Abstract
We demonstrate that EDS measurement can be significantly improved by precessing the electron beam, thereby reducing electron channeling effects. For a SrTiO3 specimen orientated along [001] zone axis, the measured strontium to titanium atomic ratio was 0.74 – 0.80 using conventional EDS methods, and the ratio was improved to ~0.99 by precessing the electron beam for angles greater than 22.54 mRad. In ALCHEMI-like experiments in which the specimen was tilted to near two-beam condition, the strontium to titanium ratio was insensitive to the deviation from the Bragg condition using a precessed electron beam. Similar reduction of electron channeling effects was also observed in precession-assisted EDS measurements for an L21-ordered Fe2MnAl intermetallic alloy tilted to [011] zone axis as well as near two-beam conditions.
Introduction
Owing to its superior spatial and energy resolution, analytical transmission electron microscopy (TEM) techniques such as energy dispersive spectroscopy (EDS) and electron energy loss spectroscopy (EELS) have become powerful tools for probing the local chemistry of thin films and nanomaterials. By counting the characteristic X-ray, EDS is capable of measuring heavy elements as accurate as 1-2% in well-structured experiments [1].
However, EDS measurements can be influenced by many factors such as foil thickness, atomic number, and orientation. When electrons travel through a crystal oriented such that dynamical diffraction effects are strong, the Bloch waves can be enhanced on certain atomic planes [2-4]. This can be exploited to probe the local chemistry and site occupation in ordered intermetallics and oxides [5, 6], a technique known as ALCHEMI (atom location by channeling enhanced microanalysis) [7]. By setting different deviation parameters sz from an exact superlattice two-beam condition, the interaction of the electron with particular atomic planes will be changed, leading to a change in EDS and EELS signal intensity[8].
Electron channeling, however, should be avoided in most conventional EDS experiments. The channeling effect is pronounced when diffracted beams are strongly activated, such as at zone-axis or two-beam conditions. This means that the crystal has to be oriented along either a high-index zone axis or at least tilted off a major zone axis in order to minimize the electron channeling, which is inconvenient in practice. For instance, one wants the specimen to be oriented along a low-index zone axis for high-resolution TEM (HREM), and the most useful diffraction data is typically at or near a zone-axis. When probing nanomaterials, it is often impossible to have all the grains oriented to a high-index zone axis.
Precession electron diffraction (PED), which features a conically-rocking electron beam, has become an alternative method to obtain high quality diffraction data by tilting the beam, rather than the crystal. Invented by Vincent and Midgley in 1994 [9], PED rocks the beam by deflecting the incident beam twice using the upper scanning coils, then descanning by the bottom scanning coils to form a fixed diffraction pattern. It has been shown that a PED pattern is close to what is predicted by the kinematical diffraction theory [10-13]. While it is not correct to interpret PED intensities as kinematical, it appears to be generally true that they are pseudo-kinematical with large structure factors leading to larger experimental intensities, what has been called intensity-ordering [14]. More details about PED structure analysis can be found in references [10-13, 15-32]. Whether PED can be combined with other TEM methods has not yet been fully explored, except a recent paper by Estradé et al. who reported enhanced EELS of strontium titanate (SrTiO3) using PED [33]. In this study, we examine the application of a precessed electron beam in EDS focusing on the local chemical composition.
Experimental
A ~100 nm thick foil of commercial (001)-oriented SrTiO3 single crystal was prepared using conventional ion beam milling. The foil was examined in a JEOL 2100F field emission TEM equipped with EDS and EELS systems; the accelerating voltage was 200 kV. The electron beam was precessed using a home-build precession unit [34, 35]. The electron microscope and the precession system were aligned using the method introduced elsewhere [36, 37] to ensure that the spectra were obtained from the same region.
