Ultramicroscopy 159 (2015) 73–80 Contents lists available at ScienceDirect Ultramicroscopy journal homepage: www.elsevier.com/locate/ultramic Critical conditions for atomic resolution imaging of molecular crystals by aberration-corrected HRTEM Kaname Yoshida a,n, Johannes Biskupek b, Hiroki Kurata c, Ute Kaiser b a Japan Fine Ceramics Center, 2-4-1 Mutsuno, Atsuta-ku, Nagoya 456-8587, Japan Electron Microscopy Group of Materials Science, University of Ulm, Albert-Einstein-Allee 11, D-89081 Ulm, Germany c Institute for Chemical Research, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan b art ic l e i nf o a b s t r a c t Article history: Received 9 April 2015 Received in revised form 22 July 2015 Accepted 23 August 2015 Available online 24 August 2015 Atomically resolved imaging of organic molecules consisting of thin crystals by aberration-corrected (AC) HRTEM was studied by experimental observations and image simulations. An atomically resolved image of the hexadecachlorophthalocyanatocopper (CuPcCl16) molecule was obtained under low-dose conditions. The conditions for imaging organic frameworks were found to be more restricted than those for heavier elements such as copper and chlorine. For the characterization of the benzene rings within CuPcCl16 molecules, the specimen thickness had to be less than 5 nm. The effects of the defocus conditions were examined by changing the image according to the location of the inclined specimen. The optimal defocus range for atomic resolution imaging of organic molecules was limited to a narrow region around the Scherzer defocus. Compared with scanning transmission microscopy, AC-HRTEM is more suitable for low-dose imaging, but the optimum conditions were severely restricted. & 2015 Elsevier B.V. All rights reserved. Keywords: Molecular crystal Aberration-corrected HRTEM Light element imaging 1. Introduction The development of molecular manipulation techniques for device production, such as organic molecular beam epitaxy (OMBE), allows the formation of fine organic structures [1,2] that are closing in on inorganic semiconductors. To improve the performance of organic devices, it is necessary to characterize their nanostructure, which depends on both their molecular and crystal structure [3–5]. This has stimulated the development of the methodology of organic structural analysis at the nanoscale [6– 10]. Although high-resolution transmission electron microscopy (HRTEM) has been demonstrated to be a powerful technique, its application to organic materials is severely restricted owing to radiation damage to the specimen. Electron irradiation damage has been a serious problem ever since the development of the electron microscope [11–13]. Uyeda et al. were the first to report atomic resolution imaging of an organic crystal in 1979 [14]. By minimizing the electron dose during observation and using an ultrahigh-voltage TEM (UHVTEM) with a high resolving power, they achieved high-resolution imaging of epitaxially grown hexadecachlorophthalocyanatocopper (CuPcCl16) thin films. However, organic frameworks consisting of carbon and nitrogen atoms had not been observed, even though the spatial resolution had been n Corresponding author. Fax: þ 81 52 871 3599. E-mail address: kaname_yoshida@jfcc.or.jp (K. Yoshida). http://dx.doi.org/10.1016/j.ultramic.2015.08.006 0304-3991/& 2015 Elsevier B.V. All rights reserved. close to the carbon–carbon bond length ( 0.14 nm). UHVTEM was unsuited for imaging light elements because of the lower image contrast and intense electron irradiation, implying knock-on damage. In addition to the irradiation damage, the insufficient contrast associated with light elements is a serious problem in HRTEM imaging. Although image reconstruction of CuPcCl16 had also been reported by Kirkland et al. [15,16], 5-membered and 6-membered rings had not been resolved clearly even in such high-resolution images. There are two ways in which light element imaging by HRTEM can be achieved: (i) utilizing a high-sensitivity detector, and (ii) enhancement of image contrast. Both are essential for atomic imaging under very low dose conditions, which result in a noisy, low-signal image. Although highly efficient cameras have been studied extensively [17–20], their applicability to low-damage imaging should be considered from the viewpoint of operability. Our study focuses on the experimental inspection about direct imaging of organic molecular frameworks with HRTEM. Since aberration correction (AC) is now available in state-of-the-art instruments, even light and heavy atomic columns can be separated from each other precisely in the AC-HRTEM image [21–24], and their contrast can be enhanced by fine-tuning the image corrector [25,26]. By choosing the appropriate aberration parameters, such as defocus and spherical aberration (CS) of objective lens, the atomic contrast of certain spatial frequencies in an HRTEM image can be improved; however, the problem of radiation damage largely persists. Direct