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Transparent magnesium aluminate spinel: Effect of critical temperature in two-stage spark plasma sintering

Talimian, Ali; Pouchlý, Václav; El-Maghraby, H.F.; Maca, Karel; Galusek, Dušan

Abstract

The discolouration of magnesium aluminate spinet caused by carbon contamination is a main drawback of fabricating transparent bodies by spark plasma sintering (SPS). In this study, a two-stage heating rate profile was used to produce transparent MgAl2O4 without using sintering aids by SPS at 1250 degrees C. The effect of critical temperature (Tc), at which the heating rate is decreased, on transparency and carbon contamination was investigated: higher critical temperature resulted in higher contamination. Non-uniform densification indicated that fast heating results in a hot-zone formation in the centre of sintered pellets; the higher temperature of centre favoured reaction of graphite die with spinel and formation of disordered carbon structures in residual pores.

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Con en s lis s a ailable a ScienceDi ec Jou nal o he Eu opean Ce amic Socie y jou nal homepage: www.else ie .com/loca e/jeu ce amsoc O iginal A icle T anspa en magnesium alumina e spinel: Effec o c i ical empe a u e in wo-s age spa k plasma sin e ing A. Talimian a, *, V. Pouchly b,c , H.F. El-Magh aby a,d,e , K. Maca b,c , D. Galusek a,d a Cen e o Func ional and Su ace Func ionalised Glass, Alexande Dubcek Uni e si y o T encin, T encin, Slo akia b CEITEC BUT, B no Uni e si y o Technology, Pu kyno a 123, B no, Czech Republic c Facul y o Mechanical Enginee ing, B no Uni e si y o Technology, Technicka 2, B no, Czech Republic d Join Glass Cen e o he IIC SAS, TnUAD and FChPT STU, T encin, Slo akia e Re ac o ies,Ce amics, and Building Ma e ials Depa men , Na ional Resea ch Cen e, 33 El-Bohous S ., 12622, Cai o, Egyp ARTICLE INFO Keywo ds: Magnesium alumina e spinel Spa k plasma sin e ing Ca bon con amina ion Op ical p ope ies ABSTRACT The discolou a ion o magnesium alumina e spinel caused by ca bon con amina ion is a main d awback o ab ica ing anspa en bodies by spa k plasma sin e ing (SPS). In his s udy, a wo-s age hea ing a e p ofile was used o p oduce anspa en MgAl 2 O 4 wi hou using sin e ing aids by SPS a 1250°C. The effec o c i ical empe a u e (Tc), a which he hea ing a e is dec eased, on anspa ency and ca bon con amina ion was in- es iga ed: highe c i ical empe a u e esul ed in highe con amina ion. Non-uni o m densifica ion indica ed ha as hea ing esul s in a ho -zone o ma ion in he cen e o sin e ed pelle s; he highe empe a u e o cen e a ou ed eac ion o g aphi e die wi h spinel and o ma ion o diso de ed ca bon s uc u es in esidual po es. 1. In oduc ion Magnesium alumina e spinel is a p omising op ical ce amics due o i s high anspa ency o e a wide window o elec omagne ic adia ion, om ul a iole o mid-in a ed (0.2–5.5 μm). I s c ys al s uc u e is capable o hos ing a a ie y o op ically ac i e ions and, hence, he op ical p ope ies can be modified [1–4]. Ha ing an op ically iso opic s uc u e, highly anspa en bodies a e ob ained by p oducing highly dense g een bodies and emo ing he po es, ac ing as ligh sca e ing cen es, by a sui able sin e ing p ocess [5–9]. Fab ica ing a highly dense magnesium alumina e spinel is, howe e , a difficul ask. Due o slow diffusion o a omic species, pa icula ly oxygen, anspa en magnesium alumina e spinel is usually ab ica ed ei he in wo s eps by p essu e-less sin e ing ollowed by ho isos a ic p essing o a leng hy ho p essing p ocess (HP) [10–13]. Subjec ing magnesium alumina e spinel o high empe a u es o a long ime esul s in g ain g ow h, changes he mic os uc u e and de e io a es mechanical p ope ies [13–16]. Spa k plasma sin e ing (SPS) is a p ac ical me hod o ab ica ing highly dense fine-g ained ce amics. Howe e , he ca bon con amina- ion o ma e ials p epa ed by SPS is ine i able [17–23]. Addi ion o li hium fluo ide acili a es densifica ion o spinel ce amics and cleanses he ca bon con amina ion. Howe e , he in e ac ions be ween LiF and MgAl 2 O 4 yield de