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Patrick Stender, Baptiste Gault, Tim M Schwarz, Eric V Woods, Se-Ho Kim, Jonas Ott, Leigh T Stephenson, Guido Schmitz, Christoph Freysoldt, Johannes Kästner, Ayman A El-Zoka, Status and Direction of Atom Probe Analysis of Frozen Liquids, Microscopy and Microanalysis, Volume 28, Issue 4, 1 August 2022, Pages 1150–1167, https://doi.org/10.1017/S1431927621013994
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Abstract
Imaging of liquids and cryogenic biological materials by electron microscopy has been recently enabled by innovative approaches for specimen preparation and the fast development of optimized instruments for cryo-enabled electron microscopy (cryo-EM). Yet, cryo-EM typically lacks advanced analytical capabilities, in particular for light elements. With the development of protocols for frozen wet specimen preparation, atom probe tomography (APT) could advantageously complement insights gained by cryo-EM. Here, we report on different approaches that have been recently proposed to enable the analysis of relatively large volumes of frozen liquids from either a flat substrate or the fractured surface of a wire. Both allowed for analyzing water ice layers which are several micrometers thick consisting of pure water, pure heavy water, and aqueous solutions. We discuss the merits of both approaches and prospects for further developments in this area. Preliminary results raise numerous questions, in part concerning the physics underpinning field evaporation. We discuss these aspects and lay out some of the challenges regarding the APT analysis of frozen liquids.
Introduction
Atom probe tomography (APT) provides 3D elemental mapping, typically with sub-nanometer resolution (De Geuser & Gault, 2020; Gault et al., 2021), and an elemental sensitivity down to the range of tens of parts per million (Haley et al., 2020). Deploying these capabilities of APT to study wet chemical systems has been hindered by the lack of available specimen preparation strategies for frozen liquids. Early efforts in this direction were reported (Stintz & Panitz, 1991, 1992; Pinkerton et al., 1999); however, no workflows have established the use of the APT technique for routine analyses of frozen liquids. This contrasts with transmission electron microscopy (TEM), which over the past decades has seen tremendous developments in standardized workflows allowing preparation and handling of specimens at cryogenic temperature (Livesey et al., 1991; Marko et al., 2007; Parmenter & Nizamudeen, 2021), as well as the analysis of liquids via graphene encapsulation (Park et al., 2015), recently achieving atomic resolution (Nakane et al., 2020).
For routine APT analysis, all data is acquired at a cryogenic base temperature (typically 20–80 K), but the preparation of specimens by electrochemical polishing (Miller, 2000) or focused-ion beam (FIB) (Prosa & Larson, 2017) is typically performed at room temperature. There have been efforts to perform electrochemical polishing at temperatures in the range of −30°C (Lefebvre et al., 2002; Dumitraschkewitz et al., 2019). Ongoing worldwide efforts aimed at pushing the development of “cryo-APT” for specimen preparation and specimen transfer (Perea et al., 2017; Stephenson et al., 2018; McCarroll et al., 2020) might help taking a step forward in the feasibility of APT analysis of layers of liquids or liquids embedded into a hard structure—see for instance the recent reports of APT analysis of n hydrated glass by Schreiber et al. (2018) and Perea et al. (2020)—and the associated solid–liquid interface. Efforts involving graphene encapsulation akin to a liquid cell for TEM have been reported by the group at Monash–Deakin (Qiu et al., 2020a, 2020b). The liquid is sandwiched between a single graphene sheet and a sharpened metallic needle. The liquid volume was very small and the freezing was uncontrolled, leaving many questions unanswered as to whether the distribution of elements within the liquid was affected by the freezing process.
To enable precise analyses on larger volumes, which are more relevant to nanoparticles or biological systems, advanced strategies for specimen preparation and systematic studies are necessary to assess the performance limits of cryo-APT. The development of these methods could, in part, borrow from the biological sciences—for instance, cryo-scanning electron microscopy (SEM) and cryo-FIB are more common in biology, but are now emerging in APT (Schreiber et al., 2018; Chang et al., 2019; Lilensten & Gault, 2020; Rivas et al., 2020). Such protocols could unlock the potential for APT of carbon-based materials, and even go beyond the studies scattered across the literature (Panitz, 1982; Gault et al., 2009; Prosa et al., 2010; Narayan et al., 2012; Nickerson et al., 2015; Perea et al., 2016; Eder et al., 2017; Rusitzka et al., 2018). In addition, they could offer an opportunity to study active materials, e.g. catalysts, in their native or in operando environment. Typically, conventional FIB-based preparation methods remove samples and embed in them in a foreign medium, which may alter or damage them (Felfer et al., 2015; El-Zoka et al., 2017; Kim et al., 2018, 2019). Near-atomic scale analysis of “bulk” ice may also lead to insights into the behavior of solutes in solution for instance, including distribution of impurities or segregation in natural ice.
