Bismuth-doped zinc aluminosilicate glasses and glass-ceramics with ultra-broadband infrared luminescence
|
|
- Claire Quinn
- 5 years ago
- Views:
Transcription
1 Optil Mterils 29 (27) Bismuth-ope zin luminosilite glsses n glss-ermis with ultr-ron infrre luminesene Mingying Peng,, *, Dnping Chen, Jinrong Qiu,, *, Xiongwei Jing, Congshn Zhu Shnghi Institute of Optis n Fine Mehnis, Chinese Aemy of Sienes, Photon Crft Projet, 295#, Theng Ro, Jiing, Shnghi 218, Chin Grute Shool of the Chinese Aemy of Sienes, Beijing 139, Chin Deprtment of Mterils Siene n Engineering, Zhejing University, Hngzhou 3127, Chin Reeive 16 Jnury 25; epte 5 August 25 Aville online 5 Jnury 26 Astrt Bron infrre luminesene overing the optil teleommunition wvelength region of O, E n S ns ws oserve from ismuth-ope zin luminosilite glsses n glss-ermis. The spetrosopi properties of the glsses n glss-ermis epen on the therml-tretment history. With the pperne of ghnite (ZnAl 2 O 4 ) rystlline phse, the fluoresent pek moves to longer wvelength, ut the fluoresent intensity ereses. The 13 nm fluoresene with FWHM lrger thn 25 nm n lifetime longer thn 6 ls possesses these optil mterils with potentil pplitions in lser evies n ron mplifiers. The ro infrre luminesene from the ismuth-ope zin luminosilite glsses n glss-ermis might e from BiO or ismuth lusters rther thn from Bi 5+ n Bi 3+. Ó 25 Elsevier B.V. All rights reserve. PACS: 42.6.D; 42.7.C; 42.7.K; S; 78.6 Keywors: Infrre luminesene; Glsses n glss-ermis; Bismuth 1. Introution * Corresponing uthors. E-mil resses: mypeng@mil.siom..n (M. Peng), jrq@photon. jst.go.jp (J. Qiu). During pst ees, trnsprent glss-ermi s new type of funtionl mteril hs ttrte muh more n more ttentions euse of its wie pplition in the res of flt pnel isplys, solr onentrtors, optil mplifiers n up-onversion evies, et. [1 5]. The stuies on tive ions, e.g., Ni 2+ n Er 3+, tivte glss-ermis with high luminesent effiieny hve een extensively performe n some promising results hve een hieve [3 5]. In reent yers, expning the gin nwiths of the fier mplifiers n the lser soures to hieve more effiient wvelength ivision multiplexing trnsmission network with higher pity n fster it rte hs eome key n ttrtive ojet for the future evelopment of the optil ommunition. In orer to further evelop new mplifiers or lsers with muh roer nwith, it is essentil to explore new luminesent mterils espeilly overing the nm region. Reently, novel ron infrre luminesene in lm ws oserve with FWHM lrger thn 2 nm n lifetime longer thn 2 ls from ismuth-ope SiO 2 n GeO 2 glsses t room temperture [6,7]. The exellent optil properties for the new ismuth-tivte mterils mke them s the goo nites for the super-ron mplifition gin mei [6,7]. In this pper, we report the oservtion of ron luminesene in lm region from ismuth-ope zin luminosilite glsses n glss-ermis, stuy the /$ - see front mtter Ó 25 Elsevier B.V. All rights reserve. oi:1.116/j.optmt
2 M. Peng et l. / Optil Mterils 29 (27) epenene of optil properties of the glsses n the glss-ermis on the het-tretment onitions n finlly isuss the infrre fluoresene mehnism. 2. Experimentl Anlyti regents, MgO, ZnO, SrCO 3, BCO 3, NNO 3, SiO 2, Al(OH) 3, H 3 BO 3, ZrO 2, TiO 2 n Bi 2 O 3 were selete s rw mterils. The selete glss ompositions (in mol.%) were (1) 57.3SiO 2 Æ 26.2AlO 1.5 Æ 1.6ZnO Æ.9- BO Æ 4.TiO 2 Æ 1.Bi 2 O 3 (glss 1, herefter), (2) 59.4SiO 2 Æ 22.9AlO 1.5 Æ 6.8ZnO Æ 3.8MgO Æ.9BO Æ 3.9TiO 2 Æ 1.5ZrO 2 Æ 1.Bi 2 O 3 (glss 2, herefter) n (3) 3N 2 O Æ 1Al 2 O 3 Æ 59SiO 2 Æ 1.Bi 2 O 3 (NASB glss, herefter). The 15 g thes orresponing to glss 1 n glss 2, respetively, were weighte n thoroughly homogenize in n lumin mortr, n then melte for one n hlf hours t 16 C in lumin ruiles in ir. The melts were st onto stinless steel plte n then nnele t 7 C for 2 h. Eh otine glss smple ws ut n polishe into piees with the size of 5 5 2mm 3 for ifferent hettretment proesses in smll progrmme eletri furne. The glss smples were het trete in the following progrms: 25 C 2! min 7 C 2! min 7 C 1! min 85 C 6 min! 85 C 12! min 85 C; 9 C or 95 C 12! min 85 C; 9 C or 95 C 5! min 25 C. The hrterize symols for the het-trete smples were employe to lerly illuminte the therml-tretment histories of the ifferent smples. For exmple, h ment tht glss 1 ws het trete t 95 C for 2 h. Hunre grm th for NASB glss smple ws weighte, groun, prehete t 12 C for 2 h n then melt t 155 C for 2 min. The melt ws quenhe onto the steel plte n nnele t 5 C for 1 h. The NASB glss smple ws lso ut n polishe for the mesurements. The