8
Ó Krystalografická spoleènost 60 Struktura 2013 - Lectures Materials Structure, vol. 20, no. 2 (2013) well as scientific examples taking advantage of this unique instrumentation. ChemMatCARS Sector 15 is principally supported by the National Science Foundation/Department of Energy under grant number NSF/CHE-0822838. Use of the Advanced Photon Source was supported by the U. S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357. 1. Ilavsky, J., Jemian, P.R., Allen, A.J., Zhang, F., Levine, L.E. and Long, G.G. Journal of Applied Crystallography, 42, 2009, 469-479. 2. Ilavsky, J., Zhang, F., Allen, A.J., Levine, L.E. Jemian, P.R., and Long, G.G. Metallurgical and Materials Transac- tions A, Metallurgical and Materials Transactions A, 44, 2013,68-76. Session II, Tuesday, September 10 L4 GISAXS – THEORY, EXPERIMENTAL REALIZATION AND SOME RESULTS V. Holý Department of Condensed Matter Physics, Faculty of Mathematics and Physics, Charles University in Prague, Ke Karlovu 5, 121 16 Praha, Czech Republic [email protected] In the last decades, various types of nanostructures have been intensively studied by physical, chemical and biologi- cal methods. Since the properties of nanostructures are sub- stantially influenced by their structure, structural research of nanostructures is extremely important for the under- standing of their performance. Under the structure of the nanoobjects we understand not only the atomic arrange- ment (the crystal structure in the case of crystalline ob- jects), but more importantly the shapes, sizes and arrangement of individual nano-objects. Methods based on scattering (X-ray-, electron- or neutron scattering) consist in mapping of a part of reciprocal space, the size of which depends on the size of the nanoobjects. Small-angle X-ray scattering (SAXS) usually probes the reciprocal space up to distances of few reciprocal nm, i.e. the method can study particles of sizes from several nm up to approx. one mi- crometer. For nanoobjects dispersed on a surface or in a thin layer or multilayer, small-angle scattering method is usually performed in grazing incidence geometry (graz- ing-incidence small-angle x-ray scattering – GISAXS), in which specular scattering from the surface or from the in- terfaces in the host layer system plays important role. The theoretical part of the talk will summarize the basic theoretical approaches describing the scattering process (kinematical approximation, distorted-wave Born approxi- mation – DWBA), as well as several theoretical approaches describing self-organized systems on nanoparticles. Sev- eral software packages of GISAXS simulations available mostly free of charge will be introduced as well. The theory of GISAXS can be found in [1, 2]. In the second part of the talk the attention will be paid to several experimental realizations of a GISAXS measure- ment, including laboratory and synchrotron set-ups. The third part of the talk will focus to several experimental ex- amples including mainly semiconductor quantum dots in epitaxial layered systems (Ge/Si, InAs/GaAs, PbSe/ PbEuTe) and semiconductor and metallic nanocrystals in amorphous matrix (Ge/SiO 2 , Ge/Al 2 O 3 , Co/SiO 2 , among others). 1. U., Pietsch, V. Holý and T. Baumbach T., High-Resolution X-Ray Scattering From Thin Films to Lateral Nanostructures, Advanced Texts in Physics, Springer-Verlag Berlin, Heidelberg, New York 2004. 2. G. Renaud, R. Lazzari and F. Leroy, Surface Science Reports 64, 255-380 (2009).

V. Holý · PbEuTe) and semi con duc tor and me tallic nanocrystals in am or phous m a tr ix (Ge/ SiO 2, Ge/Al 2 O 3, Co/SiO 2, among oth er s). 1. U., Pietsch, V. Holý and T. Baumbach

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Page 1: V. Holý · PbEuTe) and semi con duc tor and me tallic nanocrystals in am or phous m a tr ix (Ge/ SiO 2, Ge/Al 2 O 3, Co/SiO 2, among oth er s). 1. U., Pietsch, V. Holý and T. Baumbach

Ó Krystalografická spoleènost

60 Struktura 2013 - Lec tures Ma te ri als Struc ture, vol. 20, no. 2 (2013)

well as sci en tific ex am ples tak ing ad van tage of this uniquein stru men ta tion.

ChemMatCARS Sec tor 15 is prin ci pally sup ported by theNa tional Sci ence Foun da tion/De part ment of En ergy un der grant num ber NSF/CHE-0822838. Use of the Ad vancedPho ton Source was sup ported by the U. S. De part ment ofEn ergy, Of fice of Sci ence, Of fice of Ba sic En ergy Sci ences,un der Con tract No. DE-AC02-06CH11357.

1. Ilavsky, J., Jemian, P.R., Allen, A.J., Zhang, F., Le vine,L.E. and Long, G.G. Jour nal of Ap plied Crys tal log ra phy,42, 2009, 469-479.

2. Ilavsky, J., Zhang, F., Allen, A.J., Le vine, L.E. Jemian,P.R., and Long, G.G. Met al lur gi cal and Ma te ri als Trans ac -tions A, Met al lur gi cal and Ma te ri als Trans ac tions A, 44,2013,68-76.

