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E L S E V I E R Thin Solid Films 292 (1997) 61-68

lhi o

Microstructure of Co-Ni/Au multilayers studied by XRD

D. Rafaja a.,, M. Chl~idek a, V. Valvoda a, M. Seddat b, H. Lassri b, R. Krishnan b

Faculty of Mathematics and Physics, Charles University, Prague, Ke Karlovu 5, CZ-121 16 Prague 2, Czech Republic b Laboratoire de Magndtisme et Mat~riaux Magndtiques, CNRS, F-92195 Meudon, France

Received 11 January 1996; accepted 30 May 1996

Abstract

Several series of Co-Ni/Au multilayers were investigated using different X-ray diffraction methods. The compositions and thicknesses of the Co-Ni layers were varied, and the influence of temperature treatment of gold buffer on the quality of the multilayers was studied. According to the results, the quality of the multilayers is influenced primarily by the roughness of the substrate and the buffer. The Co-Ni/Au multilayer systems grow predominantly with a replicative, highly correlated roughness induced by the substrate and buffer roughness. A cumulative roughness was found only rarely. In contrast, a decrease in the original roughness towards the sample surface was found for certain deposition parameters.

Keywords: Cobalt; MuItilayers; Nickel; X-ray diffraction

1. Introduction

Many physical properties of materials are related to both their structure and microstructure. This is also true of multi- layers, which are now being studied intensively due to their interesting novel magnetic and magneto-optical properties.

Giant magnetoresistance, surface magnetic anisotropy and Kerr rotation are the most frequently reported effects [ 1-3 ].

Concerning Co~',tix _ J A u multilayers, we have recently shown [3] that with the addition of cobalt the surface ani- sotropy becomes strongly positive and the perpendicular magnetization is stabilized. We also found that the magnetic properties are quite sensitive to the deposition parameters, e.g. the attributes of buffer layer, whether annealed or not, its thickness, etc.

Multilayers that show interesting magnetic and magneto- optical properties are created by very thin layers usually with thicknesses below 2 nm. The crystallographic structures of such materials vary widely and, of course, differ from those of the bulk components. The real structure of multilayers is one factor that influences their physical properties; another is the quality of the interfaces, which is usually described in terms of the interface roughness. We have therefore carried out detailed X-ray diffraction studies of miscellaneous sam- ples of CoxNi~ _x/Au multilayers. The cobalt concentration (x), the thicknesses of the respective layers and the number

* Corresponding author.

of bilayers were varied, and different substrate materials were used. The Au buffer layers were annealed at various temper- atures before depositing the multilayers.

2. Sample preparation

The CoxNii_x/Au multilayers were prepared by dual e- beam evaporation under UHV and controlled conditions. The pressure during deposition was in the range 1-5 × 10 .9 Torr;

the deposition rate was typically 1 nm min - 1. The thickness of each layer was independently checked by a previously calibrated quartz crystal. The thickness of the gold layer, t(Au), was kept constant at 1.5 nm, but that of the magnetic layer was varied in the range 0.5-3.0 nm.

A gold buffer layer 10 nm thick was first deposited onto glass or Si substrates kept at room temperature. The multi- layer was then grown on this buffer layer. In some cases the gold buffer was annealed at 200°C for 2 h and then the Co~Nii _x/Au multilayer was grown. Three cobalt concentra- tions were used, x = 0, 0.35 and 0.70.

The magnetic alloy layer was evaporated from an alloy ingot. It was later verified by electron probe microanalysis that the layer composition corresponded to that of the ingot within our limits of accuracy. The magnetization of a single layer of the alloy about 50 nm thick also confirmed the above point.

0040-6090/97/$17.00 Copyright © 1997 Elsevier Science S.A. All rights reserved

P I I S O O 4 0 - 6 0 9 0 ( 9 6 ) O 8 9 7 8 - X

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62 D. Rafaja et al./ Thin Solid Fibns 292 (1997) 61--68

3. Experimental

The microstructure of CoxNil_x/Au multilayers was investigated by means of X-ray diffraction (XRD). In terms of XRD, the multilayers are basically characterized by several kinds of periodicity that occurs in such systems. The first one corresponds to the average interplanar spacing of the multi- layer, d, which is a weighted d-spacing of the two materials present in the multilayer. In the diffraction pattern, the main Bragg peak located in the high-angle region (HAR, 20> 15 °) is directly related to the average interplanar spacing d. This d-spacing is modulated across the multilayer by the bilayer thickness, and thus satellite peaks appear near the main Bragg maximum. Their positions contain information on the thick- ness of one bilayer, A, which is also hidden in the positions of the diffraction maxima in the low-angle region (LAR, 20 < 15 °) The next quantity that can be investigated by means of XRD is the total thickness of the multilayer, t. Its projection into reciprocal space are the Kiessig interferences, which can be found in the LAR.

