{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,26]],"date-time":"2026-10-26T21:03:10Z","timestamp":1793048590045,"version":"4.5.0"},"reference-count":42,"publisher":"MDPI AG","issue":"14","license":[{"start":{"date-parts":[[2022,7,10]],"date-time":"2022-07-10T00:00:00Z","timestamp":1657411200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"FEDER funds","award":["UIDB\/00285\/2020"],"award-info":[{"award-number":["UIDB\/00285\/2020"]}]},{"name":"FEDER funds","award":["LA\/P\/0112\/2020"],"award-info":[{"award-number":["LA\/P\/0112\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nanomaterials"],"abstract":"<jats:p>After a large-scale investigation into carbon nanotubes, significant research efforts have been devoted to discovering and synthesizing other nanotubes formed by chemical elements other than carbon. Among them, non-carbon nanotubes based on compounds of the elements of the 13th group of the periodic table and phosphorus. These inorganic nanotubes have proved to be more suitable candidates than carbon nanotubes for the construction of novel electronic and optical-electronic nano-devices. For this reason, until recently, mainly the structural and electrical properties of phosphide nanotubes were investigated, and studies to understand their mechanical behavior are infrequent. In the present work, the elastic properties of single-walled boron phosphide, aluminum phosphide, gallium phosphide and indium phosphide nanotubes were numerically evaluated using a nanoscale continuum modelling (also called molecular structural mechanics) approach. The force field constants required to assess the input parameters for numerical simulations were calculated for boron phosphide, aluminum phosphide, gallium phosphide and indium phosphide nanostructures using two different methods. The influence of input parameters on the elastic properties evaluated by numerical simulation was studied. A robust methodology to calculate the surface elastic moduli of phosphide nanotubes is proposed.<\/jats:p>","DOI":"10.3390\/nano12142360","type":"journal-article","created":{"date-parts":[[2022,7,11]],"date-time":"2022-07-11T00:06:21Z","timestamp":1657497981000},"page":"2360","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Elastic Properties of Single-Walled Phosphide Nanotubes: Numerical Simulation Study"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1922-4365","authenticated-orcid":false,"given":"Nataliya","family":"Sakharova","sequence":"first","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, Rua Lu\u00eds Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1581-2197","authenticated-orcid":false,"given":"Jorge","family":"Antunes","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, Rua Lu\u00eds Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal"},{"name":"Abrantes High School of Technology, Polytechnic Institute of Tomar, Quinta do Contador, Estrada da Serra, 2300-313 Tomar, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0443-4925","authenticated-orcid":false,"given":"Andr\u00e9","family":"Pereira","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, Rua Lu\u00eds Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bruno","family":"Chaparro","sequence":"additional","affiliation":[{"name":"Abrantes High School of Technology, Polytechnic Institute of Tomar, Quinta do Contador, Estrada da Serra, 2300-313 Tomar, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3692-585X","authenticated-orcid":false,"given":"Jos\u00e9","family":"Fernandes","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, Rua Lu\u00eds Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"13656","DOI":"10.1021\/ja027575b","article-title":"Sterically induced shape and crystalline phase control of GaP nanocrystals","volume":"124","author":"Kim","year":"2002","journal-title":"J. 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