Embodiments of the invention relate to a microelectromechanical system (MEMS) pressure sensing element having a trench at the backside for reducing or eliminating the effect of thermally induced stresses or thermal noise, such as temperature offset voltage output.
MEMS pressure sensors are generally known. One type of pressure sensor is a differential pressure sensor which includes a pressure sensing element made of silicon which is anodically bonded to a glass pedestal, and the glass pedestal is mounted to a housing substrate using an adhesive. Many differential pressure sensors are used in applications in which the sensors are exposed to varying temperatures. This causes the sensing element, the glass pedestal, the adhesive, and the housing substrate to expand and contract in response to the temperature changes.
The pressure sensing element includes four piezoresistors or resistors positioned in what is known as a “Wheatstone Bridge” configuration. The adhesive expands and contracts at a different rate in relation to the pressure sensing element, which can cause stress to be applied to the resistors, affecting the pressure reading detected by the pressure sensing element. The glass pedestal is incorporated between the pressure sensing element and the adhesive such that the stresses resulting from the difference in thermal expansion between the pressure sensing element and the adhesive are isolated by the glass pedestal. The glass pedestal and the pressure sensing element have slightly different coefficients of thermal expansion, and therefore expand and contract at a lower different rate when exposed to varying temperatures. The glass pedestal essentially acts as a buffer to isolate the stresses resulting from the different expansion and contraction rates between the glass pedestal and the adhesive.
An example of the pressure sensor discussed above is shown in
Formed as part of the housing substrate 18 is a first aperture 20, and formed as part of the glass pedestal 14 is a second aperture 22, which is in substantial alignment with the first aperture 20. The second aperture 22 is in fluid communication with a cavity, shown generally at 24, where the cavity 24 is formed as part of the pressure sensing element 12. The pressure sensing element 12 includes four angular inner surfaces, where only a first angular inner surface 26 and a second angular inner surface 28 are depicted in
The diaphragm 32 is relatively thin, and the thickness of the diaphragm 32 depends upon the pressure range. The diaphragm 32 deflects upwardly and downwardly in response to pressure applied to the bottom surface 30, and the top surface 34 of the diaphragm 32. The pressure in the cavity 24 changes as a result of a pressure change of fluid flowing into and out of the apertures 20,22.
The deflections in the top surface 34 also deform the picture frame Wheatstone bridge 36, which is doped onto the top surface 34 of the pressure sensing element 12. The pressure sensing element 12 is made of a single crystalline silicon (Si). On the top of the pressure sensing element 12, four p− piezoresistors 36A-36D are formed and connected to each other by p+ interconnectors 40 to form the picture frame Wheatstone bridge 36 for pressure sensing as shown in
Merriam-Webster's Collegiate Dictionary 11th Edition defines a Wheatstone bridge as an electrical bridge consisting of two branches of a parallel circuit joined by a galvanometer and used for determining the value of an unknown resistance in one of the branches. As used herein, the term Wheatstone bridge refers to the circuit topology shown in
The four interconnects 40 are shown as part of the pressure sensing element 12. Each interconnect 40 extends outwardly from a point or node 44 between two of the four resistors 36 next to each other, and connects to the bottom of a metal bond pad 42. Each bond pad 42 is located near a side 46 of the top surface 34 of the pressure sensing element 12. Each interconnect 40 thus terminates at and connects to a bond pad 42.
Each bond pad 42 has a different label or name that indicates its purpose. The first bond pad 42A and the second bond pad 42B receive an input or supply voltage for the Wheatstone bridge circuit. Those two bond pads 42A,42B are denominated as Vp and Vn, respectively. The other two bond pads 42C,42D are output signal nodes denominated as Sp and Sn, respectively.
Many attempts have been made to simplify the construction of this type of pressure sensor 10 by eliminating the glass pedestal 14, and directly connecting the pressure sensing element 12 to the housing substrate 18 with the adhesive 16. However, the difference in thermal expansion between the adhesive 16 and the pressure sensing element 12 has resulted in unwanted stresses being applied to the pressure sensing element 12, which then disrupt each of the resistors 36A-36D, causing an inaccurate pressure reading by the pressure sensing element 12.
More particularly, both experimental measurement and computer simulations of the structure depicted in
The offset voltage output variation over an operating temperature is called temperature coefficient of offset voltage output (TCO) and defined as follows:
TCO=(Vo at 150° C.−Vo at −40° C.)/190° C.
Where Vo at 150° C.: offset voltage output at 150° C. without pressure applied
Vo at −40° C.: offset voltage output at −40° C. without pressure applied
The pressure sensing element 12 is commonly used with an application-specific integrated circuit (ASIC). The ASIC is, among other things, used for amplifying and calibrating the signal received from the pressure sensing element 12. It is desirable to keep the TCO between −50 uV/° C. and 50 uV/° C. so the ASIC is better able to handle any thermal noise.