Ses sion II, Tuesday, September 10

L4

GISAXS – THEORY, EXPERIMENTAL REALIZATION AND SOME RESULTS

V. Holý

De part ment of Con densed Mat ter Phys ics, Fac ulty of Math e mat ics and Phys ics, Charles Uni ver sity inPrague, Ke Karlovu 5, 121 16 Praha, Czech Re pub lic

[email protected]

In the last de cades, var i ous types of nanostructures havebeen in ten sively stud ied by phys i cal, chem i cal and bi o log i -cal meth ods. Since the prop er ties of nanostructures are sub -stan tially in flu enced by their struc ture, struc tural re searchof nanostructures is ex tremely im por tant for the un der -stand ing of their per for mance. Un der the struc ture of thenanoobjects we un der stand not only the atomic ar range -ment (the crys tal struc ture in the case of crys tal line ob -jects), but more im por tantly the shapes, sizes andar range ment of in di vid ual nano-ob jects. Meth ods based on scat ter ing (X-ray-, elec tron- or neu tron scat ter ing) con sistin map ping of a part of re cip ro cal space, the size of whichde pends on the size of the nanoobjects. Small-an gle X-rayscat ter ing (SAXS) usu ally probes the re cip ro cal space upto dis tances of few re cip ro cal nm, i.e. the method can studypar ti cles of sizes from sev eral nm up to approx. one mi -crom e ter. For nanoobjects dis persed on a sur face or in athin layer or multilayer, small-an gle scat ter ing method isusu ally per formed in graz ing in ci dence ge om e try (graz -ing-in ci dence small-an gle x-ray scat ter ing – GISAXS), inwhich spec u lar scat ter ing from the sur face or from the in -ter faces in the host layer sys tem plays im por tant role.

The the o ret i cal part of the talk will sum ma rize the ba sicthe o ret i cal ap proaches de scrib ing the scat ter ing pro cess

(kinematical ap prox i ma tion, dis torted-wave Born ap prox i -ma tion – DWBA), as well as sev eral the o ret i cal ap proaches de scrib ing self-or ga nized sys tems on nanoparticles. Sev -eral soft ware pack ages of GISAXS sim u la tions avail ablemostly free of charge will be in tro duced as well. The the ory of GISAXS can be found in [1, 2].

In the sec ond part of the talk the at ten tion will be paid to sev eral ex per i men tal re al iza tions of a GISAXS mea sure -ment, in clud ing lab o ra tory and syn chro tron set-ups. Thethird part of the talk will fo cus to sev eral ex per i men tal ex -am ples in clud ing mainly semi con duc tor quan tum dots inepitaxial lay ered sys tems (Ge/Si, InAs/GaAs, PbSe/PbEuTe) and semi con duc tor and me tal lic nanocrystals inamor phous ma trix (Ge/SiO2, Ge/Al2O3, Co/SiO2, amongoth ers).

1. U., Pietsch, V. Holý and T. Baumbach T., High-Res o lu tionX-Ray Scat ter ing From Thin Films to Lat eralNanostructures, Ad vanced Texts in Phys ics,Springer-Verlag Berlin, Hei del berg, New York 2004.

2. G. Renaud, R. Lazzari and F. Leroy, Surface ScienceReports 64, 255-380 (2009).

Page 2: V. Holý · PbEuTe) and semi con duc tor and me tallic nanocrystals in am or phous m a tr ix (Ge/ SiO 2, Ge/Al 2 O 3, Co/SiO 2, among oth er s). 1. U., Pietsch, V. Holý and T. Baumbach

L5

GRAZING INCIDENCE X-RAY DIFFRACTION: STUDY OF DEPTH DISTRIBUTION OFCHEMICAL PHASE CONCENTRATION

E. Dobroèka1, P. Novák2, M. Vallo1, T. Lalinský1

1In sti tute of Elec tri cal En gi neer ing, Slo vak Acad emy of Sci ences, Dúbravská cesta 9, 841 04 Bratislava, Slovakia

2In sti tute of Nu clear and Phys i cal En gi neer ing, Fac ulty of Elec tri cal En gi neer ing and In for ma tion Tech nol ogy, Slo vak Uni ver sity of Tech nol ogy, Ilkovièova 3, 812 19 Bratislava, Slovakia

[email protected]

Graz ing in ci dence ge om e try is es pe cially use ful in X-raydif frac tion anal y sis of thin films. The pen e tra tion depth ofra di a tion can be eas ily changed by an ap pro pri ate se lec tion

of the an gle of in ci dence a that en ables ob tain ing in for ma -tion from dif fer ent depths of the sam ple. Ap proach ing the

crit i cal an gle ac for to tal ex ter nal re flec tion this depth canbe de creased even to a nanometer scale. The method there -fore pro vides an ef fi cient tool for the anal y sis of depth dis -tri bu tion of var i ous struc tural prop er ties, such as thecrys tal lite size, the amor phous frac tion, stress or the con -cen tra tion of chem i cal phase. While for most of these prop -er ties the ab sorp tion of the ra di a tion can be char ac ter ized

by an av er age at ten u a tion co ef fi cient m, spe cial care has tobe paid to the last prop erty. Vari a tion of chem i cal phasecon cen tra tion with depth usu ally re sults in depth de pend -ence of the den sity and hence the at ten u a tion co ef fi cient. In the pre sented con tri bu tion a method for de ter mi na tion ofdepth dis tri bu tion of a chem i cal phase is out lined. Themethod cor rectly takes into ac count the depth vari a tion ofthe at ten u a tion co ef fi cient. The pro posed method is ver i -fied on thin ox i dized irid ium lay ers. Three sim ple modelcases are dis cussed and com pared with the ex per i men tal re -sults.

