{"title":"中富勒烯从C24到C48生长的几何模型","authors":"Alexander I. Melker, Maria A. Krupina","doi":"10.1016/j.spjpm.2016.07.001","DOIUrl":null,"url":null,"abstract":"<div><p>Axonometric projections together with corresponding graphs for fullerenes are constructed in the range from 24 to 48. The growth of fullerenes is studied on the basis of the mechanism, according to which a carbon dimer embeds in a hexagon of an initial fullerene. This leads to stretching and breaking the covalent bonds which are parallel to arising tensile forces. In this case, instead of the hexagon adjoining two pentagons, one obtains two adjacent pentagons adjoining two hexagons. As a result, there arises a new atomic configuration and there is mass increase of two carbon atoms. We considered direct descendants of fullerene C<sub>24</sub>; namely, C<sub>2</sub><em><sub>n</sub></em>, where <em>n</em> <!-->=<!--> <!-->13–24.</p></div>","PeriodicalId":41808,"journal":{"name":"St Petersburg Polytechnic University Journal-Physics and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.spjpm.2016.07.001","citationCount":"9","resultStr":"{\"title\":\"Geometric modeling of midi-fullerenes growth from C24 to C48\",\"authors\":\"Alexander I. Melker, Maria A. Krupina\",\"doi\":\"10.1016/j.spjpm.2016.07.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Axonometric projections together with corresponding graphs for fullerenes are constructed in the range from 24 to 48. The growth of fullerenes is studied on the basis of the mechanism, according to which a carbon dimer embeds in a hexagon of an initial fullerene. This leads to stretching and breaking the covalent bonds which are parallel to arising tensile forces. In this case, instead of the hexagon adjoining two pentagons, one obtains two adjacent pentagons adjoining two hexagons. As a result, there arises a new atomic configuration and there is mass increase of two carbon atoms. We considered direct descendants of fullerene C<sub>24</sub>; namely, C<sub>2</sub><em><sub>n</sub></em>, where <em>n</em> <!-->=<!--> <!-->13–24.</p></div>\",\"PeriodicalId\":41808,\"journal\":{\"name\":\"St Petersburg Polytechnic University Journal-Physics and Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.spjpm.2016.07.001\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"St Petersburg Polytechnic University Journal-Physics and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2405722316301074\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"St Petersburg Polytechnic University Journal-Physics and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405722316301074","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Geometric modeling of midi-fullerenes growth from C24 to C48
Axonometric projections together with corresponding graphs for fullerenes are constructed in the range from 24 to 48. The growth of fullerenes is studied on the basis of the mechanism, according to which a carbon dimer embeds in a hexagon of an initial fullerene. This leads to stretching and breaking the covalent bonds which are parallel to arising tensile forces. In this case, instead of the hexagon adjoining two pentagons, one obtains two adjacent pentagons adjoining two hexagons. As a result, there arises a new atomic configuration and there is mass increase of two carbon atoms. We considered direct descendants of fullerene C24; namely, C2n, where n = 13–24.