{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T23:19:55Z","timestamp":1781738395317,"version":"3.54.5"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2024,11,15]],"date-time":"2024-11-15T00:00:00Z","timestamp":1731628800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,11,15]],"date-time":"2024-11-15T00:00:00Z","timestamp":1731628800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100004281","name":"Narodowe Centrum Nauki","doi-asserted-by":"publisher","award":["2020\/39\/O\/ST5\/00897"],"award-info":[{"award-number":["2020\/39\/O\/ST5\/00897"]}],"id":[{"id":"10.13039\/501100004281","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100014434","name":"Narodowa Agencja Wymiany Akademickiej","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100014434","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl. Phys. A"],"published-print":{"date-parts":[[2024,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Several bismuth sesquioxide (Bi<jats:inline-formula><jats:alternatives><jats:tex-math>$$_{2}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mmultiscripts>\n                    <mml:mrow\/>\n                    <mml:mn>2<\/mml:mn>\n                    <mml:mrow\/>\n                  <\/mml:mmultiscripts>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>O<jats:inline-formula><jats:alternatives><jats:tex-math>$$_{3}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mmultiscripts>\n                    <mml:mrow\/>\n                    <mml:mn>3<\/mml:mn>\n                    <mml:mrow\/>\n                  <\/mml:mmultiscripts>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>) phases (namely <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\upbeta$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b2<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\upgamma$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b3<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\updelta$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b4<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-like) were previously stabilized at room temperature by nanocrystallization of bismuthate glasses. Normally, a monoclinic <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\upalpha$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b1<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> phase is the stable one at ambient conditions in polycrystalline materials. In this work, we wanted to observe if any phase transitions would occur below the room temperature for <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\upbeta$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b2<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\upgamma$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b3<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\updelta$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b4<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-like phases confined in a residual glassy matrix. Observations were made down to 100 K using X-ray diffractometry (XRD) and differential scanning calorimetry (DSC). Both experimental techniques showed no traces of phase transition upon cooling to the temperature limit of our equipment. From XRD studies, the lattice parameter of the \u03b4-like phase was determined. The values were compared to the values calculated by molecular dynamics studies of overcooled <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\updelta$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b4<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-Bi<jats:inline-formula><jats:alternatives><jats:tex-math>$$_{2}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mmultiscripts>\n                    <mml:mrow\/>\n                    <mml:mn>2<\/mml:mn>\n                    <mml:mrow\/>\n                  <\/mml:mmultiscripts>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>O<jats:inline-formula><jats:alternatives><jats:tex-math>$$_{3}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mmultiscripts>\n                    <mml:mrow\/>\n                    <mml:mn>3<\/mml:mn>\n                    <mml:mrow\/>\n                  <\/mml:mmultiscripts>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> phase.