Raman imaging for surface characterisation of annealed electrical steel surfaces
|
|
|
- Ashlee Cannon
- 10 years ago
- Views:
Transcription
1 Phy. Sttu Solidi A 211, No. 6, (2014) / DOI /p Prt of Specil Iue on Engineering of Functionl Interfce Rmn imging for urfce chrcterition of nneled electricl teel urfce Crin Hmbrock 1,2, Kriztin Vincze-Miny 3, Sbine Hild 3, nd Achim Wlter Hel *,1,4 1 Intitute for Chemicl Technology of Inorgnic Mteril, Johnne Kepler Univerity Linz, Altenberger Str. 69, 4040 Linz, Autri 2 Voetlpine Sthl GmbH, Reerch & Development, voetlpine-strße 3, 4020 Linz, Autri 3 Intitute for Polymer Science, Johnne Kepler Univerity Linz, Altenberger Str. 69, 4040 Linz, Autri 4 Chritin Doppler Lbortory for Combintoril Oxide Chemitry t the Intitute for Chemicl Technology of Inorgnic Mteril, Johnne Kepler Univerity Linz, Altenberger Str. 69, 4040 Linz, Autri Received 4 September 2013, revied 17 Februry 2014, ccepted 7 Mrch 2014 Publihed online 25 April 2014 Keyword nneling, energy diperive X-ry pectrocopy, Rmn imging, teel, X-ry photoelectron pectrocopy * Correponding uthor: e-mil [email protected], Phone: þ , Fx: þ phyic ttu olidi ppliction nd mteril cience Rmn pectrocopy i powerful tool in the determintion of biologicl nd polymeric mple. However, lo the ue of Rmn pectrocopy for inorgnic ppliction like for the determintion of different iron oxide fter pecific corroion experiment or meteorite compoition i common. In thi work, the method of Rmn imging h been ued for urfce chrcterition of high temperture long-term nneled teel mple function of the dew point of the nneling tmophere. The invetigtion reveled tht t high dew point, oxide (Al 2 O 3, SiO 2 ), ilicte (Fe 2 SiO 4 ) nd pinel phe (Fe 2 SiO 4 -pinel) could be identified by Rmn imging where t low dew point the rectivity of luminium with nitrogen nd oxygen w preferred nd the phe of luminium nitride (AlN) well ome luminium oxide (Al 2 O 3 ) could be detected. The Rmn imging w upported by EDX mpping to obtin the elementl compoition of the urfce nd by XPS meurement to get n inight into the bonding tte of the element which both confirmed the reult obtined vi Rmn imging. 1 Introduction Rmn pectrocopy w introduced in the 1960 nd mny dvntge nd propect hve been evluted ince then. Tody, Rmn pectrocopy cn be ued in mny different field of ppliction, like for biologicl, polymeric or inorgnic ubtnce. A chrcterition of compound by ex itu meurement fter the tril [1, 2] nd mechnitic tudy of behviour in pecific environment by in itu meurement [3, 4] re min ubject tht re decribed vi Rmn pectrocopy. For inorgnic ubtnce, the comprehenion of corroion mechnim on rcheologicl rtefct [5 7] nd the tructurl chnge or the ctive ite during ctlytic ctivity [4, 8 10] on the one hnd nd the chrcterition of the compound formed in pecific environment, uch different iron (hydro-)oxide fter expoure to lty oil [11, 12], chloride olution [3], high temperture [13] or fter contct with liquid metl like zinc [14] on the other hnd re necery to be known for complete undertnding of the mechnim. There re mny dvntge of Rmn pectrocopy, e.g. tht no mple preprtion i necery before the meurement nd tht the method i non-detructive [15]. The min dvntge i it high opticl reolution becue monochromtic light (ler) i ued for excittion. The combintion with confocl microcope mke it poible to reduce bckground ignl, to provide n enhnced contrt nd t the me time to decree the cquiition time of individul pectr [16]. The ft cquiition of pectr nd the enhnced enitivity re epecilly ueful when performing Rmn imging. With thi method it i poible to obtin ditribution mpping of different phe [5 6, 17] nd lo emi-quntittive reult of different compound by clcultion [5, 18]. Rmn imging therefore combine the dvntge of identifiction of pecie vi Rmn pectrocopy with the poibility of quntifiction of e.g. iron (hydro-) oxide fter the pecific corroion experiment or long-term expoure to ir [6, 17, 19]. In thi work, high grde electricl teel, teel contining up to 5% lloying element, minly ilicon, luminium nd mngnee, i ued. Electricl teel i
2 phyic p ttu olidi 1430 C. Hmbrock et l.: Surfce chrcterition of nneled electricl teel urfce necery for the efficient production of electric cr, wind power plnt or genertor nd the demnd for better qulity electricl teel i contntly riing. Thi i uully ccompnied by higher mount of lloying element but lo the production prmeter re of gret importnce. To uccefully produce non-grin oriented electricl teel t high temperture of bout 950 8C [20, 21], the oxidtion of the electricl teel under given tmophere nd dew point h to be tken into ccount. Thi oxidtion trongly influence the qulity nd the corroion of the teel, cn be een lo in other field of ppliction [22, 23]. Thi pper focue on the chrcterition of electricl teel urfce fter long-term high temperture nneling. Rmn imging i the method of choice ince the rection product nmely oxide of the lloying element re not found with other urfce nlyticl method; they rther determine the elementl compoition only. The novelty of thi pproch i the cle chrcterition on electricl teel by Rmn imging. In contrt to the homogeneou film formed on high lloyed teel uch tinle teel (Cr Ni) inhomogeneou thicker cle frgment re formed on electricl teel (Al Mn Si) for which phe identifiction i deirble. Such chrcterition h o fr not been ccomplihed nd will primrily help to undertnd nd chrcterie the phe exiting cloe to the thermodynmic equilibrium fter the nneling procedure. If thi i known, ubequent experimentl kinetic pproch cn be choen to evlute the rective pecie during high temperture nneling which will help to improve the production of electricl teel t given temperture. 