observation of the six-membered carbon rings 74 K. Yoshida et al. / Ultramicroscopy 159 (2015) 73–80 in a graphene sheet has already been achieved by AC-HRTEM at 80 kV e.g. [27–32] and by AC-STEM at 60 kV [33]. These studies employed microscopes with low accelerating voltage to reduce the knock-on sputtering caused by fast electron bombardment. However, this is not necessarily effective for any material [34]. We also need to consider the radiation chemistry of the specimen for a complete understanding of electron irradiation damage. In the case of organic molecular crystals, irreversible intermolecular or intramolecular reactions induced by radiolysis cause their crystal structures to collapse [11,35,36]. Organic molecular crystals consist of strong covalent bonds within a molecule and very weak intermolecular interactions so that the mechanism of their radiation damage is very complex. The radiolytic process of sp2-carbon materials, such as graphene, fullerene, and carbon nanotubes, is less prone to cause structural collapse because of the stabilization of their ionized state by the entire conjugated system. In addition, the accelerating voltage affects the critical thickness of the weak phase object approximation (WPOA). Since graphitic carbon materials are quite thin, a lower accelerating voltage is more effective in atomic resolution imaging. On the other hand, because molecular crystals cannot be made sufficiently thin, a higher voltage may be needed to obtain atomic structure images. The optimal accelerating voltage for HRTEM observation varies with the type of specimen. In order to determine the critical conditions of specimen thickness and defocus value for structural imaging of an organic molecular crystal by AC-HRTEM, we observed a CuPcCl16 thin crystal (Fig. 1(a)), known to be more radiation–resistant than most other molecular crystals [13], by AC-HRTEM and compared with simulated images. Meanwhile, the new imaging mode of annular bright-field scanning transmission electron microscopy (ABF-STEM) has enabled imaging of extremely light elements, such as hydrogen and lithium atomic columns [37–41]. Furthermore, direct imaging of the organic frameworks in the CuPcCl16 crystal with ABF- and LAADF-STEM had been reported in 2012 [42]. However, illuminating conditions cannot be assigned independently to processes for focusing and acquiring image. The STEM mode is particularly disadvantage to low-dose observation owing to the fixed illuminating condition during focusing, unless minimum-dose-system (MDS) [43] is optimized for STEM imaging. Thus, it is still necessary to improve and explore imaging possibilities for organic molecules by HRTEM. It is desirable for there to be many choices of imaging modes available for soft materials like organic crystals. The combination of Zernike phase plate and AC-HRTEM can be also a powerful technique for direct imaging of soft materials [44,45]. However, ideal phase plates have not been developed so far, so it is impossible to get high-resolution image without any Fig. 2. AFM image of CuPcCl16 and its cross-sectional profile. The arrows in the image indicate the crystallographic directions. artifacts by the current stage. 2. Experimental 2.1. Thin film preparation CuPcCl16 epitaxial thin films were fabricated by using a previously reported procedure [46] with slight modification: the molecules were deposited onto a freshly cleaved KCl (001) surface kept at 590 K by using a sublimation method under a vacuum of o10 5 Pa. The deposition source of CuPcCl16 was purchased from Tokyo Chemical Industry, with further purification of train sublimation. The deposition rate was kept constant at 0.2 nm/min with the aid of a quartz microbalance, and the deposition was stopped once the films reached an average thickness of 5 nm. The morphology of the grown thin crystals was observed by an atomic force microscope (AFM, Digital Instruments NanoScope IIIa). After AFM observation, the CuPcCl16 thin film reinforced with very thin amorphous carbon was transferred onto a microgrid support film for subsequent high-resolution imaging. 2.2. AC-HRTEM observations AC-HRTEM observations were performed using a JEOL JEM2200FS (accelerating voltage: 200 kV) equipped with a CS corrector (CEOS CETCOR). The free parameter CS was set to þ15 mm. The second-order aberrations (coma and threefold astigmatism) and third-order aberrations (fourfold astigmatism and star-aberration) were smaller than the error in the aberration measurement (carried out by iterative tuning of the corrector). All HRTEM images were taken by a slow-scan CCD camera (14 14 mm, 2048 2048 pixels, Gatan UltraScan 1000). The images were magnified by a factor of 450,000 on the camera. Fig. 1. (a) Molecular structure and (b) crystal structure of CuPcCl16. K. Yoshida et al. / Ultramicroscopy 159 (2015) 73–80 75 Fig. 3. Relationship between morphology and crystallographic orientation. (a) A low-magnification TEM image of a CuPcCl16 single crystal. (b) An