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Defects in nanocrystalline Nb films: Effect of sputtering temperature

Defects in nanocrystalline Nb films: Effect of sputtering temperature

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Applied Surface Science 252 (2006) 3245–3251www.elsevier.com/locate/apsusc<strong>Defects</strong> <strong>in</strong> nanocrystall<strong>in</strong>e <strong>Nb</strong> <strong>films</strong>: <strong>Effect</strong><strong>of</strong> sputter<strong>in</strong>g <strong>temperature</strong>J. Čížek a, *, O. Melikhova a , I. Procházka a , G. Brauer b , W. Anwand b ,A. Mücklich b , R. Kirchheim c , A. Pundt ca Department <strong>of</strong> Low-Temperature Physics, Faculty <strong>of</strong> Mathematics and Physics,Charles University, V Holešovičkách 2, CZ-180 00, Prague 8, Czech Republicb Institut für Ionenstrahlphysik und Materialforschung, Forschungszentrum Rossendorf, Dresden, Germanyc Institut für Materialphysik, Universität Gött<strong>in</strong>gen, GermanyAvailable onl<strong>in</strong>e 7 October 2005AbstractTh<strong>in</strong> niobium (<strong>Nb</strong>) <strong>films</strong> (thickness 350–400 nm) were prepared on (1 0 0)Si substrate <strong>in</strong> a UHV chamber us<strong>in</strong>g the cathodebeam sputter<strong>in</strong>g. The sputter<strong>in</strong>g <strong>temperature</strong> T s was varied from 40 up to 500 8C and the <strong>in</strong>fluence <strong>of</strong> the sputter<strong>in</strong>g <strong>temperature</strong>on the microstructure <strong>of</strong> th<strong>in</strong> <strong>Nb</strong> <strong>films</strong> was <strong>in</strong>vestigated. Defect studies <strong>of</strong> the th<strong>in</strong> <strong>Nb</strong> <strong>films</strong> sputtered at various <strong>temperature</strong>swere performed by slow positron implantation spectroscopy (SPIS) with measurement <strong>of</strong> the Doppler broaden<strong>in</strong>g <strong>of</strong> theannihilation l<strong>in</strong>e. SPIS was comb<strong>in</strong>ed with transmission electron microscopy (TEM) and X-ray diffraction (XRD). We havefound that the <strong>films</strong> sputtered at T s =408C exhibit elongated, column-like nanocrystall<strong>in</strong>e gra<strong>in</strong>s. No significant <strong>in</strong>crease <strong>of</strong>gra<strong>in</strong> size with T s (up to 500 8C) was observed by TEM. The th<strong>in</strong> <strong>Nb</strong> <strong>films</strong> sputtered at T s =408C conta<strong>in</strong> a high density <strong>of</strong>defects. It is demonstrated by shortened positron diffusion length and a high value <strong>of</strong> the S parameter for <strong>Nb</strong> layer compared tothe well-annealed (defect-free) bulk <strong>Nb</strong> reference sample. A drastic decrease <strong>of</strong> defect density was found <strong>in</strong> the <strong>films</strong> sputtered atT s 300 8C. It is reflected by a significant <strong>in</strong>crease <strong>of</strong> the positron diffusion length and a decrease <strong>of</strong> the S parameter for the <strong>Nb</strong>layer. The defect density <strong>in</strong> the <strong>Nb</strong> layer is, however, still substantially higher than <strong>in</strong> the well-annealed reference bulk <strong>Nb</strong>sample. Moreover, there is a layer at the <strong>in</strong>terface between the <strong>Nb</strong> film and the substrate with very high density <strong>of</strong> defectscomparable to that <strong>in</strong> the <strong>films</strong> sputtered at T s < 300 8C. All the <strong>Nb</strong> <strong>films</strong> studied exhibit a strong (1 1 0) texture. The <strong>films</strong>sputtered at T s < 300 8C are