2 Experimentl 2.1 Smple preprtion The electricl teel mteril ued for thi invetigtion w upplied by voetlpine Sthl GmbH. The mple were tken before the finl nneling tep (dimenion mm 2 ) with thickne of 0.5 mm to be ued for different lbortory nneling procedure. The compoition of the tndrd indutril high grde electricl teel i hown in Tble 1. Before the ubequent nneling tep in the lbortory furnce, the teel w cut into mple with the dimenion of mm 2, engrved nd clened in n lkline olution t 65 8C. The long-term nneling for 2 h t 950 8C h been performed in two chmber furnce correponding to two different tmophere with two different dew point meured by dew point mirror (Generl Etern, 1311DR). The mple were plced on mple holder nd nlyed fter nneling. The prmeter for the nneling including the heting nd cooling rte of the furnce cn be found in Tble Chrcterition method All chrcterition were performed on the urfce of the teel tht hd not been in contct with the mple holder. After nneling, the mple were kept in dry tmophere until the ctul meurement. No further mple preprtion or modifiction w ued before the nlyi vi Rmn imging or FEG- SEM-EDX (Field Emiion Gun Scnning Electron Microcope Energy Diperive X-ry detector). For the Rmn imging WITec Alph 300R confocl Rmn microcope with Nd:YAG ler (523 nm) t power of 30 mw w ued. A Nikon objective len (mgnifiction 20 ir, NA ¼ 0.8) provided pot ize of 1.6 mm. Thi etup enured lterl ptil reolution of 800 nm (x, y nd z xi). The ptil reolution in z-xi w bout 500 nm. The Ryleigh pek w uppreed by uing hologrphic edge filter. Applying diffrction grting with 600 groove per cm, pectrl reolution of pproximtely 3cm 1 w chieved for full pectrum rnging from 0 to 3750 cm 1. The rnge bove 2000 cm 1 will not be hown no pek could be oberved there. For Rmn imging, motoried XY piezo tge w ued to cn the mple. The entire pectrum of the confocl Rmn imge w collected with n integrtion time of 0.1 every 0.25 mm in n re of mm 2 (equivlent to 14,400 individul pectr, one pectrum for ech point meured). After dt cquiition, ll pectr were proceed by the WITec Project Softwre which llowed integrting individul pek to obtin n intenity mpping of ech pek correlted to the poition nlyed on the mple re. The brighter the pot on the mple re the higher i the integrted re of the individul pek which i directly correlted to the concentrtion of thi compound. Tble 1 Compoition of the tndrd high grde electricl teel. element Si Al Mn Cr P C Ti S wt% <0.02 <0.02 <0.005 <0.005 <0.005 Tble 2 Anneling prmeter for the two different chmber furnce (furnce 1 correponding to mple 1; furnce 2 correponding to mple 2). furnce tmophere temperture (8C) nneling time (h) heting-cooling rte (8C min 1 ) 1 10% H 2 in N % H 2 in N þ10 (etimted)
3 Originl Pper Phy. Sttu Solidi A 211, No. 6 (2014) 1431 The electron microcopic imge of the urfce h been tken with the econdry electron (SE) detector on FEG- SEM Supr 35 from ZEISS t n electron bem energy of 5 kev, the cro-ectionl imge h been tken with the bckcttered electron (BSE) detector on the me intrument. The elementl compoition h been monitored with n EDX mpping on the me urfce re uing n EDAX ytem with Si(Li)-detector 10 mm 2 uing n electron bem energy of 15 kev. A imilr mgnifiction of bout mm 2 h been choen for the EDX mpping for better comprion of the two mpping. The XPS meurement complementry method h been performed with Thet Probe (Thermofiher, UK) operted with the Avntge oftwre to confirm the compoition obtined vi Rmn nd EDX mpping. The X-ry ource w monochromted Al K line ( ev) with pot ize of >300 mm nd power of 75 W. For chrge neutrlition flood gun FG02 w ued. The urvey cn were performed t p energy of 200 ev with tep ize of 1 ev in binding energy nd dwell time of 50 m. The quntifiction w ccomplihed by uing Scofield enitivity fctor [24]. 3 Reult nd dicuion Two different lbortory nneling condition hve been choen to evlute on the one hnd the urfce compoition nd on the other hnd the dvntge nd poibilitie of Rmn pectrocopy. The mteril for both condition et of nneling were the me but the nneling prmeter differed widely in term of dew point, mple 1 w nneled t very low dew point of 50 8C where mple 2 w nneled t dew point of bout þ10 8C. The other prmeter like temperture (950 8C), nneling time (2 h) nd tmophere (10% H 2 in N 2 ) were kept the me for both mple. 3.1 Smple 1 (nneling t 950 8C for 2 h t dew point of 50 8C) The urfce propertie of mple 1 were chrcteried by uing Rmn imging. The imge nd pectr re hown in Fig. 1 reveling different pek with vrying intenity over the nlyed re. The higher the concentrtion of one pek (correlted to one pecific compound) the brighter i the intenity of the pot in the Rmn imge. Figure 1 how the Rmn imge of the pek t 618 cm 1 nd the correlted Rmn pectrum cn be found in Fig. 1b. Thi pek nd lo pek of the Rmn pectrum hown in Fig. 1d (correponding to the Rmn imge in Fig. 1c) cn be correlted to different crytlline tructure of luminium nitride [25]. Thi compound w not found in the minerl dt be [26] but becue of the elementl compoition obtined vi EDX mpping (ee Fig. 4) the compoition w confirmed nd pecific literture concerning Rmn pectrocopy of luminium nitride could be erched for reveling three chrcteritic pek [25, 27]. Furthermore the publiction were deling with the Rmn hift becue of difference in orienttion of the AlN crytl or in the thickne of the AlN lyer which did not occur here. Figure 1e diply the Rmn mpping of the bnd t 219 cm 1, where Fig. 1f how the correponding Rmn pectrum of the bright re. Correlting the pectrum to reference pectr, the bnd t 219 cm 1 nd lo the bnd t 286 nd 1305 cm 1 could be relted to hemtite [28]. The mll pek t round 380 cm 1 (ee Fig. 1f) w not lbelled but it could be correlted to n iron hydroxide (FeOOH) [28]. Thoe iron (hydro-)oxide probbly evolved from corroion of the urfce t mbient temperture the tmophere w protective for iron during the nneling tep. The tmophere w lo protective for other lloying element in the electricl teel, like ilicon nd mngnee, becue of the low oxygen prtil preure t dew point of 50 8C (correponding to preure of P). Only the formtion of luminium nitride (nd ome oxide, ee Fig. 11) w fvoured. The SEM imge of the urfce re tht h lredy been nlyed vi Rmn imging i diplyed in Fig. 2. The urfce tructure ppered rther homogeneou; only t ome pot difference in the urfce tructure w viible which grew during nneling (ee Fig. 2 in the upper middle of the imge). The very low dew point of bout 50 8C nd the protective tmophere of 10% H 2 in N 2 eem to influence the urfce tructure directly. The dotted tructure viible on the urfce of the mple correpond well to the Rmn imge in Fig. 1 nd c. Looking t the nneled electricl teel in croectionl view (ee Fig. 3) reveled homogeneou thickne ditribution of the urfce lyer. The oxidtion depth w le thn 1 mm nd only compoed of luminium with nitrogen nd ome oxygen (ee Fig. 11). When looking t the EDX mpping of the homogeneou mple urfce, the elementl nlyi reveled high concentrtion of luminium nd nitrogen (ee Fig. 4 nd b). Thi doe not only correpond very well to the informtion obtined vi Rmn imging but lo the pttern with mll dot, viible in Fig. 4, i the me. Thi pttern cn lo be detected when looking t the element iron (Fig. 5) nd when compring luminium with iron it cn be een tht the iron content get lower with higher luminium content, nd vice ver. Thi cn be explined when looking t the penetrtion depth of both method the Rmn imging i urfce enitive method which penetrte ome nm, where the EDX mpping h lightly higher penetrtion depth of bout 1.5 mm t the energy ued. The deeper the poibility of penetrtion into the urfce, the more iron from the ubtrte cn be detected. Due to the rther thin lyer of <1 mm (reveled by cro-ectionl nlyi, ee Fig. 3) the content of iron detected by EDX mpping i high. Since Rmn imging h n even mller penetrtion depth, the chrcterition of the urfce lyer with it Rmn-ctive ignl w ucceful. On top of thi homogeneou lyer of AlN n pprently different egment i viible, probbly grown during nneling. When looking t the EDX mpping performed on the urfce, the elementl compoition could be identified
