Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns

Direct method formalism to determine atomic structures using the electron diffraction data is here aimed at a general solution of the phase retrieval problem, consequently combining the electron diffraction (ED) and the high-resolution transmission electron microscopy (HRTEM) patterns in a "dom...

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Published in:Semiconductor Physics Quantum Electronics & Optoelectronics
Date:2003
Main Authors: Chukhovskii, F.N., Poliakov, A.M., Prokopenko, I.V.
Format: Article
Language:English
Published: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2003
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/118051
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns / F.N. Chukhovskii, A.M. Poliakov, I.V. Prokopenko // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2003. — Т. 6, № 3. — С. 397-403. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Chukhovskii, F.N.
Poliakov, A.M.
Prokopenko, I.V.
author_facet Chukhovskii, F.N.
Poliakov, A.M.
Prokopenko, I.V.
citation_txt Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns / F.N. Chukhovskii, A.M. Poliakov, I.V. Prokopenko // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2003. — Т. 6, № 3. — С. 397-403. — Бібліогр.: 27 назв. — англ.
collection DSpace DC
container_title Semiconductor Physics Quantum Electronics & Optoelectronics
description Direct method formalism to determine atomic structures using the electron diffraction data is here aimed at a general solution of the phase retrieval problem, consequently combining the electron diffraction (ED) and the high-resolution transmission electron microscopy (HRTEM) patterns in a "domino" fashion. While there are similarities to what there is in conventional (kinematical) direct methods, there remain major differences, in particular, owing to the dynamical effects in the data the ED structure factors prove to be complex and then, the positivity of the reconstructed electron density is no longer a valid constraint for 'dynamical' direct methods. Besides, due to the dynamical effects heavy atoms need not dominantly contribute the HRTEM images any more. Thus, the 'dynamical' direct methods concept has to base upon it that the phase retrieval algorithm will utilize both the dynamical ED and HRTEM data. Noteworthy is the fact that the fusion of the traditional direct method technique, which is described here, allows to realize a full phase restoration of complex structure factors. The numerical example, using the dynamical ED and HRTEM data for (Ga,In)₂SnO₅5 ceramic, shows that the method is capable of yielding unique phase retrieval solution. The clear sense is that the domino transform algorithm proposed works well and represents a valuable method for phasing diffraction patterns in electron structural crystallography using an experiment, which is readily to perform within collecting the ED and HRTEM data.
first_indexed 2025-12-07T13:24:29Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T13:24:29Z
publishDate 2003
publisher Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
record_format dspace
spelling Chukhovskii, F.N.
Poliakov, A.M.
Prokopenko, I.V.
2017-05-28T14:36:06Z
2017-05-28T14:36:06Z
2003
Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns / F.N. Chukhovskii, A.M. Poliakov, I.V. Prokopenko // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2003. — Т. 6, № 3. — С. 397-403. — Бібліогр.: 27 назв. — англ.
1560-8034
PACS: 61.14.-x, 68.37.Ef, 68.37.Vj
https://nasplib.isofts.kiev.ua/handle/123456789/118051
Direct method formalism to determine atomic structures using the electron diffraction data is here aimed at a general solution of the phase retrieval problem, consequently combining the electron diffraction (ED) and the high-resolution transmission electron microscopy (HRTEM) patterns in a "domino" fashion. While there are similarities to what there is in conventional (kinematical) direct methods, there remain major differences, in particular, owing to the dynamical effects in the data the ED structure factors prove to be complex and then, the positivity of the reconstructed electron density is no longer a valid constraint for 'dynamical' direct methods. Besides, due to the dynamical effects heavy atoms need not dominantly contribute the HRTEM images any more. Thus, the 'dynamical' direct methods concept has to base upon it that the phase retrieval algorithm will utilize both the dynamical ED and HRTEM data. Noteworthy is the fact that the fusion of the traditional direct method technique, which is described here, allows to realize a full phase restoration of complex structure factors. The numerical example, using the dynamical ED and HRTEM data for (Ga,In)₂SnO₅5 ceramic, shows that the method is capable of yielding unique phase retrieval solution. The clear sense is that the domino transform algorithm proposed works well and represents a valuable method for phasing diffraction patterns in electron structural crystallography using an experiment, which is readily to perform within collecting the ED and HRTEM data.
en
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
Semiconductor Physics Quantum Electronics & Optoelectronics
Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
Article
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spellingShingle Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
Chukhovskii, F.N.
Poliakov, A.M.
Prokopenko, I.V.
title Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
title_full Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
title_fullStr Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
title_full_unstemmed Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
title_short Domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
title_sort domino phase retrieval algorithm for structure determination using electron diffraction and high resolution transmission electron microscopy patterns
url https://nasplib.isofts.kiev.ua/handle/123456789/118051
work_keys_str_mv AT chukhovskiifn dominophaseretrievalalgorithmforstructuredeterminationusingelectrondiffractionandhighresolutiontransmissionelectronmicroscopypatterns
AT poliakovam dominophaseretrievalalgorithmforstructuredeterminationusingelectrondiffractionandhighresolutiontransmissionelectronmicroscopypatterns
AT prokopenkoiv dominophaseretrievalalgorithmforstructuredeterminationusingelectrondiffractionandhighresolutiontransmissionelectronmicroscopypatterns