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Anisotropic Spin–Lattice and Spin–Spin Relaxations in Hydrogen Molecules Trapped in Non-Spherical Nanocavities

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Abstract

We report on 1H NMR measurements of spin–lattice and spin–spin relaxation times in hydrogen molecules confined in nanocavities of the a-Si–H thin films. We found that the 1H spin–spin relaxation time T2 and the spin–lattice relaxation times T1 and T1ρ in the laboratory and rotating frames, respectively, exhibit anisotropic behavior as functions of the angle between the film growth direction and the applied magnetic field. This effect is caused by the dipole–dipole interaction of nuclear spins of hydrogen molecules experiencing restricted diffusion in ellipsoid-like nanocavities. The experimental results are analyzed within the framework of the previously developed theory. The analysis allows determining the distribution of nanocavities over orientations in the film under study. Similar phenomena can occur in various materials containing nanocavities and in nanoporous compounds of various origins in which molecular diffusion occurs and to which the above approach is applicable.

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Data Availability Statement

All data generated or analyzed during this study are included in this article.

References

  1. F. Kail, J. Farjas, P. Roura, P. Roca i Cabarrocas, Molecular hydrogen diffusion in nanostructured amorphous silicon thin films. Phys. Rev. B 80, 073202 (2009)

    Article  ADS  Google Scholar 

  2. C. Jeong, S. Boo, M. Jeon, K. Kamisako, characterization of intrinsic a-si: h films prepared by inductively coupled plasma chemical vapor deposition for solar cell applications. J. Nanosci. Nanotechnol. 7, 4169–4173 (2007)

    Article  Google Scholar 

  3. J. Baugh, A. Kleinhammes, D. Han, Q. Wang, Y. Wu, Confinement effect on dipole-dipole interactions in nanofluids. Science 294, 1505–1507 (2001)

    Article  ADS  Google Scholar 

  4. G.B. Furman, S.D. Goren, V.M. Meerovich, V.L. Sokolovsky, Correlation of transverse relaxation time with structure of biological tissue. J. Magn. Reson. 270, 7–11 (2016)

    Article  ADS  Google Scholar 

  5. G. Furman, V. Meerovich, V. Sokolovsky, Y. Xia, Spin locking in liquid entrapped in nanocavities: application to study connective tissues. J. Magn. Reson. 299, 66–73 (2019)

    Article  ADS  Google Scholar 

  6. G. Furman, V. Meerovich, V. Sokolovsky, Y. Xia, Spin-lattice relaxation in liquid entrapped in a nanocavity. J. Magn. Reson. 311, 106669 (2020)

    Article  Google Scholar 

  7. D.L. Williamson, Nanostructure of a-Si: H and related materials by small-angle x-ray scattering. Mat. Res. Soc. Symp. Proc. 377, 251–262 (1995)

    Article  Google Scholar 

  8. X. Xu, J. Yang, S. Guha, Hydrogen dilution effects on a-Si: H and a-SiGe: H materials properties and solar cell performance. J. Non-Crystal. Solids 198–200, 60–64 (1996)

    Article  ADS  Google Scholar 

  9. A.H. Mahan, Y. Xu, W. Beyer, J.D. Perkins, M. Vanecek, L.M. Gedvilas, B.P. Nelson, Structural properties of hot wire a–Si: H films deposited at rates in excess of 100 Å/s. J. Appl. Phys. 90, 5038–5047 (2001)

    Article  ADS  Google Scholar 

  10. E. Gericke, J. Melskens, R. Wendt, M. Wollgarten, A. Hoell, K. Lips, Quantification of nanoscale density fluctuations in hydrogenated amorphous silicon. Phys. Rev. Lett. 125, 185501 (2020)

    Article  ADS  Google Scholar 

  11. M.S. Conradi, R.E. Norberg, Molecular H2: Nuclear-spin-relaxation centers for protons in a-Si:H. Phys. Rev. B 24, 2285–2288 (1981)

    Article  ADS  Google Scholar 

  12. W.E. Carlos, P.C. Taylor, Molecular hydrogen in a–Si:H. Phys. Rev. B 25, 1435–1438 (1982)

    Article  ADS  Google Scholar 

  13. J.B. Boyce, M. Stutzmann, Orientational ordering and melting of molecular H2 in an a–Si matrix: NMR studies. Phys. Rev. Leltt. 54, 562–565 (1985)

    Article  ADS  Google Scholar 

  14. E. Fukushima, S.B.W. Roeder, Experimental pulse NMR, in A nuts and bolts approach. (CRC Press, USA, 1981)

    Google Scholar 

  15. S. Meiboom, D. Gill, Modified spin-echo method for measuring nuclear relaxation times. Rev. Sci. Instrum. 29, 688–691 (1958)

    Article  ADS  Google Scholar 

  16. A. Abragam, The Principles of Nuclear Magnetism (Clarendon Press, Oxford, 1961)

    Google Scholar 

  17. A.M. Panich, I.A. Belitskii, N.K. Moroz, S.P. Gabuda, V.A. Drebushchak, Yu.V. Seretkin, Ion and molecular diffusion and order-disorder phase transition in the thallium form of natrolite. J. Struct. Chem. 31, 56–63 (1990)

