Microelectronic structure comprising means of control of viscous damping
10868511 ยท 2020-12-15
Assignee
- Commissariat A L'energie Atomique Et Aux Energies Alternatives (Paris, FR)
- SAFRAN ELECTRONICS & DEFENSE (Boulogne-Billancourt, FR)
Inventors
Cpc classification
B81B3/0045
PERFORMING OPERATIONS; TRANSPORTING
G01P15/003
PHYSICS
H03H2009/02307
ELECTRICITY
B81B2201/0271
PERFORMING OPERATIONS; TRANSPORTING
International classification
B81B3/00
PERFORMING OPERATIONS; TRANSPORTING
H03H3/007
ELECTRICITY
H03H9/24
ELECTRICITY
Abstract
Microelectronic structure comprising a mobile mass mechanically linked to a first and to a second mechanical element by first and second mechanical linking device respectively, a polarisation source for the second mechanical linking device. The second mechanical linking means comprises two linking elements and a thermal reservoir placed between the linking elements, where at least one of the linking elements is made of piezoresistive material, where at least one of the first and second linking elements exhibit thermoelasticity properties. The thermal reservoir exhibits a thermal capacity which is different from those of the linking elements. The second linking device and the mobile mass are arranged relative to each other such that displacement of the mobile mass applies a mechanical stress to the second linking means.
Claims
1. A resonant microelectronic structure comprising: at least one mobile mass mechanically linked to at least one first mechanical element and a second mechanical element which are distinct, by a first mechanical linking device and a second mechanical linking device respectively, the mobile masse being configured to vibrate under the action of an external stimulus, a source of polarisation of current or voltage of the second mechanical linking device, wherein the second mechanical linking device comprises at least one first and one second linking element and at least one thermal reservoir inserted between the first and second linking elements, at least one of the first and second linking elements being made at least in part of a piezoresistive material, where at least one of the first and second linking elements exhibit thermoelasticity properties, and the thermal reservoir exhibiting a thermal capacity which is different from those of the first and second linking elements, wherein the second linking device and the mobile mass are arranged relative to each other such that a displacement of the mobile mass applies a mechanical stress to the second linking device.
2. The resonant microelectronic structure according to claim 1 wherein the thermal capacity of the thermal reservoir is greater than those of the first and second linking elements.
3. The resonant microelectronic structure according to claim 1, wherein the thermal reservoir has a transverse cross-section of surface area which is different to that of the transverse cross-sections of the first and second linking elements.
4. The resonant microelectronic structure according to claim 1, wherein the thermal reservoir is made from at least one material which exhibits a thermal capacity which differs from those of the materials of the first and second linking elements.
5. The resonant microelectronic structure according to claim 1, wherein at least one linking element exhibiting thermoelastic properties is made from at least one material which has an expansion coefficient greater than 10.sup.7K.sup.1.
6. The resonant microelectronic structure according to claim 1, wherein at least one of the first and the second linking element is made of at least one piezoresistive material which has a coefficient of expansion of less than 10.sup.7K.sup.1 and at least one of the first and second linking elements is made of at least one non-piezoresistive material which has a coefficient of expansion greater than 10.sup.7K.sup.1.
7. The resonant microelectronic structure according to claim 1, wherein the first and second linking elements each comprise at least one straight beam.
8. The resonant microelectronic structure according to claim 1, wherein at least one of the first and second linking elements comprise at least one nanowire.
9. The resonant microelectronic according to claim 1, wherein the stiffness of the first and second linking elements and of mechanical connections between the first linking element and the mobile mass and between the second linking element and the second mechanical element are such that expansion of the second linking device primarily causes a force on the mobile mass.
10. The resonant microelectronic structure according to claim 1, wherein the capacity of the thermal reservoir is chosen such that the second linking device exhibits a thermal time constant .sub.th such that .sub.th.sub.r1 where .sub.r is a resonance frequency of the microelectronic structure.
