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多重复化高斯—勒让德积分公式及其应用 被引量:7
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作者 张冠茂 《兰州大学学报(自然科学版)》 EI CAS CSCD 北大核心 2000年第5期30-34,共5页
根据物理学研究的实际需要提出了多重复化高斯 -勒让德 (Gauss- L egendre)积分方法 ,并给出了与之相关的一组积分计算公式 .经检验 ,其实际使用效果是令人满意的 ,完全可以达到工程计算所要求的精度 .
关键词 数值计算 多重复化 高斯-勒让德积分公式
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Ni/Pd core/shell nanoparticles supported on graphene as a highly active and reusable catalyst for Suzuki- Miyaura cross-coupling reaction 被引量:15
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作者 Onder Metin Sally Fae Ho +5 位作者 Cemalettin Alp Hasan Can Max N. Mankin Mehmet Serdar Gueltekin Miaofang Chi Shouheng Sun 《Nano Research》 SCIE EI CAS CSCD 2013年第1期10-18,共9页
Monodisperse Ni/Pd core/shell nanoparticles (NPs) have been synthesized by sequential reduction of nickel(II) acetate and palladium(II) bromide in oleylamine (OAm) and trioctylphosphine (TOP). The Ni/Pd NPs ... Monodisperse Ni/Pd core/shell nanoparticles (NPs) have been synthesized by sequential reduction of nickel(II) acetate and palladium(II) bromide in oleylamine (OAm) and trioctylphosphine (TOP). The Ni/Pd NPs have a narrow size distribution with a mean particle size of 10 nm and a standard deviation of 5% with respect to the particle diameter. Mechanistic studies showed that the presence of TOP was essential to control the reductive decomposition of Ni-TOP and Pd-TOP, and the formation of Ni/Pd core/shell NPs. Using the current synthetic protocol, the composition of the Ni/Pd within the core/shell structure can be readily tuned by simply controlling the initial molar ratio of the Ni and Pd salts. The as-synthesized Ni/Pd core/shell NPs were supported on graphene (G) and used as catalyst in Suzuki-Miyaura cross-coupling reactions. Among three different kinds of Ni/Pd NPs tested, the Ni/Pd (Ni/Pd = 3/2) NPs were found to be the most active catalyst for the Suzuki-Miyaura cross-coupling of arylboronic acids with aryl iodides, bromides and even chlorides in a dimethylformamide/water mixture by using K2CO3 as a base at 110 ℃. The G-Ni/Pd was also stable and reusable, providing 98% conversion after the 5th catalytic run without showing any noticeable Ni/Pd composition change. The G-Ni/Pd structure reported in this paper combines both the efficiency of a homogeneous catalyst and the durability of a heterogeneous catalyst, and is promising catalyst candidate for various Pd-based catalytic applications. 展开更多
关键词 NICKEL PALLADIUM core/shell nanoparticles CATALYSIS Suzuki-Miyaura cross-coupling
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