polyrystlline power smple of Sr.95 B 4 O 7 :.5Bi ws prepre s follows: stoihiometri mounts of SrCO 3 n H 3 BO 3 together with 3 mol% exess of H 3 BO 3 to ompenste for B 2 O 3 evportion were mixe, groun, prehete t 7 C in lumin ruile in ir for 5 h n then sintere t 85 C for 5 h twie fter regroun. The ifferentil therml nlysis (DTA) urves were otine with CRY-Z Differentil Therml Anlyzer t heting rte of 1 C min 1. Phse ssemlges were hrterize y Bruker D4 X-ry iffrtometer t kv/2 ma with CuK 1 (k = 1.55 Å) s rition soure n ientifie on the sis of JCPDS stnr rs (5-669 for ZnAl 2 O 4, for BTi 2 O 5 n for SrB 4 O 7 ). The optil sorption spetr n the infrre luminesene spetr of the smples were mesure using JASCO V-57 spetrophotometer n ZOLIX SBP3 spetrofluorometer with InGAs etetor t the exittion of the 88 nm lser ioe (LD), respetively. The emission n the exittion spetr were reore on JASCO FP- 65 fluoresene UV Vis spetrofluorometer. The fluoresene lifetime mesurements were rrie out y exiting the smple with moulte 88 nm LD. The signls etete y n InGAs photoetetor in TRIAX55 spetrofluorometer were reore using storge igitl osillosope (Tektronix TDS352). All the mesurements were tken t room temperture. 3. Results n isussion 3.1. Therml stilities of glss 1 n glss 2 DTA urves of glss 1 n glss 2 re illustrte in Fig. 1. The glss trnsition temperture (T g ), rystlliztion onset temperture (T x ) n mximum rystlliztion temperture (T ) re oserve n mrke in Fig. 1. The prmeter, DT = T x T g, n e use to roughly estimte the glss therml stility. If DT is lrger thn 1 C, the glss n e onsiere to hve goo therml stility [8]. As shown in Fig. 1, the vlues of DT for glss 1 n glss 2 re 127 n 122 C, respetively, initing these glss smples re stle ginst evitrifition. Interestingly, the T pek notiely eomes roen n fltten with itions of MgO n ZrO X-ry iffrtion (XRD) ptterns Fig. 2 n present the XRD ptterns of glss 1 n glss 2 efore n fter het-tretments. No pprent iffrtion peks n e oserve for oth the untrete glss 1 n glss 2, implying tht they re vitreous. After hettretments, the iffrtion peks ttriutle to the min rystl phse of ZnAl 2 O 4 re oserve from ll the hettrete smples, together with the pperne of BTi 2 O 5 phse (see Fig. 2). Furthermore, s the het-tretment temperture goes up from 85, 9 to 95 C, the iffrtion peks of ZnAl 2 O 4 eome stronger n shrper, whih shows the inrese in the rystllite size. The verge rystllite size ws lulte y the Sherrer s eqution. The strongest iffrtion pek roun 2h = 37 orresponing to the (311) plne ws selete for the lultions. The size hnges from out 8, 11 to 14 nm n from 6, 9 to 13 nm for glss 1 n glss 2 het-trete t 85, 9 or 95 C, respetively. ENDO EXO Glss 2 Glss 1 T g2 =75 o C T g1 =71 o C T 2 =893 o C T x2 =827 o C T 1 =88 o C T x1 =837 o C Temperture ( o C) Fig. 1. DTA urves of glss 1 n glss 2.
3 558 M. Peng et l. / Optil Mterils 29 (27) h 1-9-2h h 1 ZnAl 2 O 4 Trnsmission (%) h h h () θ () Wvelength (nm) h 1 Intensity (r. units) () h h 2 ZnAl 2 O θ Fig. 2. X-ry iffrtion ptterns of () glss 1 n () glss 2 efore n fter het-tretments. The ottom pttern is from Stnr JCPDS r no for ZnAl 2 O 4. Open irle enotes the iffrtion pek ue to BTi 2 O 5. Trnsmission (%) () h h h Wvelength (nm) Fig. 3. Trnsmission spetr of () glss 1 n () glss 2 efore n fter het-tretments Trnsmission spetr Prtile rii smller thn 15 nm n refrtive inex ifferene (Dn) smller.1 etween the glss n rystls re esirle to keep mteril with goo trnspreny for the prtil purposes [1]. As mentione in Setion 3.2, the rystlline prtile rii re smller thn 15 nm. As reporte in Ref. [1], Dn is less thn.1. Thus, goo trnspreny is preserve for the zin luminosilite glsses n glss-ermis (see Fig. 3). The mximum trnsmissions re lose to 9% for the prent glss 1 n glss 2, ut re little lowere for the het-trete speimens. As the het-tretment temperture inreses, the oy olor of smple turns from light reish rown to reish rown n trnsmission ereses in turn. Three sorption peks t roun 5, 7 n 8 nm shoul e ssigne to the sorptions of ismuth ions [6,7] Infrre fluoresene spetr Fig. 4 shows the infrre fluoresene spetr of glss 1 n glss 2 efore n fter het-tretments in the se of 88 nm exittion. There is ron peke t roun 126 nm with FWHM of 286 nm for glss 1. With the pperne of ZnAl 2 O 4 phse, the pek position suenly moves to the longer wvelength of out 1285 nm with Intensity (r. units) () Reltive intensity (r. units) () h h h Wvelength (nm) h h h Wvelength (nm) Fig. 4. Fluoresene spetr of () glss 1 n () glss 2 efore n fter het-tretments pumpe y 88 nm LD.