characterized by a compressive macroscopic <strong>in</strong>-plane stress due to lattice mismatch between thefilm and the substrate. Relaxation <strong>of</strong> the <strong>in</strong>-plane stress was observed <strong>in</strong> the <strong>films</strong> sputtered at T s 300 8C. The width <strong>of</strong> the XRDpr<strong>of</strong>iles <strong>of</strong> the <strong>films</strong> sputtered at T s 300 8C is significantly smaller compared to the <strong>films</strong> sputtered at lower <strong>temperature</strong>s. Thisis most probably due to a lower defect density which results <strong>in</strong> reduced microstra<strong>in</strong>s <strong>in</strong> the <strong>films</strong> sputtered at higher <strong>temperature</strong>s.# 2005 Elsevier B.V. All rights reserved.Keywords: Niobium <strong>films</strong>; Cathode beam sputter<strong>in</strong>g; Slow positron implantation spectroscopy; X-ray diffraction* Correspond<strong>in</strong>g author. Tel.: +420 2 2191 2788; fax: +420 2 2191 2567.E-mail address: jcizek@mbox.troja.mff.cuni.cz (J. Čížek).0169-4332/$ – see front matter # 2005 Elsevier B.V. All rights reserved.doi:10.1016/j.apsusc.2005.08.083


3246J. Čížek et al. / Applied Surface Science 252 (2006) 3245–32511. IntroductionThe growth mode <strong>of</strong> th<strong>in</strong> <strong>films</strong> prepared bysputter<strong>in</strong>g is <strong>in</strong>fluenced by the sputter<strong>in</strong>g rate (i.e.the number <strong>of</strong> atoms which hit the substrate per unit <strong>of</strong>time) and by the sputter<strong>in</strong>g <strong>temperature</strong> T s (the<strong>temperature</strong> <strong>of</strong> substrate). Higher T s leads to anenhanced mobility <strong>of</strong> the sputtered atoms <strong>in</strong> thesubstrate plane and long-range diffusion processesstart to play an important role <strong>in</strong> the growth <strong>of</strong> the film.The effect <strong>of</strong> T s is clearly visible on niobium (<strong>Nb</strong>)<strong>films</strong> [1]: polycrystall<strong>in</strong>e <strong>Nb</strong> <strong>films</strong> are produced bysputter<strong>in</strong>g at room <strong>temperature</strong>, while a high sputter<strong>in</strong>g<strong>temperature</strong> T s = 850 8C results <strong>in</strong> a formation <strong>of</strong>epitaxial <strong>films</strong>. One can expect that the sputter<strong>in</strong>g<strong>temperature</strong> <strong>in</strong>fluences not only the gra<strong>in</strong> size but alsothe density and type <strong>of</strong> lattice defects <strong>in</strong> th<strong>in</strong> <strong>films</strong>.Thus, it is highly desirable to perform defect studies <strong>of</strong>th<strong>in</strong> <strong>films</strong> sputtered at various T s . The characterization<strong>of</strong> th<strong>in</strong> <strong>films</strong> prepared by sputter<strong>in</strong>g is usuallyperformed by X-ray diffraction (XRD). The shape<strong>of</strong> the diffraction pr<strong>of</strong>ile is <strong>in</strong>fluenced by gra<strong>in</strong> size aswell as microstra<strong>in</strong>s which could orig<strong>in</strong>ate, e.g. fromdislocations. On the other hand, po<strong>in</strong>t defects (e.g.vacancies) can only hardly be detected by XRD. Forthese reasons positron annihilation spectroscopy(PAS) is very useful for defect studies <strong>of</strong> th<strong>in</strong> <strong>Nb</strong><strong>films</strong> because it exhibits a high sensitivity to openvolumepo<strong>in</strong>t defects like vacancies, vacancy clusters,etc. [2]. Hence, XRD and PAS represent <strong>in</strong> certa<strong>in</strong> waycomplementary techniques and their comb<strong>in</strong>ation <strong>in</strong><strong>in</strong>vestigations <strong>of</strong> th<strong>in</strong> <strong>films</strong> is very efficient.In the present work we <strong>in</strong>vestigated the microstructure<strong>of</strong> th<strong>in</strong> <strong>Nb</strong> <strong>films</strong> prepared at various T s . <strong>Defects</strong>tudies <strong>of</strong> the <strong>films</strong> were performed by slow positronimplantation spectroscopy (SPIS) with measurement <strong>of</strong>the Doppler broaden<strong>in</strong>g <strong>of</strong> the annihilation l<strong>in</strong>e. TheSPIS <strong>in</strong>vestigations were comb<strong>in</strong>ed with XRD studiesand direct observation <strong>of</strong> the microstructure bytransmission electron microscopy (TEM). The purpose<strong>of</strong> this work was to clarify the <strong>in</strong>fluence <strong>of</strong> T s on themicrostructure <strong>of</strong> th<strong>in</strong> <strong>Nb</strong> <strong>films</strong>.2. Experimental detailsTh<strong>in</strong> <strong>Nb</strong> <strong>films</strong> were prepared on polished (1 0 0)Sisubstrates <strong>in</strong> an UHV chamber us<strong>in</strong>g cathode beamsputter<strong>in</strong>g at sputter<strong>in</strong>g <strong>temperature</strong>s T s = 40, 100,200, 300, 400 and 500 8C. The desired T s wasstabilized dur<strong>in</strong>g sputter<strong>in</strong>g with<strong>in</strong> 1 8C. In addition,one <strong>Nb</strong> film was sputtered at T s =408C andsubsequently annealed at 500 8C for 1 h <strong>in</strong> UHV(10 10 mbar). The surface <strong>of</strong> all samples was coveredwith a 20 nm thick Pd cap <strong>in</strong> order to preventoxidation. The thickness <strong>of</strong> the <strong>films</strong> was measured byTEM and found to lie <strong>in</strong> the range 350–400 nm forvarious <strong>films</strong>. The SPIS studies were performed at amagnetically guided positron beam ‘‘SPONSOR’’ [3]with positron energies adjustable from 0.03 to 36 keV.Energy spectra <strong>of</strong> annihilation gamma rays weremeasured by a Ge detector with an energy resolution<strong>of</strong> 1.09 0.01 keV at 511 keV. The texture measurementswere carried out on a four-axis Philips X’pertMPD diffractometer us<strong>in</strong>g Co Ka radiation. XRDmeasurements <strong>of</strong> lattice constants were performed atHasylab (DESY) us<strong>in</strong>g synchrotron radiation withwavelength l = 1.13 Å. The <strong>in</strong>ter-planar distance wasmeasured <strong>in</strong> the out-<strong>of</strong>-plane direction (i.e. <strong>in</strong> thedirection perpendicular to the film surface, whichcorresponds to c =08) and <strong>in</strong> the directions tilted byc =458 and 608 with respect to normal to the surface.In such a way, we obta<strong>in</strong>ed <strong>in</strong>formation about stress <strong>in</strong>the studied <strong>films</strong>. Diffraction pr<strong>of</strong>iles were fitted by thePearson VII function. TEM studies were performedwith a Philips CM300SuperTWIN microscope operat<strong>in</strong>gat 300 kV. Th<strong>in</strong> foils for cross sectional TEMwere produced by conventional preparation us<strong>in</strong>gGatan precision ion polish<strong>in</strong>g system (PIPS).3. Results and discussionA bright field TEM image <strong>of</strong> the film sputtered atT s =408C is shown <strong>in</strong> Fig. 1a. The film exhibitselongated ‘‘column-like’’ gra<strong>in</strong>s. The width <strong>of</strong>columns does not exceed 100 nm. Typically it liesaround 50 nm. A high resolution image <strong>of</strong> a column isshown <strong>in</strong> Fig. 1b. The columns are divided horizontally(i.e. <strong>in</strong> direction perpendicular to film-grow<strong>in</strong>gdirection) <strong>in</strong>to two ‘‘generations’’ <strong>of</strong> sub-columns.The ‘‘first generation’’ sub-columns are situated closeto the Si substrate, while the ‘‘second generation’’ subcolumnsare situated close to the film surface. A brightfield TEM image <strong>of</strong> the film sputtered at T s = 500 8Cisshown <strong>in</strong> Fig. 2a. From comparison <strong>of</strong> Figs. 1a and 2a


