Silicon-based microprocessors and memory chips with a linewidth

Size: px
Start display at page:

Download "Silicon-based microprocessors and memory chips with a linewidth"

Transcription

1 REVIEW doi: /nture10680 A role for grphene in silion-sed semiondutor devies Kinm Kim 1, Je-Young Choi 1, Tek Kim 1, Seong-Ho Cho 1 & Hyun-Jong Chung 1 As silion-sed eletronis pproh the limit of improvements to performne nd pity through dimensionl sling, ttention in the semiondutor field hs turned to grphene, single lyer of ron toms rrnged in honeyom lttie. Its high moility of hrge rriers (eletrons nd holes) ould led to its use in the next genertion of highperformne devies. is unlikely to reple silion ompletely, however, euse of the poor on/off urrent rtio resulting from its zero ndgp. But it ould e used to improve silion-sed devies, in prtiulr in high-speed eletronis nd optil modultors. lion-sed miroproessors nd memory hips with linewidth s smll s 20 nm n meet the demnd for low-power multifuntionl hips tht n proess nd store mssive mounts of heterogeneous dt. But hieving physil dimensions ner the deeper nnosle regime of 10 nm or eyond 1 is hllenge for existing tehnologies. It will require dimensionl sling using novel strutures, mterils nd proesses for omplementry metl oxide semiondutor (CMOS) devies, suh s three-dimensionl rhitetures for memory nd logi, high-κ/metl gte trnsistors, extreme ultrviolet lithogrphy nd new omputing rhitetures. Mterils suh s grphene, whih hs n extremely high hrge-rrier moility, re expeted to hve n importnt role in the dvnement of semiondutor tehnology 2 4. is monolyer of ron toms rrnged in twodimensionl honeyom lttie nd is si uilding lok of wellknown ron mterils suh s grphite, ron nnotues nd fullerene. ne grphene ws isolted y mehnil exfolition in 2004 (ref. 5), mny extrordinry properties hve een reported, suh s extremely high eletron moility 3 5. High moility rises euse eletrons n propgte without sttering over lrge distnes, perhps mirometres, euse of its redued phonon sttering. A reent poll onduted y the semiondutor industry for the Interntionl Tehnology Rodmp for Semiondutors (ITRS) nmed grphene s the mteril likely to hve the gretest impt on geometri sling, thnks to its high moility, whih is desirle in metl oxide semiondutor fieldeffet trnsistor (MOSFET) hnnels 6. Furthermore, grphene s strong intertions with photons 7 9 nd eletrohemil stility ould dd more funtions to silion-sed CMOS devies, suh s rdio-frequeny swithes nd photoni modultors. Here we onsider how grphene n e inorported into these semiondutor devies, exmine the requirements nd hllenges tht must e met, nd disuss possile solutions. Rdio-frequeny trnsistors The high moility of hrge rriers in grphene is idel for otining fst swithing nd high on urrent (I ON ). Zero ndgp indues lrge off urrent, however, so the on/off urrent rtios for grphene trnsistors re out 100 (ref. 5), muh lower thn the required for minstrem logi pplitions. But this reltively low on/off rtio is not signifint prolem for high-frequeny pplitions, suh s rdio-frequeny swithes. In generl, rdio-frequeny trnsistor performne is hrterized y two prmeters: the utoff frequeny (f T ) nd the mximum osilltion frequeny (f mx ), where f T nd f mx represent how fst hnnel urrent nd power trnsmission, respetively, re modulted y the gte. As shown in following eqution f T = 2π g m CG f T is determined y the gte pitne (C G ) nd the trnsondutne (g m ). Thus fr, the highest mesured f T hs een 300 GHz with Co 2 nnowire gtes using exfolited grphene 10. At wfer sle, 240 GHz hs een reported using epitxil grphene 11, ompred with 200 GHz using hemil vpour deposition (CVD) 12. As shown in Tle 1, even with lrger gte lengths, grphene hs demonstrted superior performne to silion 13 nd III V group ompounds s result of its high drift veloity of m s 1 (ref. 17). This mens tht f T for grphene trnsistors is pproximtely 1.42 THz for 56-nm gte 17, lthough this vlue exludes prsiti pitnes, whih would e hlved in suh ses. Another importnt prmeter for rdio-frequeny trnsistors is f mx : f mx f T (1) = (2) 2 ( g D (R G + R SD ) + 2πf T R G C G ) where g D is the hnnel ondutne, R G is the gte resistne nd R SD is the soure drin resistne. Studies hve shown lrge disrepnies in vlues etween f T nd f mx for grphene rdio-frequeny trnsistors. Previous work initilly ttriuted the disrepny to the high ontt resistne 18 nd high R G without onsidering issues inherent to the grphene film, in prtiulr the low output resistne. We expet tht the low output resistne is one of the key ftors in inresing f mx. Beuse f mx mesures trnsmitted power (I 2 R), it n e inresed y minimizing g D ttined t hnnel sturtion; this is pinh-off in most MOS trnsistors. In grphene, the pinh-off ondition, effetive for the drin sturtion, n e produed if grphene hs ndgp. More reserh to improve f mx through improvements in sturtion urrents is needed 19,20. As long s f mx remins t urrent levels, it will e diffiult to use grphene trnsistors in rdio-frequeny mplifiers. At present, they will e vlule for rdio-frequeny swithing pplitions only if f T exeeds the performne of urrent silion-sed devies. 1 Smsung Advned Institute of Tehnology (SAIT), Smsung Eletronis, Yongin-, Gyeonggi-Do , South Kore. 338 NATURE VOL NOVEMBER 2011

2 REVIEW INSIGHT Tle 1 Properties of rdio-frequeny trnsistors Trnsistor f T (GHz) f mx (GHz) L g (nm) W g Fingers g m (μm) (ms μm 1 ) Moility (m 2 V 1 s 1 ) Estimted 17 * 1, >10,000 Speifi ontt resistne (Ω μm 2 ) Mesured 12 * (ref. 23) CVD grown < Epitxil ,000 1,500 lion lion , ITRS ITRS III V InP >1,100 < , (ref. 16) InAs ,200 *Flke grphene; Trget speifition; Eletron moility; 100 nm 100 nm Ni/. L g, gte length; W g, gte width. As shown in Tle 1, the estimted f T for grphene is signifintly higher thn tht for silion. However, the experimentlly mesured f T for grphene is muh lower thn expeted. To inrese f T, moility hs to e inresed 11,12,21, for whih three ftors need to e onsidered: minimizing defets in grphene; minimizing impurities tht use sttering t the grphene hnnel gte dieletri interfe 22 ; nd reduing ontt resistne 23,24. Defets in grphene re highly dependent on the growth proess. The highest reported moility is 200,000 m 2 V 1 s 1, whih hs een otined using mehnilly exfolited grphene flkes without sustrte t temperture of 5 K (ref. 6). Moility remins within the sme order of mgnitude t elevted tempertures euse the sttering mehnism is minly used y eletron or hole puddles within the two-dimensionl grphene sheet 25. In relity, grphene flkes nnot e used for silion pplitions, so CVD or sulimtion of C will e needed, even though these might redue moility. The impurities tht use sttering t the grphene hnnel gte dieletri interfe hve een ttriuted to intertions with the underlying sustrte, suh s surfe hrge trps 26,27, interfil phonons 28 nd nnometre-sle deformtion or ripples To minimize these impurities, we propose new struture ontining ir gps, nothing-on-grphene rhiteture tht provides free-stnding ondition for grphene. On the other side of grphene is gte oxide tht does not redue the moility, suh s hexgonl oron nitride (), whih llows resonle hrge trnsport in grphene (up to 40,000 m 2 V 1 s 1 t room temperture) euse it is tomilly flt nd free of dngling onds nd hrge trps 32,33. Figure 1 shows the formtion of the nothing-on-grphene rhiteture. Copper gtes re formed through dmsene proess, long with the first metl line (M1), whih here is opper (Fig. 1). The next step is the trnsfer of nd grphene (Fig. 1). The ritil step in produing nothing-on-grphene is the formtion of ir gps etween the soure nd drin metl eletrodes; this is hieved y depositing srifiil film on the eletrodes (Fig. 1), whih is then ethed k to expose the eletrodes (Fig. 1d). A porous film is then deposited (Fig. 1d) over the eletrodes, nd the srifiil film is removed, reting the ir gps (Fig. 1e). The porous film must then e ptterned (Fig. 1f). This nothing-on-grphene rhiteture minimizes interfil sttering intertions nd thus mximizes moility. The ontt resistne of grphene is more thn 70 times higher thn tht of silion (see Tle 1). However, reduing the ontt resistne poses signifint hllenges euse of the intertions etween grphene nd different metls. shows wek inding with metls suh s opper, gold nd pltinum on their (111) surfes, where Gte oxide M1 S G Well Srifiil film dewll sper D ILD STI lion wfer d e f M4 M3 Porous film Porous film Air gp M2 Figure 1 Formtion of nothing-on-grphene rhiteture, whih minimizes the sttering of eletrons., A dmsene proess is used to rete lyer of opper metl (M1) tht funtions s the gte eletrode () for the grphene trnsistor. G, S nd D indite the gte, the soure nd the drin of the silion trnsistor, respetively, nd STI indites the shllow trenh isoltion. The well is for the seprtion of the p n doping regions., A lyer of hexgonl oron nitride () is introdued to t s gte oxide. This is tomilly flt nd lks dngling onds nd hrge trps, so it llows fst hrge trnsport. A lyer of grphene is pled over the., The soure (S1) nd drin (D1) metl eletrodes re ptterned, nd srifiil film is pled over the top. d, The srifiil film is then ethed k to revel the eletrodes, nd porous film is then deposited. e, The reminder of the srifiil film is removed through pores of the porous film, leving ir gps etween the eletrodes. f, One the nothing-on-grphene rhiteture is estlished, CMOS k end of the line proesses, inluding the ddition of further metl lyers, n omplete the iruit. ILD, interlyer dieletri. M1 ILD G S Well D STI 17 NOVEMBER 2011 VOL 479 NATURE 339