electron diffraction pattern obtained with the incident beam perpendicular to the film surface and a schematic of the setup. (c) An electron diffraction pattern obtained with the incident beam parallel to the c axis and a schematic of the setup. The pixel size on the digital image captured with this setup corresponded to 0.03 nm/pixel, a sufficient sampling frequency (Nyquist frequency: 17.7 nm 1) compared with the information limit ( 10 nm 1) of the microscope. To get a molecular image, the specimen was tilted by 26.5° around the b axis so that the c axis would be parallel to the incident beam direction. The phthalocyanine molecules overlap finely along this direction. The monoclinic crystal structure of CuPcCl16 [47] with unit-cell dimensions of a ¼1.962 nm, b¼2.604 nm, c ¼0.376 nm, and β ¼ 116.51° is illustrated in Fig. 1(b). To remove the random noise in raw HRTEM images, we applied a Wiener filter [48] based on the two-dimensional fast Fourier transform (2D FFT) method to all HRTEM images. The Wiener filtering combined with a Butterworth filter was executed using the software Digital Micrograph (Gatan Company, Pleasanton, USA). 2.3. HRTEM image simulation Fig. 4. Amplitudes and phases of exit wavefunctions simulated by the multi-slice method. Table 1 Optical parameters for each CS settings estimated under an information limit of 10 nm 1 and accelerating voltage of 200 kV. CS (μm) Defocus Δf (nm) Radius of confusion disk, R (nm) Zero CS mode 0 Extended Scherzer 7 34 Lentzen's CS 7 15 7 4.0 ∓11 ∓7.1 0.1 0.27 0.059 HRTEM image simulation was executed exploiting the multislice method [49] of the software MacTempas X (Total Resolution LLC, Berkeley, USA). By comparing an experimental HRTEM image with a series of simulated through-focus images for various crystal thickness, we determined the optimally focused area in each image. 3. Results and discussion 3.1. Characterization of CuPcCl16 thin film A typical AFM image and height profile of a CuPcCl16 single crystal is shown in Fig. 2. The height profile indicates that the CuPcCl16 crystals exhibit a wedge shape with a maximum thickness of ca. 30 nm. These results also indicate that the wedge angle 76 K. Yoshida et al. / Ultramicroscopy 159 (2015) 73–80 of the CuPcCl16 crystals is very narrow (o2°). The epitaxial relationship between monoclinic CuPcCl16 crystals and KCl substrates has already been reported [47,50]. The {001} planes of epitaxially grown CuPcCl16 are known to be parallel to the substrate surface. Fig. 3(a) and (b) shows electron diffraction patterns with the beam direction perpendicular to the thin film surface and parallel to the c axis, respectively. To observe each independent atomic column, the sample film was inclined at 26.5° around the b axis in the TEM so as to make the c axis parallel to the optical axis. 3.2. AC-HRTEM observations Fig. 5. Phase contrast transfer functions for (a) zero CS, (b) extended Scherzer and (c) Lentzen's CS modes and (d) atomic form factors of constituent elements. PCTFs with dumping factor (solid line), without dumping factor (dotted) and envelope (dashed line). Prior to AC-HRTEM observations, the exit wavefunction at the lower surface of the specimen, which varies with crystal thickness and accelerating voltage, was simulated by the multi-slice method. Fig. 4 shows the amplitudes of simulated exit wavefunctions. With increasing crystal thickness, the electrons converge into individual atomic column positions and lower electron density areas appear in the surrounding regions. The amplitude of the exit wavefunction increases monotonically up to a certain thickness, above which it diverges from the atomic column positions. In particular, the configuration of the five-membered rings in the phthalocyanine framework can only be maintained for a very thin crystal. In order to observe small membered organic rings, the thickness must be less than a critical value at which the wavefunction is reflected in the molecular configurations. The critical specimen thickness decreases with decreasing accelerating voltage. The quantitative analysis of the image contrast deteriorates as the variation in amplitude of the exit wavefunction increases, because linearity of image contrasts is preserved only under the WPOA conditions. The image simulations indicated that the thickness should be less than 3 nm for an electron beam of 80 kV. However, we could not find such thin areas suitable for observation at 80 kV even at the edge of the wedge-shaped crystal. Thus, we employed an accelerating voltage of 200 kV in our study. To enhance the image contrast of light elements, we employed an imaging mode proposed by Lentzen et al. [25]. For this imaging mode, the CS value was adjusted so that Scherzer′s defocus [51] and Lichte's defocus [52] are coinciding. The optimum CS is given by CS ¼ (64/27)λ 3gmax 4, where gmax is the information limit and λ is the wavelength of the electron beam. At an accelerating voltage of 200 kV, the optimal CS value for our microscope