CN102565143B - On-line Testing Structure of Residual Stress of Polysilicon Material - Google Patents

On-line Testing Structure of Residual Stress of Polysilicon Material Download PDF

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CN102565143B
CN102565143B CN201210003497.3A CN201210003497A CN102565143B CN 102565143 B CN102565143 B CN 102565143B CN 201210003497 A CN201210003497 A CN 201210003497A CN 102565143 B CN102565143 B CN 102565143B
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polysilicon
pointer
deflection
pointers
residual stress
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CN102565143A (en
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李伟华
张卫青
蒋明霞
周再发
刘海韵
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Southeast University
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01LSEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
    • H01L22/00Testing or measuring during manufacture or treatment; Reliability measurements, i.e. testing of parts without further processing to modify the parts as such; Structural arrangements therefor
    • H01L22/30Structural arrangements specially adapted for testing or measuring during manufacture or treatment, or specially adapted for reliability measurements
    • H01L22/34Circuits for electrically characterising or monitoring manufacturing processes, e. g. whole test die, wafers filled with test structures, on-board-devices incorporated on each die, process control monitors or pad structures thereof, devices in scribe line
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L5/00Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
    • G01L5/0047Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes measuring forces due to residual stresses

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Abstract

本发明公开了一种多晶硅材料残余应力在线测试结构,该测试结构包括三个基本结构相同的多晶硅偏转指针,三个多晶硅偏转指针以“品”字型放置,所有指针都指向中心,通过指针在残余应力作用下初始偏转方向的控制使得间距保持和间距变化能够有效地反应残余应力的大小和性质;该测试结构的制作工艺简单,没有特殊加工要求;测试时,采用热驱动,测量参数为热驱动前后驱动梁的电阻。本发明在使用过程中,虽然采用热膨胀原理,但测量计算并不需要热膨胀系数,避免了在线测试热膨胀系数时的误差对测量结果的影响。本发明具有测试结构简单、电信号加载和测量简便、计算方法稳定等优点。

Figure 201210003497

The invention discloses an on-line test structure for polysilicon material residual stress. The test structure includes three polysilicon deflection pointers with the same basic structure. The three polysilicon deflection pointers are placed in the shape of "品". The control of the initial deflection direction under the action of residual stress makes the spacing maintenance and spacing change can effectively reflect the magnitude and nature of the residual stress; the manufacturing process of the test structure is simple, and there is no special processing requirement; the test is driven by heat, and the measurement parameters are thermal The resistance of the driven beam before and after driving. During the use of the present invention, although the principle of thermal expansion is adopted, the thermal expansion coefficient is not required for measurement and calculation, which avoids the influence of errors during online testing of the thermal expansion coefficient on the measurement results. The invention has the advantages of simple test structure, convenient loading and measurement of electrical signals, stable calculation method and the like.

Figure 201210003497

Description

多晶硅材料残余应力在线测试结构On-line Testing Structure of Residual Stress of Polysilicon Material

技术领域 technical field

本发明涉及一种多晶硅材料残余应力在线测试结构,属于微机电系统(MEMS)材料参数在线测试技术领域。The invention relates to an on-line testing structure for polysilicon material residual stress, and belongs to the technical field of on-line testing of micro-electromechanical systems (MEMS) material parameters.

背景技术 Background technique

微机电器件的性能与材料参数有密切的关系,由于加工过程的影响,一些材料参数将产生变化,这些由加工工艺所导致的不确定因素,将使得器件设计与性能预测出现不确定和不稳定的情况。材料参数在线测试目的就在于能够实时地测量由具体工艺制造的微机电器件材料参数,对工艺的稳定性进行监控,并将参数反馈给设计者,以便对设计进行修正。因此,不离开加工环境并采用通用设备进行的在线测试成为工艺监控的必要手段。在线测试结构通常采用电学激励和电学测量的方法,通过电学量数值以及针对性的计算方法得到材料的物理参数。The performance of microelectromechanical devices is closely related to material parameters. Due to the influence of processing, some material parameters will change. These uncertain factors caused by processing technology will make device design and performance prediction uncertain and unstable. Case. The purpose of online testing of material parameters is to measure the material parameters of MEMS devices manufactured by a specific process in real time, monitor the stability of the process, and feed back the parameters to the designer so that the design can be corrected. Therefore, online testing without leaving the processing environment and using general-purpose equipment has become a necessary means of process monitoring. The online test structure usually adopts the method of electrical excitation and electrical measurement, and the physical parameters of the material are obtained through the electrical quantity value and targeted calculation methods.