11. The resonant microelectronic structure according to claim 1, wherein the first and second linking elements extend along a first direction, wherein the thermal reservoir comprises a central zone linked to the first and second linking elements of given cross-section in the first direction and lateral zones in a second direction transverse to the first direction, said lateral zones having a dimension in the first direction which is greater than said given cross-section of the central zone.
12. The resonant microelectronic structure according to claim 1, wherein the source of polarisation is connected between the first mechanical element and the second mechanical element, the first and second linking devices and the mobile mass being all or partly electrically conductive.
13. The resonant microelectronic structure according to claim 1, wherein the thermal reservoir exhibits a thermal resistance at most three times smaller than the thermal resistances of the linking elements.
14. The resonant microelectronic structure according to claim 1, wherein the first mechanical element is an anchorage stud, firmly attached to a support and the mobile mass is pivoted so that it rotates relative to the anchorage stud and wherein the second mechanical element is a second anchorage stud firmly attached to the support.
15. The resonant microelectronic structure according to claim 1, wherein the first mechanical element is an anchorage stud firmly attached to a support and the mobile mass can move in translation along a direction relative to the support and wherein the second mechanical element comprises a mass which can move in translation relative to the support along said direction, with the two mobile masses being in phase opposition.
16. The resonant microelectronic structure according to claim 1, wherein the thermal capacity of the thermal reservoir is equal to at least 5 times the thermal capacity of each linking element.
17. The resonant microelectronic structure according to claim 1, wherein the first and second linking elements are made of silicon and the thermal reservoir is made of an alloy of aluminium or of beryllium.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The present invention will be better understood on the basis of the description which follows and the appended drawings, in which:
(2)
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DETAILED DESCRIPTION OF PARTICULAR EMBODIMENTS
(11) In the present application the term microelectronic structure refers to a structure comprising microelectromechanical elements and/or nanoelectromechanical elements.
(12) In
(13) In the example shown, the first linking means 6 comprise a pivot linkage which exhibits a pivot axis Z orthogonal to the plane P. The mobile mass 2 is therefore capable of moving in rotation around the axis Z in the plane P. In the example shown, the pivot linkage comprises two beams 10 extend between an anchorage stud 12 and the mobile mass 2, where the beams 10 have secant axes at a point O which is the intersection of the Z axis and the plane P. The beams 10 deform in bending and allow the mass to rotate around Z. It will be understood that the pivot link may be made in another manner.
(14) The structure comprises second linking means 14 between the mobile mass 2 and the support 4. The second linking means are electrically conductive. The structure also comprises means of polarisation 15 of current or voltage of these second linking means.
(15) As will be described in the remainder of the description, the second linking means 14 are such that they exert a force on the mobile mass by thermo-piezoresistive back action. The second linking means 14 are then orientated relative to the first linking means 6, such that they are mechanically stressed by the mobile mass 2 in motion, and such that the back action force Far is applied at least in the direction along which the mass may move. In this example, the mobile mass 2 moves primarily along the direction X. The second linking means 14 are then such that they exert a back action force Far on the mass along the X axis.
(16) The second linking means 14 are stressed by the mobile mass 2. These are preferably stressed under tension and under compression, whilst allowing bending movement superimposed over the compression or tension.
(17) According to the invention, the second linking means 14 shown only in
(18) The linking element 18 is anchored to the mobile mass 2 and to the thermal reservoir 22 and the linking element 20 is anchored to the thermal reservoir 22 and to a second anchorage stud 24. The second linking means 14 are such that they are capable of exerting mechanical forces on the mobile mass 2. For this they exhibit a certain stiffness and their connection to the second anchorage stud is such that the force Far preferentially displaces the mobile mass. In this embodiment example, the second anchorage stud is not mobile.