3 INSIGHT REVIEW Tle 2 On/Offurrent rtios for 20-nm logi proess Property Type 1* Type 2 Type 3 Type 4 On/Off rtio ~ ~ ~ ~ I ON (μa μm 1 ) ~800 ~1,000 ~1,100 ~1,300 All trnsistor types re needed for 20-nm silion CMOS logi iruits. *Low on urrent, highest on/ off rtio; Medium on urrent, high on/off rtio; Medium on urrent, medium on/off rtio; High on urrent, low on/off rtio. grphene preserves its nd struture 34,35. By ontrst, grphene inds strongly to nikel, olt nd plldium s their eletroni strutures re strongly intermixed 36,37. Although ontt resistne is expeted to e lower in strongly inding metls, inding strength hs een shown not to ffet resistne, s experimentl vlues for gold, nikel nd plldium re quite similr 24, This suggests tht even for strong metl grphene ontts, eletron trnsmission from the grphene region in ontt with the metl to the pristine grphene hnnel eomes diffiult. Creful studies re required to determine whether ontt resistnes hve intrinsi limittions. Even if f T is mximized, the tsk of improving f mx still remins. To omplish this, sturtion ( pinh-off ondition with ndgp) should e reted in grphene for high output resistne. When ndgp is effetively formed, grphene n e used in highspeed logi pplitions. So fr, there hve een no speifi guidelines on how wide the ndgp should e, ut this ould e inferred from the minimum I ON /I OFF rtio requirement. For notiele ndgp to e engineered t the grphene metl juntion, I OFF must e governed y the thermioni emission of rriers through the metl grphene Shottky rrier. Thus I OFF would e proportionl to exp( qφ rrier /kt), where q is the eletron hrge, φ rrier is the Shottky rrier height, k is the Boltzmnn onstnt nd T is the temperture. In ddition, ssuming tht the work funtions of grphene nd the metl re the sme, the resultnt Shottky rrier height would e E g /2, where E g is the ndgp energy. Hene the I ON /I OFF rtio would e proportionl to exp(e g /2kT). Among vrious trnsistor tehnologies of 20-nm CMOS logi produts, highspeed trnsistor requires the I ON /I OFF rtio to e three to four orders of mgnitude, whih is the lowest eptle vlue for high-performne logi pplitions (K. Kim, unpulished dt; see Tle 2). Beuse the I ON /I OFF rtio is proportionl to exp(e g /2kT), the minimum required ndgp would e 360 mev for high-speed CMOS pplitions. There is onsiderle reserh to improve the I ON /I OFF rtios of urrent grphene trnsistors: nnorion 40 42, ilyer 43 nd perforted grphene So fr, suh studies hve een unle to hieve this vlue. It might tke yers for grphene trnsistors to e used for high-speed logi, ut they ould still find use emedded in rdio-frequeny pplitions suh s low-noise mplifiers, mixers, frequeny multipliers nd resontors One grphene rdio-frequeny trnsistor n e integrted into silion CMOS, nd ssuming it hs very high f T nd liner gin, whih re usully oserved in grphene rdio-frequeny trnsistors, it will enhne the performne of low-noise nd low-distortion iruits. Furthermore, if f mx n lso e improved, its usge will extend to ll iruitry, inluding ll power-sensitive loks. Optil devies for silion photonis As well s the rdio-frequeny field, grphene ould find nother promising mrket in photonis euse it n filitte ultrwide ndwidths for ex-sle (10 18 ) omputing systems. The explosive dt growth on the Internet drives the need for ex-sle systems for lrge dt entres. Pet-sle (10 15 ) systems onsumed out 2.5 MW in 2008; simple estimte shows tht ex-sle systems will onsume out 2.5 GW, whih is uneptly high 50. Energy effiieny is therefore the next hllenge for the silion industry. lion photonis n provide ultrwide ndwidths through the multiplexing of numerous wvelengths 51,52 nd redued power onsumption. n find use here euse of its optil properties. It sors out 2.3% of norml inident light, despite only eing one tom thik Trnspreny is lmost independent of wvelength over spetr rnging from visile light to infrred euse there re twodimensionl gses of free eletrons in the gpless eletroni struture of grphene 53,56. These optil hrteristis, llied with its high eletron moility, mke grphene prime ndidte for ultrwide-ndwidth optil modultors nd photo-detetors. An optil modultor is one of the key omponents for ltering the properties of light, suh s its phse, mplitude or polriztion, y eletro-refrtion or eletro-sorption 57. Optil modultors, suh s Mh Zehnder interferometers 57,58, ring or disk resontors 59,60 nd germnium- or III V-sed eletro-sorption modultors 61,62, re sed on interferene, resonne nd ndgp sorption, respetively. Their operting spetr re usully nrrow A single sheet of grphene on silion wveguide hs reently een reported to provide n ultrfst response time 7. The internd trnsitions of photo-generted eletrons re modulted over rod spetrl rnges y drive voltge, so rodnd nd high-speed optil modultor n e implemented with grphene. This CMOS-omptile grphene optil modultor n provide exellent performne over rod operting spetr rnging from 1.35 μm to 1.60 μm, with n operting speed of 1.2 GHz, modultion effiieny of ~0.1 db μm 1 nd smll footprint of 25 μm 2 (ref. 7). Optil modultors n e further improved y inresing oth modultion depth nd operting speed using novel modultor struture, s shown in Fig. 2, in whih grphene is pled t the lotion of mximum light intensity of the ridge region in the wveguide, Figure 2 Struture of grphene-gted optil modultor., A ridge-type modultor., A uriedtype modultor. In eh se, two monolyer grphene sheets nd n sper 7 nm thik re used to seprte the wveguides, whih re mde of two different setions of silion sustrte nd polyrystlline silion (p-). The ridge is 600 nm wide, 250 nm high nd 35 μm long. The metl eletrode is loted 300 nm from the wveguide., d, Trnsverse eletri mode profiles t wvelength of 1.55 μm re shown for the ridge type () nd the uried type (d) modultor. The multilyer struture of grphene nd is overlid with the mode profiles. p- 0.5 d 0.5 p- Oxide y Distne (μm) y Distne (μm) x Distne (μm) x Distne (μm) 340 NATURE VOL NOVEMBER 2011

4 REVIEW INSIGHT wveguide Wveguide p- Detetor p- y Distne (μm) 0.6 x Distne (μm) d e f 0.6 wveguide Wveguide p- Detetor Figure 3 The struture of grphene photo-detetors with integrted wveguides., Butt-oupled photo-detetors., A longitudinl shemti is shown with n overlid longitudinl eletri field (E-field) tht shows the light trnsport from the wveguide to the detetor. The lyer of grphene is surrounded y to mximize moility., A ross-setion of the photo-detetor shown in. is pled etween the hlf-ethed wveguide nd the p- to minimize optil losses t the wveguide detetor interfe., A ross-setionl E-field profile showing good overlp with the grphene. d f, Evnesent-oupled photo-detetors. d, A longitudinl shemti is shown with n overlid longitudinl E-field profile. The E-field p- y Distne (μm) x Distne (μm) extends into the p-, enhning the intertion with grphene. e, A rosssetion of the photo-detetor shown in d. Unlike, grphene is pled ove the wveguide. f, A ross-setionl profile showing the E-field tiling upwrds to inrese the overlp with the grphene. For simpliity, longitudinl views omit the metl grids. The silion wveguide is 500 nm wide nd 200 nm high. The E-field mplitudes re lulted t wvelength of 1.3 µm. s thikness of nm nd sorption oeffiient of 301,655 m 1 (ref. 56) re used to lulte the normlized detetor lengths. The multilyer struture of grphene nd is overlid on the ross-setionl E-field profiles. mximizing the modultion depth. To this end, the ridge is omposed of two different regions, for exmple polyrystlline silion on the top nd single-rystlline silion on the ottom. New modultor strutures where dul grphene lyers re seprted y thin sper re shown in Fig. 2,. Their propgting mode profiles, whih onfirm good sptil overlp etween the light mode nd the grphene lyers, re shown in Fig. 2,d. Oxide deteriortes rrier moility in grphene, so is used s n insultor euse it llows grphene to mintin its high moility. The pitne-resistne (RC) time onstnt n e redued y repling high-resistne ulk silion with low-resistne grphene, nd y repling the gting sper with lowdieletri-onstnt. With two single sheets of grphene 600 nm wide on the wveguide, whih is 300 nm from the metl ontt nd 35 μm long (Fig. 2), the totl resistne, inluding the metl ontt, is redued from 600 Ω to 26 Ω, where the sheet resistne is 15 Ω nd the ontt resistne is 11 Ω, using unit sheet nd unit ontt resistnes for single-sheet grphene of 300 Ω per squre (Ω h 1 ) (ref. 64) nd 200 Ω μm (ref. 36), respetively. In ddition, the pitne is redued from 220 ff to 100 ff. The predited ndwidth of this highspeed modultor, f 3B = 1/2πRC, is intrinsilly suitle for 55-GHz modultion, whih is omprle to the est reported optil modultor ndwidth 63. In the ner future, it is likely tht oth inter-hip nd intr-hip interonnets for ultrwide-ndwidth dt networks will e possile using grphene. Another prime optil pplition for grphene is s photo-detetor. Extremely high ndwidth is possile euse the high rrier moility llows the ultrfst extrtion of light-generted rriers. The trnsit time-limited ndwidth is lulted to e 1.5 THz 4 t the reported sturtion rrier veloity 65. In omprison, the est results using germnium photo-detetors re round 30 GHz 66,67, nd the mximum ndwidth is expeted to e 80 GHz 68. The fesiility of grphene s photo-detetor hs een demonstrted in photo-generted urrent imging studies 69,70. A 10-GHz ndwidth stnd-lone grphene photo-detetor for optil ommunition hs reently een reported 71. However, its mximum responsivity is low (6.1 ma W 1 ) euse the detetor is designed to sor only smll perentge of norml inident light. The responsivity n e improved y integrting the wveguide with the photo-detetor euse the light grphene intertion length inreses s light propgtes long grphene s plne. In photo-detetor with n integrted wveguide, optil signls from wveguide n e trnsferred to detetor y either utt-oupled or evnesent-oupled shemes 72. In the utt-oupled sheme, the detetor nd the wveguide re diretly onneted to eh other on the sme plne, wheres in the evnesent sheme the detetor is on top of the wveguide. Our proposed pprohes for oth shemes re shown in Fig. 3 with their longitudinl nd ross-setionl eletri-field profiles. For the utt-oupling pproh (Fig. 3 ), grphene is sndwihed etween hlf-ethed silion nd polyrystlline silion to minimize light refletion t the interfe. In the evnesent-oupling pproh (Fig. 3d f), grphene is too thin to shift the light mode oming from the silion wveguide nd hrdly sors ny light. The polyrystlline silion lyer in Fig. 3 enles grphene to sor light y hnging the refrtive index suh tht the mode shifts upwrds. To determine whether these detetors ould dequtely sor light despite their extreme thinness, normlized detetor lengths for the sme sorption hve een ompred sed on detetor volume nd eletrifield intensity profiles. To hieve the sme sorption s tht of the widely used evnesent-oupled germnium detetor, the evnesent-oupled grphene detetor needs to e 3.5 times longer. In the utt-oupled se, however, the grphene detetor only needs to e 12% longer euse the grphene overlps with the highest eletri field. A further derese in detetor length n e hieved y using multilyer grphene euse the sorption inreses linerly with thikness for up to six lyers NOVEMBER 2011 VOL 479 NATURE 341

