### Abstract

It is outlined how the authors arrived at the existence problem of the intermediate states (IS) possibly appearing in bounded crystals with perfect bulk structure and of certain zig‐zag states (ZZS) in almost periodic (even disordered) biopolymers. Earlier results are summarized and commented. An example is given for how to enhance the appearance probability of ISS. It is shown that within a narrow critical interval, the width of which is about the eighth of the average separation of the bulk states in the k space of the finite linear chains, any state becomes an his (almost IS), which is very similar to the IS and approaches it continuously. Estimating the effects of in‐plane and in‐terplane vibrations of stacked aromatic planar compounds on the delocalized π‐electron structures, it is concluded that the valence modes have a strong effect on the in‐plane π‐electronic systems, but a very small one on the interplane π‐electronic interactions. The longitudinal acoustical modes of finite polynucleotide DNA models and their root mean square amplitudes are estimated by the method of Peticolas. According to the results obtained, DNA‐like and layered graphitelike systems seem to be the probable host systems of 1%. if they exist at all. The appropriateness of the recursion method is discussed to search for unusual electronic states and structures. Such studies are the first unsteady but exciting steps toward the construction of the molecular computers.

Original language | English |
---|---|

Pages (from-to) | 347-357 |

Number of pages | 11 |

Journal | International Journal of Quantum Chemistry |

Volume | 20 |

Issue number | 8 S |

DOIs | |

Publication status | Published - 1981 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics
- Physical and Theoretical Chemistry

### Cite this

**Hunting of strange electronic states and structures in solids and biopolymers.** / Biczó, G.; Lukovits, I.

Research output: Contribution to journal › Article

*International Journal of Quantum Chemistry*, vol. 20, no. 8 S, pp. 347-357. https://doi.org/10.1002/qua.560200731

}

TY - JOUR

T1 - Hunting of strange electronic states and structures in solids and biopolymers

AU - Biczó, G.

AU - Lukovits, I.

PY - 1981

Y1 - 1981

N2 - It is outlined how the authors arrived at the existence problem of the intermediate states (IS) possibly appearing in bounded crystals with perfect bulk structure and of certain zig‐zag states (ZZS) in almost periodic (even disordered) biopolymers. Earlier results are summarized and commented. An example is given for how to enhance the appearance probability of ISS. It is shown that within a narrow critical interval, the width of which is about the eighth of the average separation of the bulk states in the k space of the finite linear chains, any state becomes an his (almost IS), which is very similar to the IS and approaches it continuously. Estimating the effects of in‐plane and in‐terplane vibrations of stacked aromatic planar compounds on the delocalized π‐electron structures, it is concluded that the valence modes have a strong effect on the in‐plane π‐electronic systems, but a very small one on the interplane π‐electronic interactions. The longitudinal acoustical modes of finite polynucleotide DNA models and their root mean square amplitudes are estimated by the method of Peticolas. According to the results obtained, DNA‐like and layered graphitelike systems seem to be the probable host systems of 1%. if they exist at all. The appropriateness of the recursion method is discussed to search for unusual electronic states and structures. Such studies are the first unsteady but exciting steps toward the construction of the molecular computers.

AB - It is outlined how the authors arrived at the existence problem of the intermediate states (IS) possibly appearing in bounded crystals with perfect bulk structure and of certain zig‐zag states (ZZS) in almost periodic (even disordered) biopolymers. Earlier results are summarized and commented. An example is given for how to enhance the appearance probability of ISS. It is shown that within a narrow critical interval, the width of which is about the eighth of the average separation of the bulk states in the k space of the finite linear chains, any state becomes an his (almost IS), which is very similar to the IS and approaches it continuously. Estimating the effects of in‐plane and in‐terplane vibrations of stacked aromatic planar compounds on the delocalized π‐electron structures, it is concluded that the valence modes have a strong effect on the in‐plane π‐electronic systems, but a very small one on the interplane π‐electronic interactions. The longitudinal acoustical modes of finite polynucleotide DNA models and their root mean square amplitudes are estimated by the method of Peticolas. According to the results obtained, DNA‐like and layered graphitelike systems seem to be the probable host systems of 1%. if they exist at all. The appropriateness of the recursion method is discussed to search for unusual electronic states and structures. Such studies are the first unsteady but exciting steps toward the construction of the molecular computers.

UR - http://www.scopus.com/inward/record.url?scp=84984075420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84984075420&partnerID=8YFLogxK

U2 - 10.1002/qua.560200731

DO - 10.1002/qua.560200731

M3 - Article

AN - SCOPUS:84984075420

VL - 20

SP - 347

EP - 357

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

SN - 0020-7608

IS - 8 S

ER -