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    Applied Surface Science 370 (2016) 306–311

    Contents lists available at ScienceDirect

    Applied Surface Science

     j ournal homepage : www.elsevier .com/ locate /apsusc

    Protection of brittle film against cracking

     J. Musil ∗, J. Sklenka, R. ˇ Cerstvý

    Department of Physics andNTIS—European Centre of Excellence, University of West Bohemia, Univerzitní 8, 30614 Plzeˇ n, Czech Republic 

    a r t i c l e i n f o

     Article history:

    Received 11 November 2015

    Received in revised form 8 February 2016

    Accepted 13 February 2016

    Available online 16 February 2016

    Keywords:

    Zr Si O film

    Mechanical properties

    Transparency

    Film cracking

    Protective film

    Magnetron sputtering

    a b s t r a c t

    This article reports on the protection of the brittle Zr Si O film against cracking in bending by the highly

    elastic top film (over-layer). In experiments the Zr Si O films with different elemental composition and

    structure were used. Both the brittle and highly elastic films were prepared by magnetron sputtering

    using a dual magnetron. The brittle film easily cracks in bending. Onthe other hand, the highly elastic filmexhibits enhanced resistance to cracking in bending. Main characteristic parameters of  both the brittle

    and highly elastic films are given. Special attention is devoted to the effect of the structure (crystalline,

    amorphous) of both the brittle and highly elastic top film onthe resistance of cracking of the brittle film.

    It was found that (1) both the X-ray amorphous and crystalline brittle films easily crack in bending, (2)

    the highly elastic film can have either X-ray amorphous or crystalline structure and (3) both the X-ray

    amorphous and crystalline, highly elastic top films perfectly protect the brittle films against cracking in

    bending. The structure, mechanical properties and optical transparency of the brittle and highly elastic

    sputtered Zr Si O films are described in detail. At the end of   this article, the principle of  the low-

    temperature formation of the highly elastic films is also explained.

    © 2016 Elsevier B.V. All rights reserved.

    1. Introduction

    It is well known that brittle films very easily crack during bend-

    ingwhen theyare depositedon the flexible substrates. The cracking

    of thebrittle films is their serious drawbackbecause the crackscre-

    ated in the film interrupt its function [1–12]. Therefore, it is vitally

    important to prevent cracking of the brittle films.

    Recently, it was reported that the brittle film can be pro-

    tected against cracking by the elastic top film (protective film)

    with the high hardness H ≈15 to 25GPa, low elastic modulus

    E * =E /(1− 2) which results in a high ratio H /E * ≥0.1, high elastic

    recovery W e≥60% and compressive macrostress ( < 0) [13–16];

    here E  is the Young’s modulus and is the Poisson’s ratio. In the

    experiment described in Ref. [17] it was shown that the amor-

    phous brittle film over-coated by the crystalline elastic film does

    not cracks, i.e. the system of two layers – brittle bottomfilm/elastictop protective film – exhibits an enhanced resistance to cracking.

    However, there is a questionif also thecrystalline brittle filmcanbe

    protected against cracking by an elastic top film and if this elastic

    top film can also have the X-ray amorphous structure. The investi-

    gation of the effect of the structure of both the brittle film and the

    ∗ Corresponding author. Tel.: +420 377632201.

    E-mail address: [email protected] (J. Musil).

    elastic protective film on the resistance of cracking of the brittle

    film is the main subject of this article.This article reports on the two-layer coatings composed of brit-

    tle bottom film and top elastic film with different compositions of 

    crystallographic structure of both films: (a) a-+ c-, (b) c-+ c-, (c)

    a-+a-, and (d) c-+ a-; here a- and c- denotes the film with amor-

    phous andcrystallinestructure, respectively,see Fig. 1. Physicaland

    mechanical properties, and optical transparency of individual films

    (a- brittle, c- brittle, a- elastic and c- elastic) and couples of these

    films (the bottom brittle film + the top elastic film) are reported in

    detail.