5 INSIGHT REVIEW Intensity (.u.) Intensity (.u.) D G 1,500 Rmn shift (m 1 ) 1,372 m 1 2D 2,000 2,500 3,000 1,000 1,500 2,000 2,500 3,000 Rmn shift (m 1 ) To inrese responsivity, effetive extrtion of photo-generted rriers should lso e onsidered. Beuse doping ontrol is diffiult, grphene requires different rrier-extrtion strutures from semiondutor photo-detetors. A novel system for using metl-indued, uiltin potentil hs een studied 35,69,70,74 nd the devie demonstrted 8,71. Assuming light sorption of 2.3%, out 21% rrier extrtion is estimted from 6.1 ma W 1 responsivity 71, nd up to 60% rrier extrtion n e ntiipted 69. Further struturl optimiztion nd grphene doping studies 75,76 re expeted to inrese the extrtion effiieny. Integrtion in semiondutor proesses Inorporting grphene into silion devies is hllenging, nd reful seletion of the right growth methods for the pplition is importnt. For grphene-sed hyrid silion-cmos pplitions, grphene films should e deposited on topologil surfes s determined y the devie rhiteture. There re generlly two methods of grphene deposition: epitxil growth on C(0001) y the sulimtion of silion toms 77,78, nd growth on tlyti metl films with susequent trnsfer onto trget sustrtes (CVD trnsfer) CVD trnsfer proesses hve lredy een demonstrted t wfer sles 82. This method llows grphene to e trnsferred onto ny type of mteril s long s it is flt, nd there re no limittions on proess tempertures. However, it is diffiult to void defets suh s holes, rks nd folds during the trnsfer Suh defets would e minimized if grphene ould e grown diretly on underlying mterils with topologil surfes t resonle proess tempertures. The strutures nd proess requirements of devies disussed in this Review re summrized in Fig. 5. For the rdio-frequeny trnsistor shown in Fig. 5, for exmple, grphene will e deposited on. d Ni Spphire Figure 4 Diret growth of grphene nd.,, The growth of grphene on film showing the Rmn spetrum () nd snning eletron mirosopy imge (). Sle r, 1 μm. The film ws grown on opper foil nd trnsferred to O 2 / wfer. The inset in shows grphene smple grown on 1 m 1 m film on 2 m 2 m O 2 / wfer. shows typil Rmn peks of D (1,346 m 1 ), G (1,582 m 1 ) nd 2D (2,700 m 1 ) nd homogeneous film struture with no prtiulte impurities. The G pek origintes from the douly degenerted virtionl mode of hexgonlly strutured grphene. The D pek is disorder-indued nd oserved in defetive grphene struture. The 2D pek is the seond order of the D nd., d, The growth of film on Al 2 O 3 (0001) sustrte showing the Rmn spetrum () nd trnsmission eletron mirosopy imge (d). Sle r, 2 nm. The inset in shows n smple grown on the Al 2 O 3 (0001) sustrte mesuring 1 m 2 m. The film shows typil Rmn pek t 1,372 m 1..u., ritrry units. However, growing presents hllenge euse growth ould tke ple on two or more different mterils suh s metls (usully opper) nd low-κ dieletris. The prolem is the high proessing temperture for grphene nd, whih exeeds the k-end-of-line proessing tempertures of less thn 500 C. The most sensile wy of prepring grphene nd is therefore y CVD on metl tlysts nd film trnsfer. An optil modultor with uried rhiteture (Fig. 5) requires multiple stking of grphene nd (/grphene//grphene/ ) on nd O 2. Beuse multiple trnsfers ould inrese the numer of trnsfer-relted defets, the entire film stk ould e divided into two different stks, whih would require only two-step trnsfer. The first stk would onsist of grphene/, nd the seond would e /grphene/. In this se, these stks ould e grown on tlyti metl film y CVD. For the ridge strutures shown in Fig. 5,, onforml stking of grphene nd is needed on topologil silion surfe: /grphene//grphene/ for optil modultors (Fig. 5) nd / grphene/ for the photo-detetor (Fig. 5). Beuse the trnsfer method is limited to flt surfes, trnsfer-free deposition on nontlyti surfes suh s in silion, grphene nd is required. Moreover, grphene nd depositions on non-tlyti surfes must e prepred elow 1,000 C to void struturl hnges in CMOS devies, suh s in doping profiles. There re two pprohes for the trnsfer-free deposition of grphene on non-tlyti surfes: on tlyti metl film/sustrte followed y eliminting the underlying metl 83 85, nd diretly on non-tlyti sustrtes y CVD 86,87. Both pprohes pose hllenges. In the first pproh, grphene n e torn during the elimintion of the underlying metl. The seond pproh is not pplile to CMOS strutures euse of the high growth tempertures required (ove 1,400 C). Moreover, this ltter proess produes grphene flkes nd dots, rther thn ontinuous films. Therefore, diret growth of defet-free grphene t low tempertures on non-tlyti surfes is required for CMOS integrtion. We hve demonstrted tht grphene film n e formed on lrge-re film y flow ontrol of the preursor gs. Figure 4 shows the experimentl results demonstrting tht few-lyered grphene n e diretly grown on t 1,000 C using the CVD method. growth on the non-tlyti film is enled y enhning the intertions of the preursor gs (C 2 H 2 ) with the film nd y optimizing the flow diretion s well s the pressure. This indites tht CVD hs the potentil to grow grphene on diretly; however, defets need to e minimized, nd ontrol of the numer of lyers should e improved. For growth, most studies hve foused on tlyti metl sustrtes To relize the suggested modultor nd detetor strutures, however, on non-tlyti surfes is required. We hve ttempted to deposit diretly on non-tlyti surfes suh s (001) nd Al 2 O 3 (0001) y therml CVD. The on ould not e grown t ll. However, rystlline hs een suessfully grown on Al 2 O 3. Figure 4d shows four-lyered on Al 2 O 3 t 1,000 C, hieved y ontrolling the flow kinetis where lrge mount of preursor gs flows vertilly reltive to the sustrte. These preliminry results suggest tht the kineti intertions of preursors with the sustrte, s well s the hemil retivity of surfe toms on the sustrte, re importnt ontrol prmeters. Therefore, ould e deposited on if the surfe is modified y dsorption of Al toms, enhning preursor retivity with the surfe. To integrte grphene in silion CMOS devies, diret growth of grphene on three-dimensionl strutures, simultneous deposition on vrious underlying mterils, nd low proessing tempertures re required. It will lso e importnt to pursue further work on film growth tht ould e used s dieletris in rdio-frequeny trnsistors nd s insulting mterils in optil modultors nd detetors. Indepth study of nuletion nd growth mehnisms on non-tlyti surfes will lso elerte the full reliztion of grphene-sed hyrid silion-cmos pplitions. 342 NATURE VOL NOVEMBER 2011