4 phyic p ttu olidi 1432 C. Hmbrock et l.: Surfce chrcterition of nneled electricl teel urfce Figure 1 () nd (b) Rmn imge nd Rmn pectrum of the pek integrl of the pek t 618 cm 1, (c) nd (d) Rmn imge nd Rmn pectrum of the pek integrl of the pek t 666 cm 1 nd the ocited pek t 919 cm 1. (e) nd (f) Rmn imge nd Rmn pectrum of the pek integrl of the pek t 219 cm 1 nd the ocited pek t 286 nd 1305 cm 1. being lmot pure iron with ome ilicon content (ee Fig. 5 for iron, EDX mpping of ilicon i not hown here). Thi prt of the mple ppered drk in the Rmn mpping (Fig. 1 nd c) becue pure iron h no ctive bnd in Rmn pectrocopy. Thi my be didvntge when looking t teel mple but here the focu w lid on the identifiction of phe grown during nneling. Additionlly the meurement w ey to be performed (no mple preprtion necery) nd with the help of complementry method (e.g. EDX mpping) thi deficit of the method w compented. The Rmn imge in Fig. 1e reveled ome bright pot which cn be directly correlted to high mount of oxygen in the mple cn be een when looking t Fig. 5b. A the pek in the Rmn pectrum were correlted to ome iron oxide, thi could be confirmed with the EDX mpping well.
5 Originl Pper Phy. Sttu Solidi A 211, No. 6 (2014) 1433 Figure 3 SEM imge of the cro-ection of the electricl teel nneled for 2 h t 950 8C with dp of 50 8C in n tmophere of 10% H 2 in N 2 (15 kev, BSE detector, cle 2 mm). Figure 2 SEM imge of the urfce of the electricl teel nneled for 2 h t 950 8C with dp of 50 8C in n tmophere of 10% H 2 in N 2 (15 kev, SE detector, cle 10 mm). 3.2 Smple 2 (nneling t 950 8C for 2 h t dew point of bout þ10 8C) The econd mple chrcteried by Rmn imging w prepred t different dew point (bout þ10 8C inted of 50 8C) in the me nneling tmophere (10% H 2 in N 2, 950 8C). In thi tmophere, higher mount of oxygen (correponding to prtil preure of P) w vilble which reulted in different phe on the urfce. In generl, more complex oxide nd no nitride compound could be found. The reult of the Rmn mpping nd the correponding Rmn pectr re hown in Fig. 6. In the re from 0 to Figure 4 EDX mpping of luminium Al () nd tomic nitrogen N (b) tken t n electron bem energy of 15 kev with econdry electron detector. Figure 5 EDX mpping of iron Fe () nd tomic oxygen O (b) tken t n electron bem energy of 15 kev with econdry electron detector.
6 phyic p ttu olidi 1434 C. Hmbrock et l.: Surfce chrcterition of nneled electricl teel urfce Figure 6 () nd (b) Rmn imge nd Rmn pectr of the pek integrl of the pek t 826 cm 1 nd the ocited pek t 926 nd 845 cm 1 ; (c) nd (d) Rmn imge nd Rmn pectr of the pek integrl of the pek t 710 cm 1 nd the ocited pek t 578 nd 1305 cm cm 1 n extenive bckground correction mde it impoible to evlute the pek in tht prt of the pectrum. The pek bove thi Rmn hift were correlted to different compound. Figure 6 nd b how the Rmn imge of the min pek t 826 cm 1 nd the Rmn pectrum of thi region. The mximum of the bnd t 826 cm 1 nd it ymmetricl hpe with houlder t 845 cm 1 well correponding pek t 926 cm 1 refer to ilicte tructure. The elementl compoition of the ilicte w detected vi EDX mpping where no mgneium nd only rther low content of mngnee (contined in forterite nd kirchteinite, repectively) could be found. The pek were therefore identified the minerl fylite [29] which i lo in ccordnce with the literture bout high temperture oxidtion t high oxygen content [30]. The Rmn imge diplyed in Fig. 6c nd it correponding Rmn pectrum (Fig. 6d) how three different pek t 578, 710 nd 1305 cm 1. The pek could not ll be correlted to one pecie but the pek t 578 nd 1305 cm 1 indicted mll mount of hemtite. Although the dew point for the nneling of thi mple w higher thn for the firt mple, the nneling tmophere w till protective for iron. Therefore n tmopheric corroion fter the nneling i uppoed to hve oxidied the iron lightly. Correlting the reference pectr (dtbe for minerl ee Ref. [26]) to the pek t 710 cm 1, no mtching pek could be found. In literture the devition of the Rmn hift depending on the compoition i decribed when tlking bout fylite nd forterite [18, 29]. Such mixture of compound cn be found here well, compoed of Fe 2 SiO 4 pinel (pek t bout 672 cm 1, [31, 32]), nd ilicon dioxide, correponding to the minerl tihovite/ tridymite (pek in the rnge of cm 1, [33]). The correponding confirmtion pek of ilicon dioxide i not hown here it i locted t 2924 cm 1. The compoition i uppoed to be bout 50:50 the pek with Rmn hift of 710 cm 1 i ituted in between. However, due to difference in lyer thickne or crytl orienttion, the expected Rmn hift my hve ome devition. Thoe devition cnnot be detected by chooing different reference pectr but it i helpful to look for correponding literture or to
7 Originl Pper Phy. Sttu Solidi A 211, No. 6 (2014) 1435 Figure 7 EDX mpping of iron Fe () nd oxygen O (b) tken t n electron bem energy of 15 kev with econdry electron detector. Figure 8 EDX mpping of luminium Al () nd ilicon Si (b) tken t n electron bem energy of 15 kev with econdry electron detector. implement pectrl librry on crefully prepred reference mteril with exct compoition. The formtion of fylite, ilicon dioxide nd pinel (mde of iron or ome mngnee) w reported by Preznovic nd Spiegel who decribed the hort-term oxidtion of Fe Si nd Fe Mn model lloy in ir [30]. Aluminium n element in pinel i reported to uully occur t higher temperture of bove C [34]. Depite thi fct, ome luminium could be found in the urfce tructure when compring the elementl compoition of the EDX mpping (Fig. 7 nd 8). The bright pot viible in the Rmn imge in Fig. 6c could not be evluted in term of compoition becue the intenity w due to topogrphic influence which w reveled when looking t the mple by SEM (ee Fig. 9). It w not poible to detect thi contmintion with the confocl microcope ttched to the Rmn imging Figure 9 SEM imge of the urfce of the electricl teel nneled for 2 h t 950 8C with dp of þ10 8C in n tmophere of 10% H 2 in N 2 (15 kev, SE detector, cle 10 mm).
