AES and XPS characterization of TiN layers formed and modified by ion implantation
|
|
- Derrick Bishop
- 5 years ago
- Views:
Transcription
1 Semiconductor Physics, Quntum Electronics & ptoelectronics V. 2, N 3. P PACS: 85.4.L; T; L AES nd XPS chrcteriztion of TiN lyers formed nd modified y ion implnttion V. Melnik, V. Popov, D. Kruger*,. eremok Institute of Semiconductor Physics, NAS of Ukrine 45, prospect Nuki, Kyiv, Ukrine. Tel/Fx: (3844) * Institute of Semiconductor Physics, Wlter-Korsing-Str.2, 1523 Frnkfurt (der) Germny. Tel. (49335) Fx. (49335) Astrct. Compositionl chrcteriztion of sputtered nd implnted titnium nitride (TiN) lyers for microelectronics ppliction is performed sed on Auger Electron Spectroscopy (AES) nd X-ry induced Photoelectron Spectroscopy (XPS) dt. AES shows strong overlpping of the most intensive peks of Ti nd N. A simple empiricl method using intensity reltions of Auger spectr is developed for quick estimtion of lyer composition in smll res. Defined modifiction of the TiN lyers ws relized y mens of cron nd oxygen implnttion to study their influence on quntittive nlysis. In difference to stndrd AES nlysis the results of quntifiction using the method proposed re found to e in good greement with XPS profiles nd with results from Principl Component Anlysis (PCA), where pek overlpping is excluded. The influence of oxygen ws found to e crucil for stndrd AES nlysis ut it could e tken into ccount in the proposed method. High cron concentrtions show no significnt influence on the Ti nd N pek shpes. Keywords: ion implnttion, titnium nitride, uger electron spectroscopy, X-Ry photoelectron spectroscopy, component nlysis, microelectronics, optoelectronics. Pper received ; revised mnuscript received ; ccepted for puliction Introduction 1999, Institute of Semiconductor Physics, Ntionl Acdemy of Sciences of Ukrine Titnium nitride films re perspective in wide re of pplictions, rnging from hrd nd corrosion resistnt cotings [1] to diffusion rrier lyers for dvnced electronic devices [2-4]. Different formtion techniques such s physicl or chemicl vpor deposition, nd mgnetron sputtering hve een pplied. During the lst few yers the use of ion implnttion for the formtion of TiN ttrcts ttention [5]. The modifiction of composition, microstructure nd strin in these lyers is under investigtion to optimize their properties. Therefore, strong need for lterlly resolved quntittive chrcteriztion rises. For lrge structures in the 1 2 mm 2 rnge X-ry induced Photoelectron Spectroscopy (XPS) with its high energy resolution llows to seprte the peks of the elements in the spectr nd to perform compositionl nd chemicl quntifiction. However, for nlyzing su-micron res nd smll defects in semiconductor metlliztion structures only Auger Electron Spectroscopy (AES) seems to stisfy the resolution requirements of the SEMATECH Metrology Rodmp [6]. Two min fctors hinder the Auger qulittive nd quntittive nlysis of TiN lyers. Firstly, the Ti LMM pek overlps the N KLL pek t pproximtely 387 ev kinetic energy which is the predominnt trnsition of nitrogen. This overlp is so severe tht the peks re completely superimposed. Secondly the line shpe depends on chemicl onding in the Ti compounds, giving rise to dditionl errors in quntittive nlysis. The Trget Fctor Anlysis (TFA) [7] nd the method used t Chrles Evns Assocition [8] re sophisticted exmples for quntittive nlysis. The ppliction of these methods requires the specificlly equipment nd softwre, which is not lwys ccessile. In the given work we present AES nd XPS chrcteriztion of sputtered TiN films nd nneled TiN lyers formed nd modified y mens of high dose ion implnttion. A simple empiricl method, sed on intensity reltions of the AES peks is developed nd proposed for quick estimtion of lyer composition. Into some of these lyers cron nd oxygen (the impurity which usully re found with the nlysis) were dditionlly implnted to study their influence on quntittive nlysis. The results of AES quntifiction re compred with XPS profiles nd results from Principl Component Anlysis (PCA). 2. Experimentl detils To investigte the formtion of nneled TiN lyers we implnted N + ions t room temperture nd t 5 C into me- 81
