invertglasses - ustverre.fr = ca, sr, ba glass forming region (with levitation) ... , 93, 228-234...
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LouisHENNETCNRS-CEMHTI
(ConditionExtrêmes etMatériaux,HauteTempérature etirradiation)1davenuedelarecherche Scientifique
45071OrléansFrance
Invert glasses
Howtoquenchthesamplerapidely ?
Inmostofthecases,theyareobtainedusingfastquenching
Fewinvertglassescanbeobtainedwithaclassicalquench:C12A7:Ca12Al14O33
1/Rollerquenching
Quenchrate~105 K/s (PbO)80-(SiO2)20
L.G.Aldermanetal,Phys.Chem.Chem.Phys.15,8506(2013)
Coe College Physics Department,Warwick
Laser1
Laser2
Opticalpyrometers
Videocameras
Mirror
Mirror
Sphericalsample(1-4mm)
Levitator
Gas
AerodynamiclevitationandCO2 laserheating
Levitator
300K/s
500K/s
700K/s
Cooling rates(CaAl2O4)300-700K/sTheratedependsonthesamplesize
Ca12Al14O33 (C12A7)
CaAl2O4(CA)
CA2
C3A
x
T,K (CaO)x-(Al2O3)1-x
Example:CaO– Al2O3 phasediagram
Withconventionalmethods:Narrowvitreousdomainaroundtheeutectic.
UsinglevitationtechniquesExtensionofthevitreousdomainto:0.37<x<0.75(difficultbelow0.4)
Ca3Al2O6(C3A)
=invertglass
CaAl2O4(CA)
=invertglass
Ca2Al6O11 (C2A3)
• Silicateglasses• witharatioglassmodifier/former>1.
Whatistheroleplayedbythemodifier?– Binaryoxides:SiO2-MOwithM=Ca,Mg
• Aluminate glasses:Whatexplaintheglassformingabilityinthatcase?
RoleofAl– Aluminates:Al2O3-CaO
• FewwordsonthesystemSiO2-Al2O3-CaO
Outline
SiO2-CaOcompositions
D.C.KasemanetalJ.Phys.Chem.B,119,8440(2015)
Glassformingsystemupto63%ofCaO
42mol%≤CaO≤61mol%
29SiNMR-MASspectraProgressiveshiftofthecenterofgravity
(increasingchemicalshift)
Q0 Q1
Q3 Q4Q2
NBO
ProgressivereplacementQ2,Q3species Q0,Q1
Glassesmadeusingaerodynamiclevitation
Invertglasses
Progressiveincreaseofthedensity
ThisincreaseinpackingdensityininvertglassesisconsistentwiththeprogressivereplacementofthesilicatenetworkdominatedbyQ3 andQ2 specieswithtightlypackedcorner- andedge-sharingCaO6polyhedra intheglassstructure
Influenceonproperties
Samescenario:
At50%,theglassstructureisdominatedbychainsofQ2 tetrahedra interspersedwiththoseofCaO6octahedra.ByincreasingtheCaO contenttheQ2 tetrahedralchainsareprogressivelyreplacedbyQ1 dimers andQ0 monomers.Theglassstructurerepolymerizes viaformationofpercolatingdomainsofcornerandedge-sharingCaO6octahedra withrelativelystrongCa-Obondsthatincreasestherigidityofthestructure.
Progressiveincreaseoftg
MgO
NBO Tg
S.Senetal,J.Phys.Chem.B2009,113,15243−15248.
50mol%≤MgO ≤67mol%
SiO2
Glassesmadeusingaerodynamiclevitation
Glassformingsystemupto63%ofMgO
29SiNMR-MASspectra
SiO2-MgOcompositions
Q0
Q4
Aluminates:Al2O3-MO
Intermediate Modifiers
Al2O3 CaOSrOBaO
M=Ca,Sr,Ba
Glassformingregion(withlevitation)
Notraditionalglassformer
M.Licheronetal,J.Non-Cryst.Solids3572796–2801(2011)
Howisexplainedtheglassformingability?
