The present invention relates generally to (i) linear variable differential transformers (LVDTs), devices that convert very small mechanical displacements, as small as those in the sub-nanometer level, into differential voltages (and vice versa), and (ii) integrating LVDTs into the structure of a scanning probe device such as the atomic force microscope (AFM) so that certain movements of the device may be conveniently sensed and corrected if desired.
Excitation electronics 111 produce the current driving the primary coil 115. As the position of the object of interest attached to shaft 108 changes, and therefore the position of the primary coil 115 with respect to the secondary coils 103 and 104 changes, the flux coupled to the two secondaries, 103 and 104, also changes. These voltages are amplified with a differential amplifier 106 and converted to a voltage proportional to the core displacement by the signal conditioning electronics 112. For small displacements, the signal is linear. The use of plastic or paramagnetic material in the construction of the
In the embodiment of the excitation and signal conditioning electronics depicted in
Scanning probe devices such as the atomic force microscope (AFM) can be used to obtain an image or other information indicative of the features of a wide range of materials with molecular and even atomic level resolution. As the demand for resolution has increased, requiring the measurement of decreasingly smaller forces and movements free of noise artifacts, the old generations of these devices are made obsolete. The preferable approach is a new device that addresses the central issue of measuring small forces and movements with minimal noise.
For the sake of convenience, the current description focuses on systems and techniques that may be realized in a particular embodiment of scanning probe devices, the atomic force microscope (AFM). Scanning probe devices include such instruments as AFMs, scanning tunneling microscopes (STMs), 3D molecular force probe instruments, high-resolution profilometers (including mechanical stylus profilometers), surface modification instruments, NanoIndenters, chemical or biological sensing probes, instruments for electrical measurements and micro-actuated devices. The systems and techniques described herein may be realized in such other scanning probe devices, as well as devices other than scanning probe devices which require precision, low noise displacement measurements.
An AFM is a device which obtains topographical information (and/or other sample characteristics) while scanning (e.g., rastering) a sharp tip on the end of a probe relative to the surface of the sample. The information and characteristics are obtained by detecting changes in the deflection or oscillation of the probe (e.g., by detecting small changes in amplitude, deflection, phase, frequency, etc.) and using feedback to return the system to a reference state. By scanning the tip relative to the sample, a “map” of the sample topography or other characteristics may be obtained.
Changes in the deflection or oscillation of the probe are typically detected by an optical lever arrangement whereby a light beam is directed onto the side of the probe opposite the tip. The beam reflected from the probe illuminates a position sensitive detector (PSD). As the deflection or oscillation of the probe changes, the position of the reflected spot on the PSD also changes, causing a change in the output from the PSD. Changes in the deflection or oscillation of the probe are typically made to trigger a change in the vertical position of the base of the probe relative to the sample (referred to herein as a change in the Z position, where Z is generally orthogonal to the XY plane defined by the sample), in order to maintain the deflection or oscillation at a constant pre-set value. It is this feedback that is typically used to generate an AFM image.
AFMs can be operated in a number of different sample characterization modes, including contact modes where the tip of the probe is in constant contact with the sample surface, and AC modes where the tip makes no contact or only intermittent contact with the surface.
Actuators are commonly used in AFMs, for example to raster the probe over the sample surface or to change the position of the base of the probe relative to the sample surface. The purpose of actuators is to provide relative movement between different parts of the AFM; for example, between the probe and the sample. For different purposes and different results, it may be useful to actuate the sample or the probe or some combination of both. Sensors are also commonly used in AFMs. They are used to detect movement, position, or other attributes of various components of the AFM, including movement created by actuators.
For the purposes of this specification, unless otherwise indicated (i) the term “actuator” refers to a broad array of devices that convert input signals into physical motion, including piezo activated flexures; piezo tubes; piezo stacks, blocks, bimorphs and unimorphs; linear motors; electrostrictive actuators; electrostatic motors; capacitive motors; voice coil actuators; and magnetostrictive actuators, and (ii) the term “sensor” or “position sensor” refers to a device that converts a physical quantity such as displacement, velocity or acceleration into one or more signals such as an electrical signal, and vice versa, including optical deflection detectors (including those referred to above as a PSD), capacitive sensors, inductive sensors (including eddy current sensors), differential transformers (such as described in U.S. Pat. No. 7,038,443 and co-pending applications US Patent App. Pub. Nos. US20020175677, Linear Variable Differential Transformers for High Precision Position Measurements, and US20040056653, Linear Variable Differential Transformer with Digital Electronics, which are hereby incorporated by reference in their entirety), variable reluctance sensors, optical interferometry, strain gages, piezo sensors and magnetostrictive and electrostrictive sensors.