J. Čížek et al. / Applied Surface Science 252 (2006) 3245–3251 3247Fig. 1. (a) A bright field TEM image <strong>of</strong> the film sputtered at T s =408C and (b) a high resolution image <strong>of</strong> a s<strong>in</strong>gle column-like gra<strong>in</strong> <strong>in</strong> the film.it is clear that there is basically no differencedetectable by TEM between the film sputtered at40 8C and at 500 8C. A high resolution TEM image <strong>of</strong>the film sputtered at 500 8C is shown <strong>in</strong> Fig. 2b.A strong 1 1 0 texture was found <strong>in</strong> all the studied<strong>films</strong>. Most <strong>of</strong> gra<strong>in</strong>s are oriented so that the {1 1 0}planes are situated parallel with the film surface.However, the lateral orientation <strong>of</strong> gra<strong>in</strong>s is random.The texture becomes better developed at higher T s .In order to illustrate the effect <strong>of</strong> T s on the X-raydiffraction pattern, the XRD pr<strong>of</strong>iles correspond<strong>in</strong>g to(1 1 0)<strong>Nb</strong> reflection for selected <strong>films</strong> sputtered atvarious T s are shown <strong>in</strong> Fig. 3a and b. The pr<strong>of</strong>ilesshown <strong>in</strong> Fig. 3a were measured <strong>in</strong> the directionc =08, i.e. the scatter<strong>in</strong>g vector is perpendicular tothe film surface. The XRD pr<strong>of</strong>iles plotted <strong>in</strong> Fig. 3bwere measured on tilted sample at position c =608,i.e. the angle <strong>in</strong>cluded by the scatter<strong>in</strong>g vector and thenormal to the film surface is 608. Thus, the <strong>in</strong>terplanardistance determ<strong>in</strong>ed from position <strong>of</strong> thereflections <strong>in</strong> Fig. 3a and b, respectively, correspondto the distance between the {1 1 0} planes <strong>in</strong> the out<strong>of</strong>-planedirection and <strong>in</strong> the direction tilted by 608with respect to normal to the film surface. Thedistance d 110 between the {1 1 0} planes <strong>in</strong> bulk <strong>Nb</strong>is <strong>in</strong>dicated <strong>in</strong> Fig. 3a and b by a dashed l<strong>in</strong>e. One cansee from Fig. 3a that d 110 <strong>in</strong> the direction c =08 ishigher than that for bulk <strong>Nb</strong> <strong>in</strong> all the <strong>films</strong> studied.On the other hand, d 110 <strong>in</strong> the direction c =608 isslightly smaller than <strong>in</strong> bulk <strong>Nb</strong>. It <strong>in</strong>dicates anexistence <strong>of</strong> compressive <strong>in</strong>-plane stresses <strong>in</strong> the <strong>films</strong>caused by a lattice mismatch between the film and theSi substrate. The magnitude <strong>of</strong> the compressive stressdecreases with <strong>in</strong>creas<strong>in</strong>g T s , which is reflected by ashift <strong>of</strong> the reflections towards the positions for bulk<strong>Nb</strong>. One can see from Fig. 3a that there is a significantFig. 2. (a) A bright field TEM image <strong>of</strong> the film sputtered at T s = 500 8C and (b) a high resolution image <strong>of</strong> a s<strong>in</strong>gle column-like gra<strong>in</strong> <strong>in</strong> the film.


