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Influence of diameter on high-pressure induced phase transitions in bismuth nanowire networks

Christopher Schröck*

Ioannis Tzifas, Kay-Obbe Voss, Michael F. P. Wagner, and Christina Trautmann

Lkhamsuren Bayarjargal, Dominik Spahr4, and Björn Winkler4

Maria Eugenia Toimil-Molares†

  • *Contact author: c.schroeck@gsi.de
  • †Contact author: m.e.toimilmolares@gsi.de

Phys. Rev. B 112, 014111 – Published 22 July, 2025

DOI: https://doi.org/10.1103/c4fw-p99m

Abstract

Size-dependent behavior of bismuth nanowire networks under high-pressure conditions was investigated at room temperature. Three-dimensional networks of freestanding interconnected bismuth nanowires with diameters between 34 and 85nm were synthesized by electrodeposition in ion-track etched membranes, along with microcrystals as bulk analogues. Both types of samples were simultaneously compressed in diamond anvil cells under hydrostatic conditions up to 19.5GPa. Synchrotron x-ray diffraction data reveal a shift of the Bi-I/-II, Bi-II/-III, and Bi-III/-V phase transition to higher-pressure values for decreasing nanowire diameter. In case of the thinnest wires, compression and decompression cycles revealed hysteresislike behavior of the shifts and a pronounced coexistence of the Bi-III and Bi-V phases upon compression. All samples exhibited bulklike compression behavior, as reflected in the evolution of their lattice parameter and bulk modulus. Only nanowires in the Bi-III phase showed a slightly reduced modulus compared to the corresponding bulk value. The systematic size dependence highlights the importance of excellent control on the geometrical parameters of the nanowires and consistent experimental conditions. The mechanical stability of the three-dimensional nanowire networks allowed the pressurization of samples of varying wire diameters under identical experimental conditions and facilitates systematic studies of size effects in nanomaterials with diameters as small as 10nm.

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References (51)