(19) The relative stiffness k.sub.e between the second anchorage stud and the anchorage of the first beam 18 to the mass 6 along each of the beam axes 18, 20 are preferably as close as possible to the smallest axial stiffness k.sub.p of the beams 18, 20, so that the forces generated by thermal expansion in at least one of the beams are applied to the anchorages instead of favouring the movement of the thermal reservoir.
(20) Advantageously the structure is such that:
k.sub.e>0,1k.sub.p
(21) The embodiment example of the second linking means shown in
(22) In this example, advantageously, the first 18 and second 20 linking elements are rectilinear beams, where the one 18 is linked to the mobile mass 2 and to the thermal reservoir 22 by its longitudinal ends, and the other 20 is linked to the thermal reservoir 22 and to the second anchorage stud 24 by its longitudinal ends.
(23) The two linking elements 18, 20 preferably have a large length value and a small transverse cross-section. The length of the linking elements is preferably 5 times greater than the transverse dimensions.
(24) The beams 18 and 20 are preferably of identical or similar dimension, which enable both optimum mechanical stiffness of the second linking means and optimum thermal insulation of the thermal reservoir 22 to be achieved.
(25) At least one of the linking elements 18, 20 is made of piezoresistive material, for example of silicon. Moreover at least one of the linking elements 18, 20 exhibits thermoelastic properties. For example, at least one of the materials is made from Si, Al, SiGe, SiN, SiO.sub.2. In the case of SiO.sub.2 and of SiN, a conductive track is made on the beam.
(26) In the present application an element is considered to exhibit thermoelastic properties if it exhibits a coefficient of expansion at the working temperature which is greater than 10.sup.7K.sup.1.
(27) The thermal reservoir 22 is such that it exhibits a thermal capacity Cth which differs from the thermal capacities of the first 18 and second 20 linking elements. Cth is preferably greater than the thermal capacities of the linking elements, very advantageously greater than at least 5 times the thermal capacities of the linking elements. In the case where one of the linking elements exhibits a thermal capacity which is greater than that of the other linking element, Cth is greater than the highest thermal capacity and is advantageously 5 times greater than the latter.
(28) Moreover the thermal reservoir 22 is such that the stiffness of the second linking means is modified only to a small extent relative to linking means without a reservoir, formed for example by a single beam.
(29) For example the second linking means 14 are made from a single piece and made from the same material, for example from n or p doped Si, from AlSi, SiGe or from Au.
(30) In this case the reservoir exhibits at least one cross-section orthogonal to the X axis of surface area greater than that of a cross-section of the beams 18 and 20. In the example shown, the thermal capacity Cth is obtained by creating a zone between beams 18 and 20 which has a greater surface area in the plan P. As a variant the reservoir could comprise the same dimensions as the beams in the plane P but larger dimension along the Z direction. In yet another variant the reservoir could comprise greater dimensions in the plane and in the Z direction to those of the beams, or smaller dimensions in the plane and a greater dimension in the Z direction or again greater dimensions in the plane P and a smaller dimension in the Z direction. As a variant the thermal reservoir may be made from a different material from that of the linking elements, and which exhibits a different thermal capacity to those of the materials of linking elements 18, 20, advantageously greater. For example the thermal reservoir could be made of an aluminium-based alloy, of beryllium, and the linking elements could be made of Si.
(31) The thermal reservoir 22 could then have the same dimensions as the linking elements 18, 20, whilst exhibiting a greater thermal capacity since it would be made of a material with a greater thermal capacity or at the same time made of a material with a thermal capacity greater than that of the materials of the linking elements and of different dimensions.
(32) It may be envisaged that the thermal reservoir comprises different materials. In the case where the thickness of the thermal reservoir is greater than that of the linking elements, for example the increased thickness may be achieved by the deposition of another material such as AlSi or Be.
(33) The means of polarisation comprise a voltage or current generator linked to the anchorage studs. The mobile mass and the first linking means are then also electrical conductors or have tracks made from an electrically conductive material.