Besides the periodicity, which is calculated from the posi- tions of diffraction lines only, other physical parameters of the multilayer microstructure can be estimated from the inten- sity and shape of the diffraction profiles. Two representative parameters are the width of continuous interface roughness, c, and the fluctuations in the interplanar spacing of the respec- tive material [ 6], which are usually obtained from the HAR.

To obtain additional information on the quality of the inter- faces, reflectivity measurements must be performed in the LAR. These measurements yield information on the state of the surface and the interface roughness, as well as on the correlation between the roughnesses of the substrate and the surface.

The information on the interface quality contained in the continuous interface roughness is completed by the discrete interface roughness. The continuous interface roughness, which is obtained from the broadening of superlattice peaks in the HAR, is mainly related to the loss of long-range order.

This is usually caused by variations in the thickness of par- ticular layers, which originate in the unequal number of atomic planes deposited in each layer and by interface dis- order due to the incommensurate lattice mismatch. The dis- crete interface roughness, which is calculated from the decrease in the reflected intensity in the LAR, refers to lateral changes in the interface positions. The variances in interface positions include both the steps between neighbouring grains and the curvature measured over the whole irradiated area of the sample. Therefore, large differences of up to an order of magnitude can be observed in numerical values of the con- tinuous and discrete roughnesses [ 6].

Diffraction patterns in the HAR were measured using a conventional Bragg-Brentano diffractometer XRD-7 (Sei- fert & FPM) operating with nickel filtered radiation of a copper anode. Considering the sample size, the divergence of the primar~j beam was fixed to 0.2 °. The receiving slit was 0.15 mm wide. A Soller collimator was inserted into the

diffracted beam. This instrumental setup offers sufficiently good resolution in the HAR at relatively high diffraction line intensities. As a measure of the resolution, the full width at half maximum (FWHM) of the instrumental part of the dif- fraction profile is usually reported. The value of the FWHM was 0.065°20, as measured using LaB 6 powder produced by NIST as a standard for instrumental broadening. The angular interval 20-- 25°-55 ° was scanned repeatedly in step sizes of 2 0 = 0.05 °, with a total counting time of 40 s per step.

The measurements in the LAR were performed using a double-crystal diffractometer (BEDE). As a source of radi- ation, an 18 kW rotating anode generator was used. The copper radiation was monochromatized by a flat ( 111)-ori- ented germanium single crystal. The high intensity of the rotating anode allowed the use of very narrow slits that are necessary to obtain a good resolution. The first slit reduced the width of the primary beam to about 80 tzm, and the second receiving slit was 150 ~m wide to restrict the intensity of the scattered radiation. The reflectivity curves were taken in sym- metrical 20-0 scans. To complete the information on the multitayer structure, ~-scans and offset-scans were also done in the LAR. The diffraction patterns in the LAR were meas- ured in steps of 30-50 arcsec (20=0.017-0.028 °) with a counting time of 6 s per step.

4. Methods of data reduction

To evaluate the XRD diffraction measurements, four meth- ods of data reduction were applied. Starting with a plain technique, we performed the line fitting using an analytical function, the superlattice refinement from the HAR diffrac- tion pattern, a standard optical theory using a recursive Fres- nel formalism, and finally, diffraction theory based on the distorted wave Born approximation for the LAR refinement.

The first method approximates the diffraction profiles using an analytical function. This is especially useful for ab initio calculations of the mean d-spacings and the bilayer thicknesses from the HAR measurements. Besides the posi- tions of the diffraction maxima, the refinement also gives the line width (FWHM), the integral intensity and the shape of the separated diffraction lines. However, the obtained data must first be transformed into parameters that describe the microstructure of multilayers directly (the averaged-spacing, the bilayer thicknessl the strain and the coherent domain size). The profile analysis was performed using the computer program DIFPATAN [ 4 ]. In all cases, the Pearson VII func- tion was chosen.

For the direct calculation of microstructural parameters,

we used the program SUPREX (superlattice refinement by

X-ray diffraction) [5], which performs least-squares refine-

ments of the microstructure parameters using different

multilayer models. The diffraction pattern is calculated

according to the kinematic theory of diffraction. As a suitable

model, we chose the standard A/B superlattice, where A and

B are assumed to be single elements. The model includes

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D. Rafaja et al. / Thin Solid Films 292 (1997) 61-68 63 strain profiles, discrete and continuous disorder [6].

Although the microstructure model implemented in SUPREX also allows us to determine the stage of interdiffusion, this utility was not used, because the interdiffusion parameters are strongly correlated with other microstructure parameters, such as the interference roughness. Moreover, the interdif- fusion of Co or Ni and Au atoms can be neglected.