imen al phases, in oduce s uc u al de ec s (i.e. F cen es) and de e io a e op ical p ope ies o he final body [21,24–27]. Ca bon con amina ion can be also minimised by op imising he spa k plasma sin e ing pa ame e s. Se e al a emp s ha e been made o s udy he ca bon con amina ion and o ab ica e anspa en spinel wi hou sin e ing aids [20,28,29]. Mo i a e al. ha e epo ed ha he le el o ca bon con amina ion is sensi i e o he hea ing a e du ing SPS: slow hea ing imp o es he anspa ency o MgAl 2 O 4 [30]. While slow hea ing is beneficial o anspa ency, i ex ends he du a ion o he p ocess and he eby elimina es one o he main ad an ages o SPS, i.e as sin e ing. In he p esen s udy, he ab ica ion ime o anspa en magnesium alumina e spinel is educed by pe o ming a wo-s age spa k plasma sin e ing schedule comp ising o ini ial as hea ing ollowed by slow hea ing. The effec o c i ical empe a u e, a which he hea ing a e is changed, on anspa ency and ca bon con amina ion was in es iga ed using a Raman spec oscopy and desc ibed ollowing he modynamic app oach. 2. Expe imen al p ocedu es Comme cial magnesium alumina e spinel powde , S30CR (Baikowski, F ance), was used as he s a ing ma e ial. The powde was dispe sed in isop opanol using an ul asonic mixe (Sonopuls HD 3400, BANDELIN, Ge many). A e wa ds, he mix u e was ans e ed o a h ps://doi.o g/10.1016/j.jeu ce amsoc.2020.02.012 Recei ed 15 Oc obe 2019; Recei ed in e ised o m 4 Feb ua y 2020; Accep ed 5 Feb ua y 2020 ⁎ Co esponding au ho . E-mail add ess: [email p o ec ed] (A. Talimian). Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 A ailable online 06 Feb ua y 2020 0955-2219/ © 2020 The Au ho s. Published by Else ie L d. This is an open access a icle unde he CC BY-NC-ND license (h p://c ea i ecommons.o g/licenses/BY-NC-ND/4.0/). T o a y e apo a o and he liquid emo ed; Ready- o-P ess (RTP) powde was p epa ed by passing he d ied powde h ough a sie e wi h 0.5 mm mesh wid h. The samples we e ab ica ed by spa k plasma sin e ing (SPS) (DR. SINTER SPS-625, FUJI, Japan). The g anula ed powde was filled in a g aphi e die wi h an inne diame e o 12 mm. G aphi e pape was used o sepa a e he powde om he die and he punches. Then, he die was w apped in ca bon el insula o . Sin e ing was pe o med unde a- cuum (5–9 Pa). The empe a u e was measu ed using an op ical py- ome e ocused on he hole d illed in o a die wall. A cons an uniaxial p essu e o 75 MPa was applied abo e 800 °C. P elimina y in o ma ion on he densifica ion beha iou o mixed spinel powde was ob ained by pe o ming a single-s age SPS. The ex- pe imen s we e pe o med by inc easing he empe a u e o samples o 600 °C in 3 min; hen, he samples we e hea ed a 100 °C min −1 o 1300 °C. A e wa ds, he wo-s age SPS was ca ied ou by inc easing he empe a u e o 600 °C in 3 min and, a e wa ds, he samples we e he- a ed o a empe a u e be ween 1100 °C–1200 °C wi h he cons an hea ing a e o 100 °C.min −1 . Then, he hea ing a e was dec eased o 2.5 °C.min −1 and hea ing con inued up o 1250 °C. The a ia ions o empe a u e and applied p essu e agains ime du ing sin e ing p ofiles a e shown in Fig. 1. Sin e ed pelle s we e subsequen ly hea ea ed in a muffle u nace a 800 °C (hea ing a e: 2.5 °C min −1 ) o 60 min in ai in o de o emo e esidual ca bon om he su aces. The samples we e ca e ully mi o polished on bo h sides using diamond ab asi e pape s down o 0.5 μm o u he op ical cha ac e isa ion. The final hickness o he samples a e polishing was ∼1 mm. The densi y o sin e ed bodies was measu ed using A chimedes’ me hod in deionised wa e . The In-line ansmission was measu ed in he wa eleng h ange be ween 200−2000 nm using a UV– is-NIR spec opho ome e (Ca y 5000, Agilen , USA) wi h g a ing and sli change a 800 nm. Raman spec oscopy was conduc ed on he su ace and he polished c oss-sec ion o sin e ed samples by using a Raman mic oscope spec- ome e (inVia Qon o , Renishaw, UK) using 532 nm exci a ion wa- eleng h a oom empe a u e. The mic os uc u e was examined using scanning elec on mic o- scopy (JSM-7600 F, JEOL, Japan). The c oss-sec ion o samples was mi o -polished using 1 μm diamond pas e. The ac u e