Exact solution of a model of condensed-phase electron transfer with non-Condon effects

Non-Condon effects are important in the analysis of electron transfer in many systems coupled to a condensed-phase environment. We detail a novel condensed-phase electron transfer Hamiltonian that extends the spin-boson model to account for non-Condon effects. We show that the relevant reduced system density matrix dynamics can be calculated exactly for a particular class of bath Hamiltonians and system-bath couplings. An explicit formula for the long-time behavior of these systems is derived. We show that they exhibit non-Boltzmann long-time behavior that is independent of temperature, and depends on the system Hamiltonian and the initial system density matrix.     

Micellar structure and mechanical properties of block copolymer‐modified epoxies

Amphiphilic block copolymers provide a unique means for toughening epoxy resins because they can self‐assemble into different inclusion shapes before epoxy curing. The two examples reported here are spherical micelles and vesicles, which form in blends containing epoxy and symmetric or asymmetric poly(ethylene oxide)–poly(ethylene‐alt‐propylene) (PEO–PEP) block copolymer with PEO volume fractions of 0.5 and 0.26, respectively. The vesicles and spherical micelles were characterized by transmission electron microscopy and small‐angle X‐ray scattering (SAXS), respectively. SAXS data from the spherical micelles were fit to the Percus–Yevick model for a liquid‐like packing of spheres with hard‐core interactions. Mechanical properties of spherical‐micelle‐modified and vesicle‐modified epoxies in the dilute limit are compared. The glass‐transition temperature and Young's (storage) modulus were tested with dynamic mechanical spectroscopy, and compact‐tension experiments were performed to determine the critical plane‐strain energy release rate for fracture. Vesicles were most effective in improving the epoxy fracture resistance. © 2001 John Wiley & Sons, Inc. J Polym Sci Part B: Polym Phys 39: 2996–3010, 2001