Introduction

Fabrication of shape memory alloys (SMAs) with nanometer dimensions is important for experimental exploration of extrinsic size effects on the martensitic transformation (MT) and concomitant shape memory responses, which can potentially validate simulated behaviors. To date, top-down fabrication using the focused-ion beam has been used to produce pillar specimen geometries with two-dimensions of micrometer down to sub-micrometer scales [1,2,3,4]. Nano-compression using nanoindentation has been used for the deformation of SMA nanopillars [1,2,3]. Studies of nanopillars have uncovered size effects on shape memory behaviors. For example, ultrahigh superelastic hystereses exist at the nanoscale in contrast to bulk scale [4]. As the pillar diameter decreases below a limit (~200 nm), the stress-induced martensitic transformation becomes suppressed [3]. Tensile deformation, however, has yet to be investigated for SMA nanopillars.

Bottom-up fabrication of SMA nanowires has transformative potential for tailoring the chemistry and microstructure of nanoscale SMAs. Furthermore, freestanding nanowires can be studied using fundamental tensile experimentation via microelectromechanical systems for in situ electron microscopy [5]. Nanowires have been fabricated using methods such as shadow deposition [17, 18], focused ion beam [6], dip-pen nanolithography [7], vapor–liquid–solid process [8, 9], and template synthesis [10,11,12]. Indium–Thallium SMA nanowires have been successfully fabricated using a bottom-up template synthesis technique: the mechanical pressure injection method (MPIM). Melted materials were injected into an anodized aluminum oxide template to produce nanowires with diameters ranging from 10 to 650 nm [10, 13]. However, MPIM is limited to alloys with melting temperatures lower than the templates (e.g., ~660 °C for aluminum) and thus could be challenging for the flagship SMA NiTi (~1300 °C). In this work, we utilize a novel technique referred to as nanoskiving [14], which has potential applications to the diverse classes of SMAs including NiTi-based, Cu-based, and Fe-based compositions.

Nanoskiving combines thin film deposition with ultra-thin sectioning via ultramicrotomy, and was introduced to fabricate gold nanowires in 2006 [15]. Since then, numerous materials have been successfully fabricated using nanoskiving such as metals [16, 17], ceramics [18], semiconductors [18, 19], polymers [20, 21], as well as sophisticated nanostructures such as high-aspect-ratio rings [22], heterojunctions [20], and arrays of crescents and coaxial cylinders [19]. Typical functional SMA thin films have thickness on the order of 1–10 microns [23,24,25,26]. Our previous work discovered that biased target ion beam deposition (BTIBD) can produce nanoscale thin films with an ultra-smooth surfaces [26], a minimal diffusion interface [27], and the absence of columnar-void morphology for promoting crystallization [28]. Recently, we demonstrated nanoskiving successfully for NiTi alloys [29], which was the first demonstration on any metallic alloy system. In that previous work, as-deposited, magnetron sputtered thin films were nanoskived, which produced 250-μm-long nanowires (in contrast to ~10 μm nanowires by other techniques) with 120 × 90 nm cross-sectional dimensions. For the current work, we employed this novel BTIBD technique for thin film deposition, rapid thermal annealing (RTA) for crystallization, and nanoskiving for generation of nanowires.

Experimental

NiTi alloy thin films with 800 nm thickness and Ti-50.3 at.% Ni composition were deposited using separate elemental Ni and Ti targets in the BTIBD system (4Wave Inc., Sterling, VA, USA). The BTIBD system is located at The Pennsylvania State University. The technique utilizes a high output, low-energy plasma source that promotes adatom mobility. Pulse-biasing on the targets facilitates controlling the film composition. Moreover, BTIBD uses low processing pressure (10−4 Torr) in comparison to sputtering (10−2–10−3 Torr) which reduces backscattering during deposition. Deposition parameters including power calibration, processing pressure, target biasing and other processing parameters have been detailed in previous works [26, 28, 29]. Films were deposited on Si substrates, which were 4.2 × 4.2 and 25.4 × 25.4 mm2 squares cut from a six-inch Si wafer. To crystallize the as-deposited thin films, a 600 °C, 10-min heat treatment was carried out in a rapid thermal annealing furnace (RTA, Allwin21 Corp., Morgan Hill, CA, USA) at a ramp rate 30 °C/s.

The NiTi alloy thin films deposited on 25.4 × 25.4 mm2 Si substrates were characterized using the substrate curvature measurement technique. The measurements were made using the FLX-2320, Tencor Instruments (KLA-Tencor Corp., Manassas, VA, USA). The temperature was cycled between 25 and 80 °C. The heating rate was 1 °C/min while natural cooling from 80 to 25 °C typically lasted ~1.5 h. The substrate curvature measured at each temperature was converted to film stress using Stoney’s equation and the conversion details have been reported elsewhere [25, 30]. Film stress versus temperature was plotted and the results are shown in Fig. 1a. A negative slope results from the coefficient of thermal expansion (CTE) mismatch between the substrate and the film. The phase transformation corresponds to the change from a negative to positive slope. The stress due to the transformation can exceed that due to CTE mismatch and thus the slope becomes positive [31].