(34) As a variant it is possible to envisage connecting the generator between the second anchorage stud and the end of the beam 18 anchored to the mobile mass. In order to do this, an electrical linking element may be introduced so as to be in contact with the anchorage located on the mobile part. This element may have the form of a coil forming a spring, in order not to introduce any additional stiffness to the mobile mass.
(35) The operation of the structure in
(36) The second linking means, i.e. the two beams 18 and 20 and the thermal reservoir 22 are voltage- or current-polarised.
(37) The beams undergo self-heating by means of the Joule effect.
(38) When the mobile mass 2 is made to move by an external stimulus, for example acceleration, it moves around the Z axis and applies a tensile or compression stress to the beams 18 and 20.
(39) Since at least one of the beams 18, 20 is made of piezoresistive material, the electrical resistance of the beam varies, and then the power is dissipated by the Joule effect, the effect of which is to change the temperature of the beam and more generally of the second linking means.
(40) Since at least one of the linking elements 18, 20 possess thermoelastic properties a back action force is generated by deformation of this element which is applied to the mobile mass.
(41) Far may be described by formula III.
(42)
(43) It may be deduced from this that the effect of the force Far is maximum when the time constant reaches a value such that:
.sub.th.sub.r1
(44) Thanks to the invention, it is possible to regulate the value of .sub.Th in order to meet the condition .sub.th.sub.r1 without having to modify the resonance frequency value of the structure.
(45) In effect the thermal reservoir 22 increases the thermal inertia of the second means if linking, which has the effect of increasing the thermal time constant. The thermal reservoir, because of its greater thermal capacity Cth than those of the beams, tends to absorb more heat than the beams and therefore delays the temperature variation induced by the Joule effect modification due to the movement of the mass.
(46) By increasing the thermal inertia, the mechanical back effects on the structure on which the linking elements rest are delayed. This increase in the thermal inertia is optimised by the fact that the thermal reservoir is linked to the rest of the structure only by the beams, in order to maximise the thermal isolation. The beams are subjected to heating controlled by the thermal reservoir arranged between the beams, the mechanical forces exerted by each beam element on its fixed anchorages are then synchronised.
(47) In an example which is of particular interest, only one of the beams 18, 20 is made of a piezoresistive material and has a low coefficient of expansion i.e. less than 10.sup.7K.sup.1, and the other beam 20, 18 is not piezoresistive and exhibits thermoelastic properties, i.e. a coefficient of expansion greater than 10.sup.7K.sup.1. This embodiment optimises the choice of piezoresistive material and of the thermoelastic material in order to best exploit the back action effect.
(48) In
(49) In the various
(50) In
(51) In
(52) In
(53) The second linking means of the
(54) The thermal resistance of the thermal reservoir is preferably low, it is advantageously at its maximum three times smaller than the thermal resistance of the beams, and preferably 5 times smaller than the thermal resistance of the beams, which favours rapid distribution of the thermal energy to the plate and not to the anchorages of the beams at the second stud.
(55) For a given thermal reservoir volume, a reservoir with a compact three-dimensional form is preferred in order to promote the rapid distribution of energy within this plate.
(56) In
(57) As regards the linking elements, they are preferably formed by rectilinear beams but it may be envisaged that they comprise several portions of beams whose axes form an angle with each other. Small angles are chosen so that the back action in the second linking means preferably serve to apply a force to the anchorages and not to deform the linking elements.
(58) Yet another embodiment example of the second linking means can be seen in
(59) In
(60) In another advantageous embodiment example, the replacement of the beams forming the linking elements by beams of sub-micrometric cross-section may be envisaged, more particularly with nanowires whose dimensions in a plane perpendicular to their length are less than about 500 nm, in which the sum of the cross-sections of all the nanowires would be similar to or the same as that of the beam 18 or 20. The thermal resistance of the linking elements is then advantageously increased. Indeed the thermal conductivity of nanowires made of silicon falls by several orders of magnitude at these dimensions. It is therefore possible to create a structure with the same stiffness and the same electrical resistance and increased thermal resistance. This increase in the thermal resistance favours the removal of thermal energy towards the plate and not to the anchorages of the beams at the second anchorage stud and to the mass.
