Forbes Richard G
Advanced Technology Institute & Department of Electrical and Electronic Engineering, University of Surrey, Guildford, Surrey GU2 7XH, UK.
R Soc Open Sci. 2019 Dec 11;6(12):190912. doi: 10.1098/rsos.190912. eCollection 2019 Dec.
Measured field electron emission (FE) current-voltage ( ) data are traditionally analysed via Fowler-Nordheim (FN) plots, as versus 1/ . These have been used since 1929, because in 1928 FN predicted they would be linear. In the 1950s, a mistake in FN's thinking was found. Corrected theory by Murphy and Good (MG) made theoretical FN plots slightly curved. This causes difficulties when attempting to extract precise values of emission characterization parameters from straight lines fitted to experimental FN plots. Improved mathematical understanding, from 2006 onwards, has now enabled a new FE data-plot form, the 'Murphy-Good plot'. This plot has the form versus 1/ , where ≅ 9.836239 (eV/) and is the local work function. Modern (twenty-first century) MG theory predicts that a theoretical MG plot should be 'almost exactly' straight. This makes precise extraction of well-defined characterization parameters from ideal ( ) data much easier. This article gives the theory needed to extract characterization parameters from MG plots, setting it within the framework of wider difficulties in interpreting FE ( ) data (among them, use of 'smooth planar emitter methodology'). Careful use of MG plots could also help remedy other problems in FE technological literature. It is suggested that MG plots should replace FN plots.
传统上,测得的场电子发射(FE)电流-电压( )数据是通过福勒-诺德海姆(FN)图进行分析的,即 与1/ 的关系图。自1929年以来一直使用这些图,因为在1928年FN预测它们会是线性的。在20世纪50年代,发现了FN理论中的一个错误。墨菲和古德(MG)的修正理论使理论FN图略有弯曲。这在试图从拟合实验FN图的直线中提取发射表征参数的精确值时会带来困难。从2006年起,数学理解的改进使得一种新的FE数据图形式——“墨菲-古德图”成为可能。这种图的形式是 与1/ 的关系图,其中 约为9.836239(电子伏特/ ), 是局部功函数。现代(21世纪)MG理论预测,理论MG图应该“几乎完全”是直的。这使得从理想的( )数据中精确提取定义明确的表征参数变得更加容易。本文给出了从MG图中提取表征参数所需的理论,并将其置于解释FE ( )数据的更广泛困难的框架内(其中包括“光滑平面发射体方法”的使用)。谨慎使用MG图也有助于解决FE技术文献中的其他问题。建议MG图应取代FN图。