su aces and polished c oss-sec ions we e he mally e ched a 1150 °C o 30 min. The e ched samples we e fixed a aluminium sample holde s using he conduc i e adhesi e ape and, a e wa ds, coa ed wi h ca bon; he g ain size was de e mined om he SEM images using linea in e sec ion me hod. 3. Resul s Fig. 2 shows he punch displacemen (no malised by weigh o samples) and he displacemen a e as a unc ion o empe a u e du ing single-s age SPS o magnesium alumina e spinel a he cons an hea ing a e o 100 °C min −1 . The p essu e applied by he punches plo ed agains sin e ing empe a u e is also shown. The displacemen o pun- ches consis s o h ee main egions: he fi s s age be ween 800−950 °C whe e he sh inkage is he as es , and he main peak in he sh inkage a e is obse ed. The sh inkage is a ibu ed o applica ion o p essu e a 800 °C esul ing in pa icle ea angemen . This is ollowed by a con inuous sh inkage, wi h a cons an a e be ween 950−1100 °C. Fi- nally, he densifica ion slows down, and he sh inkage a e dec eases significan ly. The sh inkage e en ually s ops abo e 1250 °C whe e he displacemen cu e eaches a pla eau, and a densi y o > 99.0 % is achie ed. The e o e, he maximum sin e ing empe a u e was limi ed o 1250 °C o elimina e phenomena such as g ain g ow h and po e coalescence. A se o a ious sin e ing egimes was applied: he hea ing a e was dec eased o 2.5 °C.min −1 a e a specific empe a u e in he in e al be ween 1100−1200 °C (namely 1100, 1150, 1175 and 1200 °C) was achie ed. In he la e ex , his empe a u e is deno ed as c i ical empe a u e, Tc.Fig. 3 shows he appea ance, and he alues o in-line ansmissions measu ed a 550 nm o samples p oduced by SPS, using diffe en Tc be ween 1100 °C–1200 °C. A sample p oduced by slow hea ing om 1100 °C o 1200 °C is also shown. Samples p oduced wi h he Tc = 1100 and 1150 °C a e almos anspa en and exhibi a maximum ansmission o 65 and 67 %. The sample ab ica ed using Tc = 1175 °C has a la ge da k spo in he cen e, and he ansmission dec eases o 51 %. The sample sin e ed wi h a Tc o 1200 °C is almos en i ely black wi h a limi ed ansmission o 10 %. Howe e , he pe - iphe y o he pelle is anspa en . The sample sin e ed by slow hea ing om 1100−1200 °C, is anspa en in he cen e, bu i is opaque and whi ish a he edges, indica ing he p esence o la ge po es and in- comple e sin e ing. Fig. 4 shows he in-line ansmission, ILT, o he samples as a unc ion o he inciden ligh wa eleng h measu ed in he ange be- ween 200−2000 nm. The measu ed ILT is ecalcula ed o he same hickness o d 2 = 1.0 mm, using Eq. 1[16]: =− − ILT d R ILT d R () (1 )( () 1) s s d d 221 2 1 (1) Fig. 1. Tempe a u e and p essu e agains ime o wo-s age spa k plasma sin e ing p ofiles. A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2418 whe e R S is he o al su ace eflec ance (≈0.14), and ILT(d 1 ) is he alue ob ained o he sample wi h he hickness d 1 . A discon inui y a he ILT cu e ha is obse ed a 800 nm, and eco ded o all samples, is ela ed o ins umen al limi a ions and he de ec o and g a ing change-o e . The e o e, he measu ed spec um is di ided in o wo egions: 200−795 nm, and 805–2000 nm. Samples p oduced using Tc o 1100 and 1150 °C exhibi simila ansmission in bo h IR and UV anges wi h a sha p dec ease in ansmission a λ= 300 nm. Con- e sely, he ansmission o samples p oduced wi h a Tc = 1175 °C, dec eases wi h a shallow slope as he wa eleng h dec eases. The blackening o anspa en bodies ab ica ed by spa k plasma sin e ing is a ibu ed o ca bon con amina ion [29–31]. The dis ibu ion o ca bon in samples was examined by Raman spec oscopy. Fig. 5 shows mic o-Raman spec a collec ed o e he su ace o samples ab ica ed using a sin e ing egime wi h he c i ical empe a u e o 1150 °C ( he highes anspa ency) and 1200 °C ( he lowes anspa ency); Raman spec a o he used ca bon pape and RTP spinel powde a e also shown. The Raman spec um o he as- ecei ed powde con ains fi e majo peaks a ibu ed o ib a ion modes o magnesium alumina e spinel and h ee o he peaks co esponding o sulpha e, chlo ide and ca bona e species. The s ong peaks loca ed a ound 410, 672 and 770 cm −1 a e associa ed wi h E g ,T 2g and