大学化学

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“多面体拓扑”视角下的原子簇结构再认识——以欧拉定理辅助解决结构推断问题

范如本1, 卓峻峭2, 刘子豪3, 阳东初1, 李婷1, 常启帆1, 胡润泽1, 徐军1   

  1. 1 四川省成都市第七中学, 四川 成都 610041;
    2 重庆市教育科学研究院, 重庆 400015;
    3 广东省深圳中学, 广东 深圳 518024
  • 收稿日期:2026-03-12 录用日期:2026-05-08
  • 通讯作者: 范如本 E-mail:1528580278@qq.com Ruben Fan

Reconceptualizing atomic cluster structures from a polyhedral topology perspective: application of Euler's theorem in solving structural inference problems

Ruben Fan1, Junqiao Zhuo2, Zihao Liu3, Dongchu Yang1, Ting Li1, Qifan Chang1, Runze Hu1, Jun Xu1   

  1. 1 Chengdu No.7 High School, Chengdu 610041, Sichuan Province, China;
    2 Chongqing Academy of Educational Science, Chongqing 400015, China;
    3 Shenzhen Middle School, Shenzhen 518024, Guangdong Province, China
  • Received:2026-03-12 Accepted:2026-05-08
  • Contact: Ruben Fan E-mail:1528580278@qq.com

摘要: 基于“多面体拓扑”视角,以欧拉定理的数学推理方法,新解了第32届化学竞赛决赛试题,并将该方法推广到了其他不规则多面体原子簇结构。

关键词: 多面体拓扑, 原子簇, 欧拉定理, 数学方法, 化学竞赛

Abstract: From the perspective of polyhedral topology and employing the mathematical reasoning approach of Euler's theorem, this study presents a novel solution to problems encountered in the 32nd Chemistry Olympiad (final). Furthermore, the proposed methodology is extended to analyze other irregular polyhedral atomic cluster structures.

Key words: Polyhedral topology, Atomic cluster, Euler theorem, Mathematical method, Chemical Olympiad