precipitation of carbo- nitrides in model steels · 2017-02-23 · université de lyon, mateis, umr...
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Université de Lyon, MATEIS, umr CNRS 5510, INSA-Lyon, Bât. B. Pascal,
F-69621 Villeurbanne Cedex
Thierry [email protected]
Precipitation of carbo-nitrides in model steels
NbN fcc in ferrite
OUTLINE
Precipitation in the FeNbVC system
Brief presentation of INSA - Lyon
Introduction:context of the work – thermodynamical modelling of the precipitation
Precipitation in the FeNbCN system
The INSA
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3 groups by dedicated know-how:
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*Prof. K. Masenelli since 2010/01
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CLYM (Centre Lyonnais de Microscopie)
http://clym.insa-lyon.fr
www.metsa.fr
CETHIL, INSA Lyon
IMP, INSA Lyon / Lyon 1and St-Etienne Universities
LaMCoS, INSA Lyon
MATEIS, INSA Lyon
CTµ, Lyon 1 University
IRCELYON, Lyon 1University
LMI, Lyon 1 University
LPCML, Lyon 1 University
LPMCN, Lyon 1 University
INL, Ecole Centrale Lyon /INSA Lyon / Lyon 1 University
LTDS , Ecole Centrale Lyon
LST, ENS-Lyon
LCC, Ecole Nationale des Mines - St-Etienne
CONTEXT of the work spring steels (Mn/Cr alloyed)
High Strength Low Alloyed steels (Nb alloyed)
© Ascometal (www.ascometal.com)
0.024 wt. % of NITROGEN 0.01 wt. %
PRECIPITATION:
Sol. Sol. HARDENING
GRAIN GROWTH control[HYDE et al. SAE
Technical paper,
(1994)]
Inverse Grain Size (1/Ø, nm-1/2)
ASTM Grain Size Number8 9 10 11 12 13 14
1600
1400
1200
1000
Research Investigation
Hyde et al 3 47
Cohen et al 34
8 10 12 14 16 18
SHEARING precipitates
Orowan mechanism
Sol. Sol. HARDENING (interaction dislocations – precipitates)
GRAIN GROWTH control
MECHANICAL RESISTANCE
DECREASES
when GRAIN SIZE
INCREASES
HEAT treatments
ABNORMAL
GRAIN GROWTH
PRECIPITATION
GRAIN PINNING
THERMODYNAMICAL MODELING of the PRECIPITATION
CLASSICAL NUCLEATION THEORY
1) NUCLEATION (driving force: solute supersaturation)
volume energy(spherical shape assumed)
surface energy(g 0.5 mJ/m², no stress effect)
R*R*R*
first nucleigrowing of
first nuclei
+ new nuclei
Pre
cip
ita
tes N
um
be
r
Size
unstable stable (grow)
(dissolve)
R*
DG*
En
erg
y
Radius
[D.A. PORTER, K.E. EASTERLING, Phase transformation in metals and alloys, London: Chapman & Hall, (1992), 514p]
[R. WAGNER, R. KAMPMANN, Materials science and technology: a comprehensive treatment, vol. 5, p. 213-302:
Homogeneous second phase precipitation, John Wiley & Sons Inc., (1991)]
Nucleation rate (N0: number of nucleation sites per unit
volume, t: incubation time, b*: condensation rate of monomers,
Z: Zeldovich's factor)
critical radius R*
nucleation enthalpy
barrier DG*
surface term
volume term
THERMODYNAMICAL MODELING of the PRECIPITATION
2) GROWTH (driving force: diffusion)