<\/jats:p>","DOI":"10.1007\/s00339-024-07991-w","type":"journal-article","created":{"date-parts":[[2024,11,15]],"date-time":"2024-11-15T13:09:59Z","timestamp":1731676199000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Structure stability of confined bismuth sesquioxide phases\u00a0\u2013 low-temperature experimental and computational studies"],"prefix":"10.1007","volume":"130","author":[{"given":"Maciej","family":"Nowagiel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jerzy E.","family":"Garbarczyk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marek","family":"Wasiucionek","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pawel","family":"Keblinski","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2460-6192","authenticated-orcid":false,"given":"Tomasz K.","family":"Pietrzak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,11,15]]},"reference":[{"key":"7991_CR1","unstructured":"M. Thompson, Synthesis and characterisation of d-$$\\rm Bi_2O_3$$ related materials stabilised by substitutions of Ca, Ga, Nb and Re. PhD thesis, University of Birmingham (2010)"},{"issue":"50","key":"7991_CR2","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/22\/50\/505401","volume":"22","author":"L Wiehl","year":"2010","unstructured":"L. Wiehl, A. Friedrich, E. Hauss\u00fchl, W. Morgenroth, A. Grzechnik, K. Friese, B. Winkler, K. Refson, V. Milman, Structural compression and vibrational properties of $$\\rm Bi_{12}SiO_{20}$$ sillenite from experiment and theory. J. Phys.: Condens. Matter 22(50), 505401 (2010). https:\/\/doi.org\/10.1088\/0953-8984\/22\/50\/505401","journal-title":"J. Phys.: Condens. Matter"},{"issue":"14","key":"7991_CR3","doi-asserted-by":"publisher","first-page":"8540","DOI":"10.1021\/acs.inorgchem.8b01249","volume":"57","author":"M Weber","year":"2018","unstructured":"M. Weber, R.D. Rodriguez, D.R.T. Zahn, M. Mehring, $${\\rm Bi}_{2}{\\rm O}_3$$- To be or not to be? Comparison of the sillenite$${\\rm Bi}_{2}{\\rm O}_{3}$$ and isomorphous sillenite-type $${\\rm Bi}_{12}{\\rm SiO}_{20}$$. Inorg. Chem. 57(14), 8540\u20138549 (2018). https:\/\/doi.org\/10.1021\/acs.inorgchem.8b01249. (PMID: 29949355)","journal-title":"Inorg. Chem."},{"issue":"1","key":"7991_CR4","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/0040-6031(79)87011-2","volume":"28","author":"HA Harwig","year":"1979","unstructured":"H.A. Harwig, A.G. Gerards, The polymorphism of bismuth sesquioxide. Thermochim. Acta 28(1), 121\u2013131 (1979). https:\/\/doi.org\/10.1016\/0040-6031(79)87011-2","journal-title":"Thermochim. Acta"},{"key":"7991_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/bf02667306","author":"D Risold","year":"1995","unstructured":"D. Risold, B. Hallstedt, L.J. Gauckler, H.L. Lukas, S.G. Fries, The bismuth-oxygen system. J. Phase Equilib. (1995). https:\/\/doi.org\/10.1007\/bf02667306","journal-title":"J. Phase Equilib."},{"key":"7991_CR6","doi-asserted-by":"publisher","first-page":"8737","DOI":"10.1039\/b910484b","volume":"40","author":"S Hull","year":"2009","unstructured":"S. Hull, S.T. Norberg, M.G. Tucker, S.G. Eriksson, C.E. Mohn, S. St\u00f8len, Neutron total scattering study of the $$\\delta$$ and $$\\beta$$ phases of Bi$$_2$$O$$_3$$. Dalton Trans. 40, 8737 (2009). https:\/\/doi.org\/10.1039\/b910484b","journal-title":"Dalton Trans."