4 M. Peng et l. / Optil Mterils 29 (27) slight erese in intensity. However, s the ZnAl 2 O 4 nnoprtile further grows up, the 1285 nm pek remins unshifte n the intensity ereses ontinuously. For glss 2 n its het-trete smples, the similr se ppers s shown in Fig. 4. The fluoresent pek lies t 126 n 129 nm for glss 2 n its het-trete smples, respetively. In the rystllizing ourse of the glsses, the tive ions, e.g., Ni 2+,Cr 3+ or Er 3+ /Y 3+, will enter the rystlline phse n therefore the luminesene intensity oul e strongly enhne for the glss-ermis [3 5,9]. But se on our experiment results mentione ove, we propose tht the ismuth ions still sty in the resiul glss phse of the forme glss-ermis. The lrger rius ifferene etween ismuth ions (R Bi 3þ = 1.3 Å) n the hoste tions (R Zn 2þ =.74 Å n R Al 3þ =.39 Å) might e the riving fore to prevent ismuth ions from entering the ghnite phse. All the previous investigtions emonstrte tht ooping of luminum into ismuth-ope glsses is inispensle for the ron infrre luminesene [6,7]. Furthermore, in our former stuies on GeO 2 :Al,Bi glsses, we foun tht inresing the luminum ontent will le to the inrese of the infrre fluoresene intensity. Though the rel role of the luminum ions in the genertion of infrre luminesene is unknown up to now, it n e onsiere tht suh ions n homogenously isperse the ismuth ions throughout the glss host to some extent s they o in Al 3+ n N 3+ o-ope sili glss [1]. In sili glss, Al 3+ ions surroun N 3+ ions with the oning ssoition of Al O N n enlrge the sping etween N 3+ ions. An therefore the intertion etween N 3+ ions is wekene n the luminesene effiieny of N 3+ ions is improve [1]. Compre with the untrete glss 1 n glss 2, the Al 2 O 3 onentrtion s ispersnt gent is reltively lower in the resiul glss phse of het-trete speimens, sine prt of Al 2 O 3 is onsume to form the ZnAl 2 O 4 nnoprtiles in the glss ermis. So the intertion etween ismuth ions eomes stronger in the glss-ermis, whih n e verifie y the reution of the fluoresene lifetime from 746 to 666, 631 n 616 ls for 1, h, h n h, respetively, n the fluoresene intensities re therefore wekene s shown in Fig Mehnism of infrre luminesene Nowys, it is still unknown where the ro infrre emission omes from in ismuth-ope glsses [6,7]. Oviously, the lifetime n the positions of oth sorption n emission peks of ismuth-ope SiO 2, GeO 2 n zin luminosilite glsses quite iffer from the Bi 3+ or Bi 2+ ope luminesent mterils previously reporte in literture [11 16]. For exmple, the lifetime in Bi 3+ -ope soium orte or phosphte glsses ws less thn 4 ls [15]. Fujimoto et l. srie the sorption n the emission spetr of SiO 2 :Al, Bi to the Bi 5+ trnsitions etween the groun stte of 1 S n the exite sttes of 3 D 3,2,1 n 1 D 2 [6]. However, t higher temperture, Bi 2 O 3 will reily issoite into the suoxie BiO or even into ismuth metl [17]. We suspet tht the infrre luminesene with the lifetime longer thn 6 ls might originte from the lower-vlene ismuth ut not from Bi 5+ ion. In orer to ientify where the infrre luminesene me from, we prepre the trnsprent n olorless NASB glss n the light-pink polyrystlline smple of Sr.95 B 4 O 7 :.5Bi. As well known, high-vlent Bi 5+ ion often exists in the ompouns, e.g., NBiO 3 or KBiO 3, ontining lkli oxies with higher siity [18,19]. The optil siity lulte from the empiril formul propose y Duffy [2,21] is.612 for the NASB glss,.515 for glss 1 n.516 for glss 2. Aoring to the optil siity theory [21], the upper oxition stte of opnt is usully fvorle in glss with higher siity. Thus, the higher vlent Bi 5+ ions shoul e more preferre in NASB glss thn in glss 1 n glss 2. If the infrre luminesene omes from Bi 5+ ions, the infrre emission shoul lso e oserve from NASB glss s well s from glss 1 n glss 2. However, no ro infrre emission ut only the typil sorption n emission ue to Bi 3+ ions n e etete in the NASB glss with higher N 2 O ontent t room temperture s inite in Fig. 5. So the infrre luminesene is not from Bi 5+ n Bi 3+ ions. The ompoun of SrB 4 O 7 possesses the strong reuing ility n the trivlent RE 3+ ions (RE = Eu, Sm, Y, Tm, N) uilt into this mtrix n e esily reue to RE 2+ even though SrB 4 O 7 :RE is prepre in n oxiizing tmosphere of ir (The trivlent Sm, Tm or N ions re usully iffiult to e reue to their ivlent form in most of other host ompouns even prepre in N 2 +H 2.) [16,22 24]. So it is possile tht the Bi 3+ ions ope into SrB 4 O 7 re prtilly reue to the lower-vlene forms suh s ivlent ions (Stnr eletroe potentil u # (Sm 3+ /Sm 2+ )= 1.15 V, u # (Eu 3+ /Eu 2+ )=.429 V, u # (Bi 3+ /Bi + ) =.2 V, u # (Bi 3+ /Bi) =.38 V). Blsse et l. reporte the o-existene of Bi 3+ n Bi 2+ in SrB 4 O 7, ut they i not stuy the luminesene in the ner infrre Intensity (r. units) P1 1 S 3 P1 1 S ' 3 P1 1 S Wvelength (nm) Fig. 5. Exittion n emission spetr of NASB glss (: k em = 433 nm; : k ex = 34 nm) n glss 1 (similr to glss 2) (: k em = 452 nm; : k ex = 342 nm). Assignments re se on Refs. [11 15]. '