6 REVIEW INSIGHT Porous film Air gp Buried struture p- Ridge struture p- p- Oxide Mterils on on oth Cu nd low-κ dieletri Mterils on on oth nd O 2 on grphene Mterils on on on grphene Mterils on on on grphene Figure 5 Proposed devie strutures nd proess requirements for grphene nd films., Rdio-frequeny trnsistors hve flt surfe overge. Film growth tempertures should not exeed the k-end-of-line proessing tempertures round 500 C., Optil modultors with uried strutures lso hve flt surfe overge, wheres those with ridge strutures hve topologil surfe overge. Both types hve struturl stility even t high frition tempertures of up to 1,000 C., Photo-detetors hve ridge struture, giving them topologil surfe overge. Like optil modultors, they hve struturl stility nd re le to withstnd frition tempertures of up to 1,000 C. Outlook We hve reviewed grphene devies for possile pplitions of urrent CMOS tehnology, fousing on rdio-frequeny trnsistors, optil devies nd the deposition proesses. By tking dvntge of grphene s high rrier moility nd ultr-widend optil sorption, we hve proposed new rhitetures tht re most likely to provide the erliest pplitions: the nothing-on-grphene rhiteture for mximizing f T, the grphene-gting optil modultor nd the wveguide-integrted grphene photo-detetor. We hve lso onsidered the limittions of grphene, suh s the lk of ndgp through whih f mx n e improved nd its high ontt resistne. -sed memory hips nd miroproessors re unlikely to pper in the next few dedes. In the mentime, grphene will hve n importnt role in enhning the performne of, nd dding nlogue funtions to, silion-sed CMOS devies. However, for use in ommeril grphene devie pplitions, frition must e simple, reproduile nd omptile with existing semiondutor proesses. This implies tht mny of the urrent prties of grphene prodution will hve to e hnged drstilly. Diret growth of high-qulity grphene onto ommonly used mterils in semiondutor proesses, suh s nd O 2, would e desirle. Advnes onfined to grphene lone re proly insuffiient; new underlying mterils, suh s, nd proesses to otin suh mterils must e developed to fully mximize grphene s potentil. As interest in grphene ontinues to inrese, we re optimisti tht these tehnil issues will e resolved. The first pplition for grphene will proly e the rdio-frequeny swith, whih hs lredy shown potentil for improved performne, followed y optil modultors nd photo-detetors. The next rekthrough, when the ndgp energy n e inresed nd ontrolled, is likely to expnd the verstility of hyrid silion-cmos pplitions, mking it vitl prt of silion CMOS evolution. 1. Kim, K. From the future tehnology perspetive: hllenges nd opportunities. Teh. Digest Int. Eletron Devies Meet. 10, 1 9 (IEEE, 2010). 2. Novoselov, K. S. et l. Two-dimensionl tomi rystls. Pro. Ntl Ad. Si. USA 102, (IEEE, 2005). 3. Novoselov, K. S. et l. Two-dimensionl gs of mssless Dir fermions in grphene. Nture 438, (2005). 4. Zhng, Y. et l. Experimentl oservtion of the quntum Hll effet nd Berry s phse in grphene. Nture 438, (2005). 5. Novoselov, K. S. et l. Eletri field effet in tomilly thin ron films. Siene 306, (2004). This pper reports the disovery of grphene y deposition of grphene monolyer on silion sustrte nd the mesurement of its field effet moility to demonstrte its potentil for eletroni pplition. 6. Bolotin, K. I. et l. Ultrhigh eletron moility in suspended grphene. Solid Stte Commun. 146, (2008). 7. Liu, M. et l. A grphene-sed rodnd optil modultor. Nture 474, (2011). This pper demonstrtes n optil modultor using grphene for the first time. 8. Xi, F. et l. Ultrfst grphene photodetetor. Nture Nnotehnol. 4, (2009). 9. Geim, A. K. & Novoselov, K. S. The rise of grphene. Nture Mter. 6, (2007). 10. Lio, L. et l. High-speed grphene trnsistors with self-ligned nnowire gte. Nture 467, (2010). 11. Avouris, P. et l. -sed fst eletronis nd optoeletronis. Teh. Digest Int. Eletron Devies Meet. 10, (IEEE, 2010). 12. Lee, J. et l. RF performne of pre-ptterned lolly-emedded-kgte grphene devie. Teh. Digest Int. Eletron Devies Meet. 10, (IEEE, 2010). 13. Lee, S. et l. Reord RF performne of 45-nm SOI CMOS tehnology. Teh. Digest Int. Eletron Devies Meet (IEEE, 2007). 14. Li, R. et l. Su 50-nm InP HEMT devie with F mx greter thn 1 THz. Teh. Digest Int. Eletron Devies Meet (IEEE, 2007). 15. Kim, D.-H. et l. 30-nm InAs pseudomorphi HEMTs on n InP sustrte with urrent-gin utoff frequeny of 628 GHz. IEEE Eletron. Devie Lett. 29, (2008). 16. ngisetti, U. et l. Ultrlow resistne in situ ohmi ontts to InGAs/InP. Appl. Phys. Lett. 93, (2008). 17. Lio, L. et l. Su-100 nm hnnel length grphene trnsistors. Nno Lett. 10, (2010). This pper reports on grphene trnsistor s performne, its fesiility nd limits for rdio-frequeny pplitions, nd suggests tht grphene n outperform silion-sed rdio-frequeny trnsistors. 18. Shwierz, F. Industry-omptile grphene trnsistors. Nture 472, (2011). 19. Meri, I. et l. Chnnel length sling in grphene field-effet trnsistors studied with pulsed urrent voltge mesurements. Nno Lett. 11, (2011). 20. Meri, I. et l. field-effet trnsistors sed on oron nitride gte dieletris. Teh. Digest Int. Eletron Devies Meet. 10, (IEEE, 2010). 21. Lin, Y.-M. et l. 100-GHz Trnsistors from wfer-sle epitxil grphene. Siene 327, 662 (2010). 22. Adm, S. et l. A self-onsistent theory for grphene trnsport. Pro. Ntl Ad. Si. USA 104, (2007). 23. Roinson, J. et l. Contting grphene. Appl. Phys. Lett. 98, (2011). 24. Ngshio, N. et l. /grphene ontt s performne killer of ultrhigh moility grphene nlysis of intrinsi moility nd ontt resistne. Teh. Digest Int. Eletron Devies Meet. 9, (IEEE, 2009). 25. Bolotin, K. I. et l. Temperture-dependent trnsport in suspended grphene. Phys. Rev. Lett. 101, (2008). 26. Hwng, E. H. et l. Crrier trnsport in two-dimensionl grphene lyers. Phys. Rev. Lett. 98, (2007). 17 NOVEMBER 2011 VOL 479 NATURE 343

7 INSIGHT REVIEW 27. Nomur, K. et l. Quntum Hll ferromgnetism in grphene. Phys. Rev. Lett. 96, (2006). 28. Chen, J.-H. et l. Intrinsi nd extrinsi performne limits of grphene devies on O 2. Nture Nnotehnol. 3, (2008). 29. Isigmi, M. et l. Atomi struture of grphene on O 2. Nno Lett. 7, (2007). 30. Meyer, J. C. et l. The struture of suspended grphene sheets. Nture 446, (2007). 31. Deshpnde, A. et l. Sptilly resolved spetrosopy of monolyer grphene on O 2. Phys. Rev. B 79, (2009). 32. Den, C. R. et l. Boron nitride sustrtes for high-qulity grphene eletronis. Nture Nnotehnol. 5, (2010). 33. Xue, J. et l. Snning tunnelling mirosopy nd spetrosopy of ultr-flt grphene on hexgonl oron nitride. Nture Mter. 10, (2011). 34. Jeon, I. et l. Pssivtion of metl surfe sttes: mirosopi origin for uniform monolyer grphene y low temperture hemil vpor deposition. ACS Nno 5, (2011). 35. Giovnnetti, G. et l. Doping grphene with metl ontts. Phys. Rev. Lett. 101, (2008). 36. Xi, F. et l. The origins nd limits of metl grphene juntion resistne. Nture Nnotehnol. 6, (2011). 37. Heershe, H. B. et l. Bipolr superurrent in grphene. Nture 446, (2007). 38. Russo, S. et l. Contt resistne in grphene-sed devies. Physi E 42, (2010). 39. Grosse, K. L. et l. Nnosle Joule heting, Peltier ooling nd urrent rowding t grphene metl ontts. Nture Nnotehnol. 6, (2008). 40. Hn, M. Y., Ozyilmz, B., Zhng, Y. & Kim, P. Energy nd-gp engineering of grphene nnorions. Phys. Rev. Lett. 98, (2007). 41. Chen, Z., Lin, Y. M., Rooks, M. J. & Avouris, P. nno-rion eletronis. Physi E 40, (2007). 42. Li, X. et l. Chemilly derived, ultrsmooth grphene nnorion semiondutors. Siene 319, (2008). 43. Xi, F. et l. field-effet trnsistors with high on/off urrent rtio nd lrge trnsport nd gp t room temperture. Nno Lett. 10, (2010). 44. Kim, M. et l. Frition nd hrteriztion of lrge-re, semionduting nnoperforted grphene mterils. Nno Lett. 10, (2010). 45. Ling, X. et l. Formtion of ndgp nd sunds in grphene nnomeshes with su-10 nm rion width frited vi nnoimprint lithogrphy. Nno Lett. 10, (2010). 46. Bi, J. et l. nnomesh. Nture Nnotehnol. 5, (2010). 47. Plios, T. et l. Applitions of grphene devies in RF ommunitions. IEEE Commun. Mg. 48, ( 2010). 48. Wng, H. et l. frequeny multiplier. IEEE Eletron Devie Lett. 30, (2009). 49. Lin, Y.-M. et l. Wfer-sle grphene integrted iruit. Siene 332, (2011). 50. Benner, A. Optil interonnets for HPC. Optoeletronis Indust. Dev. Asso. Workshop (OIDA, 2011). 51. Miller, D. A. B. Devie requirements for optil interonnets to silion hips. Pro. IEEE 97, (2009). 52. Shhm, A. et l. Photoni networks-on-hip for future genertions of hip multi-proessors. IEEE Trns. Comput. 57, (2008). 53. Nirl, R. R. et l. Fine struture onstnt defines visul trnspreny of grphene. Siene 320, 1308 (2008). 54. Bonorso, F. et l. photonis nd optoeletronis. Nture Photonis 4, (2010). 55. Eigler, S. A new prmeter sed on grphene for hrterizing trnsprent, ondutive mterils. Cron 47, (2009). 56. Wng, F. et l. Gte vrile optil trnsitions in grphene. Siene 320, (2008). 57. Reed, G. T. et l. lion optil modultors. Nture Photonis 4, (2010). 58. Green, W. M. et l. Ultr-ompt, low RF power, 10 G/s silion Mh Zehnder modultor. Opt. Express 15, (2007). 59. Lio, L. et l. 40 Git/s silion optil modultor for high speed pplitions. Eletron. Lett. 43, (2007). 60. Wtts, M. R. et l. lion mirodisk modultors nd swithes. Pro. 5th IEEE Int. Conf. Group IV Photonis 4 6 (IEEE, 2008). 61. Xu, Q. et l Git/s rrier-injetion sed silion miro-ring silion modultors. Opt. Express 15, (2007). 62. Feng, N. et l. 30G Hz Ge eletro-sorption modultor integrted with 3 μm silion-on-insultor wveguide. Opt. Express 19, (2011). 63. Tng, Y. 50 G/s hyrid silion trveling wve eletrosorption modultor. Opt. Express 19, (2011). 64. Be, S. et l. Roll-to-roll prodution of 30-inh grphene films for trnsprent eletrodes. Nture Nnotehnol. 5, (2010). 65. Meri, I. et l. Current sturtion in zero-ndgp, top-gted grphene fieldeffet trnsistors. Nture Nnotehnol. 3, (2008). 66. Yin, T. et l. 31 GHz Ge n-i-p wveguide photodetetors on silion-on-insultor sustrte. Opt. Express 15, (2007). 67. Vivien, L. et l. 42 GHz p.i.n germnium photodetetor integrted in silionon-insultor wveguide. Opt. Express 17, (2009). 68. Ishikw, Y. Ner-infrred Ge photodiodes for photonis: opertion frequeny nd n pproh for the future. IEEE Photonis J. 2, (2010). 69. Prk, J. et l. Imging of photourrent genertion nd olletion in single-lyer grphene. Nno Lett. 9, (2009). 70. Xi, F. et l. Photourrent imging nd effiient photon detetion in grphene trnsistor. Nno Lett. 9, (2009). 71. Mueller, T. et l. photodetetors for high-speed optil ommunitions. Nture Photonis 4, (2010). This pper demonstrtes grphene photo-detetor in 10 Git s 1 optil dt link for the first time. 72. Assef, S. L. et l. CMOS-integrted optil reeivers for on-hip interonnets. IEEE J. Sel. Top. Qunt. Eletron. 16, (2010). 73. Csirghi, C. et l. Ryleigh imging of grphene nd grphene lyers. Nno Lett. 7, (2007). 74. Mueller, T. et l. Role of ontts in grphene trnsistors: snning photourrent study. Phys. Rev. B 79, (2009). 75. Frmer. D. B. et l. Behvior of hemilly doped grphene juntion. Appl. Phys. Lett. 94, (2009). 76. Brenner. K. et l. ngle step, omplementry doping of grphene. Appl. Phys. Lett. 96, (2010). 77. Berger, C. et l. Eletroni onfinement nd oherene in ptterned epitxil grphene. Siene 312, (2006). 78. Emtsev, K. V. et l. Towrds wfer-size grphene lyers y tmospheri pressure grphitiztion of silion ride. Nture Mter. 8, (2009). 79. Rein, A. et l. Lrge re, few-lyer grphene films on ritrry sustrtes y hemil vpor deposition. Nno Lett. 9, (2009). 80. Kim, K. S. et l. Lrge-sle pttern growth of grphene films for strethle trnsprent eletrodes. Nture 457, (2009). 81. Li, X. et l. Lrge-re synthesis of high-qulity nd uniform grphene films on opper foils. Siene 324, (2009). This report showed the possiility of growing high-qulity single lyer of grphene (more thn 95%) y CVD on opper foil. 82. Lee, Y. et l. Wfer-sle synthesis nd trnsfer of grphene films. Nno Lett. 10, (2010). 83. Levendorf, M. P. et l. Trnsfer-free th frition of single lyer grphene trnsistors. Nno Lett. 9, (2009). 84. Hofrihter, J. et l. Synthesis of grphene on silion dioxide y solid ron soure. Nno Lett. 10, (2010). 85. Ismh, A. et l. Diret hemil vpor deposition of grphene on dieletri surfes. Nno Lett. 10, (2010). 86. Prk, J. et l. Epitxil grphene growth y ron moleulr em epitxy (MBE). Adv. Mter. 22, (2010). 87. Zhng, L. et l. Ctlyst-free growth of nnogrphene films on vrious sustrtes. Nno Res. 4, (2011). 88. Song, L. et l. Lrge sle growth nd hrteriztion of tomi hexgonl oron nitride lyers. Nno Lett. 10, (2010). 89. Shi, Y. M. et l. Synthesis of few-lyer hexgonl oron nitride thin film y hemil vpor deposition. Nno Lett. 10, (2010). 90. Liu, Z. et l. Diret growth of grphene/hexgonl oron nitride stked lyers. Nno Lett. 11, (2011). Aknowledgements We thnk U.-I. Chung, H. Kim, Y. Y. Lee, S. Jeon nd S.-H. Lee for ssisting with sientifi disussions nd ontriutions. Author Informtion Reprints nd permissions informtion is ville t www. nture.om/reprints. The uthors delre no ompeting finnil interests. Reders re welome to omment on the online version of this rtile t nture. Correspondene should e ddressed to K.K. (kn_kim@smsung.om). 344 NATURE VOL NOVEMBER 2011

