Enhanced sensitivity in the analysis of trace organochlorine compounds by negative-ion mass spectrometry with ammonia as reagent gas

Size: px
Start display at page:

Download "Enhanced sensitivity in the analysis of trace organochlorine compounds by negative-ion mass spectrometry with ammonia as reagent gas"

Transcription

1 Journl of Chromtogrphy A, 823 (1998) Enhnced sensitivity in the nlysis of trce orgnochlorine compounds by negtive-ion mss spectrometry with mmoni s regent gs Roser Chler, Ros Vilnov, Mry Sntigo-Silv, Pilr Fernndez, Jon O. Grimlt* Deprtment of Environmentl Chemistry (CID-CSIC), Jordi Giron 18, Brcelon, Ctloni, Spin Abstrct A comprison of the performnces of mmoni nd methne s regent gses for the nlysis of trce orgnochlorine compounds by gs chromtogrphy coupled to negtive-ion chemicl ioniztion mss spectrometry is performed in the present study. Exmples of stndrd mixtures nd humn blood smples nlyzed with both regents in scn nd selected-ion monitoring mode re shown. Importnt dvntges re observed s consequence of the use of mmoni. These concern detection nd quntittion limits nd the lower dependence of sensitivity on the degree of chlorine substitution of the compounds Elsevier Science B.V. All rights reserved. Keywords: Mss spectrometry; Orgnochlorine compounds; Pesticides; Hexchlorocyclohexnes; Hexchlorobenzene; Polychlorinted biphenyls; DDT; DDE 1. Introduction the chemicl ioniztion mode nd negtive-ion recording (GC NICI-MS) tkes dvntge of the The nlysis of orgnochlorine compounds, nme- electronegtive chrcter of these compounds nd it ly pentchlorobenzene, hexchlorobenzene, hex- hs often been used when structurl informtion is chlorocyclohexnes (HCHs), DDTs nd polychloro- needed for the nlyses [3 9]. However, the high biphenyls (PCBs), t trce concentrtions in environ- differences in sensitivity relted to the degree of mentl or biologicl mtrices is still chllenging chlorintion of the compounds [10] constitute one tsk. Gs chromtogrphy (GC) coupled to electron- importnt difficulty of this ppliction. This drwcpture detection (ECD) is the current technique of bck is prticulrly importnt in environmentl nd choice [1,2] due to its specificity for electronegtive public helth studies when the purpose of the molecules. However, this technique does not provide nlyses is devoted to determine the whole comstructurl informtion of the chemicl species. Like- position of orgnochlorine species. wise, it does not llow the selective nlysis of GC In the present pper, it is shown tht GC NICIcoeluting compounds. MS using mmoni s regent gs provides more GC coupled to mss spectrometry (GC MS) in even response mong liphtic nd romtic orgnochlorine compounds substituted by three seven * Corresponding uthor. chlorine toms. Furthermore, this regent gs gives / 98/ $ see front mtter 1998 Elsevier Science B.V. All rights reserved. PII: S (98)

2 74 R. Chler et l. / J. Chromtogr. A 823 (1998) rise to better sensitivities for most of the species nlyzed. The results re compred with those obtined with methne becuse this regent gs is the most common ionising gent in generl purpose NICI pplictions. Tble 1 Mss-ion progrmme for the chemicl ioniztion mss spectrl quntittion of orgnochlorine compounds with methne nd mmoni Time Compound Mss ions (min) m/z 4 7 Pentchlorobenzene Hexchlorocyclohexnes 71, Experimentl Hexchlorobenzene PCB No , 255 PCB No , p, p9-dde 318 PCB No Stndrds PCB No PCB No All PCB congeners were purchsed from Promo p, p9-ddt 71, 283 chem (Wesel, Germny). g-hch nd p, p9-dde PCB No were from Aldrich-Chemie (Steinheim, Germny), PCB No nd d-hchs were from Promochem (Ntionl When two ions re indicted, the first ws used for quntittion. Physicl Lbortory, Teddington, UK) nd b-hch, p, p9-ddt nd HCB were from Dr. Ehrenstorfer (Augsburg, Germny). All stndrd mixtures were prepred in isooctne. 3. Results nd discussion 3.1. Mss spectr 2.2. Instrumentl nlysis Severl representtive spectr of NICI-MS using All GC NICI-MS nlyses were performed using mmoni s regent gs re shown in Fig. 1. The Fisons MD 800 instrument (qudrupole detector, spectr displyed in this figure re dominted by the Thermo Instruments, Mnchester, UK). The gs moleculr mss frgment resulting from the incorpochromtogrph ws equipped with nonpolr fused- rtion of therml electrons produced by the modertsilic cpillry column HP-5-MS (30 m30.25 mm ing effect of mmoni. The stbility of the moleculr I.D., 0.25-mm film thickness). Helium ws used s ion depends on the mount of chlorine toms bound crrier gs (1.1 ml/min). The oven temperture ws to romtic crbons. Thus, the NICI spectr of the progrmmed from 808C (1 min) to 1208C t 158C/ tetr-, pent-, hex- nd heptchlorobiphenyl commin nd then to 3008 t 48C/min with finl holding pounds considered in this study (PCB Nos. 52, 101, time of 10 min. The smples were injected in split/ 118, 138, 153 nd 180) re dominted by the splitless mode (48 s) t 2808C (hot needle technique) moleculr ion. In the lower substituted biphenyls, nd dt cquisition strted fter solvent dely of 4 e.g. PCB No. 28, the spectr is dominted by other min. Ion source nd trnsfer line tempertures were frgments, e.g. m/z 221 (Tble 1). 150 nd 2808C, respectively. Methne nd mmoni Comprison of the hexchlorobenzene nd PCB were used s regent gses. Ion source pressure mss spectr displyed in Fig. 1 with those obtined (currently 1.6 Torr) ws djusted to mximize the with methne s regent gs [11 13] shows higher perfluorotributylmine ions (m/z 312, 452, 633 nd frgmenttion with mmoni. Thus, the reltive 671) (1 Torr P). Ion repeller ws 1.5 V. bundnces of the [M-Cl1H] ions (c %) re Dt were scnned from m/z 50 to 450 t 1 s per considerbly higher thn those reported with decde. Dt were lso cquired in selected-ion methne (5 16%; [11 13]), even those obtined t monitoring mode with dwell time nd spn of 0.06 high ion source tempertures, e.g. 2508C [13]. These s nd 0.10 u, respectively. The ion windows used in differences re consistently observed despite the this second cse re described in Tble 1. differences in frgmenttion ssocited with the use

3 R. Chler et l. / J. Chromtogr. A 823 (1998) Fig. 1. Negtive-ion chemicl ioniztion mss spectr of hexchlorobenzene, p, p9-dde nd polychlorobiphenyl congeners Nos. 138 nd 180 using mmoni s regent gs.