From the reflectivity measurements, the microstructure characteristics of the multilayers were refined using the stan- dard optical theory that applies a recursive Fresnel formalism described by Underwood and Barbee [7] to a suitable model of the multilayer structure [ 1 ]. The SUPREX calculations in the LAR yielded the substrate, buffer, interface and surface roughnesses, and the thicknesses of all parts of the multilay- ers. The results of the SUPREX refinement were then com- pared with those obtained from the theory based on the distorted wave Born approximation (DWBA) [8] extended by Hol~ [9] for layered systems.

Both the LAR and the HAR refinements are generally applied for structural characterization ofwell-developedmul- tilayers. Such systems often have large thicknesses, as they consist of a large number of bilayers, and low interference roughness. A consequence of these phenomena is that the diffraction patterns are well pronounced and can be easily interpreted. We also tried to employ the HAR and LAR SUPREX and D W B A refinements to study the real structure of very thin and severely damaged multilayers. Although extremely thin magnetic multilayers have been investigated intensively to determine their magnetic and magneto-optical characteristics, in most cases structural studies have been inadequate.

5. Results

5. l . M u l t i l a y e r s o n d i f f e r e n t s u b s t r a t e s

Two identical multilayer systems Coo.35Nio.6JAu (1.8 nm/1.5 nm) lo were deposited onto glass and single-crystal oriented (111) silicon substrates. The nominal thicknesses of the respective materials were obtained by a quartz crystal.

In both cases, the substrate was covered with a 10 nm gold buffer layer.

Fig. 1 compares the reflectivity curves and diffraction pat- terns measured in the HAR. The values of the parameters inspected in the HAR, i.e. bilayer thickness, thicknesses of individual materials, average interplanar spacing, continuous interface roughness and strain, are similar for both substrates.

The real thickness of one bilayer calculated from the HAR pattern was ( 3 . 5 9 + 0 . 0 4 ) nm. This was confirmed by the LAR refinement, where the bilayer thickness (3.60 __ 0.05) nm was found. The SUPREX analysis yielded the thicknesses t ( C o - N i ) = (2.17_+0.03) nm and t(Au) = (1.42_+0.04) nm.

The strain, which is defined as the relative change in the d-spacing, is larger in the Co--Ni composite than in gold in

_=

108 107 106 105 10 4 10 3 10 2 101 100

(a) Angle (°20)

90 I

75 60

4s !

30 15 0

25 30 35

%

410 415 ' 510 ' 55

(b) Angle (°20)

Fig. 1. (a) Reflectivity curves and (b) high-angle diffraction patterns meas- ured on Coo.35Nio.65/Au (1.8 nm/l.5 nm)~o multilayers deposited onto silicon (circles) and glass (triangles) substrates. The respective SUPREX fits are drawn as solid lines.

both cases. The strain values in Co-Ni and in gold have opposite signs, as the deformation near the interface is caused by the lattice mismatch. In addition, the strain profiles of both Co-Ni and Au are strongly asymmetric. Although the differ- ences in the HAR diffraction patterns are small, the results indicate that multilayer deposited on the silicon substrate is less regular than that deposited on glass. The influence of the substrate material on the quality of the multilayer becomes clear from the reflectivity measurements. Although the sub- strate roughnesses yielded by SUPREX are the same, (0.75 +_ 0.05) nm, the buffer roughness is greater if the gold buffer is deposited on silicon, o-buff(Si) = (1.10 + 0.05) nm, than on glass, O-buff(glass)----(0.70+0.05) nm. The buffer roughness is then more or less replicated towards the sample surface. A slight cumulative roughness was observed only for the glass substrate. The replicative and highly correlated interface roughnesses were also confirmed by the large amount of diffuse scattering, which contributes to the meas- ured intensity and causes a discrepancy between the observed and calculated reflectivity curves. This effect is unmistakable at the position of the first Bragg maximum (Fig. la) because the diffuse scattering is not subtracted in the SUPREX refine- ment before fitting the specular reflectivity.

Concurrently with the relatively high roughness obtained

from the LAR measurements, we observed a relatively high

continuous disorder obtained from the HAR diffraction pat-

terns: c(glass) -- 0.033 nm and c(Si) -- 0.034 nm.

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64 D. Rafaja et al. / Thin Solid Films 292 (1997) 61--68

107',

lO 6

105`

• ,~ 104 103

, g

,- 102 101

i

10 o 10-1

1 2 3 4 5 6 7

(a) Angle (°2®)

2250 2000 1750

"~. 1500 1250

~ 1000

750

-

500

250

0 34 36 38 40 42 44 46

(b) Angle (°28)

Fig. 2. Comparison of (a) reflectivity curves and (b) high-angle diffraction patterns for multilayers deposited on different buffers. Data: C%.TNio.3/Au (0.63 nm/1.5 nm)~6 multilayer deposited on a 10 nm non-annealed gold buffer (circles); Coo.7Nio.3/Au (0.54 nm/1.5 nm) ~6 multilayer deposited on a 10 nm annealed gold buffer (triangles); and on a 30 nm annealed gold buffer (squares).