8 phyic p ttu olidi 1436 C. Hmbrock et l.: Surfce chrcterition of nneled electricl teel urfce Figure 10 SEM imge of the cro-ection of the electricl teel nneled for 2 h t 950 8C with dp of þ10 8C in n tmophere of 10% H 2 in N 2 (15 kev, BSE detector, cle 2 mm). intrument before the performnce of the meurement. However, the effect of topogrphy on the intenity of the Rmn imging ignl mut lwy be conidered. Looking t the SEM imge of the mple in Fig. 9, differently tructured urfce cn be detected when compring it to the imge in Fig. 2. On the left nd lower prt of the imge contmintion on top of the urfce i viible. Thi contmintion led to topogrphic effect in the Rmn imging well in the EDX mpping. Therefore it w not poible to evlute thi pot in term of compoition in neither of the method ued here. Not only the urfce tructure but lo the compoition nd the cle thickne re influenced by the dew point nd the nneling tmophere. A higher dew point incree the rectivity of the lloying element in the bulk mteril. The SEM imge of the cro-ection (ee Fig. 10) reveled urfce lyer thickne of up to 10 mm, compoed of vrition of (complex) oxide. The reult of the EDX mpping of elected element cn be een in Fig. 7 nd 8. Figure 7 how the compoitionl nlyi of iron () nd oxygen (b) nd the pttern cn be directly correlted to the urfce oberved vi SEM nd Rmn imging. Figure 8 how the two element luminium () nd ilicon (b). The locl ditribution of the lt lloying element mngnee i not hown here, becue the concentrtion t the urfce w too low to be relevnt. However, the EDX mpping reveled the me pttern lredy oberved for the other element. Cro-correlting the concentrtion of the element to ech other how tht high content of minly oxygen nd ilicon (ome luminium nd mngnee) i ccompnied by low content of iron. In thi wy correltion of the compoition nd the pprent urfce tructure become poible. Thi correpond well to the umption tht prt of the urfce tructure re compoed of ilicon dioxide, iron ilicte nd iron pinel. 3.3 Integrl XPS meurement An XPS meurement h been performed on both mple to get nother prove of the compoition obtined vi Rmn imging nd EDX mpping well informtion on the binding tte of the individul element. When compring the pectr of the two mple (ee Fig. 11), the XPS nlyi how lrge difference in compoition well. The pectrum of mple 1 (Fig. 11) how very high nitrogen nd luminium content nd only mll mount of oxygen. Figure 11b revel the pectrum of the econd mple, nneled t higher dew point. Here, mny different element, very high content of oxygen nd hrdly ny nitrogen could be detected. To obtin informtion bout the binding tte of the urfce tom, the Crbon 1 reference method w ued. The C1 pek of both mple w corrected to binding energy (BE) of 285 ev nd the binding energie of the individul pek of ech mple were corrected by the me fctor well. Both pectr, epecilly the econd mple, reveled poor ignl to noie rtio. Thi i why the ccurcy of the obtined binding energie my leve ome pce for doubt. Alo the uncertinty of the meurement of 0.2 ev h to be tken into ccount when compring the vlue. In mple 1, four min pek, depite the crbon, were found. One w the luminium Al2p pek t BE of ev. Thi could be correlted to luminium nitride Figure 11 Integrl XPS meurement on () mple 1 nd (b) mple 2.
9 Originl Pper Phy. Sttu Solidi A 211, No. 6 (2014) 1437 (AlN, BE ev) nd lo the pek of nitrogen N1 t ev could be correlted to the vlue reported in literture for luminium nitride (BE ev) [35]. Due to the preence of oxygen trce t the urfce it i likely tht ome concurrent luminium oxide formtion hd tken plce. However, the ignl to noie rtio w not high enough to be ble to ditinguih the two ubtnce the binding energie re quite imilr. The mll iron Fe 2p 3/2 pek t bout ev could be correlted to mixture of hemtite nd ome mgnetite [36]. The oxygen O1 pek in the pectrum w not evluted becue it w uppoed to be mixture of the different oxide. The econd mple reveled more pek thn the firt mple becue lo ilicon Si2 nd ome mngnee Mn 2p 3/2 pek could be found. The Si2 pek t BE of ev correpond well to n olivine tructure like fylite being in concordnce lo with the O1 pek t the BE of ev [37]. Further the pek of iron Fe 2p 3/2 t BE of ev could be correlted to mixture of the binding energy of fylite nd ome iron oxide [36]. The Al 2p pek t ev could be correlted to luminium oxide [35]. The mount of mngnee nd nitrogen were too low for correltion of the binding energie. The BE-correltion of both mple re in good greement with the reult obtined vi Rmn imging. In both ce crbon could be detected on the urfce which i common nd well known effect in urfce nlytic. In the preent tudy thi vlue remin high ince no urfce clening by, e.g. Ar puttering w performed with repect to the interet in the very urfce which would hve been ffected by the puttering proce. 