In the vi cin ity of crit i cal an gle the in ten sity of X-rayspen e trat ing the ho mo ge neous sam ple is ex po nen tiallydamped ac cord ing to relations [1]

I I xKB= -0 2exp( ) (1)

[ ]B = - + - -1

22 4 22 2 2 2( ) ( )a d b a d (2)

where I0 is the in ten sity of the in ci dent beam, x is the depth

co or di nate, K = 2p/l is the mag ni tude of the wave vec tor, d

and b are re lated to re frac tive in dex n = 1 - d - ib and de -

pend on the elec tron den sity re and the at ten u a tion co ef fi -

cient m. When the com po si tion of the layer changes with

depth, the pa ram e ters re, m, d, b, and B be come a func tionof x and the in ten sity at the depth x is given as

I x a I K B t dtin

x

hom ( , ) exp( ( ) )= - ò0 02 (3)

In the sim plest case the layer con tains only two crys tal -line phases with the weight frac tions w1 and w2, they are

not nec es sar ily com ple men tary, i.e. w1 + w2 ¹ 1. If thethick ness T of the an a lyzed layer is in the range of

nanometers, one can ne glect the ab sorp tion of the in ten sityof the dif fracted beam and the to tal amount A j

tot ( )a of the

j–th phase (j = 1, 2) de tected by mea sur ing at the an gle a ispro por tional to the in te gral

A SC w x K B t dt dxjtot

j

xT

( ) ( )exp( ( ) )a = - òò 200

(4)

The in ten sity of the in ci dent beam I0 is in cluded in thescal ing fac tor SC. It should be pointed out that the weightfrac tions wj(x) ap pear also in B(x) through the weighted

val ues of the pa ram e ters d(x) and b(x) ac cord ing to thecom po si tion of the layer at the depth x.

The to tal weight frac tions W1(a) and W2(a) of bothphases are given sim ply as

WA

A A

tot

tot tot11

1 2

( )( )

( ) ( ),a

a

a a=

+

WA

A A

tot

tot tot22

1 2

( )( )

( ) ( ),a

a

a a=

+ (5)

The val ues W1(a) and W2(a) can be di rectly com paredwith the re sults ob tained ex per i men tally by mea sure ment

at var i ous an gles a and the pro files w1(x) and w2(x) can bede ter mined by nu mer i cal pro ce dure based on an ap pro pri -ate model.

In or der to ver ify the ca pa bil ity of the out lined ap -proach very thin irid ium lay ers de pos ited on sap -phire/GaN/AlGaN sys tem and sub se quently an nealed inox i diz ing at mo sphere at 500 °C were an a lyzed by X-raydif frac tion. The thick ness of the sam ples was de ter minedby X-ray re flec tivity mea sure ment [2]. All mea sure mentswere per formed in par al lel beam ge om e try with par a bolicGoebel mir ror in the pri mary beam. The X-ray dif frac tionpat terns were re corded in graz ing in ci dence set-up with the

an gle of in ci dence a = 0.3°, 0.4°, 0.5°, 0.6° and 1.5°. Twocrys tal line phases – Ir (PDF No. 03-65-1686) and IrO2

(PDF No. 00-15-0870) were iden ti fied. Quan ti ta tive anal y -sis of the mea sure ments was per formed by soft wareTOPAS 3.0. The re sults are shown in the Fig ure 2 (blacksquares).

The ex per i men tal re sults were an a lyzed within theframe work of three model struc tures of the ox i dized Irlayer [3]. In the first model the weight frac tion of IrO2 de -creases grad u ally from the high est value wIrO 2

0 1( ) = at the sur face. The depth pro file of w xIrO 2

( ) cor re sponds to com -ple men tary er ror func tion erfc(x/L) ac cord ing to the ex -

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Ma te ri als Struc ture, vol. 20, no. 2 (2013) 61

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Ó Krystalografická spoleènost

62 Struktura 2013 - Lec tures Ma te ri als Struc ture, vol. 20, no. 2 (2013)

pected ox y gen dif fu sion from the sur face. The weightfrac tion of irid ium is w wIr IrO= -1

2. The model has one free

pa ram e ter – the dif fu sion length L. The sec ond model con -sists of two sublayers Ir (bot tom) and IrO2(top) sep a ratedby an abrupt in ter face. The free pa ram e ter is the depth t ofthe in ter face. In the third model the Ir and IrO2 lay ers aresep a rated by an amor phous IrO2 interlayer. The model hastwo free pa ram e ters – the depths t1 and t2 of the two in ter -faces.