  1. E. Roduner, Size matters: Why nanomaterials are different, Chem. Soc. Rev. 35, 583 (2006).
  2. L. Meng, T. Vu, L. Criscenti, T. Ho, Y. Qin, and H. Fan, Theoretical and experimental advances in high-pressure behaviors of nanoparticles, Chem. Rev. 123, 10206 (2023).
  3. A. San-Miguel, Nanomaterials under high-pressure, Chem. Soc. Rev. 35, 876 (2006).
  4. D. Machon, V. Pischedda, S. Le Floch, and A. San-Miguel, Perspective: High pressure transformations in nanomaterials and opportunities in material design, J. Appl. Phys. 124, 160902 (2018).
  5. F. Bai, K. Bian, X. Huang, Z. Wang, and H. Fan, Pressure induced nanoparticle phase behavior, property, and applications, Chem. Rev. 119, 7673 (2019).
  6. S. Tolbert and A. Alivisatos, Size dependence of a first order solid-solid phase transition: The wurtzite to rock salt transformation in CdSe nanocrystals, Science 265, 373 (1994).
  7. S. Tolbert and A. Alivisatos, The wurtzite to rock salt structural transformation in CdSe nanocrystals under high pressure, J. Chem. Phys. 102, 4642 (1995).
  8. B. Liu, M. Yao, B. Liu, Z. Li, R. Liu, Q. Li, D. Li, B. Zou, T. Cui, G. Zou et al., High-pressure studies on CeO2 nano-octahedrons with a (111)-terminated surface, J. Phys. Chem. C 115, 4546 (2011).
  9. L. Bayarjargal, L. Wiehl, and B. Winkler, Influence of grain size, surface energy, and deviatoric stress on the pressure-induced phase transition of ZnO and AlN, High Press. Res. 33, 642 (2013).
  10. J. Olsen, L. Gerward, and J. Jiang, High-pressure behavior of nano titanium dioxide, High Press. Res. 22, 385 (2002).
  11. V. Swamy, A. Kuznetsov, L. S. Dubrovinsky, R. A. Caruso, D. G. Shchukin, and B. C. Muddle, Finite-size and pressure effects on the Raman spectrum of nanocrystalline anatase TiO2, Phys. Rev. B 71, 184302 (2005).
  12. V. Swamy, A. Kuznetsov, L. S. Dubrovinsky, P. F. McMillan, V. B. Prakapenka, G. Shen, and B. C. Muddle, Size-dependent pressure-induced amorphization in nanoscale TiO2, Phys. Rev. Lett. 96, 135702 (2006).
  13. L. Huston, A. Lugstein, G. Shen, D. Cullen, B. Haberl, J. Williams, and J. Bradby, Synthesis of novel phases in Si nanowires using diamond anvil cells at high pressures and temperatures, Nano Lett. 21, 1427 (2021).
  14. S. Tolbert, A. Herhold, L. Brus, and A. Alivisatos, Pressure-induced structural transformations in Si nanocrystals: Surface and shape effects, Phys. Rev. Lett. 76, 4384 (1996).
  15. Y. Wang, J. Zhang, J. Wu, J. Coffer, Z. Lin, S. Sinogeikin, W. Yang, and Y. Zhao, Phase transition and compressibility in silicon nanowires, Nano Lett. 8, 2891 (2008).
  16. H. Poswal, N. Garg, S. Sharma, E. Busetto, S. Sikka, G. Gundiah, F. Deepak, and C. Rao, Pressure-induced structural phase transformations in silicon nanowires, J. Nanosci. Nanotechnol. 5, 729 (2005).
  17. L. Huston, A. Lugstein, J. Williams, and J. Bradby, The high pressure phase transformation behavior of silicon nanowires, Appl. Phys. Lett. 113, 123103 (2018).
  18. S. Klotz, J. Chervin, P. Munsch, and G. Le Marchand, Hydrostatic limits of 11 pressure transmitting media, J. Phys. D 42, 075413 (2009).
  19. Z. Dong and Y. Song, Size- and morphology-dependent structural transformations in anatase TiO2 nanowires under high pressures, Can. J. Chem. 93, 165 (2015).
  20. O. Degtyareva, M. McMahon, and R. Nelmes, High-pressure structural studies of group-15 elements, High Press. Res. 24, 319 (2004).
  21. D. J. Campbell, D. T. Sneed, E. F. O'Bannon, III, P. Söderlind, and Z. Jenei, Refined room-temperature equation of state of Bi up to 260 GPa, Phys. Rev. B 107, 224104 (2023).
  22. S. Ono, High-pressure phase transition of bismuth, High Press. Res. 38, 414 (2018).
  23. M. I. McMahon, O. Degtyareva, and R. J. Nelmes, Ba-IV-type incommensurate crystal structure in group-V metals, Phys. Rev. Lett. 85, 4896 (2000).
  24. M. I. McMahon, O. Degtyareva, R. J. Nelmes, S. van Smaalen, and L. Palatinus, Incommensurate modulations of Bi-III and Sb-II, Phys. Rev. B 75, 184114 (2007).
  25. R. Brugger, R. Bennion, and T. Worlton, The crystal structure of bismuth-II at 26 kbar, Phys. Lett. A 24, 714 (1967).
  26. H. Iwasaki, J. Chen, and T. Kikegawa, Structural study of the high-pressure phases of bismuth using high-energy synchrotron radiation, Rev. Sci. Instrum. 66, 1388 (1995).
  27. U. Häussermann, K. Söderberg, and R. Norrestam, Comparative study of the high-pressure behavior of As, Sb, and Bi, J. Am. Chem. Soc. 124, 15359 (2002).
  28. R. Husband, E. O'Bannon, H.-P. Liermann, M. Lipp, A. Méndez, Z. Konôpková, E. McBride, W. Evans, and Z. Jenei, Compression-rate dependence of pressure-induced phase transitions in Bi, Sci. Rep. 11, 14859 (2021).