多晶硅是制造微机电器件结构的重要的和基本的材料,通常采用化学气相沉积(CVD)方法制造得到。多晶硅材料在制作过程中将产生内应力即存在残余应力。残余应力分为压应力和张应力。当微机电结构被释放后,残余应力将导致结构出现初始变形或者产生对其他材料参数的影响,产生实际性能对设计性能的偏离。Polysilicon is an important and basic material for the manufacture of micro-electromechanical device structures, and is usually produced by chemical vapor deposition (CVD). Polysilicon material will generate internal stress during the manufacturing process, that is, residual stress exists. Residual stress is divided into compressive stress and tensile stress. When the MEMS structure is released, the residual stress will lead to the initial deformation of the structure or have an impact on other material parameters, resulting in the deviation of the actual performance from the design performance.

发明内容 Contents of the invention

发明目的:为了克服现有技术中存在的不足,本发明提供一种多晶硅材料残余应力的在线测试结构。Purpose of the invention: In order to overcome the deficiencies in the prior art, the present invention provides an online testing structure for polysilicon material residual stress.

技术方案:为实现上述目的,本发明的一种多晶硅材料残余应力在线测试结构,包括三个多晶硅偏转指针,三个多晶硅偏转指针分别包括多晶硅驱动梁、多晶硅指针和锚区;三个多晶硅偏转指针呈“品”字型放置,多晶硅指针都指向中心;左下部多晶硅偏转指针和右下部多晶硅偏转指针结构完全相同,以测试结构竖直中心线左右镜向,上部多晶硅偏转指针位于中心,指针方向与下部的左右多晶硅偏转指针相反;整个测试结构制作在绝缘衬底上,除锚区及其上的金属电极外,在结构被释放后,驱动梁和指针均处于悬浮状态,以便于释放残余应力并自由伸缩与偏转。Technical solution: In order to achieve the above object, a polysilicon material residual stress online testing structure of the present invention includes three polysilicon deflection pointers, and the three polysilicon deflection pointers respectively include a polysilicon drive beam, a polysilicon pointer and an anchor area; three polysilicon deflection pointers It is placed in the shape of "品", and the polysilicon pointers point to the center; the structure of the polysilicon deflection pointer at the lower left and the lower right is exactly the same, and the vertical center line of the test structure mirrors left and right. The upper polysilicon deflection pointer is at the center, and the direction of the pointer is the same as The left and right polysilicon deflection pointers in the lower part are opposite; the entire test structure is fabricated on an insulating substrate, except for the anchor region and the metal electrodes on it. Free expansion and deflection.

左、中、右三个指针端部间距受多晶硅残余应力作用不同,左-中指针端部间距不受多晶硅残余应力的影响,中-右指针端部间距随多晶硅残余应力的大小和性质发生变化。The distance between the ends of the left, middle and right pointers is affected by the polysilicon residual stress differently, the distance between the left-middle pointer ends is not affected by the polysilicon residual stress, and the distance between the middle-right pointer ends changes with the size and nature of the polysilicon residual stress .

所述左下部多晶硅偏转指针中,驱动梁一端的锚区和指针一端的锚区上分别制作有金属电极;所述右下部多晶硅偏转指针中,驱动梁一端的锚区和指针一端的锚区上分别制作有金属电极;所述上部多晶硅偏转指针中,仅在指针一端的锚区上制作有金属电极。In the lower left polysilicon deflection pointer, metal electrodes are formed on the anchor area at one end of the drive beam and the anchor area at one end of the pointer; in the lower right polysilicon deflection pointer, the anchor area at one end of the drive beam and the anchor area at one end of the pointer Metal electrodes are made respectively; in the upper polysilicon deflection pointer, the metal electrode is only made on the anchor area at one end of the pointer.

所述三个多晶硅偏转指针的多晶硅驱动梁长度相等。The polysilicon driving beams of the three polysilicon deflection pointers have equal lengths.

