Van der pauw Method 12 It is known

Van der pauw Method 周璐鹿 程楠 刘雪颖

课题 12：范德堡方法 It is known that conductivity of a material can be measured independently of the sample shape, as long as the sample has one border (no holes). To what extent can such a method be applied? Investigate and explain such measurements if the sample has holes. 任意形状材料的电导率可以用范德堡方法测量，只要 材料只有一个边界（没有洞）。 这个方法在什么情况下可以被应用？ 探索和解释在材料有洞情况下的测量。

二. 范德堡方法测硅片电阻率 （1）实验数据(同一硅片，探针放在不同位置) �� U 1/V I 1/A R 1/Ω U 2/V I 2/A R 2/Ω σ/Ω 1 0. 485 0. 0140 34. 64 0. 076 0. 0054 14. 07 103. 3 2 0. 435 0. 0187 23. 26 0. 384 0. 0183 20. 98 100. 2 3 0. 539 0. 0150 35. 93 0. 188 0. 0138 13. 62 103. 9 4 0. 172 0. 0155 11. 10 0. 748 0. 0186 40. 22 102. 0 5 0. 419 0. 0194 21. 59 0. 336 0. 0143 23. 50 102. 1 6 0. 559 0. 0129 43. 33 0. 196 0. 0201 9. 75 101. 3 7 1. 236 0. 0126 98. 10 0. 034 0. 0191 1. 78 104. 3 硅片厚度d=0. 500 mm

对实验结果的解释 范德堡方程在有孔的情况下变为范德堡不等式： 图片来自： Determination of the Riemann modulus and sheet resistance of a sample with a hole by the van der Pauw method， K. Szymański, K. Łapiński and J. L. Cieśliński

参考文献 • A method of measure the resistivity and hall efficient on lamellae of arbitrary shape , van der PAUW • www. wikipedia. com • Determination of the Riemann modulus and sheet resistance of a sample with a hole by the van der Pauw method， K. Szymański, K. Łapiński and J. L. Cieśliński