o62-the fe-sn-zr system at 900°ctofa2010/apresentacoes_tofa2010/o62... · 2010-11-03 · j.-c....
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J.-C. Savidan
J.-M. Joubert
Chimie Métallurgique des Terres RaresInstitut de Chimie et des Matériaux Paris-EstCNRSThiaisFrance
The Fe-Sn-Zr system at 900°C
C. Toffolon-Masclet
Service des Recherches Métallurgiques AppliquéesLaboratoire d'Analyse Microstructurale des MatériauxCEASaclayFrance
Introduction• use of zirconium alloys as fuel cladding materials in nuclear reactors
• iron and tin are the main alloying elements
• the knowledge of the complete phase diagram is a prerequisitebefore modeling by techniques such as Calphad
Nuclear fuel
cladding
Fuel
bundle
Outline
• introduction
• presentation of the constituting binary systems
• partial phase diagram of Nieva and Arias
• experimental techniques
• results
• conclusions and outlook
Constituting binary systemsPourcentage massique de Sn
Liquide 2
Fe 5
Sn
3
Liquide 1L1 + L2
Fe 3
Sn
2
1130°C31 69
1495°C
910°C
806°C
770°C
513°C
765°C
607°C
8
94.5
.
96.797.5
99.76
FeS
n
FeS
n2
βSn
400
600
800
1000
1200
1400
16000 10 20 30 40 50 60 70 80 90 100
αFe
Tc770°C
9.2
6.5
3.5
Tem
péra
ture
°C
1538°C
δFe
912°C
1394°C
943 °C
Liquide
Sn
1987 °C
ηηηη
Zr5Sn3
79
β
βZr
αZr
1327 °C
1917
1142 °C
ZrSn2Zr5Sn4
Zr4Sn
1855 °C
74.9
11.8
400
600
800
1000
1200
1400
1600
1800
2000
2200
Tem
péra
ture
°C
Pourcentage massique de Sn0 10 20 30 40 50 60 70 80 90 100
1600 °C
ouA15
ZrSn2Zr5Sn4Zr5Sn3
A15
Fe5Sn3
Pourcentage atomique de Sn SnFe
FeS
n
231.9681°C231.96°C
10 20 30 40 50 60 70 80 90 1000200
Pourcentage atomique de Sn SnZr10 20 30 40 50 60 70 80 90 1000
232°C200
A15
232 °C
FeSn
Sn Zr
ZrFe
A15
Zr2Fe
C15
[Stein, J. Phase Equilib., 2002]
Fe-Sn: [Predel, Landolt-Börnstein, 2005]
[Jerlerud, Calphad, 2008]
Partial ternary phase diagramNieva and Arias,J. Nucl. Mater. 359 (2006) 29-40
Snliquid
ZrSn2
900 °C
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Partial ternary phase diagramNieva and Arias,J. Nucl. Mater. 359 (2006) 29-40
Snliquid
ZrSn2
Presence of two new ternaryphases:
- X
900 °C
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Partial ternary phase diagramNieva and Arias,J. Nucl. Mater. 359 (2006) 29-40
Snliquid
ZrSn2
Presence of two new ternaryphases:
- X- N
with unknown crystal
900 °C
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
with unknown crystalstructures
Snliquid
ZrSn2
Aim of this work
- determine the phase equilibriain the Zr-poor region
- investigate the crystal structureof the intermetallic compounds
900 °C
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Experimental techniques
• synthesis by arc melting of the pure element
• annealing at 900°C between 12 and 30 days
• characterization by XRD, analysis by the Rietveld method
• composition analysis by EPMA
• metallography by SEM
liquid
ZrSn2
Synthesized compositionsSn
14 different samples
900 °C
ZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Fe Zr
Snliquid
ZrSn2
Results: X phase900 °C
sample synthesized in themiddle of the single phase fieldof the X phase
nominal composition
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Snliquid
ZrSn2
Results: X phase900 °C
sample synthesized in themiddle of the single phase fieldof the X phase
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
analyzed compositions
X’’
X’
6000
8000
(
coun
ts)
Two phases X’ and X’’• strongly different diffraction patterns• characteristic lines for each phase
X’’
X’
30 31 32 33 34 35 36 37 38 390
2000
4000
I (co
unts
)
2 θ (°)
Snliquid
ZrSn2
900 °C
sample synthesized in themiddle of the single phase fieldof the X phase
nominal compositionanalyzed compositions
Two phases X’ and X’’
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
analyzed compositions
X’’
X’
6000
8000
Two phases X’ and X’’• the sample with intermediate composition contains peaks of both phases• further confirmation that two phases are present• unfortunately, none of the phase could be indexed
X’’
X’
so-called X composition
30 31 32 33 34 35 36 37 38 390
2000
4000
I (co
unts
)
2 θ (°)
Snliquid
ZrSn2
Modification of the phase diagram900 °C
Nieva and Arias
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Snliquid
ZrSn2
Modification of the phase diagram900 °C
This work
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
4000
6000
(
coun
ts)
More ternary phases
bcc (Fe)
lines typical of the C36 structure(hexagonal Laves phase)
20 30 40 50 60 70 80 90 100 110 120
0
2000
I (co
unts
)
2 θ (°)
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
C36
analyzed compositions
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
6000
8000
10000
(co
unts
)
More ternary phasesthe structure could not be identified from databasesthe pattern could not be indexed ab initio
20 30 40 50 60 70 80 90 100 1100
2000
4000
I (co
unts
)
2 θ (°)
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
Y
analyzed compositions
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
4000