NMRCA:CA0.50:AlO4(96.5%),AlO5(3.5%)– Q4C12A7:CA0.39:AlO4(100%)– Q3-Q4C3A:CA0.25:AlO4(100%)– Q2
Neuvilleetal.,Am.Min.95,1580–1589(2010)
Aluminates:Al2O3-CaO
Poeetal,Science,259,786(1993)
Glasses
CaAl2O4
Ca12Al14O33
Ca3Al2O6
27Al3QMASNMRspectra
Alontetrahedralsites.Al2O3 playsaroleofnetworkformer
T(r)=4prr0g(r)
CNarecalculatedusingaGaussianfittoT(r)
rAl-O CAl-O rCa-O CCa-O
X-rays 1.81 Å 4.5 2.32 Å 4.5-5.5Neutrons 1.82 Å 4.4 2.34 Å 3.9-5.4
CaAl2O4 glass: 1.76Å 4.0
Liquid Glass
Al-O
Ca-O O-O Al-AlCa-CaAl-Ca
J.W.E.Drewittetal,J.Phys.Cond.Mat.,23155101(2011)
Al-O
Ca-O
O-OAl-Al,Al-Ca,Ca-Ca
Structurefactor
Pairdistributionfunction
1.78Å2.30Å
4.50
3.90-5.5
1.75Å2.29Å
4.13
6.20
rAl-O
OAln
rCa-O
OCan
Exp. MD
J.W.E.Drewittetal,J.Phys.Cond.Mat.,23155101(2011)
Thespectrameasuredonglassesaresimilartothoseotthecorrespondingreferences
CA:AlinQ4C12A7:MixtureQ4,Q3C3A:AlinQ2
NBOwiththeCaOcontent
XANESattheAlKabsorptionedge
Q2 Q4
IncreaseofQ3andQ2speciesalsovisiblewithRamanspectroscopy
Shiftofthebandat780cm-1
Neuville etalAmericanMineralogist,95,1580(2010)
0
0.4
0.8
1.2
1.6
2
2.4
1560 1580 1600 1620 1640 1660 1680 1700
Nor
mal
ized
Int
ensi
ty
E (eV)
2050K1950K
300K
CaAl2O
4
Tl=1878K
1500K
a
b
c d800K
1750K
e
CA=CaAl2O4
Crystalandliquid=>[4]Alwith4BO
AlV
Neuville etalAmericanMineralogist,93,228-234(2008)
AlKedge
Increaseof[5]AlwithincreasingT(AsobservedbyNMR)
0
0.5
1
1.5
4050 4100 4150 4200
Nor
mal
ized
Int
ensi
ty
E (eV)
1950K Liquid
CaAl2O
4 T
l=1878K
Ca3Al
2O
6 T
l=1930K
300K Crystal
0.1
0.2
0.3
0.4
4038 4040 4042 4044
1950K Liquid
CaAl2O
4
300K Cristal
0.6
0.7
0.8
0.9
1
1.1
4036 4038 4040 4042
1950K Liquid
Ca3Al2O
6
300K Cristal
CA:Ca6-7foldcoordinationwithapre-edgeat4041.1eVandnochangewithtemperature
C3A:cubic,Ca6foldcoordinationwithoutpre-edgeatRTandwithasmallpre-edgeat1950K– PerfectCaO6intheglass.
