The disclosure pertains to scanning probe microscopes.
Scanning probe microscopes can be used for high resolution sample measurements. The lateral resolution of conventional optical microscopes is generally limited by diffraction effects, while in scanning probe microscope the resolution is limited by the dimensions of the scanning probe tip which is typically between about 5 nm and 100 nm. Some customary scanning probe microscopes include the atomic force microscope (AFM) and the near-field scanning optical microscope (NSOM). The AFM measures surface topographies by detecting a force exerted on a probe. In one configuration, a probe is secured to a cantilever, and deflections of the cantilever are estimated using laser beam illumination of the cantilever. The NSOM uses a probe having a small illumination aperture through which optical radiation is directed to a sample; and can be used to measure topographic and optical properties.
The AFM has been used to study frictional forces. A probe tip is dragged along a specimen surface and its lateral bending is monitored. This lateral bending is caused by frictional forces between the probe and the specimen. The smaller the bending experienced by the probe, the lower the frictional force. While such AFM-based measurements can provide useful insights into surface interactions, these measurements have significant limitations. For example, AFM-based measurements are associated only with frictional forces on the AFM probe, but provide no information on any effects on the sample, such as how energy is transferred to the sample by the probe. AFM-based measurements also provide limited information on any probe interactions with thin adsorbed fluid layers on specimen surfaces. Accordingly, methods and apparatus are needed that can provide enhanced specimen characterizations.
Scanning microscopes comprise a probe having a probe tip for contacting a specimen and a probe stage configured to move the probe tip toward the specimen. A first acoustic transducer is coupled to the probe or a probe mount and a second acoustic transducer is adapted to be acoustically coupled to the specimen. In some examples, a first transducer driver is configured to produce an acoustic vibration of the probe tip with the first acoustic transducer, and a first transducer detector is situated to receive an electrical signal produced by the second acoustic transducer in response to the acoustic vibration of the probe tip. In further examples, a translation stage is configured for scanning the probe tip with respect to a specimen surface, and an image processor is configured to receive electrical signals from the first transducer detector as the probe tip is scanned to produce an image of a specimen surface. In some particular examples, a quartz tuning fork includes the first acoustic transducer, wherein the probe tip is secured to a tine of the tuning fork. In additional examples, the first transducer detector is configured to detect probe tip vibration based on an assessment of a tuning fork vibration amplitude or resonance frequency shift. In other alternatives, the first transducer detector is configured to detect probe tip vibration based on an assessment of a tuning fork admittance or based on an assessment of a frequency associated with a maximum amplitude of a tuning fork vibration. In some examples, the first transducer detector is configured to detect a resonance frequency shift or other property of a probe tip oscillation, and an admittance can be estimated based on such oscillation properties.
In still further examples, a first transducer driver is configured to produce an acoustic vibration of the specimen with the second acoustic transducer, and a first transducer detector is situated to receive an electrical signal produced by the first acoustic transducer in response to the acoustic vibration of the specimen. In some examples, a translation stage is configured for scanning the probe tip with respect to a specimen surface, and an image processor is configured to receive electrical signals from the first transducer detector as the probe tip is scanned to produce an image of a specimen surface. In other representative embodiments, a quartz tuning fork includes the first acoustic transducer, wherein the probe tip is secured to a tine of the tuning fork, and the first transducer detector is configured to detect probe tip vibration based on an assessment of a tuning fork vibration amplitude, a tuning fork admittance, or a frequency or frequency shift associated with a maximum amplitude of a tuning fork vibration.
Methods comprise scanning a probe tip over a specimen surface and applying an acoustic signal to the specimen. The acoustic signal is coupled between the specimen and the probe tip, and the coupled acoustic signal is detected. An image is formed based on the detected coupled acoustic signal. In other examples, the acoustic signal is applied to the specimen with a transducer that is secured to the probe tip or the coupled acoustic signal is detected with an acoustic transducer that is secured to the probe tip. In other examples, the acoustic signal is applied to the specimen with a transducer that is secured to the specimen.