4 76 R. Chler et l. / J. Chromtogr. A 823 (1998) of different instruments, tht hve been reported for methne NICI MS [11]. A dominnce of the moleculr ion is lso observed in the nlysis of p, p9-dde with mmoni NICl-MS (Tble 1). In this molecule the double bond is conjugted with the benzene rings nd ll chlorine substituents re ttched to romtic crbons. Agin, this spectrum exhibits higher frgmenttion thn tht obtined with methne NICl-MS. Wheres the m/z 262 nd 281 frgments hve reltive intensity of 80% in the former cse (Fig. 1), the intensities of these frgments re 1 nd 15%, respectively, with methne [12,13]. However, in this second cse the frgmenttion pttern hs high dependence on the ion source temperture nd no moleculr ion is observed t 2508C by methne NICI-MS. Conversely, the NICI-MS of p, p9-ddt is dominted by the Cl2 ion (Tble 1). In this molecule, no conjugtion is possible nd only two of the five chlorine toms re bound to romtic crbons. The Cl2 mss frgment lso domintes the NICl-MS of Fig. 2. Scn profiles (m/z t 1 s) of stndrd mixture of hexchlorocyclohexnes (Tble 1). In this cse, ll orgnochlorine compounds recorded by gs chromtogrphy chlorine toms re linked to liphtic crbons. negtive-ion chemicl ioniztion mss spectrometry using Despite the differences in degree of frgmenttion, methne nd mmoni s regent gses. (1) Pentchlorobenzene the use of both gses give rise to the sme mss ions. (160 pg), (2) -HCH (190 pg), (3) hexchlorobenzene (160 pg), (4) b-hch (310 pg), (5) g-hch (240 pg), (6) d-hch (220 pg), Thus, the use of one or the other gs for the nlysis (7) PCB No. 28 (170 pg), (8) PCB No. 52 (160 pg), (9) PCB No. of orgnochlorine compounds does not require 101 (160 pg), (10) p, p9-dde (260 pg), (11) PCB No. 118 (170 chnges in the ions selected for identifiction or pg), (12) PCB No. 153 (210 pg), (13) p, p9-ddt (230 pg), (14) quntittion. PCB No. 138 (190 pg), (15) PCB No. 180 (230 pg) GC MS profiles 118, 153 nd 138 is higher thn in the methne profile which is essentilly dominted by hexchloro- The scn profiles (m/z t 1 s) obtined by benzene nd PCB No In ddition to this GC NICl-MS nlysis of mixture of orgnochlor- difference, smll chromtogrphic peks correine stndrds with mmoni nd methne s regent sponding to orgnochlorine compounds with lower gses re shown in Fig. 2. Consistently with previous degree of chlorine substitution (e.g., PCB Nos. 28, studies [10 12], both profiles show higher re- 52 nd 101 nd p, p9-dde) cn be observed in the sponse for the compounds with higher degree of mmoni GC NICl-MS record. These compounds chlorintion in romtic rings. Thus, compounds re hrdly detectble in the methne ioniztion contining five (pentchlorobenzene, PCB No. 118), profile. The use of mmoni s regent gs gives rise six (hexchlorobenzene, PCB Nos. 138 nd 153) or to chromtogrphic trces with lower compound seven (PCB No. 180) chlorine substituents in ben- discrimintion thn chemicl ioniztion with zene or biphenyls stnd out in the mixture. methne. Similr differences between the two gses Nevertheless, the GC profile generted by ioniz- re observed in selected-ion monitoring mode. tion with mmoni exhibits more uniform re- The difference in sensitivity between methne nd sponse. Thus, the reltive proportion of the peks mmoni is probbly due to the buffer cpcity of corresponding to pentchlorobenzene nd PCB Nos. the two gses to decrese the energy of the electrons

5 R. Chler et l. / J. Chromtogr. A 823 (1998) emitted by the mss spectrl filment to ner-therml vlues. Thus, experiments of electron decy in pulse irrdited mixtures of CCl4 nd diverse moderting gses showed tht the CCl4 electron ttchment rte 29 constnt in the presence of mmoni, 5.9?10 ml/ s, ws bout seven times higher thn in the presence of 210 methne, 8.6?10 ml/ s [14]. Likewise, the unit 28 pressure thermliztion time of mmoni, 2.8?10 s Torr, ws bout seven times shorter thn tht of 27 methne, 2.0?10 s Torr [14]. p, p9-ddt nd HCHs show lower reltive bundnces when both methne nd mmoni re used. The lck of stbiliztion of the moleculr ion in the bsence of sufficient number of chlorine substituents to romtic crbons is not only reflected in high frgmenttion but lso in low ion bundnces. Thus, these compounds exhibit low reltive responses even when they re nlyzed by selected-ion monitoring (SIM) using the m/z frgment progrm of Tble 1 tht includes m/z 71 s their specific mss ion. Among ll HCHs, the b-isomer is the one ex- Fig. 3. Selected-ion monitoring profile of humn blood extrct of hibiting the lowest signl/ response rtio with both orgnochlorine compounds recorded by gs chromtogrphy gses. The low sensitivity of this HCH isomer on negtive ion chemicl ioniztion mss spectrometry using methne nd mmoni s regent gses (m/z ion-monitoring progrm s nlysis by methne GC NICl-MS or even electrondescribed in Tble 1, the GC profiles re normlized t the cpture detection is known [15]. The different ioni- mximum pek of ech window). Pek identifiction s in Fig. 2. ztion rte of this isomer probbly reflects its higher stbility nd lower dipole moment thn the other HCHs. mmoni results in obvious dvntges in the pres- The strong differences in reltive re bundnces ence of interfering compounds such s those occurshown in Fig. 2 re significnt for the nlysis of rel ring in biologicl smples. smples such s humn blood extrcts (Fig. 3) which contin trce mounts of orgnochlorine compounds 3.3. Detection nd quntittion limits (in the order of few ng/ml). These concentrtions require high instrumentl sensitivity since the current The detection nd quntittion limits of the smple mounts vilble for nlysis re in the orgnochlorine compounds included in Figs. 2 nd 3 order of 1 ml. Smple extrction nd clen up re reported in Tble 2. They hve been obtined procedures for the preprtion of these extrcts re from the nlysis of stndrd mixtures by selecteddescribed elsewhere [15]. ion monitoring s described in Tble 1. Severl At this low mount of orgnochlorine compounds, clibrtion curves were generted by progressive e.g. low pg rnge, only hexchlorobenzene nd PCB dilution of stndrd mixtures nd subsequent in- No. 180 give detectble signls by methne GC strumentl nlysis. The vlues reported in Tble 2 NICl-MS. Conversely, PCB congeners (Nos. 118, correspond to those determined with the stright 153 nd 138) nd p, p9-dde re recorded in ddition lines closer to the lowest detectble concentrtion to the methne-detected compounds when mmoni rnge. is used. The contrst between the two ioniztion In nerly ll cses, the limits of detection nd gents is even higher thn tht observed with stn- quntittion re lower when mmoni is used s drd mixtures (Fig. 2) illustrting tht the use of regent gs. The contrst is prticulrly remrkble