3248J. Čížek et al. / Applied Surface Science 252 (2006) 3245–3251Fig. 3. XRD pr<strong>of</strong>iles for selected <strong>films</strong> measured at position (a) c =08 and (b) c =608. Thicker solid l<strong>in</strong>e, T s =408C; dotted l<strong>in</strong>e, T s = 200 8C;dashed l<strong>in</strong>e, T s = 300 8C; th<strong>in</strong> solid l<strong>in</strong>e, T s = 500 8C; dash-dotted l<strong>in</strong>e, T s =408C with subsequent anneal<strong>in</strong>g at 500 8C for 1 h. The d 110 <strong>in</strong>terplanardistance <strong>in</strong> the bulk <strong>Nb</strong> is <strong>in</strong>dicated by the vertical-dashed l<strong>in</strong>es.change <strong>of</strong> the position <strong>of</strong> the (1 1 0) reflection forT s 300 8C. Thus, start<strong>in</strong>g from T s = 300 8C thecompressive stresses <strong>in</strong> the <strong>films</strong> are partially relaxed.Not only the position but also the width <strong>of</strong> thereflections depends strongly on T s . The broaden<strong>in</strong>g <strong>of</strong>XRD pr<strong>of</strong>iles is caused either by small gra<strong>in</strong> size or bymicrostra<strong>in</strong>s <strong>in</strong>duced by local elastic field <strong>of</strong> certa<strong>in</strong>defects, e.g. misfit dislocations. From Fig. 3a itisclear that the sample prepared at T s =5008C exhibitsthe narrowest XRD pr<strong>of</strong>ile. On the other hand, thehighest width <strong>of</strong> the XRD pr<strong>of</strong>ile was found on thefilm sputtered at T s =408C. As no difference <strong>in</strong> gra<strong>in</strong>size between these two samples has been observed byTEM, we conclude that the narrow<strong>in</strong>g <strong>of</strong> XRD pr<strong>of</strong>ilefor the film sputtered at T s =5008C is due to adecrease <strong>of</strong> defect density. The <strong>in</strong>crease <strong>of</strong> T s from 40to 200 8C leads to a decrease <strong>of</strong> width <strong>of</strong> XRD pr<strong>of</strong>ilescaused by a decrease <strong>of</strong> defect density. However, therelaxation <strong>of</strong> compressive stresses at T s =3008Cwhich leads to a shift <strong>of</strong> the peak position isaccompanied by an <strong>in</strong>crease <strong>of</strong> the width <strong>of</strong> thereflection, see Fig. 3a. It could be due to <strong>in</strong>troduction<strong>of</strong> misfit dislocations which accommodate thestresses caused by the lattice mismatch. Further<strong>in</strong>crease <strong>of</strong> T s from 300 to 500 8C leads aga<strong>in</strong> to asignificant narrow<strong>in</strong>g <strong>of</strong> XRD pr<strong>of</strong>iles due to decrease<strong>of</strong> defect concentration <strong>in</strong> the film. Note that the <strong>films</strong>puttered at T s =408C and subjected to subsequentanneal<strong>in</strong>g at 500 8C is characterized by relaxation <strong>of</strong>the stresses, i.e. a shift <strong>of</strong> the peak position towardsthat for bulk <strong>Nb</strong>, however, the width <strong>of</strong> the pr<strong>of</strong>ilerema<strong>in</strong>s large. It <strong>in</strong>dicates that defect density <strong>in</strong> thisfilm is comparable with the film sputtered atT s =408C.The reflection measured at c =08 for the <strong>films</strong>puttered at T s =408C is asymmetric. It can be wellseen <strong>in</strong> Fig. 4a where it is plotted <strong>in</strong> a f<strong>in</strong>er scale. Theshape <strong>of</strong> the pr<strong>of</strong>ile <strong>in</strong>dicates that it is a superpositionFig. 4. (a) XRD pr<strong>of</strong>ile for the film sputtered at T s =408C, measured <strong>in</strong> position c =08 and (b) XRD pr<strong>of</strong>ile for the film sputtered at T s = 300 8C,measured <strong>in</strong> position c =08. The pr<strong>of</strong>ile is a superposition <strong>of</strong> several reflections shown by the dotted l<strong>in</strong>es.


