Activated Conduction in Microscopic Molecular Junctions

Dvira Segal, Abraham Nitzan, Mark A Ratner, William B. Davis

Research output: Contribution to journalArticle

97 Citations (Scopus)

Abstract

We analyze the connection between the electron transfer (ET) rate through a given molecular bridge, and the conduction of a junction based on the same bridge between two metals. The Landauer relation between the conduction of a junction and its transmission properties is generalized to yield a relation between conduction and ET rate, including transfer processes dominated by thermal activation. The relation between the orders of magnitude of these observables involves an additional length parameter, of the order of the range of the donor wave function. We find that the functional dependence of these observables on the bridge length (N) and on the temperature (T) changes from the exponential and temperature independent, exp(-βN) for small N, to algebraic and thermally activated form, (α1 + α2N)-1 exp(-ΔE/kBT), as N increases. An intermediate range of apparent independence on N exists if α1 ≫ α2. This behavior is the analogue to the quantum Kramers (barrier crossing) problem, analyzed with respect to the barrier length.

Original languageEnglish
Pages (from-to)2790-2793
Number of pages4
JournalJournal of Physical Chemistry B
Volume104
Issue number13
Publication statusPublished - Apr 6 2000

Fingerprint

conduction
electron transfer
Electrons
Wave functions
Metals
Chemical activation
wave functions
activation
analogs
Temperature
temperature
metals
Hot Temperature

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Segal, D., Nitzan, A., Ratner, M. A., & Davis, W. B. (2000). Activated Conduction in Microscopic Molecular Junctions. Journal of Physical Chemistry B, 104(13), 2790-2793.

Activated Conduction in Microscopic Molecular Junctions. / Segal, Dvira; Nitzan, Abraham; Ratner, Mark A; Davis, William B.

In: Journal of Physical Chemistry B, Vol. 104, No. 13, 06.04.2000, p. 2790-2793.

Research output: Contribution to journalArticle

Segal, D, Nitzan, A, Ratner, MA & Davis, WB 2000, 'Activated Conduction in Microscopic Molecular Junctions', Journal of Physical Chemistry B, vol. 104, no. 13, pp. 2790-2793.
Segal, Dvira ; Nitzan, Abraham ; Ratner, Mark A ; Davis, William B. / Activated Conduction in Microscopic Molecular Junctions. In: Journal of Physical Chemistry B. 2000 ; Vol. 104, No. 13. pp. 2790-2793.
@article{45c368d6a5644cf4a74bdaf6a7f33c1a,
title = "Activated Conduction in Microscopic Molecular Junctions",
abstract = "We analyze the connection between the electron transfer (ET) rate through a given molecular bridge, and the conduction of a junction based on the same bridge between two metals. The Landauer relation between the conduction of a junction and its transmission properties is generalized to yield a relation between conduction and ET rate, including transfer processes dominated by thermal activation. The relation between the orders of magnitude of these observables involves an additional length parameter, of the order of the range of the donor wave function. We find that the functional dependence of these observables on the bridge length (N) and on the temperature (T) changes from the exponential and temperature independent, exp(-βN) for small N, to algebraic and thermally activated form, (α1 + α2N)-1 exp(-ΔE/kBT), as N increases. An intermediate range of apparent independence on N exists if α1 ≫ α2. This behavior is the analogue to the quantum Kramers (barrier crossing) problem, analyzed with respect to the barrier length.",
author = "Dvira Segal and Abraham Nitzan and Ratner, {Mark A} and Davis, {William B.}",
year = "2000",
month = "4",
day = "6",
language = "English",
volume = "104",
pages = "2790--2793",
journal = "Journal of Physical Chemistry B",
issn = "1520-6106",
publisher = "American Chemical Society",
number = "13",

}

TY - JOUR

T1 - Activated Conduction in Microscopic Molecular Junctions

AU - Segal, Dvira

AU - Nitzan, Abraham

AU - Ratner, Mark A

AU - Davis, William B.

PY - 2000/4/6

Y1 - 2000/4/6

N2 - We analyze the connection between the electron transfer (ET) rate through a given molecular bridge, and the conduction of a junction based on the same bridge between two metals. The Landauer relation between the conduction of a junction and its transmission properties is generalized to yield a relation between conduction and ET rate, including transfer processes dominated by thermal activation. The relation between the orders of magnitude of these observables involves an additional length parameter, of the order of the range of the donor wave function. We find that the functional dependence of these observables on the bridge length (N) and on the temperature (T) changes from the exponential and temperature independent, exp(-βN) for small N, to algebraic and thermally activated form, (α1 + α2N)-1 exp(-ΔE/kBT), as N increases. An intermediate range of apparent independence on N exists if α1 ≫ α2. This behavior is the analogue to the quantum Kramers (barrier crossing) problem, analyzed with respect to the barrier length.

AB - We analyze the connection between the electron transfer (ET) rate through a given molecular bridge, and the conduction of a junction based on the same bridge between two metals. The Landauer relation between the conduction of a junction and its transmission properties is generalized to yield a relation between conduction and ET rate, including transfer processes dominated by thermal activation. The relation between the orders of magnitude of these observables involves an additional length parameter, of the order of the range of the donor wave function. We find that the functional dependence of these observables on the bridge length (N) and on the temperature (T) changes from the exponential and temperature independent, exp(-βN) for small N, to algebraic and thermally activated form, (α1 + α2N)-1 exp(-ΔE/kBT), as N increases. An intermediate range of apparent independence on N exists if α1 ≫ α2. This behavior is the analogue to the quantum Kramers (barrier crossing) problem, analyzed with respect to the barrier length.

UR - http://www.scopus.com/inward/record.url?scp=0001195381&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001195381&partnerID=8YFLogxK

M3 - Article

VL - 104

SP - 2790

EP - 2793

JO - Journal of Physical Chemistry B

JF - Journal of Physical Chemistry B

SN - 1520-6106

IS - 13

ER -