Supporting Information

Supporting Information tom-thik Interlyer Mde of VD-Grown Grphene Film on Seprtor for dvned thium-sulfur tteries Zhenzhen Du 1, hengkun Guo 2, njun Wng 3, jun Hu 1, Song Jin 1, Timing Zhng 1, Honghng Jin 1, Zhiki Qi 1, Sen Xin

More information

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE V.S. Gordeev, G.A. Myskov Russin Federl Nuler Center All-Russi Sientifi Reserh Institute of Experimentl Physis (RFNC-VNIIEF)

More information

SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS

SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS SECOND HARMONIC GENERATION OF Bi 4 Ti 3 O 12 FILMS IN-SITU PROBING OF DOMAIN POLING IN Bi 4 Ti 3 O 12 THIN FILMS BY OPTICAL SECOND HARMONIC GENERATION YANIV BARAD, VENKATRAMAN GOPALAN Mterils Reserh Lortory

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

Novel Fiber-Optical Refractometric Sensor Employing Hemispherically-Shaped Detection Element

Novel Fiber-Optical Refractometric Sensor Employing Hemispherically-Shaped Detection Element Novel Fier-Optil Refrtometri Sensor Employing Hemispherilly-Shped Detetion Element SERGEI KHOTIAINTSEV, VLADIMIR SVIRID Deprtment of Eletril Engineering, Fulty of Engineering Ntionl Autonomous University

More information

8 THREE PHASE A.C. CIRCUITS

8 THREE PHASE A.C. CIRCUITS 8 THREE PHSE.. IRUITS The signls in hpter 7 were sinusoidl lternting voltges nd urrents of the so-lled single se type. n emf of suh type n e esily generted y rotting single loop of ondutor (or single winding),

More information

Supporting Information. Observation of Excitonic Fine Structure in a 2D Transition Metal. Dichalcogenide Semiconductor

Supporting Information. Observation of Excitonic Fine Structure in a 2D Transition Metal. Dichalcogenide Semiconductor FWHM (ev) Normlized Intensity (. u.) Supporting Informtion Oservtion of Exitoni Fine Struture in 2D Trnsition Metl Dihlogenide Semiondutor Jingzhi Shng 1, Xionn Shen 1, Chunxio Cong 1, Nmphung Peimyoo

More information

Lecture 6. CMOS Static & Dynamic Logic Gates. Static CMOS Circuit. PMOS Transistors in Series/Parallel Connection

Lecture 6. CMOS Static & Dynamic Logic Gates. Static CMOS Circuit. PMOS Transistors in Series/Parallel Connection NMOS Trnsistors in Series/Prllel onnetion Leture 6 MOS Stti & ynmi Logi Gtes Trnsistors n e thought s swith ontrolled y its gte signl NMOS swith loses when swith ontrol input is high Peter heung eprtment

More information

Layer-by-layer assembly of two-dimensional materials into wafer-scale heterostructures

Layer-by-layer assembly of two-dimensional materials into wafer-scale heterostructures doi:1.138/nture395 Lyer-y-lyer ssemly of two-dimensionl mterils into wfer-sle heterostrutures Kium Kng 1,,3 *, Kn-Heng Lee 4,5 *, Yimo Hn 4, Hui Go 1,, Sien Xie 4,5, Dvid A. uller 4,6 & Jiwoong Prk 1,,3,5,6

More information

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35.

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35. 0.9 First ompression (0-6.3 GP) First deompression (6.3-2.7 GP) Seond ompression (2.7-35.5 GP) Seond deompression (35.5-0 GP) V/V 0 0.7 0.5 0 5 10 15 20 25 30 35 P (GP) Supplementry Figure 1 Compression

More information

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities

Appendix C Partial discharges. 1. Relationship Between Measured and Actual Discharge Quantities Appendi Prtil dishrges. Reltionship Between Mesured nd Atul Dishrge Quntities A dishrging smple my e simply represented y the euilent iruit in Figure. The pplied lternting oltge V is inresed until the

More information

H 4 H 8 N 2. Example 1 A compound is found to have an accurate relative formula mass of It is thought to be either CH 3.

H 4 H 8 N 2. Example 1 A compound is found to have an accurate relative formula mass of It is thought to be either CH 3. . Spetrosopy Mss spetrosopy igh resolution mss spetrometry n e used to determine the moleulr formul of ompound from the urte mss of the moleulr ion For exmple, the following moleulr formuls ll hve rough

More information

Generalization of 2-Corner Frequency Source Models Used in SMSIM

Generalization of 2-Corner Frequency Source Models Used in SMSIM Generliztion o 2-Corner Frequeny Soure Models Used in SMSIM Dvid M. Boore 26 Mrh 213, orreted Figure 1 nd 2 legends on 5 April 213, dditionl smll orretions on 29 My 213 Mny o the soure spetr models ville

More information

Project 6: Minigoals Towards Simplifying and Rewriting Expressions

Project 6: Minigoals Towards Simplifying and Rewriting Expressions MAT 51 Wldis Projet 6: Minigols Towrds Simplifying nd Rewriting Expressions The distriutive property nd like terms You hve proly lerned in previous lsses out dding like terms ut one prolem with the wy

More information

Lecture Notes No. 10

Lecture Notes No. 10 2.6 System Identifition, Estimtion, nd Lerning Leture otes o. Mrh 3, 26 6 Model Struture of Liner ime Invrint Systems 6. Model Struture In representing dynmil system, the first step is to find n pproprite

More information

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions MEP: Demonstrtion Projet UNIT 4: Trigonometry UNIT 4 Trigonometry tivities tivities 4. Pythgors' Theorem 4.2 Spirls 4.3 linometers 4.4 Rdr 4.5 Posting Prels 4.6 Interloking Pipes 4.7 Sine Rule Notes nd

More information

Electronic Circuits I Revision after midterm

Electronic Circuits I Revision after midterm Eletroni Ciruits I Revision fter miterm Dr. Ahme ElShfee, ACU : Fll 2018, Eletroni Ciruits I -1 / 14 - MCQ1 # Question If the frequeny of the input voltge in Figure 2 36 is inrese, the output voltge will

More information

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL P3.1 Kot Iwmur*, Hiroto Kitgw Jpn Meteorologil Ageny 1. INTRODUCTION Jpn Meteorologil Ageny

More information

(h+ ) = 0, (3.1) s = s 0, (3.2)

(h+ ) = 0, (3.1) s = s 0, (3.2) Chpter 3 Nozzle Flow Qusistedy idel gs flow in pipes For the lrge vlues of the Reynolds number typilly found in nozzles, the flow is idel. For stedy opertion with negligible body fores the energy nd momentum

More information

VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS

VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS AGRICULTURAL ENGINEERING VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS Ltvi University of Agriulture E-mil: ilze.pelee@llu.lv Astrt Use of solr energy inreses every

More information

Review Topic 14: Relationships between two numerical variables

Review Topic 14: Relationships between two numerical variables Review Topi 14: Reltionships etween two numeril vriles Multiple hoie 1. Whih of the following stterplots est demonstrtes line of est fit? A B C D E 2. The regression line eqution for the following grph

More information

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light.