C3A(Ca3Al2O6)
CA=(CaAl2O4)
XANESattheCalciumKabsorptionedge
åå ==ba
ababba
abbaba,,
)()()( QSwQSbbccQF
Isotope % bc (fm)natCa --- 4.70 40Ca 96.941 4.80 42Ca 0.657 3.36 43Ca 0.135 -1.56 44Ca 2.086 1.42 46Ca 0.004 3.6048Ca 0.187 0.39
(coherentscatteringlengths)
Totalinterferencefunction:
NDwithIsotopicsubstitution(NDIS)Principle:
Possibletomodifybychangingwiththeuseofisotopes
abw ba ,b
OAlCa ,,, =ba
Wemade3samples:• natCaAl2O4• 44CaAl2O4• Mixtureofthetwo(50/50)
Inthisstudy,weusednatCaand44Cab contrast=3.28fm
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)()()(
121212
)()()(
44244
2
22
22
44 QQQS
bcbcbcbcbcbc
QSQSQS
x
CaCaCa
CaCa
mixCamixCa
natCanatCamix
nat
dd
[ ] [ ]1)(1)()( -+-= QSbcQSbcQ CaOOOCaAlAlAlCad
)(QSCaCa
[ ] [ ] [ ]1)(21)(1)()( 2222 -+-+-= QSbbccQSbcQSbcQ AlOOAlOAlOOOOAlAlAlAlxd
44
4444 )()()(
bbQFbQFbQ
nat
natnatx
--
=D
[ ] [ ] [ ] [ ]1)(1)(21)(1)( 2222 -+-+-+-= QSQSbbccQSbcQSbc CaCaAlOOAlOAlOOOOAlAlAlAl h
[ ] [ ] [ ]1)(1)(1)( -+-+-= QSbcQSbcQS CaAlAlAlCaOOOCaCa ggh)()()( 44 QFQFQ natCa -=D ( )24422 bbc natCa -=h
( )442 bbc natCa -=g
Sαβ(Q) functionswithα, β ≠ Ca haveidenticalweightingsandcanthereforebeeliminatedbytakingthedifferencefunction
ItisalsopossibletoeliminatethepartialsfunctionsSCaO(Q) andSCaAl(Q) bytakingthedifferencefunction
Finally,byinvertingthematrixequation
itispossibletoextractthe3functions:
Gls:GlassyCaAl2O4Liq:LiquidCaAl2O4
Differencefunctions
J.W.E.Drewittetal Phys.Rev.Lett.,109235501(2012)
DGx :Al-O,O-O,Al-Al,Ca-CadGx :Al-O,O-O,Al-Al
DGCa :Ca-O,Ca-AlCa-Ca
dGCa :Ca-O,Ca-Al
Al-O
O-O
Ca-O
Ca-O
Ca-Al
Ca-Al
rAl-O 1.77Å 1.75Å
rO-O 1.88Å
OAln 4.2 4.0IVAl+VAl(20%) IVAl
fewVIAl*
Liquid Glass1st peak(Al-O)
2nd peak(O-O)
Al-O-Al 107.99° 109.81°
rCa-O 2.30Å 2.37ÅOCan 6.0 (MD:6.2) 6.5
1st peak(Ca-O)
Realspacedifferencefunctions
Differences: )(),( QGQG xx Dd
Lowcontributionofcation-cationpairs
Differences: )(),( QGQG CaCa dD
Al-OetO-O
Ca-O
ThemeanCa-Cadistancesforcorner-,edge-,andface-sharingpolyhedraare4.40,3.74,and3.41Å,respectively.ThesimulatedfunctionhasasinglepeakatrCaCa3:81andyieldsacomparablecoordinationnumberofCNCa=4.9
3.594.41Å CNCa=5.22
Formationintheglassofbranchedchainsinvolvingedge- andface-sharinglinkages.
Ca-Cacorrelations
Al2O3 doesnotformaglassbyitselfwhichmaybeexplainedsimplyasduetoinsufficientoxygenatomsbeingavailabletoformatetrahedrally connectedAlO4 networkandAlO6.
WhenCaOisaddedtoAl2O3 ,itincreasestheO:Alratiowhilemaintainingchargebalancesuchthat,at50:50CaO:Al2O3 (CaAl2O4)enoughoxygenatomsarepresenttoformafullyconnectedAl-Otetrahedralnetwork.