The high TCO is difficult for an ASIC to compensate, especially when the adhesive 16 is not symmetrically dispensed. If the adhesive is not symmetrically dispensed, this can further reduce the accuracy of the sensor. The stress difference in the X and Y directions on each of the four resistors is amplified, thus the offset voltage outputs increase, as well as the TCO. That is why the glass pedestal 14 shown in
In some embodiments, a pressure sensor is designed to reduce or eliminate thermally induced stresses or thermal noise, such as temperature offset voltage output. The pressure sensor includes a pressure sensing element having a diaphragm, and a cavity formed as part of the pressure sensing element, where the cavity receives a fluid such that the diaphragm at least partially deflects. The pressure sensor also includes a plurality of piezoresistors connected to the pressure sensing element, which are operable to generate a signal based on the amount of deflection in the diaphragm. A top surface is formed as part of the pressure sensing element, and the plurality of piezoresistors are doped to the top surface. A plurality of outer surfaces is also formed as part of the pressure sensing element, such that each of the plurality of outer surfaces terminate into the top surface. At least one substrate is operable for supporting the pressure sensing element.
At least one trench is integrally formed as part of the pressure sensing element, and an adhesive connects the pressure sensing element to the at least one substrate such that at least a portion of the adhesive is disposed in the trench and redistributes thermally induced stresses on the piezoresistors such that the thermally induced stresses are substantially eliminated.
Further areas of applicability of the present invention will become apparent from the detailed description provided hereinafter. It should be understood that the detailed description and specific examples, while indicating the preferred embodiment of the invention, are intended for purposes of illustration only and are not intended to limit the scope of the invention.
The present invention will become more fully understood from the detailed description and the accompanying drawings, wherein:
The following description of the preferred embodiment(s) is merely exemplary in nature and is in no way intended to limit the invention, its application, or uses.
A pressure sensor according to embodiments of the present invention is shown in
Formed as part of the housing substrate 116 is an aperture 118. The aperture 118 is in fluid communication with a cavity, shown generally at 120, where the cavity 120 is formed as part of the pressure sensing element 112. In one embodiment, the cavity 120 is formed using a dry etch, deep reactive ion etch (DRIE), but it is within the scope of the invention that other processes may be used. The pressure sensing element 112 includes a plurality of substantially vertical inner surfaces 122A-122D. Each of the inner surfaces 122A-122D terminates into a bottom surface 124, which is part of a diaphragm 126. Each of the inner surfaces 122A-122D is substantially perpendicular to the diaphragm 126. The pressure sensing element 112 also includes a top surface 128, and there is a picture frame Wheatstone bridge, shown generally at 36, doped onto the top surface 128 of the pressure sensing element 112, which is the same picture frame Wheatstone bridge 36 shown in
The diaphragm 126 is relatively thin, and the thickness of the diaphragm 126 depends upon the pressure range. The diaphragm 126 deflects upwardly and downwardly in response to pressure applied to the bottom surface 124, and the top surface 128 of the diaphragm 126 deflects in response to pressure changes in the cavity 120 and on the top surface 128 as shown in
The deflections in the top surface 128 also deform the picture frame Wheatstone bridge 36. The deflections of the top surface 128 of the diaphragm 126 deform the picture frame Wheatstone bridge 36 doped onto the top surface 128 of the pressure sensing element 112, which is made of a single crystalline silicon (Si) in a similar manner to the pressure sensing element 12 shown in
In this embodiment, the Wheatstone bridge still includes the plurality of resistors 36A-36D, the plurality of electrical interconnects 40, the plurality of bond pads 42, and the nodes 44. With this embodiment, the bond pads 42 are again located near a side 46 of the top surface 128 of the pressure sensing element 112. The Wheatstone bridge in this embodiment also includes a fiducial 48 which used for orienting the Wheatstone bridge during assembly.
A Wheatstone bridge circuit has two input nodes and two output nodes. The transfer function, which is the ratio of the output voltage to the input voltage, can be expressed as shown in Eq. 1 below.
Rearranging the transfer function terms provides an equation for the output voltage Vout as a function of the input voltage Vin and values of the resistors in the Wheatstone bridge. Equation 2 below thus expresses the output voltage as a function of the input voltage and the values of the resistors that comprise the Wheatstone bridge circuit.
It can be seen from Eq. 2 that the output voltage changes as the resistors' values change induced by pressure, temperature change, thermal mismatch, etc. One type of thermal mismatch exists between the pressure sensing element 112 and the housing substrate 116, which has an effect on the output voltage.
Equation 3 below expresses the output voltage as a function of the fluctuations in resistance values.
Expanding Equation 3 into Equation 4 below shows that Vout will vary with changes in each of the resistors R1 through R4.
