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Kinetics of dry oxidation of silicon. I. Space‐charge‐limited growth

机译:硅干氧化动力学。I. 空间连字符;电荷连字符;有限增长

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Recent studies of the kinetics of dry oxidation of silicon have shown that the time dependence is more precisely described by a power‐of‐time law than by a linear‐parabolic expression. This study shows the power law to be correct. This follows from the interdependence of the experimental linear and parabolic rate constants. The linear‐parabolic expression appears to be equivalent to the first terms of a series expansion of the power‐of‐time law. The omission of higher‐order terms gives systematic deviations known as the ‘‘anomalous’’ initial regime. An ionic space‐charge‐limited growth model is introduced, based on the classical oxidation theory of Wagner and accounting for the effect of internal fields on conduction. First, it is shown that both the magnitude of ionic and electronic conduction are sufficiently high, which is illustrated for an oxide layer of 300 A˚ growing at 870 °C. It is made plausible that the oxide‐fixed charge density,Qf, is sufficiently large at high temperatures to cause large internal fields. An expression is derived which accounts for the mutual Coulomb repulsion of charges in very dense space‐charge layers. The excellent fit of the derived expression and its application will be discussed in part II.
机译:最近对硅干氧化动力学的研究表明,时间依赖性更精确地用幂&连字符;连字符时间定律来描述,而不是用线性&连字符;抛物线表达式来描述。这项研究表明幂律是正确的。这是由于实验线性速率常数和抛物线速率常数的相互依赖性。线性&连字符;抛物线表达式似乎等价于&连字符的&连字符&连字符;时间定律的级数展开的第一项。省略高阶项会产生系统性偏差,称为“异常”初始状态。基于Wagner的经典氧化理论,并考虑了内部场对传导的影响,引入了离子空间&连字符;电荷&连字符;有限生长模型。首先,表明离子传导和电子传导的幅度都足够高,这说明在870°C下生长的氧化层为300 A&ring。 氧化物固定电荷密度 Qf 在高温下足够大以引起较大的内场是合理的。推导了一个表达式,该表达式解释了非常密集的空间中电荷的相互库仑排斥&连字符电荷层。派生表达式的完美拟合及其应用将在第二部分讨论。

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