This article considers the influence of the anode ( $r_{a}$ ) and cathode ( $r_{k}$ ) radius dimensions in the Geiger Muller counter chamber on its characteristics such as efficiency, measurement uncertainty, dead time, slope, plateau length, and aging. The article is of a theoretical and experimental nature. In the theoretical part of the article, the expression for the dependence of the electrical discharge parameters of a cylindrical electrode system is derived from various radius dimensions of the anode and cathode. For this purpose, the enlargement law of the probability was applied. The experimental part of the work was performed on the models of the Geiger Muller’s chamber of different radius dimensions of the anode and cathode. The chamber models (and insulation gas) were made to maintain the geometrical similarity of the commercially applicable chamber. In the first experimental part of this article, the effect of radioactive radiation was simulated with a fast pulse voltage, while real radioactive elements were used in the second experimental part. The testing has shown that the synergy of the stochastic volume effect of the breakdown voltage of the Ruffer–Kuilling mechanism and the corona of the plasma can significantly improve all tested characteristics.

中文翻译：

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通过优化阳极和阴极半径尺寸来改善盖革穆勒计数器特性

本文考虑了盖革穆勒计数器室中阳极 ( $r_{a}$ ) 和阴极 ( $r_{k}$ ) 半径尺寸对其效率、测量不确定度、死区时间、斜率、平台等特性的影响长度, 老化. 这篇文章具有理论和实验性质。在文章的理论部分，圆柱电极系统放电参数的相关性表达式是从阳极和阴极的各种半径尺寸推导出来的。为此，应用了概率放大定律。工作的实验部分是在不同半径尺寸的阳极和阴极的盖革穆勒室模型上进行的。制造室模型（和绝缘气体）以保持商业适用室的几何相似性。在本文的第一部分实验中，使用快速脉冲电压模拟了放射性辐射的影响，而在第二部分实验中使用了真实的放射性元素。测试表明，Ruffer-Kuilling 机制的击穿电压和等离子体电晕的随机体积效应的协同作用可以显着改善所有测试特性。