A 1g ib a ions o MgAl 2 O 4 , espec i ely. The weak band cen ed a ound 311 cm −1 is a ibu ed o T 2g ib a ion o MgAl 2 O 4 . The peak loca ed a 727 cm -1 is associa ed wi h he b ea hing mode o aluminium ca ions loca ed in e ahed al si es implying ha in e se spinel s uc u e exis s in he powde [5,32–35]. The peak a ound 980 cm -1 is a ibu ed o he ib a ion o SO x species. The e a e also wo mo e peaks assigned o he ib a ion modes o ace Cl 2 and CO 32- a 560 and 1064 cm -1 , espec i ely [36]. The chlo ide, sulpha e and ca bona e species o igina e om he p ocess o powde syn hesis [37]. The peaks o impu i ies a 560, 980 and 1064 cm −1 disappea ed en i ely in he samples subjec ed o spa k plasma sin e ing. Ins ead, he Raman spec um o he sample p oduced a he T c = 1200 °C is dis- inc i ely diffe en om he spec um o he sample ab ica ed a he T c = 1150 °C: i exhibi s a s ong peak associa ed wi h he D-band mode o diso de ed g aphi e (1350 cm -1 ). In con as , he Raman spec um o ca bon pape exhibi s a s ong peak a a ound 1580 cm -1 ha is asso- cia ed wi h he G-band mode o g aphi e and a highly o de ed s uc u e. The p esence o ca bon in he sin e ed bodies wi h a diffe en s uc u e om he ca bon pape ules ou he possibili y ha he obse ed blackening o samples is caused by ca bon inclusions in oduced om he deb is o he die o ca bon pape . Blackening o samples can be hus a ibu ed o deposi ion o ca bon o med h ough he eac ion o ca bon om g aphi e pape /die wi h MgAl 2 O 4 a high empe a u es. Fig. 6 shows he Raman spec a collec ed nea he cen e o he pelle s and close o he edge o he pelle s’c oss-sec ions. The spec a collec ed a he cen e and he edge o he samples p epa ed a he T c = 1100 °C a e basically he same, implying ha ca bon con amina ion is Fig. 2. (a) Punch displacemen (no malised by weigh ) and p essu e agains empe a u e as a unc ion o empe a u e; (b) fi s de i a i e o punch displacemen . A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2419 e y limi ed. In con as , he peaks associa ed wi h ca bon D-band (1350 cm −1 ) and G-band (1600 cm −1 ) s a o be isible in he spec- um collec ed in he cen e o he samples ab ica ed a he T c = 1150 °C. The in ensi ies o peaks associa ed wi h ca bon inc eased sig- nifican ly in he sample sin e ed using he Tc = 1175 °C. Ca bon- e- la ed peaks ha e become he main peaks o he samples p oduced a he T c = 1200 °C. The Raman spec a collec ed nea he edge a e es- sen ially simila o all samples, and no peaks associa ed wi h ca bon appea in he spec a. Howe e , low-in ensi y peaks associa ed wi h he ca bon D-band and G-band a e obse ed in he spec um o he sample p epa ed wi h a c i ical empe a u e o 1200 °C. 4. Discussion 4.1. Densifica ion The densifica ion cu e shown in Fig. 2 consis s o h ee main s eps: he fi s s ep co esponds o he powde compac ion, c ushing o g anules and/o pa icle ea angemen , which appea s as a as dis- placemen o he punch a e he p essu e is applied a T=800 °C. The displacemen a e is almos cons an in he nex empe a u e in e al be ween 900−1100 °C. The s a ing empe a u e o his s ep is simila o he densifica ion h eshold o con en ional sin e ing o he used spinel powde (S30CR, Baikowski) [38,39]. The densifica ion p oduces a solid body con aining isola ed closed po es. The de o ma ion o he solid body subjec ed o he p essu e is limi ed and, hence, he punch displacemen du ing he final s age o sin e ing (> 1100 °C) is caused only by sin e ing. A he same ime, he gas p essu e inc eases inside he closed po es, which sh ink as he esul o applied empe a u e and p essu e. The inc ease o in e nal p essu e o gasses also esul s in he dec ease o sh inkage a e. In addi ion o con en ional sin e ing mechanism, i.e. g ain bounda y diffusion o la ice diffusion, densifica ion du ing spa k plasma sin e ing is a esul o ce amics’c eep unde la ge comp essi e s esses [40]. Inc easing concen a ion o la ice de ec s such as a- cancies and disloca ions in oduces ligh sca e ing cen es and de e- io a es he anspa ency o ce amics [28]. Howe e , he slip sys ems o magnesium alumina e spinel a e no ac i a ed below 1300 °C [41,42]. G ange e al. s udied he