Atom probe tomography study of internal interfaces in Cu2ZnSnSe4 thin-films T. Schwarz, O. Cojocaru-Mirédin, P. Choi, M. Mousel, A. Redinger, S. Siebentritt, and D. Raabe Citation: Journal of Applied Physics 118, 095302 (2015); doi: 10.1063/1.4929874 View online: http://dx.doi.org/10.1063/1.4929874 View Table of Contents: http://scitation.aip.org/content/aip/journal/jap/118/9?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Defect chemistry and chalcogen diffusion in thin-film Cu2ZnSnSe4 materials J. Appl. Phys. 117, 074902 (2015); 10.1063/1.4907951 Microstructural analysis of 9.7% efficient Cu2ZnSnSe4 thin film solar cells Appl. Phys. Lett. 105, 183903 (2014); 10.1063/1.4901401 Cu2ZnSnSe4 films from binary precursors J. Renewable Sustainable Energy 5, 031618 (2013); 10.1063/1.4811242 Atom probe study of Cu2ZnSnSe4 thin-films prepared by co-evaporation and post-deposition annealing Appl. Phys. Lett. 102, 042101 (2013); 10.1063/1.4788815 Coevaporation of Cu 2 ZnSnSe 4 thin films Appl. Phys. Lett. 97, 092111 (2010); 10.1063/1.3483760

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JOURNAL OF APPLIED PHYSICS 118, 095302 (2015)

Atom probe tomography study of internal interfaces in Cu2ZnSnSe4 thin-films din,1 P. Choi,1,b) M. Mousel,2 A. Redinger,2,c) T. Schwarz,1,a) O. Cojocaru-Mire S. Siebentritt,2 and D. Raabe1 1

Max-Planck-Institut f€ ur Eisenforschung GmbH, Max-Planck-Strabe 1, 40237 D€ usseldorf, Germany Laboratory for Photovoltaics, Physics and Materials Science Research Unit, University of Luxembourg, L-4422 Belvaux, Luxembourg 2

(Received 28 May 2015; accepted 12 August 2015; published online 3 September 2015) We report on atom probe tomography studies of the composition at internal interfaces in Cu2ZnSnSe4 thin-films. For Cu2ZnSnSe4 precursors, which are deposited at 320  C under Zn-rich conditions, grain boundaries are found to be enriched with Cu irrespective of whether Cu-poor or Cu-rich growth conditions are chosen. Cu2ZnSnSe4 grains are found to be Cu-poor and excess Cu atoms are found to be accumulated at grain boundaries. In addition, nanometer-sized ZnSe grains are detected at or near grain boundaries. The compositions at grain boundaries show different trends after annealing at 500  C. Grain boundaries in the annealed absorber films, which are free of impurities, are Cu-, Sn-, and Se-depleted and Zn-enriched. This is attributed to dissolution of ZnSe at the Cu-enriched grain boundaries during annealing. Furthermore, some of the grain boundaries of the absorbers are enriched with Na and K atoms, stemming from the soda-lime glass substrate. Such grain boundaries show no or only small changes in composition of the matrix elements. Na and K impurities are also partly segregated at some of the Cu2ZnSnSe4/ZnSe interfaces in the absorber, whereas for the precursors, only Na was detected at such phase boundaries possibly due to a higher diffusivity of Na compared to K. Possible effects of the detected compositional fluctuaC 2015 AIP Publishing LLC. tions on cell performance are discussed. V [http://dx.doi.org/10.1063/1.4929874]

INTRODUCTION

Thin-film solar cells based on the kesterite structured compound semiconductors Cu2ZnSn(S,Se)4 (CZTS(e)) are an emerging novel class of solar cells, which have recently attracted substantial interest.1–3 This material class exhibits high optical absorption coefficients and direct energy band gaps (1–1.5 eV (Ref. 1)). Thus, CZTS(e) compounds are promising alternatives to Cu(In,Ga)S(e)2 (CIGS) absorbers with the advantage of reducing material costs by substituting the rare group III elements In and Ga by the earth-abundant elements Zn (group II) and Sn (group IV). The current record efficiency of CZTS(e) based solar cells is 12.6%.4 This value is still far below the 21.7% record efficiency of CIGS solar cells5 and further development of CZTS(e) solar cells is needed. According to the experimental phase diagrams6,7 and theoretical predictions,8,9 CZTS(e) compounds have very narrow existence regions, allowing only 1–2 at. % absolute deviation from nominal stoichiometry. Thus, the growth of CZTS(e) films is often impeded by the formation of secondary phases, such as ZnS(e),10–13 CuxS(e),14,15 Cu2SnS(e)3,16,17 and SnS(e)x.11,14 In general, secondary phases are detrimental to cell performance. Cu2SnS(e)3, Cu2S(e), and SnS(e) compounds decrease the open circuit voltage due to their smaller band a)

Electronic mail: [email protected] Electronic mail: [email protected] c) Current address: Helmholtz-Zentrum Berlin, Department Complex Compound Semiconductor Materials for Photovoltaics, 14109 Berlin, Germany b)

0021-8979/2015/118(9)/095302/10/$30.00

gap compared to CZTS(e).18,19 Hence, these phases should not be formed, especially at the absorber surface, where recombination can be very efficient.20 ZnS(e), having a larger band gap than CZTS(e), is expected to be less detrimental to device performance if its volume fraction is small and if it does not block the photo current at the absorber surface (increase in series resistance) and/or does not increase the reverse saturation current via recombination at ZnS(e)/ CZTS(e) interfaces.10 In a previous study on the same absorbers, we have shown that the ZnSe secondary phase forms a nm-sized network inside the absorber,13 which is likely to contribute to the series resistance and to losses in open circuit voltage.21 Apart from secondary phases, grain boundaries (GBs) and other extended defects, such as stacking faults (SFs) or dislocations, can also significantly affect the electrical and optical properties of the absorber.20,22,23 Since GBs and dislocations are crystal defects, deep traps within the band gap (Shockley-Read-Hall non-radiative recombination centers) may be associated with them, increasing the charge carrier recombination activity and decreasing the open-circuit voltage VOC. GBs in semiconductors can induce band bending and hence affect charge carrier transport. Furthermore, impurities can be segregated at GBs which on the one hand can create deep defects or on the other hand can passivate defects. Conducting energy dispersive X-ray spectroscopy (EDX) measurements in a transmission electron microscope (TEM), Bag et al.24 and Wang et al.25 detected Cu-enriched