    2. Experimental details

    The Zr Si O coatings with different physical and mechanicalproperties were deposited on the Si (10 0) substrate and the Mo

    strip (60×10×0.1mm3) by reactive magnetron sputtering using

    a dual magnetron equipped with Zr/Si targets of 50mm in diam-

    eter composed of a circular Si (10 0) plate (∅ 38mm) fixed to the

    magnetron cathode by Zr fixing ring with inner diameter ∅in. The

    dual magnetron was operated in ac pulsed bipolar mode gener-

    ated by a pulsed power supply DORA MSS-10 with a maximum

    output power 10kW. The repetition frequency  f r   of pulses was

    2 kHz and ac frequency of negative half-sinusoids inside pulses

    was 112kHz. More details on the deposition system are given in

    Ref. [17].

    http://dx.doi.org/10.1016/j.apsusc.2016.02.132

    0169-4332/© 2016 Elsevier B.V. All rightsreserved.

    http://localhost/var/www/apps/conversion/tmp/scratch_5/dx.doi.org/10.1016/j.apsusc.2016.02.132http://www.sciencedirect.com/science/journal/01694332http://www.elsevier.com/locate/apsuscmailto:[email protected]://localhost/var/www/apps/conversion/tmp/scratch_5/dx.doi.org/10.1016/j.apsusc.2016.02.132http://localhost/var/www/apps/conversion/tmp/scratch_5/dx.doi.org/10.1016/j.apsusc.2016.02.132mailto:[email protected]://crossmark.crossref.org/dialog/?doi=10.1016/j.apsusc.2016.02.132&domain=pdfhttp://www.elsevier.com/locate/apsuschttp://www.sciencedirect.com/science/journal/01694332http://localhost/var/www/apps/conversion/tmp/scratch_5/dx.doi.org/10.1016/j.apsusc.2016.02.132

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     J. Musil et al. / Applied Surface Science 370 (2016) 306–311 307

    Fig. 1. Four two-layer coatings composed of brittle bottom film and top elas-

    tic film with different combinations of the structure of bottom and top films.

    (a) crystalline/amorphous couple, (b) crystalline/crystalline couple, (c) amor-

    phous/amorphous coupleand (d) amorphous/crystalline couple.

    The films were sputtered under the following conditions: dis-

    charge current I da =1 A averaged over the pulse period T = 1/ f r ,

    target power density Sd =P d/S≈25 W/cm2, substrate bias U s =U fl,

    the substrate temperature T s =RT  (the unheated substrate) and

    500 ◦C, substrate-to-target distance ds−t =80mm, partial pressure

    of oxygen  pO2  = 0 and 0.15Pa for the brittle films and the elas-

    tic films, respectively, and total pressure  pT  =  pAr + pO2  = 1Pa;

    here S is the whole area of the magnetron target and U fl   is

    the floating potential. At first, single layer coatings were sput-

    tered on the Si (10 0) substrate, glass substrate and the Mo strip(60×10×0.1mm3), their physicaland mechanical propertieswere

    measured and their resistance to cracking was assessed by bend-

    ing of the coated Mo strip around a fixed cylinder. Physical and

    mechanical properties of sputter deposited single layer films and

    their elemental composition are given in Table 1. Then, two-layer

    coatingswith differentcrystallographic structureof the bottom and

    top films (layers) were sputtered. Their physical and mechanical

    properties were also measured and their resistance to cracking was

    also assessed by bending of the coated Mo strip, see Table 2. Both

    films in two-layer coatings were sputtered without an exposure to

    the air simply by changingthe partial pressure of oxygen pO2  in the

    Ar+O2  sputtering gas mixture.

    The structure of sputtered films was characterized by X-ray

    diffraction using an XRD diffractometer PANalytical X’pert PROin Bragg-Brentano configuration with CuK  radiation. The ele-

    mental composition was determined by X-ray Fluorescence (XRF)

    spectroscopy with PANalytical XRF Spectrometer MagiX PRO.

