating Wave Packet Group Velocity Dispersion
Lctur 8 Phys 375 A Propagating Wav Packt Group Vlocity Disprsion Ovrviw and Motivation: In th last lctur w lookd at a localizd solution t) to th 1D fr-particl Schrödingr quation (SE) that corrsponds to
More information4.2 Design of Sections for Flexure
4. Dsign of Sctions for Flxur This sction covrs th following topics Prliminary Dsign Final Dsign for Typ 1 Mmbrs Spcial Cas Calculation of Momnt Dmand For simply supportd prstrssd bams, th maximum momnt
More informationThe failure of the classical mechanics
h failur of th classical mchanics W rviw som xprimntal vidncs showing that svral concpts of classical mchanics cannot b applid. - h blac-body radiation. - Atomic and molcular spctra. - h particl-li charactr
More informationDavisson Germer experiment
Announcmnts: Davisson Grmr xprimnt Homwork st 5 is today. Homwork st 6 will b postd latr today. Mad a good guss about th Nobl Priz for 2013 Clinton Davisson and Lstr Grmr. Davisson won Nobl Priz in 1937.
More informationStudy of Some Basic Transport Coefficients in Noble-Gas Discharge Plasmas
Egypt. J. Solids, Vol. (30), No. (1), (2007) 137 Study of Som Basic Transport Cofficints in Nobl-Gas Discharg Plasmas M. H. Elghazaly, S. Solyman and A. M. Abdl baky Dpartmnt of Physics, Faculty of Scinc,
More informationTHE T6 HOLLOW CATHODE: MEASUREMENTS AND MODELING
34th AIAA Plasmadynamics and Lasrs Confrnc 23-26 Jun 2003, Orlando, Florida AIAA 2003-4171 34 th AIAA Plasmadynamics and Lasrs Confrnc, Orlando, Jun 2003. THE T6 HOLLOW CATHODE: MEASUREMENTS AND MODELING
More informationNEW APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA
NE APPLICATIONS OF THE ABEL-LIOUVILLE FORMULA Mirca I CÎRNU Ph Dp o Mathmatics III Faculty o Applid Scincs Univrsity Polithnica o Bucharst Cirnumirca @yahoocom Abstract In a rcnt papr [] 5 th indinit intgrals
More informationThe Relativistic Stern-Gerlach Force C. Tschalär 1. Introduction
Th Rlativistic Strn-Grlach Forc C. Tschalär. Introduction For ovr a dcad, various formulations of th Strn-Grlach (SG) forc acting on a particl with spin moving at a rlativistic vlocity in an lctromagntic
More informationLecture 37 (Schrödinger Equation) Physics Spring 2018 Douglas Fields
Lctur 37 (Schrödingr Equation) Physics 6-01 Spring 018 Douglas Filds Rducd Mass OK, so th Bohr modl of th atom givs nrgy lvls: E n 1 k m n 4 But, this has on problm it was dvlopd assuming th acclration
More informationThe van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012
Th van dr Waals intraction D. E. Sopr 2 Univrsity of Orgon 20 pril 202 Th van dr Waals intraction is discussd in Chaptr 5 of J. J. Sakurai, Modrn Quantum Mchanics. Hr I tak a look at it in a littl mor
More informationChapter 1. Introduction
Chaptr 1 Introduction On of th major causs of poor indoor air quality at som facilitis is th sporadic occurrnc of xhaust ringstion at frsh air intaks. Univrsity, hospital and industrial laboratoris as
More informationProcdings of IC-IDC0 ( and (, ( ( and (, and (f ( and (, rspctivly. If two input signals ar compltly qual, phas spctra of two signals ar qual. That is