(61) This ability to increase the thermal resistance provides an additional degree of freedom for modifying the thermal time constant. The number of embodiment possibilities for the structures that can be made is therefore increased.
(62) In
(63) This structure differs from that of
(64) The structure has a vibration mode for which the two masses vibrate in phase opposition. For this mode the mass of the thermal reservoir may be any value whatsoever since its inertia plays no part in the properties of the mode (inertia, resonance frequency).
(65) It should be noted that a structure wherein the two mobile masses are in phase applies no deformation to the linking elements and is not subject to a back action effect.
(66) The mass may have any movement, linear movements or rotation. Furthermore the movements may in-plane movements, out-of-plane movements and/or a combination of in-plane movements and out-of-plane movements.
(67) In general the thermal reservoir may contribute to the overall inertia of the MEMS or of the NEMS. This may modify the resonance frequency of the system, for example. Preferably a way is sought to obtain a negligible mass of the thermal reservoir relative to the rest of the structure, for example a mass of less than 20% of the mass of the structure. This is the case, for example, in the structure of
(68) In the examples described the second linking means comprise a thermal reservoir but it may be envisaged that they comprise several thermal reservoirs, for example two thermal reservoirs linked by a beam, where the second linking means then comprise three beams and two thermal reservoirs.
(69) Thanks to the invention, the thermal time constant for the system of beams which generates the back action effect may be chosen by designing the dimensions of the thermal reservoir or reservoirs, by modifying very slightly the mechanical parameters associated with the MEMS (stiffness, mechanical inertia etc.) and the electrical resistances associated with the back action beams. Thus it is possible to create a structure which fulfills or at least comes close to meeting the condition .sub.th.sub.r1 for which control over the viscous dissipation force is most favourable.
(70) The thermal inertia may be modified by from 1 to 3 orders of magnitude i.e. multiplied by a factor between 10 and 1000 by extending the thermal reservoir in directions transverse to the main direction of the beams. For example let us consider a beam of length 5 m and of width and thickness 250 nm, its thermal inertia may be increased by at least a factor of 100 by inserting a thermal reservoir of dimensions 5 m2.5 m2.5 m between two half-beams.
(71) The thermo-piezoresistive back action effect changes the mechanical response of a MEMS/NEMS resonator without modifying the force noise of a thermal origin, in contrast to pneumatic damping systems (control of the pressure in the MEMS/NEMS cavity). In the case of active damping systems, complex electronics must be used: reintroducing measurement noise into the back action force generates force noise in the MEMS, which could reduce its level of performance.
(72) The present invention is particularly effective for working frequencies at which the major part of the kinetic energy of the microelectronic structure is located in the mobile mass, preferably at least 70%.
(73) In the case of the structure in
(74) In the case of the structure in
(75) Solely by way of an example, the thermal time constant of a structure according to the invention will be estimated. The second linking means comprise:
(76) two beams of length 2.5 m and of cross-section 250250 nm.sup.2 made of silicon,
(77) a thermal reservoir of dimensions 55 m.sup.2 and of thickness 250 nm also made of silicon.
(78) The thermal capacity per unit mass of the silicon is close to that of bulk silicon, at 700 J/kg. The thermal conductivity is taken as being equal to 80 W/m/K for p doped silicon at a level of 5.10.sup.19 cm.sup.3 due to the small cross-section of the beam. In the case of bulk silicon, the thermal conductivity is equal to 148 W/m/K.
(79) By considering a simplified model, which concentrates the thermal inertia in the thermal reservoir and the thermal resistance in the beams, an estimate of the thermal time constant can be made. This model seems reasonable considering the differences in dimensions between these elements:
(80) The thermal resistance of the system connected to the exterior by the two beams is estimated at 0.25 MK/W. The two beams are in parallel from a thermal point of view
(81)
(82) As for the thermal capacity of the thermal reservoir this is estimated at 10.2 pJ/K.