More ternary phasesthe structure could be identified to be isotypic with MgFe6Ge6 like UFe6Sn6it had been previously reported in the literature [Mazet, JMMM, 2000]
30 40 50 60 70 80 90 100 110 120
0
2000
I (co
unts
)
2 θ (°)
Fe6Sn6ZrFe5Sn3bcc
Snliquid
ZrSn2
More ternary phases900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
Fe6Sn6Zr
analyzed compositions
Snliquid
ZrSn2
N phase: composition900 °C
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
Snliquid
ZrSn2
900 °C
N phase: composition
nominal compositionanalyzed compositions
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
analyzed compositions
N phase: indexation
6000
8000
Automatic indexation was performed by TOPAS
20 30 40 50 60 70 80 90 100 110 120
0
2000
4000
I (co
unts
)
2 θ (°)
6000
8000
N phase: indexationAutomatic indexation was performed by TOPAS
Cell found: orthorhombic a=8.174 Åb=8.932 Åc=10.719 Å
Analysis of the extinctions:space group Pnma
20 30 40 50 60 70 80 90 100 110 120
0
2000
4000
I (co
unts
)
2 θ (°)
N phase: structure solution• estimation of the density from the known density of the binary compounds: ~7.8 c/cm3
• estimation of the cell content from the density, composition andcell volume: 15.2 Fe, 14.9 Sn and 11.5 Zr atoms• in Pnma the lowest Wyckoff multiplicity is 4• hypothesized stoichiometric composition Fe4Sn4Zr3 with 4 formula unitsper cell
• structure solution was done ab initio by global-optimization• structure solution was done ab initio by global-optimizationin the direct space• using reverse Monte-Carlo and parallel tempering as implementedin Fox program
N phase: final Rietveld refinement
8000
Atom Wyckoff x y zZr 8d 0.0519(4) 0.5511(3) 0.1357(3)Fe 8d 0.2034(7) 0.0078(6) 0.4042(5)Sn 8d 0.3839(4) 0.0693(3) 0.1448(2)Zr 4c 0.0544(6) 1/4 0.5569(5)Fe 4c 0.1286(11) 1/4 0.2655(7)Fe 4c 0.1896(11) 1/4 0.0261(7)Sn 4c 0.2400(5) 1/4 0.7879(3)Sn 4c 0.3828(5) 1/4 0.4213(3)
20 30 40 50 60 70 80 90 100 110 120
0
2000
4000
6000
I (co
unts
)
2 θ (°)
RB=5.5%
χ2=2.19
Sc3Mn2Ga6 structure typeIsotypic with Co4Ga4Zr3
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2nominal compositionanalyzed compositions
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
analyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2nominal compositionanalyzed compositions
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
analyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
20 µm
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
ααααFe Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
20 µm
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
ααααFe C36 Y
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
20 µm
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
20 µm
ααααFe C15 C36
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
nominal compositionanalyzed compositions
Sn
Equilibrium for each sample900 °C
liquid
ZrSn2
20 µm
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
20 µm
C36 Y N
nominal compositionanalyzed compositions
Sn
Final diagram900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
SummaryNieva and Arias,J. Nucl. Mater. 359 (2006) 29-40
Snliquid
ZrSn2
900 °C
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
XN
θ
Snliquid
ZrSn2
900 °C
This work
Summary
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
Snliquid
ZrSn2
900 °C
This work
Summary
Fe ZrZrFe2 (C15) Zr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
N
θ
X’’
X’
Sn 900 °Cliquid
ZrSn2
This work
Summary
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
This work
SummarySn 900 °C
liquid
ZrSn2
Fe ZrZr2Fe βZr
αZr
Zr4Sn
Zr5Sn3
Zr5Sn4
X’N
θ
Fe5Sn3
X’’
ZrFe2 (C15)
C36
Y
Fe6Sn6Zr
Conclusion
• major findings- two phases X’ and X’’ in place of X- three new phases C36, Y and Fe6Sn6Zr- complete ab initio structure determination of the N phase
• results published in [Intermetallics, 18 (2010) 2224-8]
• calorimetric measurements of the enthalpy of formation of the intermetallic are in progress
• results published in [Intermetallics, 18 (2010) 2224-8]
• ab initio DFT calculations of the enthalpy of formation of the compounds
• thermodynamic modeling and inclusion in the zircobase
• in progress: structure determination of X’, X’’ and Y
Pourcentage massique de Sn
Liquide 2
Sn
3
Liquide 1L1 + L2
1130°C31 69
1495°C
910°C
8
94.5
1000
1200
1400
16000 10 20 30 40 50 60 70 80 90 100
α Fe 9.2
Tem
péra
ture
°C
1538°C
δFe
912°C
1394°C
Fe 5
Sn
Fe 3
Sn
2
Pourcentage atomique de Sn SnFe
806°C
770°C
513°C
765°C
607°C
94.5
.
96.797.5
99.76
FeS
n
FeS
n2
231.9681°C231.96°C
βSn
10 20 30 40 50 60 70 80 90 1000200
400
600
800
α Fe
Tc770°C
9.2
6.5
3.5
Tem
péra
ture
Liquide
1987 °C
ηηηηβZr
1327 °C
1917
1142 °C
1855 °C
11.8
1200
1400
1600
1800
2000
2200Te
mpé
ratu
re °C
Pourcentage massique de Sn0 10 20 30 40 50 60 70 80 90 100
1600 °C
943 °C
Pourcentage atomique de Sn SnZr10 20 30 40 50 60 70 80 90 100
Sn
Zr5Sn3
0
79
β
232°C
αZr
1142 °C
ZrSn2Zr5Sn4
Zr4Sn
74.9
200
400
600
800
1000
1200
Tem
péra
ture
ouA15
232 °C
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