The specimen was tilted to a [001] zone axis for the zone-axis EDS measurements. A number of precession angles ranging from 0 to 33.92 mRad were examined. In the ALCHEMI-like experiments, the specimen was tilted to near two-beam conditions (g=(200)) with different deviation parameter sz; the lattice diffraction g=(100) was also activated. For each angle, an EDS spectrum without PED was collected as a reference. In addition to SrTiO3, an L21-ordered intermetallic alloy with nominal composition of Fe55Mn19Al26 (in atomic percent) [38] was examined. The specimen was electropolished to ~100 nm [39], and was tilted to different diffraction conditions including [011] zone axis and near two-beam conditions with g=(200) activated for ALCHEMI-like experiments.
As an independent test of the calibration of the computer attached to the EDS system, the ratio of Sr/Ti reported was measured three times tilted off a zone axis, which gave a result of 0.996±0.04. This is close enough to unity that no further corrections of the results are used here; of course this is not always safe. Similarly, the compostion of the intermetallic alloy was determined to be Fe58.8±1.7Mn15.3±0.2Al26.6±1.4 at off-zone conditions.
Results
Figure 1a shows the Sr/Ti atomic ratio when the thin foil was oriented along a [001] zone axis. A series of precession angles were examined and compared to the corresponding non-PED results. In all non-PED EDS tests, the Sr/Ti was in the range 0.75-0.80 with slight fluctuation. In PED-EDS, a small precession angle of 5 mRad led to a Sr/Ti ratio of 0.79, which is insignificantly different from the non-PED results. However, the Sr/Ti ratio increased remarkably with increasing the precession angle, until it reached a plateau of ~0.99 when the precession angle was increased to 22.54 mRad. This ratio was insensitive to the precession angle for the angles greater than 22.54 mRad. It is apparent that the electron channeling can be significantly reduced in PED-EDS with a large precession angle, and becomes negligible when the angle is greater than 22.54 mRad at 200kV for SrTiO3. The absolute intensities of the strontium signal decreased slightly with PED; a reduction of 20.0% was observed when the precession angle was set to 33.92 mRad.
Figure 1.
(a) EDS spectra of SrTiO3 at the [001] zone axis normalized to the strontium peak. The Ti peak intensity reduced for PED-EDS. The precession angle was set to 33.92 mRad. (b) Sr to Ti ratio as a function of precession angle. The SrTiO3 single crystal was oriented along the [001] zone axis.
EDS spectra were subsequently collected under near two beam conditions with sz<0, sz=0 and sz>0. The precession angles were set to 22.54 and 47.48 mRad for the ALCHEMI-like measurements. Figure 2 shows the Sr/Ti ratio as a function of sz. For non-PED EDS measurements, the Sr/Ti ratio changed remarkably when sz changed from negative to positive, as expected in an ALCHEMI experiment. For precession angle of 22.54 mRad, the Sr/Ti ratio was measured to be 0.93 when sz=−1.14 nm−1; while for s=1.34, this value increased to 1.20. In contrast, in PED-assisted EDS measurements, the Sr/Ti ratio was less sensitive to sz. The Sr/Ti ratios were measured to be 1.12 - 1.17 when the precession angle was 22.54 mRad,suggesting that the channeling effects still significantly influence the results. With increasing the precession angle to 47.48 mRad, the greatest angle that the system can achieve without significantly changing the alignment, the Sr/Ti ratio reduced to ~1.04. Although the electron channeling was not completely eliminated, it is clear that the channeling effects were remarkably suppressed at a larger precession angle.
Figure 2.
Sr to Ti ratio as a function of deviation from the two-beam condition. The precession angles were 22.54 and 47.48 mRad.
It is worth noting that the critical angle of 22.54 mRad was obtained for SrTiO3 at the [001] zone axis in this study. Estradé et al. showed that the enhancement of EELS signal could be saturated for an angle of 8.7 mRad (0.5°) [33], which is much lower than the critical value measured in this study. This value appeared to be also dependent on other factors such as foil thickness and diffraction conditions, rather than material species alone. The oxygen signal still showed a large error in the PED-EDS, suggesting that PED does not improve the capability of measuring light elements (as expected).