5.2. Thermal treatment of the buffer

Two Coo.7Nio.3/Au (0.54 nm/1.5 nm) 16 multilayer spec- imens were deposited onto glass substrates covered with gold buffers of different thicknesses, 10 and 30 nm, both annealed at 200°C for 2 h. These samples were compared with a similar multilayer, COo.TNio.3/Au (0.63 nm/1.5 nm)1~, grown on a 10 nm thick non-annealed gold substrate. The HAR diffrac- tion patterns and the reflectivity curves of these samples are shown in Fig. 2. For the sample with the 10 nm thick annealed gold buffer, these measurements were accompanied by an offset scan carried out at A = 300 arcsec and an I)-scan taken at 7980 arcsec (Fig. 3). In the [2-scan, the detector was located at the position of the first Bragg maximum corre- sponding to the bilayer thickness.

The SUPREX refinement confirmed that the thickness of the gold layers in the system is ( 1.5 4- 0.1 ) nm, as obtained from measurements using a quartz oscillator. The real thick- ness of the Co-Ni layers differs insignificantly from the nom- inal value. SUPREX yielded the following data: t(Ccr- Ni) = ( 0 . 7 6 + 0 . 0 9 ) nm rather than 0.63 nm for the non- annealed buffer, and t ( C o - N i ) = ( 0 . 6 2 + 0 . 0 8 ) nm rather than 0.54 nm for the 30 nm thick gold buffer. The thickness of Co--Ni layers in the sample deposited onto a 10 nm gold

1 0 6 ~oo

4oo

10 5 3oo

2 ~ 8

~ 104 1~o

&

lO 3 102

100 1 2 3 4 5 6 7

Angle (°2@)

Fig. 3. Symmetrical 20-0 scan (solid line) and offset scan taken at A = 300 arcsec (crosses) for the Coo.7Nio,3/Au (0.54 n m / t . 5 nm)t6 multilayer deposited on a 10 nm annealed buffer. Inset: O-scan at the first Bragg

maximum corresponding to the bilayer thickness.

buffer, t ( C o - N i ) = (0.56-t-0.03) nm, agrees well with the nominal value of 0.54 rim.

The annealing process strongly affects the microstructure of the gold buffer. First, an increase in the coherent domain size in the gold buffer was observed. In different samples deposited on non-annealed buffers, the integral broadening of the diffraction line (111) of gold was 0.28-0.39 nm -~

despite the buffer thickness. The (111) reflection of gold is well separated from the satellite peaks corresponding to the multilayer structure at this bilayer thickness and at the given average d-spacing. Therefore, both the intensity and the broadening of the (111) gold line can be determined with high accuracy. Assuming a negligible microstrain in the gold buffer, the line broadening given above corresponds to a coherent domain size of 2.5-3.5 nm. After annealing, the size of coherent domains in buffer was comparable with the buffer thickness. The profile analysis yielded gold crystallites about 11 nm in size in the 10 nm gold buffer, and 31.5 nm in size in the 30 nm gold buffer. This indicates that the first layer grows coherently with the buffer. We speculate that the first Co-Ni layer is more damaged and thinner than it should be according to its nominal thickness. We assume that the cov- erage of the first Co-Ni layer is not continuous over the whole buffer, but grows in separated grains (islands).

After annealing, the gold buffer tends to be strongly { 111 } textured. An additional effect that occurs after annealing is a relaxation of the lattice parameter of the gold in the buffer towards its bulk value. The originally low value of the lattice parameter increases with both buffer thickness and annealing.

The annealing causes the relaxation of the strain and stress in the buffer; the increasing buffer layer thickness probably reduces the influence of the next Co-Ni layer on the buffer.

In comparison with the first series of samples, large vari-

ations in the microstructure are noticeable if buffers of dif-

ferent thickness are used, or if the buffer is annealed. Both

the annealing of the buffer and the use of a larger buffer

thickness results in lower strain in both materials. This was

indicated by a decrease in the broadening of the diffraction

lines corresponding to the multilayer structure and therefore

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D. Rafaja et al. / T h i n Solid Films 292 (1997) 61-68 65

Table 1

Comparison of the continuous, interface and cumulative roughness for muttilayers deposited onto different buffers. A steep decrease in the buffer roughness against the basic substrate roughness with annealing and the buffer thickness is illustrated in the last column

Sample c / n m or(inter)/nm o-(cum)/nm o-(buffer) / o'(substrate)