sin e ing beha iou o magnesium alumina e spinel du ing SPS and concluded ha g ain bounda ies sliding, ac- commoda ed by he in-se ies eac ion o in e aces and la ice diffusion o oxygen, go e ns he densifica ion p ocess [41]. The e o e, he anspa ency o samples is unlikely o be affec ed by he changes in disloca ion densi y a he empe a u es applied in his s udy. Fig. 7 isualises a sample ab ica ed by as hea ing (100 °C min −1 ) o T C = 1100 °C ollowed by slow hea ing (2.5 °C min −1 ) o 1200 °C. While he cen al egion o he sample is anspa en (a anspa en egion ca. 6 mm in diame e is p esen ), he edge o he sample is opaque. This indica es ha du ing he sin e ing he samples ha e been Fig. 3. Op ical pho og aphs o samples p o- duced wi h he use o a slow hea ing egime (2.5 °C/min) be ween Tc and 1250 °C; he samples ha e a hickness o ca 1 mm and a e placed di ec ly a he backg ound. The alues o ILT we e measu ed a a wa eleng h o 550 nm. (a ows poin ou he spo o ansmission measu emen s (Fig. 4) amd collec ing Raman spec a ((Fig. 5)). Fig. 4. In-line ansmi ance agains he wa eleng h o samples ab ica ed by wo-s age spa k plasma sin e ing using diffe en c i ical empe a u es Tc: 1100, 1150, 1175 and 1200 °C. The ansmission was e alua ed o a hickness o 1 mm using Eq. 2. A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2420 densified in-homogenously: he cen e is dense han he im and ee om la ge po es. Fig. 8 shows he g ain size dis ibu ion in he cen e and a he pe iphe y o samples sin e ed a a ious Tc. While he g ain size o samples is independen o Tc, he cen e o all samples is cha ac e ised by la ge g ains han he pe iphe ies. Simila ly, such non-uni o m dis- ibu ion o g ain size in ce amic bodies, e.g. Al 2 O 3 and Y 2 O 3 , has been epo ed in o he wo ks [43,44]. Th ee ac o s can be held esponsible o la ge g ains in he cen e: lowe ca bon con amina ion, a highe concen a ion o de ec s, and empe a u e g adien . As shown in Fig. 3, sin e ed samples exhibi la ge amoun s o ca bon in he cen al a ea. Thus ca bon con amina ion canno explain he non-uni o m dis ibu- ion o g ain size. The accumula ion o de ec s, i.e. acancies, migh be esponsible o he g ain g ow h; howe e , i e en ually esul s in he inc ease o samples’po osi y, pa icula ly in he cen e. In con as , samples show a diffe en dis ibu ion o po es. Fig. 9 shows he ac u e su ace o pelle s sin e ed a Tc = 1100 °C. All obse ed po es a e isola ed and loca ed a he g ain bounda ies. Mo eo e , he edge o he Fig. 5. Raman spec a collec ed om he as- ecei ed spinel powde ( ed line), and he samples p oduced by spa k plasma sin e ing a 1250 °C using c i ical empe a u es o 1150 °C and 1200 °C. The spec a collec ed om g aphi e pape used in SPS is shown o compa ison. (Fo in e p e a ion o he e e ences o colou in his figu e legend, he eade is e e ed o he web e sion o his a icle). Fig. 6. Raman spec a collec ed om polished c oss-sec ion o samples a he edges and in he cen e o samples SPSed a 1250 °C using he c i ical empe a u e o : (a) 1100 °C, (b) 1150 °C, (c) 1175 °C and (d) 1200 °C. A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2421 pelle con ains mo e po es han he cen e (Fig. 9a sFig. 9b) due o inhomogeneous densifica ion (compa e o Fig. 7) and exp essed in in- c eased opaci y o he sample edge. The e o e, he inc easing po osi y in he pe iphe y canno be explained by he inc ease o de ec con- cen a ion only. The non-uni o m densifica ion o elec ically non-conduc i e ma e ials is mainly a ibu ed o he empe a u e g adien du ing SPS, i.e. o he hi d p oposed mechanism [45,46]. Ce amic compac s a e hea ed up by passing an elec ic cu en h ough he g aphi e die. Consequen ly, one expec s ha he edge o non-conduc i e samples is ho e han he cen e. As onishingly, he isual examina ion o samples p epa ed in his s udy sugges s he opposi e beha iou (Fig. 7). Cola- suonno epo ed on he inhomogeneous empe a u e dis ibu ion and he o ma ion o local ho -zones in ce amics due o he elec ic cu en flow pa hs shi du ing spa k plasma sin e ing [47]. Pa o fine g an- ules o he RTP powde escapes om he gap be ween punches and die wall du ing he ini ial powde