In other methods, an acoustic signal is applied to a probe tip and a probe tip distance from a specimen surface is estimated based on detecting an acoustic signal at the specimen. In a representative examples the method includes establishing that a probe tip oscillation remains substantially unchanged at the distance at which the acoustic signal from the specimen is detected.
The foregoing and other features and advantages of the disclosed technology will become more apparent from the following detailed description, which proceeds with reference to the accompanying figures.
As used in this application and in the claims, the singular forms “a,” “an,” and “the” include the plural forms unless the context clearly dictates otherwise. Additionally, the term “includes” means “comprises.” Further, the term “coupled” means electrically, electromagnetically, or acoustically connected or linked and does not exclude the presence of intermediate elements between the coupled items.
The described systems, apparatus, and methods described herein should not be construed as limiting in any way. Instead, the present disclosure is directed toward all novel and nonobvious features and aspects of the various disclosed embodiments, alone and in various combinations and sub-combinations with one another. The disclosed systems, methods, and apparatus are not limited to any specific aspect or feature or combinations thereof, nor do the disclosed systems, methods, and apparatus require that any one or more specific advantages be present or problems be solved.
Although the operations of some of the disclosed methods are described in a particular, sequential order for convenient presentation, it should be understood that this manner of description encompasses rearrangement, unless a particular ordering is required by specific language set forth below. For example, operations described sequentially may in some cases be rearranged or performed concurrently. Moreover, for the sake of simplicity, the attached figures may not show the various ways in which the disclosed systems, methods, and apparatus can be used in conjunction with other systems, methods, and apparatus. Additionally, the description sometimes uses terms like “produce” and “provide” to describe the disclosed methods. These terms are high-level abstractions of the actual operations that are performed. The actual operations that correspond to these terms will vary depending on the particular implementation and are readily discernible by one of ordinary skill in the art.
Representative methods and apparatus are described herein that are associated with scanning probe microscopes. In one representative example, a so-called Ultrasonic/Shear-Force Microscope (USFM) is described which can be used as, for example, an analytical tool to investigate the dynamics displayed by fluid-like films when subjected to mesoscopic confinement. In the disclosed examples, one or more acoustic transducers can be provided to apply or detect acoustic signals on a specimen. In some examples disclosed herein, ultrasonic signals are applied or detected. For convenience, acoustic signals having a frequency of at least about 20 kHz are referred to as ultrasonic, while acoustic signals having frequencies greater than about 10 Hz can be used.
Referring to
A stage controller 110 is configured to supply an electrical signal to the piezoelectric stage 106 to control the vertical displacement of a probe tip 103 from a specimen 114. In some examples, the piezoelectric stage controller 110 uses a feedback-based control scheme to compensate piezoelectric stage properties such as stage hysteresis for accurate and repeatable probe tip placement. As shown in
As shown in
In operation, the tuning fork (TF) 104 is activated by the driver 108 and is moved towards the specimen surface 117 until an interaction of the probe tip 103 with the specimen 114 is detected. Typically, a probe/specimen interaction is detected based on a decrease in amplitude and a shift in the resonance frequency of the tuning fork 104 determined by detection system 109. Alternatively, a probe/specimen interaction can be detected based on an acoustic signal excited by an ultrasonic sensor and detected at a tuning fork or other acoustic sensor. By scanning the probe tip 103 across the specimen surface 117 and measuring TF resonance frequency shifts or other changes in TF response, a one or two dimensional representation of the surface 117 can be produced. As shown below, the probe tip 103 is also responsive to the layer 116. An electrical signal associated with the specimen interaction is output by the lock-in amplifier 109B. A shift in a resonance frequency in a tuning fork is a convenient technique for detecting probe/specimen interactions, but other techniques, such as, for example, measurement of laser beam deflection can be used. Because tuning fork based techniques are associated with low power dissipation, they are particularly useful for low temperature operation, but in some examples, probes can be secured to cantilevers instead of tuning forks.
The probe tip 103 can be configured to enhance or select a particular surface interaction. For example, a silicon based probe can be provided with a magnetic tip coating such as, for example, a cobalt alloy coating, for Magnetic Force Microscopy (MFM) or a conductive coating for Scanning Tunneling Microscopy (STM).
