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Measurement of the temperature dependency of the plezoresistance coefficients in p-type silicon

机译:测量p型硅中抗压系数的温度依赖性

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Piezoresistance in silicon has been one of the major sensing principles in micro-electro-mechanical systems (MEMS). The principle is also a useful tool to characterize the induced stress in packages for convetional integrated circuits. The producers of MEMS have contiuously made smaller and more complex systems adapted to new and often harsh environments. This has led to the observation of deviations between the common theory for the piezoresistance in p-type silicon and the measured values. This deviation is linkde to temperature and doping effects. The most common model for the piezoresistance coefficients in silicon gives a dependency for both n-and p-type Silicon (Kanda.1982), while early results b Bir and Pikus (Bir and Pikus, 1974),indicate a deviation from this behavior in p-type silicon. The extent to which the deviations are due to the valid rande for the underlying theory being exceede is addressed in this project. In our study we have adapted the 4 point bending method to apply uniaxial stress to the p-type Si resistors. We minimize experimental uncertainties by using model resistors suited for the measurement. Resistors are made into SIMOX wafers homogeneously doped over a depth where the stress is simply related to geometry. Among different resistors the doping is varied over a large range and we have measured piezo-resistance coefficients in the temperature range 5 to 140 degrees Celsius. Using large beams we avoid the increasing errors associated with diminishing geometrical dimensions and errors associated with calibration of small weights etc. The beams are rotated by an angle of 22.5 degrees off the < 110 > crystal direction. This enables measurement of all three piezocoefficients with three resistors rotated 45 degrees with respect to the others.
机译:硅中的压阻一直是微机电系统(MEMS)的主要传感原理之一。该原理也是表征常规集成电路封装中感应应力的有用工具。 MEMS的生产商已经连续制作了更小,更复杂的系统,以适应新的且通常是恶劣的环境。这导致观察到p型硅压阻的通用理论与测量值之间存在偏差。该偏差与温度和掺杂效应有关。硅中最常见的压阻系数模型对n型和p型硅都具有依赖性(Kanda.1982),而Bir和Pikus的早期结果(Bir和Pikus,1974)表明,这种行为存在偏差。 p型硅。在本项目中解决了偏差的程度,该偏差是由于超出了基础理论的有效费用而导致的。在我们的研究中,我们采用了四点弯曲方法,以向p型Si电阻施加单轴应力。通过使用适合测量的模型电阻,我们将实验不确定性降至最低。在应力仅与几何形状有关的深度内,将电阻器制成均匀掺杂的SIMOX晶片。在不同的电阻器中,掺杂的变化范围很大,我们在5至140摄氏度的温度范围内测得了压阻系数。使用大光束,可以避免与减小几何尺寸相关的增加的误差以及与校准小砝码等相关的误差。光束从<110>晶体方向旋转22.5度。这样就可以通过三个相对于其他电阻旋转45度的电阻来测量所有三个压电系数。

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