The ef fect of the depth dis tri bu tion of the phases on thein ten sity damp ing is shown in Fig ure 1. The curves are cal -cu lated for the mix ture of Ir and IrO2 ac cord ing to the firstmodel. De tailed anal y sis [3] showed that the first and thesec ond model are not able to ex plain the large dif fer encebe tween the val ues of WIrO 2

– 0.78 and 0.27 mea sured at a

= 0.3° and 1.5°, re spec tively. The third model was there -fore ac cepted as the most ap pro pri ate. The pa ram e ters t1

and t2 were op ti mized by least square method. The best fitwas achieved for the val ues t1 = 1.05 nm and t2 = 3.22 nm.The re sult ing de pend ence WIrO 2

( )a is shown in Fig ure 2(red curve).

1. M. Birkholz: Thin film anal y sis by X-ray scat ter ing.Weinheim: Wiley-vch. 2006.

2. M. Vallo, T. Lalinský, E. Dobroèka, G. Vanko, A. Vincze,I. Rýger, Appl. Surf. Sci., 267, (2013), 159.

3. P. Novák, Urèenie håbkového profilu fázového zloženiatenkých vrstiev pomocou rtg difrakcie pri malom uhledopadu, Di ploma the sis, FEI STU, Bratislava, (2012).

Fig ure 1. Nor mal ized in ten sity as a func tion of depth x cal cu lated for var i ous dif fu sion lengths L (in nm). The black and grey curvescor re spond to pure Ir and IrO2, re spec tively The an gle of in ci -

dence a = 0.5°.

Fig ure 2. Ex per i men tal (black squares) and cal cu lated val ues(red curve) of the to tal weight frac tion WIrO2

of IrO2 phase as a

func tion of an gle of in ci dence a.

Page 4: V. Holý · PbEuTe) and semi con duc tor and me tallic nanocrystals in am or phous m a tr ix (Ge/ SiO 2, Ge/Al 2 O 3, Co/SiO 2, among oth er s). 1. U., Pietsch, V. Holý and T. Baumbach

L6

GISAXS APPLICATION TO A STUDY OF THE NANOPARTICLE SELF-ASSEMBLY ATTHE AIR-WATER INTERFACE

M. Jergel1, P. Šiffaloviè1, K. Vegso1, M. Benkovièová1, E. Majková1, K. Nygard2,O. Konovalov3

1In sti tute of Phys ics SAS, Dúbravská cesta 9, 845 11 Bratislava, Slovakia2Dept. Chem is try & Mol. Bi ol ogy, Uni ver sity Göteborg, 412 96 Göteborg, Swe den

3Eu ro pean Syn chro tron Ra di a tion Fa cil ity, BP 220, 38043 Grenoble, [email protected]

Key words: na no par ticles, GISAXS, Lang muir film

Abs tract

An in-situ study of the col loi dal sil ver nanoparticle self-as -sem bly into a close-packed monolayer at the air/wa ter in -ter face fol lowed by a 2D to 3D tran si tion was per formed by a fast track ing GISAXS tech nique in a Langmuir-Blodgetttrough. Mon i tor ing the im me di ate re sponse of the sys temto the bar rier move ment en abled us to iden tify all rel e vantself-as sem bly stages in clud ing those far from the equi lib -rium. A new non-equi lib rium phase be fore the monolayercol lapse was found that is in ac ces si ble by the com pet ingdi rect space im ag ing tech niques such as the scan ning andtrans mis sion elec tron microscopies.

In tro ducti on

Self-as sem bled ar rays of chem i cally syn the sized mono -disperse nanoparticles are at trac tive for many novel andemerg ing ap pli ca tions. For ex am ple, the nanoparticle tem -plates of plasmonic gold or sil ver nanoparticles pro vide akey to en hanced power con ver sion ef fi ciency of fu ture so -lar cells or may serve as unique sub strates for the sur faceen hanced Raman scat ter ing spec tros copy. The self-as sem -bly takes place on the wa ter sur face in the Langmuir-Blodgett (LB) trough where a nanoparticle Langmuir filmis formed and sub se quently trans ferred onto a solid sub -strate. Mac ro scopic phys i cal quan ti ties such as the sur facepres sure, re frac tive in dex or sur face po ten tial of thenanoparticle Langmuir film are readily measureable whilethe con ven tional di rect space im ag ing meth ods such as thescan ning and trans mis sion elec tron mi cros copy ornanoscale scan ning probe tech niques are in ap pli ca ble atthe air/wa ter in ter faces due to the high vapour pres sure andsur face ten sion of the wa ter subphase. Here, the re cip ro calspace tech niques based on the scat ter ing of X-rays or neu -trons, in par tic u lar the syn chro tron based graz ing-in ci -dence small-an gle X-ray scat ter ing (GISAXS), prove to beunique in re veal ing the atomic or mo lec u lar struc ture de -tails at the air/wa ter in ter face. We re port here on the prin ci -pal stages of a plasmonic nanoparticle Langmuir filmcom pres sion at the air/wa ter in ter face fol lowed by a pres -sure re lease. The im me di ate film re sponse to the sur facepres sure evo lu tion is mon i tored in situ by a fast track ingGISAXS tech nique in or der to de tect tran sient phe nom enafar from the equi lib rium. The struc ture evo lu tion atnanoscale is re lated to the mac ro scopic be hav iour mon i -

tored by the sur face pres sure, Brewster mi cros copy andim ag ing ellipsometry.