6 78 R. Chler et l. / J. Chromtogr. A 823 (1998) Tble 2 Detection nd quntittion limits (in pg) of orgnochlorine compounds by chemicl ioniztion mss spectrl nlysis using methne nd mmoni s regent gses Compound Ammoni Methne Limit Limit of Limit of Limit of detection quntittion detection quntittion (pg) (pg) (pg) (pg) Pentchlorobenzene Hexchlorobenzene Hexchlorocyclohexne b-hexchlorocyclohexne g-hexchlorocyclohexne d-hexchlorocyclohexne PCB congener No PCB congener No PCB congener No p, p9-dde PCB congener No PCB congener No PCB congener No PCB congener No Not determined. mong the PCB congeners nd p, p9-dde (five to ten tion rections. Despite the differences in frgmenttimes) which, s outlined in Fig. 2, give rise to tion ptterns ssocited to these two regent gses, significnt differences for the determintion of the use of one or the other does not require chnges orgnochlorine compounds in rel smples. in the compound-specific ions selected for the SIM In the cse of HCHs, the differences re smller mode. lthough the limits re generlly lower with mmoni thn with methne. b-hch does not exhibit significnt differences from the use of one or the other regent. Likely the use of mmoni does not Acknowledgements involve ny significnt dvntge for enhnced ioniztion in this compound. We thnk Esther Mrco for her vluble help in the preprtion of stndrds. R.V. thnks the Spnish Ministry of Eduction for Ph.D. fellowship. M.S.- 4. Conclusions S. thnks FAPESP Foundtion for Support to Scientific Reserch of the So Pulo Stte (Brzil) for The use of mmoni s regent gs in GC NICl- post-doctorl fellowship. Finncil support from the MS provides lower limits of detection nd quntit- Spnish Ministry of Helth (FISS Project No. 93/ tion thn methne for most orgnochlorine comis 0006) nd the Europen Union (ENV4-CT ) pounds. These lower limits llow the detection nd cknowledged. quntittion of species with three nd four chlorine substituents in romtic rings which re difficult to determine t trce levels when methne is used s regent gs. The use of mmoni s regent gs lso References fcilittes the quntittion of the DDT derivtives. [1] J.S. Wid, PCBs nd the Environment, CRC Press, Boc The mss spectr obtined with mmoni nd Rton, FL, methne correspond to the moleculr incorportion [2] M.D. Erickson, Anlyticl Chemistry of PCBs, Lewis, Boc of therml electrons rther thn true chemicl ioniz- Rton, FL, 1991.

7 R. Chler et l. / J. Chromtogr. A 823 (1998) [3] J.R. Hss, M.D. Friesen, D.J. Hrvn, C.E. Prker, Anl. [11] E.A. Stemmler, R.A. Hites, B. Arbogst, W.L. Budde, M.L. Chem. 50 (1978) Deinzer, R.C. Dougherty, J.W. Eichelberger, R.L. Foltz, C. [4] A. Cvllro, G. Bndi, G. Invernizzi, L. Lucini, E. Grimm, E.P. Grimsrud, C. Skshit, L.J. Sers, Anl. Chem. Mongini, G. Gorni, Environ. Sci. 5 (1982) (1988) 781. [5] E. Lewis, W.D. Jmieson, Int. J. Mss Spectrom. Ion Phys. [12] E.A. Stemmler, R.A. Hites, Biomed. Environ. Mss Spec- 48 (1983) 303. trom. 17 (1988) 311. [6] M. Oehme, P. Kirschmer, Anl. Chem. 56 (1984) [13] E.A. Stemmler, R.A. Hites, Electron Cpture Negtive-ion [7] J.-A.B. Cmpbell, D.A. Griffin, M.L. Deinzer, Org. Mss Mss Spectr of Environmentl Contminnts nd Relted Spectrom. 20 (1985) 122. Compounds, VCH, New York, 1988, 390 p. [8] M. Oehme, D. Stockl, H. Knoppel, Anl. Chem. 58 (1986) [14] J. Wrmn, M.R. Suer Jr., J. Chem. Phys. 62 (1975) [15] R. Otero, M. Sntigo-Silv, J.O. Grimlt, J. Chromtogr. A [9] L. Cnton, J.O. Grimlt, Chemosphere 23 (1991) (1997) 87. [10] R.B. Westerberg, S.L. Alibrndo, F.J. vn Lenten, J. Chromtogr. 284 (1984) 447.

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K Problem : Buffer solutions. The equilibrium, hich governs the concentrtion of H ithin the solution is HCOOH! HCOO H [HCOO ] 4 Hence. [HCOOH] nd since [HCOOH] 0.00 M nd [HCOO ] 0.50 M -4 0.00 4..8 M 0.50

More information

Strategy: Use the Gibbs phase rule (Equation 5.3). How many components are present?

Strategy: Use the Gibbs phase rule (Equation 5.3). How many components are present? University Chemistry Quiz 4 2014/12/11 1. (5%) Wht is the dimensionlity of the three-phse coexistence region in mixture of Al, Ni, nd Cu? Wht type of geometricl region dose this define? Strtegy: Use the

More information

CHAPTER 08: MONOPROTIC ACID-BASE EQUILIBRIA

CHAPTER 08: MONOPROTIC ACID-BASE EQUILIBRIA Hrris: Quntittive Chemicl Anlysis, Eight Edition CHAPTER 08: MONOPROTIC ACIDBASE EQUILIBRIA CHAPTER 08: Opener A CHAPTER 08: Opener B CHAPTER 08: Opener C CHAPTER 08: Opener D CHAPTER 08: Opener E Chpter

More information

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O IAPWS R-7 The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem

More information

Problem Set 3 Solutions

Problem Set 3 Solutions Chemistry 36 Dr Jen M Stndrd Problem Set 3 Solutions 1 Verify for the prticle in one-dimensionl box by explicit integrtion tht the wvefunction ψ ( x) π x is normlized To verify tht ψ ( x) is normlized,

More information

Infrared Spectroscopy: Functional Group Determination

Infrared Spectroscopy: Functional Group Determination nfrred pectroscopy: Functionl Group Determintion tch the infrred spectr below with the following compounds. ote tht one of the compounds does not mtch ny of the spectr. dentify ny spectrl fetures tht ssisted

More information

C Nuclear Magnetic Resonance

C Nuclear Magnetic Resonance Inherent Difficulties Low bundnce of 13 C (1.1% vs, 99.9% for 1 H) Lower gyromgnetic rtio (1/4 tht of 1 H) - 13 C: 67.28 vs. 1 H 267.53-1/2 1,000,000 nuclei t 60 MHz E ΔE +1/2 1,000,009 nuclei t 60 MHz

More information

CHEMICAL KINETICS

CHEMICAL KINETICS CHEMICAL KINETICS Long Answer Questions: 1. Explin the following terms with suitble exmples ) Averge rte of Rection b) Slow nd Fst Rections c) Order of Rection d) Moleculrity of Rection e) Activtion Energy