Here, we discuss the details of two recently developed specimen preparation strategies that have enabled the APT analysis of frozen water, frozen water-based solutions, and embedded nanostructures. The first approach utilizes liquid-nitrogen (LN2) plunge-freezing a flat nanoporous gold (NPG) film previously immersed in water. The ice film is subsequently turned into a needle using a moat-type approach (Halpin et al., 2019). The second approach utilizes a commercial plunge-freezing device leading to the likely formation of ice from a droplet deposited with a micro-pipette on top of a wire-shaped blank. The droplet is then reduced into a sharp needle by annular milling. Both protocols, i.e. on the flat substrate or the wire, then involve cryo-vacuum transfer into an atom probe for analysis. APT data from both approaches are shown and briefly compared. The challenges inherent to these two approaches are also discussed, as well as some of the key problems that will need a community effort to be tackled, to fully enable routine APT analysis of frozen liquids.
Porous-Flat-Substrate-Based Preparation
Overview

Workflow adopted for the analysis of frozen liquids on flat substrates. (a) Sample is frozen in an LN2-filled dewar. (b) Sample is transferred inside a UHVCT. (c) APT tips are fabricated inside the cryo-PFIB. (d) APT tips are analyzed in the CAMECA LEAP 5000XS.
Formation of the NPG
NPG is formed by the dealloying of Ag in acidic, oxidizing conditions from a solid solution of Ag–Au (Newman, 2010; Erlebacher et al., 2012). The selective dissolution of Ag occurs concurrently with the surface diffusion of Au, leading to the formation of a three-dimensional, open-pore, bicontinuous structure. Pore/ligament sizes could be as fine as 3–20 nm (El-Zoka et al., 2018; 2019). NPG exhibits a high surface-area-to-volume ratio and as such has found potential applications in electrochemical sensing and actuation (Xue et al., 2014), as well as in catalysis (Zugic et al., 2017). Note the considerable hydrophilicity of NPG compared to flat polycrystalline Au (Raspal et al., 2012), and that solutions can penetrate well into the thickness of NPG (El-Zoka et al., 2017). We sought to take advantage of NPG as a substrate for APT analysis of frozen water and salt-water solution. An Ag77Au23 foil with a nominal area of ~1 cm2 and a thickness of 150 μm was first mechanically polished and then annealed for 1 h at 900°C in an Ar atmosphere. The foil was immersed for 5 min in an aqueous solution of 65% nitric acid. The foil was then transferred into heavy water, i.e. D2O (Sigma-Aldrich, Germany, 99.9 at% D (Deuterium)) in order to stop the dealloying. The foil was then mounted on a commercial clip holder, typically used to hold Si-microtip coupons in the CAMECA atom probes. Once mounted, the sample is left immersed in D2O overnight at room temperature to avoid drying.
Manual Plunge-Freezing and Specimen Transfer

(a) Schematic view of the setup for the preparation on NPG; (b) photo of the clip-holder and the water-bearing NPG foil, showing the top view of (a); (c,d) schematic and photo of the plunge-freezing setup; (e) photo of the glovebox (Images in (b,c) are from El-Zoka et al. (2020) reused under a CC-BY-NC license.)
Cryo-PFIB
The UHVCT is docked onto a dual-beam SEM/FIB FEI Helios PFIB (Xe plasma FIB). A custom-designed stage is cooled by a set of copper bands connected to a cold finger fitted onto a dewar filled with LN2, and isolated from the microscope's body by spacers made of polyether ether ketone (PEEK). The stage was designed to accommodate a commercial CAMECA APT sample holder, known and referred to as a puck. Following transfer, we imaged the ice layer by SEM and performed cross-sectional imaging to visualize the details of the ice layer.

(a) SEM image of the edge of the water droplet on the NPG and indicative position of the specimen with the outer diameter of the annular pattern and current used to mill the pillar. (b) Au pillar with the ice layer. (c) Sharpened APT specimen of ice on the NPG. (Images in (b,c) are from El-Zoka et al. (2020) reused under a CC-BY-NC license.)