Procdings of IC-IDC0 EFFECTS OF STOCHASTIC PHASE SPECTRUM DIFFERECES O PHASE-OLY CORRELATIO FUCTIOS PART I: STATISTICALLY COSTAT PHASE SPECTRUM DIFFERECES FOR FREQUECY IDICES Shunsu Yamai, Jun Odagiri,
More informationLecture 28 Title: Diatomic Molecule : Vibrational and Rotational spectra
Lctur 8 Titl: Diatomic Molcul : Vibrational and otational spctra Pag- In this lctur w will undrstand th molcular vibrational and rotational spctra of diatomic molcul W will start with th Hamiltonian for
More informationTitle: Vibrational structure of electronic transition
Titl: Vibrational structur of lctronic transition Pag- Th band spctrum sn in th Ultra-Violt (UV) and visibl (VIS) rgions of th lctromagntic spctrum can not intrprtd as vibrational and rotational spctrum
More informationOsmium doping of UAl 2. Department of Physics and Engineering Greenville, SC Department of Physics Gainesville, FL
Osmium doping of UAl 2 T. D. Scott 1,2, D. J. Burntt 2, J. S. Kim 2, and G. R. Stwart 2 1 Bob Jons Univrsity Dpartmnt of Physics and Enginring Grnvill, SC 29614 2 Univrsity of Florida Dpartmnt of Physics
More informationData Assimilation 1. Alan O Neill National Centre for Earth Observation UK
Data Assimilation 1 Alan O Nill National Cntr for Earth Obsrvation UK Plan Motivation & basic idas Univariat (scalar) data assimilation Multivariat (vctor) data assimilation 3d-Variational Mthod (& optimal
More informationNusselt number correlations for simultaneously developing laminar duct flows of liquids with temperature dependent properties
Journal of Physics: Confrnc Sris OPEN ACCESS Nusslt numbr corrlations for simultanously dvloping laminar duct flows of liquids with tmpratur dpndnt proprtis To cit this articl: Stfano Dl Giudic t al 2014
More informationNeutrino Mass and Forbidden Beta Decays
NUCLEAR THEORY Vol. 35 016) ds. M. Gaidarov N. Minkov Hron Prss Sofia Nutrino Mass and Forbiddn Bta Dcays R. Dvornický 1 D. Štfánik F. Šimkovic 3 1 Dzhlpov Laboratory of Nuclar Problms JINR 141980 Dubna
More informationSearch sequence databases 3 10/25/2016
Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an
More informationTwo Products Manufacturer s Production Decisions with Carbon Constraint
Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint
More informationTopology Optimization of Suction Muffler for Noise Attenuation
Purdu Univrsity Purdu -Pubs Intrnational Comprssor Enginring Confrnc School of Mchanical Enginring 2012 Topology Optimization of Suction Mufflr for Nois Attnuation Jin Woo L jinwool@ajou.ac.kr Dong Wook
More informationPerformance Prediction of the Single-Sided Linear. Induction Motors for Transportation Considers. Longitudinal End Effect by Using Analytic Method
Contmporary Enginring Scincs, Vol., 9, no., 95-14 Prformanc Prdiction of th Singl-Sidd Linar Induction Motors for Transportation Considrs Longitudinal End Effct by Using Analytic Mthod Ali Suat Grçk Univrsity
More informationAnalytical Modelling of conventional DMG-SOI MOSFET using Different Gate Dielectric Material
Intrnational Journal of Enginring Tchnology, Managmnt and Applid Scincs www.ijtmas.com May 017, olum 5, Issu 5, ISSN 349-4476 Analytical Modlling of convntional DMG-SOI MOSFET using Diffrnt Gat Dilctric
More informationB. water content (WC) = 0.4 WC CSF WC GM WC WM, or WC = = mol/l.
