Abstract for the Proposal 2008

延續96學年度進行之┌化學、幾何、藝術：串珠分子模型的製作┘計畫，本實驗室將繼續以一般手工藝界中的串珠技巧製作化學中的富勒烯結構之分子模型，並將目標著重於新式沸石結構/週期性最小曲面以及文獻中較少討論之具有負高斯曲率高虧格(genus)拓樸性質的純碳分子體系。由已有的經驗，我們了解到串珠分子模型特別適合模擬具有一定限度曲率變化之分子幾何，這是由於珠子間的硬殼球排斥與穿線的張力之間的互相競爭，在有一定曲率變化的子空間的限制下的回饋力常數較高，是故具有較穩定的力學性質；通過以上所列目標的串珠模型製作，我們相信能更加理解分子模型與實際分子內力場的異同，從而幫助學生在製作過程中對於實際化學分子之幾何的認識。

本計畫將分為四個部份：
第一：我們將有系統地探討沸石結構、週期最小曲面以及高虧格拓樸之純碳體系，並且用串珠建構出這些實體模型。
第二：藉由選擇膠囊形的珠子，製作更為貼近一般球與棒子分子模型的串珠分子。
第三：開設短期訓練課程，讓高中生、大學生參與串珠富勒烯分子之編織，從而介紹同學各類碳烯分子之結構。
第四：持續擴充串珠分子的討論網頁與部落格之內容。

In this proposal, we continue the project in academic year 2007 named ┌Chemistry, Geometry, and Art: The Beaded Molecules┘, in which we discussed the viability of handicraft beading to represent general fullerene molecules with all sorts of topologies and geometries. We will further focus on newly discovered zeolite/triply periodic minimal surfaces and, in particular, high genus structures, which scarcely appear in the literature. As we have learned in previous experience, the beaded molecules nicely simulate fullerenes with finite variations on their embedded geometrical object such as icosahedrons in the usual Ih-symmetric fullerenes. This is originated from the fact that the interplay between the hard-sphere interaction between adjacent beads and the tensile force exerted by the thread inevitably results in a relatively high recovery force constant, in other words, the beaded model has high mechanical stability. We believe that in the mean while students making beaded molecules will be acquainted with molecular geometry besides having a great deal of pleasure about the beauty of beaded molecules. Short-term workshop teaching the basic theory and techniques of beading beaded fullerene will be presented. Refinement and augmentation of currently established homepage and other internet resources will be made.