Onquenching,theAlO5 polyhedrareorganizetoformaglassnetworkmadepredominantlyfromcornersharingAlO4 tetrahedra.InthisprocessthereisaremovalofAl-centerededge-sharingmotifs(Al06).
SnapshottakenfromtheMDsimulationsat2500K
SomeconsiderationsontheglassformingabilityofCA
Thecalciumatomsthenlocatethemselvesinthevoidsbetweenthetetrahedra.
Snapshotsillustratingthelargestclustersofedge-sharingCa-centeredpolyhedra intheMDsimulations.
Liquid Glass
TheCa-O coordinationnumbershowsasmallincreasefrom6.0(2)to6.4(2),andthereisalargechangeintheconnectivityoftheCa-centeredpolyhedra withtheformationintheglassofbranchedchainsinvolvingedge- andface-sharinglinkages.
J.W.E.Drewittetal Phys.Rev.Lett.,109235501(2012)
0
0.5
1
1.5
4050 4100 4150 4200
Nor
mal
ized
Int
ensi
ty
E (eV)
1950K Liquid
CaAl2O
4 T
l=1878K
Ca3Al
2O
6 T
l=1930K
300K Crystal
0.1
0.2
0.3
0.4
4038 4040 4042 4044
1950K Liquid
CaAl2O
4
300K Cristal
0.6
0.7
0.8
0.9
1
1.1
4036 4038 4040 4042
1950K Liquid
Ca3Al2O
6
300K Cristal
CA:Ca6-7foldcoordinationwithapre-edgeat4041.1eVandnochangewithtemperature
C3A:cubic,Ca6foldcoordinationwithoutpre-edgeatRTandwithasmallpre-edgeat1950K– PerfectCaO6intheglass.
C3A(Ca3Al2O6)
CA=(CaAl2O4)
XANESattheCalciumKabsorptionedge
0
0.5
1
1.5
2
1540 1560 1580 1600 1620 1640 1660 1680 1700
Nor
mal
ized
Int
ensi
ty
E (eV)
1950K1830K
300K
Ca3Al
2O
6
Tl=1930K
1000K
a
b'
c d e
C3A=Ca3Al2O6
Crystal=>Alin4foldcoordinationwith2BridgingOxygen,Q2 speciesNochangeobservedwithincreasingtemperature.AlinQ2
Neuville etalAmericanMineralogist,93,228-234(2008)
XANESattheAlKabsorptionedge
AsforCA,wemadeneutrondiffractionwithisotopicsubstitution.
Moleculardynamics(MD)simulationandreverseMonteCarlo(RMC)refinementmethodswereemployedtoobtainadetailedatomisticmodeloftheliquidstructure.
J.W.E.Drewittetal Phys.Rev.B.,109235501(2012)
The further addition of CaO does not give rise to highercoordinated aluminum atoms but rather broadly maintainsthe AlO4 motifs while increasing the number of NBOatoms in the network (Al in Q2).
As the number of NBO atoms increases, the rigidity and stability of the network willdecrease, which would suggest a steady weakening of its glass-forming ability.However, the network may still, to a certain extent, be stabilized by the increasednumber of Ca atoms occupying voids in the network.
The composition of 75% CaO studied here appears to be the upper limit of the glassforming region for the CaO-Al2O3 system.The results demonstrate that a significant number of unconnected AlO4 monomersand Al2O7 dimers which do not belong to an infinitely connected cluster arealready present.The number of these isolated units is expected to increase as the CaO contentincreases further.
CaO
SiO2
Al2O3
CA33.17
CA50.0
CA0.50
Notation:CAx.y
x=%SiO2y=%Al2O3100-x-y=%CaO
R=CaO/Al2O3
R=1R=3
Invertglassarea
Aluminosilicates:SiO2-Al2O3-CaO
CA0.25
R=1.57
CA0.39