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light. 1 This igrm represents the energy hnge tht ours when eletron in trnsition metl ion is exite y visile light. Give the eqution tht reltes the energy hnge ΔE to the Plnk onstnt, h, n the frequeny, v, of the

More information

3.15 NMR spectroscopy Different types of NMR There are two main types of NMR 1. C 13 NMR 2. H (proton) NMR

3.15 NMR spectroscopy Different types of NMR There are two main types of NMR 1. C 13 NMR 2. H (proton) NMR .5 NMR spetrosopy Different types of NMR There re two min types of NMR. NMR. (proton) NMR There is only round % in orgni moleules ut modern NMR mhines re sensitive enough to give full spetr for The spetr

More information

Comparing the Pre-image and Image of a Dilation

Comparing the Pre-image and Image of a Dilation hpter Summry Key Terms Postultes nd Theorems similr tringles (.1) inluded ngle (.2) inluded side (.2) geometri men (.) indiret mesurement (.6) ngle-ngle Similrity Theorem (.2) Side-Side-Side Similrity

More information

Available online at ScienceDirect. Procedia Engineering 120 (2015 ) EUROSENSORS 2015

Available online at  ScienceDirect. Procedia Engineering 120 (2015 ) EUROSENSORS 2015 Aville online t www.sienediret.om SieneDiret Proedi Engineering 10 (015 ) 887 891 EUROSENSORS 015 A Fesiility Study for Self-Osillting Loop for Three Degreeof-Freedom Coupled MEMS Resontor Fore Sensor

More information

Table of Content. c 1 / 5

Table of Content. c 1 / 5 Tehnil Informtion - t nd t Temperture for Controlger 03-2018 en Tble of Content Introdution....................................................................... 2 Definitions for t nd t..............................................................

More information

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 PYTHAGORAS THEOREM 1 1 Pythgors Theorem In this setion we will present geometri proof of the fmous theorem of Pythgors. Given right ngled tringle, the squre of the hypotenuse is equl to the sum of the

More information

SIDESWAY MAGNIFICATION FACTORS FOR STEEL MOMENT FRAMES WITH VARIOUS TYPES OF COLUMN BASES

SIDESWAY MAGNIFICATION FACTORS FOR STEEL MOMENT FRAMES WITH VARIOUS TYPES OF COLUMN BASES Advned Steel Constrution Vol., No., pp. 7-88 () 7 SIDESWAY MAGNIFICATION FACTORS FOR STEEL MOMENT FRAMES WIT VARIOUS TYPES OF COLUMN BASES J. ent sio Assoite Professor, Deprtment of Civil nd Environmentl

More information

Linear magnetoresistance due to multipleelectron scattering by low-mobility islands in an inhomogeneous conductor

Linear magnetoresistance due to multipleelectron scattering by low-mobility islands in an inhomogeneous conductor Reeived 2 Jun 212 Aepted 31 Aug 212 Pulished 2 Ot 212 DOI: 1.138/nomms216 Liner mgnetoresistne due to multipleeletron sttering y low-moility islnds in n inhomogeneous ondutor N.V. Kolov 1,2, N. Mori 3,

More information

Gate-defined quantum confinement in suspended bilayer graphene

Gate-defined quantum confinement in suspended bilayer graphene Reeived 26 Jn 212 Aepted 31 My 212 Pulished 3 Jul 212 DOI: 1.138/nomms1945 Gte-defined quntum onfinement in suspended ilyer grphene M. T. Allen 1, J. Mrtin 1, & A. Yoy 1 Quntum-onfined devies tht mnipulte

More information

AC/DC/AC Converters: Two-Level and Multilevel VSI

AC/DC/AC Converters: Two-Level and Multilevel VSI Sortes Ersmus Visit A/D/A onerters: Two-Leel nd Multileel VSI Josep Pou Antoni Aris Pge 1 Sortes Ersmus Visit Outline 1. Two-Leel Inerter 2. Multileel Inerters - sde H-Bridge Inerter - Flying-pitor Inerter

More information

Engr354: Digital Logic Circuits

Engr354: Digital Logic Circuits Engr354: Digitl Logi Ciruits Chpter 4: Logi Optimiztion Curtis Nelson Logi Optimiztion In hpter 4 you will lern out: Synthesis of logi funtions; Anlysis of logi iruits; Tehniques for deriving minimum-ost

More information

Journal of Chemical and Pharmaceutical Research, 2013, 5(12): Research Article

Journal of Chemical and Pharmaceutical Research, 2013, 5(12): Research Article Avilble online www.jopr.om Journl of Chemil nd Phrmeutil Reserh, 2013, 5(12):1283-1288 Reserh Artile ISSN : 0975-7384 CODEN(USA) : JCPRC5 Study on osion resistne of zin lloy oting of mehnil plting by eletrohemil

More information

Large-Scale Hierarchical Organization of Nanowires for Functional Nanosystems

Large-Scale Hierarchical Organization of Nanowires for Functional Nanosystems Jpnese Journl of Applied Physis Vol. 43, No. 7B, 24, pp. 4465 447 #24 The Jpn Soiety of Applied Physis Review Pper Lrge-Sle Hierrhil Orgniztion of Nnowires for Funtionl Nnosystems Dongmok WHANG 1, Song

More information

University of Sioux Falls. MAT204/205 Calculus I/II

University of Sioux Falls. MAT204/205 Calculus I/II University of Sioux Flls MAT204/205 Clulus I/II Conepts ddressed: Clulus Textook: Thoms Clulus, 11 th ed., Weir, Hss, Giordno 1. Use stndrd differentition nd integrtion tehniques. Differentition tehniques

More information

April 8, 2017 Math 9. Geometry. Solving vector problems. Problem. Prove that if vectors and satisfy, then.

April 8, 2017 Math 9. Geometry. Solving vector problems. Problem. Prove that if vectors and satisfy, then. pril 8, 2017 Mth 9 Geometry Solving vetor prolems Prolem Prove tht if vetors nd stisfy, then Solution 1 onsider the vetor ddition prllelogrm shown in the Figure Sine its digonls hve equl length,, the prllelogrm

More information

Electromagnetism Notes, NYU Spring 2018

Electromagnetism Notes, NYU Spring 2018 Eletromgnetism Notes, NYU Spring 208 April 2, 208 Ation formultion of EM. Free field desription Let us first onsider the free EM field, i.e. in the bsene of ny hrges or urrents. To tret this s mehnil system

More information

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and

Lecture 27: Diffusion of Ions: Part 2: coupled diffusion of cations and Leture 7: iffusion of Ions: Prt : oupled diffusion of tions nd nions s desried y Nernst-Plnk Eqution Tody s topis Continue to understnd the fundmentl kinetis prmeters of diffusion of ions within n eletrilly

More information

Switching properties of an arbitrarily excited nonlinear electron-wave directional coupler

Switching properties of an arbitrarily excited nonlinear electron-wave directional coupler Proeedings of the 6th WSEAS Interntionl Conferene on Miroeletronis, Nnoeletronis, Optoeletronis, Istnul, Turkey, My 7-9, 7 1 Swithing properties of n ritrrily exited nonliner eletron-wve diretionl oupler

More information

On the Scale factor of the Universe and Redshift.

On the Scale factor of the Universe and Redshift. On the Sle ftor of the Universe nd Redshift. J. M. unter. john@grvity.uk.om ABSTRACT It is proposed tht there hs been longstnding misunderstnding of the reltionship between sle ftor of the universe nd

More information

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths Intermedite Mth Cirles Wednesdy 17 Otoer 01 Geometry II: Side Lengths Lst week we disussed vrious ngle properties. As we progressed through the evening, we proved mny results. This week, we will look t

More information

COMPARATIVE STUDY OF ENCODERS FOR PARALLEL-TYPE ADCS

COMPARATIVE STUDY OF ENCODERS FOR PARALLEL-TYPE ADCS OMPAATIVE TUDY OF ENODE FO PAALLEL-TYPE AD Pul Pereir (,3), Jorge. Fernndes (2,3) () Deptº Engª Eletroténi, Esol uperior de Tenologi, I.P..B., Av. Empresário, 6000-767 stelo Brno, Portugl Phone (35)272339357

More information

UV-Induced Self-Repairing Polydimethylsiloxane-Polyurethane (PDMS-PUR) Cu- Catalyzed Networks

UV-Induced Self-Repairing Polydimethylsiloxane-Polyurethane (PDMS-PUR) Cu- Catalyzed Networks Eletroni Supplementry Mteril (ESI) for Journl of Mterils Chemistry A. This journl is The Royl Soiety of Chemistry 2014 Supporting Online Mterils UV-Indued Self-Repiring Polydimethylsiloxne-Polyurethne

More information

MRS BULLETIN VOLUME 33 OCTOBER

MRS BULLETIN VOLUME 33 OCTOBER Optil Metmgnetism nd Negtive-Index Metmterils Udy K. hettir, Shumin Xio, lexnder V. Kildishev, Wenshn i, sio-kun Yun, Vldimir P. rhev, nd Vldimir M. Shlev strt new lss of rtifiilly strutured mterils lled

More information

Alpha Algorithm: Limitations

Alpha Algorithm: Limitations Proess Mining: Dt Siene in Ation Alph Algorithm: Limittions prof.dr.ir. Wil vn der Alst www.proessmining.org Let L e n event log over T. α(l) is defined s follows. 1. T L = { t T σ L t σ}, 2. T I = { t

More information

3/8" Square (10 mm) Multi-Turn Cermet Trimmer

3/8 Square (10 mm) Multi-Turn Cermet Trimmer 3/8" Squre ( mm) Multi-Turn Cermet FEATURES Industril grde W t 70 C Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 1 % typil Complint to RoHS Diretive 2002/95/EC The Model is smll size

More information

Behavior Composition in the Presence of Failure

Behavior Composition in the Presence of Failure Behvior Composition in the Presene of Filure Sestin Srdin RMIT University, Melourne, Austrli Fio Ptrizi & Giuseppe De Giomo Spienz Univ. Rom, Itly KR 08, Sept. 2008, Sydney Austrli Introdution There re

More information

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

More information

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R /10/010 Question 1 1 mole of idel gs is rought to finl stte F y one of three proesses tht hve different initil sttes s shown in the figure. Wht is true for the temperture hnge etween initil nd finl sttes?