2 V. Melnik et l.: AES nd XPS chrcteriztion of TiN lyers... chniclly polished Ti smples nd sputter deposited Ti lyers on Si sustrtes. An implnttion energy E = 1 kev nd dose in the rnge of cm -2 to cm -2 were chosen. Thin TiN films (3 nm - 1 nm) deposited on Si y mens of mgnetron sputtering in N 2 -tmosphere, nd TiN/TiSi /Si structures were lso used for comprison. AES nd XPS depth profiles were mesured to determine the lyer composition. The sic Auger nlyses were crried out using 1 kev, 1 na electron em with em dimeter of out 5 nm on the «PHI 67» instlltion. For definition of universlity of offered method some prt of mesurements were crried out on instlltion 9-ÈÎÑ-5 with difffering technicl prmeters using 3keV, 1mA electron em with em dimeter of out 1 µm. The XPS dt were otined using monochromtic AlK ( ev) X-rys. For sputter depth profiling we used 4 kev Ar + em rstered over 1.5 x 1.5 mm 2 (PHI67), 2,5 kev Ar + em rstered over 2 x 3.5 mm 2 (9-ÎÑ-5) for AES nd over 4x4 mm 2 for XPS. Lterlly resolved AES mesurements were performed to chrcterize sumicron TiN metlliztion defects. XPS quntifiction hs een performed using sensitivity fctors clirted y mens of stoichiometric TiN lyers. 3. Results nd discussion Fig.1 shows the results of AES pek shpe mesurements on reference smples of the min Auger trnsitions of Ti in Ti, Ti x, TiN y, TiSi z. The most intense peks re the LMM nd LMV trnsitions ner 387 ev nd 42 ev; intensities of tht re designted s Ti(1) nd Ti(2), respectively. With the emission of vlence electrons the LMV line is sensitive to chemicl onding, which results in splitting of the oxide nd nitride lines. Chnges in pek shpe occur lso for the LMM line. The indicted spectr cn serve s fingerprints for informtion out composition nd phse. Additionl informtion cn e extrcted from the Ti-LVV pek t 27 ev (not shown) nd the Ti-LMM pek t 451 ev which re not influenced y the N-KLL (385 ev) pek. The pek-to-pek heights (PPH) of the intense peks Ti(1) nd Ti(2), otined from smples with different composition cn e used s reltive nd pproximte mesure of the depth distriution of the elements in the lyer. Fig.1 shows depth profile through TiN x / TiSi y structure, which is oxidized in the ner-surfce region. Strting from the Si sustrte plteu region is indicted y the Si nd Ti intensities. This region is relted to the TiSi y lyer formed y solid-stte rection of Ti nd Si. The next lyer contins no Si nd is chrcterized y n pproximtely constnt pek intensity of Ti(2) ut incresing the Ti(1) one, which indicts lyer with the nitrogen content incresing towrds the surfce. The surfce lyer is oxidized s cn e concluded from the oxygen profile nd the pek shpe nlysis (not shown) nd is relted to Ti z phse. Although, the rtio of the pek intensities Ti(1) (which is strongly influenced y N-KLL) nd Ti(2) cn e used for rough chrcteriztion of different Ti compounds, simple ppliction of elementl sensitivity fctors s in stndrd quntifiction techniques yields in incorrect concentrtions of such smples. Suitle dt processing re required for more ccurte nd quntittive nlysis of TiN x lyers, especilly of those contining oxygen. To fricte smples with different compositions of TiN x, high dose N implnttion into Ti ws performed. A typicl depth profile using the pek-to-pek heights (in ritrry units) for n implnttion doses of cm -2 is shown in Fig.2. Fig.2 shows the result of TRIM 98 clcultion. As it is seen from comprison of Figs 2, 2, with incresing N concentrtion the Ti(1) intensity increses wheres the Ti(2) intensity remins lmost unchnged. We determined the rtio of the PPH intensities n = Ti(2)/Ti(1) for pure Ti nd in our experimentl conditions. The intensity reltion Ti(2)/Ti(1) vries from 1.5 for pure Ti to.5 for TiN. Anlyzing the dependence of the intensity reltion Ti(2)/Ti(1) on nitrogen concentrtion, the following ex- 8 Ti1 Derivtive pek height,.u Derivtive pek height,.u Ti2 Si Kinetic energy, ev Kinetic energy, ev Fig.1. (): Auger line shpes of the Ti-LMM pek for different Ti compounds; (): Auger depth profile of TiN/TiSi/Si structure using the pek-to-pek heights of the Si-LVV, Ti-LMM, (overlpping with N-KLL), Ti-LMV, nd -KLL trnsitions. 82 SQ, 2(3), 1999
3 V. Melnik et l.: AES nd XPS chrcteriztion of TiN lyers... Derivtive pek height,.u Ti1 Ti2 C o n ce n tr tion, t. % Fig.2. (): Auger depth profile of N implnted polished Ti smple (E = 1 kev, D = cm- 2 ) using the pek-to-pek heights of the Ti-LMM, (overlpping with N-KLL), Ti-LMV, nd -KLL trnsitions; (): N concentrtion in the implnted smple clculted y mens of Equ.(1) in comprison to TRIM 98 clcultion. pression ws found empiriclly for the concentrtion rtio of N nd Ti : C N /C Ti = {[αti(1) Ti(2)]/2Ti(2)} (1) where α = Ti(2)/Ti(1) for pure Ti nd is equl to 1.5 for «PHI 67» instlltion. Eq. (1) gives simple reltionship for the determintion of N in TiN x mtrix. Fig. 2 shows the N concentrtion clculted from the depth profile in Fig.2 using Eq.(1), dditionlly to the TRIM clcultion. A good correltion is otined for the decresing prt of the profile over wide re of concentrtion rnging from out 45 t.