I-V curve investigation with regression methods

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


Currently, field electron emission is an indispensable tool for studying advanced materials. Analysis of the current-voltage (I-V ) dependences allows us to derive information about some characteristics of the field-emission cathode (i.e., work function or field enhancement factor values). It is known that in the Fowler-Nordheim coordinates I-V curve is linear. A linear approximation can be constructed with the method of ordinary least squares (OLS). OLS is one of the basic methods of regression analysis used to estimate unknown parameters of regression models. However, reliable confidence intervals for the regression coefficients can only be easily obtained if the model residuals are normally distributed. This is impossible to assume about the log-transformed I-V curve. The scope of this paper is modeling of I-V dependence. The random errors of I measurements are normally distributed. We have constructed estimations of the coefficients in Fowler-Nordheim law (i.e. A and B) using methods of linear and nonlinear regression and shown that those approaches give different results. Errors of determining of the coefficients A and B are presented.

Original languageEnglish
Title of host publication2016 14th International Baltic Conference on Atomic Layer Deposition, BALD 2016 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages3
ISBN (Electronic)9781509034161
StatePublished - 24 Mar 2017
Event14th International Baltic Conference on Atomic Layer Deposition, BALD 2016 - St. Petersburg, Russian Federation
Duration: 1 Oct 20163 Oct 2016


Conference14th International Baltic Conference on Atomic Layer Deposition, BALD 2016
CountryRussian Federation
CitySt. Petersburg

Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Surfaces, Coatings and Films
  • Atomic and Molecular Physics, and Optics
  • Surfaces and Interfaces
  • Process Chemistry and Technology
  • Electrochemistry


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