有益效果:本发明的多晶硅材料残余应力在线测试结构,通过将三个基本结构相同的多晶硅偏转指针呈“品”字型布置,并利用这些指针所受多晶硅残余应力影响相同的特点,使得残余应力的大小与性质能够有效地进行测量,测试方法是利用电流加热偏转指针的驱动梁使其膨胀,并进而推动指针偏转,测量残余应力对偏转量的影响。采用本发明对多晶硅残余应力进行测试,方法简单、测试设备要求低,加工过程与微机电器件同步,没有特殊加工要求,完全符合在线测试的要求。本发明中的计算方法仅限于简单数学公式,虽然采用热膨胀原理,但测量计算并不需要热膨胀系数,避免了在线测试热膨胀系数时的误差对测量结果的影响,具有测试结构简单、电信号加载和测量简便、计算方法稳定等优点。Beneficial effects: the polysilicon material residual stress online testing structure of the present invention arranges three polysilicon deflection pointers with the same basic structure in the shape of a "pin", and utilizes the same characteristic that these pointers are affected by the polysilicon residual stress to make the residual stress The size and properties of can be effectively measured. The test method is to use current to heat the driving beam of the deflection pointer to make it expand, and then push the pointer to deflect, and measure the influence of residual stress on the deflection. Using the invention to test the residual stress of polysilicon, the method is simple, the requirements for testing equipment are low, the processing process is synchronized with micro-electromechanical devices, there is no special processing requirement, and it fully meets the requirements of on-line testing. The calculation method in the present invention is limited to simple mathematical formulas. Although the principle of thermal expansion is adopted, the thermal expansion coefficient is not required for measurement and calculation, which avoids the influence of errors on the measurement results when the thermal expansion coefficient is tested online, and has the advantages of simple test structure, electrical signal loading and It has the advantages of simple measurement and stable calculation method.

附图说明 Description of drawings

图1为本发明的多晶硅材料残余应力在线测试结构的示意图;Fig. 1 is the schematic diagram of polysilicon material residual stress online test structure of the present invention;

图2为图1的A-A剖面图。FIG. 2 is a cross-sectional view along line A-A of FIG. 1 .

具体实施方式 Detailed ways

下面结合附图对本发明作更进一步的说明。The present invention will be further described below in conjunction with the accompanying drawings.

如图1和图2所示,本发明的多晶硅材料残余应力在线测试结构,包括三个基本结构相同的偏转指针,每个偏转指针包括一个水平的驱动梁101、103、105、一个与驱动梁101、103、105垂直的指针102、104、106和两个固定在衬底上的锚区构成,两个锚区分别固定了驱动梁101、103、105的一端和指针102、104、106的一端。测试结构的主体由多晶硅材料制造而成。As shown in Fig. 1 and Fig. 2, the polysilicon material residual stress on-line testing structure of the present invention comprises three deflection pointers with the same basic structure, each deflection pointer comprising a horizontal drive beam 101, 103, 105, a drive beam connected to the drive beam 101, 103, 105 are composed of vertical pointers 102, 104, 106 and two anchor regions fixed on the substrate. one end. The main body of the test structure is fabricated from polysilicon material.

三个多晶硅偏转指针呈“品”字型放置,指针102、104、106都指向中心;上部的多晶硅偏转指针包括驱动梁101,指针102,锚区107、108以及锚区108之上的金属电极118;左下部的多晶硅偏转指针包括驱动梁103,指针104,锚区109、110以及锚区上的金属电极113、114;右下部的多晶硅偏转指针包括驱动梁105,指针106,锚区111、112以及锚区上的金属电极115、116。左下部和右下部的多晶硅偏转指针完全相同,以指针102的中线左右对称放置,指针102的中线是整个测试结构的竖直中心线。整个测试结构制作在绝缘衬底117上,除锚区及其上的金属电极外,在结构被释放后,驱动梁101、103、105和指针102、104、106均处于悬浮状态,以便于这些部分释放残余应力并可自由伸缩与偏转。The three polysilicon deflection pointers are placed in the shape of "pin", and the pointers 102, 104, and 106 all point to the center; the upper polysilicon deflection pointer includes the driving beam 101, the pointer 102, the anchor areas 107, 108 and the metal electrodes on the anchor area 108 118; the polysilicon deflection pointer on the lower left includes a drive beam 103, pointer 104, anchor regions 109, 110 and metal electrodes 113, 114 on the anchor region; the polysilicon deflection pointer on the lower right includes a drive beam 105, pointer 106, anchor regions 111, 112 and metal electrodes 115, 116 on the anchor region. The polysilicon deflection pointers at the lower left and lower right are exactly the same, and are placed symmetrically with respect to the center line of the pointer 102, which is the vertical center line of the entire test structure. The whole test structure is made on the insulating substrate 117, except the anchor region and the metal electrodes on it, after the structure is released, the drive beams 101, 103, 105 and pointers 102, 104, 106 are all in a suspended state, so that these Partial release of residual stress and free expansion and deflection.