    Mechanical properties of films were determined from load vs.

    displacement curves measured by a microhardness tester Fisch-

    erscope H100 with Vicker’s diamond indenter at a load L=20mN.

    For all sputtered films the ratio d/h of diamond depth impression

    d in the film and the film thickness h was less than 0.1. It indicates

    Fig. 2. X-ray (XRD) diffraction patterns of brittle – amorphous (film 1) and crys-

    t alline ( film 2) and e last ic – amo rphous (fi lm 3) an d crys tall in e ( film 4) Zr S i O

    films with propertiessummarized in Table 1.

    that the measured hardness H of sputtered films is not influenced

    by the substrate [18,19]. The macrostress  and the thickness h of 

    thefilms were measured usinga stylusprofilometerDEKTAK 8. Themacrostress was determined from the thickness h and curvature

    of the films deposited on Si (10 0)strips (35×5×0.64mm3) using

    a Stoney’s formula [20]. The resistance of the film to cracking was

    tested by a bending test. The coating was deposited on a Mo strip

    (80×10×0.1mm3) and the coated Mo strip was bended around a

    fixed cylinder of diameter r up to the occurrence of cracks in the

    coating surface. More details are given in Refs [13–16]. The trans-

    parency of Zr Si O layerswas measured inthe range from 300 to

    800nm using a spectrometer Specord M400.

    3. Results and discussion

     3.1. Mechanical properties and structure of Zr Si O films

    Physical and mechanical properties of single-layer Zr Si O

    films are summarized in Table 1. From this table it is seen that

    (1) the amorphous and crystalline films can be (i) sputtered from

    a composed Zr/Si target, see Fig. 2, and (ii) either brittle (eas-

    ily crack) or highly elastic (resistant to cracking) films can be

    formed, (2) the brittle crystalline and amorphous films exhibit a

    low ratio H /E 

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    308  J. Musil et al. / Applied Surface Science 370 (2016) 306–311

    Fig. 3. Surface morphology of one-layer brittle film (a) the amorphous film (thefilm No. 1) and (b) the crystalline film (the film No. 2) after bending of coated Mo

    strip (the film/Mo strip couple) around cylinder of radius r =10mm. Physical and

    mechanical properties of the film 1 and 2 are given in Table 1.

    (3) the elastic amorphous and crystalline films resistant to cracking

    exhibit a high ratio H /E * ≥0.1 and high elastic recovery W e >60%,

    compressive macrostress ( < 0), high optical transparency in visi-

    ble and IR regions and strongly differ in the content of Zr and Si, (4)

    the elastic amorphous film is soft and contains more Si compared

    withZr (Si/Zr> 1),(5)the elastic crystallinefilm is hard and contains

    more Zrcompared with Si(Si/Zr < 0), (6)thebrittleandelasticamor-

    phous films exhibit a low compressive macrostress ( < 0), (7) the

    brittle crystalline films exhibit tensile macrostress ( >0) and low

    hardnessH ≈14GPa, (8) the elastic crystalline films exhibit a com-

    pressive macrostress ( < 0), relatively high hardness H ≈17GPa

    and almost the same value of the effective Young’s modulus E * as

    the brittle crystalline film. These properties are controlled by the

    elemental composition of films and their deposition rate aD, i .e.by

    the energy delivered to the film during its growth.

    The combination of individual films (layers) in the two-layer

    Zr Si O coating makes itpossible to find the effect of the crystal-

    lographic structure and mechanical properties of the bottom and

    top layer on its resistance to cracking in bending.

     3.2. Resistance of two-layer coatings to cracking in bending 

    At first, the brittle amorphous (the film No. 1) and the brit-

    tle crystalline (the film No. 2) films, i.e. the single-layer Zr Si O

    films, deposited on Mo strip were bended around cylinder of 

    radius r =10mm. Both coatings cracked in bending due to lowratio

    H /E * < 0.1 and low elastic recovery W e < 60%, see Fig. 3 and Table 1.