% down to 1 t.%. However, significnt differences occur t the incresing prt of the profile ner the surfce. These differences seem to e minly relted to lrge mounts of oxygen which influence the rtio of Ti(1) nd Ti(2). The influence of oxygen on quntittive nlysis ws studied y mens of high dose oxygen implnttion into TIN x lyers. Fig.3 shows corresponding AES depth profile. As seen, the rtio of the PPH intensities Ti(2)/Ti(1) is influenced y the oxygen content. This influence is minly relted to chnges in the Ti(1) pek shpe (Ti-LMM). Fig.3 shows the influence of oxygen implnttion on the spectr. For incresing oxygen concentrtion y fctor of out 3, from 6 t.% to out 2 t.%, no significnt chnges in the PPH of the Ti(2) pek cn e detected. Therefore, the Ti(2) pek cn roughly e used for clcultion of the oxygen content in TiN lyers. With the knowledge of the oxygen influence Eq.(1) cn e used for TiN x y chrcteriztion. Fig.4 presents the results of XPS depth profile of the lyer formed y N implnttion into Ti lyer contining out 1 to 15 t.% of oxygen in the ulk of the lyer. Solid line represents the N concentrtion clculted using Eq. (1) with the ccount of the oxygen influence. Strting from this D e riv tiv e p e k h eigh t,.u. D e r iv tive p e k h e ig h t,.u. Sputter tim e, m in. Fig.3. xygen implnttion into TiN lyer on Si (E = 7 kev, D = cm -2 ): (): PPH - Auger depth profile; (): line shpes of the Ti-LMM pek for oxygen concentrtions of 6 nd 2 t.%. The rrow indictes the R p position for the implnted oxygen. SQ, 2(3),
4 V. Melnik et l.: AES nd XPS chrcteriztion of TiN lyers... C o n c e n tr tio n, t.% Nclc. N Si In ten sity,.u Fig.4. N + implnttion t 5 o C into Ti lyer on Si (E = 1 kev, D = cm -2 ): (): XPS depth profile nd clculted ( from AES) nitrogen concentrtion y mens of Eqn. (1), (): TFA nlysis using the PHI-Mtl method. profile, firstly the oxygen concentrtion ws clculted using the Ti-LMV nd -KLL peks. Susequently, the N concentrtion ws otined using Eq. (1). Now much etter correltion is otined etween the dt for N in Fig. 4 in comprison to tht chieved in Fig.2. The use of Auger spectrometers of nother tipe (9 ÈÎÑ-5) hve given the sme results within the devition no more thn 2 t.%. The ppliction of the PHI-Mtl-softwre on TIN lyers is n other possiility to tke into ccount chemicl influences on Auger spectr, which hs een demonstrted y Wtson et l. [7]. The method involves first pplying trget fctor nlysis (TFA) to seprte the Auger spectr of N in Ti nd TiN. Isoltion of the spectr of N nd Ti s TiN egins with Auger spectr recorded from TiN x smples with different composition. To compre our simple pproch with other existing methods of N quntifiction we used the TFA nlysis, too. The principl component nlysis of the Ti spectrl dt shows tht the system now cnnot e descried y two eigenvectors, third hs to e tken into ccount. From XPS results this component cn e relted to Ti z phse. These three lrgest eigenvectors were reti-ned to construct the PCA solution while the remining eigenvectors (representing spectrl noise) were discrded. The result is shown in Fig.4, good correltion to Fig.4 is found. Therefore, our proposed simple pproch cn e successfully pplied for compositionl chrcteriztion of TiN x lyers contining oxygen. An interesting technologicl result, which cn e concluded from the depth profile in Fig.4, is the evidence of oxygen out-diffusion from the region where TiN is formed towrds the surfce nd the ulk of the Ti lyer. Fig.5 shows typicl exmple of.3 µm defect nlysis y mens of AES in su-micron TiN structures. As it is seen from the superimposed line-scns, the defect is relted to Ti z inclusion into the TiN lyer. The quntifiction procedure of Eq.(1) cn esily e used to chrcterize lterl inhomogenous TiN lyer formtion in dvnced microelectronic structures. Fig.5. Filure nlysis of su-micron defects in TiN diffusion rriers: AES line scns using Ti-LMM, -KLL trnsitions. Summry A simple empiricl method sed on Auger pek intensity reltions is developed for quick estimtion of TiN, lyer composition in semiconductor structures. The results of quntifiction re found to e in good greement with XPS profiles nd results from Principl Component Anlysis (PCA). For defined compositionl modifiction of TiN the lyers were implnted using cron nd oxygen ions to study their influence on quntittive nlysis. The influence of oxygen ws found to e crucil for usul AES nlysis ut could e tken into ccount in the proposed method. High cron concentrtion shows no significnt influence on the Ti nd N pek shpes. 84 SQ, 2(3), 1999