More information

Ultrafast charge transfer in atomically thin MoS 2 /WS 2 heterostructures

Ultrafast charge transfer in atomically thin MoS 2 /WS 2 heterostructures PUBLISHED ONLINE: 24 AUGUST 214 DOI: 1.18/NNANO.214.167 Ultrfst hrge trnsfer in tomilly thin /WS 2 heterostrutures Xioping Hong 1, Jonghwn Kim 1, Su-Fei Shi 1,2, Yu Zhng, Chenho Jin 1, Yinghui Sun 1, Sefttin

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = 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 information

Dorf, R.C., Wan, Z. T- Equivalent Networks The Electrical Engineering Handbook Ed. Richard C. Dorf Boca Raton: CRC Press LLC, 2000

Dorf, R.C., Wan, Z. T- Equivalent Networks The Electrical Engineering Handbook Ed. Richard C. Dorf Boca Raton: CRC Press LLC, 2000 orf, R.C., Wn,. T- Equivlent Networks The Eletril Engineering Hndook Ed. Rihrd C. orf Bo Rton: CRC Press LLC, 000 9 T P Equivlent Networks hen Wn University of Cliforni, vis Rihrd C. orf University of

More information

Physics 505 Homework No. 11 Solutions S11-1

Physics 505 Homework No. 11 Solutions S11-1 Physis 55 Homework No 11 s S11-1 1 This problem is from the My, 24 Prelims Hydrogen moleule Consider the neutrl hydrogen moleule, H 2 Write down the Hmiltonin keeping only the kineti energy terms nd the

More information

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem.

Lesson 2: The Pythagorean Theorem and Similar Triangles. A Brief Review of the Pythagorean Theorem. 27 Lesson 2: The Pythgoren Theorem nd Similr Tringles A Brief Review of the Pythgoren Theorem. Rell tht n ngle whih mesures 90º is lled right ngle. If one of the ngles of tringle is right ngle, then we

More information

ECE Microwave Engineering. Fall Prof. David R. Jackson Dept. of ECE. Notes 7. Waveguides Part 4: Rectangular and Circular Waveguide

ECE Microwave Engineering. Fall Prof. David R. Jackson Dept. of ECE. Notes 7. Waveguides Part 4: Rectangular and Circular Waveguide ECE 5317-6351 Mirowve Engineering Fll 01 Prof. Dvid R. Jkson Dept. of ECE Notes 7 Wveguides Prt 4: Retngulr nd Cirulr Wveguide 1 Retngulr Wveguide One of the erliest wveguides. Still ommon for high power

More information

Synergism in binary nanocrystal superlattices leads to enhanced p-type conductivity in self-assembled PbTe/Ag 2 Te thin films

Synergism in binary nanocrystal superlattices leads to enhanced p-type conductivity in self-assembled PbTe/Ag 2 Te thin films Synergism in inry nnorystl superltties leds to enhned p-type ondutivity in self-ssemled PTe/Ag 2 Te thin films JEFFREY J. URBAN 1 *,DMITRIV.TALAPIN 2, ELENA V. SHEVCHENKO 2, CHERIE R. KAGAN 1 AND CHRISTOPHER

More information

Unit 4. Combinational Circuits

Unit 4. Combinational Circuits Unit 4. Comintionl Ciruits Digitl Eletroni Ciruits (Ciruitos Eletrónios Digitles) E.T.S.I. Informáti Universidd de Sevill 5/10/2012 Jorge Jun 2010, 2011, 2012 You re free to opy, distriute

More information

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES PAIR OF LINEAR EQUATIONS IN TWO VARIABLES. Two liner equtions in the sme two vriles re lled pir of liner equtions in two vriles. The most generl form of pir of liner equtions is x + y + 0 x + y + 0 where,,,,,,

More information

3/8" Square (10 mm) Multi-Turn Cermet Trimmer

3/8 Square (10 mm) Multi-Turn Cermet Trimmer www.vishy.om 3/8" Squre ( mm) Multi-Turn Cermet Trimmer FEATURES Industril grde W t 70 C Vishy Spetrol Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 2 % Mteril tegoriztion: for definitions

More information

Spacetime and the Quantum World Questions Fall 2010

Spacetime and the Quantum World Questions Fall 2010 Spetime nd the Quntum World Questions Fll 2010 1. Cliker Questions from Clss: (1) In toss of two die, wht is the proility tht the sum of the outomes is 6? () P (x 1 + x 2 = 6) = 1 36 - out 3% () P (x 1

More information

Section 1.3 Triangles

Section 1.3 Triangles Se 1.3 Tringles 21 Setion 1.3 Tringles LELING TRINGLE The line segments tht form tringle re lled the sides of the tringle. Eh pir of sides forms n ngle, lled n interior ngle, nd eh tringle hs three interior

More information

Supporting Information Mesoporous graphitic carbon nanodisks fabricated via catalytic carbonization of coordination polymers

Supporting Information Mesoporous graphitic carbon nanodisks fabricated via catalytic carbonization of coordination polymers Supporting Informtion Mesoporous grphiti ron nnodisks frited vi tlyti roniztion of oordintion polymers Pnpn Su, Ling Jing, Jio Zho, Jingwng Yn, Cn Li nd Qihu Yng Stte Key Lortory of Ctlysis, Dlin Institute

More information

Damping of Power System Oscillations using Unified Power Flow Controller (UPFC)

Damping of Power System Oscillations using Unified Power Flow Controller (UPFC) INDIAN INSTITUTE OF TECHNOLOGY, KHARAGPUR 73, DECEMBER 7-9, 47 of Power System Osilltions using Unified Power Flow Controller (UPFC) Neelim Tmey M. L. Kothri Astrt--This pper presents systemti pproh for

More information

1.3 SCALARS AND VECTORS

1.3 SCALARS AND VECTORS Bridge Course Phy I PUC 24 1.3 SCLRS ND VECTORS Introdution: Physis is the study of nturl phenomen. The study of ny nturl phenomenon involves mesurements. For exmple, the distne etween the plnet erth nd

More information

CHENG Chun Chor Litwin The Hong Kong Institute of Education

CHENG Chun Chor Litwin The Hong Kong Institute of Education PE-hing Mi terntionl onferene IV: novtion of Mthemtis Tehing nd Lerning through Lesson Study- onnetion etween ssessment nd Sujet Mtter HENG hun hor Litwin The Hong Kong stitute of Edution Report on using

More information

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue TITLE: OBJECTIVE: AUTHOR: SPONSORS: Effets of Drought on the Performne of Two Hyrid Bluegrsses, Kentuky Bluegrss nd Tll Fesue Evlute the effets of drought on the visul qulity nd photosynthesis in two hyrid

More information

Research Article Comparative Studies of Different Switching Patterns for Direct and Indirect Space Vector Modulated Matrix Converter

Research Article Comparative Studies of Different Switching Patterns for Direct and Indirect Space Vector Modulated Matrix Converter dvnes in Power Eletronis Volume, rtile ID 854, 8 pges doi:.55//854 Reserh rtile omprtive Studies of Different Swithing Ptterns for Diret nd Indiret Spe Vetor Modulted Mtrix onverter min Shnpour, Ssn Gholmi,

More information

Sequence Cartridge Valves

Sequence Cartridge Valves Sequene Vlves Type Pge Pilot Operted, lned Piston Diret ting with Reverse Flow Chek 7 Kik-down, Pilot Operted, lned Piston ir Controlled, Pilot Operted, lned Piston 9 Diret ting without Reverse Flow Chek

More information

Multi-Turn Surface Mount 1/4" Square Cermet Trimmers, Fully Sealed

Multi-Turn Surface Mount 1/4 Square Cermet Trimmers, Fully Sealed www.vishy.om Vishy Sfernie Multi-Turn Surfe Mount /4" Squre Cermet Trimmers, Fully Seled The multiturn trimmer hs een designed for use in PCB surfe mounting pplitions. Three vritions re ville ording to

More information

ANALYSIS AND MODELLING OF RAINFALL EVENTS

ANALYSIS AND MODELLING OF RAINFALL EVENTS Proeedings of the 14 th Interntionl Conferene on Environmentl Siene nd Tehnology Athens, Greee, 3-5 Septemer 215 ANALYSIS AND MODELLING OF RAINFALL EVENTS IOANNIDIS K., KARAGRIGORIOU A. nd LEKKAS D.F.

