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Der einflusz der viskosität auf die relaxationszeit 燃油供应对继位时间的影响
Pub Date : 1982-08-01 DOI: 10.1016/0378-4487(82)80049-6
Heinz Sterk, Elisabeth Maier

It is shown that the definition of a mutual viscosity between solvent and solute can both give information about the structure of the solution and explain the discrepancy between the viscosity of the solvent and the correlation time of the solute. As the viscosity is connected with the friction coefficient, its unambiguous determination is of great significance for the calculation of the relaxation time.

结果表明,溶剂与溶质相互黏度的定义既能给出溶液结构的信息,又能解释溶剂黏度与溶质相关时间的差异。由于黏度与摩擦系数有关,其明确的确定对松弛时间的计算具有重要意义。
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引用次数: 3
Temperature dependence of the vibrational relaxation time in liquid cyclohexane 液体环己烷中振动弛豫时间的温度依赖性
Pub Date : 1982-08-01 DOI: 10.1016/0378-4487(82)80048-4
A. Asenbaum

The temperature dependence of the ultrasonic velocity and ultransonic damping as well as the hypersonic velocity and relaxation time τv1 was measured in liquid cyclohexane by Brillouin scattering. These data suggest a two-step relaxation process for the vibrational relaxing specific heat. According to the results at low temperature all but the two lowest vibrational modes, at high temperature all but the three lowest vibrational modes, are contributing to the specific heat of the first relaxation step. The relaxation time τv2 of the second step was calculated based on the bulk viscosity derived from the Brillouin line width. For the non-relaxing fraction of the bulk viscosity the corresponding values of Argon and Krypton using the theorem of the corresponding states were applied.

Finally the collision number Z10 necessary for the deactivation of the lowest vibrational mode was evaluated on the basis of both the hard sphere model and the cell model. According to the Slawsky-Herzfeld theory a linear relationship between In Z10 and T−1/3 was found for both models.

用布里渊散射法测量了液体环己烷中超声声速和超声阻尼以及高超声速和弛豫时间τv1与温度的关系。这些数据表明了振动松弛比热的两步松弛过程。结果表明,在低温条件下,除两种最低振动模式外,其余所有振动模式都对第一松弛步骤的比热有贡献;在高温条件下,除三种最低振动模式外,其余所有振动模式都对第一松弛步骤的比热有贡献。根据布里渊线宽度得到的体粘度计算第二步的松弛时间τv2。对于体积黏度的非弛豫分数,利用相应态定理分别计算了氩和氪的对应值。最后,在硬球模型和单元模型的基础上,对最低振动模态失活所需的碰撞数Z10进行了计算。根据slavsky - herzfeld理论,在两个模型中都发现了In Z10与T−1/3之间的线性关系。
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引用次数: 0
Relaxation kinetic study of iron(III) chelation with glycolic and lactic acids. Contribution of intermediate steps to the limiting rate in the overall process 铁(III)与乙醇酸和乳酸螯合的弛豫动力学研究。中间步骤对整个过程中极限速率的贡献
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80029-0
F. P. Cavasino, E. Dio, C. Sbriziolo
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引用次数: 2
Dielectric relaxation in NH---N bond complexes NH—N键配合物中的介电弛豫
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80030-7
Mridula Gupta, Mradula Chauhan, S.K. Saxena, J.P. Shukla

Dielectric relaxation measurements on NH---N bonded complexes of pyrrole and indole with pyridine and quinoline molecules respectively have been undertaken at a 9.8 GHz frequency over a range of temperatures 293 –323 K by use of the method of Gopala Krishna[1], Higasi[2] and Higasi, Koga and Nakamura [3]. The observed results indicate the presence of NH---N bonded complexes in the above temperature range under the microwave field. The dipole moments associated with the complexes and thermodynamical parameters have also been determined, and the results obtained exhibit formation of NH---N bond, which behave as a single unit under the applied field.