with its information limit of 10 nm 1 was þ 15 mm. This CS value, combined with the optimal focus condition, not only enhanced the phase contrast but also minimized image delocalization. The delocalization of the scattered beam for the optimum defocus image in our study was estimated to be less than 0.059 nm from the CS and gmax values. Radii of confusion disk and optical parameters for each CS settings are listed in Table 1. Although confusion disk under zero CS setting is also small, we employed Letzen's CS setting as an optimum CS setting for direct imaging of CuPcCl16 molecules tentatively. When the envelope functions are taken into consideration, phase contrast transfer functions (PCTFs) for each CS settings vary remarkably in low frequency region as shown in Fig. 5. Rather than small CS values, defocus value can be more sensitive to AC-HRTEM imaging of molecular crystals, which have large crystal units. To minimize the radiation damage, all images were captured with the slow-scan CCD camera at a freshly illuminated area of the crystal just after aligning the microscope under very low dose conditions ( o10 2 C/cm2 on the specimen) by using the pixelbinning system of the camera. The electron dose on the specimen for capturing one image with a magnification of 450,000 was 0.4 C/cm2. In order to seek for optimal condition for observations of soft materials, an idea of dose limited resolution (DLR) reported by Egerton [53] seems to be useful. But it is difficult to K. Yoshida et al. / Ultramicroscopy 159 (2015) 73–80 77 Fig. 6. (a) A raw AC-HRTEM image of CuPcCl16 (inset is enlargement of boxed area). (b) A diffractogram of image (a). The two arrows indicate the crystallographic directions (inset is enlargement of boxed reflection). Please note the change of contrast as a function of the defocus condition. Fig. 7. (a) A diffractogram processed with Wiener and Butterworth filters. (b) A filtered AC-HRTEM image formed by an inverse Fourier transform from (a). (Inset is enlargement of boxed area). Please note the change of contrast as a function of the defocus condition. Fig. 8. Schematic of the correlation between specimen tilt and focus condition of HRTEM image. find the optimum conditions for actual high-resolution imaging of organic molecules from the DLR referring characteristic dose (D1/e). The D1/e values are estimated from decay of arbitrary diffraction spots which are indexed comparatively low. Molecular structures can be collapsed severely by electron dose of D1/e, so electron dosage for high resolution imaging of organic molecules must be quite smaller than D1/e. It is important to detect higher frequency components for high-resolution imaging of crystalline samples. Because the actual conditions are too complicated to optimize the each parameter, we had selected the condition in which higher order spot appeared in a diffractogram of acquired image consequently. A raw AC-HRTEM image taken at a very thin area and its diffractogram are shown in Fig. 6. The raw image was comparatively noisy, because of the low electron dose used in image acquisition. But the highest-order spot in the diffractogram, which corresponded to a 0 20 0 reflection, indicated that the detection limit of this image was as high as 7.7 nm 1. This value arose from the high degree of maintenance of the crystal structure during acquisition and/or the high signal-to-noise ratio of the image. 78 K. Yoshida et al. / Ultramicroscopy 159 (2015) 73–80 Fig. 9. (a–d) Images extracted from various areas in a filtered AC-HRTEM image. The defocus value varied by 7.2 nm in going from (a) to (d). (e–h) Simulated TEM images with a specimen thickness of 3.4 nm and a CS of þ 15 mm. The number below each image indicates the defocus value. Fig. 10. (a–d) Images extracted from various sections of a filtered AC-HRTEM image. The defocus value varied by 7.2 nm in going from (a) to (d). (e–h) Simulated TEM images with a specimen thickness of 7.9 nm and a CS of þ 15 mm. The number below each image indicates the defocus value. However, some image processing had to be applied to the experimental image because the image was too noisy to resolve each molecular configuration. As shown in Fig. 6(a), the variation in the image contrast with the focal conditions was clearly visible, even in the raw image. While the change in thickness affects the image contrast, we assumed that the thickness of a given sample captured on any one image was uniform, as described later. from this filtered diffractogram. Compared with the raw image, piled noise artifacts were removed in the processed image. We extracted the optimum focused image from the filtered AC-HRTEM image by exploring along the a axis direction. Owing to the specimen tilt, the focus condition of the image was not uniform, but rather, changed depending on the position along the a axis direction, as shown in Fig. 8. The optimum focusing area can be determined extracted by comparing a through-focus image series in one experimental