5 56 M. Peng et l. / Optil Mterils 29 (27) region [16]. At the exittion of 88 nm-lser, wek ron emission in the region of nm ws oserve from Sr.95 B 4 O 7 :.5Bi, implying tht the infrre luminesene might initite from lower-vlent ismuth (see Fig. 6). At high temperture, Bi 2 O 3 n e prtilly onverte into tomi ismuth metl [17]. If the resulting ismuth toms hve hne to eome ggregte, ismuth lusters like Bi 2 n e forme. Fink et l. foun the emission in the spetrl region of 762 m 1 (1312 nm) 78 m 1 (1282 nm) from Bi 2 in gs phse, ut they i not present the lifetime t [25]. Reently, Fink n Shestkov et l. isovere the X 2 2 P 3/2! X 1 2 P 1/2 emissions in lm with ritive lifetime of 48 ± 1 ls from BiO in gs phse [25,26]. In view of the similrity in emissionpek positions n lifetime etween BiO in gs phse, glss 1 n glss 2, we propose tht the infrre luminesene might e from BiO issolve in glss 1 n glss 2. The more ientifie onlusion oul not e me t this moment, euse we nnot rule out the other possiility tht the infrre luminesene origins from the ismuth luster, e.g., Bi 2. Given tht the infrre luminesene is relly from BiO, the oserve sorptions t 5, 7 n 8 nm n e ssigne to X 1! (H, I), X 1! A 2 n X 1! A 1 respetively, n the emission pek t 126 nm n e to X 2! X 1 [26]. In untrete glss 1 n glss 2, Bi 3+ emissions re oserve exept the 126 nm fluoresene (see Fig. 5); while in the het-trete smples, no emissions from Bi 3+ ut only 126 nm emission n e foun, whih proves tht the 126 nm fluoresene is not from Bi 3+. Mye, the trivlent ismuth ions re reue to lower vlene stte in the het-trete smples. As ompre with untrete glss 1 n glss 2, the infrre-fluoresene intensities of the het-trete smples re eviently lowere, whih might e interprete y the following three resons: (1) the erement of ispersing gents of Al 2 O 3 in the glss phse of the het-trete smples les to the intertion enhnement etween the tivtors s isusse in Setion 3.4; (2) the ismuth-onentrtion inresing in the glss phse of the Intensity (r. units) Wvelength (nm) Fig. 6. Fluoresene spetrum of Sr.95 B 4 O 7 :.5Bi prepre in ir when pumpe y 88 nm LD. het-trete smples results in onentrtion-quenhing, euse ismuth nnot e uilt into the ZnAl 2 O 4 phse; (3) the pump energy loss ue to the pumping light sttering inreses s nnorystls grow up. 4. Conlusions Bron infrre luminesene overing O ( nm), E ( nm) n S ( nm) ns in the optil teleommunition region ws oserve from ismuth-ope zin luminosilite glsses n glssermis. The fluoresent intensity, lifetime n pek position epen on the therml-tretment history. With the pperne of ghnite (ZnAl 2 O 4 ) rystlline phse, fluoresent pek moves to longer wvelength. The ro 13 nm fluoresene with FWHM lrger thn 25 nm n lifetime longer thn 6 ls possesses these optil mterils with potentil pplitions in lser evies n ron mplifiers. The ro infrre luminesene from ismuth-ope zin luminosilite glsses n glss-ermis might e from BiO or ismuth lusters rther thn from Bi 5+ n Bi 3+. Aknowlegements Mingying Peng woul like to thnk Prof. E.H. Fink for helpful isussions out mehnism nlysis uring the evelopment of this rtile. This work is finnilly supporte y the Ntionl Nturl Siene Fountion of Chin (Grnt No , 2526 n 6377), Shnghi Committee of Siene n Tehnology (Grnt No. 4XD118), Shnghi Nnotehnology Promotion Center (Grnt No. 352 nm42) n the Stte Key L for Avne Photoni Mterils n Devies, Fun University. Referenes [1] G.H. Bell, L.R. Pinhney, J. Am. Cerm. So. 82 (1) (1999) 5. [2] L.R. Pinhney, J. Non-Cryst. Solis 255 (1999) 171. [3] K. Tnk, T. Muki, T. Ishihr, K. Hiro, N. Sog, S. Sogo, M. Ashi, R. Kto, J. Am. Cerm. So. 76 (11) (1993) [4] B.N. Smson, L.R. Pinkney, J. Wng, G.H. Bell, N.F. Borrelli, Opt. Lett. 27 (15) (22) 139. [5] Y. Wng, J. Ohwki, Appl. Phys. Lett. 63 (24) (1993) [6] Y. Fujimoto, M. Nktsuk, Jpn. J. Appl. Phys. (21) L279. [7] M. Peng, J. Qiu, D. Chen, X. Meng, L. Yng, X. Jing, C. Zhu, Opt. Lett. 29 (17) (24) [8] L. Neinre, S. Jing, B. Hwng, T. Luo, J. Wtson, N. Peyghmrin, J. Non-Cryst. Solis 255 (1999) 97. [9] G. Boulon, Mter. Chem. Phys. 16 (1987) 31. [1] I. Thoms, S. Pyne, G. Wilke, J. Non-Cryst. Solis 151 (1992) 183. [11] G. Boulon, B. Moine, J. Bouret, R. Reisfel, Y. Klisky, J. Lumin. 18 (19) (1979) 924. [12] R. Reisfel, L. Boehm, J. Non-Cryst. Solis 16 (1974) 83. [13] Z. Pei, Q. Su, J. Zhng, Soli Stte Commun. 86 (6) (1993) 377. [14] D. Vn e Voort, G. Blsse, J. Soli Stte Chem. 99 (1992) 4. [15] S. Prke, R.S. We, J. Phys. Chem. Solis 34 (1973) 85. [16] G. Blsse, A. Meijerink, M. Nomes, J. Zuiem, J. Phys. Chem. Solis 55 (2) (1994) 171.