More information

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION XX IMEKO World Congress Metrology for Green Growth September 9,, Busn, Republic of Kore THERMAL EXPANSION COEFFICIENT OF WATER FOR OLUMETRIC CALIBRATION Nieves Medin Hed of Mss Division, CEM, Spin, mnmedin@mityc.es

More information

New Expansion and Infinite Series

New Expansion and Infinite Series Interntionl Mthemticl Forum, Vol. 9, 204, no. 22, 06-073 HIKARI Ltd, www.m-hikri.com http://dx.doi.org/0.2988/imf.204.4502 New Expnsion nd Infinite Series Diyun Zhng College of Computer Nnjing University

More information

Entropy ISSN

Entropy ISSN Entropy 006, 8[], 50-6 50 Entropy ISSN 099-4300 www.mdpi.org/entropy/ ENTROPY GENERATION IN PRESSURE GRADIENT ASSISTED COUETTE FLOW WITH DIFFERENT THERMAL BOUNDARY CONDITIONS Abdul Aziz Deprtment of Mechnicl

More information

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an Chpter 9 9- ( A ek electrolyte only prtilly ionizes hen dissolved in ter. NC is n exmple of ek electrolyte. (b A Brønsted-ory cid is cule tht dontes proton hen it encounters bse (proton cceptor. By this

More information

Emission of K -, L - and M - Auger Electrons from Cu Atoms. Abstract

Emission of K -, L - and M - Auger Electrons from Cu Atoms. Abstract Emission of K -, L - nd M - uger Electrons from Cu toms Mohmed ssd bdel-rouf Physics Deprtment, Science College, UEU, l in 17551, United rb Emirtes ssd@ueu.c.e bstrct The emission of uger electrons from

More information

Experiment 9: DETERMINATION OF WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION

Experiment 9: DETERMINATION OF WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Experiment 9: DETERMINATION OF WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Purpose: Prt I: The cid ioniztion constnt of wek cid is to be determined, nd the cid is identified ccordingly.

More information

Driving Cycle Construction of City Road for Hybrid Bus Based on Markov Process Deng Pan1, a, Fengchun Sun1,b*, Hongwen He1, c, Jiankun Peng1, d

Driving Cycle Construction of City Road for Hybrid Bus Based on Markov Process Deng Pan1, a, Fengchun Sun1,b*, Hongwen He1, c, Jiankun Peng1, d Interntionl Industril Informtics nd Computer Engineering Conference (IIICEC 15) Driving Cycle Construction of City Rod for Hybrid Bus Bsed on Mrkov Process Deng Pn1,, Fengchun Sun1,b*, Hongwen He1, c,

More information

Modelling of the near infra-red radiation pulse propagation in biological tissues for medical imaging application

Modelling of the near infra-red radiation pulse propagation in biological tissues for medical imaging application JOURNAL OF INTENSE PULSED LASERS AND APPLICATIONS IN ADVANCED PHYSICS Vol. 3, No. 4, p. 4-45 Modelling of the ner infr-red rdition pulse propgtion in biologicl tissues for medicl imging ppliction A. SAOULI

More information

Supporting Information

Supporting Information Supporting Informtion Ultrfst nd Stble CO Cpture Using Alkli Metl Slt-Promoted MgO-CCO 3 Sorbents Hongjie Cui, Qiming Zhng, Yunwu Hu, Chong Peng, Xingchen Fng, Zhenmin Cheng, Vldimir V. Glvit nd Zhiming

More information

Math 520 Final Exam Topic Outline Sections 1 3 (Xiao/Dumas/Liaw) Spring 2008

Math 520 Final Exam Topic Outline Sections 1 3 (Xiao/Dumas/Liaw) Spring 2008 Mth 520 Finl Exm Topic Outline Sections 1 3 (Xio/Dums/Liw) Spring 2008 The finl exm will be held on Tuesdy, My 13, 2-5pm in 117 McMilln Wht will be covered The finl exm will cover the mteril from ll of

More information

New data structures to reduce data size and search time

New data structures to reduce data size and search time New dt structures to reduce dt size nd serch time Tsuneo Kuwbr Deprtment of Informtion Sciences, Fculty of Science, Kngw University, Hirtsuk-shi, Jpn FIT2018 1D-1, No2, pp1-4 Copyright (c)2018 by The Institute

More information

Vibrational Relaxation of HF (v=3) + CO

Vibrational Relaxation of HF (v=3) + CO Journl of the Koren Chemicl Society 26, Vol. 6, No. 6 Printed in the Republic of Kore http://dx.doi.org/.52/jkcs.26.6.6.462 Notes Vibrtionl Relxtion of HF (v3) + CO Chng Soon Lee Deprtment of Chemistry,

More information

Determination of the activation energy of silicone rubbers using different kinetic analysis methods

Determination of the activation energy of silicone rubbers using different kinetic analysis methods Determintion of the ctivtion energy of silicone rubbers using different kinetic nlysis methods OU Huibin SAHLI ohmed BAIEE Thierry nd GELIN Jen-Clude FETO-ST Institute / Applied echnics Deprtment, 2 rue

More information

13: Diffusion in 2 Energy Groups

13: Diffusion in 2 Energy Groups 3: Diffusion in Energy Groups B. Rouben McMster University Course EP 4D3/6D3 Nucler Rector Anlysis (Rector Physics) 5 Sept.-Dec. 5 September Contents We study the diffusion eqution in two energy groups

More information

Fundamentals of Analytical Chemistry

Fundamentals of Analytical Chemistry Homework Fundmentls of nlyticl hemistry hpter 9 0, 1, 5, 7, 9 cids, Bses, nd hpter 9(b) Definitions cid Releses H ions in wter (rrhenius) Proton donor (Bronsted( Lowry) Electron-pir cceptor (Lewis) hrcteristic

More information

Measuring Electron Work Function in Metal

Measuring Electron Work Function in Metal n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7-318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd

More information

DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING MOMENT INTERACTION AT MICROSCALE

DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING MOMENT INTERACTION AT MICROSCALE Determintion RevAdvMterSci of mechnicl 0(009) -7 properties of nnostructures with complex crystl lttice using DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING

More information

Period #2 Notes: Electronic Structure of Atoms

Period #2 Notes: Electronic Structure of Atoms Period # Notes: Electronic Structure of Atoms The logicl plce (for civil engineers) to begin in describing mterils is t the tomic scle. The bsic elements of the tom re the proton, the neutron, nd the electron:

More information

Minimum Energy State of Plasmas with an Internal Transport Barrier

Minimum Energy State of Plasmas with an Internal Transport Barrier Minimum Energy Stte of Plsms with n Internl Trnsport Brrier T. Tmno ), I. Ktnum ), Y. Skmoto ) ) Formerly, Plsm Reserch Center, University of Tsukub, Tsukub, Ibrki, Jpn ) Plsm Reserch Center, University