118, 095302-1

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GBs. In both cases, absolute values of GB composition were not given. In contrast, Guo et al.26 detected for two (out of six) GBs, Sn enrichment, and Se depletion using TEM-EDX. Despite these studies, no reliable quantitative data exist on GB composition or segregation of impurities at GBs for the CZTS(e) system. In this work, we applied atom probe tomography (APT) to investigate the composition of GBs in CZTSe films grown at 320  C and after annealing at 500  C. We detect different compositional trends for GBs of CZTSe precursors and absorbers. Furthermore, we detect at some GBs segregation of impurities, such as alkali metals and S. We discuss the possible effects of the observed compositional fluctuations on the cell properties. EXPERIMENTAL

The CZTSe films studied in this work were grown by a sequential process. Two different precursors were fabricated in a molecular beam epitaxy system by co-evaporation of Cu, Zn, Sn, and Se onto a Mo-coated soda-lime glass (SLG) substrate at 320  C. While both precursors were grown under Zn-rich ([Zn]/[Sn] > 1) conditions, one of them was Cu-rich ([Cu]/([Zn] þ [Sn]) > 1) and the other one Cu-poor ([Cu]/ ([Zn] þ [Sn]) < 1). Afterwards, the precursors were annealed for 30 min at 500  C in a Se and SnSe atmosphere in a tube furnace, both with and without KCN etching prior to annealing. More details on sample growth and processing can be found in Ref. 21. An additional absorber was made from a Cu-rich precursor, which was also annealed for 120 min at 500  C after the KCN etching step. A CdS buffer layer was deposited on the absorber by chemical bath deposition. For current-voltage measurements, the samples were finished with magnetron sputtered i-ZnO and Al-doped ZnO layers, and a Ni-Al grid deposited by e-beam evaporation. A summary of all samples studied in this work is given in Table I. The preparation of APT tips was carried out using a dualbeam focused-ion-beam (FIB) (FEI Helios Nanolab 600i), according to the lift-out technique described in Ref. 27. To minimize beam damage due to Ga implantation, a low energy (5 keV) Ga beam was used for final shaping of the APT tips. Laser-assisted APT analyses were performed using a local electrode atom probe (LEAPTM 3000X HR, Cameca Instruments). Laser pulses of 532 nm wavelength, 12 ps pulse length, TABLE I. List of all samples; being a precursor (P) or absorber (A); with (w/) or without (w/o) KCN etching step; and growth or annealing temperature T for precursor and absorber, respectively. P or A

Etching

T (  C)

Remarks

A B C D1 D2

P P A A A

  w/o w/ w/

320 320 500 500 500

E F

A A

w/o w/

500 500

Cu-rich P Cu-poor P From Cu-rich P From Cu-rich P From Cu-rich P, 120 min annealing From Cu-poor P From Cu-poor P

Sample

100 kHz pulse frequency, and an energy of 50 pJ were applied at a temperature of 50 K. RESULTS Distribution of secondary phases and solar cell parameters

The overall composition as measured by EDX for the Cu-rich precursor is [Cu]/([Zn] þ [Sn]) > 1 and for the Cupoor precursor [Cu]/([Zn] þ [Sn]) < 1; both precursors are Zn-rich ([Zn]/[Sn] > 1).21 The excess Cu leads to the formation of Cu2 xSe at the surface of the Cu-rich precursor, whereas the Zn excess leads to the formation of a complex nano-scaled ZnSe network across the entire film of both precursors. After KCN etching and annealing, the global composition remains constant for the Cu-poor precursor. In contrast, the Cu-rich precursor turns Cu-poor and Zn-rich after KCN etching by removing the Cu2xSe, but after annealing, the composition remains unchanged. The high temperature treatment at 500  C is carried out in a tube furnace with additional Se powder and SnSe pellets. For the untreated Cu-rich precursor, the incorporation of Sn during annealing transforms the Cu2xSe phase into a Cu-Sn-Se phase at the surface. The distribution of ZnSe remains unchanged after annealing for all samples. More details about the compositional changes can be found in Ref. 21. The precursor films yield zero efficiency. Possible reasons are the presence of Cu2xSe leading to shunt paths in the Cu-rich precursor, a high defect density, the presence of Cu-enriched GBs (see discussion), etc. Due to the lowtemperature growth, one may also have a mixture of kesterite and stannite structured CZTSe, which we cannot distinguish by X-ray diffraction because Cuþ and Zn2þ are isoelectronic. However, inclusions of stannite possibly formed in the kesterite matrix can also reduce the efficiency due to its smaller band gap compared to kesterite.1 In general, an additional annealing step of the precursor films is needed to yield working solar cells.21 However, annealing the untreated Cu-rich precursor results in zero efficiency due to the formation of a detrimental Cu-Sn-Se phase.21 To avoid the formation of such a phase, KCN etching is applied to the precursor prior to annealing, which gives a working solar cell with 6% efficiency (sample D1 in Table II). Solar cells made from the annealed Cu-poor precursor exhibit smaller efficiencies (see Table II). Here, the KCN treated sample F has a higher efficiency than the untreated sample E indicated by the larger open circuit voltage and fill factor. This is related to the etching process by, e.g., cleaning the surface. The higher efficiency of sample D1 is related to better transport properties, i.e., better carrier collection, which increases significantly the shortcircuit current. For more details, see Ref. 21. CZTS(e) grain boundaries