},{"issue":"2","key":"7991_CR7","doi-asserted-by":"publisher","first-page":"189","DOI":"10.6028\/jres.068a.019","volume":"68","author":"EM Levin","year":"1964","unstructured":"E.M. Levin, R.S. Roth, Polymorphism of bismuth sesquioxide i pure Bi$$_2$$O$$_3$$. J. Res. Nat. Bur. Stand. Sect. A: Phys. Chem. 68(2), 189 (1964). https:\/\/doi.org\/10.6028\/jres.068a.019","journal-title":"J. Res. Nat. Bur. Stand. Sect. A: Phys. Chem."},{"issue":"9\u201310","key":"7991_CR8","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1016\/j.ssc.2008.06.023","volume":"147","author":"F Schr\u00f6der","year":"2008","unstructured":"F. Schr\u00f6der, N. Bagdassarov, Phase transitions and electrical properties of Bi$$_2$$O$$_3$$ up to 2.5 GPa. Solid State Commun. 147(9\u201310), 374\u2013376 (2008). https:\/\/doi.org\/10.1016\/j.ssc.2008.06.023","journal-title":"Solid State Commun."},{"issue":"1","key":"7991_CR9","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1021\/cr050977s","volume":"107","author":"M Drache","year":"2007","unstructured":"M. Drache, P. Roussel, J.-P. Wignacourt, Structures and oxide mobility in bi-ln-o materials: Heritage of Bi$$_2$$O$$_3$$. Chem. Rev. 107(1), 80\u201396 (2007). https:\/\/doi.org\/10.1021\/cr050977s","journal-title":"Chem. Rev."},{"key":"7991_CR10","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.82.024106","author":"S Ghedia","year":"2010","unstructured":"S. Ghedia, T. Locherer, R. Dinnebier, D.L.V.K. Prasad, U. Wedig, M. Jansen, A. Senyshyn, High-pressure and high-temperature multianvil synthesis of metastable polymorphs of Bi$$_2$$O$$_3$$: crystal structure and electronic properties. Phys. Rev. B (2010). https:\/\/doi.org\/10.1103\/physrevb.82.024106","journal-title":"Phys. Rev. B"},{"key":"7991_CR11","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/712\/1\/012132","volume":"712","author":"Y Zhu","year":"2016","unstructured":"Y. Zhu, P. An, M. Yu, A. Marcelli, Y. Liu, T. Hu, W. Xu, Structural phase transitions in ionic conductor Bi$$_2$$O$$_3$$ by temperature dependent XPD and XAS. J. Phys: Conf. Ser. 712, 012132 (2016). https:\/\/doi.org\/10.1088\/1742-6596\/712\/1\/012132","journal-title":"J. Phys: Conf. Ser."},{"key":"7991_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.102.155502","author":"CE Mohn","year":"2009","unstructured":"C.E. Mohn, S. St\u00f8len, S.T. Norberg, S. Hull, Oxide-ion disorder within the high temperature $$\\delta$$ phase of Bi$$_2$$O$$_3$$. Phys. Rev. Lett. (2009). https:\/\/doi.org\/10.1103\/physrevlett.102.155502","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"7991_CR13","doi-asserted-by":"publisher","first-page":"1281","DOI":"10.1016\/s0955-2219(03)00509-0","volume":"24","author":"ED Wachsman","year":"2004","unstructured":"E.D. Wachsman, Effect of oxygen sublattice order on conductivity in highly defective fluorite oxides. J. Eur. Ceram. Soc. 24(6), 1281\u20131285 (2004). https:\/\/doi.org\/10.1016\/s0955-2219(03)00509-0","journal-title":"J. Eur. Ceram. Soc."},{"issue":"11","key":"7991_CR14","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1080\/01411594.2016.1150471","volume":"89","author":"YE G\u00f6nen","year":"2016","unstructured":"Y.E. G\u00f6nen, I. Ermis, M. Ari, Electrical properties of triple-doped bismuth oxide electrolyte for solid oxide fuel cells. Phase Transit. 89(11), 1129\u20131136 (2016). https:\/\/doi.org\/10.1080\/01411594.2016.1150471","journal-title":"Phase Transit."