6 M. Peng et l. / Optil Mterils 29 (27) [17] M.B. Volf, in: Chemil Approh to GlssGlss Siene n Tehnology, vol. 7, Elsevier Siene Pulishing Compny, 1984, p [18] R. Retoux, F. Stuer, C. Mihel, B. Rveu, A. Fontine, E. Drtyge, Phys. Rev. B 41 (1) (199) 193. [19] S. Slem-Sugui Jr., E.E. Alp, S.M. Mini, M. Rmnthn, J.C. Cmpuzno, G. Jennings, M. Fiz, Phys. Rev. B 43 (7) (1991) [2] J.A. Duffy, M.D. Ingrm, J. Non-Cryst. Solis 21 (1976) 373. [21] J.A. Duffy, J. Non-Cryst. Solis 196 (1996) 45. [22] Z. Pei, Q. Su, J. Zhng, J. Alloy Comp. 198 (1993) 51. [23] J. Peterson, W. Xu, S. Di, Chem. Mter. 7 (9) (1995) [24] W. Xu, J. Peterson, J. Alloy Comp. 249 (1997) 213. [25] E.H. Fink, K.D. Setzer, D. Rmsy, M. Vervloet, Chem. Phys. Lett. 179 (1991) 13. [26] O. Shestkov, R. Breiohr, H. Demes, K.D. Setzer, E.H. Fink, J. Mol. Spetros. 19 (1998) 28.
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 informationLecture 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 informationChapter 4rth LIQUIDS AND SOLIDS MCQs
Chpter 4rth LIQUIDS AND SOLIDS MCQs Q.1 Ioni solis re hrterize y () low melting points () goo onutivity in soli stte () high vpour pressure () soluility in polr solvents Q.2 Amorphous solis. () hve shrp
More informationParticle Physics. Michaelmas Term 2011 Prof Mark Thomson. Handout 3 : Interaction by Particle Exchange and QED. Recap
Prtile Physis Mihelms Term 2011 Prof Mrk Thomson g X g X g g Hnout 3 : Intertion y Prtile Exhnge n QED Prof. M.A. Thomson Mihelms 2011 101 Rep Working towrs proper lultion of ey n sttering proesses lnitilly
More informationTHE 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 informationAppendix A: HVAC Equipment Efficiency Tables
Appenix A: HVAC Equipment Effiieny Tles Figure A.1 Resientil Centrl Air Conitioner FEMP Effiieny Reommention Prout Type Reommene Level Best Aville 11.0 or more EER 14.6 EER Split Systems 13.0 or more SEER
More information1 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 informationSupporting 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 information22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of:
22: Union Fin CS 473u - Algorithms - Spring 2005 April 14, 2005 1 Union-Fin We wnt to mintin olletion of sets, uner the opertions of: 1. MkeSet(x) - rete set tht ontins the single element x. 2. Fin(x)
More informationChemistry Practice Exam
Chemistry Prtie Exm 1 2 3 Whih of the following is n element? A rop of merury. A splinter of woo. A rystl of sugr. A rop of wter. Whih of the following nswers ontins only elements? Soium, soium hlorie,
More informationChem Homework 11 due Monday, Apr. 28, 2014, 2 PM
Chem 44 - Homework due ondy, pr. 8, 4, P.. . Put this in eq 8.4 terms: E m = m h /m e L for L=d The degenery in the ring system nd the inresed sping per level (4x bigger) mkes the sping between the HOO
More informationSupplementary Information. High-Performance Mixed-Dimensional Perovskite Solar Cells with Enhanced
Eletroni Supplementry Mteril (ESI) for Journl of Mterils Chemistry A. This journl is The Royl Soiety of Chemistry 201 Supplementry Informtion High-Performne Mixed-Dimensionl Perovskite Solr Cells with
More informationSEMI-EXCIRCLE OF QUADRILATERAL
JP Journl of Mthemtil Sienes Volume 5, Issue &, 05, Pges - 05 Ishn Pulishing House This pper is ville online t http://wwwiphsiom SEMI-EXCIRCLE OF QUADRILATERAL MASHADI, SRI GEMAWATI, HASRIATI AND HESY
More informationAluminizing of Nickel-Based Superalloys Grade IN 738 by Powder Liquid Coating
Mterils Trnstions, Vol. 51, No. 5 (2010) pp. 982 to 987 #2010 The Jpn Institute of Metls Aluminizing of Nikel-Bse Superlloys Gre IN 738 y Power Liqui Coting Ptm Visuttipitukul 1; *, Nuntiy Limvnutpong
More information6.3.2 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 information6.3.2 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 informationSupporting Information
Supporting Informtion Control Synthesis of Tuulr Hyperrosslinke Polymers for Highly Porous Cron Nnotues Xioyn Wng, Pn Mu, Chong Zhng, Yu Chen, Jinghui Zeng, Feng Wng n Ji-Xing Jing *, Shnxi Key Lortory
More informationThe Stirling Engine: The Heat Engine
Memoril University of Newfounln Deprtment of Physis n Physil Oenogrphy Physis 2053 Lortory he Stirling Engine: he Het Engine Do not ttempt to operte the engine without supervision. Introution Het engines
More informationINVESTIGATION OF THE OSL SIGNAL FROM VERY DEEP TRAPS IN NATURAL QUARTZ
Meiterrnen Arheology n Arheometry, Vol. 010, No., pp. 9 98 Copyright 010 MAA Printe in Greee. All rights reserve. INVESTIGATION OF THE SIGNAL FROM VERY DEEP TRAPS IN NATURAL QUARTZ G. Kitis 1, N.G. Kiyk,
More informationSurds and Indices. Surds and Indices. Curriculum Ready ACMNA: 233,
Surs n Inies Surs n Inies Curriulum Rey ACMNA:, 6 www.mthletis.om Surs SURDS & & Inies INDICES Inies n surs re very losely relte. A numer uner (squre root sign) is lle sur if the squre root n t e simplifie.
