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空间Bézier曲线的挠率在几何造型中被广泛应用. 文中利用笛卡尔符号法则讨论了两种特殊三次空间Bézier曲线的挠率单调性问题, 最后得出当空间三次Bézier曲线的控制边相等且中间控制边和相邻两控制边的夹角相等时, 挠率仅有一个极小值; 而当两夹角相等但控制边长成等差数列时, 文中给出了挠率单调及极值存在的充分条件. 相似文献
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1 INTRODUCTION Zeolites have attracted much attention in both scientific and industrial areas for their special characteristics and multiple uses. Zeolites are composed of TO4 (T = Si, Al, Ga, P, etc.) tetrahedra which are connected with each other by sharing oxygen atoms to produce a complex and repetitive three-dimensional atom network with regular molecular dimension cavities joined by channels. Shape selectivity is the most important property of zeolites. Combined with the possib… 相似文献
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手性噁唑硼烷催化α-和β-氨基酮不对称还原反应立体选择性的AM1过渡态模型研究 总被引:1,自引:0,他引:1
AM1 transition state (TS) models were developed for the enanfioselecfivifies in the reductions of α-and β-aminoketones catalyzed by (S)-4-benzyl-5,5-diphenyl-1,3,2-oxazaborolidine. The result showed that β-aminoketone gave better enanfioselectivity than its α-analog. Different chiralifies of the final products were obtained, R for the former and S for the latter. These semiempirical TS models are consistent with the experimental data. 相似文献
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本文用AM1半经验分子轨道方法,首次从热力学和动力学角度研究了(R)-4-苄基-5,5-二苯基-1,3,2口恶唑硼烷催化还原系列β-氨基酮的反应,获得了CBS 反应机理各步的反应热及第二、第四步骤的反应活化能,结果表明第二步(催化配合物的形成)和第四步(产物的形成和催化剂的释放)为吸热反应,且第四步反应吸热较多,且活化能远高于第二步,同时发现CBS反应机理中第二步为控制反应产物构型取向的决定步骤,根据第二步反应中生成R和S型催化配合物的活化能之差可推测β-氨基酮分子中羰基对位推电子基的存在有利于获得高光学活性的氨基醇产物。 相似文献