Study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ω</mml:mi></mml:math>phase in Zr-Nb alloys by Mössbauer and x-ray diffuse scattering

Lin, Weijie; Spalt, H.; Batterman, B. W.

doi:10.1103/physrevb.13.5158

Cited by 98 publications

(16 citation statements)

References 19 publications

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“…β+ω state in titanium and zirconium alloys, e..g, Zr-Nb is the prototype example of slow (in comparison with phonon time scale) interphase fluctuations [53,54]. Their qualitative description within the framework of the simplest model was suggested in Ref.…”

Section: Computational Resultsmentioning

confidence: 99%

Effect of magnetism on kinetics of γ–α transformation and pattern formation in iron

Razumov¹,

Gornostyrev²,

Katsnelson³

2013

J. Phys.: Condens. Matter

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Abstract. Kinetics of polymorphous  - transformation in Fe is studied numerically within a model taking into account both lattice and magnetic degrees of freedom, based on first-principle calculations of the total energy for different magnetic states. It is shown that magnetoelastic phenomena, namely, a strong sensitivity of the potential relief along the Bain deformation path to the magnetic state, are crucial for the picture of the transformation. With the temperature increase, a scenario of the phase transformation evolves from a homogeneous lattice instability at T < M S (M S is the temperature of the beginning of the martensitic transformation) to the growth and nucleation of embryos of the new phase at T > M S . In the latter case, a stage of formation of a tweed-like structure occurs, with a strong short-range order and slow interphase fluctuations.MSC: 74N10, 74N15, 82B26, 82B80, 82C26, 37K60

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Section: Computational Resultsmentioning

confidence: 99%

Effect of magnetism on kinetics of γ–α transformation and pattern formation in iron

Razumov¹,

Gornostyrev²,

Katsnelson³

2013

J. Phys.: Condens. Matter

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“…The factor ¼ results from the fact that four defect orientations exist, but only one of them contributes to peak n. As an example, the Kuan-Sass model gives for peak A a value IN = 1200(f) 2. It should be mentioned that the model would need a vacancy concentration of about 1% to explain the absolute intensity measurements of Lin et al (1976). This seems to be a very high value for the Zr-Nb alloy, a fact which has not been established by other means.…”

Section: \mentioning

confidence: 99%

“…The concentration of each defect depends highly on the composition and on the heat treatment of the alloy, as has been reported earlier (Berner, Geibel, Gerold & Wachtel, 1975;Berner, 1976). The purpose of this paper is to present these preliminary results and to compare them with experimental results on Zr-Nb alloys (Lin, Spalt & Batterman, 1976) and to a model calculation by Kuan & Sass (1976).…”

Section: Introductionmentioning

confidence: 99%

Evidence of non-cubic lattice distortions around vacant sites in Co–Ga β' phases

Kirchgraber¹,

Gerold²

1978

J Appl Cryst

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Diffuse X-ray diffraction from Co-Ga single crystals contaning 48 to 56 at.% Co gives evidence for strong distortion fields around vacant sites in the Co sublattice and less strong fields around Co atoms on the Ga sublattice. The distortion is comparable to that occurring in Zr-20 wt.% Nb alloys and is characterized by shifts of atoms parallel to (11 l). The distortion has some similarity to the atomic structure of the ~o phase found in Zr-10 wt % Nb.

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“…1, a contour map of diffuse neutron intensity measured by Moss, Keating & Axe (1974) from a Zr-20 wt % Nb alloy, illustrates these effects. A very similar map was observed with X-rays by Lin, Spalt & Batterman (1976). Attempts to understand the structural meaning of this intensity distribution have primarily consisted of interference calculations from models of the ~ structure into which a variety of defects are introduced.…”

Section: Introductionmentioning

confidence: 85%

Interference effects among variants

Borie¹

1982

Acta Cryst Sect A

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space residuals, R 1, R 3 and R4, leads to values which are in good agreement with each other. The following points seem noteworthy.1. There is considerable evidence that the Luzzati method leads to overall values of I Arl which are consistent with the actual differences in the model coordinates. Some overestimation of IArl may be caused by the application of 'acentric equations' to the overall data. Our results have shown that different reciprocal-space residuals give results consistent with each other. We have therefore confirmed that these methods may be useful in the determination of I Arl in those cases where direct comparison of coordinates is impossible (e.g. medium-resolution studies).2. Our results confirm that Wilson's statistics may be applied successfully to both low-and high-angle protein diffraction data. Hence, the results of Parthasarathy & Parthasarathi (1972) may be used to calculate I Arl.3. We have found that the methods used gave consistent results for the region I sl > 0.21/~-]. R a was found to be the least-noisy function in this region.4. We have confirmed that the low-angle data is significantly affected by solvent scattering, which is also the cause of high background intensity.The authors are grateful to Dr J. C. Hanson for supplying the deoxyhaemoglobin diffraction data, and to Dr O. Kennard for the atomic coordinates of human deoxyhaemoglobin. We are also grateful to Drs G. G. ing the 09 phase. They have been concerned with intensity calculations from models for which the co regions are defective in a variety of senses. All of the models include only one m variant, while in fact the system must contain four equally likely variants. A method to correct the calculated intensity for interference effects among the variants, omitted from these models, is described. It is applied to a specimen model. Possible applications of the method are discussed.

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Study of theωphase in Zr-Nb alloys by Mössbauer and x-ray diffuse scattering

Cited by 98 publications

References 19 publications

Effect of magnetism on kinetics of γ–α transformation and pattern formation in iron

Effect of magnetism on kinetics of γ–α transformation and pattern formation in iron

Evidence of non-cubic lattice distortions around vacant sites in Co–Ga β' phases

Interference effects among variants

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