J. Čížek et al. / Applied Surface Science 252 (2006) 3245–3251 3249<strong>of</strong> several reflections, namely: (i) the (1 1 0) reflectionfrom the ‘‘first generation’’ sub-columns <strong>in</strong> <strong>Nb</strong> layer,(ii) the (1 1 0) reflection from the ‘‘second generation’’sub-columns <strong>in</strong> <strong>Nb</strong> layer and (iii) a weak andbroad (1 1 1) reflection from the Pd cap. Note that it isnot possible to fit the XRD pr<strong>of</strong>ile properly without theassumption <strong>of</strong> different distances d 110 <strong>in</strong> the ‘‘firstgeneration’’ and <strong>in</strong> the ‘‘second generation’’ subcolumns.The same result was obta<strong>in</strong>ed on a thicker(1.1 mm) <strong>Nb</strong> film sputtered under the same conditions(see ref. [4] for more detailed discussion). Theasymmetry <strong>of</strong> XRD pr<strong>of</strong>iles disappears at T s 300 8C8C and the pr<strong>of</strong>iles are then well-fitted by a s<strong>in</strong>gle(1 1 0) reflection from the <strong>Nb</strong> layer and the reflectionfrom Pd cap. As an example, the XRD pr<strong>of</strong>ile for thefilm sputtered at T s = 300 8C is shown <strong>in</strong> Fig. 3b.Additionally, the <strong>in</strong>ter-planar distance d 110(<strong>Nb</strong>(1 1 0) reflection) <strong>in</strong> the direction c =608 andthe distance d 200 (<strong>Nb</strong>(2 0 0) reflection) <strong>in</strong> thedirection c =458 were measured. Both the d 110and d 200 distances for the two generations <strong>of</strong> subcolumnslie <strong>in</strong> these directions too close to each otherto separate their reflections <strong>in</strong> XRD spectrum.The lattice constants a calculated from the <strong>in</strong>terplanardistance <strong>in</strong> the directions c =08,458 and 608 areplotted <strong>in</strong> Fig. 5a as a function <strong>of</strong> T s . The lattice constantfor bulk <strong>Nb</strong> [5] is shown <strong>in</strong> the figure by a dashed l<strong>in</strong>e.Below T s = 300 8C, the <strong>in</strong>ter-planar distance <strong>in</strong> the two‘‘generations’’ <strong>of</strong> sub-columns differs <strong>in</strong> the directionc =08. The ‘‘first generation’’ sub-columns exhibit ahigher d 110 <strong>in</strong> this direction than the ‘‘secondgeneration’’ sub-columns. On the other hand, aboveT s = 300 8C, there is no significant difference betweend 110 <strong>in</strong> both ‘‘generations’’ <strong>of</strong> sub-columns and thereis only a s<strong>in</strong>gle value <strong>of</strong> a for c =08. One can see <strong>in</strong>Fig. 5a that a <strong>in</strong> the direction c =08 lies significantlyabove that for bulk <strong>Nb</strong>. A progressive decrease <strong>of</strong> atakes place from T s = 40–200 8C, while at higherT s > 300 8C it becomes approximately constant. Thevalues <strong>of</strong> a <strong>in</strong> the direction c =608 are lower than <strong>in</strong> thebulk <strong>Nb</strong>. It testifies the existence <strong>of</strong> compressivestresses <strong>in</strong> the <strong>in</strong>-plane direction <strong>in</strong> all the <strong>films</strong> studied.Only moderate changes <strong>of</strong> a with T s can be seen <strong>in</strong> thedirections c =458 and 608. The ma<strong>in</strong> feature is adecrease <strong>of</strong> a at T s = 300 8C. Anneal<strong>in</strong>g <strong>of</strong> the film at500 8C after sputter<strong>in</strong>g (T s =408C) leads to asubstantial decrease <strong>of</strong> a, see Fig. 5a, which becomeseven lower than that for the film sputtered atT s = 500 8C. Thus, anneal<strong>in</strong>g <strong>of</strong> the as-sputtered <strong>films</strong>seems to be an effective way how to relax thecompressive stresses.The dependence <strong>of</strong> the S parameter on positronenergy E for selected <strong>Nb</strong> <strong>films</strong> is plotted <strong>in</strong> Fig. 5b. Alocal m<strong>in</strong>imum <strong>of</strong> S at E = 1 keV is due to positronannihilations <strong>in</strong> the Pd cup. It was confirmed bymeasurement <strong>of</strong> a reference Pd film. Subsequent<strong>in</strong>crease <strong>of</strong> S is caused by an <strong>in</strong>creas<strong>in</strong>g fraction <strong>of</strong>positrons annihilat<strong>in</strong>g <strong>in</strong>side the <strong>Nb</strong> layer. In theenergy range from 5 to 7 keV, the contribution <strong>of</strong>positron annihilations <strong>in</strong>side the <strong>Nb</strong> layer is maximaland S exhibits a plateau-like behavior. At higherenergies, positrons start to penetrate <strong>in</strong>to the SiFig. 5. (a) The lattice constant a determ<strong>in</strong>ed from <strong>in</strong>ter-planar distances <strong>in</strong> various directions as a function <strong>of</strong> T s . Full circles, direction c =08,‘‘first generation’’ sub-columns; open circles, direction c =08, ‘‘second generation’’ sub-columns; full squares, direction c =08, both‘‘generations’’ <strong>of</strong> sub-columns (T s 300 8C); full triangles, direction c =458; open triangles, direction c =458, the gray symbols correspondsto the film sputtered at T s =408C and subjected to subsequent anneal<strong>in</strong>g at 500 8C; gray circle, direction c =458; gray triangle oriented-up,c =458; gray triangle oriented-down, c =608 and (b) dependencies <strong>of</strong> the S parameter on positron energy E for selected <strong>films</strong>. The solid l<strong>in</strong>esshow the fit performed by VEPFIT.