More informationSOME COPLANAR POINTS IN TETRAHEDRON
Journl of Pure n Applie Mthemtis: Avnes n Applitions Volume 16, Numer 2, 2016, Pges 109-114 Aville t http://sientifivnes.o.in DOI: http://x.oi.org/10.18642/jpm_7100121752 SOME COPLANAR POINTS IN TETRAHEDRON
More informationNecessary and sucient conditions for some two. Abstract. Further we show that the necessary conditions for the existence of an OD(44 s 1 s 2 )
Neessry n suient onitions for some two vrile orthogonl esigns in orer 44 C. Koukouvinos, M. Mitrouli y, n Jennifer Seerry z Deite to Professor Anne Penfol Street Astrt We give new lgorithm whih llows us
More informationNumbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point
GCSE C Emple 7 Work out 9 Give your nswer in its simplest form Numers n inies Reiprote mens invert or turn upsie own The reiprol of is 9 9 Mke sure you only invert the frtion you re iviing y 7 You multiply
More informationI 3 2 = I I 4 = 2A
ECE 210 Eletril Ciruit Anlysis University of llinois t Chigo 2.13 We re ske to use KCL to fin urrents 1 4. The key point in pplying KCL in this prolem is to strt with noe where only one of the urrents
More informationA Straightforward Protocol for the Highly Efficient Preparation of. Main-chain Azo Polymers Directly from Bisnitroaromatic Compounds
Supporting Informtion A Strightforwr Protool for the Highly Effiient Preprtion of Min-hin Azo Polymers Diretly from Bisnitroromti Compouns y the Phototlyti Proess Liing Wng, Xingqing Pn, Yin Zho, Yng Chen,
More information2.4 Theoretical Foundations
2 Progrmming Lnguge Syntx 2.4 Theoretil Fountions As note in the min text, snners n prsers re se on the finite utomt n pushown utomt tht form the ottom two levels of the Chomsky lnguge hierrhy. At eh level
More information1 This question is about mean bond enthalpies and their use in the calculation of enthalpy changes.
1 This question is out men ond enthlpies nd their use in the lultion of enthlpy hnges. Define men ond enthlpy s pplied to hlorine. Explin why the enthlpy of tomistion of hlorine is extly hlf the men ond
More informationElectronic 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 informationfor all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx
Applitions of Integrtion Are of Region Between Two Curves Ojetive: Fin the re of region etween two urves using integrtion. Fin the re of region etween interseting urves using integrtion. Desrie integrtion
More information3.15 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 informationERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY
ER 316: REIO EGIEERIG HER 3 RE LWS & SOIHIOMERY 1 OULIE R 1: Rte Lws Reltive Rtes of Retion Retion Orer & Rte Lw Retion Rte onstnt, k R 2: Stoihiometry th System Stoihiometri le low System Stoihiometri
More informationCS 491G Combinatorial Optimization Lecture Notes
CS 491G Comintoril Optimiztion Leture Notes Dvi Owen July 30, August 1 1 Mthings Figure 1: two possile mthings in simple grph. Definition 1 Given grph G = V, E, mthing is olletion of eges M suh tht e i,
More informationChapter 2. Typology of Polymers
Chpter 2. Typology of Polymers 2.1 Types of bonds in Polymers 1. primry ovlent nd metlli bonds 2. hydrogen bonding 3. dipole intertion 2nd fore 4. dispersion fore (vn der Wls fore) 5. ioni bond e.g.) polyproltone,
More informationFirst 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 informationCS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014
S 224 DIGITAL LOGI & STATE MAHINE DESIGN SPRING 214 DUE : Mrh 27, 214 HOMEWORK III READ : Relte portions of hpters VII n VIII ASSIGNMENT : There re three questions. Solve ll homework n exm prolems s shown
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 informationGeneralization 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 informationMATH 122, Final Exam
MATH, Finl Exm Winter Nme: Setion: You must show ll of your work on the exm pper, legily n in etil, to reeive reit. A formul sheet is tthe.. (7 pts eh) Evlute the following integrls. () 3x + x x Solution.
More informationThermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam
April 08 Therml energy Soures of het Trnsport of het How to use het The First Lw of Thermoynmis U W Or, if we wnt to otin externl work: U W 009 vrije Universiteit msterm Close yle stem power plnt The trik
More informationThermodynamics. 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 informationReview 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 informationThe Chemical Environment about Cd atoms. in Cd Chemical Bath Treated CuInSe 2 and. CuGaSe 2
The Chemil Environment out C toms in C Chemil Bth Trete CuInSe 2 n CuGSe 2 P. Fons, K. Skuri, A. Ym, K. Mtsur, K. Iwt, T. B, Y. Kimur, H. Nknishi, n S. Niki Ntionl Institute for Avne Inustril Siene n Tehnology,
More informationStatistics in medicine
Sttistis in meiine Workshop 1: Sreening n ignosti test evlution Septemer 22, 2016 10:00 AM to 11:50 AM Hope 110 Ftm Shel, MD, MS, MPH, PhD Assistnt Professor Chroni Epiemiology Deprtment Yle Shool of Puli
More informationMomentum and Energy Review
Momentum n Energy Review Nme: Dte: 1. A 0.0600-kilogrm ll trveling t 60.0 meters per seon hits onrete wll. Wht spee must 0.0100-kilogrm ullet hve in orer to hit the wll with the sme mgnitue of momentum
More informationNow we must transform the original model so we can use the new parameters. = S max. Recruits
MODEL FOR VARIABLE RECRUITMENT (ontinue) Alterntive Prmeteriztions of the pwner-reruit Moels We n write ny moel in numerous ifferent ut equivlent forms. Uner ertin irumstnes it is onvenient to work with
More informationTitle. CitationCatalysis Science & Technology, 2(8): Issue Date Doc URL. Rights. Type. Additional There Information
Title Remrkle enhnement of Cu tlyst tivity in hy Wng, Y-nn; Dun, Xinping; Zheng, Jinwei; Lin, H Author(s) Askur, Kiyotk CittionCtlysis Siene & Tehnology, 2(8): 1637-1639 Issue Dte 2012-08 Do URL http://hl.hnle.net/2115/52662
More informationA 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 informationNON-DETERMINISTIC FSA
Tw o types of non-determinism: NON-DETERMINISTIC FS () Multiple strt-sttes; strt-sttes S Q. The lnguge L(M) ={x:x tkes M from some strt-stte to some finl-stte nd ll of x is proessed}. The string x = is
More informationDirect indirect character of the band gap in methylammonium lead iodide perovskite
Direct indirect chrcter of the nd gp in methylmmonium led iodide perovskite Eline M. Hutter 1, Mrí C. Gélvez-Rued 1, Ann Osherov 2, Vldimir Bulović 2, Ferdinnd C. Grozem 1, Smuel D. Strnks 2,3*, nd Tom
More informationSECOND 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 information8 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 informationCARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005
RLETON UNIVERSIT eprtment of Eletronis ELE 2607 Swithing iruits erury 28, 05; 0 pm.0 Prolems n Most Solutions, Set, 2005 Jn. 2, #8 n #0; Simplify, Prove Prolem. #8 Simplify + + + Reue to four letters (literls).