Following the shaping of the specimen, the puck is transferred back into the LN2-cooled UHVCT via a UHV side chamber kept at approximately −160°C. The transfer time is below 15 s. We detached the UHVCT from the PFIB and mounted it for a direct transfer into the buffer chamber of a CAMECA LEAP 5000XS, onto a pre-cooled piggyback puck placed into a slot on the carousel insulated from the rest of the microscope made by PEEK. The puck is hence passively cooled until being transferred into the atom probe analysis chamber.
Atom Probe Tomography

(a,b) Voltage curve and detector hit map obtained from an ice specimen shown in (c). (d) Tomographic reconstruction obtained from this dataset (acquired using a CAMECA LEAP 5000XS). (Images in the figure are from El-Zoka et al. (2020) reused under a CC-BY-NC license.)
Preparation on wires
Overview

Workflow adopted for the analysis of frozen liquids on wire blanks. (a) Sample is frozen in the vacuum-cryo-manipulation system. (b) Sample is transferred inside the VCT500 to the high-vacuum coater for freeze etching. (c–e) Samples are transferred to the Scios FEI for APT tip fabrication. (f) Finally, tip is analyzed in the Inspico-AP.
Dipping Technique for Viscous Liquids on Pre-shaped Wires

Representative dipping results for W wires with different sample geometries in honey. (a) Etched W-tip, (b) W-tip that is etched and cut, and (c) a pristine W-wire.
In the next step, the apex of the tip was removed by subsequent FIB cutting. As a result, a tungsten post with a diameter of approximately 2 μm was fabricated, turning it into a flat top blank. Yet, the result was the same and the drop of fluid did not adhere on top of the post but further down the shank, making this approach unfit for making APT specimens from frozen fluids.
Our goal was to produce droplets as small as possible, since any increase in a diameter of the droplet would result in a dramatic increase in later FIB annular milling processes to produce a suitable tip. Consequently, we increased the post diameter by using commercially available tungsten wires (from 20 to 100 μm). First positive results of droplets sticking to the flat surface of the post were achieved using 75 μm thick wires. Needless to mention, that the production of flat post with a 75 μm diameter using the FIB was a time-consuming procedure and not applicable for fast sample throughput. To get access to a fast-available substrate, we decided to omit any pre-preparation using the FIB instrument.

Scanning electron micrographs (a) of the fractured wired, and (b) close-up on the fractured surface itself; (c) honey drop located at the blank's tip, and (d) the metal–honey interface after the initial annular milling, and (e) pillar ready for final shaping into an APT specimen.
Freezing of Water Droplets
As shown in the previous subsection, the dipping technique using flat tungsten posts works well for high viscosity fluids such as honey. Using this method, it was possible to freeze droplets of reasonable size on top of the post. But for liquids with low viscosity (water, heavy water, and NaCl aqueous solutions), all attempts failed to create a similar droplet on the surface. Only a very thin layer of a few tens of nanometer was detectable, stemming most likely from moisture condensed on the cold wire during transfer.

Summary of the approach for making frozen droplets and shaping them as needles for APT. (SEM images are from Schwarz et al. (2020) reused under a CC-BY-NC license.)
We used pure water, deionized, and filtered through a commercial Millipore Milli-Q system (purity characterized in terms of resistivity ρ > 18 MΩ⋅cm). The high purity should prevent additional peaks from appearing in the mass spectrum. The frozen droplet is 100–200 μm long and 150–250 μm in diameter, and can subsequently be turned into a needle-shaped specimen suitable for APT. This approach is summarized in Figure 8.
Hereupon, the sample holder is transferred into the cooled body of the modified transfer shuttle VCT500 from Leica (T = −164°C), which is initially pumped by an oil-free scroll pump to a pressure of 6⋅10−1 mbar. During the short pumping sequence, the sample may have come into contact with ambient air, and consequentially forming a frost layer on the droplet surface. To allow the transfer into the FIB, the vacuum has to be improved by a further intermediate step. The shuttle is attached to the high vacuum coater (Leica EM ACE600; Fig. 4), in which a freeze etching process can be carried out to remove ice crystals that are formed by the contact with air. By heating up the sample very precisely to a temperature of −90°C and a pressure of 9⋅10−7 mbar for 30 min, a sublimation process from solid ice to vaporous ice occurs, which allows the controlled removal of condensed ice from the environment. On the other hand, the Leica EM ACE600 high vacuum coater is necessary to improve the vacuum conditions inside the VCT500 shuttle into a range of 10−4 mbar, which is a necessary precondition for the transfer into the FIB. Pressure at an insufficient level in the shuttle should be avoided, as it will trigger an auto-shutdown of the FIB as a protection of the system.