驱动梁101、103、105的长度均为L2,在结构释放后该梁将因残余应力而发生初始伸缩并进而推动指针102、104和106绕其旋转轴偏转,因为基本结构相同,因此因残余应力而产生的偏转角相同。驱动梁101、103、105垂直方向的中心线到相应锚区108、110、111的距离为L5The lengths of the driving beams 101, 103, 105 are all L2 . After the structure is released, the beams will initially expand and contract due to the residual stress, and then push the pointers 102, 104, and 106 to deflect around their rotation axes. Because the basic structures are the same, the The deflection angle due to residual stress is the same. The distance from the vertical centerline of the drive beams 101 , 103 , 105 to the corresponding anchoring areas 108 , 110 , 111 is L 5 .

指针104、106长度均为L1;指针102长度等于L1+L4,L4为指针102和指针104、106在垂直方向的重叠长度,远小于L1。指针102的头部为一宽度较大的矩形,宽度增加的目的是为了使锚区110和111之间保持一个较大的距离,方便测试探针的使用。The lengths of pointers 104 and 106 are both L 1 ; the length of pointer 102 is equal to L 1 +L 4 , and L 4 is the overlapping length of pointer 102 and pointers 104 and 106 in the vertical direction, which is much smaller than L 1 . The head of the pointer 102 is a rectangle with a larger width, and the purpose of increasing the width is to maintain a larger distance between the anchor regions 110 and 111 to facilitate the use of test probes.

指针102和104的设计间距为g1,指针102和106的设计间距为g2The designed spacing between the pointers 102 and 104 is g 1 , and the designed spacing between the pointers 102 and 106 is g 2 .

在锚区108、109、110、111和112上分别制作了金属电极118、113、114、115和116,其中,金属电极114一直延伸到驱动梁103上,金属电极115一直延伸到驱动梁105上,使得加热驱动工作时,有效的发热区域长度为L2-L3Metal electrodes 118, 113, 114, 115 and 116 are fabricated on the anchor regions 108, 109, 110, 111 and 112 respectively, wherein the metal electrode 114 extends to the driving beam 103, and the metal electrode 115 extends to the driving beam 105. On the above, when the heating drive works, the effective heating area length is L 2 -L 3 .

本发明的多晶硅材料残余应力在线测试结构,原理如下:The polysilicon material residual stress on-line testing structure of the present invention, principle is as follows:

因为多晶硅所存在的残余应力将使驱动梁101、103在结构释放后产生初始长度变化,进而使指针102、104发生初始偏转。但是,因为在相同性质与大小的残余应力作用下,指针102和104产生相反的绕轴旋转方向的偏转且偏转角数值相同,因此指针端部的间距可以保持不变,仍为g1。类似的,残余应力将使驱动梁105在结构释放后产生初始长度变化,进而使指针106发生初始偏转,偏转方向与指针104相反。因为指针102和指针106的绕轴旋转方向相同,结果使实际间距因残余应力而偏离设计值g2,如果残余应力为压应力,则实际间距小于g2,如果残余应力为张应力,则实际间距大于g2Because the residual stress existing in the polysilicon will cause the driving beams 101, 103 to produce an initial length change after the structure is released, and then cause the pointers 102, 104 to initially deflect. However, because the pointers 102 and 104 are deflected in opposite directions around the axis and have the same deflection angle under the action of residual stresses of the same nature and magnitude, the distance between the pointer ends can remain unchanged, which is still g 1 . Similarly, the residual stress will cause the drive beam 105 to undergo an initial change in length after the structure is released, thereby causing an initial deflection of the pointer 106 in a direction opposite to that of the pointer 104 . Because pointer 102 and pointer 106 rotate in the same direction, the actual distance deviates from the design value g 2 due to residual stress. If the residual stress is compressive stress, the actual distance is less than g 2 . If the residual stress is tensile stress, the actual The spacing is greater than g 2 .