image and the image simulations. Although the Bragg filter is very common in HRTEM image processing, we did not employ it here. A typical Bragg filter, which applies a periodic two-dimensional net mask to a diffractogram, extracts the spots in a diffractogram regardless of their frequency. The intensity of the random noise caused by the amorphous layer depends on the frequencies of the spots. To prevent the formation of artifacts 3.3. Image processing In addition to the desired signal, the raw images also included noise due to blurring by the amorphous carbon layer and quantum fluctuations in the electron-detecting system (readout noise). Fig. 7 shows a diffractogram processed by a Wiener and Butterworth filter (cut-off frequency at 4 8 nm 1) and an image derived K. Yoshida et al. / Ultramicroscopy 159 (2015) 73–80 due to the periodically masked noise in a diffractogram, we opted to use Wiener filtering in the present study. 3.4. Critical limit of defocus Typical extracted AC-HRTEM images and simulated TEM images are shown in Fig. 9. The defocus interval, which is equivalent to the distance between the lower surface of the specimen and the object plane of the objective lens, of each extracted image was estimated from the specimen tilt angle and the distance between the areas along the a axis. We ignored variations in thickness over the area covered in one TEM image (75 75 nm), because the wedge angle of CuPcCl16 crystals is very small, as shown in Fig. 2. The thickness variation in one TEM image could be less than 1 nm, which is negligible in an HRTEM image of CuPcCl16. Comparison with simulated through-focus images indicates that the thickness of the observed area was less than 4 nm. The phthalocyaninato frameworks consisting of carbon and nitrogen can be seen as a moderate dark contrast in Fig. 9(b). The five-membered rings in the organic frameworks were resolved under a narrow defocus range around the optimum (underfocus: 7.1 nm). Structural images of complex crystals such as molecular crystals are formed by many Fourier components (Fig. 6a). Furthermore, moderate contrasts of carbon and nitrogen columns are strongly affected even by small changes in phase contrasts of heavier atomic columns, such as chlorine and copper. Thus, a structural image of CuPcCl16 could be formed in a small range of defocus around the optimum. Meanwhile, the images taken around zero focus did not agree with the simulated images. Since the phase contrast decreases to a very large extent around zero focus, zero-focus images become very sensitive to small misalignments. In order to improve estimates of image contrast, a detailed understanding and correct adjustment of certain optical parameters are important. Furthermore, inelastic scatterings such as thermal diffuse scattering, which influence the picture of the exit wave, were not taken into consideration in our simulation. This influence is known to be more prominent for high-resolution images [54]. Both phasecontrast and amplitude-contrast effects may contribute competitively to the image taken under a defocus between zero and Scherzer's defocus. To estimate an AC-HRTEM image taken under very low phase-contrast conditions, we need to know the lens parameters and exit wavefunctions more accurately. 3.5. Critical limit of thickness Fig. 10 shows extracted images taken from a comparatively thick area of a wedge-shaped crystal and the corresponding simulated images. The thickness was found to be 5–9 nm through a comparison of experimental and simulated images. Relative to images from a very thin area, the image contrast of organic frameworks in the thicker crystal was enhanced and could be visualized over a wide range of defocus. The image contrast of light elements became insensitive to the deviation from the optimal defocus, owing to the increase in phase contrast. On the other hand, heavy atomic columns such as copper and chlorine in the thicker region were not observed as simple dark dots even under optimum defocus conditions. This was a consequence of the variation in the amplitude of the exit wavefunction. As shown in Fig. 4, with increasing thickness, the electrons converged into each atomic column position by dynamical scattering. Converged exit waves are reflected on the HRTEM image as a brighter contrast at the center of each atomic column, while phase shifts bring a somewhat diffuse dark contrast depending on the projected potentials. Therefore, heavy atomic columns in thick crystals were observed not as simple dark dots but as dark tori, although bright spots in the images of Fig. 10(f) and (g) slant from the center of 79 atomic column locations due to slight misalignment. Especially for observations under low dose conditions, this complication in the image contrast is unfavorable because it makes focusing more difficult. The thickness of the CuPcCl16 crystal should be less than 4 nm for AC-HRTEM imaging with a 200-kV electron beam. 4. 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