FIB Milling
Following freeze etching, the VCT500 is used to transfer the frozen sample into an FEI Scios SEM/FIB via a dedicated load lock. The SEM/FIB is equipped with a custom-designed cryo-stage. The stage is cooled by copper bands connected to a dewar filled with LN2, allowing to reach a temperature down to approximately −150°C. A cryo-shield (Stephenson et al., 2018) is also connected to the dewar, to act as a cold trap and help avoiding re-deposition on the sample during the preparation of the needle-shaped specimen. SEM imaging was typically performed using low acceleration voltage, i.e. 5 kV, and beam current of 25 pA and only by taking snapshots of high scanning speed to prevent sublimation of the sample by electron bombardment. Live imaging of the sample or intense focusing could result in fast melting of the adhered droplet.
Currents and Size of the Annular Pattern Used Through the FIB-Preparation Process.
Current (nA) . | Outer Diameter (μm) . | Inner Diameter (μm) . | Z-Direction (μm) . |
---|---|---|---|
50 | 230–90 | 180–40 | 50 |
30 | 50 | 30 | 50 |
15 | 50 | 20 | 10 |
7 | 50 | 10 | 10 |
5 | 30 | 8 | 10 |
3 | 30 | 6 | 5 |
1 | 30 | 4 | 5 |
0.3 | 20 | 2 | 5 |
100 pA | 15 | 1 | 1 |
49 pA | 10 | 600 nm | 1 |
10 pA | 10 | 300 nm | 1 |
10 pA | 10 | 150 nm | 1 |
Current (nA) . | Outer Diameter (μm) . | Inner Diameter (μm) . | Z-Direction (μm) . |
---|---|---|---|
50 | 230–90 | 180–40 | 50 |
30 | 50 | 30 | 50 |
15 | 50 | 20 | 10 |
7 | 50 | 10 | 10 |
5 | 30 | 8 | 10 |
3 | 30 | 6 | 5 |
1 | 30 | 4 | 5 |
0.3 | 20 | 2 | 5 |
100 pA | 15 | 1 | 1 |
49 pA | 10 | 600 nm | 1 |
10 pA | 10 | 300 nm | 1 |
10 pA | 10 | 150 nm | 1 |
Currents and Size of the Annular Pattern Used Through the FIB-Preparation Process.
Current (nA) . | Outer Diameter (μm) . | Inner Diameter (μm) . | Z-Direction (μm) . |
---|---|---|---|
50 | 230–90 | 180–40 | 50 |
30 | 50 | 30 | 50 |
15 | 50 | 20 | 10 |
7 | 50 | 10 | 10 |
5 | 30 | 8 | 10 |
3 | 30 | 6 | 5 |
1 | 30 | 4 | 5 |
0.3 | 20 | 2 | 5 |
100 pA | 15 | 1 | 1 |
49 pA | 10 | 600 nm | 1 |
10 pA | 10 | 300 nm | 1 |
10 pA | 10 | 150 nm | 1 |
Current (nA) . | Outer Diameter (μm) . | Inner Diameter (μm) . | Z-Direction (μm) . |
---|---|---|---|
50 | 230–90 | 180–40 | 50 |
30 | 50 | 30 | 50 |
15 | 50 | 20 | 10 |
7 | 50 | 10 | 10 |
5 | 30 | 8 | 10 |
3 | 30 | 6 | 5 |
1 | 30 | 4 | 5 |
0.3 | 20 | 2 | 5 |
100 pA | 15 | 1 | 1 |
49 pA | 10 | 600 nm | 1 |
10 pA | 10 | 300 nm | 1 |
10 pA | 10 | 150 nm | 1 |

(a–i) Scanning electron micrographs showing the various steps of the preparation process from the large drop to the needle-shaped specimen suitable for APT. (Images in (a,h,i) are from Schwarz et al. (2020) reused under a CC-BY-NC license.)

(a–f) Six different needles presented in order to show the reproducibility of the length and the shape of the specimen.