Figs. 1(a) and 1(b) show three-dimensional elemental maps acquired from the co-evaporated Cu-rich and Cu-poor precursors before annealing, respectively. Blue iso-concentration surfaces of 24.0 at. % (Fig. 1(a)) and 23.5 at. % Cu (Fig. 1(b))

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TABLE II. List of solar cell parameters under illumination for the samples given in Table I. The parameters are averaged over six solar cells using the growth process of sample D1, and over three solar cells using the growth process of samples E and F (single parameters are listed in Ref. 21). g is the efficiency, VOC the open circuit voltage, JSC the short-circuit current, FF the fill factor, RS the series resistance, GSH the shunt conductance, A the diode factor, and J0 the saturation current. Reprinted with permission from M. Mousel et al., Adv. Energy Mater. 4, 1300543 (2014). Copyright 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.21 Sample D1 E F

g [%]

VOC [mV]

JSC [mA/cm2]

FF [%]

RS [Xcm2]

GSH [mS/cm2]

A

J0 [mA/cm2]

6.0 3.4 4.8

348 284 338

30.9 24.7 26.7

56 42 53

0.48 0.50 0.48

5.3 18.4 9.2

2.20 2.62 2.03

7.6  102 3.9  101 5.4  102

FIG. 1. 3D elemental maps with Cu (blue), Zn (orange), Sn (green), and Se (red) atoms of the Cu-rich (a) and Cu-poor precursor (b). The blue isoconcentration surfaces mark 24.0 and 23.5 at. % Cu and the grey ones 20.0 and 32.5 at. % Zn for (a) and (b), respectively. (c) Concentration profiles across the arrows are given in (c)–(e).

mark planar regions which are interpreted as GBs. Grey iso-concentration surfaces of 20.0 at. % of Zn highlight Cu2Zn5SnSe8 and Cu2Zn6SnSe9 secondary phase particles in Fig. 1(a). Grey iso-concentration surfaces of 32.5 at. % Zn mark ZnSe secondary phase particles in Fig. 1(b). Excess Zn atoms partition to those phases due to Zn-rich growth conditions. ZnSe was also detected in the Cu-rich precursor and Cu2Zn5SnSe8 in the Cu-poor precursor (not shown here, more details are given in Ref. 28). The concentration profiles across the GB features and along the arrows in Figs. 1(a) and 1(b) are given in Figs. 1(c)–1(e). All three profiles show a Cu enrichment at the GBs. For GB 1 and 3, the Cu enrichment is accompanied by slight depletion of Zn, Sn, and Se, whereas for GB 2, strong Se and slight Sn depletion are detected. The GB widths, as seen in the concentration profiles, vary from 1 to 2 nm and can be ascribed to the local magnification effect. This effect leads to a broadening of the profile and is most pronounced for GB planes which are parallel to the analysis direction.29 Several GBs in precursor samples were analyzed, where the corresponding GB compositions are listed in Table III.

For the analyzed precursors, Cu enrichments and Sn depletion at GBs are generally detected as compared to the grain interiors (GI). Furthermore, GBs show variations in Zn or Se depletion. TABLE III. Chemical composition changes of the matrix elements at CZTSe GBs. (þ), (), (o) correspond to enrichment, depletion, and no (clear) change, respectively. P stands for precursor. Number

Cu

Zn

Sn

Se

1 2 3 4 5 6 7 8 9 10 11

þ þ þ þ þ þ þ þ   

 o   o o o o þ þ þ

          

o o o o       

Cu-rich P Cu-rich P Cu-rich P Cu-poor P Cu-poor P Cu-poor P Cu-poor P Cu-poor P Absorber D2 Absorber D2 Absorber E

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FIG. 2. 3D elemental maps with Cu (blue), Zn (orange), Sn (green), and Se (red) atoms of absorber D2 (a). The grey iso-concentration surfaces mark 17.0 at. % Zn. Concentration profile along the arrow in (a) is given in (b).

After post-deposition annealing, the absorbers show different GB compositions as compared to the precursors. Fig. 2(a) shows a three-dimensional elemental map of absorber D2. Grey iso-concentration surfaces of 17.0 at. % Zn mark a GB in Fig. 2(a). The corresponding concentration profile across the GB is shown in Fig. 2(b). The GB shows a strong Zn enrichment up to 30 at. % Zn, strong Cu and Sn, and slight Se depletion. In general, APT measurements (see Table III) show strong Zn enrichment and Sn depletion zones at the GBs of absorber samples, whereas the Cu and Se concentrations are only slightly smaller than in the GI in one out of three measurements. Thus in contrast to the precursors, we observe for the absorber samples (excluding those GBs with impurity segregation, see next part) Zn enrichment at the GBs but no Cu enrichment.

The above presented GBs exhibit strong concentration fluctuations of the matrix elements but no segregation of impurities. For some GBs in the absorbers, but not in precursors, we also detect alkali impurity segregation but no or only small concentration fluctuations of the matrix elements, especially of the cations. In Fig. 3(a), the segregation of both Na and K at a triple junction of absorber D2 is shown. The concentration profile along the arrow in Fig. 3(a) is shown in Fig. 3(c). The Na and K concentrations at the GB are 0.4 at. % and 0.15 at. %, respectively. (Deconvolution of overlapping NaOþ, 78Se2þ, and Kþ peaks is discussed in the supporting information.)30 Depletion or enrichment of a matrix element cannot be detected at this GB, but slightly different Cu and Zn concentrations between the neighboring grains. At another GB shown in Fig. 3(b) (absorber D1), we detect segregation of Na and S but no K. The corresponding

FIG. 3. 3D elemental maps of Na (green), K (kaki), and SeS (yellow) for the absorber D2 (a) and absorber D1 (b). Concentration profiles across the arrows in (a) and (b) are given in (c) and (d), respectively.

