Murphy-Good图：场发射数据分析的一种较好方法
The Murphy-Good plot: a better method of analysing field emission data
摘要：
测量的场电子发射（FE）电流-电压Im（Vm）数据传统上通过Fowler-Nordheim（FN）图分析，如ln{Im/（Vm）**2}对1/Vm。自1929年以来一直在使用，因为在1928年FN预测它们将是线性的。在20世纪50年代，FN的思想中的一个错误被发现。墨菲和古德（MG）修正的理论使理论FN图稍微弯曲。当试图从拟合到实验FN图的直线中提取排放特征参数的精确值时，这会造成困难。从2006年起，数学理解的提高使一种新的FE数据图形式成为可能，即“墨菲-古德图”。这绘制了ln{Im/（Vm）**（2-（η/6）}与1/Vm的关系，其中η仅取决于局部功函数。现代（“21世纪”）MG理论预测理论MG图应该是“几乎完全”直的。这使得从理想I_m（V_m）数据中精确提取定义明确的表征参数变得容易得多。本文给出了从MG图中提取表征参数所需的理论，将其设置在解释FE Im（Vm）数据的更广泛困难的框架内（其中，使用“平面发射近似”）。仔细使用MG图也可以帮助解决FE技术文献中的其他问题。有人认为MG图现在应该取代FN图。
英文摘要：
Measured field electron emission (FE) current-voltage Im(Vm) data are traditionally analysed via Fowler-Nordheim (FN) plots, as ln{Im/(Vm)**2} vs 1/Vm. 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 plots ln{Im/(Vm)**(2-(η/6)} vs 1/Vm, where η depends only on local work function. Modern ("21st 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 I_m(V_m) 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 Im(Vm) data (among them, use of the "planar emission approximation"). Careful use of MG plots could also help remedy other problems in FE technological literature. It is argued MG plots should now supersede FN plots.
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