More informationFinite State Automata and Determinisation
Finite Stte Automt nd Deterministion Tim Dworn Jnury, 2016 Lnguges fs nf re df Deterministion 2 Outline 1 Lnguges 2 Finite Stte Automt (fs) 3 Non-deterministi Finite Stte Automt (nf) 4 Regulr Expressions
More informationSpacetime 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 informationActivities. 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 informationAP CALCULUS Test #6: Unit #6 Basic Integration and Applications
AP CALCULUS Test #6: Unit #6 Bsi Integrtion nd Applitions A GRAPHING CALCULATOR IS REQUIRED FOR SOME PROBLEMS OR PARTS OF PROBLEMS IN THIS PART OF THE EXAMINATION. () The ext numeril vlue of the orret
More informationFactorising FACTORISING.
Ftorising FACTORISING www.mthletis.om.u Ftorising FACTORISING Ftorising is the opposite of expning. It is the proess of putting expressions into rkets rther thn expning them out. In this setion you will
More informationSOME INTEGRAL INEQUALITIES FOR HARMONICALLY CONVEX STOCHASTIC PROCESSES ON THE CO-ORDINATES
Avne Mth Moels & Applitions Vol3 No 8 pp63-75 SOME INTEGRAL INEQUALITIES FOR HARMONICALLY CONVE STOCHASTIC PROCESSES ON THE CO-ORDINATES Nurgül Okur * Imt Işn Yusuf Ust 3 3 Giresun University Deprtment
More informationSolids of Revolution
Solis of Revolution Solis of revolution re rete tking n re n revolving it roun n is of rottion. There re two methos to etermine the volume of the soli of revolution: the isk metho n the shell metho. Disk
More informationCS 573 Automata Theory and Formal Languages
Non-determinism Automt Theory nd Forml Lnguges Professor Leslie Lnder Leture # 3 Septemer 6, 2 To hieve our gol, we need the onept of Non-deterministi Finite Automton with -moves (NFA) An NFA is tuple
More informationCompression of Palindromes and Regularity.
Compression of Plinromes n Regulrity. Kyoko Shikishim-Tsuji Center for Lierl Arts Eution n Reserh Tenri University 1 Introution In [1], property of likstrem t t view of tse is isusse n it is shown tht
More informationH 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 information6.5 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 information1 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 informationA Primer on Continuous-time Economic Dynamics
Eonomis 205A Fll 2008 K Kletzer A Primer on Continuous-time Eonomi Dnmis A Liner Differentil Eqution Sstems (i) Simplest se We egin with the simple liner first-orer ifferentil eqution The generl solution
More informationEquivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts.
Frtions equivlent frtions Equivlent frtions hve the sme vlue ut they hve ifferent enomintors. This mens they hve een ivie into ifferent numer of prts. Use the wll to fin the equivlent frtions: Wht frtions
More informationSupporting 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 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 informationU Q W The First Law of Thermodynamics. Efficiency. Closed cycle steam power plant. First page of S. Carnot s paper. Sadi Carnot ( )
0-9-0 he First Lw of hermoynmis Effiieny When severl lterntive proesses involving het n work re ville to hnge system from n initil stte hrterize y given vlues of the mrosopi prmeters (pressure p i, temperture
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 informationCryogenics 49 (2009) Contents lists available at ScienceDirect. Cryogenics. journal homepage:
Cryogenis 49 (2009) 202 209 Contents lists ville t SieneDiret Cryogenis journl homepge: www.elsevier.om/lote/ryogenis Design prmeter evlution of metl reote Fier Brgg Grting sensors for mesurement of ryogeni
More informationResearch Article Electrodeposition and Low-Temperature Post-Treatment of Nanocrystalline SnO 2 Films for Flexible Dye-Sensitized Solar Cells
Nnomterils Volume 2012, Artile ID 536810, 6 pges oi:10.1155/2012/536810 Reserh Artile Eletroeposition n Low-Temperture Post-Tretment of Nnorystlline SnO 2 Films for Flexile Dye-Sensitize Solr Cells Shengjun
More informationSystem Validation (IN4387) November 2, 2012, 14:00-17:00
System Vlidtion (IN4387) Novemer 2, 2012, 14:00-17:00 Importnt Notes. The exmintion omprises 5 question in 4 pges. Give omplete explntion nd do not onfine yourself to giving the finl nswer. Good luk! Exerise
More informationApplied. Grade 9 Assessment of Mathematics. Multiple-Choice Items. Winter 2005
Applie Gre 9 Assessment of Mthemtis Multiple-Choie Items Winter 2005 Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves remin the sme. . Multiple-Choie
More informationILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS
ILLUSTRATING THE EXTENSION OF A SPECIAL PROPERTY OF CUBIC POLYNOMIALS TO NTH DEGREE POLYNOMIALS Dvid Miller West Virgini University P.O. BOX 6310 30 Armstrong Hll Morgntown, WV 6506 millerd@mth.wvu.edu
More informationArrow 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 informationDIFFERENCE BETWEEN TWO RIEMANN-STIELTJES INTEGRAL MEANS
Krgujev Journl of Mthemtis Volume 38() (204), Pges 35 49. DIFFERENCE BETWEEN TWO RIEMANN-STIELTJES INTEGRAL MEANS MOHAMMAD W. ALOMARI Abstrt. In this pper, severl bouns for the ifferene between two Riemn-
More informationANALYSIS 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 informationCSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4
Am Blnk Leture 13 Winter 2016 CSE 332 CSE 332: Dt Astrtions Sorting Dt Astrtions QuikSort Cutoff 1 Where We Are 2 For smll n, the reursion is wste. The onstnts on quik/merge sort re higher thn the ones
More informationZSM-5 zeolite single crystals with b-axis-aligned mesoporous channels as an efficient catalyst for conversion of bulky organic molecules
Supporting informtion ZSM-5 zeolite single rystls with -xis-ligne mesoporous hnnels s n effiient tlyst for onversion of ulky orgni moleules Fujin Liu,,e Tom Willhmmr, Ling Wng, Longfeng Zhu, Qi Sun, Xingju
More informationLesson 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 informationRSC Advances.