4 Concluion Rmn imging h been proven to be n efficient method for the identifiction of urfce tructure nd compoition on long-term high temperture nneled mple. With the vrition of the dew point of the nneling tmophere, different urfce compoition could be reveled which correponded well to literture [21 22, 30]. At high dew point (correponding to n oxygen prtil preure of bout P), ilicon nd luminium rected with oxygen in the tmophere to form oxide (Al 2 O 3, SiO 2 ), ilicte (Fe 2 SiO 4 ) nd pinel phe (Fe 2 SiO 4 -pinel). Epecilly the different ilicon phe could be eily identified nd ditinguihed vi Rmn imging. At low dew point (correponding to n oxygen prtil preure of bout P) the tmopheric condition were protective for iron nd for ilicon nd only the luminium rected with the oxygen well with the nitrogen of the nneling tmophere. Therefore not only oxide or ilicte phe but lo nitride compound uch luminium nitride (AlN) could be identified vi Rmn imging. With the help of the elementl compoition (obtined by EDX mpping) nd the bonding tte (obtined by XPS) the compoition obtined by Rmn imging could be verified nd even phe tht re not Rmn ctive, like e.g. pure iron, could be identified with the help of thoe complementry method. Acknowledgement The uthor grtefully cknowledge Mr. Ducholv of the ZONA t the Johnne Kepler Univerity Linz for hi itnce with the XPS meurement. The finncil upport by the Autrin Federl Minitry of Economy, Fmily nd Youth nd the Ntionl Foundtion for Reerch, Technology nd Development i grtefully cknowledged. Reference [1] N. H. H. Phuc, T. Okuno, A. Mtud, nd H. Muto, J. Eur. Cerm. Soc. 34, (2014). [2] J. J. Svedr-Ari, N. K. Krn, D. K. Prdhn, A. Kumr, S. Nieto, R. Thom, nd R. S. Ktiyr, J. Power Source 183, (2008). [3] X. Zhng, K. Xio, C. Dong, J. Wu, X. Li, nd Y. Hung, Eng. Fil. Anl. 18, (2011). [4] G. Metl, J. Mol. Ctl. A158, (2000). [5] J. Monnier, L. Bellot-Gurlet, D. Bron, D. Neff, I. Guillotnd, nd P. Dillmnn, J. Rmn Spectroc. 42, (2011). [6] D. Neff, L. Mellot-Gurlet, P. Dillmnn, S. Reguernd, nd L. Legrnd, J. Rmn Spectroc. 37, (2006). [7] A. Dehoux, F. Bouchelghem, Y. Berthud, D. Neff, nd V. L Hoti, Corro. Sci. 54, (2012). [8] P. C. Stir, Curr. Opin. Solid Stte Mter. Sci. 5, (2001). [9] Y. Peng, K. Li, nd J. Li, Appl. Ctl. B , (2013). [10] I. Gikoumelou, Ch. Fountzoul, Ch. Korduli, nd S. Boghoin, Ctl. Tody 73, (2002). [11] X. Nie, X. Li, C. Du, Y. Hung, nd H. Du, J. Rmn Spectroc. 40, (2009). [12] J. K. Singh nd D. D. N. Singh, Corro. Sci 56, (2012). [13] Q. Zhu, H. T. Zhu, A. K. Tieu, nd C. Kong, Corro. Sci. 53, (2011). [14] R. Autengruber, G. Luckeneder, nd A. W. Hel, Corro. Sci. 63, (2012). [15] B. Dippel, Rmn Spectrocopy, 2011, htmlen/home/dvntgeen.html [ ]. [16] T. Diening, O. Hollricher, nd J. Toporki, Confocl Rmn Microcopy, Springer Serie in Opticl Science, Vol. 158 (Springer, Heidelberg, London, 2011), p [17] N. Prvthvrthini, R. Kihor Gupt, A. Vinod Kumr,. S. Rmy, nd U. KmchiMudli, Corro. Sci. 53, (2011). [18] M. Otrooumov, nd M. del Sol Hernández-Bernl, Spectrochim. Act A 83, (2011). [19] F. Duboi, C. Mendibide, T. Pgnier, F. Perrrd, nd C. Duret, Corro. Sci. 50, (2008). [20] J. P. Anderon, in: Proc. 22nd Het Treting Society Conference nd 2nd Int. Surfce Engineering Congre, Indinpoli, USA, 2003 (ASM Interntionl, 2003), pp [21] S. C. Polinelli nd M. A. d Cunh, J. Mgn. Mgn. Mter. 304, e599 e601 (2006). [22] Y. Wouter, B. Pint, nd D. Monceu, Oxid. Met. 79, 5 6 (2013). [23] D. Vogel, A. Hotr, A. Vogel, M. Plm, nd F. U. Renner, Intermetllic 18, (2010).
10 phyic p ttu olidi 1438 C. Hmbrock et l.: Surfce chrcterition of nneled electricl teel urfce [24] J. H. Scofield, Technicl Report TID-4500/UC-34, UCRL (Lwrence Livermore Lbortory, Cliforni, USA, 1973). [25] J. Senwirtne, M. Strburg, N. Dietz, U. Hboeck, A. Hoffmnn, V. Noveki, R. Dlmu, R. Schleer, nd Z. Sitr, Phy. Sttu Solidi C 7, (2005). [26] B. Down nd S. R. Ruff, [ ] (online). [27] J. Gleize, F. Demngeot, J. Frndon, M. A. Renucci, M. Kubll, F. Semond, nd J. Mie, Phy. Sttu Solidi A 188, (2001). [28] D. L. A. de Fri, S. Venüncio Silv, nd M. T. de Oliveir, J. Rmn Spectroc. 28, (1997). [29] O. Unln, A. Yilmz, O. Bolukbi, B. Ozturk, H. H. Eenoglu, G. O. Ildiz, nd C. Y. Ornek, Spectrochim. Act A 92, (2012). [30] I. Preznovic nd M. Spiegel, Surf. Eng. 20, (2004). [31] A. E. Ringwood, Geochim. Comochim. Act 15, (1968). [32] T. Ygi, F. Mrumo, nd S.-I. Akimoto, Am. Minerl. 59, (1974). [33] K. J. Kingm nd R. J. Hemley, Am. Minerl. 79, (1994). [34] A. Di nd V. de Freit Cunh Lin, Corro. Sci. 40, (1998). [35] S. Schoer, G. Bräuchle, J. Forget, K. Kohlhof, T. Weber, J. Voigt, nd B. Ruchenbch, Surf. Cot. Technol , (1998). [36] F. T. Ymhit nd P. Hye, Appl. Surf. Sci. 254, (2008). [37] H. Seym nd M. Som, J. Chem. Soc., Frdy Trn. 81, (1985).
Solution to Problem Set 1
CSE 5: Introduction to the Theory o Computtion, Winter A. Hevi nd J. Mo Solution to Prolem Set Jnury, Solution to Prolem Set.4 ). L = {w w egin with nd end with }. q q q q, d). L = {w w h length t let
Bayesian design of stochastic inventory systems
Byein deign of tochtic inventory ytem Tpn P Bgchi [email protected] NMIMS Shirpur Cmpu, Indi 425405 Abtrct Thi pper re-viit the Byein pproch to tet it efficcy in optimlly deigning the clicl (, Q) inventory
THERMAL EXPANSION OF TUNGSTEN
. THERMAL EXPANSION OF TUNGSTEN S515 By Peter Hidnert nd W. T. Sweeney ABSTRACT This pper gives the results of n investigtion on the therml expnsion of tungsten (99.98 per cent) over vrious temperture
** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand
Modelling nd Simultion of hemicl Processes in Multi Pulse TP Experiment P. Phnwdee* S.O. Shekhtmn +. Jrungmnorom** J.T. Gleves ++ * Dpt. hemicl Engineering, Ksetsrt University, Bngkok 10900, Thilnd + Dpt.hemicl
Experiment 6: Friction
Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht
Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.