本发明采用热驱动偏转指针旋转工作方式。在金属电极113和金属电极114之间施加电流,使驱动梁103中L2-L3部分发生热膨胀,推动指针104顺时针偏转,当指针104的尖端与指针102发生接触时,指针104尖端顺时针偏转了距离g1。在金属电极115和金属电极116之间施加电流,使驱动梁105中L2-L3部分发生热膨胀,推动指针106逆时针偏转,假设当指针106的尖端与指针102发生接触时,指针106尖端逆时针偏转的实际距离为g。显然,因为残余应力的作用,106尖端偏转的距离g将不等于g2。如果发生g等于g2的情况,则意味着残余应力为0。The invention adopts the working mode of heat-driven deflection pointer rotation. A current is applied between the metal electrode 113 and the metal electrode 114, so that the part L2 - L3 in the drive beam 103 undergoes thermal expansion, and the pointer 104 is pushed to deflect clockwise. When the tip of the pointer 104 contacts the pointer 102, the tip of the pointer 104 clockwise The hour hand is deflected by a distance g 1 . A current is applied between the metal electrode 115 and the metal electrode 116, so that the part L2 - L3 in the driving beam 105 undergoes thermal expansion, and the pointer 106 is pushed to deflect counterclockwise. The actual distance deflected counterclockwise is g. Obviously, due to the effect of residual stress, the deflection distance g of the tip of 106 will not be equal to g 2 . If it happens that g is equal to g2 , it means that the residual stress is 0.

本发明的测试结构采用基本的微机电加工工艺完成,下面以典型的两层多晶硅微机电表面加工工艺说明测试结构的制作过程。The test structure of the present invention is completed by basic micro-electro-mechanical processing technology, and the manufacturing process of the test structure will be described below with a typical two-layer polysilicon micro-electro-mechanical surface processing process.

选择N型半导体硅片,热生长100纳米厚度的二氧化硅层,通过低压化学气相沉积工艺沉积一层500纳米厚度的氮化硅,形成绝缘衬底117。采用低压化学气相沉积工艺沉积一层300纳米的多晶硅并进行N型重掺杂使该层多晶硅成为导体,通过光刻工艺刻蚀形成锚区的一部分。使用低压化学气相沉积工艺沉积2000纳米厚度的磷硅玻璃(PSG),通过光刻工艺形成锚区的图形。利用低压化学气相沉积工艺淀积一层2000纳米厚度的多晶硅,对多晶硅进行N型重掺杂,光刻工艺形成多晶硅材料残余应力在线测试结构图形,锚区的厚度为两次多晶硅的厚度之和。采用剥离工艺在锚区上形成金属电极图形。最后通过腐蚀磷硅玻璃释放结构。Select an N-type semiconductor silicon wafer, thermally grow a silicon dioxide layer with a thickness of 100 nanometers, and deposit a layer of silicon nitride with a thickness of 500 nanometers by a low-pressure chemical vapor deposition process to form an insulating substrate 117 . A layer of 300nm polysilicon is deposited by a low-pressure chemical vapor deposition process and N-type heavy doping is performed to make the layer of polysilicon a conductor, and a part of the anchor region is formed by etching by a photolithography process. Phospho-silicate glass (PSG) was deposited with a thickness of 2000 nm using a low-pressure chemical vapor deposition process, and the pattern of the anchor region was formed by a photolithography process. A layer of polysilicon with a thickness of 2000 nanometers is deposited by low-pressure chemical vapor deposition process, N-type heavy doping is carried out on the polysilicon, and the photolithography process forms the online test structure pattern of the residual stress of the polysilicon material. The thickness of the anchor area is the sum of the thickness of the two polysilicons. . A metal electrode pattern is formed on the anchor region by a lift-off process. Finally the structure is released by etching the phosphosilicate glass.

本发明的测试方法简单,采用简单的可变电流源作为激励源,采用普通的万用表监测两个指针是否发生接触,采用电阻表测量电阻,具体过程如下:The test method of the present invention is simple, adopts simple variable current source as excitation source, adopts common multimeter to monitor whether two pointers touch, adopts resistance meter to measure resistance, and specific process is as follows:

1)、测试过程1), test process

测试过程分几个阶段进行:The testing process is carried out in several stages:

①在室温下测量金属电极113和金属电极114(或者金属电极115、金属电极116)之间的电阻,记为R1. measure the resistance between metal electrode 113 and metal electrode 114 (or metal electrode 115, metal electrode 116) at room temperature, denoted as R ;