Fig. 1
figure 1

a Film stress versus temperature in BTIBD NiTi alloy films after annealing at 600 °C for 10 min. The transformation temperatures, R s, R f, A s, A f are determined by the tangent method. b XRD spectra at room temperature

X-ray diffraction (XRD) was conducted at room temperature in order to confirm the crystal structure using a grazing incidence mode in an X-ray diffractometer (X’Pert MPD, PANalytical, Westborough, MA, USA) with a Cu Kα 1 X-ray source (λKα = 1.5418 Å). The scan step was 0.026 degrees and the step time was 0.5 s. The collected XRD spectra were indexed using Jade 2010 software (Materials Data Inc., Livermore, CA, USA). The indexing peaks are shown in Fig. 1b and the R-phase is identified with one major peak (300). The Ti2Ni phase is a precipitate that occurs during the heat treatment. The single (300) peak, instead of two split peaks (300) and (11-2), suggests preferential orientation, as previously reported in [32, 33]. It is expected that the residual stress stabilizes the R-phase and thus conversion to B19′ martensite is not observed. The transformation temperatures are R s = 61 °C, R f = 44 °C, A s = 48 °C, and A f = 64 °C. The stress magnitude changes by approximately 30 MPa upon transformation. The thermal hysteresis defined by A s − R s equals 4 °C, which is comparable to the nearly 2 °C hysteresis that has been reported for the R-phase transformation in bulk samples [34, 35].

The nanoskiving technique is illustrated in Fig. 2. In step (a) of Fig. 2, a NiTi alloy thin film was deposited on a 4.2 × 4.2 mm2 Si substrate. The thin film underwent the same BTIBD deposition and heat treatment as the aforementioned film, which showed the R-phase transformation. Therefore, the same behavior and atomic crystal structure are expected. The thickness of the thin film was 800 nm, which was dictated by the deposition time, and equals the thickness of nanowires. For step (b), epoxy was an eponate 12™ Embedding Kit (Ted Pella, Redding, CA, USA). The thin films naturally delaminated from the substrate. Delamination was likely due to stress relief [30] and facilitated mechanical transfer as peeling off was not necessary. The BTIBD NiTi alloy thin film was transferred into the epoxy liquid for complete enclosure, which was subsequently cured in an oven at 60 °C for about 12 h. The rough cut in step (c) established the length of the nanowires. The epoxy/film/epoxy sandwich was cleaved using a razor blade into a block with one end trimmed into a cross section area of 1 mm by 1 mm.

Fig. 2
figure 2

Schematic showing the process of nanoskiving to generate nanowires from BTIBD NiTi thin films. The dimensions of the nanowires are individually controlled: a the thickness is dictated by thin film deposition time; c the length is established by the rough cut distance; and d the width is determined by the sectioning interval

In the final step (d), slabs were sequentially sectioned from the block using an ultramicrotome (EM UC6, Leica Microsystems Inc., Buffalo Grove, IL, USA) with precise, automated control. The sectioning interval prescribed in the ultramicrotome established the width of the slab (and thus the nanowire). In contrast to the glass knife used in our previous work, the current work employs a diamond knife in order to maintain uniform contact between the knife-edge and the slab. In one session of sectioning, fourteen slabs were continually sectioned using a speed of cutting 1 mm/s. Of note is that the rate of sectioning slabs was 1 Hz, and more than 500 slabs can be generated in 20 min. The slabs were collected using a copper grid for transmission electron microscopy (TEM) analysis. Slabs for optical microscopy imaging were collected using 4.2 × 4.2 mm2 Si substrates. In order to expose the nanowires, residual epoxy was etched away in step (e) using a desktop plasma etcher (M4L, PVA TePla America Inc., Corona, CA, USA) under 550 mTorr pressure, 200 Watt power, and 150 sccm oxygen for 18 min.

One representative slab after sectioning in Fig. 2 was examined in an optical microscope (L200ND, Nikon Inc., Melville, NY, USA) and the images are in Fig. 3a and b. The color of slabs can be used to estimate their width based on comparison to an interference card [36]. The color of the slabs in Fig. 3a corresponds to a width of ~200 nm and matches the prescribed value during sectioning in the ultramicrotome. Ideally, the sectioned nanowires are expected to lie flat and parallel to the slab [20, 37]. The NiTi alloy nanowire in Fig. 3a and b is curled out of the plane of the epoxy slab. A trace is identified within the epoxy slab in Fig. 3a and b that denotes the region from which the nanowire curled out-of-plane.

Fig. 3
figure 3

a Bright-field and b dark-field optical images of an epoxy slab containing a NiTi nanowire with 200 nm width. The trace arises after the nanowire is curled out of the plane parallel to the epoxy slab

Results and Discussion

A series of nanowires were sectioned from one block with differential widths prescribed. Representative nanowires are shown in Fig. 4. The lengths of the nanowires are on the order of 100 μm. For example, the nanowires with 90 nm widths are about 200-μm-long and the 200-nm-wide nanowires are up to 1000 μm long. For the ~800-nm-thick nanowires with widths of 200, 70, and 50 nm as in Fig. 4, the corresponding thickness-to-width ratio is 4:1, ~11:1, and 16:1, respectively. The 200-nm-width nanowires have a spiraling, helical shape. For the 90 nm down to 50-nm-width nanowires, straight segments are apparent along with large curvatures, markedly different from the spiraling, helical shape. The 90- and 70-nm nanowires have extended straight segments by comparison. The curved regions likely originate from residual stress after thin film deposition and subsequent release after sectioning and etching.

