Long-Range Order in the Dislocation Structure of Martensite Crystals

Faina Fedorovna Satdarova

doi:doi:10.11648/j.am.20200902.12

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Long-Range Order in the Dislocation Structure of Martensite Crystals

Faina Fedorovna Satdarova

Published in Advances in Materials (Volume 9, Issue 2)

Received: 16 May 2020 Accepted: 1 June 2020 Published: 17 June 2020

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Abstract

Optimal estimation of the diffraction observations over the object reliably detects periodicity in the dislocation structure of martensitic transformation as an exhibition of its wave nature. The period along normal to the slip planes is comparable with the radius of dislocation loops in crystals. The measured degree of one-dimensional long-range order in the arrangement of the loops is close to the upper limit equal to unity. Subject to the theory of metals, the observed structure could be generated by quantum lattice vibrations, which actuate a jump-like phase transition. A simple explanation exists: after a sharp fall in temperature, the excess energy of conduction electrons causes the crystal to expand instantly with the transformation of translational symmetry. Internal shifts of the crystal lattice caused by electron-phonon interactions concurrently trigger the wave process of formation of thin martensitic plates in the surrounding matrix, which are observed in metallography. Based on an in-depth analysis of the dislocation structure of martensite crystals, a physically founded concept is advanced in which the martensitic transformation is a macroscopic quantum phenomenon connected with the symmetry properties of a crystal system in metals.

Published in	Advances in Materials (Volume 9, Issue 2)
DOI	10.11648/j.am.20200902.12
Page(s)	28-34
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

System of Dislocation Loops, Ordering by Parallel Slip Planes, Relaxation Vibrations of Crystal Lattice, Quantum Nature of Martensitic Transformation

References

[1]	Faina F. Satdarova, Diffraction Analysis of Deformed Metals: Theory, Methods, Programs, Academus Publishing, Inc., California: Campbell, 2020, in press.
[2]	Satdarova F. F. (2016), Dislocation structure of martensitic transformation in carbon steel. Phys. Met. Metallography 117, 355–363.
[3]	G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. McGraw-Hill, New York, 1968; Nauka, Moscow, 1974.
[4]	L. Yanossy, Theory and Practice of the Evaluation of Measurements, Oxford Univ., 1965; Mir, Moscow, 1968.
[5]	L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, 3rd ed., Nauka, Moscow, 1976; Pergamon, Oxford, 1980.
[6]	Y. Bard, Nonlinear Parameter Estimation, Academic Press, New York, 1974; Statistika, Moscow, 1979.
[7]	L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity, 3rd ed., Nauka, Moscow, 1965; Pergamon, Oxford, 1980.
[8]	L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 10: Physical Kinetics, Nauka, Moscow, 1979; Pergamon, Oxford, 1981.
[9]	C. Teodosiu, Elastic Models of Crystal Defects, Springer-Verlag, Berlin, Heidelberg, New York, 1982; Mir, Moscow, 1985.
[10]	J. P. Elliott and P. G. Dawber, Symmetry in Physics, Vol. 1 and 2, Macmillan Press, London, 1979; Mir, Moscow, 1983.
[11]	Reich K. V., Eidelman E. D. (2011), Electron-phonon interaction in a local region. Physics of the Solid State 53, 1704–1706.
[12]	J. M. Ziman, Principles of the Theory of Solids, Cambridge Univ., 1964; Mir, Moscow, 1966.
[13]	Schastlivtsev V. M., Kaletina Yu. V, Fokina E. A. and Mirzaev D. A. (2016), Nature of the effect of magnetic fields on the starting temperature of martensitic transformation in iron alloys. Physics of the Solid State 58, 336–345.

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Faina Fedorovna Satdarova. (2020). Long-Range Order in the Dislocation Structure of Martensite Crystals. Advances in Materials, 9(2), 28-34. https://doi.org/10.11648/j.am.20200902.12

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Faina Fedorovna Satdarova. Long-Range Order in the Dislocation Structure of Martensite Crystals. Adv. Mater. 2020, 9(2), 28-34. doi: 10.11648/j.am.20200902.12

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Faina Fedorovna Satdarova. Long-Range Order in the Dislocation Structure of Martensite Crystals. Adv Mater. 2020;9(2):28-34. doi: 10.11648/j.am.20200902.12

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@article{10.11648/j.am.20200902.12,
  author = {Faina Fedorovna Satdarova},
  title = {Long-Range Order in the Dislocation Structure of Martensite Crystals},
  journal = {Advances in Materials},
  volume = {9},
  number = {2},
  pages = {28-34},
  doi = {10.11648/j.am.20200902.12},
  url = {https://doi.org/10.11648/j.am.20200902.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.am.20200902.12},
  abstract = {Optimal estimation of the diffraction observations over the object reliably detects periodicity in the dislocation structure of martensitic transformation as an exhibition of its wave nature. The period along normal to the slip planes is comparable with the radius of dislocation loops in crystals. The measured degree of one-dimensional long-range order in the arrangement of the loops is close to the upper limit equal to unity. Subject to the theory of metals, the observed structure could be generated by quantum lattice vibrations, which actuate a jump-like phase transition. A simple explanation exists: after a sharp fall in temperature, the excess energy of conduction electrons causes the crystal to expand instantly with the transformation of translational symmetry. Internal shifts of the crystal lattice caused by electron-phonon interactions concurrently trigger the wave process of formation of thin martensitic plates in the surrounding matrix, which are observed in metallography. Based on an in-depth analysis of the dislocation structure of martensite crystals, a physically founded concept is advanced in which the martensitic transformation is a macroscopic quantum phenomenon connected with the symmetry properties of a crystal system in metals.},
 year = {2020}
}

