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Published:1980
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[1]许居衍,,,,,,,,,王立模.非均匀掺杂层的载流子平均迁移率及其应用[J].电子学报,1980(03):1-13.
Xu Ju-yan Wang Li-mo. Average Mobility of Carriers in the Nonhomogeneous Doped Layers[J]. Acta Electronica Sinica, 1980, (3): 1-13.
本文建立了非均匀次掺杂层载流子平均迁移率与平均电导的普遍关系。在假定全离化(γ=1)的条件下
推导出了任何半导体中余误差和高斯分布下次掺杂层载流子平均迁移率与掺杂层参数之间的关系式
并利用Irvin曲线
具体计算了硅扩散层的平均迁移率与表面浓度的关系曲线
讨论和分析了用平均迁移率表示次扩散层的方块电阻的公式。分析发现
当(C
S
/C
B
)
>
10时
余误差和高斯分布下全扩散层的载流子平均迁移率只与表面浓度有关
并可用一近似公式表示
即完成了直接由方块电阻的测量值确定表面浓度的曲线。考虑到扩散层的不均匀性
推导出了用平均迁移率表示的集成电路挤压电阻器和晶体管基极电阻的设计公式。
The general relationship between average mobility of carries and average conductivity in a doped layer with an arbitrary impurity distribution has been established.Assuming that all impurities have been ionized
the formulas of the relationship between average mobility of carriers and parameters of doping in the sub-diffused layers have been derived for complementary error and Gaussian impurity concentration distribution. The formulas can be extensively used to any semiconductor materials. The average mobility value of carriers in the Si sub-diffused layers as a function oE surface concentration have been calculated by means of Irvin’s curves. The results are shown graphically for engineering application. The expressions for sheet resistivity of sub-diffused layers in terms of average mobility of carriers are analysed and discussed. It is found that
if the surface concentration is one order of magnitude larger than the background concentration
the average mobility of carriers in all-diffused layers depends only on the surface concentration
and it can be approximately represented byThe curves which are directly used to determine surface concentration from measured sheet resistivity-value are achieved. Considering the nonhomogeneous diffused layers
the design formulas for squeezed resistance in integrated circuits and base resistance in transistors are represented by average mobility of carriers.
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