},{"key":"7991_CR15","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1016\/j.tsf.2016.05.034","volume":"612","author":"JC Medina","year":"2016","unstructured":"J.C. Medina, M. Bizarro, P. Silva-Bermudez, M. Giorcelli, A. Tagliaferro, S.E. Rodil, Photocatalytic discoloration of methyl orange dye by $$\\delta$$-Bi$$_2$$O$$_3$$ thin films. Thin Solid Films 612, 72\u201381 (2016). https:\/\/doi.org\/10.1016\/j.tsf.2016.05.034","journal-title":"Thin Solid Films"},{"key":"7991_CR16","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-020-20882-x","author":"P Riente","year":"2021","unstructured":"P. Riente, M. Fianchini, P. Llanes, M.A. Peric\u00e0s, T. No\u00ebl, Shedding light on the nature of the catalytically active species in photocatalytic reactions using Bi$$_2$$O$$_3$$ semiconductor. Nat. Commun. (2021). https:\/\/doi.org\/10.1038\/s41467-020-20882-x","journal-title":"Nat. Commun."},{"issue":"4","key":"7991_CR17","doi-asserted-by":"publisher","first-page":"1215","DOI":"10.1007\/s10008-012-1996-9","volume":"17","author":"X Lv","year":"2013","unstructured":"X. Lv, J. Zhao, X. Wang, X. Xu, L. Bai, B. Wang, Novel Bi$$_2$$O$$_3$$ nanoporous film fabricated by anodic oxidation and its photoelectrochemical performance. J. Solid State Electrochem. 17(4), 1215\u20131219 (2013). https:\/\/doi.org\/10.1007\/s10008-012-1996-9","journal-title":"J. Solid State Electrochem."},{"key":"7991_CR18","doi-asserted-by":"publisher","first-page":"533","DOI":"10.1016\/j.molcata.2016.07.030","volume":"423","author":"X Meng","year":"2016","unstructured":"X. Meng, Z. Zhang, Bismuth-based photocatalytic semiconductors: Introduction, challenges and possible approaches. J. Mol. Catal. A: Chem. 423, 533\u2013549 (2016). https:\/\/doi.org\/10.1016\/j.molcata.2016.07.030","journal-title":"J. Mol. Catal. A: Chem."},{"issue":"3","key":"7991_CR19","doi-asserted-by":"publisher","DOI":"10.1088\/2053-1591\/aa5f67","volume":"4","author":"NS Azhar","year":"2017","unstructured":"N.S. Azhar, M.F.M. Taib, O.H. Hassan, M.Z.A. Yahya, A.M.M. Ali, Structural, electronic and optical properties of Bi$$_2$$O$$_3$$ polymorphs by first-principles calculations for photocatalytic water splitting. Mater. Res. Express 4(3), 034002 (2017). https:\/\/doi.org\/10.1088\/2053-1591\/aa5f67","journal-title":"Mater. Res. Express"},{"issue":"3\u20134","key":"7991_CR20","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1016\/s0167-2738(02)00291-6","volume":"150","author":"N Jiang","year":"2002","unstructured":"N. Jiang, A higher conductivity Bi$$_2$$O$$_3$$-based electrolyte. Solid State Ionics 150(3\u20134), 347\u2013353 (2002). https:\/\/doi.org\/10.1016\/s0167-2738(02)00291-6","journal-title":"Solid State Ionics"},{"issue":"48","key":"7991_CR21","doi-asserted-by":"publisher","first-page":"15386","DOI":"10.1021\/ja065961d","volume":"128","author":"R Punn","year":"2006","unstructured":"R. Punn, A.M. Feteira, D.C. Sinclair, C. Greaves, Enhanced oxide ion conductivity in stabilized $$\\delta$$-Bi$$_2$$O$$_3$$. J. Am. Chem. Soc. 128(48), 15386\u201315387 (2006). https:\/\/doi.org\/10.1021\/ja065961d","journal-title":"J. Am. Chem. Soc."},{"key":"7991_CR22","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1016\/s0039-6028(02)01289-x","volume":"507","author":"L Leontie","year":"2002","unstructured":"L. Leontie, M. Caraman, M. Alexe, C. Harnagea, Structural and optical characteristics of bismuth oxide thin films. Surf. Sci. 507, 480\u2013485 (2002). https:\/\/doi.org\/10.1016\/s0039-6028(02)01289-x","journal-title":"Surf. Sci."