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TY  - JOUR
T1  - Long-Range Order in the Dislocation Structure of Martensite Crystals
AU  - Faina Fedorovna Satdarova
Y1  - 2020/06/17
PY  - 2020
N1  - https://doi.org/10.11648/j.am.20200902.12
DO  - 10.11648/j.am.20200902.12
T2  - Advances in Materials
JF  - Advances in Materials
JO  - Advances in Materials
SP  - 28
EP  - 34
PB  - Science Publishing Group
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UR  - https://doi.org/10.11648/j.am.20200902.12
AB  - Optimal estimation of the diffraction observations over the object reliably detects periodicity in the dislocation structure of martensitic transformation as an exhibition of its wave nature. The period along normal to the slip planes is comparable with the radius of dislocation loops in crystals. The measured degree of one-dimensional long-range order in the arrangement of the loops is close to the upper limit equal to unity. Subject to the theory of metals, the observed structure could be generated by quantum lattice vibrations, which actuate a jump-like phase transition. A simple explanation exists: after a sharp fall in temperature, the excess energy of conduction electrons causes the crystal to expand instantly with the transformation of translational symmetry. Internal shifts of the crystal lattice caused by electron-phonon interactions concurrently trigger the wave process of formation of thin martensitic plates in the surrounding matrix, which are observed in metallography. Based on an in-depth analysis of the dislocation structure of martensite crystals, a physically founded concept is advanced in which the martensitic transformation is a macroscopic quantum phenomenon connected with the symmetry properties of a crystal system in metals.
VL  - 9
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Author Information

Faina Fedorovna Satdarova

Physical Metallurgy and the Physics of Strength Department, National University of Science and Technology, “MISIS”, Moscow, Russia

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APA Style

Faina Fedorovna Satdarova. (2020). Long-Range Order in the Dislocation Structure of Martensite Crystals. Advances in Materials, 9(2), 28-34. https://doi.org/10.11648/j.am.20200902.12

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ACS Style

Faina Fedorovna Satdarova. Long-Range Order in the Dislocation Structure of Martensite Crystals. Adv. Mater. 2020, 9(2), 28-34. doi: 10.11648/j.am.20200902.12

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AMA Style

Faina Fedorovna Satdarova. Long-Range Order in the Dislocation Structure of Martensite Crystals. Adv Mater. 2020;9(2):28-34. doi: 10.11648/j.am.20200902.12

Copy | Download

@article{10.11648/j.am.20200902.12,
  author = {Faina Fedorovna Satdarova},
  title = {Long-Range Order in the Dislocation Structure of Martensite Crystals},
  journal = {Advances in Materials},
  volume = {9},
  number = {2},
  pages = {28-34},
  doi = {10.11648/j.am.20200902.12},
  url = {https://doi.org/10.11648/j.am.20200902.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.am.20200902.12},
  abstract = {Optimal estimation of the diffraction observations over the object reliably detects periodicity in the dislocation structure of martensitic transformation as an exhibition of its wave nature. The period along normal to the slip planes is comparable with the radius of dislocation loops in crystals. The measured degree of one-dimensional long-range order in the arrangement of the loops is close to the upper limit equal to unity. Subject to the theory of metals, the observed structure could be generated by quantum lattice vibrations, which actuate a jump-like phase transition. A simple explanation exists: after a sharp fall in temperature, the excess energy of conduction electrons causes the crystal to expand instantly with the transformation of translational symmetry. Internal shifts of the crystal lattice caused by electron-phonon interactions concurrently trigger the wave process of formation of thin martensitic plates in the surrounding matrix, which are observed in metallography. Based on an in-depth analysis of the dislocation structure of martensite crystals, a physically founded concept is advanced in which the martensitic transformation is a macroscopic quantum phenomenon connected with the symmetry properties of a crystal system in metals.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Long-Range Order in the Dislocation Structure of Martensite Crystals
AU  - Faina Fedorovna Satdarova
Y1  - 2020/06/17
PY  - 2020
N1  - https://doi.org/10.11648/j.am.20200902.12
DO  - 10.11648/j.am.20200902.12
T2  - Advances in Materials
JF  - Advances in Materials
JO  - Advances in Materials
SP  - 28
EP  - 34
PB  - Science Publishing Group
SN  - 2327-252X
UR  - https://doi.org/10.11648/j.am.20200902.12
AB  - Optimal estimation of the diffraction observations over the object reliably detects periodicity in the dislocation structure of martensitic transformation as an exhibition of its wave nature. The period along normal to the slip planes is comparable with the radius of dislocation loops in crystals. The measured degree of one-dimensional long-range order in the arrangement of the loops is close to the upper limit equal to unity. Subject to the theory of metals, the observed structure could be generated by quantum lattice vibrations, which actuate a jump-like phase transition. A simple explanation exists: after a sharp fall in temperature, the excess energy of conduction electrons causes the crystal to expand instantly with the transformation of translational symmetry. Internal shifts of the crystal lattice caused by electron-phonon interactions concurrently trigger the wave process of formation of thin martensitic plates in the surrounding matrix, which are observed in metallography. Based on an in-depth analysis of the dislocation structure of martensite crystals, a physically founded concept is advanced in which the martensitic transformation is a macroscopic quantum phenomenon connected with the symmetry properties of a crystal system in metals.
VL  - 9
IS  - 2
ER  -

Copy | Download