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concentration profile in Fig. 3(d) shows 0.4 at. % Na and 1.5 at. % S at this GB. The apparent segregation width at the GB, especially that of S, is large (the full-width-at-half-maximum of the S concentration profile is about 5 nm). Due to the local magnification effect, a direct comparison of absolute impurity concentrations at different GBs is difficult. Therefore, the Gibbsian interfacial excess Ci of an impurity i is calculated for several GBs. The excess is determined from a ladder diagram along the analyzed volume, which presents a plot of the cumulative number of impurity atoms with respect to the cumulative number of total atoms.31 An increase in slope marks the segregation. Furthermore, the excess is normalized to the interface area. The results for 22 GBs are summarized in Fig. 4(a). By applying this method, also, the problem of the overlapping 39Kþ and 78Se2þ peaks can be bypassed because there is no influence of the overlap on the number of excess K atoms, while the Se concentration remains constant across the GB. The summary reveals that in almost all cases, segregation of Na at a GB is accompanied by co-segregation of K. The Gibbsian interfacial excess of both elements varies from CNa ¼ 0.6–16.1  1013 at. cm2 and from CK ¼ 0.3–3.6  1013 at. cm2, respectively. The strong variations in the interfacial excess values may be ascribed to variations in GB character, GB orientation, and the distance of the GB from the SLG substrate. Apart from co-segregation of Na and K, we detect S as already shown in Fig. 3(b) at several GBs in annealed absorbers as well. These absorbers are supposed to be pure selenide absorbers. The presence of S is a contamination, which could be due to either diffusion from the CdS buffer that was deposited on top of the films or due to contamination of the annealing oven which was also used for annealing in S atmosphere. Since we do not observe segregation of S in absorber D2, which was annealed in another oven, which never had S in it, the most likely source of the S contamination is from the oven during annealing. S is mainly detected in the form of complex ions, namely, as SeSþ, ZnSþ, and CuSþ and in their double charged state (see supplemental material in Ref. 30 for the possible overlap with SeO2þ, ZnO2þ, and CuO2þ). In eight out of ten APT datasets, the segregation zones of S are as large as 10–20 nm and in some

J. Appl. Phys. 118, 095302 (2015)

of these zones, Na and K atoms are shifted to one side of this zone and are not detected in the center. This finding indicates that the segregation zones are no longer single-phase CZTSe GBs but CZTSe/CZTSSe phase boundaries. According to Chen et al.,32 the CZTSSe system is miscible at temperatures above 25  C and hence the CZTSSe alloy is expected to be stable at the annealing temperature of 500  C. S concentrations up to 2 at. % were measured in concentration profiles, which can be taken as a lower limit, since S overlaps with Zn. In order to determine the bulk S concentration, mass peak deconvolution was applied to an APT dataset containing a CZTSSe grain with 14 million collected ions (not shown here). By taking possible overlaps of Sþ, S2þ, and S22þ ions with Znþ and Zn2þ ions into account, the deconvolution gives a 50% relative increase in the S concentration. Accordingly, the S concentration of the GB region in Fig. 3(b) would be 3 at. % S. At one GB, which exhibits Na, K, and S co-segregation (see Fig. 4(a)), we also detect small amounts of C (C at 12 amu in the mass spectrum) with CC ¼ 6  1012 cm2. The C could originate from the KCN solution or from CdS, which was deposited on the absorber in a chemical bath using thiourea as the S source. ZnSe/CZTSe interface and other extended defects in CZTSe

Apart from impurity segregation at CZTSe GBs, we detect Na and K at ZnSe/CZTSe phase boundaries. In various absorbers, we have detected nanometer-scale networks of ZnSe in the CZTSe absorbers.13 Figs. 5(b) and 5(c) show Na and K segregation along a ZnSe/CZTSe interface shown in Fig. 5(a) of absorber C. Interestingly, both Na and K are only enriched at some parts of the interface. Indeed, in all cases observed so far, Na and K do not decorate the entire interface. Sometimes Na and K are enriched along lineshaped regions at the interface, which could be dislocations. Both impurity elements are segregated in the CZTSe region close to the ZnSe/CZTSe interface as can be seen in Fig. 5(d). Furthermore, K appears to partition to ZnSe as suggested by the 3D elemental maps in Fig. 5(c) (compare also the proxigram in Fig. 5(d)). However, K is neither present in CZTSe nor in ZnSe. Two observations can be made from a

FIG. 4. (a) Gibbsian interfacial excesses Ci for i ¼ Na, K, S, and C. CK was corrected by adding the contribution of the isotope 41K by taking the isotopic abundances of 39K and 41K into account (see supplemental material in Ref. 30 for more details). CS was not corrected according to the possible overlap of S and Zn due to limited counting statistics (see text). The GBs 1–9 and 10–11 belong to the absorber D2 and C. The GBs 12–13, 14–17, and 18–22 belong to the absorber D1, E, and F. (b) CZTSe compositions of precursors and absorbers measured by APT. The asterisk marks the position of stoichiometric Cu2ZnSnSe4.

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FIG. 5. Na (b) and K (c) distributions at the ZnSe/CZTSe interface in absorber C marked by the grey iso-concentration surfaces of 32.5 at. % Zn in (a). (d) shows the proxigram across the ZnSe/CZTSe interface. (e) represents the APT mass spectra around the K peak at 39 amu from the CZTSe (black), ZnSe (red), and the K-rich (kaki) region from (a) (see text for more details). The vertical bars in (e) represent the isotopic abundances of Se, which are normalized to the 80 2þ Se peak.