  29. W. Chaimayo, Synthesis and high-pressure structural studies of bismuth nanoparticles, Ph.D. dissertation, The University of Edinburgh, 2013.
  30. M. F. P. Wagner, A. S. Paulus, J. Brötz, W. Sigle, C. Trautmann, K.-O. Voss, F. Völklein, and M. E. Toimil-Molares, Effects of size reduction on the electrical transport properties of 3D Bi nanowire networks, Adv. Electron. Mater. 7, 2001069 (2021).
  31. M. Rauber, I. Alber, S. Müller, R. Neumann, O. Picht, C. Roth, A. Schökel, M. E. Toimil-Molares, and W. Ensinger, Highly-ordered supportless three-dimensional nanowire networks with tunable complexity and interwire connectivity for device integration, Nano Lett. 11, 2304 (2011).
  32. L. Movsesyan, A. W. Maijenburg, N. Goethals, W. Sigle, A. Spende, F. Yang, B. Kaiser, W. Jaegermann, S.-Y. Park, G. Mul, C. Trautmann, and M. E. Toimil-Molares, ZnO nanowire networks as photoanode model systems for photoelectrochemical applications, Nanomaterials 8, 693 (2018).
  33. M. Toimil-Molares, Characterization and properties of micro-and nanowires of controlled size, composition, and geometry fabricated by electrodeposition and ion-track technology, Beilstein J. Nanotechnol. 3, 860 (2012).
  34. M. Wagner, K.-O. Voss, C. Trautmann, and M. Toimil-Molares, Three-dimensional nanowire networks fabricated by ion track nanotechnology and their applications, EPJ Techniq. Instrum. 10, 2 (2023).
  35. T. W. Cornelius, J. Brötz, N. Chtanko, D. Dobrev, G. Miehe, R. Neumann, and M. E. T. Molares, Controlled fabrication of poly- and single-crystalline bismuth nanowires, Nanotechnology 16, S246 (2005).
  36. M. Cassinelli, S. Müller, Z. Aabdin, N. Peranio, O. Eibl, C. Trautmann, and M. Toimil-Molares, Structural and compositional characterization of Bi1−xSbx nanowire arrays grown by pulsed deposition to improve growth uniformity, Nucl. Instrum. Methods Phys. Res. Sect. B 365, 668 (2015).
  37. R. Boehler, New diamond cell for single-crystal x-ray diffraction, Rev. Sci. Instrum. 77, 115103 (2006).
  38. H.-P. Liermann, Z. Konôpková, W. Morgenroth, K. Glazyrin, J. Bednarčik, E. McBride, S. Petitgirard, J. Delitz, M. Wendt, Y. Bican, A. Ehnes, I. Schwark, A. Rothkirch, M. Tischer, J. Heuer, H. Schulte-Schrepping, T. Kracht, and H. Franz, The extreme conditions beamline P02.2 and the extreme conditions science infrastructure at PETRA-III, J. Synchrotron Radiat. 22, 908 (2015).
  39. C. Prescher and V. Prakapenka, Dioptas: A program for reduction of two-dimensional x-ray diffraction data and data exploration, High Press. Res. 35, 223 (2015).
  40. B. Toby and R. Von Dreele, GSAS-II: The genesis of a modern open-source all purpose crystallography software package, J. Appl. Crystallogr. 46, 544 (2013).
  41. A. Dewaele, F. Datchi, P. Loubeyre, and M. Mezouar, High pressure–high temperature equations of state of neon and diamond, Phys. Rev. B 77, 094106 (2008).
  42. A. Dewaele, A. Rosa, N. Guignot, D. Andrault, J. Rodrigues, and G. Garbarino, Stability and equation of state of face-centered cubic and hexagonal close packed phases of argon under pressure, Sci. Rep. 11, 15192 (2021).
  43. R. Angel, M. Alvaro, and J. Gonzalez-Platas, EosFit7c and a Fortran module (library) for equation of state calculations, Z. Crystal. Mater. 229, 405 (2014).
  44. F. Birch, Finite elastic strain of cubic crystals, Phys. Rev. 71, 809 (1947).
  45. R. Jeanloz, Universal equation of state, Phys. Rev. B 38, 805 (1988).
  46. T. Katsura and Y. Tange, A simple derivation of the Birch-Murnaghan equations of state (EOSs) and comparison with EOSs derived from other definitions of finite strain, Minerals 9, 745 (2019).
  47. J. Gonzalez-Platas, M. Alvaro, F. Nestola, and R. Angel, EosFit7-GUI: A new graphical user interface for equation of state calculations, analyses and teaching, J. Appl. Crystallogr. 49, 1377 (2016).
  48. S. Li, Z. Wen, and Q. Jiang, Pressure-induced phase transition of CdSe and ZnO nanocrystals, Scr. Mater. 59, 526 (2008).
  49. Y. Akahama, H. Kawamura, and A. Singh, Equation of state of bismuth to 222 GPa and comparison of gold and platinum pressure scales to 145 GPa, J. Appl. Phys. 92, 5892 (2002).
  50. L. Liu, H. Song, H. Geng, Y. Bi, J. Xu, X. Li, Y. Li, and J. Liu, Compressive behaviors of bcc bismuth up to 55 GPa, Phys. Stat. Sol. (B) 250, 1398 (2013).
  51. See Supplemental Material at http://link.aps.org/supplemental/10.1103/c4fw-p99m for a comparison of the elastic properties based on various fitting approaches.

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