from Fick's law(spherical coordinates)
diffusion coefficient
concentration near the
precipitate/matrix interface
Cprecipitate
R* = Rmean
same (distribution density)
Pre
cip
ita
tes N
um
be
r
Size
Radius
C0(matrix)
Cinterface
so
lute
co
nce
ntr
ati
on
growth rate
R* = Rmean
Further refinements:
- Gibbs-Thomson effect
- non stoechiometric binary
alloyed precipitates
CLASSICAL NUCLEATION THEORY
3) OSTWALD coarsening (consequence of the Gibbs-Thomson effect)
[I.M. LIFCHITZ, V.V. SLYOSOV, J. Phys. Chem. Solids, 19, 1/2,
(1961), 35-50]
[C. WAGNER, Z. Electrochem, 65, (1961), 581] (LSW theory)
THERMODYNAMICAL MODELING of the PRECIPITATION
CLASSICAL NUCLEATION THEORY (summary)
Evolution of the mean radius Rmean of precipitates
Precipitated volume fraction Vp
Density of precipitates dpRemaining concentration of the solid solution (matrix)
time (log scale)
1) NUCLEATION
2) GROWTH
2bis) shrinkage of smallest precipitates
3) Ostwald coarsening
1)
2)2bis)
3)
t1/3
THERMODYNAMICAL MODELING of the PRECIPITATION
NUMERICAL CALCULATIONS (multi-class approach)
N
R
ΔNo
Ro*
0*
* exp 1 expdN G t
N Zdt kT
bt
D
* δt
' '
' '
i
p i
C CdR D
dt R C C
N
R
Ro*
R
dR
dt
growth
1) t = tON
R
ΔN1
R1*
2) t = tO 3) t = t1
N
R
4) t = t1 N
R
5) t = tn
R*Rmin
N
R*Rmin
6) t = tn
N
R*Rmin
nucleation
coarsening
[D. ACEVEDO, PhD thesis, (2007), INSA-Lyon]
[D. ACEVEDO, M. PEREZ, Computat. Materials, (2009)]
THERMODYNAMICAL MODELING of the PRECIPITATION
Precipitation in the FeNbCN system
[M. PEREZ, E. COURTOIS, D. ACEVEDO, T.
EPICIER, P. MAUGIS, Phil. Mag. Letters, 87,
(2007), 645-656 ]
Reversion in the FeVC and FeVNbC systems
[D. ACEVEDO, PhD thesis, (2007), INSA-Lyon]
[D. ACEVEDO, M. PEREZ, T. EPICIER, E.
KOZESCHNICK, F. PERRARD, T. SOURMAIL,
p.987-999 in "New developments on Metallurgy and
Applications of High Strength Steels", Vols 1/2, Min.,
Metals & Mater. Soc., Warrendale – USA,
(2009)]
Reversion and grain growthcontrol in the FeCVNbN system
[C. LEGUEN, PhD thesis, (2010), INSA-Lyon]
Dissolution in the FeVC system
model alloy
Fe - V 0.2 wt. %, C 0.48 %
[D. ACEVEDO, PhD thesis, INSA-Lyon, (2005)]
STUDY of the DISSOLUTIONof Vanadium Carbides during REVERSION treatments
EXPERIMENTAL techniques
Electrolytic dissolution + ICP (Inductive Coupled Plasma) spectroscopy
- Fraction of precipitated elements
- Precipitates statistics
Extraction replicas(+ thin foils) 500 nm
STEM
in
SEM
HAADF in TEM
[ACEVEDO-REYES D.,
PEREZ M., VERDU C.,
BOGNER A., EPICIER T.,
J. of Microscopy, 232, 1,
(2008), 112–122]
Fully Precipitated state (ferrito-perlitic)
20 mm50 mm50 mm50 mm50 mm50 mm 0.2 mm
111VC
martensite
[T. EPICIER et al., Phil. Mag., 88, 1, (2008), 31-45]
ordered V6C5
Reversion states (martensitic)
5 mm5 mm500 nm
FPS state
920°C 60'
920°C 10 days
Rk.1: normalizing histograms
FPS state
Radius (nm) Radius (nm)
Radius (nm) Radius (nm)
Raw measurements Optimized classes