comparison of the mass spectra from the CZTSe and ZnSe regions (Fig. 5(e)), excluding the interface region: First, in the CZTSe and ZnSe GI, the peak heights of Se2þ at 39 amu and 40 amu are equal to their expected isotopic abundances, meaning that there is no K in the GI. Only at the interface, we detect K, where the height of the peak at 39 amu is even higher than for Se2þ at 40 amu. Second, the contribution of all Se2þ peaks to the overall Se concentration in ZnSe is approximately twice as high as in CZTSe, leading to a higher apparent K concentration. Na is only once detected in the CZTSe GI (57 6 12 ppm) from an absorber. Hence, we assume that it tends to segregate at CZTSe GBs and at ZnSe/ CZTSe phase boundaries. K with (8 6 5) ppm is just above the background level, which is calculated to be 4 ppm for this specific measurement. The detected alkali metal cosegregation at the ZnSe/CZTSe interface can be accompanied by S segregation. In addition to the absorber samples, we also observe segregation of only Na at three ZnSe/ CZTSe interfaces in the precursor samples (see supplemental material in Ref. 30 for the APT dataset). In addition, we detect line-shaped and confined twodimensional enrichments of Na in the absorber samples (see Figs. 6(b) and 6(a)), which could be segregation zones at dislocations and SFs, respectively. At one of the linear segregation zones, we detect K as well. Figs. 6(c) and 6(d) show concentration profiles across the Na enriched zones from Figs. 6(a) and 6(b). The Gibbsian interfacial excess of

Na at the two-dimensional confined features is with a value of CNa ¼ 2.4–5.9  1013 at. cm2 in the range of CNa at the CZTSe GBs. Furthermore, we do not observe any concentration variations of the matrix elements at these solute segregation zones. Although there seems to be slight Cu depletion in Fig. 6(d), it is within the statistical 2r error and not as pronounced as it was found by Dietrich et al.33 for a linear Na segregation zone in a CIGS absorber. DISCUSSION

The presented results can be summarized as follows: •









In the precursor samples, all CZTSe GBs are Cu-enriched and Sn-depleted, whereas no clear trend is observed for Zn and Se (Zn- and/or Se-depleted). The CZTSe GBs in the absorber samples, which show no segregation of impurities, are Zn-enriched and Cu-, Sn-, and Se-depleted. Several CZTSe GBs in the absorber films are decorated by Na accompanied by co-segregation of K. Concentration variations of the matrix elements are rather small or not detectable. At some of these GBs, S is detected as well. We observe segregation of Na at only some parts of ZnSe/ CZTSe phase boundaries in the precursor and absorber, which is accompanied by K co-segregation only in the absorber. We detect linear and confined two-dimensional zones of Na in CZTSe absorbers.

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FIG. 6. Na distribution at a two-dimensional (a) and a linear confined region (b). The grey iso-concentration surfaces mark 32.5 at. % Zn (ZnSe domains). Concentration profiles across the planar and linear feature in (a) and (b) are shown in (c) and (d), respectively.

The influence of the secondary phases Cu2xSe, Cu-SnSe, and ZnSe on the solar cell performance is discussed in detailed elsewhere.13,21,34 The separation of the effect of internal interphases and secondary phases on the microstructure and electrical properties is very complex and may mutually influence each other. Therefore, we focus on possible origins and effects of the aforementioned results separately based on theoretical and experimental findings. CZTS(e) grain boundaries

In the following, we discuss the changes that occur during annealing and their potential influence on solar cell efficiency. The absorbers discussed here resulted in solar cells with efficiencies above 5%, whereas solar cells from precursors gave zero efficiency.21 It is known for CIGS and CZTS that the valence band maximum (VBM) is governed by the Se-Cu p-d hybridization and thus by the Cu concentration.35–38 The Cu enrichment at GBs in the precursor would not be beneficial for cell performance because it would likely inhibit a potential downward shift of the VBM which can act as a neutral hole barrier as it was predicted for Cu-depleted CIGS GBs and modelled to be potentially beneficial for solar cell efficiency in Refs. 39 and 40. A neutral hole barrier has been found experimentally in CuGaSe2.41 A possible reason why the CZTSe GBs in both Cu-rich and Cu-poor precursors are Cu-enriched could be the limited Cu-solubility in CZTSe. Even for Cu-poor growth, CZTSe grains seem to be saturated with Cu, where excess Cu

is accumulated at the GBs. Indeed, the existence region of CZTSe is reported to be very narrow according to Ref. 6. Moreover, the measured compositions of CZTSe grains of all samples studied in our work are Cu-poor ([Cu]/([Zn] þ [Sn])  0.8) despite different growth conditions. Fig. 4(b) shows the phase diagram with the CZTSe compositions measured by APT. It is revealed that all compositions can be found in the same rather narrow Cu-poor region. In contrast to the precursors, we also observe for the Zn-enriched GBs in the absorbers slight Cu depletion (see Figs. 2(a) and 2(b)), which could create such a neutral hole barrier. One possible reason for the observed Zn enrichments at GBs in the absorbers could be dissolution of ZnSe and/or Cu2Zn5SnSe8 and Cu2Zn6SnSe9 grains, which are located in the vicinity of the Cu-enriched GBs of the precursors (see Figs. 1(a) and 1(b)). As an example, the composition of the Cu-enriched GB shown in Fig. 1(a), which is representative for the vast majority of Cu-enriched GBs, is 29 6 1 .4 at. % Cu, 11 6 1 .0 at. % Zn, 11 6 1 .0 at. % Sn, and 49 6 1 .6 at. % Se. Assuming that 1 mol of such a GB phase reacts with 1 mol of ZnSe, a GB composition of 14.5 at. % Cu, 30.5 at. % Zn, 5.5 at. % Sn, and 49.5 at. % Se is predicted. The latter composition is in very good agreement with the measured composition of the Zn-enriched GB shown in Fig. 2(a), which is 15 6 0.8 at. % Cu, 30 6 1.1 at. % Zn, 6 6 0.6 at. % Sn, and 49 6 1.2 at. % Se. The proposed reaction can also explain the Sn depletion at the Zn-enriched GBs, since no further Sn would be incorporated. Although the absorbers are annealed in a Se and SnSe atmosphere, the Sn concentration is still as high as it can be ascribed to the

