Critical Behavior of Antiphase Boundaries in Fe-A127% Close to the D03→B2 Order Phase Transition

Floc'h, D. Le; Loiseau, Annick

doi:10.1557/proc-398-551

Cited by 3 publications

(2 citation statements)

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“…By fitting simulated fringe profiles to experimental ones, we can extract the thickness of the domain walls in a quantitative way. A similar method also using the weak beam technique has recently been used for the determination of the thickness of antiphase boundaries [11]. The simulation of the weak beam images is performed using the HowieWhelan approach of the dynamical theory of electron diffraction.…”

Section: Methodsmentioning

confidence: 99%

A comparison of HREM and weak beam transmission electron microscopy for the quantitative measurement of the thickness of ferroelectric domain walls

Foeth

Sfera

Stadelmann

et al. 1999

Journal of Electron Microscopy

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In this paper we present two methods for the quantitative measurement of the thickness of ferroelectric domain walls, one using high-resolution electron microscopy (HREM) and the other weak beam transmission electron microscopy (WBTEM). These techniques can be used to determine the thickness of domain walls at room temperature as well as close to the ferroelectric to paraelectric phase transition. The first method allows a direct visualization of the lattice distortion across the domain wall, by measuring the continuous deviation of a set of planes with respect to the undistorted lattice. The second method consists in a quantitative analysis of the thickness fringes that appear on weak beam images of inclined domain walls. By fitting simulated fringe profiles to experimental ones, we can extract the thickness of the domain walls in a quantitative way. These two complementary techniques lead to a complete characterization of the thickness of ferroelectric domain walls over a wide range of specimen thicknesses at different magnifications. As an example we apply these methods to ferroelectric domain walls in PbTiO 3 . The domain wall thickness at room temperature is found to be 1.5 ± 0.3 nm using HREM (in very thin samples =10 nm) and 2.1 ± 0.7 nm using WBTEM (in samples thicker than 30 nm).Keywords high-resolution electron microscopy, weak beam imaging, ferroelectric domain walls, PbTiC^, image simulation, quantitative electron microscopy

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Section: Methodsmentioning

confidence: 99%

A comparison of HREM and weak beam transmission electron microscopy for the quantitative measurement of the thickness of ferroelectric domain walls

Foeth

Sfera

Stadelmann

et al. 1999

Journal of Electron Microscopy

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“…We consider the DO3-B2 phase transition which occurs at T=547 °C [26]. This is a second order transition, and two DO3 translation variants correspond to a given variant of B2 [27]. We can infer that there is a small amount of B2 phase consists in the sample after annealed at 600 °C.…”

Section: Resultsmentioning

confidence: 99%

The influence of annealing temperature on hyperfine magnetic field and saturation magnetization of Fe–Si–Al–Cr flake-shaped particles

Zhang

Wang

et al. 2016

Journal of Alloys and Compounds

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Critical Behavior of Antiphase Boundaries inFe3Alclose to theDO3
Floc'h
¹
,
Loiseau
²
,
Ricolleau
³