The stage ultrasonic transducer 120 can be configured to detect ultrasonic signals propagating in the specimen 114 or specimen stage 122 and associated with interactions of the probe tip 103 and the specimen 114. A detected output signal VUS associated with the ultrasonic signal at the specimen or specimen stage is output by the lock-in 126B. This signal can be used to produce a two dimensional image of the specimen 112 in the same manner as a detected frequency shift or change in Q of the tuning fork 104.
In representative examples, a polished silicon wafer is used as the specimen. The probe is a tapered optical fiber (3M fiber FS-SC-6324) fabricated by using a tube etching method which produces a probe tip having a radius of about 30 nm. Such methods are described in, for example, Stöckle et al., “High-quality near-field optical probes by tube etching,” Appl. Phys. Lett. 75:160-162 (1999). The probe is attached to a commercially available 215 Hz tuning fork which can serve to apply and sense a lateral (shear) force. Because of the additional mass and internal friction associated with attachment of the probe to the tuning fork (typically, the fiber is glued to the tuning fork), the resonant frequency of the tuning fork shifts to a lower frequency. In one example, the resonant frequent shifts to about 31,283 Hz and the tuning fork Q decreases to about 103.
In operation, the TF can be driven by a constant amplitude AC voltage Vd supplied or controlled by the signal generator 108. A constant voltage amplitude TF drive corresponds to a constant force drive. Probe/specimen displacement is controlled using a piezo tube actuator such as an EBL 3 actuator available from Staveley Sensor Inc. Such an actuator has a sensitivity of about 20 nm/V and can be controlled with a variable DC voltage Vz. An SE35-Q ultrasonic sensor (available from Dunegan Engineering Consultants, Inc) can serve as the ultrasonic sensor. A layer of vacuum grease can be used between the specimen and the ultrasonic sensor to increase the efficiency of ultrasound transmission. The ultrasonic signal can be detected by the lock-in amplifier 126B. The signal used to drive the tuning fork can be used as a reference signal for the amplifiers 109A, 126A.
As the probe tip approaches the specimen, the resonant frequency and the damping rate (Q) of the tuning fork are changed by conservative and dissipative probe-specimen interactions, respectively. To evaluate the probe-specimen interaction at different heights, the frequency spectrum of the TF admittance is measured using the detection system 109. Using an equivalent electrical circuit model, the resonant frequency and the damping rate change can be estimated by fitting the admittance data as described in, for example, Karrai and Tiemann, “Interfacial shear force microscopy,” Phys. Rev. B 62:13174 (2000).
The motion of TF can be described by the Newton equation:
M{umlaut over (x)}=Fdrive+Fdamp+Frestore=Fdrive−Mγ0{dot over (x)}−k0x, (1)
wherein x is the displacement of the TF vibration, Fdamp is a damping force, Frestore is a restoring force due to the TF's elastic deformation, M is an effective mass, γ0 is a damping rate of the free TF in air, and k0 is a TF spring constant.
Dissipative and conservative probe-sample interactions and associated forces, Fdissipate and Fconserve, respectively, can contribute to tuning fork motion as follows:
wherein γ is an effective damping rate due to the dissipative interaction and k′ is a force gradient due to the conservative interaction. The time averaged power dissipated in the velocity dependent dissipative interaction −Mγ′{dot over (x)} is negative, and the time averaged power of the displacement dependent conservative interaction −k′x is zero. γ is a total damping rate, and k is a total restoring force gradient.
The electrical response of the TF can be linked to a mechanical response model based on a piezo-electro-mechanical coupling constant α as follows:
(Note that Q is also used sometimes herein to refer to resonator quality factor). Because of a parallel capacitance Cp of the TF, an electrical admittance of the TF is:
By fitting measured data to the above model formula, the admittance of the TF and values for L, R, C, Cp can be estimated. In one example, dimensions of the TF tines (length, width, height, respectively) are l=4 mm, t=0.6 mm, and w=0.33 mm, so that kbareTF=(E/4)w(t/L)3=22×103 N/m. For the bare TF in an ambient environment, C=1.135×10−14 F. Thus, using the equation 1/C=k/2α2, the piezo-electro-mechanical coupling constant α of the TF in this example is about α=11×10−6 C/m.