For a piezoresistive device, the ratio of the resistance change versus the resistance for each resistor can be expressed as follows:
σiL: longitudinal stress on the resistor i
where
σiT: transverse stress on the resistor i
and the value of piezoresistive coefficient, π44 is approximately 1.381/GPa with a boron doping density of 1.8E15/cm̂3.
Equation 4 shows that the value for the ratio of the resistance change versus the resistance for each resistor is dependent on the longitudinal and transverse stresses on each resistor. If the longitudinal stresses on Resistor 1 and 3 are aligned to be perpendicular to the edge of the diaphragm, then the transverse stresses on Resistor 2 and 4 is also perpendicular to the edge of the diaphragm. The stress perpendicular to the edge of the diaphragm is denominated as Sxx. In this condition, the transverse stresses on Resistor 1 and 3 and the longitudinal stresses on Resistor 2 and 4 will be parallel to the edge of the diaphragm. The stress parallel to the edge of the diaphragm is denominated as Syy. Therefore, Equation 4 can be re-written as Equation 5 below.
Vout is thus a function of the sum of the differential stresses, (Sxx−Syy) on all the four resistors. According to Equation 5, when the pressure sensor device is under the pressure, the stress perpendicular to the diaphragm on each resistor, Sxx is higher than the stress parallel to the diaphragm on each resistor, Syy. Therefore the pressure sensor device has a high sensitivity. In order to minimize the noise, however, it is desirable to keep the voltage output, or the offset voltage output in this condition as low as possible, and preferably zero for the noise induced by the thermal stress. Based on Equation 5, it is apparent that if thermally-induced stresses Sxx and Syy can be equalized or the sum of (Sxx−Syy) can be reduced to zero, the offset voltage output becomes zero due to the cancellation of the stresses. Once the offset voltage outputs are reduced to approximately zero at different temperature levels, the TCO is essentially zero.
The operating temperature range of the sensor 100 is between about −40° C. and about +150° C. The difference in the coefficient of thermal expansion between the pressure sensing element 112, the adhesive 114, and the housing substrate 116 creates an imbalance among the stresses applied to the various resistors 36. This imbalance is corrected by a trench, shown generally at 144. Because of the trench 144, the sensor 100 also does not require the glass pedestal 14 shown in
The trench 144 is located at a distance 158 from the center 160 of the pressure sensing element 112. The distance 158 is calculated from the center 162 of the trench 144 to the center 160 of the pressure sensing element 112. The distance 158 from the center 160 of the pressure sensing element 112 to the center 162 of the trench 144 is generally about 0.575 mm to 0.800 mm. The overall width 164 of the bottom surface 146 is about 0.640 mm, and is located at a distance 166 of about 0.390 mm from the center 160 of the pressure sensing element 112.
The inner surfaces 122A-122D being substantially vertical provide for the pressure sensing element 112 to be made smaller compared to the pressure sensing element 12 shown in
During assembly, the pressure sensing element 112 is connected to the housing substrate 116 using the adhesive 114. As the pressure sensing element 112 is placed onto the adhesive 114, the adhesive 114 fills the trench 144 and at least partially surrounds two of the substantially vertical outer surfaces 174 on two opposite sides of the pressure sensing element 112. The adhesive 114 provides a secure connection between the housing substrate 116 and the pressure sensing element 112. During assembly, the adhesive 114 is deformable and when assembled, the adhesive 114 has an outer fillet portion 168, a base portion 170, and an inner fillet portion 172. The portion of the adhesive 114 that surrounds two of the outer surfaces 174 is the outer fillet portion 168, best shown in
When the sensor 100 is used in operation, and exposed to various temperatures, the pressure sensing element 112, the adhesive 114, and the housing substrate 116 have different coefficients of thermal expansion, and therefore expand and contract at different rates. The trench 144 is used to offset the various stresses which result from the difference in rates of thermal expansion of the pressure sensing element 112, the adhesive 114, and the housing substrate 116.
Experimental and computer simulations show that the TCO is approximately proportional to the offset voltage output at −40° C. In order to reduce or minimize the TCO, it is important to reduce or minimize the offset voltage output at −40° C. Numeral 178 in
The pressure sensing element 112 is also able to compensate for different variations as well. Referring to
An alternate embodiment of the present invention is shown in
Another alternate embodiment of the present invention is shown at 1100 in
The cap 180 includes a chamber, shown generally at 182, located between sidewalls 184. The cap 180 is bonded to the top surface 128 of the pressure sensing element 112 such that the chamber 182 is a vacuum chamber, which functions as a zero pressure reference when the diaphragm 126 is exposed to the environment. This allows the pressure sensor 1100 shown in
The description of the invention is merely exemplary in nature and, thus, variations that do not depart from the gist of the invention are intended to be within the scope of the invention. Such variations are not to be regarded as a departure from the spirit and scope of the invention.