Dependence of energy and orientation of 90° Bloch wall on stress

Kaczér, J.; Zelený, Michal

doi:10.1007/bf01557283

Cited by 14 publications

(12 citation statements)

References 8 publications

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“…The calculated value of the angle between facets which gives minimum energy, 125", agrees with the observed value [14, 15J. The length of one zig-zag period is in the range 6 to 12 pm [15]. Since an elastic deformation is caused by walls of the form {lll}, and is different for (111) and (11 I) facets L21, there must be inhomogeneous lattice distortion concentrated around the junctions of (111) and (111) facets, and such distortion is expected to produce diffraction contrast.…”

Section: Pine Structure Of 90' Wallssupporting

confidence: 85%

“…Then, for example, the abrupt termination of 'fringes' a t points where fir-tree arms join the wall becomes understandable. The specimen thickness divided by the number of fringes is generally about 13 to 11 pm and is comparable with the length of a zig-zag period as observed on surface outcrops [15]. It is just a coincidence that it is also similar t o the Pendellosung period insome of the most frequently useddiffraction conditions (Table 1) I n what proportion the observed diffraction contrast is t o be attributed t o the facets themselves, or to the facet junctions.…”

Section: Pine Structure Of 90' Wallsmentioning

confidence: 55%

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On the fine structure of X-ray topographic images of 90° ferromagnetic domain walls in Fe–Si

Polcarová

Lang

1971

Phys. Stat. Sol. (a)

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Fringe patterns in X‐ray topographic images of 90° ferromagnetic domain walls in Fe–3 wt% Si single crystal specimens prepared as plates parallel to (001) have been investigated with a wide variation of experimental conditions including changes of specimen thickness (in the range 75 to 340 μm), Bragg reflecting plane, order of reflection and X‐ray wavelength (AgKα, MoKα, and CoKα). It is demonstrated that the fringes are dominantly images of real internal fine structure of the 90° walls rather than an X‐ray interference effect, i.e. fault surface fringes. The fringe pattern results from the walls having a zig‐zag structure: walls of mean orientation (110) being composed of facets roughly parallel to (111) and (111). X‐ray topographs enable the mean orientation of the walls to be measured (it may depart by up to 10° from (110)), and the zig‐zag period to be determined (mean value 13 μm) at points within the crystal.

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Section: Pine Structure Of 90' Wallssupporting

confidence: 85%

Section: Pine Structure Of 90' Wallsmentioning

confidence: 55%

On the fine structure of X-ray topographic images of 90° ferromagnetic domain walls in Fe–Si

Polcarová

Lang

1971

Phys. Stat. Sol. (a)

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“…The dark regions are the remains of surface closure domains with magnetization vectors parallel to the surface. The 90" Bloch walls are zigzag-like in agreement with the theory [17].…”

Section: Internal Magnetic Domain Structuresupporting

confidence: 85%

Spatial replica of ferromagnetic domains in iron-silicon alloys

Libovický

1972

Phys. Stat. Sol. (a)

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The decomposition of some iron‐silicon alloys at low temperatures is influenced by spontaneous magnetization in each ferromagnetic domain. The anisotropic decomposition structure is frozen in by cooling and in this way a spatial replica of magnetic domain structure is produced, which was present in the sample at the time of ageing (at a temperature of about 600 °C). It is then revealed at room temperature on any cut through a bulk specimen. All 90 and 180° domain walls are clearly visible. Spatial reconstruction of the internal magnetic domain structure was performed by successive polishing and etching. By the same method the interaction of domain walls with dislocation networks was observed.

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“…Chikazumi et al [1], Kaczer and Zeleny [3] explained this decomposition as due to the dependance of the surface energy of the wall as a function of its crystallographic orientation. Taking into account the anisotropy and the exchange contribution only, in the computation of the total energy, they found that the equilibrium position of the wall is 280 away from the (110) plane.…”

mentioning

confidence: 99%

“…Decomposed Bloch walls : a necessity. -Several authors [1,3,9,10] have computed the energy of a 900 Bloch wall versus its crystallographic orientation. They take into account i), the anisotropy contribution inside the wall where the magnetization is no longer along an easy axis and ii), the exchange energy since, in the wall, the direction of the magnetization changes from point to point.…”

mentioning

confidence: 99%

Decomposed bloch walls in iron

Labrune

1976

J. Phys. France

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2014 On étudie le problème magnétoélastique posé par une paroi de Bloch à 90° en zigzag dans le fer. Paroi selon un plan moyen (110), cas habituel, ou selon un plan (100) pour certaines structures induites sous contraintes. Les déformations élastiques, dues à la. magnétostriction, sont calculées dans les deux cas. Le terme d'énergie magnétoélastique, ajouté aux contributions issues de l'anisotropie et de l'échange, permet de connaitre la valeur totale de l'énergie associée à cette paroi en zigzag et de calculer la période et l'angle des zigzags à l'équilibre. Dans le cas d'une paroi (110) on applique ces résultats à l' étude du contraste observé par la méthode de Lang pour des réflexions 110. Abstract. 2014 The magnetoelastic problem of a zigzag 90° Bloch wall in iron is studied, either for a (110) or (001) wall. The elastic strains, due to magnetostriction, are calculated in both cases. The total energy of a zigzag wall is obtained by adding, to the usual anisotropy and exchange contributions, the elastic term. Thus we find the equilibrium values for the periodicity and the angle of the zigzag. Finally, we briefly discuss the contrast observed by X-ray diffraction topography of (110) walls for 110 reflexions.

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Dependence of energy and orientation of 90° Bloch wall on stress

Cited by 14 publications

References 8 publications

On the fine structure of X-ray topographic images of 90° ferromagnetic domain walls in Fe–Si

On the fine structure of X-ray topographic images of 90° ferromagnetic domain walls in Fe–Si

Spatial replica of ferromagnetic domains in iron-silicon alloys

Decomposed bloch walls in iron

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