},{"key":"7991_CR23","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.ssi.2013.12.027","volume":"255","author":"CL Gomez","year":"2014","unstructured":"C.L. Gomez, O. Depablos-Rivera, J.C. Medina, P. Silva-Bermudez, S. Muhl, A. Zeinert, S.E. Rodil, Stabilization of the delta-phase in Bi$$_2$$O$$_3$$ thin films. Solid State Ionics 255, 147\u2013152 (2014). https:\/\/doi.org\/10.1016\/j.ssi.2013.12.027","journal-title":"Solid State Ionics"},{"key":"7991_CR24","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.ssi.2018.05.021","volume":"323","author":"TK Pietrzak","year":"2018","unstructured":"T.K. Pietrzak, J.E. Garbarczyk, M. Wasiucionek, Stabilization of the $$\\delta$$-Bi$$_2$$O$$_3$$-like structure down to room temperature by thermal nanocrystallization of bismuth oxide-based glasses. Solid State Ionics 323, 78\u201384 (2018). https:\/\/doi.org\/10.1016\/j.ssi.2018.05.021","journal-title":"Solid State Ionics"},{"issue":"1","key":"7991_CR25","doi-asserted-by":"publisher","first-page":"19145","DOI":"10.1038\/s41598-021-98435-5","volume":"11","author":"TK Pietrzak","year":"2021","unstructured":"T.K. Pietrzak, A. Jarocka, C. Jastrz\u0119bski, T. P\u0142oci\u0144ski, M. Wasiucionek, J.E. Garbarczyk, Facile and reproducible method of stabilizing Bi$$_2$$O$$_3$$ phases confined in nanocrystallites embedded in amorphous matrix. Sci. Rep. 11(1), 19145 (2021). https:\/\/doi.org\/10.1038\/s41598-021-98435-5","journal-title":"Sci. Rep."},{"issue":"6","key":"7991_CR26","doi-asserted-by":"publisher","first-page":"1056","DOI":"10.1111\/j.1551-2916.2004.01056.x","volume":"87","author":"M Valant","year":"2004","unstructured":"M. Valant, D. Suvorov, Dielectric characteristics of bismuth oxide solid solutions with a fluorite-like crystal structure. J. Am. Ceram. Soc. 87(6), 1056\u20131061 (2004). https:\/\/doi.org\/10.1111\/j.1551-2916.2004.01056.x","journal-title":"J. Am. Ceram. Soc."},{"issue":"4","key":"7991_CR27","doi-asserted-by":"publisher","first-page":"834","DOI":"10.1134\/s0036024422040136","volume":"96","author":"K Li","year":"2022","unstructured":"K. Li, L. Li, Q. Shi, T. Feng, N. Yin, H. Yan, Z. Tan, G. Li, Low-temperature heat capacities and thermodynamic functions of $$\\alpha$$-Bi$$_2$$O$$_3$$. Russ. J. Phys. Chem. A 96(4), 834\u2013841 (2022). https:\/\/doi.org\/10.1134\/s0036024422040136","journal-title":"Russ. J. Phys. Chem. A"},{"key":"7991_CR28","doi-asserted-by":"publisher","DOI":"10.3390\/nano11051321","author":"TK Pietrzak","year":"2021","unstructured":"T.K. Pietrzak, M. Wasiucionek, J.E. Garbarczyk, Towards higher electric conductivity and wider phase stability range via nanostructured glass-ceramics processing. Nanomaterials (2021). https:\/\/doi.org\/10.3390\/nano11051321","journal-title":"Nanomaterials"},{"key":"7991_CR29","doi-asserted-by":"publisher","DOI":"10.3390\/cryst13091299","author":"P Polak","year":"2023","unstructured":"P. Polak, J. Jamroz, T.K. Pietrzak, Observation of metal-insulator transition (mit) in vanadium oxides V$$_2$$O$$_3$$ and VO$$_2$$ in xrd, dsc and dc experiments. Crystals (2023). https:\/\/doi.org\/10.3390\/cryst13091299","journal-title":"Crystals"},{"key":"7991_CR30","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2021.108171","volume":"271","author":"AP Thompson","year":"2022","unstructured":"A.P. Thompson, H.M. Aktulga, R. Berger, D.S. Bolintineanu, W.M. Brown, P.S. Crozier, P.J. Veld, A. Kohlmeyer, S.G. Moore, T.D. Nguyen, R. Shan, M.J. Stevens, J. Tranchida, C. Trott, S.J. Plimpton, LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales. Comp. Phys. Comm. 271, 108171 (2022). https:\/\/doi.org\/10.1016\/j.cpc.2021.108171","journal-title":"Comp. Phys. Comm."},{"issue":"4","key":"7991_CR31","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1016\/0167-2738(87)90007-5","volume":"23","author":"PWM Jacobs","year":"1987","unstructured":"P.W.M. Jacobs, D.A. Mac D\u00f3naill, Computational simulations of $$\\delta$$-Bi$$_2$$O$$_3$$. i. disorder. Solid State Ionics 23(4), 279\u2013293 (1987). https:\/\/doi.org\/10.1016\/0167-2738(87)90007-5","journal-title":"Solid State Ionics"},{"issue":"17","key":"7991_CR32","doi-asserted-by":"publisher","first-page":"8254","DOI":"10.1063\/1.478738","volume":"110","author":"D Wolf","year":"1999","unstructured":"D. Wolf, P. Keblinski, S.R. Phillpot, J. Eggebrecht, Exact method for the simulation of coulombic systems by spherically truncated, pairwise r-1 summation. J. Chem. Phys. 110(17), 8254\u20138282 (1999). https:\/\/doi.org\/10.1063\/1.478738","journal-title":"J. Chem. Phys."