Pub Date : 1982-08-01DOI: 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.
{"title":"Der einflusz der viskosität auf die relaxationszeit","authors":"Heinz Sterk, Elisabeth Maier","doi":"10.1016/0378-4487(82)80049-6","DOIUrl":"10.1016/0378-4487(82)80049-6","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"23 4","pages":"Pages 247-258"},"PeriodicalIF":0.0,"publicationDate":"1982-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80049-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82240307","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}
Pub Date : 1982-08-01DOI: 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.
{"title":"Temperature dependence of the vibrational relaxation time in liquid cyclohexane","authors":"A. Asenbaum","doi":"10.1016/0378-4487(82)80048-4","DOIUrl":"10.1016/0378-4487(82)80048-4","url":null,"abstract":"<div><p>The temperature dependence of the ultrasonic velocity and ultransonic damping as well as the hypersonic velocity and relaxation time τ<sub>v1</sub> 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 τ<sub>v2</sub> 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.</p><p>Finally the collision number Z<sub>10</sub> 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 Z<sub>10</sub> and T<sup>−1/3</sup> was found for both models.</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"23 4","pages":"Pages 223-245"},"PeriodicalIF":0.0,"publicationDate":"1982-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80048-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84081111","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}
Pub Date : 1982-07-01DOI: 10.1016/0378-4487(82)80029-0
F. P. Cavasino, E. Dio, C. Sbriziolo
{"title":"Relaxation kinetic study of iron(III) chelation with glycolic and lactic acids. Contribution of intermediate steps to the limiting rate in the overall process","authors":"F. P. Cavasino, E. Dio, C. Sbriziolo","doi":"10.1016/0378-4487(82)80029-0","DOIUrl":"https://doi.org/10.1016/0378-4487(82)80029-0","url":null,"abstract":"","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"1 1","pages":"191-201"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87295700","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}
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.
{"title":"Dielectric relaxation in NH---N bond complexes","authors":"Mridula Gupta, Mradula Chauhan, S.K. Saxena, J.P. Shukla","doi":"10.1016/0378-4487(82)80030-7","DOIUrl":"https://doi.org/10.1016/0378-4487(82)80030-7","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"23 3","pages":"Pages 203-211"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80030-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91755211","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}
Pub Date : 1982-07-01DOI: 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.
{"title":"Kinetics of complexation of Ni2+ in hydrogen bonded solvents: nickel malonate in water-glycerine solutions","authors":"Warren Hirsch , Sergio Petrucci","doi":"10.1016/0378-4487(82)80028-9","DOIUrl":"10.1016/0378-4487(82)80028-9","url":null,"abstract":"<div><p>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 k<sub>f</sub>/K<sub>F</sub>, (namely the ratio between the forward rate constant k<sub>f</sub> and the pre-equilibration constant for the bimolecular diffusion step K<sub>F</sub>), 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 k<sub>f</sub>/K<sub>F</sub> reflect solvation of nickel ion, or modification of the chelation mechanism, the complexation of Ni(NCS)<sub>2</sub> at 10°C in the same solvent of composition 49% glycerine has been studied. It is proposed that the changes in k<sub>f</sub>/K<sub>F</sub>, may be caused by the changes in the K<sub>F</sub> 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 k<sub>f</sub>'s with solvent composition.</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"23 3","pages":"Pages 179-190"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80028-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85528275","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}
Pub Date : 1982-07-01DOI: 10.1016/0378-4487(82)80027-7
M. Ferrario, M. Evans, W. Coffey
{"title":"Numerical solution of fokker/planck/kramers equations","authors":"M. Ferrario, M. Evans, W. Coffey","doi":"10.1016/0378-4487(82)80027-7","DOIUrl":"https://doi.org/10.1016/0378-4487(82)80027-7","url":null,"abstract":"","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"79 1","pages":"143-178"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90610207","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}
Pub Date : 1982-07-01DOI: 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
{"title":"Numerical solution of fokker/planck/kramers equations","authors":"M. Ferrario, M.W. Evans, W.T. Coffey","doi":"10.1016/0378-4487(82)80027-7","DOIUrl":"https://doi.org/10.1016/0378-4487(82)80027-7","url":null,"abstract":"<div><p>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</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"23 3","pages":"Pages 143-178"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80027-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90026390","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}
Pub Date : 1982-07-01DOI: 10.1016/0378-4487(82)80030-7
Mridul Gupta, Mradula Chauhan, S. Saxena, J. P. Shukla
{"title":"Dielectric relaxation in NH---N bond complexes","authors":"Mridul Gupta, Mradula Chauhan, S. Saxena, J. P. Shukla","doi":"10.1016/0378-4487(82)80030-7","DOIUrl":"https://doi.org/10.1016/0378-4487(82)80030-7","url":null,"abstract":"","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"48 1","pages":"203-211"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90366775","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}
Pub Date : 1982-07-01DOI: 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.
{"title":"Relaxation kinetic study of iron(III) chelation with glycolic and lactic acids. Contribution of intermediate steps to the limiting rate in the overall process","authors":"F.P. Cavasino, E. Di Dio, C. Sbriziolo","doi":"10.1016/0378-4487(82)80029-0","DOIUrl":"https://doi.org/10.1016/0378-4487(82)80029-0","url":null,"abstract":"<div><p>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 FeOH<sup>2+</sup> ion and the neutral and anionic (HL-L<sup>−</sup>) forms of the ligands, lead to the iron(III) chelate formation and that the monodentate complex Fe(OH)L-LH<sup>+</sup> is formed as an intermediate compound. Moreover the observed [H<sup>+</sup>]-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.</p></div>","PeriodicalId":100049,"journal":{"name":"Advances in Molecular Relaxation and Interaction Processes","volume":"23 3","pages":"Pages 191-201"},"PeriodicalIF":0.0,"publicationDate":"1982-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4487(82)80029-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91755212","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}
Pub Date : 1982-06-01DOI: 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.
{"title":"Correlation times for liquid CH2Cl2","authors":"M.W. Evans, 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":"23 2","pages":"Pages 113-117"},"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}