Monte Carlo simulations of self-avoiding tethered chain conformations in small spherical cavities were performed at relatively high segment densities. Tethered chain systems were studied as models of swollen cores of multimolecular block copolymer micelles in selective solvents. Simulations were performed on a tetrahedral lattice using (i) a mutually independent simultaneous self-avoiding walk of all chains and (ii) a modified equilibration algorithm similar to that proposed by Siepmann and Frenkel [Siepmann, J. I.; Frenkel, D. Mol. Phys. 1992, 75, 59] for dense polymer melts. Distribution of lengths of tethered end-to-free end vectors, rTF, of individual chains, and their angular orientations, , with respect to the radial direction was calculated during computer simulations. Processes of nonradiative energy transfer between end-attached donors and traps and processes of excitation energy migration among identical fluorophores in systems of constrained self-avoiding tethered chains with fluorescently tagged free ends were also studied by computer-based simulations.
IntroductionSince early observations of block copolymer micellization, many micellar properties have been studied by a number of experimental techniques, such as elastic and quasielastic light scattering, ultracentrifugation, viscometry, size-exclusion chromatography, and electron microscopy. 1 In the recent times, steady-state and timeresolved fluorometric techniques with nanosecond or picosecond time resolutions have proved to be powerful and sensitive tools for studying the polymer dynamics in heterogeneous media and in structurally organized polymeric systems 2 and for studying colloidal systems. 3 Fluorometric techniques are particularly valuable in the investigation of properties of micellizing copolymer solutions. 2 Many theoretical studies have also been performed in order to understand the behavior of micellizing polymeric systems. 4,5i Existing theories are able to predict general properties of copolymer micelles fairly well. However, the detailed knowledge of chain conformations in micellar cores that is needed for correct interpretation of fluorometric measurements with endtagged insoluble blocks is still limited. Several computerbased studies of the spontaneous association of lowmolar-mass detergents and flexible chain molecules (e.g., block oligomers) have been published so far. 5 The published papers represent excellent pieces of computer modeling and yield important information on processes of micelle formation and dissociation; however, due to the complexity of the problem, the chain molecules studied were rather short, and the micellar structure has not been investigated in detail. Valuable information on micellizing polymeric systems has also been obtained indirectly as results of theoretical studies of tethered chains systems. Tethered chains have been studied either by computer-based simulations, 6 or by the scaling approach and the self-consistent field theories. 7 Only little attention has been paid so far to dense systems of te...