compac ion and p oduces a ing su - ounding he punches. This esul s in a change o he cu en pa hways and o ma ion o a ho spo in he cen e o he pelle . Unde s anding he eason behind such peculia densifica ion inhomogenei y in samples and he empe a u e dis ibu ion, howe e , equi es mo e s udies. None heless, he esul s ob ained in his s udy indica e he pelle s’ cen e migh ha e expe ienced a significan ly highe empe a u e du ing sin e ing, esul ing in anspa en cen es o sin e ed pelle s; he effec s and esul s o ho -zone o ma ion du ing SPS will be discussed u he la e on. Al hough highly dense bodies we e p oduced by spa k plasma sin- e ing, small po es emain a he g ain bounda ies. Po es’diame e is smalle han 100 nm; al hough such po es ha e limi ed sca e ing effec a highe wa eleng hs (> 1000 nm), hei effec becomes p ominen in he ul a iole egion o he spec um (< 400 nm) whe e he ligh wa eleng h is compa able wi h he effec i e diame e o he esidual po e. 4.2. Ca bon con amina ion Ca bon con amina ion becomes significan and is esponsible o he ligh ansmission dec ease in samples ab ica ed using Tc > 1150 °C. Al hough g aphi e pa icles can be in oduced di ec ly o he ce amic bodies p oduced by SPS, [23] Raman analyses e ealed highly dis- o de ed o glassy ca bon in he samples, which is en i ely diffe en om possible ca bon con amina ion sou ce (g aphi e pape ). This ules ou di ec con amina ion by deb is om g aphi e pape . Mo eo e , all samples we e subjec ed o he same cooling p ocess and, hus, he ca bon con amina ion is unlikely o occu du ing cooling. Kim e al. epo ed ha annealing spinel powde p io o spa k plasma sin e ing emo es ola ile species and esul s in highe ans- pa ency, and concluded ha ca bon-con aining species p esen a p io i in powde cause ca bon con amina ion du ing SPS [48]. In o he wo ks, he g aphi e die/pape is shown o be esponsible o ca bon con- amina ion [30,31]. In ou case, he p esence o some ca bona e species was confi med by Raman analysis (see Fig. 5); i is, he e o e, impo an o e i y he sou ce o ca bon con amina ion. The o ma ion o solid ca bon in po es om ola ile species can be exp essed by Boudoua d’s eac ion: →+CO g CO g C s2() () () 2 (2) Fig. 7. Op ical pho og aphs o a spinel disk p oduced wo-s age SPS: ini ial as hea ing (100 °C min −1 ) oTc= 1100 °C, ollowed by slow hea ing (2.5 °C min −1 ) o 1200 °C. Fig. 8. G ain size dis ibu ion o samples as a unc ion o Tc in he cen e and a he edge o sin e ed pelle s; median alues, 25 h and 75 h pe cen iles, as well as maximum and minimum alues a e shown. Fig. 9. Scanning elec on mic oscopy images o he ac u e su ace o sam- ples SPSed a 1250 °C wi h Tc = 1100 °C; he images we e aken om (a) he cen e o sample and (b) close o he edge o he sample. The samples we e subjec ed o a hea ea men a 1150 °C o 30 min o emo e he esidual ca bon om he po es. A ows indica e apped po es. A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2422 The Gibbs ee ene gy a ia ions o Boudoua d’s eac ion agains empe a u e change was calcula ed using Fac Sage®so wa e by as- suming mos s able ca bon phases a e p oduced and conside ing he o al p essu e inside closed po es a ying be ween 10 Pa ( acuum ap- plied in he SPS chambe ) and 75 MPa ( he nominal applied mechanical p essu e du ing SPS). Immedia ely a e he closu e o po es, he p es- su e o gasses apped in hem is assumed o be equal o he acuum p essu e in he SPS chambe . As he po es sh ink by sin e ing, he p essu e inc eases, un il i eaches he maximum alue o 75 MPa, i.e. he hyd os a ic p essu e in he po es equilib a es wi h he applied ex- e nal mechanical p essu e. Fig. 10 shows he a ia ion o Gibbs ee ene gy o Eq. 2as a unc ion o empe a u e; he empe a u e windows be ween 1100 °C and 1250 °C is enla ged in Fig. 10b. Unde low p essu es Gibbs’ ee ene gy o Eq. 2is posi i e indica ing ca bon de- posi ion is no he modynamically a ou ed. The nega i e ee ene gy o eac ion below 1150 °C in Fig. 10b, implies ha he deposi ion o ca bon om ola ile species occu s only a low empe a u es unde high p essu es. In con as , samples p oduced using Tc o 1100 and 1150 °C, which a e exposed o he ca