9.. A. Rlvant quation: M (TR, TE) = M ( TR /T ) TE / T M (NAA) = 38. M (cratin) = 9.6 M (cholin) = 98.4 M (watr) = 7,4 B. watr contnt (WC) =.4 WC CSF +.5 WC GM +. WC WM, or WC =.4. 55.6 +.5.87 55.6 +..83
More informationEnhanced electron screening in nuclear reactions and radioactive decays
nhancd lctron scrning in nuclar ractions and radioactiv dcays 1, *, P. Hid, A. Huk, L. Martin,. Ruprcht 3 1 Institut of Physics, Univrsity of Szczcin ul. Wilkopolska 15, 70-451 Szczcin, Poland Institut
More informationMulti-scale Analysis of Void Closure for Heavy Ingot Hot Forging
Modrn Applid Scinc; ol. 6, No. ; ISSN 9-844 E-ISSN 9-85 Publishd by Canadian Cntr of Scinc and Education Multi-scal Analysis of oid Closur for Havy Ingot Hot Forging Xiaoxun Zhang, Fang Ma, Kai Ma & Xia
More informationRational Approximation for the one-dimensional Bratu Equation
Intrnational Journal of Enginring & Tchnology IJET-IJES Vol:3 o:05 5 Rational Approximation for th on-dimnsional Bratu Equation Moustafa Aly Soliman Chmical Enginring Dpartmnt, Th British Univrsity in
More informationIn this lecture... Subsonic and supersonic nozzles Working of these nozzles Performance parameters for nozzles
Lct-30 Lct-30 In this lctur... Subsonic and suprsonic nozzls Working of ths nozzls rformanc paramtrs for nozzls rof. Bhaskar Roy, rof. A M radp, Dpartmnt of Arospac, II Bombay Lct-30 Variation of fluid
More informationElectron Emission for Electric Propulsion: Reducing Power by Mitigating Space Charge Limits
40th AIAA/ASME/SAE/ASEE Joint Propulsion Confrnc and Exhibit 11-14 July 2004, Fort Laudrdal, Florida AIAA 2004-3497 Elctron Emission for Elctric Propulsion: Rducing Powr by Mitigating Spac Charg Limits
More informationGeneral Notes About 2007 AP Physics Scoring Guidelines
AP PHYSICS C: ELECTRICITY AND MAGNETISM 2007 SCORING GUIDELINES Gnral Nots About 2007 AP Physics Scoring Guidlins 1. Th solutions contain th most common mthod of solving th fr-rspons qustions and th allocation
More informationph People Grade Level: basic Duration: minutes Setting: classroom or field site
ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:
More informationARIMA Methods of Detecting Outliers in Time Series Periodic Processes
Articl Intrnational Journal of Modrn Mathmatical Scincs 014 11(1): 40-48 Intrnational Journal of Modrn Mathmatical Scincs Journal hompag:www.modrnscintificprss.com/journals/ijmms.aspx ISSN:166-86X Florida
More informationIntro to Nuclear and Particle Physics (5110)
Intro to Nuclar and Particl Physics (5110) March 09, 009 Frmi s Thory of Bta Dcay (continud) Parity Violation, Nutrino Mass 3/9/009 1 Final Stat Phas Spac (Rviw) Th Final Stat lctron and nutrino wav functions
More informationATheoretical Analysis of Vacuum Arc Thruster Performance
AThortical Analysis of Vacuum Arc Thrustr Prformanc Jams E. Polk, Mik Skrak and John K. Zimr Jt Propulsion Laboratory, M/S 125-19, 48 Oak Grov Driv, Pasadna, CA 9119 (818) 354-9275, jams..polk@jpl.nasa.gov
More informationPrecise Masses of particles
/1/15 Physics 1 April 1, 15 Ovrviw of topic Th constitunts and structur of nucli Radioactivity Half-lif and Radioactiv dating Nuclar Binding Enrgy Nuclar Fission Nuclar Fusion Practical Applications of
More informationMCB137: Physical Biology of the Cell Spring 2017 Homework 6: Ligand binding and the MWC model of allostery (Due 3/23/17)
MCB37: Physical Biology of th Cll Spring 207 Homwork 6: Ligand binding and th MWC modl of allostry (Du 3/23/7) Hrnan G. Garcia March 2, 207 Simpl rprssion In class, w drivd a mathmatical modl of how simpl
More informationELECTRON-NEUTRINOS, v e. G. R. Kalbfleisch Brookhaven National Laboratory ABSTRACT
-1- SS -121 2251 ELECTRON-NEUTRINOS, v G. R. Kalbflisch Brookhavn National Laboratory ABSTRACT Elctron (rathr than muon) nutrino intractions ar proprly th ons to us in comparing rsults with -p intractions.
More informationDevelopment of a Space-charge-sensing System
Snsors 7, 7, 358-37 snsors ISSN 144-8 7 by MDPI www.mdpi.org/snsors Full Rsarch Papr Dvlopmnt of a Spac-charg-snsing Systm Ariadi Hazmi, Nobuyuki Takagi, Daohong Wang* and Tiji Watanab Gifu Univrsity of
More information