5 V. Melnik et l.: AES nd XPS chrcteriztion of TiN lyers... References 1. Z. Yu, K. Ingw, Z. Jin, Triologicl Proporties of TiN nd TiC Films in Vcuum t High Temperture // Thin solid Films, 264(1), p.p (1995). 2. T. Hr, A. Ynnoue, H. lio, K. Inoue, G. Whiszu, Properties of Titnium Nitride Films For Brrier Metl in Aluminium hmic Contct Systems // Jpn. J. Appl. Phys., 3(7) p.p (1991). 3. P. Yin, S. Mruno,Bis Effect on the Microstructure nd Diffusion Brrier Cpility of Sputterd TiN nd Ti x N y Films // Jpn. J. Appl. Phys., 31(5A), p.p (1992). 4. M. Eizenerg, K. Littu, S. Ghnyem, M. Lio, R. Mosely, A. K. Sinh, Chemicl Vpour Deposited TiCN: New Brrier Metlliztion for Sumicron Wi nd Contct Appliction // J. Vc. Sci. Techn., A, 13(3), p.p (1995). 5. Y. Ksuke, J. otuo, S. Ngt, M. Kishimoto, Y. Fujino, S. Ymguchi, Y.Ymd, TiN Surfce Lyer Synthesis Using Ion Implnttion // Jpn. J. Appl. Phys., 34(7), p.p (1995). 6. «Metrology Rodmp: A Supplement to the Ntionl Technology Rodmp for Semiconductors», SEMATECH, Austin, TX, D. G. Wtson, W.F. Stickle, Physicl Electronics Division, Appliction Note, Chrles Evns & Assotites, Appliction Note AES -AN-4/1, 2/92 SQ, 2(3),
AMPERE CONGRESS AMPERE on Magnetic Resonance and Related Phenomena. Under the auspices of The GROUPEMENT AMPERE
AMPERE 2000 th 30 CONGRESS AMPERE on Mgnetic Resonnce nd Relted Phenomen Lison, Portugl, 23-2 July 2000 Under the uspices of The GROUPEMENT AMPERE Edited y: A.F. MARTINS, A.G. FEIO nd J.G. MOURA Sponsoring
More informationSupplementary Figure 1 Supplementary Figure 2
Supplementry Figure 1 Comprtive illustrtion of the steps required to decorte n oxide support AO with ctlyst prticles M through chemicl infiltrtion or in situ redox exsolution. () chemicl infiltrtion usully
More informationThermal Stability of Ti-C-Ni-Cr and Ti-C-Ni-Cr-Al-Si Nanocomposite Coatings
Journl of Physics: Conference Series PAPER OPEN ACCESS Therml Stility of Ti-C-Ni-Cr nd Ti-C-Ni-Cr-Al-Si Nnocomposite Cotings To cite this rticle: A V Andreev et l 2015 J. Phys.: Conf. Ser. 652 012057 View
More informationMeasuring 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 informationSTRUCTURAL 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 informationLECTURE 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 informationOn the Uncertainty of Sensors Based on Magnetic Effects. E. Hristoforou, E. Kayafas, A. Ktena, DM Kepaptsoglou
On the Uncertinty of Sensors Bsed on Mgnetic Effects E. ristoforou, E. Kyfs, A. Kten, DM Kepptsoglou Ntionl Technicl University of Athens, Zogrfou Cmpus, Athens 1578, Greece Tel: +3177178, Fx: +3177119,
More informationCALCULATED POWDER X-RAY DIFFRACTION LINE PROFILES VIA ABSORPTION
16 17 CALCULATED POWDER X-RAY DFFRACTON LNE PROFLES VA ABSORPTON Keji Liu nd Heifen Chen School of Mteril Science nd Engineering, Shnghi nstitute of Technology, Shnghi, Chin 2233 ABSTRACT We hve clculted
More informationADVANCEMENT 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 informationSUPPLEMENTARY INFORMATION
DOI: 1.138/NMAT3984 Supplementry Informtion for Improved performnce nd stility in quntum dot solr cells through nd lignment engineering Chi- Ho M. Chung 1, Ptrick R. Brown 2, Vldimir Bulović 3 & Moungi
More informationTechnical Note: Analytical sensitivity analysis of a two parameter recursive digital baseflow separation filter
Hydrol. Erth Syst. Sci., 16, 451 455, 2012 www.hydrol-erth-syst-sci.net/16/451/2012/ doi:10.5194/hess-16-451-2012 Author(s) 2012. CC Attriution 3.0 License. Hydrology nd Erth System Sciences Technicl Note:
More informationThe 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 informationSupplementary Information
Supplementry Informtion Spontneously mplified homochirl orgnic-inorgnic nno-helix complex vi self-prolifertion Hlei Zhi, Yn Qun, Li Li, Xing-Yng Liu, Xurong Xu c nd Ruikng Tng*,c Centre for Biomterils
More informationPhysics 1402: Lecture 7 Today s Agenda
1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:
More informationEstimation of the particle concentration in hydraulic liquid by the in-line automatic particle counter based on the CMOS image sensor
Glyndŵr University Reserch Online Conference Presenttion Estimtion of the prticle concentrtion in hydrulic liquid by the in-line utomtic prticle counter bsed on the CMOS imge sensor Kornilin, D.V., Kudryvtsev,
More informationLinear Systems with Constant Coefficients
Liner Systems with Constnt Coefficients 4-3-05 Here is system of n differentil equtions in n unknowns: x x + + n x n, x x + + n x n, x n n x + + nn x n This is constnt coefficient liner homogeneous system
More informationChapter 4: Techniques of Circuit Analysis. Chapter 4: Techniques of Circuit Analysis
