The phase behavior of hard core Stockmayer fluids ͑i.e., dipolar hard spheres with additional Lennard-Jones interactions͒ adsorbed into a disordered porous hard sphere matrix is studied by means of replica-integral equations in the reference hypernetted chain approximation. The integral equations are solved for the homogeneous isotropic phase and the low-temperature phase behavior is inferred from those thermal fluctuations which strongly increase when the stability limit of the isotropic phase is approached. Analyzing first number density fluctuations and adsorption isotherms we find that the vapor-liquid transition occuring in bulk Stockmayer fluids still takes place in matrices of sufficiently high porosity. The corresponding critical point is shifted towards a lower temperature and density, in agreement with previous results on simpler fluids. At high fluid densities a diverging dielectric constant indicates the presence of an isotropic-to-ferroelectric transition for all systems considered, and the corresponding transition temperatures are found to increase with increasing matrix density. Comparing the fluid-matrix systems with fully equilibrated mixtures we argue that this enhanced tendency for ferroelectric ordering is essentially due to excluded volume effects.
Based on replica integral equations in the (reference) hypernetted chain approximation we investigate the structural features and phase properties of a dipolar Stockmayer fluid confined to a disordered dipolar matrix. The integral equations are applied to the homogeneous high-temperature phase where the system is globally isotropic. At low densities we find the influence of dipolar interactions between fluid (f) and matrix (m) particles to be surprisingly similar to the previously investigated effect of attractive isotropic (fm) interactions: the critical temperature of the vapor-liquid transition decreases with increasing (fm) coupling, while the critical density increases. The anisotropic nature of the dipolar (fm) interactions turns out to play a more dominant role at high fluid densities where we observe a pronounced sensitivity in the dielectric constant and a strong degree of local orientational ordering of the fluid particles along the local fields generated by the matrix. Moreover, an instability of the dielectric constant, which is a precursor of ferroelectric ordering occurring both in bulk Stockmayer fluids and in fluids in nonpolar matrices, is observed only for very small dipolar (fm) couplings.
Herein we discuss computations that explain experimental results regarding a highly efficient triplet analogue of the C(2)-C(6) cyclisation of enyne-heteroallenes recently discovered by Schmittel and co-workers.1 To shed some light on the reasons for the differences found between enyne-carbodiimides, enyne-ketenimines and enyne-allenes, we have computed the reaction profiles of the C(2)-C(6) and of the C(2)-C(7) cyclisations for various model compounds, assuming that the reactions take place on the lowest-lying triplet surfaces. Our results nicely explain the differences and the unexpected high efficiency found for the enyne-carbodiimides. The differences between enyne-carbodiimides and enyne-ketenimines prove to be due to differences in the shapes of the corresponding triplet surfaces. In contrast to the enyne-carbodiimides, for which our calculations predict that a direct cyclisation to the biradical intermediates should occur after the vertical excitation, the enyne-ketenimines relax into a local minimum on the triplet surface. As a consequence, further reaction channels are opened. Our computations indicate that enyne-allene compounds do not react because the necessary excitation energy lies outside the range of the employed triplet photosensitizer. Finally, the close agreement between our results and the experimental findings indicates that the underlying reasons for the differences in the photochemical behaviour of enyne-carbodiimides, enyne-ketenimines and enyne-allenes are related to differences in the electronic structures of the parent systems, while substituent effects are less important.
Using replica integral equations in the reference hypernetted-chain (RHNC) approximation we calculate vapor-liquid spinodals, chemical potentials, and compressibilities of fluids with angle-averaged dipolar interactions adsorbed to various disordered porous media. Comparison with previous RHNC results for systems with true angle-dependent Stockmayer (dipolar plus Lennard-Jones) interactions indicate that, for a dilute hard sphere matrix, the angle-averaged fluid-fluid (ff) potential is a reasonable alternative for reduced fluid dipole moments m( *2)=mu(2)/(epsilon(0)sigma(3))< or =2.0. This range is comparable to that estimated in bulk fluids, for which RHNC results are presented as well. Finally, results for weakly polar matrices suggest that angle-averaged fluid-matrix (fm) interactions can reproduce main features observed for true dipolar (fm) interactions such as the shift of the vapor-liquid spinodals towards lower temperatures and higher densities. However, the effective attraction induced by dipolar (fm) interaction is underestimated rather than overestimated as in the case of angle-averaged ff interactions.
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