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A non-perturbation method for the optical properties of helical polymers

✍ Scribed by F. M. Loxsom; L. Tterlikkis; William Rhodes


Publisher
Wiley (John Wiley & Sons)
Year
1971
Tongue
English
Weight
801 KB
Volume
10
Category
Article
ISSN
0006-3525

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✦ Synopsis


The optical absorpt,ion and circular dichroisin (CD) of poly-1.-alariine in an a-helical conformation are computed in terms of monomer properties by use of Bogolirtbov exciton theory (a noii-pert.rirbation method). It was shown earlier that a proper formulation of the theory of CI> for large molecular systems permits the use of periodic boundary conditions, a feature which greatly simplifies calculat,ions as well as conceptual urtderstandiiig.

It is found that the shape of the observed CII spectrum can be explained in terms of the two rotational strength components and an electric dipole strength component referred to as the helix term. Comparisons of the results of perturbation theory and Bogoliubov exciton theory show that pert,urbation theory is valid for absorption but, is inadequate for CL) if the coupling among monomers is sufficiently large to predict t.he observed hypochromism.

* I n the linear response theory method the empirical frequencydependent monomer polarizability is used; whereas in the Bogoliubov exciton method monomer transitions a t definite frequencies are used.


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✍ L.Gr. Ixaru; M. Rizea; T. Vertse πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 833 KB

It is shown that the piecewise perturbation methods provide a powerful numerical tool for solving the complex eigenvalue problem of the SchrOdinger equation in a complex optical potential. One of them, the CPM(2), is compared with the existing NAG subroutines and found substantially faster. We also