Chpter 4: Techniques of Circuit Anlysis Terminology Node-Voltge Method Introduction Dependent Sources Specil Cses Mesh-Current Method Introduction Dependent Sources Specil Cses Comprison of Methods Source
More informationp-adic Egyptian Fractions
p-adic Egyptin Frctions Contents 1 Introduction 1 2 Trditionl Egyptin Frctions nd Greedy Algorithm 2 3 Set-up 3 4 p-greedy Algorithm 5 5 p-egyptin Trditionl 10 6 Conclusion 1 Introduction An Egyptin frction
More informationReferences and Resources:
Surfce nd Interfce Science Physics 627; Chemistry 542 Lectures 4 Feb 3, 2013 Determining Surfce Structure Diffrction methods: LEED; RHEED Rel Spce: STEM References nd Resources: Woodruff nd Delchr (2 nd
More information13: 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 informationEnhanced Photocatalytic CO 2 -Reduction Activity of Anatase TiO 2 by Coexposed {001} and {101} Facets
Supplementry Informtion for the Journl of Americn Chemicl Society The Americn Chemicl Society 04 Enhnced Photoctlytic CO -Reduction Activity of Antse TiO y Coexposed {00} nd {0} Fcets Jiguo Yu,*, Jingxing
More informationExperiment 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 informationEnergy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene
Force (kcl mol -1 Å -1 ) Energy (kcl mol -1 ) 3 1-1 - -3 Mixed Mo-only S-only Grphene 6 5 3 1 Mixed Mo-only S-only Grphene - -1-1 1 Pore xis (Å) -1 1 Pore xis (Å) Supplementry Figure 1 Energy Brriers.
More informationA study of fluid flow simulation in convergentdivergent
IOP Conference Series: Mterils Science nd Engineering PAPER OPEN ACCESS A study of fluid flow simultion in convergentdivergent nozzles To cite this rticle: I Olru 2015 IOP Conf. Ser.: Mter. Sci. Eng. 95
More informationThermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report
Therml iffusivity Pul Hughes eprtment of Physics nd Astronomy The University of nchester nchester 3 9PL Second Yer Lbortory Report Nov 4 Abstrct We investigted the therml diffusivity of cylindricl block
More informationRates 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 informationMath 1B, lecture 4: Error bounds for numerical methods
Mth B, lecture 4: Error bounds for numericl methods Nthn Pflueger 4 September 0 Introduction The five numericl methods descried in the previous lecture ll operte by the sme principle: they pproximte the
More information6. Photoionization of acridine through singlet and triplet channels
Chpter 6: Photoioniztion of cridine through singlet nd triplet chnnels 59 6. Photoioniztion of cridine through singlet nd triplet chnnels Photoioinztion of cridine (Ac) in queous micelles hs not yet een
More informationStudent Activity 3: Single Factor ANOVA
MATH 40 Student Activity 3: Single Fctor ANOVA Some Bsic Concepts In designed experiment, two or more tretments, or combintions of tretments, is pplied to experimentl units The number of tretments, whether
More informationFig. 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 informationSilicon 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 informationPatch Antennas. Chapter Resonant Cavity Analysis
Chpter 4 Ptch Antenns A ptch ntenn is low-profile ntenn consisting of metl lyer over dielectric sustrte nd ground plne. Typiclly, ptch ntenn is fed y microstrip trnsmission line, ut other feed lines such
More informationQUADRATURE is an old-fashioned word that refers to
World Acdemy of Science Engineering nd Technology Interntionl Journl of Mthemticl nd Computtionl Sciences Vol:5 No:7 011 A New Qudrture Rule Derived from Spline Interpoltion with Error Anlysis Hdi Tghvfrd
More informationModelling of chemical vapour deposition of carbon based on detailed surface chemistry
Modelling of chemicl vpour deposition of cron sed on detiled surfce chemistry Aijun Li *, Koyo Noring, Günter Schoch, Sven Lichtenerg, Olf Deutschmnn Institut für Technische Chemie und Polymerchemie, Universität
More informationDETERMINATION 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 informationNUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL
NUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL V. Bkhnov, O. Kryvook, B. Dormn Ukrinin Hydrometeorologicl Reserch Institute, Avenue of Science 37,
More informationThe 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 informationA027 Uncertainties in Local Anisotropy Estimation from Multi-offset VSP Data
A07 Uncertinties in Locl Anisotropy Estimtion from Multi-offset VSP Dt M. Asghrzdeh* (Curtin University), A. Bon (Curtin University), R. Pevzner (Curtin University), M. Urosevic (Curtin University) & B.