A piezo activated flexure may be used to move the sample in the X and Y directions relative to the tip of the probe of an AFM, that is to scan the sample in the XY plane, using a XY positioning stage like that shown in FIG. 20 of U.S. Pat. No. 7,038,443, by some of the same inventors as here. Similarly, as shown in FIG. 19 of that patent, such a flexure may be used to change the vertical position of the base of the probe relative to the sample (that is along the Z axis) using a Z positioning stage in order to maintain the deflection or oscillation of the probe tip at a constant pre-set value. In both situations a LVDT like that disclosed in U.S. Pat. No. 7,038,443 may be used to sense movement in the X, Y and Z directions and to make any desired corrections. For this purpose, what is of interest, the X position and the Y position of the XY positioning stage, and the Z position of the Z positioning stage, is each mechanically connected to a primary coil form 114 of a separate LVDT via the shaft 108 of the LVDT in question and each primary coil form therefore moves in tandem with any movement of the X position, Y position or Z position, as the case may be. The secondary coil forms 110 of each such LVDT in turn are fastened to the frame of the XY positioning stage in the case of the LVDTs pertaining to the X position or the Y position and to the frame of the AFM in the case of the LVDT pertaining to the Z position. The secondary coil forms 110 of each such LVDT therefore remain stationary relative to its primary coil form 114.
The present invention uses piezo activated flexures to move the sample in the X, Y and Z directions relative to the tip of the probe of an AFM, that is to scan the sample in the XY plane, and to move the vertical position of the sample relative to the base of the probe, that is to move the sample or base of the probe in the Z plane, in order to maintain the deflection or oscillation of the probe tip at a constant pre-set value. These piezo activated flexures are part of a scanner module of an AFM. An AFM for which these piezo activated flexures may be used is described in a co-pending application, U.S. patent application Ser. No. 12/587,943, entitled Modular Atomic Force Microscope, by some of the same inventors.
The bottom disk insert 306 of the flexure 304 taken together with the design of the flexure itself serve as a cap and permits very little motion along the Z axis in the direction of the bottom of the flexure. The top disk insert 305 again taken together with the design of the flexure itself permits free movement of the flexure 304 along the Z axis in the direction of the top of the flexure in accordance with vertical expansion and contraction of the piezo 301. The cut-outs or recesses 308 in the flexure 304 constrain this movement to the Z plane, and permit very little motion in the X and Y planes.
When the piezo 301 is locked into place within the flexure 304 the top disk insert 305 is tightened somewhat more than is necessary to lock the piezo in place as a means of preloading the flexure 304. The cut-outs or recesses 308 in the flexure 304 transform this additional tightening into movement of the flexure, together with the sample support plate 307 and thereby the sample (not shown), along the Z axis in the direction of the top of the flexure. When the piezo 301 is contracted (using the appropriate electrical charge) the cut-outs or recesses 308 of the flexure 304 transform this contraction into movement of the portion of the flexure 304 above the cut-outs or recesses 308, together with the sample support plate 307 and thereby the sample, along the Z axis in the direction of the bottom of the flexure. When the piezo 301 is expanded (using the appropriate electrical charge) the cut-outs or recesses 308 of the flexure 304 transform this expansion into movement of the portion of the flexure 304 above the cut-outs or recesses 308, together with the sample support plate 307 and the sample, along the Z axis in the direction of the top of the flexure. As noted this motion is accompanied by very little motion in the X and Y planes.
As already noted, LVDTs like those disclosed in U.S. Pat. No. 7,038,443 may be used in an AFM to sense and correct movement in the X, Y or Z directions when the sample is scanned in the XY plane or when the vertical position of the sample relative to the base of the probe is moved in the Z plane. As shown in that patent, this is achieved by mechanically connecting the primary and secondaries of LVDTs to the parts of the AFM relevant for the purpose.