More information

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations ME 3600 Control ystems Chrcteristics of Open-Loop nd Closed-Loop ystems Importnt Control ystem Chrcteristics o ensitivity of system response to prmetric vritions cn be reduced o rnsient nd stedy-stte responses

More information

Rel Gses 1. Gses (N, CO ) which don t obey gs lws or gs eqution P=RT t ll pressure nd tempertures re clled rel gses.. Rel gses obey gs lws t extremely low pressure nd high temperture. Rel gses devited

More information

Part I: Basic Concepts of Thermodynamics

Part I: Basic Concepts of Thermodynamics Prt I: Bsic Concepts o Thermodynmics Lecture 4: Kinetic Theory o Gses Kinetic Theory or rel gses 4-1 Kinetic Theory or rel gses Recll tht or rel gses: (i The volume occupied by the molecules under ordinry

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

More information

THREE-DIMENSIONAL KINEMATICS OF RIGID BODIES

THREE-DIMENSIONAL KINEMATICS OF RIGID BODIES THREE-DIMENSIONAL KINEMATICS OF RIGID BODIES 1. TRANSLATION Figure shows rigid body trnslting in three-dimensionl spce. Any two points in the body, such s A nd B, will move long prllel stright lines if

More information

A Study of thethermal C-C and C-H Bond Cleavage in the Aromatic Molecules: Acenaphthene and Acenaphthylene

A Study of thethermal C-C and C-H Bond Cleavage in the Aromatic Molecules: Acenaphthene and Acenaphthylene JJC Jordn Journl of Chemistry Vol. 7 No.4, 2012, pp. 329-337 A Study of thetherml C-C nd C-H Bond Clevge in the Aromtic Molecules: Acenphthene nd Acenphthylene Muthn Shnshl nd Hssn H. Abdullh Deprtment

More information

Cu 3 (PO 4 ) 2 (s) 3 Cu 2+ (aq) + 2 PO 4 3- (aq) circle answer: pure water or Na 3 PO 4 solution This is the common-ion effect.

Cu 3 (PO 4 ) 2 (s) 3 Cu 2+ (aq) + 2 PO 4 3- (aq) circle answer: pure water or Na 3 PO 4 solution This is the common-ion effect. CHEM 1122011 NAME: ANSWER KEY Vining, Exm # SHORT ANSWER QUESTIONS ============= 4 points ech ============ All work must be shown. 1. Wht re [H O ] nd [OH ] for solution tht hs ph of 9.0? Choose one. ()

More information

AQA Chemistry Paper 2

AQA Chemistry Paper 2 AQA hemistry Pper 2 1.1 A student is plnning n investigtion into how the concentrtion of hydrochloric cid ffects the rte of the rection with mrle chips. Wht is the independent vrile? Tick one ox. (1 mrk)

More information

The Thermodynamics of Aqueous Electrolyte Solutions

The Thermodynamics of Aqueous Electrolyte Solutions 18 The Thermodynmics of Aqueous Electrolyte Solutions As discussed in Chpter 10, when slt is dissolved in wter or in other pproprite solvent, the molecules dissocite into ions. In queous solutions, strong

More information

13.4 Work done by Constant Forces

13.4 Work done by Constant Forces 13.4 Work done by Constnt Forces We will begin our discussion of the concept of work by nlyzing the motion of n object in one dimension cted on by constnt forces. Let s consider the following exmple: push

More information

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler)

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler) CHE 309: Chemicl Rection Engineering Lecture-8 Module 2: Rte Lw & Stoichiomtery (Chpter 3, Fogler) Topics to be covered in tody s lecture Thermodynmics nd Kinetics Rection rtes for reversible rections

More information

Determination of Anions in Acid Rain by Ion Chromatography

Determination of Anions in Acid Rain by Ion Chromatography Appliction Updte 16 Determintion of Anions in Acid Rin by Ion Chromtogrphy INTRODUCTION The increse in cidity of wet nd dry tmospheric depositions hs been ttributed to the increse of SO 2 nd NO 2 emissions

More information

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018 Physics 201 Lb 3: Mesurement of Erth s locl grvittionl field I Dt Acquisition nd Preliminry Anlysis Dr. Timothy C. Blck Summer I, 2018 Theoreticl Discussion Grvity is one of the four known fundmentl forces.

More information

Riemann Sums and Riemann Integrals

Riemann Sums and Riemann Integrals Riemnn Sums nd Riemnn Integrls Jmes K. Peterson Deprtment of Biologicl Sciences nd Deprtment of Mthemticl Sciences Clemson University August 26, 2013 Outline 1 Riemnn Sums 2 Riemnn Integrls 3 Properties

More information

Experiment 9: WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION

Experiment 9: WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Experiment 9: WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Purpose: Prt I: The cid ioniztion constnt of wek cid is to be determined, nd the cid is identified ccordingly. Prt II: The

More information

Rates of chemical reactions

Rates of chemical reactions Rtes of chemicl rections Mesuring rtes of chemicl rections Experimentl mesuring progress of the rection Monitoring pressure in the rection involving gses 2 NO( g) 4 NO ( g) + O ( g) 2 5 2 2 n(1 α) 2αn

More information

Organic Acids - Carboxylic Acids

Organic Acids - Carboxylic Acids Orgnic Acids - rboxylic Acids Orgnic cids - crboxylic cid functionl group rboxylic cids re redily deprotonted by bses such s NO eg 3 O O - + O - + O 3 O O Acid Bse onjugte Bse onjugte Acid This rection

More information

Chem 130 Third Exam. Total /100

Chem 130 Third Exam. Total /100 Nme Chem 130 Third Exm On the following pges you will find eight questions covering vries topics rnging from precipittion solubility, cid bse, nd oxidtion reduction rections to metl lignd complexes nd

More information

Part 1. Normal Saturated Fatty Acids

Part 1. Normal Saturated Fatty Acids MASS SPECTRA OF METHYL ESTERS OF FATTY ACIS Prt 1. Norml Sturted Ftty Acids Methyl esters re by fr the most widely used ftty cid derivtives for nlysis in CH3 OOC generl, nd gret del of informtion is vilble

More information

Preliminary Design of Semi-Batch Reactor for Synthesis 1,3-Dichloro-2-Propanol Using Aspen Plus

Preliminary Design of Semi-Batch Reactor for Synthesis 1,3-Dichloro-2-Propanol Using Aspen Plus Preliminry Design of Semi-Btch Rector for Synthesis 1,3-Dichloro-2-Propnol Using Aspen Plus Robih Yunus Herliti, A.S. Intn & Z.Z.Abidin Deprtment of Chemicl nd Environmentl Engineering, Fculty of Engineering

More information

Riemann Sums and Riemann Integrals

Riemann Sums and Riemann Integrals Riemnn Sums nd Riemnn Integrls Jmes K. Peterson Deprtment of Biologicl Sciences nd Deprtment of Mthemticl Sciences Clemson University August 26, 203 Outline Riemnn Sums Riemnn Integrls Properties Abstrct