bon deposi ion condi ions o a longe ime, show highe anspa ency compa ed o hose p oduced using Tc= 1175 °C and 1200 °C. Thus, ca bona e species a e unlikely o be he cause o ca bon con amina ion. I is also in e es ing o in es iga e how ca bon con amina ion is dis ibu ed in he samples; Raman spec a we e collec ed in wo di- ec ions: along he adii o he pelle s, and ac oss he hickness in he cen e o he pelle s. The spec um collec ed in each poin was ea ed by emo ing he backg ound and fi ing ca bon’s D, G and D’peaks using a Gaussian unc ion ollowing leas -squa es cu e fi ing app oach [49]. The ampli ude o he peaks was used o e alua e he concen a- ion o espec i e species. Fig. 11 shows he dis ibu ion o ca bon and he a io o ca bon D-band o G-band in he samples p oduced using he c i ical empe a u e o 1175 °C. Ca bon con amina ion is dis ibu ed almos uni o mly ac oss he heigh o samples (Fig. 11a), wi h 3 imes highe concen a ion o diso de ed ca bon (D-Band) han highly o - de ed ca bon (G-band). On he con a y, ca bon con amina ion is concen a ed in he cen e o he sample ollowed by a g adual dec ease owa ds he edges (Fig. 11b). The diso de ed ca bon (D-Band) dis- ibu ion esembles ypical e o unc ion om he cen e o he edge (dashed line in he g aph). The con amina ion o samples due o ca bon diffusion om he ca bon pape should p oduce a concen a ion g adien dec easing om he edge owa ds he cen e o plo s; his is opposi e o he measu ed concen a ion p ofiles. The e o e, ca bon dis ibu ion seems o be a esul o he empe a u e g adien in he samples. Mo eo e , he uniaxial dis ibu ion o ca bon sugges s ha i is in oduced in o samples h ough a deposi ion p ocess om he a mo- sphe e wi h inc eased pa ial p essu e o ca bon in he u nace. Ac- co ding o Mo i a e al., ca bon con amina ion du ing SPS o MgAl 2 O 4 occu s as a esul o eac ions be ween g aphi e die/pape and mag- nesium alumina e spinel powde , especially when high hea ing a es a e applied [29–31]. Wang e al. epo ed on he ab ica ion o anspa en magnesium alumina e spinel ce amics using wo-s ep p essu e p ofile [28]. The sin e ing p og amme consis ed o an ini ial low-p essu e s ep ollowed by he applica ion o high p essu e in he final s ep; he esul s showed ha applying a lowe p essu e o a sho e ime esul s in lowe ca bon con amina ion du ing spa k plasma sin e ing. Magnesium alumina e migh eac wi h ca bon esul ing in he de- posi ion o glassy ca bon in samples; he e o e, i is wo h in es iga ing u he he impac o applied p essu e on ca bon con amina ion. The eac ion o magnesium alumina e spinel wi h he ca bon impu i y p esen in he po es, which is coming om g aphi e die/pape , can be simplified and w i en as [49]: +→++ M gAlO s Cs g Mgg AlOg CO g() 3 (, ) () () 3 ( ) 24 2 (3) Fig. 12 shows he a ia ion o Gibbs’ ee ene gy o Eq. 3as a unc ion o he empe a u e unde diffe en p essu es be ween he p essu e co esponding o he acuum (10 Pa) and p essu e ela ed o he p essu e applied by punches (75 MPa), which is conside ed o be equal o he equilib ium p essu e o gasses apped in closed po es. The Gibbs’ ee ene gy dec eases con inuously wi h he empe a u e; how- e e , in he whole ele an empe a u e in e al, he ee ene gy has always a posi i e alue. The ee ene gy o he eac ion is nega i e abo e 1300 °C and only unde he eac ion p essu e below 50 Pa. The o ma ion o gases and he magnesium alumina e spinel deg ada ion is he e o e ene ge ically a ou ed a empe a u es below 1300 °C unde acuum (10 Pa). The posi i e eac ion ee ene gy a he highe p essu es, i.e. abo e 50 Pa, implies ha solid phases, ca bon, MgAl 2 O 4 , and possibly o he oxides such as MgO and Al 2 O 3 , a e s able. Taking in o accoun he changes o he s abili y o phases upon he applica ion o p essu e, he ollowing mechanism can be p oposed o Fig. 10. Changes o he Gibbs ee en- e gy as a unc ion o empe a u e o he o ma ion o solid ca bon om he eac ion o oxides apped in he closed po es unde hyd os a ic p essu es be- ween 10 Pa o 75 MPa (equal o he applied p essu e du ing SPS p ocess). Gibbs ee ene gy s. empe a u e: (a) 1100−1400 °C-P=10 Pa- 75 MPa, (b) 1100−1250 °C-P = 50 MPa and 75 