Distribution density Log-normal law
Rk.2: SEM-TEM correspondence
FPS state 920°C 60' 920°C 10 days870°C 2'
TEMSEM
TEMSEM
TEMSEM
TEMSEM
t (min) 870°C 920°C 950°C
0 1227 1227 1227
2 920 394
5 114 606
10 308 356
20 302 533
60 1074 426 345
Radius (nm) Radius (nm) Radius (nm) Radius (nm)
Size of precipitates
Evolution du rayon
moyen lors d'un
traitement à 870°C
1.E-08
1.E-07
1.E-01 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05
Temps (s)
R (
m)
Model
Exp MEB
Evolution du rayon
moyen lors d'un
traitement à 920°C
1.E-08
1.E-07
1.E-01 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05
Temps (s)
R (
m)
Model
Exp MEB
Evolution du rayon
moyen lors d'un
traitement à 950°C
1.E-08
1.E-07
1.E-01 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05
Temps (s)
R (
m)
Model
Exp MEB
870°C
Time (s) Time (s) Time (s)
Rad
ius
(n
m)
Ra
diu
s (
nm
)
Ra
diu
s (
nm
)
Model
exp. SEMModel
exp. SEM
Model
exp. SEM
920°C 950°C
Volume fractionof precipitates
ThermoCalc© values
0
1E+27
2E+27
0.E+00 2.E-08 4.E-08 6.E-08 8.E-08 1.E-07
R (m)
Consistency of results: effect of the 'starting' precipitate distribution
870°C
1.E-08
1.E-07
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07
870°C exp
920°C exp
950°C exp
Ra
diu
s (
nm
)
Time (s)
7
870°C
920°C
950°C
from experimental
distribution
Experimentally observed FP state (SEM / HAADF)
Radius (nm)
1.E-08
1.E-07
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07
870°C simulée
920°C simulée
950°C simulée
Ra
diu
s (
nm
)
Time (s)
7
870°C
870°C
920°C
950°C
from simulated distribution
0
1E+27
2E+27
3E+27
4E+27
0.E+00 1.E-08 2.E-08 3.E-08 4.E-08
R (m)
LSW-type simulatedFull Precipitated state
(after 10 days at 800°C)
Radius (nm)
same
mean
radius
Precipitation in the FeNbCN systemmodel steel
Fe - Nb 790 wt. ppm, C 120 ppm, N 10 ppm(800°C, 30’)
50 nm
HETEROGENEOUS
Precipitation
HOMOGENEOUSprecipitation
heterogeneous precipitation
of NbC (c.f.c.)
in -Fe‘BAKER-NUTTING’ O.R.
[T. EPICIER, Adv. Eng. Mater. 8, 12, (2007), 1197-1201]
50 nm
Model steel
Fe - Nb 843 ppm, C 59 ppm, N 64 ppm(650°C, 30’)
heterogeneous precipitation of NbC (c.f.c.)
and homogeneous precipitation of NbN (c.f.c.)
in -Fe(‘BAKER-NUTTING’ O.R.)
[É. COURTOIS, T. EPICIER, C. SCOTT, Micron, 37 (2006), 492-502]
DF BF DF
2 nm
BAKER-NUTTING O.R.:
[110]F.C.C. // [001]Fe-
[001]fcc // [001]Fe
[110]fcc
// [100]Fe
model steel
Fe - Nb 790 wt. ppm, C 120 ppm, N 10 ppm(800°C, 30’)
Model steel
Fe - Nb 843 ppm, C 59 ppm, N 64 ppm(650°C, 30’)
[001]fcc // [001]Fe
[110]fcc
// [100]Fe
(d220NbC - d100
Fe)
d100Fe
NbC, fcc, aNbC = 4.47 Å
d'in plane' = = 10.28 %
(d220NbC - d100
Fe)
d100Fe
NbN-d, fcc, aNbN = 4.394 Å
d'in plane' = = 8.41 %
-Fe (ferrite):cc, a = 2.866 Å
Perfect fcc structurefor B.N.:
afcc = aFe 2 4.053 Å
(d220VC - d100
Fe)
d100Fe
VC, fcc, aVC = 4.17 Å
d'in plane' = = 2.88 %
2 nm
111
111
-
-
[T. EPICIER et al., Phil.