Ex pe ri men tal de tails

We stud ied Langmuir film com posed of spher i cal Agnanoparticles capped with oleic acid and oleylaminesurfactant. The chem i cal syn the sis was pub lished else -where [1]. The surfactant pre vents the nanoparticles fromag glom er a tion. The di am e ter of the Ag nanoparticle core of 7 ± 0.7 nm was de ter mined by SAXS. The Ag nanoparticleso lu tion in chlo ro form of 0.2 mg/ml con cen tra tion wasspread on the deionised wa ter subphase (spe cific elec tri cal

re sis tance >18 MW.cm) in a cus tom de signed LB trough.Af ter spread ing the nanoparticles, the sol vent was let toevap o rate for 15 min utes be fore the mea sure ment started.The in situ GISAXS mea sure ments at the air/wa ter in ter -face dur ing the bar rier move ment in the LB trough wereper formed at ID10B beamline at ERSF, Grenoble. The

X-ray beam of the 300 ́ 100 mm2 size and 8 keV en ergy hitthe air/wa ter interface at 0.35º graz ing an gle. A fast 2DX-ray de tec tor PILATUS 300K was used. The re cip ro calspace cal i bra tion was done by the sil ver behenate stan dard.The Brewster an gle mi cros copy and null ellipsometry im -ages were ob tained by an op ti cal mi cro scope with dig i talout put (Hitachi) and im ag ing ellipsometer (Accurion), re -spec tively.

Re sults and dis cus si on

To track in situ the evo lu tion of the nanoparticle or der as afunc tion of the sur face pres sure in the Langmuir troughdur ing the com pres sion and ex pan sion at a con stant bar rierspeed of 26 cm2/min, a con tin u ous se ries of the GISAXSframes was re corded as a movie. The time be tween the twosuc ces sive frames of 1.87 s was short enough not to missany re lax ation ef fect, hence, the im me di ate re sponse wasmon i tored. The Fig. 1 shows the GISAXS pat terns of thenanoparticle Langmuir film be fore and af ter the com pres -sion. They con sist of the nanoparticle in ter fer ence func tionmod u lated by the nanoparticle form fac tor. The qz and qy

are the nor mal and lat eral (in-plane) scat ter ing vec tor com -po nents with re spect to the air/wa ter in ter face. The 1st or der Bragg rods sug gest pres ence of an or dered nanoparticlemonolayer while the null ellipsometry im age (Fig. 2)shows that it is dis con tin u ous at small sur face pres sure.Con sid er ing the hex ag on ally or dered close-packed spher i -cal nanoparticles, the lat tice spac ing be fore com pres sionreads d q y10 2= p / max which for the first Bragg rod max i -

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64 Struktura 2013 - Lec tures Ma te ri als Struc ture, vol. 20, no. 2 (2013)

mum po si tion q ymax = 0.75 nm-1 gives the near est-neigh bour

interparticle dis tance D = 2 310d / =9.7 nm. As sum ing the

mean nanoparticle core di am e ter of 7 nm from SAXS, thisgives some 1.4 nm for the surfactant shell thick ness. Thecom pres sion re sults in an in ten sity re dis tri bu tion along qy

of the cen tral and 1st Bragg rods (Fig. 1). On the for mer, themax i mum in ten sity shifts from the crit i cal exit an gle(Yoneda peak) to peak P1 (hid den by the spec u lar beamstop) af ter com pres sion which in di cates the nanoparticlelay er ing. On the lat ter, peak P2 evolves at the po si tion thatsug gests for ma tion of a ver ti cally cor re lated sec ond layer[2]. In par tic u lar, the AB stack ing (hex ag o nal close-packed bilayer) is man i fested by the dif frac tion peaks P1(qy, qz)

and P2(qy, qz) lo cated at (0, 2p/dz) and (2p/d10, p/dz), re -spec tively, where the ver ti cal lat tice spac ing dz is given as

d z = 6 3D / . Con sid er ing the in-plane interparticle dis -

tance D = 9.7 nm, the cal cu lated P2 peak po si tion matchesper fectly that one ob served in the GISAXS pat tern.

Based on the si mul ta neously mea sured pres sure – areaiso therm and GISAXS frames, we can iden tify four prin ci -pal stages of the nanoparticle Langmuir film com pres sion.

In stage I, no measureable change in the sur face pres sure Pis de tected (Fig. 3a). We ob serve self-as sem bly ofnanoparticles ev i denced by the pres ence of Bragg rods inGISAXS (Fig. 1) which hap pens pre sum ably within iso -lated self-as sem bled nanoparticle is lands as the nullellipsometry shows (Fig. 2). The nanoparticle is lands co -alesce grad u ally into larger as sem blies dur ing the com pres -sion as in di cated also by the Brewster mi cros copy (not

shown). The sur face elas tic modulus E cal cu lated from P

Fig ure 1. The GISAXS pat terns of the nanoparticle Langmuir film at the sur face pres sure 0 mN/m (left) and 28.4 mN/m (right). Thepeaks P1 and P2 are as so ci ated with the AB stacked bilayer (see the text). The dead area be tween the de tec tion mod ules of PILATUS300K de tec tor is hatched.

Fig ure 2. The null ellipsometry im ages of the nanoparticle Langmuir film be fore the com pres sion (left) and af ter the ex pan sion (right).The null im ag ing elipsometer was con fig ured to stop the po lar ized light re flected from the nanoparticle monolayer.