More informationThe Properties of Stars
10/11/010 The Properties of Strs sses Using Newton s Lw of Grvity to Determine the ss of Celestil ody ny two prticles in the universe ttrct ech other with force tht is directly proportionl to the product
More informationu( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph.
nlyzing Dmped Oscilltions Prolem (Medor, exmple 2-18, pp 44-48): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $
More informationNew 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 informationRel 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 informationPsychrometric Applications
Psychrometric Applictions The reminder of this presenttion centers on systems involving moist ir. A condensed wter phse my lso be present in such systems. The term moist irrefers to mixture of dry ir nd
More informationAN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS
AN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS A.I.Bugrov, A.D.Desitskov, H.R.Kufmn, V.K.Khrchevnikov, A.I.Morozov c, V.V.Zhurin d Moscow Institute of Rdioelectronics,
More informationTHERMAL 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 informationMAC-solutions of the nonexistent solutions of mathematical physics
Proceedings of the 4th WSEAS Interntionl Conference on Finite Differences - Finite Elements - Finite Volumes - Boundry Elements MAC-solutions of the nonexistent solutions of mthemticl physics IGO NEYGEBAUE
More informationModule 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 informationLecture 6: Diffusion and Reaction kinetics
Lecture 6: Diffusion nd Rection kinetics 1-1-1 Lecture pln: diffusion thermodynmic forces evolution of concentrtion distribution rection rtes nd methods to determine them rection mechnism in terms of the
More informationSupporting Online Material for
Correction: 1 December 007 www.sciencemg.org/cgi/content/full/318/5857/1750/dc1 Supporting Online Mteril for Mott Trnsition in VO Reveled by Infrred Spectroscopy nd Nno- Imging M. M. Qzilbsh,* M. Brehm,
More informationAn approximation to the arithmetic-geometric mean. G.J.O. Jameson, Math. Gazette 98 (2014), 85 95
An pproximtion to the rithmetic-geometric men G.J.O. Jmeson, Mth. Gzette 98 (4), 85 95 Given positive numbers > b, consider the itertion given by =, b = b nd n+ = ( n + b n ), b n+ = ( n b n ) /. At ech
More informationSatellite Retrieval Data Assimilation
tellite etrievl Dt Assimiltion odgers C. D. Inverse Methods for Atmospheric ounding: Theor nd Prctice World cientific Pu. Co. Hckensck N.J. 2000 Chpter 3 nd Chpter 8 Dve uhl Artist depiction of NAA terr
More informationOVER-DETERMINATION IN ACOUSTIC TWO-PORT DATA MEASUREMENT
OVER-DEERMINAION IN ACOUSIC WO-POR DAA MEASUREMEN Sry Allm, Hns Bodén nd Mts Åom he Mrcus Wllenerg Lortory for Sound nd Virtion Reserch Dept. of Aeronuticl nd Vehicle Engineering, KH, SE-0044 Stockholm,
More informationTemperature influence compensation in microbolometer detector for image quality enhancement
.26/qirt.26.68 Temperture influence compenstion in microolometer detector for imge qulity enhncement More info out this rticle: http://www.ndt.net/?id=2647 Astrct y M. Krupiński*, T. Sosnowski*, H. Mdur*
More informationLecture 14: Quadrature
Lecture 14: Qudrture This lecture is concerned with the evlution of integrls fx)dx 1) over finite intervl [, b] The integrnd fx) is ssumed to be rel-vlues nd smooth The pproximtion of n integrl by numericl
More informationCHAPTER 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 informationProbability Distributions for Gradient Directions in Uncertain 3D Scalar Fields
Technicl Report 7.8. Technische Universität München Probbility Distributions for Grdient Directions in Uncertin 3D Sclr Fields Tobis Pfffelmoser, Mihel Mihi, nd Rüdiger Westermnn Computer Grphics nd Visuliztion
More informationPart 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 informationNew 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 informationHigh speed machines using advanced magnetic materials analyzed by appropriate finite element models
High speed mchines using dvnced mgnetic mterils nlyzed y pproprite finite element models G. D. KALOKIRIS, A. G. KLADAS Lortory of Electricl Mchines nd Power Electronics, Electric Power Division Fculty
More informationI1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3
2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is
More information38.2. The Uniform Distribution. Introduction. Prerequisites. Learning Outcomes
The Uniform Distribution 8. Introduction This Section introduces the simplest type of continuous probbility distribution which fetures continuous rndom vrible X with probbility density function f(x) which
More informationProperties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives
Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn
More informationTests 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 informationLecture Solution of a System of Linear Equation
ChE Lecture Notes, Dept. of Chemicl Engineering, Univ. of TN, Knoville - D. Keffer, 5/9/98 (updted /) Lecture 8- - Solution of System of Liner Eqution 8. Why is it importnt to e le to solve system of liner
More informationProblem 3: Band Structure of YBa 2 Cu 3 O 7
HW 5 SSP 601-2017. here is very relistic clcultion which uses the concepts of lttice, reciprocl spce, Brillouin zone nd tight-binding pproximtion. Go over the solution nd fill up every step nd every detil