Mag., 88, 1, (2008), 31-45]
2 nm
-Fe [001]
(110) at 0.203 nm
COMPATIBLE with a Nb-(100) plane in FERRITE
Fe ferrite
Nb
N
Model steel
Fe - Nb 843 ppm, C 59 ppm, N 64 ppm(650°C, 30’)
NOT OBSERVED in the C-rich steel:
NbN platelets?
2 nm
ATOMIC PLATELETS or ‘G.P. zones’ NANO-PRECIPITATES
C
Fe
O
NbNATOMIC
PLATELETS:
N-enriched (?)
EDX nano-analysis
probe 1 nm
0 0.5 1 1.5 2 2.5 (keV)
counts
EVIDENCE for a DOUBLE
POPULATION of ‘OBJECTS’
2 nm
Atom Probe Tomography
CONFIRMATION of a DOUBLE
POPULATION of ‘OBJECTS’
4 nm
Fe
N-enriched
(ATOMICPLATELETS…)
Nb 55 ± 3 at. %
C 8 ± 1 at. %
N 37 ± 2 at. %
0
0.25
0.5
0 5 10 15 20 25 30
0
0.25
0.5
0 5 10 15 20 25 30
0
0.25
0.5
0 5 10 15 20 25 30
0
0.25
0.5
0 5 10 15 20 25 30
NbN
Nb
N
C
analysed depth (nm)
atomic concentration (%)
1 nm
‘carbo-nitrides’
(NANO-PRECIPITATES…)
Nb 47 ± 3 at. %
C 20 ± 1 at. %
N 33 ± 2 at. %
[T. EPICIER, F. DANOIX,
F. VURPILLOT, PTM 2010, Avignon-F,
and to be published]
211
121
121
211
130
310
110
_
_
and Field Ion Microscopy...
CONFIRMATION of both
ATOMIC PLATELETS and NANO-PRECIPITATES
by FIELD ION MICROSCOPY
001 101
011_
_
011
101
and Field Ion Microscopy...
211
121
121
211
130
310
110
_
_
Details of the analysis of ATOMIC PLATELETS
FIM evaporation sequence
and Field Ion Microscopy...
211
121
121
211
130
310
110
_
_
AA
B B
tr001
tip section (001)
[110]
tr100
tr010
and Field Ion Microscopy...
3D analysis of the FIM evaporation sequence
tr001
tr001
tip section (001)
[110]
tr100
tr010
and Field Ion Microscopy...
3D analysis of the FIM evaporation sequence
tip projection [001]
[110]
(110)Fe at 0.2 nm
tip section (001)
[110]
tr100
tr010
and Field Ion Microscopy...
3D analysis of the FIM evaporation sequence
[110]
tip section (001)
[110]
tr100
tr010tip projection [001]
Back to High Resolution TEM...
indicative HRTEM simulations
df = - 90 nm - 60 nm + 45 nm
experiment / simulation experimt / simulatn experimt / simulatn
AVERAGE PROFILE
ACROSS
the DEFECT
experiment
simulation
‘rough model’:
substitution of
Fe atoms by
Nb atoms in a
(001) plane(NO metalloïd,
NO atomic
relaxation)
total thickness:20 nm Fe +
20 nm platelet (Fe,Nb)
COMPATIBLE with a Nb-(100) plane in FERRITE
Guinier-Preston type ZONES in a pure Fe-Nb-N system
SANS study[DESCHAMPS A., DANOIX F., EPICIER T., DE GEUSER, F., PEREZ M. PTM-Avignon, F, ( 2010)]
