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Barnett and Radmore [37] used the Fano diagonalization method to compare the time evolution of the electric field inside a one-dimensional cavity given by the Gardiner-Collett Hamiltonian (91) with that derived from a rigorous modes-of-theuniverse approach Their one-dimensional cavity model consisted of a perfect mirror and a dielectric-delta-function mirror9 They found that for this cavity model, the cavity resonances already differ from the perfect cavity resonances in first order of the transmissivity In their model, the complex reflectivity has a phase that depends on the transmissivity already in first order, making it impossible to recover the reflectivity of a perfect cavity mirror in that order lo There is, however, a simple choke of semitransparent mirror for which the reflectivity reduces to that of a perfect cavity up to first order in the transmissivity.



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124 126 127 128 130 131 Create a Photo Album Presentation Create a Presentation with a Template Build a Blank Presentation Change PowerPoint Views Insert Slides Change the Slide Layout

For reversible termination living systems (ATRP, NMP), the overall radical concentration is lowered relative to the nonliving systems, the average number of radicals per polymer particle is usually far below 1, while the average number of deactivator species is much larger than 1 The compartmentalization effect of emulsion polymerization is absent, and the polymerization essentially follows bulk polymerization behavior The polymerization rates are generally similar to or lower than those in homogeneous polymerization There is less control of molecular weight, and the PSD is broader for living emulsion polymerization For reversible transfer systems (RAFT), there is continuous radical generation, and the radical concentrations in emulsion.





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polymerization are similar to those in homogeneous polymerization. The compartmentalization effect of emulsion polymerization is present for living polymerizations. The overall rate and kinetics are similar to those in nonliving emulsion polymerization, but retardation is often observed for dithioesters, most likely due to desorption of radicals from polymer particles.

This reflectivity leads to cavity resonances that agree up to first order with those of a perfect cavity Let the reflectivity be real and the transmissivity be pure imaginary; specifically, (923) r=-J!- 2 and t=i , where , as the name suggests, is a small (less than 1) positive number Then r = -1 up to first order in Itl, yielding the perfect cavity modes in that approximation We will now use this choice of rand t to derive (91) as a first-order approximation to an exact modes-of-the-universe description To get further insight into this problem, however, the expansion in powers of will be delayed until the final stages of the calculation The perfect cavity modes for the electric field form a complete set for the space inside the cavity.

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Antonietti, M and K Landfester, Prog Polym Sci, 27, 689 (2002) Asua, J M, Prog Polym Sci, 27, 1283 (2002) Ballard, M J, R G Gilbert, D H Napper, P J Pomery, P W O Sullivan, and J H O Donnell, Macromolecules, 19, 1303 (1986) Bechthold, N and K Landfester, Macromolecules, 33, 4682 (2000) Blackley, D C, Emulsion Polymerization, Applied Science, London, 1975 Bovey, F A, I M Kolthoff, A I Medalia, and E J Meehan, Emulsion Polymerization, Interscience, New York, 1955 Brooks, B W and M K Qureshi, Polymer, 17, 740 (1976) Butte, A, G Storti, and M Morbidelli, Macromol Symp, 182, 181 (2002a); Macromol Theory Simul, 11, 37 (2002b) Candau, F Microemulsion Polymerizations, pp 718 724 in Encyclopedia of Polymer Science and Engineering, Vol 9, H F Mark, N M Bikales, C G Overberger, and G Menges, eds.

Any physical configuration of the field located in -L < x < 0, that is, everywhere inside apart from the boundaries (this is a very important point!), can be expanded as a Fourier sine series So we can always write the internal field as.

, WileyInterscience, New York, 1987 Capek, I, M Mlynarova, and J Barton, Makromol Chem, 189, 341 (1988) Casey, B S, I A Maxwell, B R Morrison, and R G Gilbert, Makromol Chem Macromol Symp, 31, 1 (1990) Chainey, M, J Hearn, and M C Wilkinson, J Polym Sci Polym Chem Ed, 25, 505 (1987) Chatterjee, S P, M Banerjee, and R S Konar, J Polym Sci Polym Chem Ed, 17, 2193 (1979) Chen, S-A and K-W Wu, J Polym Sci Polym Chem Ed, 26, 1143 (1988) Co, C C, P Cotts, S Burauer, R de Vries, and E W Kaler, Macromolecules, 34, 3245 (2001) Cooper, W, Emulsion Polymerization, Chap 7 in Reactivity, Mechanism and Structure in Polymer Chemistry, A D Jenkins and A Ledwith, eds, Wiley-Interscience, New York, 1974 Cunningham, M F, Prog Polym Sci.

p = 11/1)(1/11

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