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de riv a tive (Fig. 3a) has no phys i cal mean ing for the freelyfloat ing iso lated is lands here. The re duc tion of the Braggrod width (Fig. 3c) is not ob served be cause of a re strictedsize of the co her ently scat ter ing do mains in the pris tine is -lands con trolled by the nanoparticle cu mu la tive dis or der.In stage II, we ob serve a steady in crease in the sur face pres -sure and elas tic modulus (Fig. 3a) as the pro ceed ing is landco ales cence gets grad u ally the larger as sem blies into con -tact. This ac cu mu lates stress at the as sem bly bound ariesthat is re lieved by the nanoparticle re-ar range ments into acon tin u ous close-packed monolayer. A nearly un changedBragg rod max i mum po si tion and width (Fig. 3b,c) sug gest that the lo cal hex ag o nal or der from the orig i nal is lands ispre served. The nanoparticle Langmuir film at the end ofstage II is com pletely closed, be ing suit able for the trans feronto a solid sub strate to de posit a high-qual ity nanoparticlemonolayer. In stage III, we ob serve a steeper in crease in the sur face pres sure fol lowed by a max i mum in the sur faceelas tic modulus which pre cedes a bilayer for ma tion [3]. Ashift in the Bragg rod max i mum po si tion to the higher qy

val ues sug gests a de crease in the lat tice spac ing d10 by ap -prox i mately 0.1 nm (Fig. 3b) while a si mul ta neous in crease in the Bragg rod width (Fig. 3c) in di cates a de te ri o ra tion ofthe nanoparticle or der due to the ac cu mu lated stress. Such a Bragg rod be hav iour can be ex plained by a slight com pres -sive de for ma tion of the poly mer surfactant cap ping thenanoparticles. This non-equi lib rium com pres sion phasehas never been ob served in the ex per i ments un dersteady-state con di tions. In stage IV, the peak P2 in di cates a

newly formed ver ti cally cor re lated sec ond nanoparticlelayer al low ing stress re lief which re sults in the re versedshift of the Bragg rod max i mum po si tion and in crease inthe d10 lat tice spac ing. The Bragg rod width in creases aswell sug gest ing grow ing dis or der. Such a si mul ta neousgrowth of the lat tice spac ing and dis or der is typ i cal for theparacrystal model [4]. In the limit of a highly dis or derparacrystal, the Bragg rod max i mum po si tion is con trolled

by the interparticle dis tance D in stead the lat tice spac ingd10, i.e. q y

max /= 2p D in stead q dymax /= 2 10p . The q y

max atthe end of stage IV is in be tween that sug gests a par tialparacrystalline dis or der. The Bragg rod max i mum po si tionand width are not re cov ered dur ing the film ex pan sion sug -gest ing a sta ble nanoparticle or der in the bilayer. The dropin the P2 peak area may be ex plained by de creas ing amount of nanoparticles in the probed X-ray vol ume dur ing thefilm ex pan sion when the bilayer is lands are formed and goaway from each other, leav ing free subphase sur face be -hind (see also Fig. 2).

Conclu si ons

We iden ti fied prin ci pal stages of the Ag nanoparticleLangmuir film for ma tion us ing the fast in-situ GISAXStech nique sup ported by Brewster an gle mi cros copy andim ag ing ellipsometry. The nanoparticle monolayer for ma -tion takes place via co ales cence of free self-as sem blednanoparticle is lands with the hex ag o nal close-packed or der that per sists in the co alesced as sem blies up to a tem po rarysqueez ing of the lat tice shortly be fore the monolayer. Thistran sient phase has not been ob served un der steady-statecon di tions. The monolayer col lapse takes place by flip ping up the nanoparticles and the sec ond layer for ma tion withthe AB-like crys tal lo graphic stack ing and en hancedparacrystalline-like dis or der. The Langmuir film ex pan -sion runs ir re vers ibly by de com po si tion into bilayer is lands with out ob serv able changes in the nanoparticle or der in -side, leav ing free subphase sur face be hind.

Re fe ren ces

1. K. Vegso, P. Šiffaloviè, M. Weis, M. Jergel, M.Benkovièová, E. Majková, L. Chitu, Y. Halahovets, Š.Luby, I. Capek & A. Šatka, Phys. Stat. Sol., A 208, (2011), 2629-2634.

2. M. Fukuto; R. K. Heilmann, P. S. Pershan, A. Badia & R.B. Lennox, J. Chem. Phys., 120, (2004), 3446-3459.

3. S. Kubowicz, M. A. Hartmann, J. Daillant, M. K. Sanyal,V. V. Agrawal, C. Blot, O. Konovalov & H. Mo¨hwald,Langmuir, 25. (2008), 952-958.

4. R. Lazzari, R., in X-ray and Neu tron Re flec tivity, ed ited byJ. Daillant & A. Gibaud (Berlin-Hei del berg: Springer),2009, pp 283-342.

Acknowled ge ment

This work was done dur ing im ple men ta tion of the pro jectRe search and De vel op ment Cen tre for Ad vanced X-rayTech nol o gies, ITMS code 26220220170, sup ported by theRe search and De vel op ment Op er a tional Programmefunded by the ERDF.