Coo.7Nio.3/Au (6.3/15) 1~ 10 nm non-annealed 0.012 0.54 0.113 1.67

Coo.7Nio.3/Au (5.4/15) 16 10 nm annealed at 200 °C for 2 h 0.016 0.54 0 0.95

COo.TNio.3/Au (5.4/15) 16 30 nm annealed at 200 °C for 2 h 0.020 0.13 0 0.52

by a narrower distribution in interplanar spacing. Here also, the Co-Ni layers are more strained than the Au layers, but almost no asymmetry in the strain profile was found in this series of samples. Only a slight strain asymmetry was detected for the Co-Ni layers. The continuous interface roughness increases with both the annealing of the buffer and with increasing buffer thickness. Nevertheless, the continu- ous roughness is substantially lower than in samples with the inverse Co-Ni ratio, Coo.35Nio.6JAu (1.8 nm/1.5 nm)lo investigated in the previous case. The SUPREX refinement in the HAR yielded the continuous roughness values listed in Table 1. However, it follows from the reflectivity measure- ments that both the annealing of buffer and a larger buffer thickness reduce the overall interface roughness as well as the cumulative roughness. The cumulative interface rough- ness is defined as an increase in the interface roughness towards the sample surface according to

o-~ = cra(AB) + j . cr2(cum)

wherej is the number of the bilayer relative to the substrate, crj is the interface roughness at thejth bilayer, cr(AB) is the basic interface roughness at the substrate or buffer and o-(cum) is the cumulative interface roughness.

Annealing the buffer and applying a large buffer thickness, the continuous disorder in multilayers indicated by c values becomes more dominant, but the discrete disorder measured by the interface roughness in the LAR decreases rapidly. For the stage of the discrete interface disorder, the roughness at the top of buffer is crucial. The important role of the buffer quality is illustrated in Table 1 by means of the ratio o-(buffer)/o-(substrate). Starting with approximately the same substrate roughnesses in all three cases, the buffer roughness is higher than the substrate roughness if the buffer was not annealed. After annealing the buffer at 200 °C for 2 h, the original roughness was slightly reduced. Finally, by annealing the 30 nm thick substrate at 200 °C for 2 h, the original substrate roughness was reduced to half of that at the top of the buffer.

The different behaviours of the continuous and the discrete interface roughnesses can be explained by means of the estab- lished definitions of these two parameters. The continuous interface roughness is defined as the variation in the bilayer thickness measured along the direction of the diffraction vec- tor, whereas the discrete roughness is related to lateral fluc- tuations in the interface positions in neighbouring blocks. A broken multilayer structure, which is characterized by a high discrete roughness, can exhibit a low continuous roughness

if the neighbouring blocks are mutually independent. With the improvement in interface quality, indicated by a decrease in the discrete interface roughness, the lateral coherent size becomes larger and the interaction between neighbouring domains increases. A growth of the continuous roughness and an expansion of the strain profile can be observed as a consequence.

From the measurements performed in the LAR we can confirm the qualitative conclusions about the correlated roughness in the multilayer stack. The high reflected intensity observed in the offset scan carried out on the C o o . 7 N i o . 3 / A u

(0.54 nm/ 1.5 nm)16 sample (Fig. 3) shows a strongly cor- related roughness [10]. Such a distribution of diffracted intensity is caused by diffusely scattered radiation and is influenced by the roughness replication. It also corresponds to the occurrence of Kiessig fringes in the low-angle part of the offset scan. Consequently, we conclude that both the substrate and the buffer roughnesses are partially reproduced towards the multilayer surface. The f~-scan (inset in Fig. 3) shows a cut throughout this maximum and confirms the highly diffuse contribution to the total measured reflectivity curve. The diffuse scattering gives more than 60% of the total scattered intensity at the angle of 7980 arcsec at which the f~-scan was taken. Regarding the highly correlated rough- ness, we assume that the measured interface roughness in these multilayers originates at the buffer.

5.3. Thermal treatment of the multilayers

After annealing the sample Coo.35Nio.6s/Au (0.54 nm/1.5 nm) go deposited on glass substrate covered with 10 nm gold buffer at 200°C for 2 h, the multilayer structure was almost destroyed. Only very weak multilayer peaks were observed in the reflectivity curve. For the refinement of the micros- tructure parameters from the reflectivity measurement we used the simplified assumption that the system consists of one single layer with an average refractive index. The cal- culated thickness of the whole multilayer was (48.4 + 0.5) nm and the relative refractive index related to the averaged bulk values was (1.04 _+ 0.05). The substrate roughness was (0.65 _+ 0.08 ) nm and the surface roughness was ( 1.1 _+ 0.1 ) nm. The outcome of the DWBA refinement is shown in Fig. 4.