The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only
DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report
DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of
The Velocity Factor of an Insulated Two-Wire Transmission Line
The Velocity Fctor of n Insulted Two-Wire Trnsmission Line Problem Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Mrch 7, 008 Estimte the velocity fctor F = v/c nd the
ClearPeaks Customer Care Guide. Business as Usual (BaU) Services Peace of mind for your BI Investment
ClerPeks Customer Cre Guide Business s Usul (BU) Services Pece of mind for your BI Investment ClerPeks Customer Cre Business s Usul Services Tble of Contents 1. Overview...3 Benefits of Choosing ClerPeks
Basically, logarithmic transformations ask, a number, to what power equals another number?
Wht i logrithm? To nwer thi, firt try to nwer the following: wht i x in thi eqution? 9 = 3 x wht i x in thi eqution? 8 = 2 x Biclly, logrithmic trnformtion k, number, to wht power equl nother number? In
The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O
The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem Publiction
How To Set Up A Network For Your Business
Why Network is n Essentil Productivity Tool for Any Smll Business TechAdvisory.org SME Reports sponsored by Effective technology is essentil for smll businesses looking to increse their productivity. Computer
Graphs on Logarithmic and Semilogarithmic Paper
0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl
Recognition Scheme Forensic Science Content Within Educational Programmes
Recognition Scheme Forensic Science Content Within Eductionl Progrmmes one Introduction The Chrtered Society of Forensic Sciences (CSoFS) hs been ccrediting the forensic content of full degree courses
Small Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology
How To Network A Smll Business
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology
Reasoning to Solve Equations and Inequalities
Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing
All pay auctions with certain and uncertain prizes a comment
CENTER FOR RESEARC IN ECONOMICS AND MANAGEMENT CREAM Publiction No. 1-2015 All py uctions with certin nd uncertin prizes comment Christin Riis All py uctions with certin nd uncertin prizes comment Christin
Two Dimensional FEM Simulation of Ultrasonic Wave Propagation in Isotropic Solid Media using COMSOL
Excerpt from the Proceeding of the COMSO Conference 0 India Two Dimenional FEM Simulation of Ultraonic Wave Propagation in Iotropic Solid Media uing COMSO Bikah Ghoe *, Krihnan Balaubramaniam *, C V Krihnamurthy
Integration. 148 Chapter 7 Integration
48 Chpter 7 Integrtion 7 Integrtion t ech, by supposing tht during ech tenth of second the object is going t constnt speed Since the object initilly hs speed, we gin suppose it mintins this speed, but
An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process
An Undergrdute Curriculum Evlution with the Anlytic Hierrchy Process Les Frir Jessic O. Mtson Jck E. Mtson Deprtment of Industril Engineering P.O. Box 870288 University of Albm Tuscloos, AL. 35487 Abstrct
Small Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology
TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING
TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING Sung Joon Kim*, Dong-Chul Che Kore Aerospce Reserch Institute, 45 Eoeun-Dong, Youseong-Gu, Dejeon, 35-333, Kore Phone : 82-42-86-231 FAX
Physics 43 Homework Set 9 Chapter 40 Key
Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x
Study on enzyme-assisted aqueous extraction of oil from soybean
8 Journl Scientific & Industril Reserch J SCI IND RES VOL 69 NOVEMBER 2010 Vol. 69, November 2010, pp. 8-865 Study on enzyme-ssisted queous extrction oil from soyben Jun-Qing Qin*, De-Hui Qin, Xing-Mo
Small Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology
Corporate Compliance vs. Enterprise-Wide Risk Management
Corporte Complince vs. Enterprise-Wide Risk Mngement Brent Sunders, Prtner (973) 236-4682 November 2002 Agend Corporte Complince Progrms? Wht is Enterprise-Wide Risk Mngement? Key Differences Why Will
Detailed Investigation on Electromagnetic Noise in Permanent Magnet Brushless Motors for Hybrid Vehicles
Detiled Invetigtion on Electromgnetic Noie in Permnent Mgnet Bruhle Motor for Hybrid Vehicle Von der Fkultät für Ingenieurwienchften Abteilung Mchinenbu und Verfhrentechnik der Univerität Duiburg-Een zur
Space Vector Pulse Width Modulation Based Induction Motor with V/F Control
Interntionl Journl of Science nd Reserch (IJSR) Spce Vector Pulse Width Modultion Bsed Induction Motor with V/F Control Vikrmrjn Jmbulingm Electricl nd Electronics Engineering, VIT University, Indi Abstrct:
Quality Evaluation of Entrepreneur Education on Graduate Students Based on AHP-fuzzy Comprehensive Evaluation Approach ZhongXiaojun 1, WangYunfeng 2
Interntionl Journl of Engineering Reserch & Science (IJOER) ISSN [2395-6992] [Vol-2, Issue-1, Jnury- 2016] Qulity Evlution of Entrepreneur Eduction on Grdute Students Bsed on AHP-fuzzy Comprehensive Evlution
Small Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology
Vectors 2. 1. Recap of vectors
Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms
Integration by Substitution
Integrtion by Substitution Dr. Philippe B. Lvl Kennesw Stte University August, 8 Abstrct This hndout contins mteril on very importnt integrtion method clled integrtion by substitution. Substitution is
Quick Reference Guide: One-time Account Update
Quick Reference Guide: One-time Account Updte How to complete The Quick Reference Guide shows wht existing SingPss users need to do when logging in to the enhnced SingPss service for the first time. 1)
Small Businesses Decisions to Offer Health Insurance to Employees
Smll Businesses Decisions to Offer Helth Insurnce to Employees Ctherine McLughlin nd Adm Swinurn, June 2014 Employer-sponsored helth insurnce (ESI) is the dominnt source of coverge for nonelderly dults
Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.
Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd
Health insurance exchanges What to expect in 2014
Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount
Health Information Systems: evaluation and performance of a Help Desk
536 Digitl Helthcre Empowering Europens R. Cornet et l. (Eds.) 2015 Europen Federtion for Medicl Informtics (EFMI). This rticle is published online with Open Access by IOS Press nd distributed under the
PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY
MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive
Providing Protection in Multi-Hop Wireless Networks
Technicl Report, My 03 Proviing Protection in Multi-Hop Wirele Network Greg Kupermn MIT LIDS Cmrige, MA 039 [email protected] Eytn Moino MIT LIDS Cmrige, MA 039 [email protected] Atrct We conier the prolem of proviing
Enterprise Risk Management Software Buyer s Guide
Enterprise Risk Mngement Softwre Buyer s Guide 1. Wht is Enterprise Risk Mngement? 2. Gols of n ERM Progrm 3. Why Implement ERM 4. Steps to Implementing Successful ERM Progrm 5. Key Performnce Indictors
Welding procedure qualification tests of steels for hull construction and marine structures
(June 2005) (Rev.1 Nov 2006) (Rev.2 Mr 2012) Welding procedure qulifiction tests of steels for hull construction nd mrine structures 1. Scope 1.1 This document gives requirements for qulifiction tests
Rate and Activation Energy of the Iodination of Acetone
nd Activtion Energ of the Iodintion of Acetone rl N. eer Dte of Eperiment: //00 Florence F. Ls (prtner) Abstrct: The rte, rte lw nd ctivtion energ of the iodintion of cetone re detered b observing the
Review guide for the final exam in Math 233
Review guide for the finl exm in Mth 33 1 Bsic mteril. This review includes the reminder of the mteril for mth 33. The finl exm will be cumultive exm with mny of the problems coming from the mteril covered
Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
Improving Library Users' Perceived Quality, Satisfaction and Loyalty: An Integrated Measurement and Management System
Improving Librry Users' Perceived Qulity, Stisfction nd Loylty: An Integrted Mesurement nd Mngement System by Anne Mrtensen nd Lrs Gr0nholdt This rticle describes the development nd ppliction of structurl
Warm-up for Differential Calculus
Summer Assignment Wrm-up for Differentil Clculus Who should complete this pcket? Students who hve completed Functions or Honors Functions nd will be tking Differentil Clculus in the fll of 015. Due Dte:
INTERFACE INCLUSION PROBLEMS IN LAMINATED MEDIUM
JOURNAL OF THEORETICAL AND APPLIED MECHANICS 3,39,21 INTERFACE INCLUSION PROBLEMS IN LAMINATED MEDIUM Bogdn Rogowki Mrcin Pwlik Deprtment o Mechnic o Mteril, Technicl Univerity o Łódź e-mil: [email protected]
Week 11 - Inductance
Week - Inductnce November 6, 202 Exercise.: Discussion Questions ) A trnsformer consists bsiclly of two coils in close proximity but not in electricl contct. A current in one coil mgneticlly induces n
improved (2, 3, 4, 5, 7, 8, 9, 10, 11). Some of the
8 FLORIDA STATE HORTICULTURAL SOCIETY, 963 EVALUATING SPRAY EQUIPMENT FOR FLORIDA CITRUS R. F. Brooks, W. L. Thompson nd P. T. Jutrs Florid Citrus Experiment Sttion Lke Alfred The first successful, lrge,
REDUCTION OF TOTAL SUPPLY CHAIN CYCLE TIME IN INTERNAL BUSINESS PROCESS OF REAMER USING DOE AND TAGUCHI METHODOLOGY. Abstract. 1.
International Journal of Advanced Technology & Engineering Reearch (IJATER) REDUCTION OF TOTAL SUPPLY CHAIN CYCLE TIME IN INTERNAL BUSINESS PROCESS OF REAMER USING DOE AND Abtract TAGUCHI METHODOLOGY Mr.
AntiSpyware Enterprise Module 8.5
AntiSpywre Enterprise Module 8.5 Product Guide Aout the AntiSpywre Enterprise Module The McAfee AntiSpywre Enterprise Module 8.5 is n dd-on to the VirusScn Enterprise 8.5i product tht extends its ility
ORBITAL MANEUVERS USING LOW-THRUST
Proceedings of the 8th WSEAS Interntionl Conference on SIGNAL PROCESSING, ROBOICS nd AUOMAION ORBIAL MANEUVERS USING LOW-HRUS VIVIAN MARINS GOMES, ANONIO F. B. A. PRADO, HÉLIO KOII KUGA Ntionl Institute
Lecture 3 Gaussian Probability Distribution
Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike
Binary Representation of Numbers Autar Kaw
Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse- rel number to its binry representtion,. convert binry number to n equivlent bse- number. In everydy
Health insurance marketplace What to expect in 2014
Helth insurnce mrketplce Wht to expect in 2014 33096VAEENBVA 06/13 The bsics of the mrketplce As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum
Small Business Cloud Services
Smll Business Cloud Services Summry. We re thick in the midst of historic se-chnge in computing. Like the emergence of personl computers, grphicl user interfces, nd mobile devices, the cloud is lredy profoundly
JaERM Software-as-a-Solution Package
JERM Softwre-s--Solution Pckge Enterprise Risk Mngement ( ERM ) Public listed compnies nd orgnistions providing finncil services re required by Monetry Authority of Singpore ( MAS ) nd/or Singpore Stock
COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT
COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE Skndz, Stockholm ABSTRACT Three methods for fitting multiplictive models to observed, cross-clssified
Introducing Kashef for Application Monitoring
WextWise 2010 Introducing Kshef for Appliction The Cse for Rel-time monitoring of dtcenter helth is criticl IT process serving vriety of needs. Avilbility requirements of 6 nd 7 nines of tody SOA oriented
Vendor Rating for Service Desk Selection
Vendor Presented By DATE Using the scores of 0, 1, 2, or 3, plese rte the vendor's presenttion on how well they demonstrted the functionl requirements in the res below. Also consider how efficient nd functionl
AREA OF A SURFACE OF REVOLUTION
AREA OF A SURFACE OF REVOLUTION h cut r πr h A surfce of revolution is formed when curve is rotted bout line. Such surfce is the lterl boundr of solid of revolution of the tpe discussed in Sections 7.
Green Vendor Selection with Risk Analysis
Interntion Journ of Opertion Reerch Interntion Journ of Opertion Reerch Vo. 9, No. 2, 76 86 (2012) Green Vendor Seection with Rik Anyi Hio-Fn Wng nd Wei-Ling Ko Deprtment of Indutri Engineering nd Engineering
Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding
1 Exmple A rectngulr box without lid is to be mde from squre crdbord of sides 18 cm by cutting equl squres from ech corner nd then folding up the sides. 1 Exmple A rectngulr box without lid is to be mde
PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1
PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.
Section 5-4 Trigonometric Functions
5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form
SUBSTITUTION I.. f(ax + b)
Integrtion SUBSTITUTION I.. f(x + b) Grhm S McDonld nd Silvi C Dll A Tutoril Module for prctising the integrtion of expressions of the form f(x + b) Tble of contents Begin Tutoril c 004 [email protected]
UNITED STATES DEPARTMENT OF AGRICULTURE Washington, D.C. 20250. ACTION BY: All Divisions and Offices. FGIS Directive 2510.