②在金属电极113和金属电极114之间施加缓慢增加的电流,并监测金属电极118和金属电极114之间的电阻,当该电阻由无穷大变为有限值时,表明指针104和指针102发生了接触,停止加热电流的增加;② Apply a slowly increasing current between the metal electrode 113 and the metal electrode 114, and monitor the resistance between the metal electrode 118 and the metal electrode 114. When the resistance changes from infinite to finite, it indicates that the pointer 104 and the pointer 102 have Contact, stop the increase of heating current;

③测量指针102和指针104发生接触时金属电极113和金属电极114之间的电阻,记为RTL,关闭金属电极113和金属电极114之间的电流,使指针104回转脱离指针102;③ Measure the resistance between the metal electrode 113 and the metal electrode 114 when the pointer 102 and the pointer 104 are in contact, denoted as R TL , close the current between the metal electrode 113 and the metal electrode 114, and make the pointer 104 rotate away from the pointer 102;

④在金属电极115和金属电极116之间施加缓慢增加的电流,并监测金属电极108和金属电极115之间的电阻,当该电阻由无穷大变为有限值时,表明指针106和指针102发生了接触,停止加热电流的增加;④ Apply a slowly increasing current between the metal electrode 115 and the metal electrode 116, and monitor the resistance between the metal electrode 108 and the metal electrode 115. When the resistance changes from infinite to finite, it indicates that the pointer 106 and the pointer 102 have Contact, stop the increase of heating current;

⑤测量指针106和指针102发生接触时金属电极115和金属电极116之间的电阻,记为RTR,关闭金属电极113和金属电极114之间的电流,使指针106回转脱离指针102;⑤ measure the resistance between the metal electrode 115 and the metal electrode 116 when the pointer 106 and the pointer 102 are in contact, denoted as R TR , close the current between the metal electrode 113 and the metal electrode 114, and make the pointer 106 rotate away from the pointer 102;

2)、计算多晶硅材料的热膨胀系数2), calculate the thermal expansion coefficient of polysilicon material

多晶硅驱动梁103上长度为L2-L3部分的电阻RTL与其上平均温度变化量ΔTL的关系为:The relationship between the resistance R TL of the polysilicon drive beam 103 with a length of L 2 -L 3 and the average temperature change ΔT L on it is:

RR TLTL == RR ∞∞ (( 11 ++ aa 11 ΔΔ TT LL ++ aa 22 ΔΔ TT LL 22 ))

式中a1、a2为多晶硅电阻的温度系数,平均温度变化量ΔTL为指针102和104发生接触时,热驱动梁103上L2-L3部分的平均温度与室温之差。where a 1 and a 2 are the temperature coefficients of polysilicon resistance, and the average temperature change ΔT L is the difference between the average temperature of L 2 -L 3 on the thermally driven beam 103 and the room temperature when the pointers 102 and 104 are in contact.

由基本热膨胀关系,热驱动梁103的长度变化ΔLL=(L2-L3)·α·ΔTL,其中,α是多晶硅材料的热膨胀系数,所以有:From the basic thermal expansion relationship, the length change of the thermally driven beam 103 ΔL L =(L 2 −L 3 )·α·ΔT L , where α is the thermal expansion coefficient of the polysilicon material, so:

αα == ΔLΔ L LL (( LL 22 -- LL 33 )) ·&Center Dot; ΔTΔT LL

同理,多晶硅驱动梁105上长度为L2-L3部分的电阻RTR与其上平均温度变化量ΔTR的关系为:Similarly, the relationship between the resistance R TR of the polysilicon drive beam 105 with a length of L 2 -L 3 and the average temperature change ΔT R on it is:

RR TRTR == RR ∞∞ (( 11 ++ aa 11 ΔΔ TT RR ++ aa 22 ΔTΔT RR 22 ))

式中,ΔTR为指针102和指针106发生接触时,热驱动梁105上L2-L3部分的平均温度与室温之差。并且有:In the formula, ΔT R is the difference between the average temperature of the part L 2 -L 3 on the thermally driven beam 105 and the room temperature when the pointer 102 and the pointer 106 are in contact. and have:

αα == ΔΔ LL RR (( LL 22 -- LL 33 )) ·· ΔTΔT RR

求解:Solve:

已有研究表明可以通过测量得到多晶硅电阻的温度系数a1、a2,因此,将a1、a2作为已知量处理。Existing studies have shown that the temperature coefficients a 1 and a 2 of polysilicon resistance can be obtained by measurement, therefore, a 1 and a 2 are treated as known quantities.