The present invention uses LVDTs to sense and correct movement in the X, Y or Z directions in an AFM, but in a very different way than shown in U.S. Pat. No. 7,038,443. Instead of mechanically connecting the primary and secondary coil forms of LVDTs to the parts of the AFM relevant for the purpose, here the primary and secondary coil forms are integral to the parts themselves. As shown in
Within the limits imposed by the requirement for preloading the flexure 304, loosening or tightening the top disk insert 305 can be used to center the channel 309 which serves as the primary coil form for the LVDT relative to the channels 310 which serve as the secondary coil forms.
The flexure 304 provides conduits whereby electrical connections may be established with the primary coil, the secondary coils and the piezo 301.
As noted in U.S. Pat. No. 7,038,443 non-ferromagnetic coil forms are an important contributor to making a sensitive LVDT. For this purpose, the coil forms could be made of plastic or paramagnetic material. In the present invention the flexure 304, in which the channel 309 which serves as the primary coil form is integrated, is preferably fabricated from a high-yield-stress non-ferromagnetic aluminum such as 7075aluminum. Alternatively they could be fabricated from a ceramic material. The stationary sleeve 311, in which the pair of channels 310 which serve as the secondary coil forms are integrated, is preferably fabricated from a plastic material such as PEEK. Again, they could also be fabricated from a ceramic material.
The embodiment of the digital excitation and signal conditioning electronics of
A sin ωt
The sine wave is then converted to analog form by a digital to analog converter 403 and amplified by a buffer 404 that directly drives the LVDT primary 405 of the present invention typically at a +10V to −10V voltage range, but other voltages may be used. The voltages driving the primary 405 may be doubled through another embodiment depicted in
The signal conditioning electronics of the digital excitation and signal conditioning electronics for the LVDT of the present invention are depicted in
The signal-to-noise ratio of the signal conditioning electronics for LVDTs using a differential amplifier 106 like that of the
The self-opposing phenomenon of the signal conditioning electronics for the LVDT of the present invention makes it possible to use much higher voltages and thus boost the signal-to-noise ratio. One method of doing this is to increase the voltage (or current) driving the primary 405 and therefore the voltages (or currents) induced in the secondaries 408 and 409 or 425 and 426, as the case may be. As noted above, the embodiment depicted in
As shown in
B sin(ωt+Φ)
A typical operating frequency might be 125 kHz, although other frequencies could be used. This sine wave is then converted into digital form with an analog to digital converter 411 and sent to the FPGA 412, the components of which are shown separately in
A sin(ωt)×B sin(ωt+Φ)=(A×B)/2(sin(2ωt+Φ)+sin Φ)
In order to increase the resolution provided by the signal conditioning electronics for the LVDT of the present invention, the ADC 411 used to covert the sine wave output from the secondaries 408 and 409 or 425 and 426, as the case may be, is preferably at least an 18-bit converter sampling at least at a 2 MHz rate. Using such an ADC, this output, which for example is a sine wave at 125 kHz after having been passed through the analog gain stage 410 which intervenes between the secondaries 408 and 409 or 425 and 426, as the case may be, and the ADC 411, is sampled at a rate of 16 samples per cycle, several times the minimum rate required to capture a sine wave digitally. However the 18-bit resolution for each sample provided by the ADC 411 is insufficient to overcome quantization effects and measure displacement at the subnanometer dynamic ranges required for the LVDT of the present invention. The solution to this difficulty is found in the fact that the ADC 411 is sampling at a 2 MHz rate, a rate much faster than the rate required for correcting movement of the piezo flexure of the present invention. Accordingly, some samples are used to create additional resolution of the sine wave, a result that may be referred to as bit growth. The output of the ADC 411 sent to the FPGA 412, therefore, is the sine wave output from the secondaries 408 and 409 or 425 and 426, as the case may be, in high resolution digital form.
The output from the multiplier circuit 431 is routed through a low pass filter 433 which filters out the sin(2ωt+Φ) term, leaving the dc term (A×B)/2 sin Φ. This dc term of the signal is proportional to the change in position of the piezo flexure of the present invention and may be used to correct that position to the position desired.
Although only a few embodiments have been disclosed in detail above, other embodiments are possible and the inventors intend these to be encompassed within this specification. The specification describes specific examples to accomplish a more general goal that may be accomplished in another way. This disclosure is intended to be exemplary, and the claims are intended to cover any modification or alternative which might be predictable to a person having ordinary skill in the art.