In steady state TF oscillation, the time averaged power consumed by the dissipative probe-sample interaction can be calculated by the mechanical model and the equivalent circuit model separately as
wherein R0 is the equivalent resistance of the TF when it is far away from the probe-sample interaction region. The dissipative power has a peak at the resonant frequency ω02=k/M=1/(LC). TF driving voltages of about 60 mV, 30 mV, 14 mV, and 6 mV are used, and correspond to drive forces of about 660 nN, 330 nN, 154 nN, and 66 nN, respectively. Approximately the same TF admittance change was obtained for each of these drive voltages.
There are two different regions of the probe-sample interaction can be observed in
Referring to
Referring to
The “negative” correlation between the TF and ultrasonic signals (that is, one decreases while the other increases, and vice versa), is a common behavior observed with different types of samples such as glass, atomically flat mica, silicon wafers, and stainless steel, with thicknesses from less than about 1 mm up to about 5 mm. In some cases, however, a positive correlation is observed.
After the probe tip appears to have contacted a solid surface (curve H), further movement of the probe tip to the sample does not generally produce an increase in TF signal amplitude. In addition, slightly different z-axis control voltages produce frequency response curves (shown as dashed lines) situated about the curve H without appreciable resonance frequency shifts. Thus, the probe tip signal appears to correspond to clamping of the probe tip to the sample. However, even with the probe tip clamped in this manner, ultrasonic signal magnitude can vary considerably as can be noted in the dashed line curves of
The TF signal exhibits different behaviors for displacements on either side of a displacement associated with curve q, and, for convenience, the curve q displacement can be defined as a z=0 reference as a displacement at which the probe tip stops making solid-solid contact with the specimen surface during retraction. A frequency shift of 15 Hz in the ultrasonic signal is observed between spectrum q and spectrum v (an additional probe tip retraction of about 80 nm). Notice also that the intensity of the ultrasonic signal varies with the frequency shift; the greater the resonant frequency shift, the greater the ultrasonic signal Thus, the adsorbed layer is associated with both a damping force and an elastic restoring force.
Scanning probe microscopes that sense acoustic or ultrasonic signals in a specimen such as described above are well suited for analysis and evaluation of a wide variety of specimens. For example, nanofluid channels or devices can be characterized. Coupling and propagation of acoustic waves into the specimen by a scanning probe tip can be used to investigate subsurface specimen properties, such as cavities configured as nanofluid channels.
In view of the many possible embodiments to which the principles of the disclosed technology may be applied, it should be recognized that the illustrated embodiments are only preferred examples and should not be taken as limiting the scope of the technology. For example, various types of acoustic transducers can be used to apply and/or detect acoustic or ultrasonic signals. Piezo-electric transducers are convenient. These transducers can be configured as resonant mechanical structures such as tuning forks or other acoustic resonators. Alternatively, a driver or detection circuit can be coupled with an acoustic transducer to produce a resonant device based on the transducer/circuit combination. Detected signals can be processed with narrowband, phase sensitive circuitry, or frequency shifts, changes is admittance spectra, or changes in Q can be otherwise detected. For convenience, piezo-electric transducers in stage translators used to position the probe tip to contact a specimen or for scanning in image formation can be used to detect or apply acoustic signals as well.
As described in the above examples, an ultrasonic transducer is configured to detect acoustic signals produced by an oscillating tuning fork. In other examples, the ultrasonic transducer can be used to produce an acoustic wave or other acoustic vibration that is coupled to a probe configuration such as that of
An additional representative example is illustrated in
Accordingly, we claim as our invention all that comes within the scope and spirit of the appended claims.
This application claims priority from U.S. Provisional Patent Application No. 60/663,557, filed Mar. 18, 2005, and that is incorporated herein by reference.
Number | Date | Country | |
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60663557 | Mar 2005 | US |