    Cracks are perpendicular to the direction of bending. On the other

    hand, the elastic amorphous (the film No. 3) and the elastic crys-

    talline (the film No. 4) single-layer films deposited on Mo strip do

    not crack and exhibit no cracks after bending around cylinder of 

    radius r = 10mmdue to highratioH /E * > 0.1 and high elastic recov-

    ery W e >60%.

    Then, both brittle films (the film Nos. 1 and 2) were overlapped

    with the highly elastic top films exhibiting high ratio H /E * ≥0.1,

    highelasticrecoveryW e > 60%and compressive macrostress ( 

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     J. Musil et al. / Applied Surface Science 370 (2016) 306–311 309

    Fig. 5. Four combinations of the indentation curves of the bottom brittle film and the top elastic film which prevent cracking of the bottom brittle film: (a) the film 1+ the

    film 4, (b) the film 2+ the film 4, (c) the film 1+ the film 3 and (d) the film 2+ the film 3. Indentation curvesweremeasured onthe filmssputtered on Si (10 0) substrates.

    5. The bottom brittle film with the lower hardness than that of top

    filmcan be protected against cracking by the harder topfilm. On

    the other hand, the bottom brittle film with the higher hardness

    than that of top film can be protected against cracking by the

    softer top film.

     3.4. Optical transparency

    Very interesting is the optical transparency of individual films.

    Therefore, the Zr Si O films were also sputtered on glass sub-

    strates. The optical transparency was measured in a wide range of 

    wavelengths from250 to 800 nm. Results of these measurements

    are given in Fig. 6. From this figure it is seen that while brittle films

    (the film No. 1 and the film No. 2) are opaque, the elastic films are

    well transparent. The opacity of the brittle films is due to a large

    amount of free Si and Zr atoms in the film. The transparency of 

    the elastic film with higher content of Si is practically the same as

    that of the glass without film and higher than that of the elastic

    film with the higher content of Zr. This difference is due to the fact

    that the Zr Si O film with higher Si content essentially representsan SiO2 film which almost completely eliminates reflections at the

    film/glass substrate interface. This is a big advantage of the elastic

    Zr Si O film withhigh Sicontent. Ontheotherhand,thedisadvan-

    tage of this filmis itslow hardnessH ≈7 GPa. Onthe other hand, the

    elastic Zr Si O film with higher Zr content is the ZrO2  based film

    with lower optical transparency due to reflections at the film/glass

    substrate interface but with a higher hardness H ≈17GPa.

    4. Low-temperature sputtering of flexible nanocomposite

    films

    At present, there is an urgent need to master the forma-

    tion of crystalline or at least nanocrystalline flexible films on

    heat sensitive substrates such as polymer foils, textiles, plastics,

    Fig. 6. Transmittance ofthe brittle Zr Si O films– amorphous (film 1)and crys-

    talline(film2)andtheelasticZr Si O filmswith enhancedresistance tocracking –amorphous(film 3) andcrystalline (film4) sputteredon glasssubstrate as a function

    of wavelength of the electromagnetic wave.

    polycarbonates, etc., without the substrate heating. It is a very

    difficult and vitally important task because the formation of the

    flexible films withenhanced resistance to cracking at low substrate

    temperatures T s≤100 ◦C is of a great potential for many advanced

    applications, namely for the flexible electronics, flat panel displays,

    micro-electromechanical (MEMS) systems, formation of the func-

    tional films on polymer foils and fabrics, etc.

    The formation of the flexible films on unheated substrates is

    possible. It is basedon the replacement of the equilibrium substrate

    heating (T s/T m) by the non-equilibrium atomic scale heating, i.e.

    on the energy E p delivered to the growing film by condensing and

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    310  J. Musil et al. / Applied Surface Science 370 (2016) 306–311

    Fig. 7. Schematic illustration of two dimensional (2D) Thornton’s structural zone

    model (SZM) extended into region of low-pressure sputtering. Adapted after Ref.

