各种碳-碳键的键长通过黄金比例相互关联，以及它们对键能的线性依赖性
Various Carbon to Carbon Bond Lengths Inter-related via the Golden Ratio, and their Linear Dependence on Bond Energies
摘要：
本文研究了石墨、丁二烯和苯中碳-碳单键、双键和三键的键长之间的关系。黄金分割比将玻尔半径分为两部分，分别与带电粒子（电子和质子）有关，并将原子间距离分为阳离子半径和阴离子半径。黄金分割比也在碳-碳键以及石墨、丁二烯和苯中的碳-碳键的离子/极性特征中发挥作用。此外，各种CC键的键能随键长线性变化。
英文摘要：
This work presents the relations between the carbon to carbon bond lengths in the single, double and triple bonds and in graphite, butadiene and benzene. The Golden ratio, which was shown to divide the Bohr radius into two parts pertaining to the charged particles, the electron and proton, and to divide inter-atomic distances into their cationic and anionic radii, also plays a role in the carbon-carbon bonds and in the ionic/polar character of those in graphite, butadiene and benzene. Further, the bond energies of the various CC bonds are shown to vary linearly with the bond lengths.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
