计算场发射系统尖端形状系数的半经验公式
A SEMIEMPIRICAL FORMULA FOR THE SHAPE FACTOR OF EMISSION TIP IN GENERAL FIELDE MISSION SYSTEM
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摘要: 本文提出了一般场发射系统尖端形状系数的计算公式:0.2/[(r0+h)ln(2h/r0)]。用该公式和数值计算法以及D.Selidovkin,W.Swanson和P.Dyke等人提出的相应公式,分别对尖端呈半球形、椭球形、旋转抛物形和双曲形四种场发射系统的值进行了计算和比较。结果表明,用本文的公式所得的值与电子计算机的数值计算结果基本上是一致的。
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关键词:
- 场发射; 系统发射尖端; 尖端形状系数
Abstract: A new formula (0.2/[(r0+h)ln (2h/r0)]) which is used to determine the shape factor of field emission tip is reported. By using of this formula, the calculation of with the tip shape of half spheroid, rotational ellipsoid, rotational paraboloid and rotational hyperboloid have been made and compared with the calculated value of by D. Selidovkin, W. Swanson and P. Dyke and numerical method. It is shown that the value of calculated by using of the new formula is consistent with the result of calculation by computer and is more precise than that calculated by using of other method. -
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