Also, the inventors intend that only those claims which use the words “means for” are intended to be interpreted under 35 USC 112, sixth paragraph. Moreover, no limitations from the specification are intended to be read into any claims, unless those limitations are expressly included in the claims. The computers described herein may be any kind of computer, either general purpose, or some specific purpose computer such as a workstation. The computer may be a Pentium class computer, running Windows XP or Linux, or may be a Macintosh computer. The computer may also be a handheld computer, such as a PDA, cellphone, or laptop.
The programs may be written in C, or Java, Brew or any other programming language. The programs may be resident on a storage medium, e.g., magnetic or optical, e.g. the computer hard drive, a removable disk or media such as a memory stick or SD media, or other removable medium. The programs may also be run over a network, for example, with a server or other machine sending signals to the local machine, which allows the local machine to carry out the operations described herein.
This application is a continuation application of U.S. Ser. No. 12/587,947 filed Oct. 14, 2009, now U.S. Pat. No. 8,502,525 issued Aug. 6, 2013, which claims the benefit of U.S. Provisional Ser. No. 61/195,983 filed Oct. 14, 2008, the disclosure of which is herewith incorporated by reference in their entirety.
Number | Name | Date | Kind |
---|---|---|---|
2364237 | Neff | Dec 1944 | A |
2452862 | Neff | Nov 1948 | A |
2503851 | Snow | Apr 1950 | A |
4030085 | Ellis et al. | Jun 1977 | A |
4222103 | Chamberlin | Sep 1980 | A |
4339714 | Ellis | Jul 1982 | A |
4634126 | Kimura | Jan 1987 | A |
4646083 | Woods | Feb 1987 | A |
4669300 | Hall et al. | Jun 1987 | A |
4705971 | Nagasaka | Nov 1987 | A |
4754220 | Shimizu et al. | Jun 1988 | A |
4771630 | Croce et al. | Sep 1988 | A |
4857919 | Braswell | Aug 1989 | A |
5109675 | Hwang | May 1992 | A |
5172002 | Marshall | Dec 1992 | A |
5223707 | Bjork | Jun 1993 | A |
5327030 | DeVito et al. | Jul 1994 | A |
5412980 | Elings et al. | May 1995 | A |
5414939 | Waugaman | May 1995 | A |
5461319 | Peters | Oct 1995 | A |
5465046 | Campbell et al. | Nov 1995 | A |
5469053 | Laughlin | Nov 1995 | A |
5477473 | Mandl et al. | Dec 1995 | A |
5513518 | Lindsay | May 1996 | A |
5606252 | Gschossmann et al. | Feb 1997 | A |
5656769 | Nakano et al. | Aug 1997 | A |
5705741 | Eaton et al. | Jan 1998 | A |
5714682 | Prater et al. | Feb 1998 | A |
5739686 | Naughton et al. | Apr 1998 | A |
5767670 | Maher et al. | Jun 1998 | A |
5777468 | Maher | Jul 1998 | A |
5805448 | Lindsay et al. | Sep 1998 | A |
5833634 | Laird et al. | Nov 1998 | A |
5948972 | Samsavar et al. | Sep 1999 | A |
6267005 | Samsavar et al. | Jul 2001 | B1 |
6466673 | Hardy | Oct 2002 | B1 |
6530268 | Massie | Mar 2003 | B2 |
6639759 | Inoguchi et al. | Oct 2003 | B2 |
6707540 | Lehman et al. | Mar 2004 | B1 |
7038443 | Proksch et al. | May 2006 | B2 |
8269485 | Bocek et al. | Sep 2012 | B2 |
8502525 | Proksch | Aug 2013 | B2 |
20020175677 | Proksch et al. | Nov 2002 | A1 |
20040227535 | Kobayashi et al. | Nov 2004 | A1 |
20060186876 | Proksch et al. | Aug 2006 | A1 |
20070200559 | Proksch et al. | Aug 2007 | A1 |
Entry |
---|
Analog-to-digital converter, http://en.wikipedia.org/wiki/Analog—to—digital—converter, Wikipedia the free encyclopedia printed May 20, 2006, 8 pages. |
Number | Date | Country | |
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20130314078 A1 | Nov 2013 | US |
Number | Date | Country | |
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61195983 | Oct 2008 | US |
Number | Date | Country | |
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Parent | 12587947 | Oct 2009 | US |
Child | 13959943 | US |