The result that the multilayer structure is almost completely

destroyed was also confirmed by the measurements carried

out in the HAR. The structure created by the annealing can

probably be described as incoherent islands of Co--Ni com-

posite dissolved in a gold matrix. However, the size of C o -

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66 D. Rafaja et al. /Thin Solid FifthS 292 (1997) 61-68

O0

10 f 103 _~ 102

Bits of

1 o o , , ,

Angle (°2®)

Fig. 4. Reflectivity curve, indicating the destruction of the multilayer struc- ture after annealing. Only fragments of the original multilayer structure can be found. A model describing the system as a single layer with an average refractive index was used for the DWBA refinement. Inset: HAR pattern diffracted by the broken muttilayer structure. The weak peaks indicated by arrows are from the bits of the multilayer structure. The single high peak belongs to the recrystallized gold buffer.

Ni islands cannot be estimated because the potential peak from the Co--Ni composite is totally overlapped by the dif- fraction pattern from bits of the multilayer structure. Thelarge peak in the HAR diffraction pattern (inset in Fig. 4) belongs mainly to the gold buffer. During annealing, the buffer relaxes in a similar way to the case described in Section 5.2. Assum- ing a negligible strain contribution to the physical broaden- ing, the size of coherent domains in the gold buffer was estimated to be about 9 nm.

5.4. Effect of Co-Ni alloy composition

The different stoichiometry of the Co-Ni alloy influences predominantly its interplanar spacing and thus the average interplanar spacing of the multilayer. Fig. 5 compares the diffraction patterns measured on the Coo.7Nio.JAu ( 1,8 nm/

1.5 nm)9 and Coo.35Nio.6JAu (1.8 nm/1.5 nm)lo samples.

The interplanar spacings read from the positions of the dif- fraction lines in the HAR are (0.23124 _+0.00028) nm and (0.23268_+0.00029) nm for the first and second samples, respectively. In addition to the detected line shift, a variation in intensity can be seen in Fig. 5 (b). The insignificant abso- lute difference in intensities is caused mainly by the unequal numbers of bilayers in these systems. The relative change in intensity of neighbouring satellite peaks is given by different continuous interface roughnesses.

In another experiment, we observed completely different behaviours of samples with smaller thicknesses of the Co-Ni composite compared with the thickness of the Au layers. The multilayer structure was well developed in the sample with 70% cobalt, whereas in the samples containing more nickel the multilayer structure was poor. Advanced growth of mul- tilayers with 70% cobalt was also observed in samples with 1.8 nm Co-Ni and 1.5 nm Au, but the difference was not so striking here.

Comparing the results obtained from the reflectivity curve measurements, we can see the highest interface roughness in

Angle (°28) 10 7

10 e 10 5 10 4 10 3 10 2 I01 (a)

&

,e,

, e ,

m

lOO

8 o

'g 40 20

O,

3~2 316 ' 4'0 ' 414 ' 4T8

(b) Angle (°2®)

Fig. 5. Comparison of Co--Ni alloy samples with different compositions: (a) reflectivity curves, and (b) HAR diffraction pattern measurements. Circles:

Coo.7NioJAu (1.8 nm/1.5 nm)9; triangles: Coo.35Nio.6JAu (1.8 nm/1.5 nm) io multilayers, The shift in the line positions in (b) is caused by changes in the average d-spacing,

the Co-Ni alloy samples containing 35% Co. (For Co--Ni layer thicknesses of 0.54 nm, the half width of a Gaussian distribution describing the interface positions is comparable with the Co-Ni layer thickness.) The high interface rough- ness is accompanied by high continuous roughness, following from the HAR diffraction pattern refinement. In addition, the interface roughness is accumulated. In comparison with the Co-Ni alloy samples containing 35% Co, the multilayers containing no cobalt are better developed. Vice versa, if the cobalt contents became dominant, the interface quality increases again. This trend is shown in Figs. 6-8.

5.5. Effect of Co-Ni layer thickness

The quality of the multilayers depends on both the cobalt content and the thickness of the particular layers. In all cases, we observed a minimum interface roughness calculated in the LAR at medium Co-Ni layer thicknesses (Fig. 6). The minimum seems to be at a Co--Ni thickness that is slightly less than the thickness of the gold layer ( 1.5 nm).

Relating the absolute interface roughness O'AB estimated

from the reflectivity curve measurements to the Co--Ni layer

thickness, the roughness decreases steadily with increasing

Co-Ni layer thickness (Fig. 7), The sole continuous interface

roughness behaves in a completely different manner; it

increases with decreasing relative interface roughness

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D. Rafaja et al. /Thin Solid Fihns 292 (1997) 61-68 67 1.2

A 1.1

E 1.0

0.9"

03

= 0.8"

=~ 0.7"

£

0.6-

O

0.5- -= 0.4-"

- ! - - 0% Co - 0 - - 35% Co - J k - 70% Co

0 . 3

015 110 1:5 2:0 215 310

Layer thickness Co-Ni (nm)

Fig. 6. Dependence of the interface roughness on Co-Ni thickness and the Co content.