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dissolution of ZnSe at the GBs. In addition, the fact that not every Cu-enriched GB is surrounded by a sufficient amount of ZnSe as in Fig. 1(b), which could lead to Zn-enriched GBs, can explain the significantly smaller number of GBs detected with Zn enrichment compared to the number of GBs with no Zn enrichment, which are Na- and K-enriched. The out-diffusion of Na and K from the SLG and their co-segregation at CZTSe GBs can be beneficial for cell performance. Experimentally, it was shown by Prabhakar and Jampana42 that Na enhances the hole concentration and conductivity. Na can also increase the open circuit voltage VOC, fill factor FF, and short-circuit current JSC, as observed by Repins et al.43 in co-evaporated CZTSe films. Na may render GBs electrical inactive as it was suggested by Gershon et al.44 For the majority of GBs, we observe a higher Na than K concentration (compare Fig. 4(a)). Regarding the effect of K at GBs, we assume that K will have a similar effect as Na, since both are alkali metals. The fact that we do not detect any segregation of K in the precursor films could be due to a low diffusivity of K. K diffusion in soda-lime glass at 320  C was reported to be much more sluggish as compared to Na.45 At some GBs, we detected S. The segregation zone of S at GBs can be of up to 20 nm, which is no longer a pure CZTSe GB but a CZTSe/CZTSSe phase boundary. According to Chen32 and Levcenco et al.,46 the band gap between CZTSe and CZTS increases almost linearly from 0.94 eV to 1.46 eV. For a S concentration of 3 at. % at most (see Fig. 3(d)), a band gap value of 0.956 eV can be assigned to the CZTSSe compound. Thus, the band gap difference as compared to CZTSe is on the order of 10 meV due to a conduction band minimum upshift and VBM downshift with increasing S content. The resulting barriers for electrons and holes are <10 meV and small as compared to the thermal energy of 25 meV at room temperature. Even though the band gap difference is very small, the CZTSe/CZTSSe phase boundary can contribute to recombination losses in the absorber layer. The reason why we actually observe no segregation of impurities at GBs showing a clear Cu or Zn enrichment compared to the GI is unclear. We can only speculate about possible causes: A possible reason could be that the concentrations of Cu and/or Zn vacancies at which alkali elements could possibly segregate are low at such GBs. Accumulation of a solute at the GB will occur only if it is energetically favorable. Since there exists a GB energy anisotropy with respect to the GB plane orientation and lattice misorientation,47 different GB types can exhibit different segregation levels. If the GB is a special boundary (e.g., a coherent R3 twin boundary (TB)), the number of dangling bonds is low and solute segregation is rather unlikely. Thus, a possible explanation for no impurity segregation at the GBs showing Cu or Zn enrichment might be because these GBs are special GBs. This hypothesis needs to be elucidated in a future study. Another reason could be charge compensation, which may not be maintained at Cu- or Zn-enriched GBs in the presence of charged impurities due to possible mutual repulsive interactions. Comparing the GB compositions in precursor and absorber, we can conclude that an atomic redistribution at the GBs takes place during the post-deposition annealing. Apart

J. Appl. Phys. 118, 095302 (2015)

from the dissolution of ZnSe, an elemental redistribution due to solutes may occur at GBs during annealing. For CIGS, a certain amount of Na stabilize the (112) surfaces during recrystallization by compensating M-Se dipoles (M ¼ Cu, In, or Ga) via the formation of M-Se-Na dibonds.48 This elemental redistribution may also take place during the annealing of the CZTSe precursors. ZnSe/CZTSe interface and other extended defects in CZTSe

The effect of Na and K at the CZTSe/ZnSe interface is still unclear. Nevertheless, we cannot exclude the fact that the diffusion of Na from the SLG towards this interface in the precursor grown at 320  C can change the electrical properties and influence the growth of ZnSe and hence the microstructure. Small precipitates can significantly reduce the GB velocity by Zener drag effect, as it is well known for metals,49 and hence ZnSe can impede the CZTSe grain growth during the annealing step. Zener drag describes a linear interface energy related back driving force acting against moving GBs and is most pronounced for small highly dispersed precipitates. Impurities, such as Na or K at the ZnSe/CZTSe interface, could even further decrease the GB velocity in terms of solute drag50,51 – or, maybe even more important, they may inhibit the dissolution of ZnSe. The Zener effect is probably the dominant drag mechanism on GB movement, since only some fraction of the ZnSe/CZTSe interfaces is decorated with Na and K. On the other hand, Gershon et al.44 and Sutter-Fella et al.52 hypothesized that the formation of a liquid Na2S(e)x or Na-Zn-S(e) phase could even increase the GB mobility and, thus, promote grain growth. Beside this, Na and K atoms are segregated at all CZTSe/ ZnSe phase boundaries at the CZTSe side, as we observed it already in an earlier study.13 Thus, the solubility of both alkali elements seems to be higher in CZTSe than in ZnSe. Indeed, the solubility limit of Na in ZnSe at 500  C is smaller than 1018 at. cm3,53 which corresponds to less than 0.002 at. % Na in the ZnSe GI. In contrast, we find 0.006 at. % Na in one CZTSe GI. This indicates a “snow plow” effect, where the ZnSe/CZTSe interface rejects Na and K into the CZTSe during the ZnSe growth.54 It is conceivable that segregation of elements, such as Na and K, can influence the electrical properties of dislocations. Dietrich et al.33 measured electrostatic potential wells of 1.4 eV at dislocations for CIGS by means of inline electron holography. It was proposed that Na occupies VCu vacancies at the dislocation core to some extent. Na modifies the charge at the dislocation core which leads to a Cu depletion at the core (confirmed by means of APT) due to field-induced out-diffusion of Cu. Hence, the VBM is lowered at the dislocation and a hole barrier is created decreasing recombination activity as it was shown by Persson and Zunger.55 Here, we find no such Cu depletion, which could lower the VBM. One reason might be the lower Na concentration (0.4 at. % compared to 1.0 at. % in Ref. 33). As for dislocations, the impact of SFs and TBs on cell performance is not well understood. Yan et al.56 concluded

