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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 1, Pages 91–104
DOI: https://doi.org/10.4213/tmf9374 (Mi tmf9374) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Debye–Waller factor in neutron scattering by ferromagnetic metals

G. V. Paradezhenkoa, N. B. Melnikova, B. I. Reserb

a Lomonosov Moscow State University, Moscow, Russia
b Mikheev Institute of Metal Physics, RAS, Ekaterinburg, Russia
Full-text PDF (588 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf9374
Abstract: We obtain an expression for the neutron scattering cross section in the case of an arbitrary interaction of the neutron with the crystal. We give a concise, simple derivation of the Debye–Waller factor as a function of the scattering vector and the temperature. For ferromagnetic metals above the Curie temperature, we estimate the Debye–Waller factor in the range of scattering vectors characteristic of polarized magnetic neutron scattering experiments. In the example of iron, we compare the results of harmonic and anharmonic approximations.
Keywords: neutron scattering, lattice vibration, Debye–Waller factor, spin–density correlation, ferromagnetic metal.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 01201463326
Ural Branch of the Russian Academy of Sciences 15-8-2-10
This research was performed within the state assignment of the Federal Agency for Scientific Organizations (theme "Electron" No. 01201463326) and was supported in part by a program of the Ural Branch of the Russian Academy of Sciences (Project No. 15-8-2-10).
Received: 24.03.2017
Revised: 22.04.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 1, Pages 572–583
DOI: https://doi.org/10.1134/S0040577918040098
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. V. Paradezhenko, N. B. Melnikov, B. I. Reser, “Debye–Waller factor in neutron scattering by ferromagnetic metals”, TMF, 195:1 (2018), 91–104; Theoret. and Math. Phys., 195:1 (2018), 572–583
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    1. A. Griesche, B. Pfretzschner, U. A. Taparli, N. Kardjilov, “Time-resolved neutron Bragg-edge imaging: a case study by observing martensitic phase formation in low temperature transformation (LTT) steel during GTAW”, Appl. Sci.-Basel, 11:22 (2021), 10886  crossref  isi
    2. N. B. Melnikov, G. V. Paradezhenko, B. I. Reser, “Magnetic short-range order in FE and ni above the curie temperature”, J. Magn. Magn. Mater., 473 (2019), 296–300  crossref  isi
    3. N. B. Melnikov, G. V. Paradezhenko, B. I. Reser, “Effect of phonons on the magnetic characteristics of metals at finite temperatures”, Theoret. and Math. Phys., 201:1 (2019), 1531–1540  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. N. B. Melnikov, G. V. Paradezhenko, B. I. Reser, “Effect of lattice vibrations on magnetic properties of metals at finite temperatures”, Vii Euro-Asian Symposium Trends in Magnetism, Journal of Physics Conference Series, 1389, eds. V. Ustinov, N. Mushnikov, IOP Publishing Ltd, 2019, 012099  crossref  isi
    5. Ho Khac Hieu, Pham Thi Minh Hanh, Phan Thi Thanh Hong, Vu Thi Thanh Ha, Nguyen Ba Duc, Doan Quoc Khoa, Nguyen Van Nghia, “Structural and thermomechanical properties of zincblende-type znx (X=S, se, te)”, J. Electron. Mater., 48:9 (2019), 5806–5812  crossref  isi
    6. Melnikov N.B. Reser B.I. Paradezhenko G.V., “Short-Range Order in Metals Above the Curie Temperature”, AIP Adv., 8:10 (2018), 101402  crossref  isi
    7. Nikolai B. Melnikov, Boris I. Reser, Dynamic Spin-Fluctuation Theory of Metallic Magnetism, 2018, 181  crossref
    8. Nikolai B. Melnikov, Boris I. Reser, Dynamic Spin-Fluctuation Theory of Metallic Magnetism, 2018, 171  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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