100-

' - = - 0% CO

=~" 80- - Q - 3 5 % Co

' - J k - 70% Co

03

= 60-

==

£ 40- --~ 20

0 015 110 115 210 2:5 310

Layer thickness Co-Ni (nm)

Fig. 7. Interface roughness related to the layer thickness, shown here as the relative roughness, decreases steadily with increasing Co-Ni layer thickness.

0.045-

=E 0.040.

03

03 0.035- '= .m 0.030.

£ 0.025.

0 Co

o O.020-

,-z

0.015~

r,- O 0.010

0'.5 1'.0 115 210 215 3'.0

Layer thickness Co-Ni (nm)

Fig. 8. Continuous interface roughness increases with increasing Co-Ni layer thickness.

(Fig~ 8). From an inspection of the results shown in Figs. 6-8, we can state the following:

(a) If the thickness of individual Co--Ni layers is substan- tially less than the thickness of the gold layers, the lateral ordering is broken but the changes in periodicity measured in the per0endicular direction are small. Such a structure consists of mutually independent columnar grains. This phe- nomenon is indicated by the high interface roughness (high lateral disorder) and low continuous roughness (high order- ing in the perpendicular direction).

(b) If the thickness of the Co-Ni layers is similar to that of the Au layers, larger coherent domains grow in the lateral

direction, but this process induces an increase in the strain within the crystallites. This is indicated by the lower interface roughness and by the higher continuous roughness.

(c) With increasing thickness of the Co-Ni layers the crystallites cannot accommodate the large strain induced by the Co-Ni layers. The lateral ordering starts to break down again. This can be observed as increases in both the interface and the continuous roughness.

6. Discussion

The majority of multilayers described in this paper exhibit highly correlated roughness. This result follows both from the reflectivity curve refinement and from the shape of the offset scans. The reflectivity curve refinement yielded a zero cumulative roughness in multilayers with highly correlated roughness; this was confirmed by both the high diffracted intensity and the occurrence of Kiessig fringes in the low- angle part of the offset scan taken at A = 300 arcsec. As the correlated roughness is not treated correctly in the model used for the LAR diffraction pattern refinement, some discrepan- cies in the measured and calculated intensities can be observed at the positions of the first-order Bragg maxima.

In some cases, the calculated roughness of the top layer was even lower than that in the buffer or the interface rough- ness. We assume that the quality of interfaces can improve towards the surface. This result was observed if the starting disorder was low and if the Co--Ni layers were not extremely thin. An example is the series of samples containing 70% Co.

The Coo.7Nio.3/Au (0.63 nm/1.5 nm)16 multilayer still shows a slight cumulative roughness and thus no improve- ment in interface quality towards the sample surface. With increasing Co-Ni layer thickness, both Coo.TNio.3/Au (0.9 nm/1.5 nm) az and Coo.7Nio. 3/Au ( 1.8 nm/1.5 nm)9 multi- layers exhibit improvements in the interface quality.

However, not only the Co-Ni layer thickness but also the number of multilayers in system seem to be important for the discussed improvement in interface quality during growth.

Comparing the two last systems, a lower roughness was observed in Coo.7Nio.3/Au (0.9 nm/1.5 nm)ia multilayer.

The thickness of whole system itself probably plays a minor role. A similar tendency was also found in a series of samples containing no cobalt.

The quality of interfaces in multilayers with extremely thin

Co-Ni layers can be improved only if the starting buffer

thickness is small enough. In case of the Coo.7Nio.3/Au (0.54

nm/1.5 nm)i6 multilayer grown on a 10 nm annealed gold

buffer was a correlated roughness observed. The same mul-

tilayer system grown on a 30 nm annealed Au buffer showed

progressive improvements in interface quality. As the inter-

face roughness tends to be highly correlated in most of the

samples investigated here, the flatness of the buffer should

be the most important parameter controlling both the interface

and the surface roughness. This hypothesis was supported by

experiments with thermal treatments of buffer. The annealing

(8)

68 D. Rafaja et aI. / Thin Solid Fihns 292 (1997) 61--68 of 10 nm gold buffer at 200°C for 2 h improved substantially

the quality of individual layers in the multilayer stack. Both materials (especially the Co-Ni) were less strained if the multilayers were deposited on annealed buffers, as follows from the decreasing width of the interplanar spacing distribution.