I.L.L.,Grenoble-F
Magnetic signal
Nuclear signal
Project O6|BLAN|0205
Guinier-Preston type ZONES in a pure Fe-Nb-N system
180
200
220
240
260
Mic
rohard
ness
Microhardness
0
0.01
0.02
0.03
0.04
0.05
1
10
100
10 100 1000 104
105
Volu
me fra
ction (
%)
Pre
cip
itate
density
(10
20 m
-3)
Number density
Volume fraction
Time (s)
10-5
0.0001
0.001
0.01
0.04 0.07 0.1 0.4
Experiment
Model
Magnetic scattering intensity (cm-1
)
q (�-1
)
300 s
10-5
0.0001
0.001
0.01
0.04 0.07 0.1 0.4
ExperimentModel
Magnetic scattering intensity (cm-1
)
q (�-1
)
600 s
10-5
0.0001
0.001
0.01
0.04 0.07 0.1 0.4
ExperimentModel
Magnetic scattering intensity (cm-1
)
q (�-1
)
180000 s
10-5
0.0001
0.001
0.01
0.04 0.07 0.1 0.4
ExperimentModel
Magnetic scattering intensity (cm-1
)
q (�-1
)
1800 s
10-5
0.0001
0.001
0.01
0.04 0.07 0.1 0.4
ExperimentModel
Magnetic scattering intensity (cm-1
)
q (�-1
)
18000 s
0.01
0.1
0.02 0.06 0.1 0.5
300 s
600 s
1800 s
18000 s
180000 s
Nuclear scattering intensity (cm-1
)
q (�-1
)
0
10
20
30
40
50
60
Asquenched
100 1000 104
105
Rg
Radius
Thickness
Precipitate size (�)
Time (s)
(nm)
TEM[001]-ferrite grain
60 x 60 x 300 nm3 NbN
diameter close to 10 nm
APT
Guinier-Preston type ZONES in a pure Fe-Nb-N system
10 nm
50 hrs @ 600°C
80 x 80 x 70 nm3
back to FeNbCN system…
200 nm
HAADF (replica)
substoichiometric CARBO-NITRIDES
average chemistry NbC0.58N0.27
pure NITRIDES Nb1N1
NbC0.57N0.29
NbN1
Nb- M
C-K
N-K
30’ – 650°C 126 h. – 650°C
2 nm
5’ – 600°C
nitride (N) precursor
carbo-nitride (CN)
200 nm
CN
N
N
N
N
CN
Replica (30’ – 650°C)
EELS
Introduction to EELS
V-L2,3513 eV
N-K401 eV
C-K284 eV
x 100
plasmons
elastic zero-loss
peak
core-lossexcitations
1background subtractionpower-law E-r
2Fourier deconvolution(simple scattering)
Sexp(E) = Ssimple(E) Splasmon(E)
Ssimple(E) = TF-1 [ ]TF[Sexp(E)]
TF[Splasmon(E)
]
[R.F. EGERTON, ‘Electron
Energy-Loss Spectroscopy in the
Electron Microscope’, 2nd Ed.,
Plenum Press (1996), 485 p.]
3quantitative analysis
AC
NX AX sY(DE, beff)
NY AY sX(DE, beff)
AN
AV
cross-section for inelastic scattering
DE
collection angle
=
quantitative element analysis
Electron Energy-Loss Near-Edge fine Structures (ELNES)
[A.J. SCOTT et al., Phys. Rev. B, 63, 245105, (2001)]
C-K in ZrC
C-K in NbC
C-K in TiC
C-K in VC
occupied state
3s/3p anti-bond.
3s/3p bonding st.