(83) A thermal constant of the order of 2.5 s is estimated. In the absence of a thermal reservoir (the second linking elements would comprise only a beam of length 5 m and of width and thickness 250 nm) a time constant in the 50 ns range is nearly two orders of magnitude less. If the thickness of the thermal reservoir is set to 2.5 m, the time constant can reach 25 s, that is, nearly three orders of magnitude higher than the beam alone.
(84) To approach the condition .sub.th.sub.r1, with a time constant of 25 s, the resonance frequency range of the MEMS/NEMS structure that can be addressed with a beam of dimension 5 m250250 nm.sup.2 is between 7 kHz and 3.5 MHz: these orders of values are compatible with numerous MEMS/NEMS applications such as gyrometers, accelerometers etc. By using beams of smaller dimensions, the effect may be applied for frequencies in the range of from ten or so to a hundred or so MHz.
(85) We will now describe such an embodiment method for a structure according to the present invention, the various steps in which can be seen schematically represented in the various steps in
(86) An SOI (silicon on insulator) structure is used for example which comprises a substrate 402, a buried oxide BOX layer 404 and a layer of silicon 406. The silicon layer has for example a thickness of the order of 200 nm. In general the layer may be of Si, SiGe or Ge, poly or monocrystalline.
(87) Structuring of silicon layer 406 is then carried out for example by photolithography and etching with a stop on the oxide layer 406, allowing the linking means to be defined.
(88) The element thereby obtained is shown in
(89) During a subsequent step, deposition of a layer of oxide 410 is carried out on the silicon layer 406 to fill the previously etched zones 408, etching of the oxide layer 410 is then carried out to leave only a portion of the oxide deposited on the silicon layer 406 and linking the oxide filling the trenches. The etching may be performed by dry etching with stopping on the Si or by wet etching, for example using a solution based on sulphuric acid. In the case where the thermal reservoir has a thickness that is different from that of the linking elements, the zone intended to form the thermal reservoir may be envisaged.
(90) The element thereby obtained is shown in
(91) During a subsequent step a deposit of a layer of silicon is formed 412. The layer 412 is obtained for example using epitaxial growth, and has a typical thickness of 1 to 50 m, for example 10 m. More generally the layer 412 may be made of Si, SiGe, Ge, poly or monocrystalline or from a metallic material; the deposition may be performed by epitaxy or by methods of the vapour phase physical/chemical deposition type (PVD/CVD: Physical/Chemical Vapour Deposition).
(92) The element thus obtained is shown in
(93) Electrical contexts are made during a subsequent step 414. To do this, deposition of a metal layer (AlSi or Au for example) is carried out, and the zones to be removed and to be retained are distinguished using photolithography. Then etching using dry etching is carried out with stopping on Si or by selective wet etching relative to the Si of the metallic layer in order to retain only the contacts 414.
(94) The element thus obtained is shown in
(95) During a subsequent step the layers of silicon 406 and 412 are structured in order to define the mobile mass and the first linking means and the second linking means, for example by photolithography and deep etching with stopping on the oxide layers 404 and 410.
(96) The element thus obtained is shown in
(97) During a subsequent step, the mobile mass and the first and second linking means are released, for example using wet etching of the oxide 404 for example using liquid and/or vapour hydrofluoric acid (HF). This is an etching over time. The hydrofluoric acid is left in contact with the oxide layer for the length of time necessary to release the mobile mass and the first and second linking means whilst leaving the oxide layer between the substrate and the fixed parts.
(98) The element thus obtained is shown in
(99) The MEMS/NEMS micro- and nanostructures according to the invention which offer means of control of the viscous damping may, for example, be used in MEMS/NEMS micro-sensors and micro-actuators.