More information

Shear and torsion interaction of hollow core slabs

Shear and torsion interaction of hollow core slabs Competitive nd Sustinble Growth Contrct Nº G6RD-CT--6 Sher nd torsion interction of hollow core slbs HOLCOTORS Technicl Report, Rev. Anlyses of hollow core floors December The content of the present publiction

More information

ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS

ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS F. Tkeo 1 nd M. Sk 1 Hchinohe Ntionl College of Technology, Hchinohe, Jpn; Tohoku University, Sendi, Jpn Abstrct:

More information

Unique Solutions R. Amazing World of Carbon Compounds. C h a p t e r. G l a n c e

Unique Solutions R. Amazing World of Carbon Compounds. C h a p t e r. G l a n c e 9. C h p t e r t G l n c e Hydrocrbons - The fundmentl orgnic compounds : All orgnic compounds contin hydrogen long with crbon. They re the fundmentl orgnic compounds lso known s "Prent" compounds. These

More information

CHAPTER 20: Second Law of Thermodynamics

CHAPTER 20: Second Law of Thermodynamics CHAER 0: Second Lw of hermodynmics Responses to Questions 3. kg of liquid iron will hve greter entropy, since it is less ordered thn solid iron nd its molecules hve more therml motion. In ddition, het

More information

Applicable Analysis and Discrete Mathematics available online at

Applicable Analysis and Discrete Mathematics available online at Applicble Anlysis nd Discrete Mthemtics vilble online t http://pefmth.etf.rs Appl. Anl. Discrete Mth. 4 (2010), 23 31. doi:10.2298/aadm100201012k NUMERICAL ANALYSIS MEETS NUMBER THEORY: USING ROOTFINDING

More information

Supporting Information. Lignin Extraction and Catalytic Upgrading from Genetically. Modified Poplar

Supporting Information. Lignin Extraction and Catalytic Upgrading from Genetically. Modified Poplar Electronic Supplementry Mteril (ESI) for Green Chemistry. This journl is The Royl Society of Chemistry 2017 Supporting Informtion Lignin Extrction nd Ctlytic Upgrding from Geneticlly Modified Poplr Ho

More information

#6A&B Magnetic Field Mapping

#6A&B Magnetic Field Mapping #6A& Mgnetic Field Mpping Gol y performing this lb experiment, you will: 1. use mgnetic field mesurement technique bsed on Frdy s Lw (see the previous experiment),. study the mgnetic fields generted by

More information

Chapter 16 Acid Base Equilibria

Chapter 16 Acid Base Equilibria Chpter 16 Acid Bse Equilibri 16.1 Acids & Bses: A Brief Review Arrhenius cids nd bses: cid: n H + donor HA(q) H(q) A(q) bse: n OH donor OH(q) (q) OH(q) Brønsted Lowry cids nd bses: cid: n H + donor HA(q)

More information

FBR Neutronics: Breeding potential, Breeding Ratio, Breeding Gain and Doubling time

FBR Neutronics: Breeding potential, Breeding Ratio, Breeding Gain and Doubling time FBR eutronics: Breeding potentil, Breeding Rtio, Breeding Gin nd Doubling time K.S. Rjn Proessor, School o Chemicl & Biotechnology SASTRA University Joint Inititive o IITs nd IISc Funded by MHRD Pge 1

More information

7/19/2011. Models of Solution Chemistry- III Acids and Bases

7/19/2011. Models of Solution Chemistry- III Acids and Bases Models of Solution Chemistry- III Acids nd Bses Ionic Atmosphere Model : Revisiting Ionic Strength Ionic strength - mesure of totl concentrtion of ions in the solution Chpter 8 1 2 i μ ( ) 2 c i z c concentrtion

More information

UNIT 1 FUNCTIONS AND THEIR INVERSES Lesson 1.4: Logarithmic Functions as Inverses Instruction

UNIT 1 FUNCTIONS AND THEIR INVERSES Lesson 1.4: Logarithmic Functions as Inverses Instruction Lesson : Logrithmic Functions s Inverses Prerequisite Skills This lesson requires the use of the following skills: determining the dependent nd independent vribles in n exponentil function bsed on dt from

More information

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2010 Homework Assignment 4; Due at 5p.m. on 2/01/10

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2010 Homework Assignment 4; Due at 5p.m. on 2/01/10 University of Wshington Deprtment of Chemistry Chemistry 45 Winter Qurter Homework Assignment 4; Due t 5p.m. on // We lerned tht the Hmiltonin for the quntized hrmonic oscilltor is ˆ d κ H. You cn obtin

More information

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases.

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases. Section 1 Section 2 The module clcultes nd plots isotherml 1-, 2- nd 3-metl predominnce re digrms. ccesses only compound dtbses. Tble of Contents Tble of Contents Opening the module Section 3 Stoichiometric

More information

TANDEM QUEUE WITH THREE MULTISERVER UNITS AND BULK SERVICE WITH ACCESSIBLE AND NON ACCESSBLE BATCH IN UNIT III WITH VACATION

TANDEM QUEUE WITH THREE MULTISERVER UNITS AND BULK SERVICE WITH ACCESSIBLE AND NON ACCESSBLE BATCH IN UNIT III WITH VACATION Indin Journl of Mthemtics nd Mthemticl Sciences Vol. 7, No., (June ) : 9-38 TANDEM QUEUE WITH THREE MULTISERVER UNITS AND BULK SERVICE WITH ACCESSIBLE AND NON ACCESSBLE BATCH IN UNIT III WITH VACATION

More information

Supplementary Material (ESI) for Soft Matter This journal is The Royal Society of Chemistry Supplementary data

Supplementary Material (ESI) for Soft Matter This journal is The Royal Society of Chemistry Supplementary data Supplementry Mteril (ESI) for Soft Mtter This journl is The Royl Society of hemistry 009 Supplementry dt Quntifying Hydrogel Response using Lser Light Scttering. Joshu M. G. Swnn, Wim Brs b, Jonthn R.

More information

1. Weak acids. For a weak acid HA, there is less than 100% dissociation to ions. The B-L equilibrium is:

1. Weak acids. For a weak acid HA, there is less than 100% dissociation to ions. The B-L equilibrium is: th 9 Homework: Reding, M&F, ch. 15, pp. 584-598, 602-605 (clcultions of ph, etc., for wek cids, wek bses, polyprotic cids, nd slts; fctors ffecting cid strength). Problems: Nkon, ch. 18, #1-10, 16-18,

More information

Improved Results on Stability of Time-delay Systems using Wirtinger-based Inequality

Improved Results on Stability of Time-delay Systems using Wirtinger-based Inequality Preprints of the 9th World Congress he Interntionl Federtion of Automtic Control Improved Results on Stbility of ime-dely Systems using Wirtinger-bsed Inequlity e H. Lee Ju H. Prk H.Y. Jung O.M. Kwon S.M.