Fig ure 3. The ma jor com pres sion stages of the nanoparticleLangmuir film. The ar rows show the com pres sion and ex pan sionpe ri ods. For a closer ex pla na tion see the text.

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66 Struktura 2013 - Lec tures Ma te ri als Struc ture, vol. 20, no. 2 (2013)

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GROWTH AND STRUCTURE OF THIN FILMS OF ORGANIC SEMICONDUCTORS: A REAL-TIME IN SITU GISAXS STUDY

C. Frank1, J. Novák1, R. Banerjee1, A. Gerlach1, F. Schreiber1, A. Vorobiev2,J. Banerjee3, and S. Kowarik3

1Institut für Angewandte Physik, Eberhard Karls Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Ger many

2Eu ro pean Syn chro tron Ra di a tion Fa cil ity, 6 Rue Jules Horowitz, BP 220, 38043 Grenoble Cedex 9, France3Institut für Physikalische und Theoretische Chemie, Universität Tübingen,

Auf der Morgenstelle 18, 72076 Tübingen, Ger many4Institut für Physik, Humboldt Uni ver sity of Berlin, Newtonstr. 15, 12489 Berlin, Ger many

[email protected]

Re cently, or ganic semi con duc tors (OSC) have at tractedsig nif i cant at ten tion due to their ap pli ca bil ity in elec tronicand op ti cal de vices [1]. The phys i cal prop er ties (e.g. op ti -cal ab sorp tion and con duc tiv ity) of OSC can be eas ilytuned by chang ing chem i cal groups or by flu o ri na tion. Ad -di tion ally, low growth tem per a ture of OSC thin films andtheir syn the sis via chem i cal route re sults in low pro duc -tion-costs. The me chan i cal flex i bil ity of OSC is an otherad van tage in com par i son to in or ganic semi con duc tors.

Due to their non-triv ial shape and mo lec u lar in ter ac -tions, OSC dem on strate com plex growth be hav iour dur ingthin film growth. This can in clude, e.g., rapid rough en ingand thick ness de pend ent lat tice pa ram e ters and lat eralgrain size [2, 3]. Since some of these ef fects may be tran -sient, real-time in situ ex per i ments dur ing the film growthare nec es sary to un der stand these phe nom ena.

We pres ent a com bined graz ing in ci dence small an gleX-ray scat ter ing (GISAXS) and X-ray spec u lar re flec tivity(XRR) real-time in situ study on growth of or ganic thinfilms of rod-like or ganic semi con duc tor mol e culediindenoperylene (DIP, C32H16). The thin films weregrown in a por ta ble ul tra-high vac uum cham ber [4] al low -ing con trol of the sub strate tem per a ture and the growthrate, which were var ied in ranges 25 – 100 oC and 0.1 – 1.1nm/min, re spec tively. Syn chro tron real-time mea sure -ments were per formed at the ID10B beam-line of the ESRF (Grenoble, France) at a wave length of 0.929 C and an in ci -

dence an gle of ai = 0.8o, which cor re sponds to theanti-Bragg point of the stand ing phase of DIP. TheMaxipix sin gle-pho ton count ing 2D de tec tor was used tomon i tor the GISAXS dif fuse scat ter ing in the vi cin ity ofthe Yoneda wing as well as the sec u larly re flected beam si -

Fig ure 1. GISAXS im ages taken dur ing the growth of a diindenoperilene (DIP) film at thick nesses of 0.5, 1.0 and 1.5 monolayers (left, mid dle, and right, re spec tively). The dif fuse scat ter ing pres ent in left and right im ages is due to thepres ence of DIP mo lec u lar is lands. Al most no dif fuse scat ter ing is pres ent at 1.0 monolayer of DIP, since the layer iscom pleted and no is lands are pres ent. The en hance ment of in ten sity at Qz=1.05 nm-1 cor re sponds to the Yoneda wing of the thin film. The in tense peak around Qz=1.9 nm-1 is the spec u lar re flec tion from the sam ple at the anti-Braggpoint of DIP standing phase

Page 8: V. Holý · PbEuTe) and semi con duc tor and me tallic nanocrystals in am or phous m a tr ix (Ge/ SiO 2, Ge/Al 2 O 3, Co/SiO 2, among oth er s). 1. U., Pietsch, V. Holý and T. Baumbach

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Ma te ri als Struc ture, vol. 20, no. 2 (2013) 67

mul ta neously. The real-time mea sure ments are com ple -mented by post-growth AFM and XRR mea sure ments.

The out-of-plane thick ness de pend ent struc ture of thethin films, in clud ing the cov er age of mo lec u lar lay ers andout-of-plane lat tice con stant, is probed us ing XRR mea -sure ments at the anti-Bragg con di tion. We ap ply a growthmodel first pro posed by Trofimov et al. [5] in com bi na tionwith kinematical scat ter ing the ory [6] to sim u late the XRRdata. Ad di tion ally, we need to im ple ment thick ness de -pend ent lat tice con stant to fully de scribe the ex per i men talob ser va tions. The de tailed anal y sis re veals the layer- by- layer growth mode in the first two mo lec u lar lay ers and anon set of the film rough en ing from the third monolayer on -wards. Ad di tion ally, we ob serve change of the out- of- plane lat tice spac ing and con com i tant change of mo lec u lartilt dur ing the growth of the 2nd – 4th monolayer.