Fig. 4
figure 4

Optical images of free-standing NiTi nanowires, after epoxy is etched, with differential widths generated from nanoskiving

Free-standing nanowires were analyzed in a 200 kV TEM (FEI Tecnai G20, Hillsboro, OR, USA) equipped with an energy dispersive X-ray spectroscopy (EDS) detector (EDAX, division of AMETEK, Berwyn, PA, USA). The results are shown in Fig. 5. In Fig. 5a, multiple nanowires are shown that are clustered on the Cu grid. Figure 5b and c, respectively, shows the views along the width direction and along the thickness direction of one nanowire. The nanowire has a 90 nm width and 800 nm thickness. In Fig. 5b and c, the nanowire is continuous without breaks. The continuity over the length is consistent with our previous work [29], in which the nanowires had a cross section of 120 nm thickness by 90 nm width. The elements of Ni and Ti were detected by EDS analysis. In Fig. 5d, the signal of Si came from the detector and Cu came from sample holder and/or grid. Figure 5d confirms the alloy nature without the presence of oxygen impurities.

Fig. 5
figure 5

ac Bright-field TEM images of free-standing NiTi nanowires with 800 nm thickness and 90 nm width. A coordinate system is added in b and c to indicate the viewing direction: L stands for length, W for width, and T for thickness (L, W, and T are defined in Fig. 2 e). Thus, b is a viewing direction parallel to W and c is a viewing direction parallel to T. A representative EDS profile is shown in d

Of note is that one can have control on the parameters of nanoskiving to influence the shape of generated nanowires shown in Fig. 4. Compared to perpendicular sectioning employed herein, parallel sectioning (the edge of thin films parallel to the direction of sectioning) tends to generate high rate of fragmentation, leading to nanowires with small length and can induce roughened surface morphology [18], which could bring about distinct level of force during sectioning and thus shape of nanowires. The speed of cutting, which in a range from 0.1 to 8 mm/s has been shown no effect on the rate of fragmentation [18, 38], could impose influence on the overall shape of nanowires. Controls on the Ni concentration in NiTi thin films and the level of heat treatment as well as the choice of embedding epoxy (Young’s modulus larger than 1500 MPa [14]) allow the extent of adjusting the properties of sectioning materials and ultimately influencing the geometric shape of product nanowires.

Conclusions

In summary, we utilized a novel thin film deposition technique, BTIBD, and the nanoskiving technique to fabricate NiTi alloy nanowires. In contrast to our previous work on sputtered NiTi films, the as-deposited BTIBD NiTi films herein underwent heat treatment in rapid thermal annealing. Moreover, the substrate curvature measurement confirmed the shape memory behavior, and the underlying martensitic crystal structure was determined to be the R-phase. Nanoskiving was shown to produce variable geometric cross-sectional dimensions. The length and width of the nanowires were controlled by a cutting/sectioning process. Nanowires exhibited a high aspect ratio of length to cross-sectional dimensions; with a fixed thickness of 800 nm, wires were made with varied widths of 200, 90, 70, and 50 nm.

In conclusion, BTIBD and nanoskiving can produce NiTi alloys in the form of nanowires that are very long (100–1000 μm) and free of oxygen impurities. The nanowires had high aspect ratio maybe described as nanoribbons. The cross-sectional dimension influences the form of the nanowires: 200-nm-wide nanowires have a spiraling shape while an extended straight segments exists for those nanowires with widths below 90 nm. The 50-nm-wide nanowire was thermally cycled in TEM; however, the phase transformation was not evident. For the larger width wires such as 200 nm, both thickness (~800 nm) and width prohibited electron transparency. It is our contention that mechanical load may provide the necessary driving force to stress-induce the martensitic phase transformation. Future work must characterize the atomic structural dependence with temperature change, and explore novel nanoscale thermo-mechanical testing. Nanoskiving is capable of controlling the geometric dimensions of NiTi alloy nanowires and is advantageous as a generic nanofabrication method that is applicable to other shape memory materials, which paves pathways for design and development of advanced actuators and sensors in nanoelectromechanical systems (NEMS).

This work utilized nanoskiving to generate nanowires and control the nanoscale cross-sectional dimensions. However, microstructural length scales (e.g., grain or precipitate morphologies) are not investigated. Using heat treatment to control the intrinsic length scales allows for studying the effects of microstructure constraints and the interplay with geometric size. For nanoscale shape memory alloys, we can provide new understandings concerning the scaling of martensitic transformation morphology (e.g., width and periodicity of variants). Advanced nano-thermomechanical experimentation can be used to correlate that scaling to the shape memory properties (including recoverable strains and hysteric behaviors).