More information

Tests for the Ratio of Two Poisson Rates

Tests for the Ratio of Two Poisson Rates Chpter 437 Tests for the Rtio of Two Poisson Rtes Introduction The Poisson probbility lw gives the probbility distribution of the number of events occurring in specified intervl of time or spce. The Poisson

More information

CIT and QIT with a Periodic Impulsional Potential

CIT and QIT with a Periodic Impulsional Potential Adv. Studies Theor. Phys., Vol. 6, 2012, no. 6, 285-291 nd with Periodic Impulsionl Potentil S. Seddighi Chhrborj srkhosh@mth.upm.edu.my Islmic Azd University, Science nd Reserch Brnch Deprtment of Mthemtics,

More information

Math 426: Probability Final Exam Practice

Math 426: Probability Final Exam Practice Mth 46: Probbility Finl Exm Prctice. Computtionl problems 4. Let T k (n) denote the number of prtitions of the set {,..., n} into k nonempty subsets, where k n. Argue tht T k (n) kt k (n ) + T k (n ) by

More information

G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2

G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2 PRELIMINARY EXPERIMENTS OF THE NEW FACILITY AND TECHNOLOGY FOR VACUUM DRYING AND THERMAL POLIMERIZATION OF THE TURBOGENERATORS STATOR BARS INSULATION (INTEPOL) G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2

More information

A New Statistic Feature of the Short-Time Amplitude Spectrum Values for Human s Unvoiced Pronunciation

A New Statistic Feature of the Short-Time Amplitude Spectrum Values for Human s Unvoiced Pronunciation Xiodong Zhung A ew Sttistic Feture of the Short-Time Amplitude Spectrum Vlues for Humn s Unvoiced Pronuncition IAODOG ZHUAG 1 1. Qingdo University, Electronics & Informtion College, Qingdo, 6671 CHIA Abstrct:

More information

CHM Physical Chemistry I Chapter 1 - Supplementary Material

CHM Physical Chemistry I Chapter 1 - Supplementary Material CHM 3410 - Physicl Chemistry I Chpter 1 - Supplementry Mteril For review of some bsic concepts in mth, see Atkins "Mthemticl Bckground 1 (pp 59-6), nd "Mthemticl Bckground " (pp 109-111). 1. Derivtion

More information

Frobenius numbers of generalized Fibonacci semigroups

Frobenius numbers of generalized Fibonacci semigroups Frobenius numbers of generlized Fiboncci semigroups Gretchen L. Mtthews 1 Deprtment of Mthemticl Sciences, Clemson University, Clemson, SC 29634-0975, USA gmtthe@clemson.edu Received:, Accepted:, Published:

More information

4.4 Areas, Integrals and Antiderivatives

4.4 Areas, Integrals and Antiderivatives . res, integrls nd ntiderivtives 333. Ares, Integrls nd Antiderivtives This section explores properties of functions defined s res nd exmines some connections mong res, integrls nd ntiderivtives. In order

More information

Jack Simons, Henry Eyring Scientist and Professor Chemistry Department University of Utah

Jack Simons, Henry Eyring Scientist and Professor Chemistry Department University of Utah 1. Born-Oppenheimer pprox.- energy surfces 2. Men-field (Hrtree-Fock) theory- orbitls 3. Pros nd cons of HF- RHF, UHF 4. Beyond HF- why? 5. First, one usully does HF-how? 6. Bsis sets nd nottions 7. MPn,

More information

FTIR and Mass-Spectrometric Measurements of the Rate Constant for the C 6 H 5 + H 2 Reaction

FTIR and Mass-Spectrometric Measurements of the Rate Constant for the C 6 H 5 + H 2 Reaction J. Phys. Chem. A 1997, 101, 8839-8843 8839 FTIR nd Mss-Spectrometric Mesurements of the Rte Constnt for the C 6 H 5 + H 2 Rection J. Prk, I. V. Dykov, nd M. C. Lin* Deprtment of Chemistry, Emory UniVersity,

More information

ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER /2019

ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER /2019 ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS MATH00030 SEMESTER 208/209 DR. ANTHONY BROWN 7.. Introduction to Integrtion. 7. Integrl Clculus As ws the cse with the chpter on differentil

More information

Poly(vinylamine) Microgels: ph-responsive Particles with High Primary Amine Contents

Poly(vinylamine) Microgels: ph-responsive Particles with High Primary Amine Contents SUPPLEMENTARY INFORMATION Poly(vinylmine) Microgels: ph-responsive Prticles with High Primry Amine Contents Sineent Thioonro, Cory Berkln, Amir H. Milni, Rein Ulijn c n Brin R. Suners, * Polymer Science

More information

Silicon Nanowire Based Single-Molecule SERS Sensor

Silicon Nanowire Based Single-Molecule SERS Sensor Supporting informtion Silicon Nnowire Bsed Single-Molecule SERS Sensor Hui Wng, Xuemei Hn, Xuemei Ou, Chun-Sing Lee, Xiohong Zhng* nd Shuit-Tong Lee S1, A series of Si nnowires coted with compct ggregtes

More information

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies Stte spce systems nlysis (continued) Stbility A. Definitions A system is sid to be Asymptoticlly Stble (AS) when it stisfies ut () = 0, t > 0 lim xt () 0. t A system is AS if nd only if the impulse response

More information

STRUCTURAL AND MAGNETIC PROPERTIES OF Fe/Si x Fe 1! x MULTILAYERS

STRUCTURAL AND MAGNETIC PROPERTIES OF Fe/Si x Fe 1! x MULTILAYERS MOLECULAR PHYSICS REPORTS 0 (00) 8-86 STRUCTURAL AND MAGNETIC PROPERTIES OF Fe/ x Fe! x MULTILAYERS P. WANDZIUK, M. KOPCEWICZ, B. SZYMAŃSKI, AND T. LUCIŃSKI Institute of Moleculr Physics, Polish Acdemy

More information

Chapter 4 Contravariance, Covariance, and Spacetime Diagrams

Chapter 4 Contravariance, Covariance, and Spacetime Diagrams Chpter 4 Contrvrince, Covrince, nd Spcetime Digrms 4. The Components of Vector in Skewed Coordintes We hve seen in Chpter 3; figure 3.9, tht in order to show inertil motion tht is consistent with the Lorentz

More information

SUMMER KNOWHOW STUDY AND LEARNING CENTRE

SUMMER KNOWHOW STUDY AND LEARNING CENTRE SUMMER KNOWHOW STUDY AND LEARNING CENTRE Indices & Logrithms 2 Contents Indices.2 Frctionl Indices.4 Logrithms 6 Exponentil equtions. Simplifying Surds 13 Opertions on Surds..16 Scientific Nottion..18

More information

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2009

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2009 University of Wshington Deprtment of Chemistry Chemistry Winter Qurter 9 Homework Assignment ; Due t pm on //9 6., 6., 6., 8., 8. 6. The wve function in question is: ψ u cu ( ψs ψsb * cu ( ψs ψsb cu (

