The charge migration in biomolecules

The one-dimensional polyconjugated chains of biomolecules are chosen for study. The band theory of the pi-electrons in polymers is reviewed and the experimental results of electric conduction in biomolecular systems are discussed. The migation of charges, especially that of holes which is considered to be important in both conduction phenomena and physical processes of radiation damage, .is studied in a simplified mode]. We use the Wannier function to represent the access charge, say a hole, made initially at some localized region and the time evolution is described by the time - dependent Wannier function. It is shown that the hole or the access electron in the polyconjugated chain of a protein or a DNA macromolecule, will spread out after some time duration t > To , where To~ 10 to the -15 sec for most cases. And the r.m.s. velocity of spreading is approximately equal to the group velocity in the band conduction, it is estimated that vrms = 10 to the 6th ~10 to the 7th cm/sec. The probability of finding the access charge at n unit cells away from the initial place is Pn = |Jn (2Bt/h)|2 where is the Bessel function of first kind and of order n. The effects neglected in this simplified treatment and their expected importances for intra-molecular charge transfer processes are discussed briefly.

Name thesis:degree_name

Master of Arts

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Natural Sciences

Grantor

Rice University

Year dc:date.issued

1972

Author dc:creator

• Leung, Huen Kwong

Advisor dc:contributor.advisor

• Trammell, George T.

Statement dc:rights

• Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1911/90096

OAI identifier oai:identifier

oai:repository.rice.edu:1911/90096