利用Gopala Krishna[1]、Higasi[2]和Higasi、Koga和Nakamura[3]的方法,在9.8 GHz频率下对吡咯和吲哚与吡啶和喹啉分子的NH—N键配合物进行了介电弛豫测量,温度范围为293 -323 K。结果表明,在微波场作用下,在上述温度范围内存在NH—N键配合物。测定了与配合物相关的偶极矩和热力学参数,得到的结果表明,在外加磁场下,NH—N键的形成是一个单一的单位。
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引用次数: 4
Kinetics of complexation of Ni2+ in hydrogen bonded solvents: nickel malonate in water-glycerine solutions 氢键溶剂中Ni2+络合动力学:丙二酸镍在水-甘油溶液中
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80028-9
Warren Hirsch , Sergio Petrucci

The kinetics of complexation at 25°C of nickel malonate in water-glycerine mixtures has been studied by the pressure-jump relaxation technique. For the water-glycerine mixtures, the ratio kf/KF, (namely the ratio between the forward rate constant kf and the pre-equilibration constant for the bimolecular diffusion step KF), shows a decrease within a factor of two from pure water to 49% glycerine in water. This decrease, if significant, is at variance with the apparently random scatter of the same data for water-fructose mixtures. In order to decide whether these changes in kf/KF reflect solvation of nickel ion, or modification of the chelation mechanism, the complexation of Ni(NCS)2 at 10°C in the same solvent of composition 49% glycerine has been studied. It is proposed that the changes in kf/KF, may be caused by the changes in the KF with solvent composition, namely with changes in the ion-pair distance rather than with changes in the reaction mechanism. This is reflected in the constancy of the kf's with solvent composition.

用压力跳变弛豫技术研究了丙二酸镍在水-甘油混合物中25℃时的络合动力学。对于水-甘油混合物,比率kf/ kf(即正向速率常数kf与双分子扩散步骤kf的预平衡常数之间的比率)显示,从纯水到水中甘油含量为49%,减少了两倍。这种减少,如果有意义的话,与水-果糖混合物的相同数据的明显随机分散不同。为了确定这些kf/ kf的变化是反映了镍离子的溶剂化,还是反映了螯合机制的改变,我们研究了Ni(NCS)2在相同溶剂49%甘油中的10°C络合。提出kf/ kf的变化可能是由于kf随溶剂组成的变化引起的,即离子对距离的变化而不是反应机理的变化。这反映在kf随溶剂组成的常数上。
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引用次数: 0
Numerical solution of fokker/planck/kramers equations fokker/planck/kramers方程的数值解
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80027-7
M. Ferrario, M. Evans, W. Coffey
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引用次数: 1
Numerical solution of fokker/planck/kramers equations fokker/planck/kramers方程的数值解
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80027-7
M. Ferrario, M.W. Evans, W.T. Coffey

Some Fokker/Planck/Kramers equations of current interest are solved numerically for autocorrelation functions and spectra. It is demonstrated that uncritical use of these equations should be avoided because of the neglect of memory effects inherent in their make-up. Only in the case discussed by Evans (1976) does this type of equation produce realistic spectra, and then only over a limited range of temperature and viscosity. The way to proceed in problems involving molecular diffusion of this type is to use molecular dynamics simulation

一些当前感兴趣的Fokker/Planck/Kramers方程对自相关函数和谱进行了数值求解。由于忽略了它们构成中固有的记忆效应,因此应避免不加批判地使用这些方程。只有在Evans(1976)讨论的情况下,这种类型的方程才产生真实的光谱,然后只有在有限的温度和粘度范围内。处理涉及这类分子扩散的问题的方法是使用分子动力学模拟
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引用次数: 1
Dielectric relaxation in NH---N bond complexes NH—N键配合物中的介电弛豫
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80030-7
Mridul Gupta, Mradula Chauhan, S. Saxena, J. P. Shukla
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引用次数: 4
Relaxation kinetic study of iron(III) chelation with glycolic and lactic acids. Contribution of intermediate steps to the limiting rate in the overall process 铁(III)与乙醇酸和乳酸螯合的弛豫动力学研究。中间步骤对整个过程中极限速率的贡献
Pub Date : 1982-07-01 DOI: 10.1016/0378-4487(82)80029-0
F.P. Cavasino, E. Di Dio, C. Sbriziolo

The kinetics of formation of iron(III) monochelates with glycolic and lactic acids have been investigated by the temperature-jump method at 25.0°C and ionic strength 1.0 M over the acidity range 0.0200 – 0.900 M. The kinetic data indicate that two reaction paths, involving the FeOH2+ ion and the neutral and anionic (HL-L) forms of the ligands, lead to the iron(III) chelate formation and that the monodentate complex Fe(OH)L-LH+ is formed as an intermediate compound. Moreover the observed [H+]-dependence of the forward rate constants permits us to estimate the contribution of intermediate steps to the limiting rate in the overall chelate formation process.