Atom Probe Analysis
APT analysis was performed on a custom-made atom probe (Schlesiger et al., 2010), equipped with a ClarkMXR laser system with a fundamental wavelength of 1030 nm, similar to the instrument commercialized by Inspico. By usage of the second and third harmonics, the laser wavelength can be varied between 515 and 355 nm. The system has been modified to accommodate the VCT500 and to enable a fast exchange of the cryogenic samples. The data from the ice specimens was acquired in laser-pulsing mode, with 250 fs laser pulses at a wavelength of 355 nm, focused to a spot size of approximately 50 μm and a repetition rate of 100 kHz. The detector comprises microchannel plates with an open area of 50% and a delay-line detector with a diameter of 120 mm. The sample for APT analysis was cooled down to 63 K. Volume reconstruction was performed following the original point projection method by Bas et al. (1995) using the specimen radius derived from the method proposed by Jeske & Schmitz (2001). The resulting datasets were analyzed using Inspico's Scito software package. SEM pictures were used to determine the initial specimen radius, but high-resolution imaging could not be performed due to the possible melting of the sample. Therefore, the respective value has a rather large error.
Discussion
Specimen Preparation Strategy

Comparison of the two specimen preparation strategies (b,c) to previously reported strategy (a).
We have attempted a range of other possibilities before selecting NPG as a substrate, including a silicon wafer and a commercial microtip coupon, but the hydrophobicity of the substrate made the preparation of suitable specimens almost impossible. The attempts with the thin wire blank discussed above show that the task to find a suitable substrate is arduous. The hydrophilicity and low contact angle of the water droplet on the NPG facilitated the preparation of the specimens by the moat-type approach. The continuous network of pores (Erlebacher et al., 2001; Erlebacher & Seshadri, 2009) provided strength to the ice–substrate interface, allowing for the analysis of the interface. This is, in principle, also the case for the rough fractured surface of the blank itself, yet no results were obtained since the ice layer, in this case, was thicker than 15 μm. The thickness of the ice layer in this latter case could make it easier to embed larger structures, such as an Escherichia coli bacterium is ~ 1 μm in diameter, a typical red blood cell is 2–5 μm, and a human cell is 10–20 μm. In addition, the evaporation field of water appears to be rather low, and the contrast with W might prevent establishing a specimen shape suitable for the field evaporation of the W substrate itself.
The flat substrate approach could in principle allow for depositing solutions containing a range of different solutes or objects. A key limitation of this approach however is the cooling process. In order to obtain a fully amorphous layer of ice, it is necessary to reach a cooling rate of 106 K/s or higher at ambient pressure (Moore & Molinero, 2011), to reach the glass transition temperature (136 K). Estimations of the cooling rate with the current setup indicate that it is 2 orders of magnitude slower than the targeted cooling rate. The large volume of water, and of the bulky metallic substrate underneath, likely makes this harder to control, and maybe difficult to reach the cooling rates necessary for vitrification.
The blank approach presented herein should facilitate the vitrification, as it makes use of commercial devices designed for the cryo-preparation of biological samples, adapted in this case for APT. The crystalline or amorphous nature of the ice analyzed here was not checked. It is likely that this can only be confirmed by TEM. An APT specimen made on a wire blank is a geometry perfectly suitable for TEM imaging, such an additional step would make these cryo-protocols even more complex and could very well lower the yield of successful experiments. In addition, there is a possibility to perform either electron backscattered diffraction (EBSD) on the ice layer (Prior et al., 2015) or transmission Kikuchi diffraction to verify the crystallinity of samples. The former may be easier to apply with the flat substrate method, provided that the appropriate tilt is achievable using the cryo-stage in the SEM. While the wire blank approach is more versatile, it may not easily allow for site-specific preparation, whereas the flat substrate should allow for making the moat, pillar, and final needle-shaped specimen from various regions of the substrate, given that the area of choice is close to the substrate's edge.
There are many options that could be explored in the future—changing the pore size, the nature of the substrate, etc.—and even for crystalline ice, there lies ahead many opportunities for key studies of solute segregation and redistribution during solidification. Using a water-based solution as a carrier medium for embedding nanostructures is also now possible, and crystalline ice may help locate these nanoparticles close to the substrate's surface, making their preparation somehow simpler. The use of the flat substrate may also facilitate the performance of cryo-liftout to select specific regions in large samples to analyze (Parmenter & Nizamudeen, 2021).