Concerning the choice of substrate, glass was found to be a better quality buffer layer, even though the calculated sub- strate roughnesses for both silicon and glass were nearly the same. This is probably due to the different interactions between the gold buffer and the silicon and glass substrates.

The choice of substrate material does not influence the evo- lution of the multilayer structure and the continuous interface roughness to a great extent, although it does influence the quality of the buffer layer and thus the stage of the basic discrete roughness. The quality of the buffer can be substan- tially improved by annealing, during which it recrystallizes, and a strongly { 111 } textured columnar structure develops in the gold. Both the annealing temperature and annealing time are important, because the gold could grow in separated columns of different heights. This would induce the primary roughness, which is then replicated through the whole mul- tilayer system.

After annealing the multilayer, the recrystallization and relaxation of the buffer were also observed, and the multilayer structure itself was destroyed in the annealing process. Nev- ertheless, we have to take into account that the structure of the investigated multilayer before annealing was poor, so that the decay of a multilayer may not be a general consequence of annealing.

Another factor that determines the quality of multilayers is the composition of the Co--Ni alloy. The stoichiometry of the Co--Ni composite contributes to the growth of the multi- layer structure, together with the thickness of the respective materials. According to our experiments the multilayers con- taining a dominant amount of cobalt or nickel (70 at% Co or 100 at% Ni) grow with the best developed microstructure if the Ni-Co layers have a medium thickness. The samples with 35 at% Co were found to grow with highly discrete and continuous interface roughnesses that were nearly two times higher than those in the systems with zero and 70 at% Co.

7. Conclusions

In terms of the interface and surface roughness, the quality of multilayers is controlled predominantly by the substrate or the buffer roughness. The majority of multilayers investi- gated here exhibit a strong correlated roughness. The basic roughness induced by the substrate is replicated towards the sample surface.

To smooth the original substrate roughness, it is not suf- ficient to cover the substrate with a gold buffer 10 nm thick,

because the substrate roughness is more or less replicated.

The quality of multilayer is improved if the buffer is annealed before growing the multilayers. In our study, the best results were achieved with a 30 nm thick annealed gold substrate.

If the top of the buffer layer is smooth enough, the interface roughness can further decrease towards the surface. We assume that the roughness is successively absorbed in the highly strained Co--Ni layers. Another possibility to improve the interface roughness is to choose Co-Ni layers of appro- priate thickness. The best results were obtained with Co--Ni layer thicknesses similar to that of the gold layer. However, the continuous interface roughness steadily increases with the Co--Ni layer thickness, but the continuous interface rough- ness contributes only 2-5 % of the overall interface roughness, and the discrete interface roughness the remainder.

If the Co-Ni layers are too thick, the layers grow probably as blocks of different thicknesses, and the layers tend to crystallize. These crystalline layers can not be strained to the same extent as the nearly amorphous ultrathin layers consist- ing of two or three atomic layers.

Acknowledgements

The authors would like to thank the Grant Agency of Charles University for financial support of project no.

GAUK-145/95 and the Grant Agency of the Czech Republic for supporting project no. 203/93/0154. We also acknowl- edge the opportunity to use the BEDE diffractometer with rotating anode given to us by the Institute of Physics at the Czech Academy of Sciences.

The refinement program SUPREX was developed with funds provided by the US Department of Energy and the Belgian Interuniversity Attraction Pole Program.

References

[1] M.N. Baibich, J.M. Broto, A. Fert, F. Nguyen Van Dau, F. Petroff, P.

Etienne, G. Creuzet, A. Friedrich and J, Chazelas, Phys. Rev. Len., 61 (1988) 2472.

[2] R. Krishnan, H. Lassri, M. Porte and M. Tessier, IEEE Trans. Magn., 29 (1993) 3388.

[3] R. Krishnan, H. Lassri, M. N~vlt, V. Prosser, D. Rafaja, V. Valvoda and ~ Vi~fiovsk~, J. Magn. Magn. Mater., 148 (1995) 285.

[4] R. Ku~.el, DIFPATAN Computer Program, Charles University Prague, 1993.

[5] E.E. Fullerton, SUPREX Computer Program, Argonne National Laboratory, 1993.

[6] E.E. Fullerton, I.K. Shuller, H. Vanderstraeten and Y. Bruynseraede, Phys. Rev. B, 45 (1992) 9292.

[7] J.H. Underwood and T.W. Barbee, Appl. Opt., 20 (1981) 3027.

[8] S.K. Sinha, E.B. Sirota, S. Garoff and H.B. Stanley, Phys. Rev. B, 38 (1988) 2297.

[9] V. Hol~, J. Kub~na, I. OhlfdaI, K. Lischka and W. Plotz, Phys. Rev. B, 47 (1993) 15896.

[ 10] Y.H. Phang and D.E. Savage, J. AppL Phys., 74 (1993) 3181.

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