RSC Avnes This is n Aepte Mnusript, whih hs een through the Royl Soiety of Chemistry peer review proess n hs een epte for pulition. Aepte Mnusripts re pulishe online shortly fter eptne, efore tehnil eiting,
More informationNEW 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 informationTIME-VARYING AND NON-LINEAR DYNAMICAL SYSTEM IDENTIFICATION USING THE HILBERT TRANSFORM
Proeeings of ASME VIB 5: th Biennil Conferene on Mehnil Virtion n Noise Septemer 4-8, 5 Long Beh, CA, USA DETC5-84644 TIME-VARYING AND NON-LINEAR DYNAMICAL SYSTEM IDENTIFICATION USING THE HILBERT TRANSFORM
More informationCIT 596 Theory of Computation 1. Graphs and Digraphs
CIT 596 Theory of Computtion 1 A grph G = (V (G), E(G)) onsists of two finite sets: V (G), the vertex set of the grph, often enote y just V, whih is nonempty set of elements lle verties, n E(G), the ege
More informationThe 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, g. Exercise 1. Generator polynomials of a convolutional code, given in binary form, are g. Solution 1.
Exerise Genertor polynomils of onvolutionl ode, given in binry form, re g, g j g. ) Sketh the enoding iruit. b) Sketh the stte digrm. ) Find the trnsfer funtion T. d) Wht is the minimum free distne of
More informationProject 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 informationGM1 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 informationPOSITIVE IMPLICATIVE AND ASSOCIATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
Bull. Koren Mth. So. 35 (998), No., pp. 53 6 POSITIVE IMPLICATIVE AND ASSOCIATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS YOUNG BAE JUN*, YANG XU AND KEYUN QIN ABSTRACT. We introue the onepts of positive
More informationCounting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs
Isomorphism of Grphs Definition The simple grphs G 1 = (V 1, E 1 ) n G = (V, E ) re isomorphi if there is ijetion (n oneto-one n onto funtion) f from V 1 to V with the property tht n re jent in G 1 if
More informationSIMPLE NONLINEAR GRAPHS
S i m p l e N o n l i n e r G r p h s SIMPLE NONLINEAR GRAPHS www.mthletis.om.u Simple SIMPLE Nonliner NONLINEAR Grphs GRAPHS Liner equtions hve the form = m+ where the power of (n ) is lws. The re lle
More informationNovel 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 informationTechnology Mapping Method for Low Power Consumption and High Performance in General-Synchronous Framework
R-17 SASIMI 015 Proeeings Tehnology Mpping Metho for Low Power Consumption n High Performne in Generl-Synhronous Frmework Junki Kwguhi Yukihie Kohir Shool of Computer Siene, the University of Aizu Aizu-Wkmtsu
More informationsupplementary information
DOI: 1.138/n2131 Protein levels (% of ) e Full-length protein remining (%) 1 5 1 5 1 1 5 5 Hs7 Syt1 Syt2 β-atin CSP +tsyn Hs7 Syt1 Syt2 P4 rin.1.1.1 1 [Trypsin] (g/l) f +tsyn SNARE-omplexes remining (%)
More informationLecture 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 informationParticle Lifetime. Subatomic Physics: Particle Physics Lecture 3. Measuring Decays, Scatterings and Collisions. N(t) = N 0 exp( t/τ) = N 0 exp( Γt/)
Sutomic Physics: Prticle Physics Lecture 3 Mesuring Decys, Sctterings n Collisions Prticle lifetime n with Prticle ecy moes Prticle ecy kinemtics Scttering cross sections Collision centre of mss energy
More informationArrow 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 informationSupporting Information
Supporting Informtion Ultrfst nd Stble CO Cpture Using Alkli Metl Slt-Promoted MgO-CCO 3 Sorbents Hongjie Cui, Qiming Zhng, Yunwu Hu, Chong Peng, Xingchen Fng, Zhenmin Cheng, Vldimir V. Glvit nd Zhiming
More informationResearch Article. ISSN (Print) *Corresponding author Askari, A
Sholrs Journl of Engineering n Tehnology (SJET) Sh. J. Eng. Teh., 4; (6B):84-846 Sholrs Aemi n Sientifi Pulisher (An Interntionl Pulisher for Aemi n Sientifi Resoures) www.sspulisher.om ISSN 3-435X (Online)
More information