2p
2s
1s
energy E
fundamental state
D.O
.S. D
en
sity
of S
tate
s
1s excited state
primary electron
DE energy loss
unoccupied states
NbC1
Nb2C
[T. EPICIER, E. COURTOIS, C. SCOTT, unpublished]
EELS in thin foils
FeCrN system[P. JESSNER, PhD, GPM-Rouen]
Fe-L2,3708 eV
Cr-L2,3575 eV
N-K401 eV
O-K532 eV
inadequate background- too thick
- slight C contamination
- cannot extract edge areas
properly
C-K residu
O-KN-K
Cr-L2,3
Fe-L2,3
C-K284 eV
EELS references
Nb-M from NbC0.95, Nb6C5, NbN (powders / bulk single- or poly-crystals)
C-K in NbC from NbC0.95, Nb6C5 (powders / single-crystal)
C-K in VC from V6C5 (bulk poly-crystals)
C-K in amorphous carbon from C-film (TEM grid)
N-K in NbN from NbN (powder)
N-K in TiN VN from TiN (precipitates) and VN (literature)
Ti-L from TiN (precipitates)
Cr-L from CrN, Cr2N
N-K in CrN from CrN
O-K in Fe2O3 from oxidized Fe thin films
Fe-L in Fe2O3 from oxidized Fe thin films
N-Kedge
Cr-L2,3 edge
tail extrapolation
[C. MITTERBAUER et al., Sol. State
Comm.,130, (2004), 209–213]
CrN
Quantitative Least-Mean Square Fitting
from normalized references
Fe-L2,3708 eV
Cr-L2,3575 eV
N-K401 eV
O-K532 eV
Quantitative Least-Mean Square
Fitting from normalized references
Cr1N1
spurious oxidation
CrxFe?Ny platelet
probe 3 nm
Quantitative composition results for the CARBO-NITRIDE precipitates
30 min-650°C 126h-650°C
Nb1C0.59N0.23 = 0.82[C+N]
[Nb]
[C]/[Nb][N]/[Nb]
[C]/[Nb][N]/[Nb]
Nb1C0.58N0.27 = 0.85[C+N]
[Nb]
precipitate = Nb(C1N2
) + bV(Cb1Nb2
) + gTi(Cg1Ng2
) + eCam
+ b + g= 1 0.5 1 + 2 1
0.5 b1 + b2 1
0.5 g1 + g2 1
y [0.5, 1] in
cubic MXy carbonitridese = 0 if NO CONTAMINATION
0
2000
4000
6000
8000
200 250 300 350 400 450 500 550
Energy Loss (eV)
Counts
(a.u.)
ref. 1Nb-M45
ref. 2 C-K*
ref. 3 N-K*
ref. 4Ti-L23 ref. 5
V-L23
reconstructed spectrum
experimental spectrum O-K
(oxidation)
0
2000
4000
6000
8000
200 250 300 350 400 450 500 550
Energy Loss (eV)
Counts
(a.u.)experimental spectrum
(Nb,V,Ti)(C,N) precipitate
Fitting windows
Application to complex mixed carbo-nitrides
[LEGUEN C, PhD thesis, INSA-Lyon, ( 2010)]
MODELLING of NbN + NbCNpopulations
[M. PEREZ, É. COURTOIS, D. ACEVEDO, T. ÉPICIER,
P. MAUGIS, Phil. Mag. Letters 87, 9, 645, (2007)]
G.P. zones:nitride (N)precursors
f.c.c. carbo-nitrides (CN)
Nb
N
C
carbo-nitrides (CN)
nitrides (N)
0
0.1
0.2
0.3
0.4
0.5
0.6
1 10 100 1000 10000 100000 1000000
Time (s)
Xp
Xp_Nb_NbCN
Xp_N_NbCN
Xp_C_NbCN
Xp_Nb (EELS)
Xp_N (EELS)
Xp_C (EELS)
Xp_Nb (TAP)
Xp_N (TAP)
Xp_C (TAP)
Volume fractionAtomic compositions
Precipitation in the FeNbVC system
[D. ACEVEDO, PhD thesis, INSA Lyon, (2007)]
[D. ACEVEDO, M. PEREZ, T. EPICIER et al., Min., Metals & Mater. Soc., (2009)]
A SUMMARY…
- TEM analysis (EDX, HAADF) demonstrates that the dissolution of precipitates
involves the co-existence of TWO populations: V-rich and Nb-rich carbides
STEM-HAADF (6 days @ 950°)%V %Nb (normalized)
99.7 0.3
%V %Nb
8.0 92.0
0.2 mm
- Thermodynamical modelling confirms this process
- Experimental conditions