Data Comparison and Similarities
The two approaches enable the analysis of layers of ice of ~ 2–80 μm in thickness. Atom probe analysis from insulating materials has now become almost routine, and it was proposed that the electrostatic field and photon absorption by the specimen are enabled by the field-induced bending of the electronic bands combined with surface defect states (Kelly et al., 2014; Silaeva et al., 2014). Whether similar processes take place in ice cannot be concluded at this stage, since the electric conduction in ice is not expected to involve electrons but protons. Nevertheless, APT data was acquired from micron-thick layers of frozen water and solutions.

(a) Mass spectra for the analysis of D2O ice obtained on the flat substrate (in orange, data acquired using a CAMECA LEAP 5000XS). (b) Mass spectra for both H2O and D2O ice obtained on a wire blank (in blue data acquired using an Inspico-AP). Green arrows in (a) and (b) point out what is meant by smaller clusters. (c) and (d) are the same mass spectra as in (a) and (b), respectively, simply displayed up to a higher mass-to-charge ratio.
The data obtained for and H2O and D2O under similar conditions and on different instruments, Figure 12b, highlight the complexity in the formation of the molecular pattern associated with the dissociation process, as studied in part by Schwarz et al. (2020). The increased atomic weight for deuterium-containing molecular ions will make them travel more slowly in the early stage of their flight, where post-ionization (Kingham, 1982) and possible field-induced dissociations (Zanuttini et al., 2017a,) are more likely.
Interesting points arise from the comparison of the data from the two instruments and specimen preparation strategies. For now, it is simply not possible to completely disentangle the origins of these differences. This is due to initial attempts being reported using different acquisition parameters. The levels of background are comparable for the light orange and light blue mass spectra. The relative amplitude of the smaller clusters in the case of the lower laser pulse energy is coherent with the increase in the electrostatic field necessary to maintain the detection rate at 5 ions per 1,000 pulses on average. However, the set of peaks for lighter molecular ions appears to be more abundant in the data from the Inspico instrument, Figure 12b. A comparison between the patterns formed for D2O on the two instruments, Figures 12a and 12b, highlights that the data acquired from the flat substrate on the LEAP is at a lower overall field compared to the wire blank in the Inspico instrument, as no atomic H or D arising from dissociations is observed in the orange mass spectra. This is also consistent with observations on many other elements with a tendency to form molecular ions during APT analysis (Müller et al., 2011b; Mancini et al., 2014; Santhanagopalan et al., 2015).
In addition, the set of peaks around 44 Da appears in Figure 12b and was attributed to (HOOOH)(H3O)22+, i.e. a doubly charged ion (Schwarz et al., 2020), using simulations based on the density functional theory. There is also a possibility that it could be Ga(H3O)2+, as Ga was used for the specimen preparation. Either way, the appearance of doubly charged ions suggests higher electrostatic field conditions. The laser fluence in the case of the data from the flat substrate analyzed in the LEAP 5000XS in the range of 5–8 J/m2, while it is approximately 45–50 J/m2 for the data acquired on the wire blank on the Inspico instrument, and there are three orders of magnitude differences in the peak intensity. These illumination conditions should in principle lead to the data acquired on the Inspico instrument to be under much lower electrostatic field conditions, which is opposite to what is actually observed. Finally, the shape of the mass peaks from the wire blank also suggests that there are significant heat tails, whereas the data from the flat substrate lead to peaks that are almost symmetrical with only little evidence of heat tails. In such a case, the thickness of the ice layer, i.e. 80 versus 5 μm, may be contributing since heat needs to be dissipated through the ice.
The mass spectra in Figure 12 clearly show that the fragmentation pattern, even for supposedly simple molecular liquids like water, is quite complex. Understanding the atomic composition of the peaks is crucial for the reconstruction of the 3D structure, this understanding can be aided by ab initio simulations, which determine the stability of possible fragments (Schwarz et al., 2020), model the fragmentation process itself (Nickerson et al., 2015; Gault et al., 2016; Zanuttini et al., 2017b, 2018), and could also shed light on segregation and other structural changes of frozen water under high electric fields.
Degree of Control on Field Evaporation from Water

(a) Frozen pure Milli-Q water droplet without the freeze-etching process before and (b) after the atom probe measurement. (c) Mass spectrum using high-intensity laser illumination and, inset, detector impact maps at two different times during data acquisition on the Inspico-AP system.