More information4.1. Probability Density Functions
STT 1 4.1-4. 4.1. Proility Density Functions Ojectives. Continuous rndom vrile - vers - discrete rndom vrile. Proility density function. Uniform distriution nd its properties. Expected vlue nd vrince of
More informationTHE INTERVAL LATTICE BOLTZMANN METHOD FOR TRANSIENT HEAT TRANSFER IN A SILICON THIN FILM
ROMAI J., v.9, no.2(2013), 173 179 THE INTERVAL LATTICE BOLTZMANN METHOD FOR TRANSIENT HEAT TRANSFER IN A SILICON THIN FILM Alicj Piseck-Belkhyt, Ann Korczk Institute of Computtionl Mechnics nd Engineering,
More informationXPS study of carboxylic acid layers on oxidized metals with reference to particulate materials
SURFACE AND INTERFACE ANALYSIS Surf. Interfce Anl. 2003; 35: 375 381 Pulished online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/si.1537 XPS study of croxylic cid lyers on oxidized
More informationTerminal Velocity and Raindrop Growth
Terminl Velocity nd Rindrop Growth Terminl velocity for rindrop represents blnce in which weight mss times grvity is equl to drg force. F 3 π3 ρ L g in which is drop rdius, g is grvittionl ccelertion,
More informationThe 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 informationProbabilistic Investigation of Sensitivities of Advanced Test- Analysis Model Correlation Methods
Probbilistic Investigtion of Sensitivities of Advnced Test- Anlysis Model Correltion Methods Liz Bergmn, Mtthew S. Allen, nd Dniel C. Kmmer Dept. of Engineering Physics University of Wisconsin-Mdison Rndll
More informationIntro to Nuclear and Particle Physics (5110)
Intro to Nucler nd Prticle Physics (5110) Feb, 009 The Nucler Mss Spectrum The Liquid Drop Model //009 1 E(MeV) n n(n-1)/ E/[ n(n-1)/] (MeV/pir) 1 C 16 O 0 Ne 4 Mg 7.7 14.44 19.17 8.48 4 5 6 6 10 15.4.41
More informationChapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses
Chpter 9: Inferences bsed on Two smples: Confidence intervls nd tests of hypotheses 9.1 The trget prmeter : difference between two popultion mens : difference between two popultion proportions : rtio of
More informationAvailable online at ScienceDirect. Procedia Engineering 172 (2017 )
Aville online t www.sciencedirect.com ScienceDirect Procedi Engineering 172 (2017 ) 218 225 Modern Building Mterils, Structures nd Techniques, MBMST 2016 Experimentl nd Numericl Anlysis of Direct Sher
More informationElectronic Supplementary Information
Electronic Supplementry Informtion Assemling cron-coted hollow α-fe 2 nnohorns on the CNT ckone for superior lithium storge cpility Corresponding uthor: Xiong Wen (Dvid) Lou* School of Chemicl nd Biomedicl
More informationEffect of acetone vapor treatment on photoluminescence of porous nc-si SiO x nanostructures
PACS 78.55.M, 79..Jv, 81..Ef Effect of cetone vpor tretment on photoluminescence of porous nc-si SiO x nnostructures I.Z. Indutnyi, K.V. Michilovsk, V.I. Min ko, P.E. Shepelivyi V. Lshkryov Institute of
More informationThin Film Scattering: Epitaxial Layers
Thin Film Scttering: Epitxil yers Arturs Vilionis GAM, Stnford University SIMES, SAC 5th Annul SSR Workshop on Synchrotron X-ry Scttering Techniques in Mterils nd Environmentl Sciences: Theory nd Appliction
More informationANALYSIS OF FAST REACTORS SYSTEMS
ANALYSIS OF FAST REACTORS SYSTEMS M. Rghe 4/7/006 INTRODUCTION Fst rectors differ from therml rectors in severl spects nd require specil tretment. The prsitic cpture cross sections in the fuel, coolnt
More informationShear 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 informationSeismic Attributes used for Reservoir Simulation: Application to a Heavy Oil Reservoir in Canada
Seismic Attriutes used for Reservoir Simultion: Appliction to Hevy Oil Reservoir in Cnd Crmen Dumitrescu* Sensor Geophysicl Ltd, Clgry, AB crmen_dumitrescu@sensorgeo.com nd Lrry Lines University of Clgry,
More information5: The Definite Integral
5: The Definite Integrl 5.: Estimting with Finite Sums Consider moving oject its velocity (meters per second) t ny time (seconds) is given y v t = t+. Cn we use this informtion to determine the distnce
More informationMATHS NOTES. SUBJECT: Maths LEVEL: Higher TEACHER: Aidan Roantree. The Institute of Education Topics Covered: Powers and Logs
MATHS NOTES The Institute of Eduction 06 SUBJECT: Mths LEVEL: Higher TEACHER: Aidn Rontree Topics Covered: Powers nd Logs About Aidn: Aidn is our senior Mths techer t the Institute, where he hs been teching
More informationState 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 informationarxiv:hep-ex/ v1 12 Sep 1998
Evidence of the φ ηπ γ decy rxiv:hep-ex/9891v1 12 Sep 1998 Astrct M.N.Achsov, V.M.Aulchenko, S.E.Bru, A.V.Berdyugin, A.V.Bozhenok, A.D.Bukin, D.A.Bukin, S.V.Burdin, T.V.Dimov, S.I.Dolinski, V.P.Druzhinin,
More informationa * a (2,1) 1,1 0,1 1,1 2,1 hkl 1,0 1,0 2,0 O 2,1 0,1 1,1 0,2 1,2 2,2
18 34.3 The Reciprocl Lttice The inverse of the intersections of plne with the unit cell xes is used to find the Miller indices of the plne. The inverse of the d-spcing etween plnes ppers in expressions
More informationRemarks to the H-mode workshop paper
2 nd ITPA Confinement Dtbse nd Modeling Topicl Group Meeting, Mrch 11-14, 2002, Princeton Remrks to the H-mode workshop pper The development of two-term model for the confinement in ELMy H-modes using
More informationReading from Young & Freedman: For this topic, read the introduction to chapter 24 and sections 24.1 to 24.5.