    Article  Google Scholar 

  18. A.M. Panich, N.A. Sergeev, M. Paczwa, M. Olszewski, 1H NMR study of water molecules confined in nanochannels of mordenite. Solid State Nucl. Magn. Reson 76–77, 24–28 (2016)

    Article  Google Scholar 

  19. A.M. Panich, A.M. Danilenko, S.P. Gabuda, Orientational diffusion and structural mechanism of bromine fluoride (BrF3) intercalation into fluorographite. Akademiia Nauk SSSR, Doklady 281, 389–392 (1985)

    Google Scholar 

  20. A.M. Panich, Nuclear magnetic resonance study of fluorine-graphite intercalation compounds and graphite fluorides. Synth. Met. 100, 169–185 (1999)

    Article  Google Scholar 

  21. N. Wang, Y. Xia, Anisotropic analysis of multi-component T2 and T1r relaxations in Achilles tendon by NMR spectroscopy and microscopic MRI. J. Magn. Reson. Imag. 38, 625–633 (2013)

    Article  Google Scholar 

  22. L.V. Krasnosselskaia, G.D. Fullerton, S.J. Dodd, I.L. Cameron, Water in tendon: orientational analysis of the free induction decay. Magn. Reson. Med. 54, 280–288 (2005)

    Article  Google Scholar 

  23. H. Shao, C. Pauli, S. Li, Y. Ma, A.S. Tadros, A. Kavanaugh, E.Y. Chang, G. Tang, J. Du, Magic angle effect plays a major role in both T1rho and T2 relaxation in articular cartilage. Osteoarthritis Cartilage 25, 2022–2030 (2017)

    Article  Google Scholar 

  24. S. Peto, P. Gillis, Fiber-to-field angle dependence of proton nuclear magnetic relaxation in collagen. Magn. Reson. Imaging 8, 705–712 (1990)

    Article  Google Scholar 

  25. K.I. Momot, J.M. Pope, R.M. Wellard, Anisotropy of spin relaxation of water protons in cartilage and tendon. NMR Biomed. 23, 313–324 (2010)

    Article  Google Scholar 

  26. M. Thommes, C. Schlumberger, Characterization of nanoporous materials. Annu. Rev. Chem. Biomol. Eng. 12, 137–162 (2021)

    Article  Google Scholar 

  27. K. Ji, J. Choi, H. Yang, H. Lee, D. Kim, A study of crystallinity in amorphous Si thin films for silicon heterojunction solar cells. Solar Energy Mater., Solar Cells 95, 203–206 (2011)

    Article  Google Scholar 

  28. S.M. Aldoshin, E.B. Feldman, M.A. Yurishchev, Quantum entanglement in nitrosyl iron complexes. J. Exp. Theor. Phys. 107, 804–811 (2008)

    Article  ADS  Google Scholar 

  29. E.B. Fel’dman, A.N. Pyrkov, Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments. JETP Lett. 88, 398–401 (2008)

    Article  ADS  Google Scholar 

  30. E.B. Fel’dman, A.N. Pyrkov, A.I. Zenchuk, Solid-state multiple quantum NMR in quantum information processing: exactly solvable models. Philos. Trans. R. Soc. Lond. A 370, 4690 (2012)

    ADS  MathSciNet  MATH  Google Scholar 

  31. S. Tong, Y. Dong, Q. Zhang, D. Elsworth, S. Liu, Quantitative analysis of nanopore structural characteristics of lower paleozoic shale, Chongqing (Southwestern China): combining FIB-SEM and NMR cryoporometry. Energy Fuels 31, 13317–13328 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

We are grateful to Profs. J. Baugh and N.A. Sergeev for helpful discussion. This research was supported by a grant from the United States—Israel Binational Science Foundation (BSF), Jerusalem, Israel (No. 2019033), and in part by a R01 grant from the National Institutes of Health (NIH) of the United States (#69047).

Funding

This research was funded by a grant from the United States—Israel Binational Science Foundation (BSF), Jerusalem, Israel (No. 2019033), and by a grant from the National Institutes of Health in the United States (AR 069047).

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Authors and Affiliations

  1. Department of Physics, Ben-Gurion University of the Negev, P.O.Box 653, 8410501, Beer-Sheva, Israel

    Alexander M. Panich, Gregory B. Furman & Vladimir Sokolovsky

  2. Physics Department, Oakland University, Rochester, MI, USA

    Yang Xia

  3. LPICM, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, 91128, Palaiseau, France

    Pere Roca i Cabarrocas

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  1. Alexander M. Panich
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  2. Gregory B. Furman
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  3. Vladimir Sokolovsky
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  4. Yang Xia
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  5. Pere Roca i Cabarrocas
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Contributions

All the authors contributed to the concept and design of the study. AMP carried out experiments. GBF, VS, and YX made data processing, compiled a computer program, and took part in the calculations. PRiC grew the films and made their characterization. All the authors read and approved the final version of the manuscript.

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Correspondence to Alexander M. Panich.

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Panich, A.M., Furman, G.B., Sokolovsky, V. et al. Anisotropic Spin–Lattice and Spin–Spin Relaxations in Hydrogen Molecules Trapped in Non-Spherical Nanocavities. Appl Magn Reson 54, 371–381 (2023). https://doi.org/10.1007/s00723-022-01515-6

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