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By Guillaume-Hyacinthe Bougeant

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Extra info for Amusement Philosophique Sur Le Langage Des Bestes (1739)

Sample text

1. The dominant reductions occur in regions f, f, h, h \ e, e' and a and their magnitudes slightly decrease as going from the periphery to the core. This feature is caused by the fact that the decoherence process is more remarkable in periphery regions (higher energy exciton states). Although the total relaxation effects on yfor D10 and D25 are shown to have contributions with mutually opposite signs, the magnitudes of one- and two-exciton contributions are reduced in both systems by relaxation effects.

This feature originates in the configuration of dipoles parallel to the applied field. Namely, /-aggregate-type interaction effects, which enhance the magnitudes of one-exciton contributions to y are more enhanced in such regions. In contrast, the two-exciton contributions are shown to be distributed extensively in the whole region of the aggregate compared to the one-exciton case. This feature reflects the fact that the two-exciton generation (on two different sites) occurs in more spatially extensive region than the one-exciton generation (on a single site).

33). From this relation, the static atj can be expressed by d2E dF'dF' a,. (35) and the static yijU can be expressed by lijkl ' d*E dFdFjdFkdF' (36) To calculate afj, we use the following numerical differentiation formula: au = (E{F) + E(-F') - 2£(0))/(F f (37) where E(F') represents the total energy in the presence of the field F. The longitudinal components of au and /,,,, are sufficient for describing their optical properties of one-dimensional systems, while for systems with larger spatial dimensions, orientationally averaged (hyper)polarizabilities are considered.

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