(a) Side view and (b) water droplet without protruding ice crystals before and (c,d) after measurement in the atom probe. (e) Mass spectrum using high-intensity laser illumination and, inset, detector impact map at two different times during data acquisition on the Inspico-AP system. Corresponding mass spectrum and ion impacts on the detector.
As a result, to limit DC evaporation and surface modification, we took care to only leave a single frozen water tip on the tungsten post. For the laser energy, the lowest repetition rate and the lowest pulse energies for this laser spot size are chosen. The absorption coefficient for ice in the UV and visible spectrum is generally very low (Brandt et al., 2006), and only a fraction of the net laser intensity is absorbed. Yet, the localised heating clearly affects the specimen's shape in a way that has rarely been reported for APT of e.g. metals or ceramics (which is not to say that it does not occur). This striking difference may be intimately coupled to the charge and heat transport mechanisms. Good electrical conductors are good thermal conductors, via electrons, when they exhibit a continuous density of states at the Fermi level, a thermal intra-band carrier creation/annihilation dynamics, and a quasi-ballistic short-range transport. Under these general conditions, “hot carriers” will be generated in areas of high temperatures and may thermalize in cooler regions after diffusion. This is certainly the case for metals (Houard et al., 2011), and most likely also applies to semiconductors and insulators in the band-bending scenario, in which the valence band dips below the Fermi level near the surface and becomes partially depleted. In ice, however, charge transport occurs via proton-hopping along existing hydrogen bond networks in a Grotthuss-like mechanism (Park et al., 2014). As these protons neither stem from thermal processes nor conserve the energy along the hopping path, they cannot drag excess heat with them. The bonding of a proton to H2O is an exothermic reaction, so highly localised heating associated to this process could potentially play on role on the detachment of charged surface species.
Open Questions and Future Challenges
There are various aspects that deserve attention in designing future ice analyses.
Field Evaporation and Molecular Ions
Despite our experiments proving feasibility, much remains unknown regarding the field evaporation behavior of ice. Very thin ice layers (Pinkerton et al., 1999; Stuve, 2012) and somewhat thicker layers (El-Zoka et al., 2020; Schwarz et al., 2020) produce qualitatively different results. This could be fundamentally related to different field evaporation mechanisms. For example, atomistic simulations have provided insights into the field evaporation mechanism in metals (Ashton et al., 2020), but changes caused by a dominant protonic conduction have rarely been discussed (Bilgram & Gränicher, 1974). Further complexity arises when considering water clusters under strong electric fields. Their formation and stability have previously been considered both experimentally (Stintz & Panitz, 1992; Stuve, 2012) and by ab initio methods (Karahka & Kreuzer, 2011; Schwarz et al., 2020). It can be hoped that further ab initio modeling, possibly coupled with proton conduction to the surface, will provide insights on cluster formation and its dependence on applied fields and laser heating.
Previous studies found that with a thin ice film, the highest electrostatic field occurred at the metal–ice interface. Our studies here found that even with the ice specimen surface being several micrometers away from the metal–ice interface, field evaporation phenomena were still manifest with conventionally applied potentials. We did not observe any significant mass-to-charge peak shifts that may have indicated a significant voltage drop. Difficulties in triggering any field evaporation from an ice specimen were previously attributed to a large voltage drop spanning the ice thickness (Stephenson et al., 2018). Here, thinner ice layers seemed to allow for the generation of electrostatic fields that are sufficient to trigger field evaporation. This occurred even on the unsharpened specimens (approximately 100 μm in diameter) under high-intensity laser illumination. Systematic variations of the experimental parameters are necessary to begin understanding what is happening and of particular interest is the electrostatic field strength both on the specimen's surface and within the specimen bulk, as this will likely influence molecular field evaporated phenomena.
Analytical Performance
Even for conventional materials, APT's analytical limits (spatial resolution, sensitivity) are not typically available or quantified (Lefebvre-Ulrikson et al., 2016). For example, carbon quantification has been treated multiple times and it is dependent upon instrument performance and upon the field evaporation complexities and dissociative behavior of emitted molecular ions (Sha et al., 1992; Thuvander et al., 2011; Peng et al., 2018, 2019). Further work examining the dissociative behavior of water-based molecular ions will be required, combining experiments and atomistic simulations (Gault et al., 2016; Zanuttini et al., 2017a, 2017b; Schwarz et al., 2020).