The in-plane struc ture of the thin films is probed us ingGISAXS mea sure ments (see Fig. 1), which al low for de ter -min ing thick ness de pend ent dis tance of mo lec u lar is landsand their size. We use the tem per a ture de pend ence of theis land size to de ter mine ef fec tive ac ti va tion en ergy of is -land nu cle ation in dif fer ent lay ers. The ef fec tive en ergy inthe 2nd layer is smaller than that in the 1st layer. Thedifference in activation en er gies ex plains the fact that is -lands grow smaller in the 1st layer than in the 2nd layer asob served us ing GISAXS and also in AFM post-growth im -ages.

In con clu sion, com bined in situ real-time GISAXS andXRR mea sure ments bring in sight into the growth of thefirst few monolayers of DIP thin films. In par tic u lar, we are able to cap ture the tran si tion from layer-by-layer growth tothe thin film rough en ing and the change of lat tice pa ram e -ters dur ing the growth and to iden tify dif fer ence in ac ti va -tion en er gies for the first two molecular layers.

1. Phys ics of Or ganic Semi con duc tors, ed ited by W. Brütting(Wiley-VCH, Weinheim, 2005).

2. S. Kowarik, A. Gerlach, S. Sellner, F. Schreiber, L.Cavalcanti, and O. Konovalov, Phys. Rev. Lett., 96, (2006), 125504.

3. R. Banerjee, J. Novák, C. Frank, C. Lorch, A. Hinderhofer, A. Gerlach, and F. Schreiber, Phys. Rev. Lett., 110, (2013),185506.

4. K. A. Ritley, B. Krause, F. Schreiber, and H. Dosch, Rev.Sci. Instrum., 72, (2001), 1453.

5. V. I. Trofimov and V. G. Mokerov, Thin Solid Films, 428,(2003), 66.

6. S. Kowarik, A. Gerlach, M. W. A. Skoda, S. Sellner, and F. Schreiber, Europ. Phys. J.- Spe cial Top ics, 167, (2009), 11.

We grate fully ac knowl edge the fi nan cial sup port of theDFG. We also ac knowl edge J. Krug (Uni ver sity Köln) andS. Bommel (Humboldt Uni ver sity Berlin) for help ful dis -cus sions and F. An ger (Uni ver sity Tübingen) for help dur -ing ex per i ments.

Ses sion III, Wednesday - morning, September 11

L9

SMALL-ANGLE NEUTRON SCATTERING CONTRIBUTION TO DEVELOPMENT OFSOME NOVEL MATERIALS

P. Strunz1, D. Mukherji2, M. Petrenec3, R. Gilles4, G. Schumacher5, G. Pigozzi6, U. Keiderling5, T. Geue7, U. Gas ser7, J. Šaroun1 and J. Rösler2

1Nu clear Phys ics In sti tute ASCR, CZ-25068 Øež near Prague, Czech Re pub lic2TU Braunschweig, Institut für Werkstoffe, Langer Kamp 8, 38106 Braunschweig, Ger many,

3IPM Brno, Czech Re pub lic and TESCAN, a.s., Czech Re pub lic4TU München, Forschungsneutronenquelle Heinz Maier-Leibnitz (FRM II), Lichtenbergstraße 1, 85747

Garching, Ger many5Helmholtz Cen tre Berlin for Ma te ri als and En ergy GmbH, Glienickerstr. 100, D-14109 Berlin, Ger many

6Lab o ra tory for Cor ro sion and Ma te ri als In teg rity, EMPA Duebendorf, Swit zer land7Lab o ra tory for Neu tron Scat ter ing, Paul Scherrer In sti tute, CH-5232 Villigen, Swit zer land

[email protected]

Ba sic ad van tages and dis ad van tages of neu tron ra di a tionand its in ter ac tion with mat ter - with re spect to ma te ri als re -search by means of neu tron dif frac tion - are listed. The ar -eas of Small-An gle Neu tron Scat ter ing (SANS) [1]ap pli ca tion in ma te ri als science are discussed.

Sev eral ex am ples of the use of SANS to microstructural char ac ter iza tion of tech no log i cally im por tant me tal lic ma -te ri als are shown. First, a con tri bu tion of in-situ SANS to aso lu tion of an open ques tion in INCONEL polycrystallinesuper al loy load char ac ter is tics is re ported. Sec ondly, evo -

lu tion of g’-pre cip i tate mor phol ogy in pre-de formed sin -gle-crys tal Ni-base super al loy at el e vated tem per a tures is

de ter mined. Af ter wards, char ac ter iza tion of a po rous mem -brane pre pared by se lec tive phase dis so lu tion pro cess fromthe sin gle-crys tal Ni super al loy is pre sented. Fur ther,SANS char ac ter iza tion of Ni3Si-type nanoparticles dis -persed in a mix ture of H2O/D2O us ing the con trast vari a -tion method is shown. Fi nally, the in ves ti ga tion of a modelsys tem (Al-Pb) for test ing liq uid-phase dis per sionstrength en ing is dis cussed.