Fast Data Sorting with Modified Principal Component Analysis to Distinguish Unique Single Molecular Break Junction Trajectories

J. M. Hamill, X. T. Zhao, G. Mészáros, M. R. Bryce, and M. Arenz
Phys. Rev. Lett. 120, 016601 – Published 2 January 2018
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Abstract

A simple and fast analysis method to sort large data sets into groups with shared distinguishing characteristics is described and applied to single molecular break junction conductance versus electrode displacement data. The method, based on principal component analysis, successfully sorts data sets based on the projection of the data onto the first or second principal component of the correlation matrix without the need to assert any specific hypothesis about the expected features within the data. This is an improvement on the current correlation matrix analysis approach because it sorts data automatically, making it more objective and less time consuming, and our method is applicable to a wide range of multivariate data sets. Here the method is demonstrated on two systems. First, it is demonstrated on mixtures of two molecules with identical anchor groups and similar lengths, but either a π (high conductance) or a σ (low conductance) bridge. The mixed data are automatically sorted into two groups containing one molecule or the other. Second, it is demonstrated on break junction data measured with the π bridged molecule alone. Again, the method distinguishes between two groups. These groups are tentatively assigned to different geometries of the molecule in the junction.

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  • Received 21 June 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.016601

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

J. M. Hamill1,*, X. T. Zhao2, G. Mészáros3, M. R. Bryce2, and M. Arenz1

  • 1Department of Chemistry and Biochemistry, University of Bern, Freiestrasse 3, CH-3012 Bern, Switzerland
  • 2Department of Chemistry, Durham University, Durham DH1 3LE, United Kingdom
  • 3Research Centre for Natural Sciences, Hungarian Academy of Sciences, Magyar Tudósok Körútja 2, H-1117 Budapest, Hungary

  • *joseph.hamill@gmail.com

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Issue

Vol. 120, Iss. 1 — 5 January 2018

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