As a second confirmation, the composition of the L21-ordered Fe-Mn-Al alloy was examined using both PED-EDS and EDS. The composition measured using EDS at the [011] zone axis was Fe55.0Mn14.3Al30.7 with a lower Fe concentration compared to that measured at off-zone-axis conditions (Fe58.8±1.7Mn15.3±0.2Al26.6±1.4). In contrast, the composition (Fe58.3Mn15.4Al26.3) measured using PED-EDS with a precession angle of 47.48 mRad is close to the off-zone-axis measurement. Figure 3 shows the compositions as a function of deviation from g=(200) two-beam condition. The Fe composition determined using conventional EDS varied from ~55% to ~63%, while it remained ~58% for all PED-EDS measurements, indicating that PED is also effective in reducing electron channeling effects for intermetallics.
Figure 3.
EDS and PED-EDS measurements of the Fe-Mn-Al alloy as a function of deviation from the two-beam condition. A superlattice reflection g=(200) was activated. The precession angle was set to 47.48 mRad
Discussion
The results and their consequences are moderately self-evident. There are clear advantages to using standard techniques which work well on the zone-axis such as HREM, Z-contrast and CBED then switching on precession to obtain accurate EDS measurements. At the same time one can of course obtain a good PED pattern, which for most structures is much more useful than a conventional diffraction pattern.
Two additional points merit mention. First, the removal of channeling effects with PED for EDS for a zone axis orientation as well as the less effective removal under two-beam conditions are strong constraints on simplified explanations of the technique. It strongly suggests that classical expansions for zone-axes orientations in terms of Bloch waves or a real-space tight-binding model as in channeling while not wrong, are not going to be the clean approach. The results at a two-beam orientation suggest that a systematic-row approximation is more appropriate, as has been suggested in a number of papers dating back to the systematic-row corrections of the Blackman formula. However, this is not everything and it is certain that the averaging over angle for the integrated intensities is also important. A simple explanation of how PED works remains to be determined, and has been somewhat mysterious for a few years.
Secondly, it follows that coupling precession with EELS will in a sense also reduce channeling effects, but one needs to be more cautious. With EDS the signal is implicitly integrated over all scattering angles, but with EELS the geometry of the detection will enter into the results. As is well known, going to large collection angles has drastic effects on EELS spectra so it is not clear that it will be that useful. As mentioned earlier, it has been pointed out that on a zone axis one can get signal-enhanced EELS with precession [33]. However, in a few preliminary experiments we have found that this is not always true if one tilts off the zone axis.
Conclusions
We have demonstrated that PED significantly reduces electron channeling effects under strong diffraction conditions such as zone axis and two-beam conditions. The EDS measurement can be significantly improved with PED. For the [001] zone axis, the Sr/Ti ratio measured using EDS was consistently ~0.99 when the precession angle greater than 22.54 mRad. For ALCHEMI-like experiments, the channeling effects were largely suppressed when at a higher angle of 47.48 mRad. The reduction of electron channeling effects was also demonstrated for the L21-ordered Fe-Mn-Al intermetallic alloy. The compositions measured using PED-EDS were insensitive to the diffraction condition and were consistent with the off-zone-axis EDS measurement.
PED significantly reduces electron channeling effects under strong diffraction conditions such as zone axis and two-beam conditions.
For the [001] zone axis, the Sr/Ti ratio measured using EDS was consistently ~0.99 when the precession angle greater than 22.54 mRad.
For ALCHEMI-like experiments, the channeling effects were largely suppressed when at a higher angle of 47.48 mRad.
Acknowledgments
This research is supported by the NSF on grant number CMMI-1030703 and by the NIH on grant number 1RC2AR058993-01. The authors are indebted to Professor Ian Baker at Dartmouth College, Mr. Yuyuan Lin, and Dr. Houari Amari for helpful discussions and for providing the specimens.
Footnotes
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