    [22].

    bombarding particles; here T m   is the melting temperature of the

    material of the film. The principle of formation of the flexible films

    on unheated substratesis illustrated in Fig.7. This figure represents

    the two dimensional (2D) structural zonemodel (SZM) of sputteredfilms developed by Thornton [21] extended to low sputtering gas

    pressures p≤0.1Pa [22]. The zone T of the SZM represents dense,

    voids-free films in compression ( < 0) with enhancedresistance to

    cracking; here  is the macrostress in the film.

    From Fig. 7 it is clearly seen that just the zone T expands to low

    values of the ratio T s/T m→0 with decreasing argon pressure  pAr.

    This means that the dense, voids-free films with enhanced resis-

    tance to cracking in the zone T of the SZM can be formed without

    the substrate heating by increasing of the energyE p at low sputter-

    ing gas pressures p. The energy E p can be delivered in the growing

    filmeither bythe combinedactionof bombarding ions andfastneu-

    trals (E p = Ebi + Efn) or bythe fast neutrals only (E p = Efn). The energy

    of bombarding ions Ebi is controlled by the substratebiasU s. Onthe

    contrary, the energy of condensing fast neutrals Efn is controlled bythe sputtering gas pressure  pAr  and is increased by decreasing of 

    the sputtering gas pressure pAr. The whole kinetic energy of these

    particlesis transferred to the growing film andstimulatesits densi-

    fication and nano-crystallization. This means that the formation of 

    the flexible, dense, voids-free sputtered films with enhanced resis-

    tance to cracking on unheatedsubstrates basedon the replacement

    of the conventional heating (T s) with the atomic scale heating (E p)

    is possible [22]. There are two key parameters which decide on

    the formation of such films: (1) the energy E p  and (2) the melting

    temperatureT m of created films. More details can be found in Refs.

    [13,14,23–26].

    In summary, it can be concludedthatthe films with dense,voids-

    free microstructure, compressive macrostress ( < 0)and enhanced

    resistance to cracking can be formed in the zone T of the Thorn-ton’s SZM also at low substrate temperaturesT s≤100 ◦C,i.e. atlow

    values of T s/T m  ratio, when sufficient energy E p   is delivered to the

    growing film by bombarding ions and/or when a low sputtering

    gas pressure p is used. Very important role in the low-temperature

    sputtering of the flexible films plays also the melting temperature

    T m  of the film material which (i) decides on the value of T s/T mratio and(ii) canbe controlled by the addition of selected elements

    in the film.

    5. Conclusions

    The investigation reported in this article shows that the brittle

    film can be protected against cracking when it is over-coated with

    the elastic topfilm. It was found that (i)the brittle films exhibit low

    elastic recoveryW e < 60% and low ratio H /E * ≤0.1 and can be either

    X-ray amorphous or crystalline, (ii)the elastic top filmsexhibithigh

    elastic recovery W e ≥60% and high ratio H /E * ≥0.1 and also can be

    either X-ray amorphous or crystalline, and (iii) the cracking of the

    brittle filmcan be preventedwhen it is over-coated with the elastic

    top film. Thelast finding is of keyimportance notonly for the deep-

    ening of the present knowledge in the field of two-layer coatings

    but also for many applications. Many functional coatings are brittle

    and easily crack when they are (i) deposited on the flexible sub-strates or (ii) bended and thus their function can be interrupted.

    Therefore, the overlapping of the brittle film by the elastic top film

    (over-layer) is a very efficient tool which ensures the reliable func-

    tion of the brittle film even in the case when it is deposited on

    the flexible substrate. These conclusions are applicable also to the

    films on plastic substrates and the thick multilayer coatings with

    alternating brittle/elastic bi-layers.

     Acknowledgement

    This work was supported by the project LO1506 of the Czech

    Ministry of Education, Youth and Sports.

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