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from first-principle DFT calculations that basal-plane SFs in CIGS are rather benign as they do not tend to create deep defects. Moreover, they should not act as a barrier for holes. SFs and TBs in CZTS may have similar properties. CONCLUSIONS

We conducted APT measurements to investigate the composition of GBs and segregation of impurities at internal interfaces in CZTSe thin-films. We detected Cu enrichment at CZTSe GBs in the low-temperature co-evaporated precursor samples. In contrast, for the annealed absorbers, we found either Zn enrichment at GBs with no impurity segregation or co-segregation of Na and K at CZTSe GBs with rather small or no change in the concentration of the matrix elements. The accumulation of excess Cu at CZTSe GBs in the precursor samples is probably due to saturated Cu concentrations in CZTSe grains. The consumption of ZnSe or other Zn-rich compounds in the vicinity of the Cu-enriched GBs during annealing can further lead to Zn-enriched CZTSe GBs in the absorber samples. The dissolution of ZnSe at the GBs could be hampered by segregation of impurities at those GBs. The Cu-enriched GBs in the precursors are not likely to be electrically benign as they will not down shift the VBM. However, the lack of Cu at the GBs in the absorbers is likely to create a downshift of the valence band which would make these GBs rather benign. However, all GBs with impurity segregation did not show Cu depletion. Furthermore, we detect up to 3 at. % S at CZTSe/CZTSSe phase boundaries. In addition, we observe segregation of both Na and K at some parts of CZTSe/ZnSe interfaces in the absorber samples. We find segregation of Na at CZTSe/ZnSe interfaces in the precursor films. ACKNOWLEDGMENTS

The authors thank Silvana Botti from Universite de Lyon, now University of Jena, for fruitful discussions. This work was funded by the German Research Foundation (DFG) (Contract No. CH 943/2-1) and by the Luxembourgish Fonds National de la Recherche. 1

S. Siebentritt and S. Schorr, Prog. Photovoltaics 20, 512–519 (2012). P. J. Dale, K. Hoenes, J. Scragg, and S. Siebentritt, in Proceedings of the 34th IEEE Photovoltaic Specialists Conference (IEEE, 2009), Vols. 1–3, pp. 2080–2085. 3 D. B. Mitzi, O. Gunawan, T. K. Todorov, K. Wang, and S. Guha, Sol. Energy Mater. Sol. Cells 95, 1421–1436 (2011). 4 W. Wang, M. T. Winkler, O. Gunawan, T. Gokmen, T. K. Todorov, Y. Zhu, and D. B. Mitzi, Adv. Energy Mater. 4, 1301465 (2013). 5 P. Jackson, D. Hariskos, R. Wuerz, O. Kiowski, A. Bauer, T. M. Friedlmeier, and M. Powalla, Phys. Status Solidi RRL 9, 28–31 (2015). 6 I. V. Dudchak and L. V. Piskach, J. Alloys Compd. 351, 145–150 (2003). 7 I. D. Olekseyuk, I. V. Dudchack, and L. V. Piskach, J. Alloys Compd. 368, 135–143 (2004). 8 A. Walsh, S. Chen, S. Wei, and X. Gong, Adv. Energy Mater. 2, 400 (2012). 9 T. Maeda, S. Nakamura, and T. Wada, Thin Solid Films 519, 7513–7516 (2011). 2