将测量得到的R和RTL代入电阻公式,由二次方程的求根公式得到:Substitute the measured R and R TL into the resistance formula, and get the root formula of the quadratic equation:

ΔT L = - a 1 ± a 1 2 + 4 a 2 k L 2 a 2 , 式中, k L = R TL - R ∞ R ∞ . ΔT L = - a 1 ± a 1 2 + 4 a 2 k L 2 a 2 , In the formula, k L = R TL - R ∞ R ∞ .

当多晶硅电阻为负温度系数时,根号前取“-”号;当多晶硅电阻为正温度系数时,根号前取“+”号;When the polysilicon resistance has a negative temperature coefficient, take the "-" sign before the root sign; when the polysilicon resistance has a positive temperature coefficient, take the "+" sign before the root sign;

驱动梁103长度变化ΔLL由几何关系得到:The length change ΔL of the driving beam 103 is obtained by the geometric relationship:

ΔLΔL LL == gg 11 ·· LL 55 LL 11

同理,将测量得到的R和RTR代入电阻公式,由二次方程的求根公式得到:Similarly, the measured R and R TR are substituted into the resistance formula, and obtained from the root-finding formula of the quadratic equation:

ΔT R = - a 1 ± a 1 2 + 4 a 2 k R 2 a 2 , 式中, k R = R TR - R ∞ R ∞ . ΔT R = - a 1 ± a 1 2 + 4 a 2 k R 2 a 2 , In the formula, k R = R TR - R ∞ R ∞ .

当多晶硅电阻为负温度系数时,根号前取“-”号;当多晶硅电阻为正温度系数时,根号前取“+”号;When the polysilicon resistance has a negative temperature coefficient, take the "-" sign before the root sign; when the polysilicon resistance has a positive temperature coefficient, take the "+" sign before the root sign;

驱动梁105长度变化ΔLR由几何关系得到:The length change ΔL R of the driving beam 105 is obtained from the geometric relationship:

Figure BDA0000129166920000059
式中,g是指针106尖端逆时针实际偏转的距离。
Figure BDA0000129166920000059
In the formula, g is the actual counterclockwise deflection distance of the tip of the pointer 106 .

由热膨胀系数关系式,得到:According to the relational formula of thermal expansion coefficient, we get:

ΔLΔ L RR == ΔTΔT RR ·· ΔLΔ L LL ΔTΔT LL

因此有:So there are:

gg == LL 11 ·&Center Dot; ΔTΔT RR ·&Center Dot; ΔLΔ L LL LL 55 ·&Center Dot; ΔTΔT LL

式中变量或为几何尺寸,或为可以得到的测量计算值,因此,指针106尖端逆时针实际偏转的距离g可以由上式计算获得。The variable in the formula is either a geometric dimension, or a measured and calculated value that can be obtained. Therefore, the actual counterclockwise deflection distance g of the tip of the pointer 106 can be calculated by the above formula.

由g值可以得到ΔLR,因此,在驱动梁中由残余应力产生的应变ε为:ΔL R can be obtained from the g value, therefore, the strain ε produced by the residual stress in the drive beam is:

ϵϵ == ΔLΔ L LL -- ΔLΔ L RR 22 ·&Center Dot; LL 22

残余应力σ为:The residual stress σ is:

σ=E·εσ=E·ε

E是多晶硅材料的杨氏模量。E is the Young's modulus of the polysilicon material.

如果ε=0,表示多晶硅中无残余应力;如果ε>0,表示多晶硅残余应力为压应力;如果ε<0,表示多晶硅残余应力为张应力。If ε=0, it means that there is no residual stress in polysilicon; if ε>0, it means that the residual stress of polysilicon is compressive stress; if ε<0, it means that the residual stress of polysilicon is tensile stress.