},{"issue":"4","key":"7991_CR33","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/0167-2738(87)90008-7","volume":"23","author":"PWM Jacobs","year":"1987","unstructured":"P.W.M. Jacobs, D.A. Mac D\u00f3naill, Computational simulation of $$\\delta$$-Bi$$_2$$O$$_3$$. ii. charge migration. Solid State Ionics 23(4), 295\u2013305 (1987). https:\/\/doi.org\/10.1016\/0167-2738(87)90008-7","journal-title":"Solid State Ionics"},{"issue":"1","key":"7991_CR34","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1080\/10420159108224852","volume":"119","author":"PWM Jacobs","year":"1991","unstructured":"P.W.M. Jacobs, Z.A. Rycerz, D.A. Mac D\u00f3naill, Molecular dynamics of the fast-ion conductor $$\\delta$$-bismuth oxide. Radiat. Eff. Defect. Solids 119(1), 43\u201348 (1991). https:\/\/doi.org\/10.1080\/10420159108224852","journal-title":"Radiat. Eff. Defect. Solids"},{"issue":"7","key":"7991_CR35","doi-asserted-by":"publisher","first-page":"2349","DOI":"10.1111\/j.1551-2916.2008.02463.x","volume":"91","author":"DS Aidhy","year":"2008","unstructured":"D.S. Aidhy, J.C. Nino, S.B. Sinnott, E.D. Wachsman, S.R. Phillpot, Vacancy-ordered structure of cubic bismuth oxide from simulation and crystallographic analysis. J. Am. Ceram. Soc. 91(7), 2349\u20132356 (2008). https:\/\/doi.org\/10.1111\/j.1551-2916.2008.02463.x","journal-title":"J. Am. Ceram. Soc."},{"issue":"1\u20132","key":"7991_CR36","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/S0167-2738(00)00625-1","volume":"131","author":"E Bohannan","year":"2000","unstructured":"E. Bohannan, Low-temperature electrodeposition of the high-temperature cubic polymorph of bismuth(III) oxide. Solid State Ion. 131(1\u20132), 97\u2013107 (2000)","journal-title":"Solid State Ion."},{"issue":"3\u20134","key":"7991_CR37","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.cplett.2003.07.014","volume":"378","author":"M Yashima","year":"2003","unstructured":"M. Yashima, D. Ishimura, Crystal structure and disorder of the fast oxide-ion conductor cubic Bi$$_2$$O$$_3$$. Chem. Phys. Lett. 378(3\u20134), 395\u2013399 (2003). https:\/\/doi.org\/10.1016\/j.cplett.2003.07.014","journal-title":"Chem. Phys. Lett."},{"issue":"1","key":"7991_CR38","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/0378-4371(89)90115-5","volume":"156","author":"FP Bundy","year":"1989","unstructured":"F.P. Bundy, Pressure-temperature phase diagram of elemental carbon. Phys. A 156(1), 169\u2013178 (1989). https:\/\/doi.org\/10.1016\/0378-4371(89)90115-5","journal-title":"Phys. A"}],"container-title":["Applied Physics A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00339-024-07991-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00339-024-07991-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00339-024-07991-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,23]],"date-time":"2024-12-23T03:06:36Z","timestamp":1734923196000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00339-024-07991-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,15]]},"references-count":38,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["7991"],"URL":"https:\/\/doi.org\/10.1007\/s00339-024-07991-w","relation":{},"ISSN":["0947-8396","1432-0630"],"issn-type":[{"value":"0947-8396","type":"print"},{"value":"1432-0630","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,15]]},"assertion":[{"value":"16 June 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 October 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 November 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"890"}}