MPa. A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2423 he gene a ion o ca bon con amina ion in he anspa en spinel bodies p oduced du ing he wo-s age spa k plasma sin e ing. Du ing he ini ial s ages o sin e ing, he po es a e connec ed, and, he e o e, he gas p essu e is equal o he acuum applied du ing SPS. The as hea ing in he fi s s age o sin e ing p og amme (100 °C min −1 ) and he changes in elec ical pa hways esul in he o ma ion o ho zones close o he pelle ’s cen e. Consequen ly, he local em- pe a u e could exceed he c i ical empe a u e o magnesium alumina e deg ada ion esul ing in he o ma ion o ca bon-con aining gases. Fu he densifica ion p oduces closed po es, in which he hyd os a ic p essu e o en apped gasses inc eases, e en ually equilib a ing he mechanical p essu e applied he punches. The inc ease o p essu e and he o ma ion o ho zones p o ides he he modynamically a ou able condi ions o he deposi ion o ca bon and MgAl 2 O 4 . The local em- pe a u e and size o ho zones inc eases when a highe c i ical em- pe a u e is applied (i.e. 1100 s 1200 °C), which is eflec ed in he o ma ion o la ge black a eas o samples p oduced a Tc = 1200 °C. 5. Summa y and conclusions T anspa en magnesium alumina e spinel was ab ica ed using wo- s age spa k plasma sin e ing o a comme cial MgAl 2 O 4 powde : a high hea ing a e, 100 °C min −1 , was used up o a Tc, c i ical empe a u e, be ween 1100 and 1200 °C. Subsequen ly, he hea ing a e was slowed down o 2.5 °C min −1 , un il he maximum empe a u e o 1250 °C was eached. T anspa en bodies a e ob ained a a c i ical empe a u e lowe han 1150 °C. Discolou a ion and lack o anspa ency obse ed in he samples sin e ed a he applied Tc > 1150 °C was caused by ca bon con amina ion. The c i ical empe a u e has a decisi e ole in achie ing anspa - ency. Samples p oduced using a c i ical empe a u e lowe han 1150 °C exhibi a highe in-line ansmission compa ed o hose p epa ed using a highe c i ical empe a u e. The le el o ca bon con amina ion de- c eases wi h dec easing c i ical empe a u e. Visual inspec ion and analysis o Raman spec a confi med ha ca bon con amina ion is dis ibu ed inhomogeneously. The o ma ion o ho zones in he cen e o sin e ed compac s is esponsible o inhomogeneous densifica ion. The modynamic calcula ions indica e ha local inc ease o empe a u e can cause eac ions be ween spinel and g aphi e pape /die, p oducing ola ile gasses. Inc ease o p essu e in closed po es changes he he - modynamics condi ions a ou ing he o ma ion o diso de ed ca bon Fig. 11. Ca bon concen a ion p ofile o e polished c oss-sec ion o samples SPSed a 1250 °C using Tc = 1175 °C. The in ensi ies o ca bon D-band and G- bands, in ela i e uni s ( .u.), a e shown o ep esen he concen a ion o ca bon o e : (a) he sample hickness a he cen e and (b) along he adial axis o he disks. Fig. 12. Compa ison o he Gibbs ee ene gy change o he eac ion o MgAl 2 O 4 wi h g aphi e and o ma ion o gasses acco ding o Eq. 4 unde acuum (10 Pa) and a hyd os a ic p essu e applied du ing he SPS (75 MPa). The dashed line poin s ou ΔG=0. A. Talimian, e al. Jou nal o he Eu opean Ce amic Socie y 40 (2020) 2417–2425 2424 p ecipi a es, which ac as ligh sca e ing cen es. Decla a ion o Compe ing In e es The au ho s decla e ha hey ha e no known compe ing financial in e es s o pe sonal ela ionships ha could ha e appea ed o influ- ence he wo k epo ed in his pape . Acknowledgemen This pape is a pa o dissemina ion ac i i ies o he p ojec FunGlass. This p ojec has ecei ed unding om he Eu opean Union´s Ho izon 2020 esea ch and inno a ion p og amme unde g an ag ee- men No 739566. Financial suppo o his wo k by he g an s SAS- MOST JRP 2015/6, and VEGA 2/0026/17 is g a e ully acknowledged. We app ecia e he suppo p o ided by he Czech Minis y o Educa ion unde g an LTT18013 In e -T ans e . We app ecia e help ul discussions and use ul commen s o D K. G iebenow on Raman Analyses o samples. We also app ecia e he help o P o M. Liska and P o R. Klemen wi h he modynamic calcula ions and op ical measu emen s. Re e ences [1] K. Izumi, S. Miyazaki, S. Yoshida, T. 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