本发明通过指针在残余应力作用下初始偏转方向的控制使得间距保持和间距变化能够有效地反应残余应力的大小和性质;该测试结构的制作工艺简单,没有特殊加工要求;测试时,采用热驱动,测量参数为热驱动前后驱动梁的电阻。本发明在使用过程中,虽然采用热膨胀原理,但测量计算并不需要热膨胀系数,避免了在线测试热膨胀系数时的误差对测量结果的影响。The present invention controls the initial deflection direction of the pointer under the action of residual stress so that the distance maintenance and distance change can effectively reflect the magnitude and nature of the residual stress; the manufacturing process of the test structure is simple and there is no special processing requirement; , the measured parameter is the resistance of the driven beam before and after thermal actuation. During the use of the present invention, although the principle of thermal expansion is adopted, the thermal expansion coefficient is not required for measurement and calculation, which avoids the influence of errors during online testing of the thermal expansion coefficient on the measurement results.

以上所述仅是本发明的优选实施方式,应当指出:对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,还可以做出若干改进和润饰,这些改进和润饰也应视为本发明的保护范围。The above is only a preferred embodiment of the present invention, it should be pointed out that for those of ordinary skill in the art, without departing from the principle of the present invention, some improvements and modifications can also be made, and these improvements and modifications are also possible. It should be regarded as the protection scope of the present invention.

Claims (3)

1.一种多晶硅材料残余应力在线测试结构,其特征在于:包括三个多晶硅偏转指针,三个多晶硅偏转指针分别包括多晶硅驱动梁(101、103、105)、多晶硅指针(102、104、106)和锚区;三个多晶硅偏转指针呈“品”字型放置,指针(102、104、106)都指向中心;左下部多晶硅偏转指针和右下部多晶硅偏转指针结构完全相同,以测试结构竖直中心线左右镜向,上部多晶硅偏转指针的中线是整个测试结构的竖直中心线,其指针(102)方向与下部的左右多晶硅偏转指针的指针(104、106)方向相反;整个测试结构制作在绝缘衬底(117)上,在结构被释放后,驱动梁(101、103、105)和指针(102、104、106)均处于悬浮状态,以便于释放残余应力并自由伸缩与偏转。1. An online test structure for residual stress of polysilicon material, characterized in that it includes three polysilicon deflection pointers, and the three polysilicon deflection pointers respectively include polysilicon drive beams (101, 103, 105) and polysilicon pointers (102, 104, 106) and the anchor area; the three polysilicon deflection pointers are placed in the shape of "pin", and the pointers (102, 104, 106) all point to the center; the structure of the lower left polysilicon deflection pointer and the lower right polysilicon deflection pointer is exactly the same, to test the vertical center of the structure The line mirrors left and right, the center line of the upper polysilicon deflection pointer is the vertical center line of the entire test structure, and the direction of the pointer (102) is opposite to that of the lower left and right polysilicon deflection pointers (104, 106); the entire test structure is made on an insulating On the substrate (117), after the structure is released, the drive beams (101, 103, 105) and pointers (102, 104, 106) are in a suspended state, so as to release residual stress and freely expand and deflect. 2.根据权利要求1所述的多晶硅材料残余应力在线测试结构,其特征在于:所述左下部多晶硅偏转指针中,驱动梁(103)一端的锚区(109)和指针(104)一端的锚区(110)上分别制作有金属电极(113、114),并且指针(104)一端的锚区(110)上的金属电极(114)一直延伸到驱动梁(103)上;所述右下部多晶硅偏转指针中,驱动梁(105)一端的锚区(112)和指针(106)一端的锚区(111)上分别制作有金属电极(116、115),并且指针(106)一端的锚区(111)上的金属电极(115)一直延伸到驱动梁(105)上。2. The polysilicon material residual stress on-line test structure according to claim 1, characterized in that: in the polysilicon deflection pointer at the lower left part, the anchor area (109) at one end of the drive beam (103) and the anchor at one end of the pointer (104) Metal electrodes (113, 114) are made on the area (110), and the metal electrode (114) on the anchor area (110) at one end of the pointer (104) extends to the driving beam (103); the lower right polysilicon In the deflection pointer, the anchor area (112) at one end of the drive beam (105) and the anchor area (111) at one end of the pointer (106) are respectively made with metal electrodes (116, 115), and the anchor area at one end of the pointer (106) ( 111) on the metal electrode (115) has been extended to the drive beam (105). 3.根据权利要求1所述的多晶硅材料残余应力在线测试结构,其特征在于:所述三个多晶硅偏转指针的驱动梁(101、103、105)长度相等。3 . The on-line testing structure for polysilicon material residual stress according to claim 1 , characterized in that: the driving beams ( 101 , 103 , 105 ) of the three polysilicon deflection pointers are equal in length. 4 .
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