采用跳温法研究了铁(III)与乙醇酸和乳酸在25.0℃、离子强度1.0 M、酸度0.0200 ~ 0.900 M条件下形成单螯合物的动力学。动力学数据表明,铁(III)的形成有两种反应途径,分别为FeOH2+离子和配体的中性和阴离子(HL-L -)形式,并形成单齿配合物Fe(OH)L-LH+作为中间化合物。此外,观察到的正向速率常数对[H+]的依赖性使我们能够估计在整个螯合物形成过程中中间步骤对极限速率的贡献。
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引用次数: 2
Correlation times for liquid CH2Cl2 液体CH2Cl2的相关时间
Pub Date : 1982-06-01 DOI: 10.1016/0378-4487(82)80066-6
M.W. Evans, M. Ferrario

The overall consistency of experimentally available correlation times for liquid CH2Cl2 is tested with the aid of a new computer simulation at 293K lbar, using a 5 × 5 Lennard-Jones atom-atom potential with charges situated at the atomic sites. The various N.M.R. correlation times and the dielectric relaxation time are satisfactorily in line with the computer simulation. The infra-red correlation time reported by van Konynenberg and Steele is consistent with the simulation, but those reported by Rothschild are over 100 too short. The correlation time from depolarised Rayleigh scattering is over 3 times longer than the simulation result, and the neutron-scattering correlation time of Brier and Perry is about 100. shorter. The computer simulation reproduces the far infra-red spectrum of liquid CH2Cl2 fairly well and is therefore considered to be reliable.

A coordinated project, such as the EMLG Delta Project is needed to improve the overall consistency of these basic features of liquid phase molecular dynamics, exemplified by liquid CH2Cl2.

利用5 × 5的Lennard-Jones原子-原子势,在293K lbar的温度下测试了液态CH2Cl2的实验相关时间的总体一致性。各种核磁共振相关时间和介电弛豫时间与计算机模拟结果吻合较好。van Konynenberg和Steele报道的红外相关时间与模拟结果一致,但Rothschild报道的相关时间短了100以上。去极化瑞利散射的相关时间比模拟结果长3倍以上,Brier和Perry的中子散射相关时间约为100。短。计算机模拟相当好地再现了液态CH2Cl2的远红外光谱,因此被认为是可靠的。需要一个协调的项目,如EMLG Delta项目,以提高液相分子动力学的这些基本特征的总体一致性,例如液体CH2Cl2。
{"title":"Correlation times for liquid CH2Cl2","authors":"M.W. Evans,&nbsp;M. Ferrario","doi":"10.1016/0378-4487(82)80066-6","DOIUrl":"10.1016/0378-4487(82)80066-6","url":null,"abstract":"<div><p>The overall consistency of experimentally available correlation times for liquid CH<sub>2</sub>Cl<sub>2</sub> is tested with the aid of a new computer simulation at 293K lbar, using a 5 × 5 Lennard-Jones atom-atom potential with charges situated at the atomic sites. The various N.M.R. correlation times and the dielectric relaxation time are satisfactorily in line with the computer simulation. The infra-red correlation time reported by van Konynenberg and Steele is consistent with the simulation, but those reported by Rothschild are over 100 too short. The correlation time from depolarised Rayleigh scattering is over 3 times longer than the simulation result, and the neutron-scattering correlation time of Brier and Perry is about 100. shorter. The computer simulation reproduces the far infra-red spectrum of liquid CH<sub>2</sub>Cl<sub>2</sub> fairly well and is therefore considered to be reliable.</p><p>A coordinated project, such as the EMLG Delta Project is needed to improve the overall consistency of these basic features of liquid phase molecular dynamics, exemplified by liquid CH<sub>2</sub>Cl<sub>2</sub>.</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1982-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80066-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73395771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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Advances in Molecular Relaxation and Interaction Processes
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