3250J. Čížek et al. / Applied Surface Science 252 (2006) 3245–3251Fig. 6. Results <strong>of</strong> fit <strong>of</strong> the S(E) curves (a) dependence <strong>of</strong> fitted S on T s ; full circles, S for the <strong>Nb</strong> layer; open circles, S for the layer with misfitdislocations situated close to the <strong>in</strong>terface between the <strong>films</strong> and the substrate; full triangle, S for the <strong>Nb</strong> layer for the film sputtered at T s =408Cand subjected to subsequent anneal<strong>in</strong>g at 500 8C; open triangle, S for the layer with misfit dislocations for the film sputtered at T s =408C andsubjected to subsequent anneal<strong>in</strong>g at 500 8C and (b) dependence <strong>of</strong> positron diffusion length on T s ; full circles, <strong>Nb</strong> layer; open circles, the layerwith misfit dislocations, the triangles denote the results for the film sputtered at T s =408C and subjected to subsequent anneal<strong>in</strong>g at 500 8C; fulltriangle, <strong>Nb</strong> layer; open triangle, the layer with misfit dislocations.substrate which leads to further <strong>in</strong>crease <strong>of</strong> S. As onecan see <strong>in</strong> Fig. 5b, there is not much differencebetween the S(E) curves for T s = 40 and 200 8C as wellas for the film sputtered at T s =408C and subjected toadditional anneal<strong>in</strong>g at 500 8C. On the other hand, theshape <strong>of</strong> the S(E) curves has changed remarkably forthe film sputtered at T s = 300 and 500 8C. The S(E)curves were fitted by the VEPFIT s<strong>of</strong>tware package[6] (see the solid l<strong>in</strong>es <strong>in</strong> Fig. 5b). For T s < 300 8C, theS(E) curves were well-fitted us<strong>in</strong>g a three-layer model:Pd cap, <strong>Nb</strong> layer and Si substrate. However, thisapproach failed for the <strong>films</strong> sputtered at T s > 300 8C.In order to create a model which fits satisfactorily theS(E) curves for the <strong>films</strong> sputtered at higher<strong>temperature</strong>s it was necessary to assume the existence<strong>of</strong> an additional layer with a high density <strong>of</strong> defectssituated close to the <strong>in</strong>terface between the film and Sisubstrate. Such a layer could conta<strong>in</strong> predom<strong>in</strong>antlymisfit dislocations which accumulate the latticemismatch between the film and the substrate. Thedependence <strong>of</strong> the fitted S parameter for <strong>Nb</strong> layer on T sis plotted <strong>in</strong> Fig. 6a. For T s 300 8C, the S parameterfor the defected layer situated close to the film<strong>in</strong>terface with substrate is plotted <strong>in</strong> Fig. 6a as well.The fitted positron diffusion length L for the <strong>Nb</strong> layer(for T s 300 8C also for the layer with defects) isplotted <strong>in</strong> Fig. 6b as a function <strong>of</strong> T s . The S parameterlies well above that for the reference defect-free bulk<strong>Nb</strong> at all T s . It <strong>in</strong>dicates that a significant fraction <strong>of</strong>positrons annihilate from the trapped state at defects.Clearly, there is a pronounced change <strong>of</strong> S as well as Lat T s =3008C. The XRD studies have revealed thatrelaxation <strong>of</strong> the compressive stresses occurs atT s = 300 8C. This process leads