J. Appl. Phys. 118, 095302 (2015) 10

J. T. W€atjen, J. Engman, M. Edoff, and C. Platzer–Bjorkman, Appl. Phys. Lett. 100, 173510 (2012). 11 C. Platzer-Bj€ orkman, J. Scragg, H. Flammersberger, T. Kubart, and M. Edoff, Sol. Energy Mater. Sol. Cells 98, 110–117 (2012). 12 A. Redinger, K. H€ ones, X. Fontane, V. Izquierdo-Roca, E. Saucedo, N. Valle, A. Perez-Rodrıguez, and S. Siebentritt, Appl. Phys. Lett. 98, 101907 (2011). 13 T. Schwarz, O. Cojocaru-Miredin, P. Choi, M. Mousel, A. Redinger, S. Siebentritt, and D. Raabe, Appl. Phys. Lett. 102, 042101 (2013). 14 R. A. Wibowo, W. S. Kim, E. S. Lee, B. Munir, and K. H. Kim, J. Phys. Chem. Solids 68, 1908–1913 (2007). 15 G. Suresh Babu, Y. B. Kishore Kumar, P. Uday Bhaskar, and S. Raja Vanjari, Sol. Energy Mater. Sol. Cells 94, 221–226 (2010). 16 A. J. Cheng, M. Manno, A. Khare, C. Leighton, S. A. Campbell, and E. S. Aydil, J. Vac. Sci. Technol., A 29, 051203 (2011). 17 M. Mousel, A. Redinger, R. Djemour, M. Arasimowicz, N. Valle, P. Dale, and S. Siebentritt, Thin Solid Films 535, 83–87 (2013). 18 U. Rau and J. H. Werner, Appl. Phys. Lett. 84, 3735 (2004). 19 S. Siebentritt, Thin Solid Films 535, 1–4 (2013). 20 R. Scheer and H. W. Schock, Chalcogenide Photovoltaics: Physics, Technologies, and Thin Film Devices (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, 2011). 21 M. Mousel, T. Schwarz, R. Djemour, T. P. Weiss, J. Sendler, J. C. Malaquias, A. Redinger, O. Cojocaru-Miredin, P. Choi, and S. Siebentritt, Adv. Energy Mater. 4, 1300543 (2014). 22 W. K. Metzger and M. Gloeckler, J. Appl. Phys. 98, 063701 (2005). 23 C. Donolato, J. Appl. Phys. 84, 2656 (1998). 24 S. Bag, O. Gunawan, T. Gokmen, Y. Zhu, T. K. Todorov, and D. B. Mitzi, Energy Environ. Sci. 5, 7060–7065 (2012). 25 K. Wang, B. Shin, K. B. Reuter, T. Todorov, and D. B. Mitzi, Appl. Phys. Lett. 98, 051912 (2011). 26 L. Guo, Y. Zhu, O. Gunawan, T. Gokmen, V. R. Deline, S. Ahmed, L. T. Romankiw, and H. Deligianni, Prog. Photovoltaics 22, 58–68 (2014). 27 K. Thompson, D. Lawrence, D. J. Larson, J. D. Olson, T. F. Kelly, and B. Gormann, Ultramicroscopy 107, 131 (2007). 28 T. Schwarz, M. A. L. Marques, S. Botti, M. Mousel, A. Redinger, S. Siebentritt, O. Cojocaru-Miredin, D. Raabe, and P. Choi, “Detection of novel Cu2Zn5SnSe8 and Cu2Zn6SnSe9 phases in co-evaporated Cu2ZnSnSe4 thin-films” (submitted). 29 F. Vurpillot, A. Cerezo, D. Blavette, and D. J. Larson, Microsc. Microanal. 10, 384–390 (2004). 30 See supplemental material at http://dx.doi.org/10.1063/1.4929874 for the overlap issue of 39Kþ with NaOþ and 78Se2þ and 41Kþ with Se 82Se2þ, for the possible overlap of SeSþ, ZnSþ, and CuSþ with SeO2þ, ZnO2þ, and CuO2þ. 31 O. C. Hellman and D. N. Seidman, Mater. Sci. Eng., A 327, 24–28 (2002). 32 S. Chen, A. Walsh, J. Yang, X. G. Gong, L. Sun, P. Yang, J. Chu, and S. Wei, Phys. Rev. B 83, 125201 (2011). 33 J. Dietrich, D. Abou-Ras, S. S. Schmidt, T. Rissom, T. Unold, O. Cojocaru-Miredin, T. Niermann, M. Lehmann, C. T. Koch, and C. Boit, J. Appl. Phys. 115, 103507 (2014). 34 T. Schwarz, O. Cojocaru-Miredin, P. Choi, M. Mousel, A. Redinger, S. Siebentritt, and D. Raabe, “Study of the formation and effect on solar cell efficiency of nano-sized Cu-Sn-Se compounds in Cu2ZnSnSe4 thin-films” (unpublished). 35 J. E. Jaffe and A. Zunger, Phys. Rev. B 27, 5176 (1983). 36 S. Chen, X. G. Gong, A. Walsh, and S. Wei, Appl. Phys. Lett. 94, 041903 (2009). 37 J. Paier, R. Asahi, A. Nagoya, and G. Kresse, Phys. Rev. B 79, 115126 (2009). 38 C. Persson, J. Appl. Phys. 107, 053710 (2010). 39 M. Gloeckler, J. R. Sites, and W. K. Metzger, J. Appl. Phys. 98, 113704 (2005). 40 C. Persson and A. Zunger, Appl. Phys. Lett. 87, 211904 (2005). 41 S. Siebentritt, S. Sadewasser, M. Wimmer, C. Leendertz, T. Eisenbarth, and M. C. Lux-Steiner, Phys. Rev. Lett. 97, 146601 (2006). 42 T. Prabhakar and N. Jampana, Sol. Energy Mater. Sol. Cells 95, 1001–1004 (2011). 43 I. Repins, C. Beall, N. Vora, C. DeHart, D. Kuciauskas, P. Dippo, B. To, J. Mann, W. Hsu, A. Goodrich, and R. Noufi, Sol. Energy Mater. Sol. Cells 101, 154–159 (2012). 44 T. Gershon, B. Shin, N. Bojarczuk, M. Hopstaken, and D. B. Mitzi, Adv. Energy Mater. 5, 1400849 (2015).

Reuse of AIP Publishing content is subject to the terms at: https://publishing.aip.org/authors/rights-and-permissions. Download to IP: 143.248.110.62 On: Mon, 19 Sep 2016 07:15:03

095302-10 45

Schwarz et al.

J. W. Fleming and D. E. Day, J. Am. Ceram. Soc. 55, 186–192 (1972). 46 S. Levcenco, D. Dumcenco, Y. P. Wang, Y. S. Huang, C. H. Ho, E. Arushanov, V. Tezlevan, and K. K. Tiong, Opt. Mater. 34, 1362–1365 (2012). 47 G. S. Rohrer, J. Mater. Sci. 46, 5881–5895 (2011). 48 F. Couzinie-Devy, N. Barreau, and J. Kessler, Prog. Photovoltaics 19, 527–536 (2011). 49 G. Gottstein, Materialwissenschaft der Werkstofftechnik – Physikalische Grundlagen, 4th ed. (Springer Vieweg, Berlin, 2014), Chap. 7.

J. Appl. Phys. 118, 095302 (2015) 50

J. W. Cahn, Acta Metall. 10, 789–798 (1962). K. L€ ucke and H. P. St€ uwe, Acta Metall. 19, 1087–1099 (1971). 52 C. M. Sutter-Fella, J. A. St€ uckelberger, H. Hagendorfer, F. L. Mattina, L. Kranz, S. Nishiwaki, A. R. Uhl, Y. E. Romanyuk, and A. N. Tiwari, Chem. Mater. 26, 1420–1425 (2014). 53 D. B. Laks, C. G. Van de Walle, G. F. Neumark, and S. T. Pantelides, Appl. Phys. Lett. 63, 1375 (1993). 54 M. Wittmer and T. E. Seidel, J. Appl. Phys. 49, 5827 (1978). 55 C. Persson and A. Zunger, Phys. Rev. Lett. 91, 266401 (2003). 56 Y. Yan, R. Noufi, and M. M. Al-Jassim, Phys. Rev. Lett. 96, 205501 (2006). 51

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