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对称PB方程在带电胶粒相互作用能计算中的应用
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作者 孙宇梅 沈致隆 《北京工商大学学报(自然科学版)》 CAS 2002年第2期1-6,共6页
考虑到胶体分散系中所有带电胶粒 (胶体粒子 )之间的作用 ,由 Ornstein- Zernike方程的维里展开式导出了对称的 Poisson- Boltzmann方程 .利用此方程 ,算出了带正电的胶体粒子和介质中 1 - 1对称二元电解质离子的静电内势能 ,并将它们与
关键词 对称pb方程 带电胶粒 相互作用 计算 DLVO理论
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电毛细管中非线性PB积分方程及其数值解
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作者 钱勇先 《电化学》 CAS CSCD 1996年第4期408-412,共5页
依据电毛细管非线性PoissonBoltzmann微分方程的物理原理,导出其积分形式的PB方程.并采用数值迭代法给出相应方程的数值解.数值计算只用到电势Ψ的离散值,不需要Ψ的导数值,从根本上解决了因电势在管壁陡然变... 依据电毛细管非线性PoissonBoltzmann微分方程的物理原理,导出其积分形式的PB方程.并采用数值迭代法给出相应方程的数值解.数值计算只用到电势Ψ的离散值,不需要Ψ的导数值,从根本上解决了因电势在管壁陡然变化引起数值解法的困难.文中给出的计算实例表明该算法是正确的、有效的和高精度的(相对误差小于0.01%),且在PC机上容易实现. 展开更多
关键词 双电层 毛细管 积分方程 数值解 电解液 pb方程
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带电胶体粒子的电热分布:非线性积分方程
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作者 钱勇先 邓皓 《电化学》 CAS CSCD 1997年第3期244-251,共8页
多电解质溶液中带电胶体料一子的电势分布由球形Posisson-Boltzmann方程描述。PBE是一个非线性的微分方程组难以求得其解析解。本文采用非线性P-B积分方程,计算电势分布的数值解。
关键词 电势分布 胶体粒子 双电层 pb方程 非线性
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基于改进型泊松-玻尔兹曼方程的电渗流建模与分析
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作者 胡晟 吕江涛 司光远 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2019年第3期447-451,共5页
建立了双电层的离子分布模型,基于经典Poisson-Boltzmann(PB)方程和改进型MPB(modifiedPoisson Boltzmann)方程对不同浓度和激励电压的离子分布进行了理论研究.结果发现在电压高于0. 4 V,且自由离子浓度小于10-4mol/L时,双电层内部的扩... 建立了双电层的离子分布模型,基于经典Poisson-Boltzmann(PB)方程和改进型MPB(modifiedPoisson Boltzmann)方程对不同浓度和激励电压的离子分布进行了理论研究.结果发现在电压高于0. 4 V,且自由离子浓度小于10-4mol/L时,双电层内部的扩散层厚度存在较大的误差.这直接导致了基于Debye长度模拟电渗流运动与实际观测不符,主要因为Debye-Hückel公式具有线性关系不适用于仿真高电压条件下的电渗流运动.因此借助非线性MPB方程求解扩散层厚度,更能精确得到正、负电极宽度为500μm,间距为25μm,在±1 V,500 Hz电信号产生的最大电渗流速度为1 034. 31μm/s. 展开更多
关键词 交流电渗流 双电层 pb方程 Mpb方程 有限元法
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Adsorption Kinetics of Pb^(2+) and Cu^(2+) on Variable Charge Soils and Minerals: Ⅱ. Equations for Describing Experimental Data 被引量:3
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作者 HU GUO-SONGInstitute of Soil Science, A cademia Sinica, P. O. Box 821, Nanjing 210008 ( China) 《Pedosphere》 SCIE CAS CSCD 1993年第2期161-172,共12页
Different mathematical methods, including linearization, differential, integration and nonlinear least squares approximation (Newton-Marquardt method), were used to fit different kinetic equations, such as zero-order,... Different mathematical methods, including linearization, differential, integration and nonlinear least squares approximation (Newton-Marquardt method), were used to fit different kinetic equations, such as zero-order, first-order (i. e, membrane diffusion), second-order, parabolic-diffusion, Elovich, two-constant equations, to the experimental data of Pb2+ and Cu2+ adsorption on variable charge soils and kaolinite. Assuming each M2+ occupied two adsorption sites, two more equations, the so-called surface second-order equation and third-order equation were derived and compared with the above equations according to the fitting results, which showed that the second-order equation and surface second-order equation, being one equation in different expressions under some conditions, were better than the other equations in describing the Pb2+ and Cu2+ adsorption kinetics, and the latter was the best. 展开更多
关键词 Adsorption kinetics EQUATIONS heavy metals MODELS variable charge soils
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New SIMS U–Pb zircon age and its constraint on the beginning of the Nantuo glaciation 被引量:14
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作者 刘鹏举 李献华 +4 位作者 陈寿铭 兰中伍 杨犇 尚晓东 尹崇玉 《Science Bulletin》 SCIE EI CAS CSCD 2015年第10期958-963,I0008,共7页
A new SIMS U-Pb zircon age of 654.2 ± 2.7 Ma was reported from the middle Datangpo Formation in Changyang County of Hubei Province, China. The age is identical with that of 654 ± 3.8 Ma from the top Datangpo... A new SIMS U-Pb zircon age of 654.2 ± 2.7 Ma was reported from the middle Datangpo Formation in Changyang County of Hubei Province, China. The age is identical with that of 654 ± 3.8 Ma from the top Datangpo Formation in western Hunan Province, revealing that the volcanic activities (- 654 Ma) may have occurred widely in South China. The occurrence of the tuff beds (-654 Ma) at different intervals of the Datangpo Formation indicates that the erosion process after the Datangpo deposition varied significantly in different areas. It is thus consequently suggested that the rift in South China was active until the Nantuo glaciation. In addition, the new age confirms that the Nantuo glaciation started much later than 654 Ma. 展开更多
关键词 South China Neoproterozoic - Datangpo Formation SIMS U-pb zircon dating Nantuo glaciation
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