fatom(q) = Z (Rutherford scattering)
(q = , a0 = e0h2/pm0e
2 - Bohr’s radius -, Z : atomic number)
f²atom(q) Z² and IHAADF(q) roughly Z2
1
2p2a0q2
2sin(q)
l
STEM High Angle Annular Dark Field for CHEMISTRY
Annular detector collection of
INCOHERENT electron scattered
at high angle
NO DYNAMICAL SCATTERING
- Background on HAADF
power-law
IHAADF Z1.89
collection angles
70 – 186 mRad
Quantitative chemistry in ‘mixed’ (V1-xNbx)C precipitates
extraction C-replica of (V,Nb)Cprecipitates within ferrite
%V %Nb (at. normalized)
75.1 24.9
100 0
97.7 2.3
1
1
2
2EDX
analysis
IHAADF Z ( = 1.7 – 2)
the HAADF intensity is‘linearly linked to the chemical
composition for a given thickness
IHAADF
% at. [Nb] in V1-xNbxC
VC (x=0) NbC (x=1)
mass-thickness
IHAADF
[EPICIER T., TOURNUS F., SATO K., KONNO T., IMC17, (2010)]
dedicated software
to analyse the
HAADF images
(quantitative
measurement of the
intensity assuming
spherical particles)
normalization to a given thickness
(e.g. 50 nm)
size (nm)
size (nm)
normalization to a given thickness
(e.g. 50 nm)
size (nm)
size (nm)
"pure VC"
"pure NbC"
IHAADF = (1-x)IV + xINb + ICin V1-xNbxC
Intensity normalized at 50 nm vs. "chemistry"
accuracy on the [Nb] at.
content 20 %
(non-spherical particles) Intensity
Illustration (alloy Fe-(V,Nb)C: reversion at 950°C)
mean [Nb] (at.%)
normalized histogram of chemical composition
570 particles
normalized histogram of chemical composition
235 particles
mean [Nb] (at.%)
950°C, 0’ (reference state) 950°C, 120’
570 particles in HAADF
97 particles in EDX
0.1 mm
1
2
3
4
5
6
7
9 10
11
12
8
detail
EDX
[V] at. % [Nb] at. %
1 8.9 91.1
2 8.0 92.0
3 3.3 96.7
4 5.1 94.9
5 5.7 94.3
6 6.9 93.1
[V] at. % [Nb] at. %
7 98.6 1.4
8 95.6 4.4
9 99.8 0.2
10 98.0 2.0
11 100.0 0.0
12 97.4 2.6
LARGE V-rich particles, SMALL Nb-rich particles
Thermodynamical modelling
0.0%
0.1%
0.2%
0.3%
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07
Temps (s)
Fra
cti
on
Vo
lum
iqu
e
VC ModèleNbC ModèleVC DosageNbC Dosage
Vo
lum
e f
rac
tio
n
Time (s)
0
20
40
60
80
100
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07
Temps (s)
% a
t d
e V
an
ad
ium
Model
Dissolution + dosing
HAADF
0
20
40
60
80
100
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07
Temps (s)
% a
t d
e V
an
ad
ium
Model
Dissolution + dosing
HAADF
Va
nd
ium
at.
%
electrolytic dissolution
TEM-HAADF Time (s)
global enrichment in [Nb] as a function
of time:
coarsening / dissolution of VC-rich
precipitates
Nio
biu
m a
t. %
Time (s)
Acnowledgements
Frédéric DANOIX, GPM-Rouen (AP)FIM
Frédéric De GUEUSER, Williams LEFEBVRE, GPM Rouen alliages Al-(Mg,Si)
Églantine COURTOIS, Michel PEREZ, Claire LEGUEN, MATEIS Lyon système FeNbCN
Rachid EL BOUAYADI, Daniel ARAUJO, MATEIS Lyon HAADF quantitatif
Gilbert THOLLET, Annie MALCHÈRE, Agnès BOGNER, Daniel ACEVEDO, MATEIS Lyon MEB/ESEM
J. DOUIN, CEMES Toulouse, Patricia DONNADIEU, SIMAP Grenoble images GPA
Centre Lyonnais de Microscopie
Pascale BAYLE-GUILLEMAUD, CEA Grenoble, Béatrice VACHER, ECL Écully EFTEM