An electric field penetrating into a specimen's ice surface could drive ion migration processes, both away or toward the specimen's surface. This influence has been previously discussed, both near the specimen's surface (Wang & Tsong, 1982) or away in the bulk of the specimen (Greiwe et al., 2014) and the resulting reconstruction would obviously differ from the original physical structures. Additionally, heating from laser pulsing can affect the specimen's outer shape (Fig. 15) and, since this affects ion projection (Hyde et al., 1994; Loi et al., 2013), this can introduce uncertainties in a spatial reconstruction. Lastly, the reconstruction protocols typically used across the community (Bas et al., 1995; Gault et al., 2011; Larson, 2013) make use of the atomic volume to calculate the depth increment. But what volume should be used for various molecular ions? Little has been done in the community with respect to such a major issue, and only once has the data been reconstructed (Breen et al., 2013).
Effect of Base Temperature and of laser Pulsing
Optimizing APT's analytical performance and yield is often about balancing the electric field and the temperature via experimental parameter control (Wada, 1984; Gault et al., 2010a, 2010b; Yao et al., 2011; Mancini et al., 2014). To decrease the applied electric field while maintaining evaporative conditions, one can increase the specimen temperature. This is the concept behind laser pulsed atom probe. At higher temperatures, the yield improves but typically at the cost of the spatial resolution (Müller et al., 2011a). The optical absorption by metallic specimens is well understood (Robins et al., 1986; Sha et al., 2008; Vurpillot et al., 2009), including as a function of the wavelength (Houard et al., 2009, 2011). But for ice under high electric fields, such studies have not been done. How does field evaporation behavior change with wavelength and pulse duration? Is the evaporation caused by thermal excitation or by electronic excitation? These questions remain unanswered for the time being.
Ice's Crystal Structure
We do not yet know the ice specimen's crystallography—amorphous or crystalline? And if crystalline, which one of the many possible phases (Engel et al., 2018) occurs? Do the intense electric fields upon the surface cause a structural change? Indeed, APT specimens must sustain a high amount of stress during an analysis, because of the electrostatic pressures generated (Rendulic & Müller, 1967). This stress can cause metallic specimens to fail mechanically during the analysis (Wilkes et al., 1972; Moy et al., 2011). In some cases, the low yield rates simply prevent meaningful analyses. Is this phenomenon relevant at all to frozen liquids? Under high pressures, and even at cryogenic temperatures, ice can deform (Wu & Prakash, 2015), which could lead to a change in the specimen's shape and potentially in the distribution of solutes.
The invention of an experimental protocol investigating an ice APT sample's structure will need to be performed. Assessing the structure may traditionally have been done by field ion microscopy, but the scattered results in the literature do not give strong indications that this will be a simple endeavor (Stintz & Panitz, 1991, 1992; Stuve, 2012). Correlative workflows with TEM have been developed over the past decades (Loberg & Norden, 1968; Felfer et al., 2012; Herbig et al., 2015; Herbig, 2018; Liebscher et al., 2018; Makineni et al., 2018) as well as with transmission Kikuchi diffraction (Babinsky et al., 2014; Breen et al., 2017; Schwarz et al., 2018). Correlative protocols will now need to be adapted for cryo-transmission–Kikuchi diffraction or cryo-TEM to confirm the ice's crystal structure.
Conclusions
All new microscopy developments are underpinned by the ability to prepare specimens, and this study is hence a necessary step toward opening a new playing field for near-atomic scale analysis of solute effects in confined freezing, nano-objects, and molecular or biological materials in their native environment. Much remains to be done to grasp the physics of the field evaporation of frozen liquids, but the preliminary data obtained on two separate instruments from our two separate groups, in parallel, demonstrate the general feasibility of these analyses. Alternative approaches for the preparation of specimens suitable for both TEM and APT are currently under development and will surely progress in the coming years.
Acknowledgments
We thank Uwe Tezins, Christian Broß, and Andreas Sturm for their support to the FIB and APT facilities at the MPIE. Professor Roger Newman from the University of Toronto is acknowledged for providing the Ag–Au alloys. We are grateful for the financial support from the BMBF via the project UGSLIT and the Max-Planck Gesellschaft via the Laplace project. A.A.E., S.-H.K., L.T.S., and B.G. acknowledge financial support from the ERC-CoG-SHINE-771602. The funding by the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) within the Collaborative Research Center (CRC) 1333 (Project No. 358283783) is gratefully acknowledged.