PHY1 Electricity Topic 5 (Lectures 7 & 8) pcitors nd Dielectrics In this topic, we will cover: 1) pcitors nd pcitnce ) omintions of pcitors Series nd Prllel 3) The energy stored in cpcitor 4) Dielectrics
More informationKey comparison BIPM.RI(I)-K2 of the air-kerma standards of the PTB, Germany and the BIPM in low-energy x-rays
Key comprison BIPM.RI(I)-K2 of the ir-kerm stndrds of the PTB, Germny nd the BIPM in low-energy x-rys D.T. Burns 1, C Kessler 1 nd L Büermnn 2 1 Bureu Interntionl des Poids et Mesures, Pvillon de Breteuil,
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION Synthesis of metl oxide with roomtemperture photoreversile phse trnsition Shin-ichi Ohkoshi 1 *, Yoshihide Tsunouchi, 1 Tomoyuki Mtsud, 1 Kzuhito Hshimoto, 2 Asuk Nmi, 1 Fumiyoshi
More informationSOUND INTENSITY PROBE CALIBRATOR FOR FIELD USE: CALCULATING THE SOUND FIELD IN THE CALIBRATOR USING BOUNDARY ELEMENT MODELLING
Pge 1 of 1 SOUND INTENSITY PROBE CALIBRATOR FOR FIELD USE: CALCULATING THE SOUND FIELD IN THE CALIBRATOR USING BOUNDARY ELEMENT MODELLING PACS REFERENCE: 43.58 Fm Ginn, Bernrd; Olsen,Erling; Cutnd,Vicente;
More informationFe = Fe + e MnO + 8H + 5e = Mn
Redox Titrtions Net trnsfer of electrons during the rection. xidtion numbers of two/more species chnge. Stisfies requirements for rections in quntittion;. lrge K b. fst rection Blncing redox rections:
More informationComparison of the Design of Flexural Reinforced Concrete Elements According to Albanian Normative
ISBN 978-93-84422-22-6 Proceedings of 2015 Interntionl Conference on Innovtions in Civil nd Structurl Engineering (ICICSE'15) Istnbul (Turkey), June 3-4, 2015 pp. 155-163 Comprison of the Design of Flexurl
More informationOperations with Polynomials
38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: How to identify the leding coefficients nd degrees of polynomils How to dd nd subtrct polynomils How to multiply polynomils
More informationSection 4: Integration ECO4112F 2011
Reding: Ching Chpter Section : Integrtion ECOF Note: These notes do not fully cover the mteril in Ching, ut re ment to supplement your reding in Ching. Thus fr the optimistion you hve covered hs een sttic
More informationAppendix 3, Rises and runs, slopes and sums: tools from calculus
Appendi 3, Rises nd runs, slopes nd sums: tools from clculus Sometimes we will wnt to eplore how quntity chnges s condition is vried. Clculus ws invented to do just this. We certinly do not need the full
More informationDensity of Energy Stored in the Electric Field
Density of Energy Stored in the Electric Field Deprtment of Physics, Cornell University c Tomás A. Aris October 14, 01 Figure 1: Digrm of Crtesin vortices from René Descrtes Principi philosophie, published
More informationChemical Behavior of Energetic Deuterium lmplanted into Silicon Carbide
J. Plsm Fusion Res. SERES, Vol.3 (2000) 337-341 Chemicl Behvior of Energetic Deuterium lmplnted into Silicon Crbide GUCH Kzunri*, MORMOTO Ysutomi, SHMADA Asko, NUDUKA Nobuo, OKUNO Kenji. NAKAMURA Hirohumir
More information1B40 Practical Skills
B40 Prcticl Skills Comining uncertinties from severl quntities error propgtion We usully encounter situtions where the result of n experiment is given in terms of two (or more) quntities. We then need
More informationFormation of Wear-Resistant TiN and (Ti1-x, Alx)N Coatings Using DC Filtered Vacuum Arc Plasma 1
Formtion of Wer-Resistnt TiN nd (Ti1-x, Alx)N Cotings Using DC Filtered Vcuum Arc Plsm 1 A.I. Rychikov, N.N. Kovl*, I.B. Stepnov, I.M. Gonchrenko*, D.O. Sivin, I.A. Rychikov, I.A. Shulepov Nucler Physics
More informationPhysics 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