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Atomic Emission Spectroscopy: Lab01:29

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The Murphy-Good plot: a better method of analysing field emission data.

Richard G Forbes1

  • 1Advanced Technology Institute & Department of Electrical and Electronic Engineering, University of Surrey, Guildford, Surrey GU2 7XH, UK.

Royal Society Open Science
|January 7, 2020
PubMed
Summary

The Murphy-Good (MG) plot offers a more accurate method for analyzing field electron emission (FE) data compared to traditional Fowler-Nordheim (FN) plots. This new approach simplifies the extraction of crucial emission characterization parameters.

Keywords:
Fowler–Nordheim plotsMurphy–Good plotsMurphy–Good theorycurrent–voltage data interpretationfield electron emissionfield emitter characterization

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Area of Science:

  • Materials Science
  • Physics
  • Surface Science

Background:

  • Traditional analysis of field electron emission (FE) current-voltage data relies on Fowler-Nordheim (FN) plots, established in 1929.
  • A theoretical flaw identified in the 1950s led to curved theoretical FN plots, complicating parameter extraction.
  • Modern mathematical understanding has enabled the development of the Murphy-Good (MG) plot for FE data analysis.

Purpose of the Study:

  • To introduce and explain the theory behind the Murphy-Good (MG) plot for analyzing field electron emission (FE) data.
  • To highlight the advantages of MG plots over traditional FN plots for precise characterization parameter extraction.
  • To address broader challenges in interpreting FE current-voltage data, including the 'smooth planar emitter methodology'.

Main Methods:

  • Utilizing the mathematical relationship of the MG plot: ln(Im/Vm^2) vs 1/Vm, where η ≅ 9.836239 (eV/ϕ)^1/2.
  • Applying modern theoretical predictions that MG plots should be nearly linear.
  • Extracting characterization parameters from experimental FE data using the MG plot framework.

Main Results:

  • Theoretical MG plots are predicted to be almost exactly straight, facilitating easier and more precise parameter extraction.
  • The MG plot method simplifies the analysis of field electron emission (FE) current-voltage data.
  • This approach aids in overcoming difficulties associated with interpreting FE data, particularly when compared to FN plots.

Conclusions:

  • The Murphy-Good (MG) plot provides a more accurate and straightforward method for analyzing field electron emission (FE) data.
  • MG plots should be considered as a replacement for traditional Fowler-Nordheim (FN) plots in FE research and technology.
  • Accurate extraction of FE characterization parameters is crucial for advancing FE technology.