probably to an<strong>in</strong>troduction <strong>of</strong> misfit dislocations and to the formation<strong>of</strong> the defect layer because the lattice mismatchbetween the film and the substrate is no morecompensated by the elastic stra<strong>in</strong>s. Thus, a layer withhigh density <strong>of</strong> misfit dislocations is formed close tothe <strong>in</strong>terface between the film and the substrate, whilethe defect density <strong>in</strong> the rest <strong>of</strong> the film is reduced as<strong>in</strong>dicated by a decrease <strong>of</strong> S and <strong>in</strong>crease <strong>of</strong> L. One cansee <strong>in</strong> Fig. 6b that the positron diffusion length <strong>in</strong> thedefected layer is comparable with that <strong>in</strong> the <strong>films</strong>sputtered at T s < 300 8C and it does not change withT s . The positron diffusion length for the rema<strong>in</strong><strong>in</strong>g <strong>Nb</strong>layer exhibits a moderate <strong>in</strong>crease also at T s > 300 8C,accompanied by a decrease <strong>of</strong> correspond<strong>in</strong>g Sparameter. It <strong>in</strong>dicates a further reduction <strong>of</strong> thedefect density <strong>in</strong> the <strong>films</strong>.4. ConclusionsThe <strong>in</strong>fluence <strong>of</strong> the sputter<strong>in</strong>g <strong>temperature</strong> T s(varied from 40 to 500 8C) on the microstructure <strong>of</strong>th<strong>in</strong> <strong>Nb</strong> <strong>films</strong> was studied. The <strong>films</strong> are characterizedby column-like gra<strong>in</strong>s (width < 100 nm) and compressive<strong>in</strong>-plane stresses. It was found that the gra<strong>in</strong>size is basically <strong>in</strong>dependent on T s . A partialrelaxation <strong>of</strong> the stresses occurs at T s = 300 8C andis demonstrated by a shift <strong>of</strong> XRD reflections. SPIS


J. Čížek et al. / Applied Surface Science 252 (2006) 3245–3251 3251studies have shown that the stress relaxation isaccompanied by an <strong>in</strong>troduction <strong>of</strong> misfit dislocations<strong>in</strong> a layer situated close to the <strong>in</strong>terface between thefilm and the substrate, while the defect density <strong>in</strong> therema<strong>in</strong><strong>in</strong>g part <strong>of</strong> the film decreases.AcknowledgementsThis work was supported by The Czech ScienceFoundation (project no. 202/05/0074), The M<strong>in</strong>istry <strong>of</strong>Education, Youth and Sports <strong>of</strong> The Czech Republic(projects nos. 1K03025 and MS 0021620834) and TheAlexander von Humboldt Foundation.References[1] U. Laudahn, A. Pundt, M. Bicker, U.V. Hülsen, U. Geyer, T.Wagner, R. Kirchheim, J. Alloys Compd. 293–295 (1999)490.[2] P. Hautojärvi, C. Corbel, <strong>in</strong>: A. Dupasquier, A.P. Mills, Jr.(Eds.), Positron Spectroscopy <strong>of</strong> Solids, IOS, Amsterdam, 1995,p. 491.[3] W. Anwand, H.-R. Kissener, G. Brauer, Acta Phys. Pol. A 88(1995) 7.[4] J. Čížek, I. Procházka, G. Brauer, W. Anwand, A. Mücklich, R.Kirchheim, A. Pundt, this volume.[5] ICDD (International Centrum for Diffraction Data) powderdiffraction pattern database PDF-2.[6] A. van Ween, H. Schut, M. Clement, J. de Nijs, A. Kruseman,M. Ijpma, Appl. Surf. Sci. 85 (1995) 216.

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