UNITED STATES DEPARTMENT OF AGRICULTURE Wshington, D.C. 20250 ACTION BY: All Divisions nd Offices FGIS Directive 2510.1 12-11-73 FEDERAL TORT CLAIMS I PURPOSE This Instruction: A Sets forth the bsic provisions
CHARACTERISTICS OF WAITING LINE MODELS THE INDICATORS OF THE CUSTOMER FLOW MANAGEMENT SYSTEMS EFFICIENCY
Annale Univeritati Apuleni Serie Oeconomica, 2(2), 200 CHARACTERISTICS OF WAITING LINE MODELS THE INDICATORS OF THE CUSTOMER FLOW MANAGEMENT SYSTEMS EFFICIENCY Sidonia Otilia Cernea Mihaela Jaradat 2 Mohammad
Techniques for Requirements Gathering and Definition. Kristian Persson Principal Product Specialist
Techniques for Requirements Gthering nd Definition Kristin Persson Principl Product Specilist Requirements Lifecycle Mngement Elicit nd define business/user requirements Vlidte requirements Anlyze requirements
4/3-, 4/2- and 3/2- directional valves with switching time adjustment, Model 5-.WE 10 (5-chamber version)
RA 23 351/9.99 RA 23 351/9.99 Replces: 6.98, 8.9 4/3-, 4/2- nd 3/2- directionl vlves with switching time djustment, Model 5-.WE 1 (5-chmer version) Nominl size 1 Series 3X Mximum operting pressure 4569
Network Configuration Independence Mechanism
3GPP TSG SA WG3 Security S3#19 S3-010323 3-6 July, 2001 Newbury, UK Source: Title: Document for: AT&T Wireless Network Configurtion Independence Mechnism Approvl 1 Introduction During the lst S3 meeting
Effect of viscosity on C sugar in Beet sugar factories
ANNUAL TRANSACTIONS OF THE NORDIC RHEOLOGY SOCIETY, VOL. 16, 2008 Effect of on C sugr in Beet sugr fctories Mohmmd Hojjtoleslmy 1, Rez Shokrni 2 nd Ahmd Krsi 3 1 Deprtment of food technology, College of
A Resolution Approach to a Hierarchical Multiobjective Routing Model for MPLS Networks
A Reolution Approach to a Hierarchical Multiobjective Routing Model for MPLS Networ Joé Craveirinha a,c, Rita Girão-Silva a,c, João Clímaco b,c, Lúcia Martin a,c a b c DEEC-FCTUC FEUC INESC-Coimbra International
Factoring Polynomials
Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles
International Journal of Heat and Mass Transfer
International Journal of Heat and Ma Tranfer 5 (9) 14 144 Content lit available at ScienceDirect International Journal of Heat and Ma Tranfer journal homepage: www.elevier.com/locate/ijhmt Technical Note
ANALYTICAL FORMULAS FOR OPTIONS EMBEDDED IN LIFE INSURANCE POLICIES
ANALYTICAL FORMULAS FOR OPTIONS EMBEDDED IN LIFE INSURANCE POLICIES Vnnucci Emnuele Dip.to di Sttitic e Mtemtic Applict ll Economi, Univerità di Pi (Preenting nd correponding uthor) Vi C. Ridolfi, - 564
Test Management using Telelogic DOORS. Francisco López Telelogic DOORS Specialist
Test Mngement using Telelogic DOORS Frncisco López Telelogic DOORS Specilist Introduction Telelogic solution for Requirements Mngement DOORS Requirements mngement nd trcebility pltform for complex systems
EQUATIONS OF LINES AND PLANES
EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint
Simulation of operation modes of isochronous cyclotron by a new interative method
NUKLEONIKA 27;52(1):29 34 ORIGINAL PAPER Simultion of opertion modes of isochronous cyclotron y new intertive method Ryszrd Trszkiewicz, Mrek Tlch, Jcek Sulikowski, Henryk Doruch, Tdeusz Norys, Artur Srok,
Design Example 1 Special Moment Frame
Design Exmple 1 pecil Moment Frme OVERVIEW tructurl steel specil moment frmes (MF) re typiclly comprised of wide-flnge bems, columns, nd bem-column connections. Connections re proportioned nd detiled to
Review Problems for the Final of Math 121, Fall 2014
Review Problems for the Finl of Mth, Fll The following is collection of vrious types of smple problems covering sections.,.5, nd.7 6.6 of the text which constitute only prt of the common Mth Finl. Since
SPECIAL PRODUCTS AND FACTORIZATION
MODULE - Specil Products nd Fctoriztion 4 SPECIAL PRODUCTS AND FACTORIZATION In n erlier lesson you hve lernt multipliction of lgebric epressions, prticulrly polynomils. In the study of lgebr, we come
Rotating DC Motors Part II
Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors
Optical Illusion. Sara Bolouki, Roger Grosse, Honglak Lee, Andrew Ng
Optical Illuion Sara Bolouki, Roger Groe, Honglak Lee, Andrew Ng. Introduction The goal of thi proect i to explain ome of the illuory phenomena uing pare coding and whitening model. Intead of the pare
SyGEMe: Integrated Municipal Facilities Management of Water Ressources Swiss Geoscience Meeting, Neuchâtel, 21 novembre 2009 k
SyGEMe: Integrted Municipl Fcilities Mngement of Wter Ressources Tool presenttion, choice of technology, mn-mchine mchine interfce, business opportunities nd prospects 1. Introduction 2. Mn-mchine interfce
Exponential and Logarithmic Functions
Nme Chpter Eponentil nd Logrithmic Functions Section. Eponentil Functions nd Their Grphs Objective: In this lesson ou lerned how to recognize, evlute, nd grph eponentil functions. Importnt Vocbulr Define
Helicopter Theme and Variations
Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the
AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS
AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS Spiros Vsilkos (), Chrysostomos D. Stylios (),(b), John Groflkis (c) () Dept. of Telemtics Center, Computer Technology
LECTURE #05. Learning Objectives. How does atomic packing factor change with different atom types? How do you calculate the density of a material?
LECTURE #05 Chpter : Pcking Densities nd Coordintion Lerning Objectives es How does tomic pcking fctor chnge with different tom types? How do you clculte the density of mteril? 2 Relevnt Reding for this
persons withdrawing from addiction is given by summarizing over individuals with different ages and numbers of years of addiction remaining:
COST- BENEFIT ANALYSIS OF NARCOTIC ADDICTION TREATMENT PROGRAMS with Specil Reference to Age Irving Leveson,l New York City Plnning Commission Introduction Efforts to del with consequences of poverty,
APPLICATION OF TAGUCHI EXPERIMENTAL DESIGN FOR PROCESS OPTIMIZATION OF TABLET COMPRESSION MACHINES AT HLL LIFECARE LIMITED, INDIA
Interntionl Journl of themticl Sciences Vol. 10, No. 3-4, July-December 2011, pp. 171-182 Serils Publictions APPLICATION OF TAGUCHI EXPERIENTAL DESIGN FOR PROCESS OPTIIZATION OF TABLET COPRESSION ACHINES
Understanding Life Cycle Costs How a Northern Pump Saves You Money
Understnding Life Cycle Costs How Nrn Pump Sves You Money Reference: Hydrulic Institute (www.s.g) Introduction Wht Life Cycle Cost (LCC) Clculting Totl LCC LCC Components Wht Life Cycle Cost Life Cycle