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 2

PHYS Summer Professor Caillault Homework Solutions. Chapter 2 PHYS 1111 - Summer 2007 - Professor Cillult Homework Solutions Chpter 2 5. Picture the Problem: The runner moves long the ovl trck. Strtegy: The distnce is the totl length of trvel, nd the displcement

More information

LECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry

LECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry LECTURE 14 Dr. Teres D. Golden University of North Texs Deprtment of Chemistry Quntittive Methods A. Quntittive Phse Anlysis Qulittive D phses by comprison with stndrd ptterns. Estimte of proportions of

More information

Songklanakarin Journal of Science and Technology SJST R1 Thongchan. A Modified Hyperbolic Secant Distribution

Songklanakarin Journal of Science and Technology SJST R1 Thongchan. A Modified Hyperbolic Secant Distribution A Modified Hyperbolic Secnt Distribution Journl: Songklnkrin Journl of Science nd Technology Mnuscript ID SJST-0-0.R Mnuscript Type: Originl Article Dte Submitted by the Author: 0-Mr-0 Complete List of

More information

a < a+ x < a+2 x < < a+n x = b, n A i n f(x i ) x. i=1 i=1

a < a+ x < a+2 x < < a+n x = b, n A i n f(x i ) x. i=1 i=1 Mth 33 Volume Stewrt 5.2 Geometry of integrls. In this section, we will lern how to compute volumes using integrls defined by slice nlysis. First, we recll from Clculus I how to compute res. Given the

More information

A signalling model of school grades: centralized versus decentralized examinations

A signalling model of school grades: centralized versus decentralized examinations A signlling model of school grdes: centrlized versus decentrlized exmintions Mri De Pol nd Vincenzo Scopp Diprtimento di Economi e Sttistic, Università dell Clbri m.depol@unicl.it; v.scopp@unicl.it 1 The

More information

Density Functional and Ab Initio Study of Cr(CO) n (n ) 1-6) Complexes

Density Functional and Ab Initio Study of Cr(CO) n (n ) 1-6) Complexes J. Phys. Chem. A 2007,, 4697-470 4697 Density Functionl nd Ab Initio Study of Cr(CO) n (n ) -6) Complexes Joonghn Kim, Te Kyu Kim, Jngbe Kim, Yoon Sup Lee, nd Hyotcherl Ihee* Deprtment of Chemistry nd

More information

20 MATHEMATICS POLYNOMIALS

20 MATHEMATICS POLYNOMIALS 0 MATHEMATICS POLYNOMIALS.1 Introduction In Clss IX, you hve studied polynomils in one vrible nd their degrees. Recll tht if p(x) is polynomil in x, the highest power of x in p(x) is clled the degree of

More information

NUMERICAL ANALYSIS MEETS NUMBER THEORY: USINGROOTFINDINGMETHODSTOCALCULATE INVERSES MOD p n

NUMERICAL ANALYSIS MEETS NUMBER THEORY: USINGROOTFINDINGMETHODSTOCALCULATE INVERSES MOD p n Applicble Anlysis nd Discrete Mthemtics vilble online t http://pefmth.etf.bg.c.yu Appl. Anl. Discrete Mth. x (xxxx), xxx xxx. doi:10.2298/aadmxxxxxxxx NUMERICAL ANALYSIS MEETS NUMBER THEORY: USINGROOTFINDINGMETHODSTOCALCULATE

More information

Evaluation of Opiate Separation by High-Resolution Electrospray Ionization-Ion Mobility Spectrometry/ Mass Spectrometry

Evaluation of Opiate Separation by High-Resolution Electrospray Ionization-Ion Mobility Spectrometry/ Mass Spectrometry Anl. Chem. 2001, 73, 1664-1669 Evlution of Opite Seprtion by High-Resolution Electrospry Ioniztion-Ion Mobility Spectrometry/ Mss Spectrometry Lur M. Mtz nd Herbert H. Hill, Jr.* Deprtment of Chemistry,

More information

Two-Component Supramolecular Metallogels with the Presence of Pt---Pt Metal Metal Interactions

Two-Component Supramolecular Metallogels with the Presence of Pt---Pt Metal Metal Interactions Electronic Supplementry Mteril (ESI) for Chemicl Communictions. This journl is The Royl Society of Chemistry 2018 Two-Component Suprmoleculr Metllogels with the Presence of Pt---Pt Metl Metl Interctions

More information

The Influence of Interface and Semiconductor Bulk Traps Generated Under HEFS on MOSFET`s Electrical Characteristics

The Influence of Interface and Semiconductor Bulk Traps Generated Under HEFS on MOSFET`s Electrical Characteristics Proceedings of the 5th Smll Systems Simultion Symposium 2014, Niš, Seri, 12th-14th Ferury 2014 The Influence of Interfce nd Semiconductor Bulk Trps Generted Under HEFS on MOSFET`s Electricl Chrcteristics

More information

Reversals of Signal-Posterior Monotonicity for Any Bounded Prior

Reversals of Signal-Posterior Monotonicity for Any Bounded Prior Reversls of Signl-Posterior Monotonicity for Any Bounded Prior Christopher P. Chmbers Pul J. Hely Abstrct Pul Milgrom (The Bell Journl of Economics, 12(2): 380 391) showed tht if the strict monotone likelihood

More information

A Signal-Level Fusion Model for Image-Based Change Detection in DARPA's Dynamic Database System

A Signal-Level Fusion Model for Image-Based Change Detection in DARPA's Dynamic Database System SPIE Aerosense 001 Conference on Signl Processing, Sensor Fusion, nd Trget Recognition X, April 16-0, Orlndo FL. (Minor errors in published version corrected.) A Signl-Level Fusion Model for Imge-Bsed

More information

Acceptance Sampling by Attributes

Acceptance Sampling by Attributes Introduction Acceptnce Smpling by Attributes Acceptnce smpling is concerned with inspection nd decision mking regrding products. Three spects of smpling re importnt: o Involves rndom smpling of n entire

More information

Photochemistry of reaction intermediates

Photochemistry of reaction intermediates Pure &AppL Chem., Vol. 58, No. 9, pp. 1273 1278, 1986. Printed in Gret Britin. 1986 IUPAC Photochemistry of rection intermedites J.c. Sclno nd Lind J. Johnston Division of Chemistry, Ntionl Reserch Council

More information

1 Online Learning and Regret Minimization

1 Online Learning and Regret Minimization 2.997 Decision-Mking in Lrge-Scle Systems My 10 MIT, Spring 2004 Hndout #29 Lecture Note 24 1 Online Lerning nd Regret Minimiztion In this lecture, we consider the problem of sequentil decision mking in

More information

Research Article Moment Inequalities and Complete Moment Convergence

Research Article Moment Inequalities and Complete Moment Convergence Hindwi Publishing Corportion Journl of Inequlities nd Applictions Volume 2009, Article ID 271265, 14 pges doi:10.1155/2009/271265 Reserch Article Moment Inequlities nd Complete Moment Convergence Soo Hk

More information