More information

Distributed Generation Placement in Unbalanced Distribution System with Seasonal Load Variation

Distributed Generation Placement in Unbalanced Distribution System with Seasonal Load Variation Distriuted Genertion Plement in Unlned Distriution System with Sesonl Lod Vrition Rvi Tej Bhimrsetti Dept. of Eletril Engg., NT Kurukshetr Kurukshetr, ndi svrtej@gmil.om Ashwni Kumr, Memer, EEE Dept. of

More information

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals AP Clulus BC Chpter 8: Integrtion Tehniques, L Hopitl s Rule nd Improper Integrls 8. Bsi Integrtion Rules In this setion we will review vrious integrtion strtegies. Strtegies: I. Seprte the integrnd into

More information

Reduction of Switching Noise in Digital CMOS Circuits by Pin Swapping of Library Cells 1

Reduction of Switching Noise in Digital CMOS Circuits by Pin Swapping of Library Cells 1 Redution of Swithing Noise in Digitl CMOS Ciruits y Pin Swpping of Lirry Cells 1 Pilr Prr, Antonio Aost, nd Mnuel Vleni Instituto de Miroeletróni de Sevill-CNM / Universidd de Sevill Avd. Rein Meredes

More information

5 mm Square Surface Mount Miniature Trimmers Single-Turn Cermet Fully Sealed

5 mm Square Surface Mount Miniature Trimmers Single-Turn Cermet Fully Sealed www.vishy.om Vishy Sfernie mm Squre Surfe Mount Miniture Trimmers Single-Turn Cermet Fully Seled The trimming potentiometer hs een designed for surfe mount pplitions nd offers volumetri effiieny ( mm x

More information

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1)

Math 32B Discussion Session Week 8 Notes February 28 and March 2, f(b) f(a) = f (t)dt (1) Green s Theorem Mth 3B isussion Session Week 8 Notes Februry 8 nd Mrh, 7 Very shortly fter you lerned how to integrte single-vrible funtions, you lerned the Fundmentl Theorem of lulus the wy most integrtion

More information

Symmetrical Components 1

Symmetrical Components 1 Symmetril Components. Introdution These notes should e red together with Setion. of your text. When performing stedy-stte nlysis of high voltge trnsmission systems, we mke use of the per-phse equivlent

More information

THE ANALYSIS AND CALCULATION OF ELECTROMAGNETIC FIELD AROUND OVERHEAD POWER LINE HongWang Yang

THE ANALYSIS AND CALCULATION OF ELECTROMAGNETIC FIELD AROUND OVERHEAD POWER LINE HongWang Yang 5th Interntionl Conferene on Advned Mterils nd Computer Siene (ICAMCS 6) THE ANALYSIS AN CALCULATION OF ELECTROMAGNETIC FIEL AROUN OVERHEA POWER LINE HongWng Yng eprtment of eletril engineering, North

More information

Learning Partially Observable Markov Models from First Passage Times

Learning Partially Observable Markov Models from First Passage Times Lerning Prtilly Oservle Mrkov s from First Pssge s Jérôme Cllut nd Pierre Dupont Europen Conferene on Mhine Lerning (ECML) 8 Septemer 7 Outline. FPT in models nd sequenes. Prtilly Oservle Mrkov s (POMMs).

More information

Three-phase Unity-Power-Factor VIENNA Rectifier with Unified Constantfrequency

Three-phase Unity-Power-Factor VIENNA Rectifier with Unified Constantfrequency 0- Three-phse Unity-Power-Ftor VIENNA Retifier with Unified Constntfrequeny Integrtion Control Chongming Qio nd Keyue M. Smedley Deprtment of Eletril nd Computer Engineering Uniersity of Cliforni, Irine,

More information

LETTERS. Generation of single optical plasmons in metallic nanowires coupled to quantum dots

LETTERS. Generation of single optical plasmons in metallic nanowires coupled to quantum dots Vol 45 15 Novemer 7 doi:1.138/nture623 Genertion of single optil plsmons in metlli nnowires oupled to quntum dots A. V. Akimov 1,4 *, A. Mukherjee 1 *,C.L.Yu 2 *, D. E. Chng 1, A. S. Zirov 1,4, P. R. Hemmer

More information

Particle-in-cell Simulations for the Effect of Magnetic Shielding and Channel Length on Cylindrical Hall Thruster

Particle-in-cell Simulations for the Effect of Magnetic Shielding and Channel Length on Cylindrical Hall Thruster Prtile-in-ell Simultions for the Effet of Mgneti Shielding nd Chnnel Length on Cylindril Hll Thruster IEPC-215-435 /ISTS-215-- 435 Presented t Joint Conferene of 3th Interntionl Symposium on Spe Tehnology

More information

6.5 Improper integrals

6.5 Improper integrals Eerpt from "Clulus" 3 AoPS In. www.rtofprolemsolving.om 6.5. IMPROPER INTEGRALS 6.5 Improper integrls As we ve seen, we use the definite integrl R f to ompute the re of the region under the grph of y =

More information

Towards woven logic from organic electronic fibres

Towards woven logic from organic electronic fibres Towrds woven logi from orgni eletroni fires LETTER MAHIAR HAMEI 1, ROBERT FORCHHEIMER 2 AN OLLE INANÄ 1 * 1 Biomoleulr nd Orgni Eletronis, IFM, Center of Orgni Eletronis, Linköpings Universitet, 581 83

More information

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix

Matrices SCHOOL OF ENGINEERING & BUILT ENVIRONMENT. Mathematics (c) 1. Definition of a Matrix tries Definition of tri mtri is regulr rry of numers enlosed inside rkets SCHOOL OF ENGINEERING & UIL ENVIRONEN Emple he following re ll mtries: ), ) 9, themtis ), d) tries Definition of tri Size of tri

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:1.138/nture1241 Figure S1., TEM imge of gold nnoprtiles.,, Chemil strutures of nioni itrte nd tioni polyurethne opolymer, respetively. Comment: Gold nnoprtiles were synthesized ording to slightly modified

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Voting Prdoxes Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Voting Prdoxes Properties Arrow s Theorem Leture Overview 1 Rep

More information

Optical rectification and shift currents in GaAs and GaP response: Below and above the band gap

Optical rectification and shift currents in GaAs and GaP response: Below and above the band gap Optil retifition shift urrents in GAs GP response: Below ove the gp F. Nstos J. E. Sipe Deprtment of Physis Institute for Optil Sienes, University of Toronto, 60 St. George Street, Toronto, Ontrio, Cnd

More information

Ab-initio investigation on the stability of H-6 Carbon

Ab-initio investigation on the stability of H-6 Carbon A-initio investigtion on the stility of H-6 Cron Zhris G. Fthenkis A few yers go H-6 Cron hd een proposed s n ll sp 2 three-dimensionl Cron llotrope, with mehnil properties omprle to grphene. However,

More information

Modeling of Catastrophic Failures in Power Systems

Modeling of Catastrophic Failures in Power Systems Modeling of tstrophi Filures in Power Systems hnn Singh nd lex Sprintson Deprtment of Eletril nd omputer Engineering Texs &M hnn Singh nd lex Sprintson Modeling of tstrophi Filures Motivtion Reent events

More information

ZnS has been extensively investigated as an important wideband-gap

ZnS has been extensively investigated as an important wideband-gap RTILES Morphology-tuned wurtzite-type ZnS nnoelts ZHONGWU WNG 1 *,LUKEL.DEMEN 1, YUSHENG ZHO 1,.S.ZH 2, ROERT T. DOWNS 3, XUDONG WNG 4, ZHONG LIN WNG 4 ND RUSSELL J. HEMLEY 5 1 Los lmos Ntionl Lortory,

More information

Revealing the molecular structure of single-molecule junctions in different conductance states by fishing-mode tip-enhanced Raman spectroscopy

Revealing the molecular structure of single-molecule junctions in different conductance states by fishing-mode tip-enhanced Raman spectroscopy Reeived 23 Nov 2010 Aepted 13 Apr 2011 Pulished 10 My 2011 DOI: 10.1038/nomms1310 Reveling the moleulr struture of single-moleule juntions in different ondutne sttes y fishing-mode tip-enhned Rmn spetrosopy

More information

Supplementary Figure 1 Supplementary Figure 2

Supplementary 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 information

THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL

THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL THE ASYMMETRY OF COASTAL WATER LEVEL RESPONSE TO LANDFALLING HURRICANES SIMULATED BY A THREE-DIMENSIONAL STORM SURGE MODEL Mhun Peng *, Lin Xie nd Leonrd J. Pietrfes Deprtment of Mrine, Erth nd Atmospheri

More information

TOPIC: LINEAR ALGEBRA MATRICES

TOPIC: LINEAR ALGEBRA MATRICES Interntionl Blurete LECTUE NOTES for FUTHE MATHEMATICS Dr TOPIC: LINEA ALGEBA MATICES. DEFINITION OF A MATIX MATIX OPEATIONS.. THE DETEMINANT deta THE INVESE A -... SYSTEMS OF LINEA EQUATIONS. 8. THE AUGMENTED

More information

Arrow s Impossibility Theorem

Arrow s Impossibility Theorem Rep Fun Gme Properties Arrow s Theorem Arrow s Impossiility Theorem Leture 12 Arrow s Impossiility Theorem Leture 12, Slide 1 Rep Fun Gme Properties Arrow s Theorem Leture Overview 1 Rep 2 Fun Gme 3 Properties

More information

GM1 Consolidation Worksheet

GM1 Consolidation Worksheet Cmridge Essentils Mthemtis Core 8 GM1 Consolidtion Worksheet GM1 Consolidtion Worksheet 1 Clulte the size of eh ngle mrked y letter. Give resons for your nswers. or exmple, ngles on stright line dd up

More information

The influence of 2,2 -dipyridyl on non-formaldehyde electroless copper plating

The influence of 2,2 -dipyridyl on non-formaldehyde electroless copper plating Eletrohimi At 9 () 1789 179 The influene of, -dipyridyl on non-formldehyde eletroless opper plting Jun Li, Hrley Hyden, Pul A. Kohl Shool of Chemil & Biomoleulr Engineering, Georgi Institute of Tehnology,

More information

A Study on the Properties of Rational Triangles

A Study on the Properties of Rational Triangles Interntionl Journl of Mthemtis Reserh. ISSN 0976-5840 Volume 6, Numer (04), pp. 8-9 Interntionl Reserh Pulition House http://www.irphouse.om Study on the Properties of Rtionl Tringles M. Q. lm, M.R. Hssn

More information

Lecture 6: Coding theory

Lecture 6: Coding theory Leture 6: Coing theory Biology 429 Crl Bergstrom Ferury 4, 2008 Soures: This leture loosely follows Cover n Thoms Chpter 5 n Yeung Chpter 3. As usul, some of the text n equtions re tken iretly from those

More information