et al. 1998
Phys. Rev. Lett.
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By combining weak beam and conventional dark field transmission electron microscopy observations, we have determined the critical behavior of antiphase boundaries (APB) close to the second order DO 3 -B2 order-disorder transition in Fe 3 Al. The weak beam technique is particularly accurate since the intensity of the APB fringes decreases exponentially when the width of the boundaries, proportional to the correlation length j, increases. The measured critical exponent n 0.64 6 0.1 is in good agreement with theory as well as with scattering experiments in the B2 phase.[S0031-9007(98)07084-7] PACS numbers: 61.72.Ff, 61.16.Bg, 64.60.Fr, 82.65.Dp When translational symmetry is broken during an ordering reaction on a fixed lattice, several types of domains appear, bounded by domain walls or antiphase boundaries (APB). These APB are sharp at low temperature and broaden when the temperature increases, but their final behavior close to the order-disorder temperature T c depends on the order of the transition. In the case of first order transitions, the disordered phase may wet the APB which then splits into two order-disorder interfaces separated by a distance diverging as ln͑T c 2 T ͒ 21 . This has been observed in several systems displaying ordered structures of the L1 2 type on the fcc lattice. This wetting phenomenon, first examined in CoPt 3 [1], has been fully characterized in Cu 3 Pd [2]; for reviews, see Ref. [3].In the case of second order transitions a completely different behavior is expected. Assuming a scalar order parameter f, a simple f 4 Landau-Ginzburg theory predicts that f should vary across the APB as f 0 tanh͑z͞2j͒, where z is the coordinate normal to the APB, f 0 and j being the bulk order parameter and correlation length, respectively. Both f 0 and 1͞j vanish at T c so that the APB broaden ( j !`) and disappear (f 0 ! 0). More sophisticated theories confirm this behavior [4], with the usual critical laws, f 0 ϳ t b and j ϳ t 2n , where t ͑T c 2 T ͒͞T c . The global behavior of the APB also depends on specific interface effects. In particular, the APB are expected to be rough at T c , so that only their local width can be related to j. The local width of APB is therefore a direct measure of the bulk correlation length.In this Letter we present the first study in real space of the variation as a function of temperature of the correlation length j, by measuring the broadening of APB close to a second order transition, using conventional and weak beam transmission electron microscopy.Only a few binary metallic alloys present second order phase transitions. For experimental reasons, Fe 3 Al has been chosen. Starting from high temperature the disordered bcc solid solution first orders according to the B2 (CsCl type) structure. At lower temperature a further ordering occurs on one of the simple cubic sublattices of B2, giving rise to the DO 3 structure. To avoid the complex region of the phase diagram at low Al content, we have chosen a slightly off-stoichiometric alloy (27% Al) and considered the DO 3 ...

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Critical Behavior of Antiphase Boundaries in Fe-A127% Close to the D03→B2 Order Phase Transition

Abstract: In this paper, we present the first quantitative determination of the divergence law of the correlation length ξ, when approaching the second order phase transition DO3→B2, by studying the behaviour of the APBs by transmission electron microscopy.

Cited by 3 publications

References 5 publications

A comparison of HREM and weak beam transmission electron microscopy for the quantitative measurement of the thickness of ferroelectric domain walls

A comparison of HREM and weak beam transmission electron microscopy for the quantitative measurement of the thickness of ferroelectric domain walls

The influence of annealing temperature on hyperfine magnetic field and saturation magnetization of Fe–Si–Al–Cr flake-shaped particles

Critical Behavior of Antiphase Boundaries inFe3Alclose to theDO3
Floc'h
¹
,
Loiseau
²
,
Ricolleau
³

et al. 1998
Phys. Rev. Lett.
Self Cite
7
0
0
0
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Critical Behavior of Antiphase Boundaries in Fe-A127% Close to the D03→B2 Order Phase Transition

Abstract: In this paper, we present the first quantitative determination of the divergence law of the correlation length ξ, when approaching the second order phase transition DO3→B2, by studying the behaviour of the APBs by transmission electron microscopy.

Cited by 3 publications

References 5 publications

A comparison of HREM and weak beam transmission electron microscopy for the quantitative measurement of the thickness of ferroelectric domain walls

A comparison of HREM and weak beam transmission electron microscopy for the quantitative measurement of the thickness of ferroelectric domain walls

The influence of annealing temperature on hyperfine magnetic field and saturation magnetization of Fe–Si–Al–Cr flake-shaped particles

Critical Behavior of Antiphase Boundaries inFe3Alclose to theDO3Floc'h1, Loiseau2, Ricolleau3 et al. 1998Phys. Rev. Lett.Self Cite7000View full textAdd to dashboardCite

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Critical Behavior of Antiphase Boundaries inFe3Alclose to theDO3
Floc'h
¹
,
Loiseau
²
,
Ricolleau
³

et al. 1998
Phys. Rev. Lett.
Self Cite
7
0
0
0
View full text Add to dashboard Cite