Controlling the Structure of Two-dimensional Nanoparticle Supracrystals from Long-range Order to Anisotropy by Tailoring Ligand Interactions by Jin Young Kim B.S., Korea Advanced Institute of Science and Technology (KAIST), Korea (1998) M.S., Korea Advanced Institute of Science and Technology (KAIST), Korea (2000) Submitted to the Department of Materials Science and Engineering In Partial Fulfillment of the Requirements of the Degree of DOCTOR OF PHILOSOPHY at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY JUNE 2012 © Massachusetts Institute of Technology 2012. All Rights Reserved Author……………………………………………………………………………………… Department of Materials Science and Engineering May 22, 2012 Certified by…………………………………........................................................................ Francesco Stellacci Professor of Materials Science and Engineering Thesis Supervisor Certified by…………………………………........................................................................ Caroline A. Ross Professor of Materials Science and Engineering Thesis Supervisor Accepted by…………………………………........................................................................ Gerbrand Ceder Chair, Departmental Committee on Graduate Students Controlling the Structure of Two-dimensional Nanoparticle Supracrystals from Long-range Order to Anisotropy by Tailoring Ligand Interactions by Jin Young Kim Submitted to the Department of Materials Science and Engineering on May 22, 2012 in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Materials Science and Engineering Abstract Ligand-stabilized nanoparticles (NPs) assembled into long-range ordered arrays, also known as “nanoparticle supracrystals (NPSCs)”, are expected to provide a powerful general platform for designing new types of solids. In particular, the NPs are themselves self-assembled structures consisting of a core and a self-assembled monolayer of ligand molecules surrounding it. The self-assembled structure of the NPs themselves determines the structure of the self-assembled supracrystals. Ligands are of special interest in this respect, because it is an important component for the NP system which play a major role in the design of self-assembly of the complex matter and also provide a powerful entry into the supracrystal engineering. The increasing ability to control the way in which ligand molecules associate gives means for the designed generation of supraparticle architectures in the self-assembly. In spite of this, elucidation of how the ligands play a role in affecting the structural behavior of NPSCs remains largely unrevealed. In this thesis, the effect of ligands for the two dimensional (2D) self-assembled NPSCs structure was investigated. The key materials advancement that enables this work is that we have been able to synthesize monodisperse gold NPs of same core size but different ligand molecules. Additionally, a new method for monolayer film processing has been developed to prepare the 2D NPSCs, based on a Langmuir assembly through successive compression cycles. Importantly, as there is little effect exhibited by solvent interactions in the NPs structure obtained from this approach, the corresponding NPs structural variation in this work is truly driven by the different ligand interactions in NPSCs. Specifically, we show that such ligand interactions have direct consequences on the ordering and symmetry of the assembled NPSCs structures. Here, we report on a set of NPSC arrays in which small changes in either the NP ligand environment or the ligand 2 configuration geometry induce significant variations in the order parameters of the crystal. First, we show that the packing organization of a 2D NPSC array of hydrophobic alkanethiol ligands varies with subtle chemical changes in the system, leading to a transition between long-range to short-range (almost glassy) ordered phases. The balance between long and short-range order is driven by small differences in intermolecular interpenetration of the ligand molecules, that can be related to ligand conformational and that can be rigorously the experimentally measured. Second, we show the first 2D NPSC structures to have unique anisotropic symmetry due to the interaction between amphiphilic NP ligand shells. It is understood that the ligand interactions on NPs through their unique molecular configuration of amphiphilic ligands may provide the anisotropic feature in the orientational alignment of NPSC symmetry. Thesis advisor: Francesco Stellacci, Professor of Materials Science and Engineering at EPFL Caroline A. Ross, Toyota Professor of Materials Science and Engineering at MIT 3 Acknowledgements This thesis would not have been completed without people who support and inspire me during the course of Ph.D. work at MIT. First of all, I thank my two advisors, Professors Francesco Stellacci and Caroline A. Ross. I thank Francesco for his guidance, support, and inspiration throughout my studies. I thank Prof. Ross for her generous nature and constant encouragement. Both of them has taught me much and have always been reliable mentors who have guided me into right direction during Ph.D. study at MIT. It was great pleasure to work with them. I also thank my thesis committee members, Professors. Carl V. Thompson and Karl K. Berggren, for constructive and insightful comments. I am grateful to my former advisor Prof. Duk Young Jeon at KAIST for his sincere support, guidance, and advice for my studies and career development. The members of SuNMaG and SuNMIL have always been friendly and supportive. In particular, I would like to thank Benjamin Wunsch, Jeffrey Kuna, Kislon Voitchovsky, and Osman Bakr whom I have greatly learned from and enjoyed interacting with. Additionally, I would like thank Korean friends at MIT: Byungwoo Kang, Dong Kyun Ko, Dong Sup Lee, Hyewon Kim, Jae Chul Kim, Jae Jin Kim, Jihun Oh, Jiye Lee, Jongnam Park, Seok Joon Kwon, Seung Woo Lee, Sung Keun Lim, Yeon Sik Jung, and Yong Chul Shin to share their valuable time with me. I would like to express my respect, love, and thanks to my family – parents, and my brother and my sister-in-law’s family. Lastly, I thank my lovely wife, Hae Jung for her understanding and encouragements. 4 Table of Contents List of Figures 7 List of Tables 12 Chapter 1. Introduction and Background……………………………… 13 1.1 Introduction………………..……………….…………………………………... 13 1.2 Nanoparticle Supracrystal (NPSC).………………………………….……….… 16 1.3 Preparation of NPSCs………………….…………………………….………... 17 1.3.1 Assembly Components……………………….. …………….…….…. 17 1.3.2 Assembly Methods………………………….……………….……….. 25 1.4 Ligand-stabilized AuNPs….…………………………………………….….….. 32 1.5 Preparation of AuNPs………………….…………………………………..…... 39 1.6 Referecnes……..…………………………………………………………..…… 46 Chapter 2. Preparation of 2D NPSCs through Langmuir Assembly via Successive Compression Cycles…………………………………............ 51 2.1 Introduction…………………………………………………………………… 51 2.2 Experimental.………………………………………………………………….. 53 2.3 Effect of Compression in Langmuir DDT-AuNPs Monolayer Film………….. 54 2.4 Stress Relaxation Behavior in Langmuir DDT-AuNPs Monolayer Film……... 56 2.5 Effect of Compression/Relaxation Cycles in Langmuir DDT-AuNPs Monolayer Film……………………………………………………………………………. 59 2.6 Role of the DDT Ligands in NPs Assembly……………………………….….. 66 2.7 Summary…….………………………………………………………………… 67 2.8 References………..…………………………………………………………… 68 Chapter 3. Ordering Behavior in the 2D Alkanethiol-Au NPSCs by Ligand Interactions………………..…………………………………… 72 3.1 Introduction…………………………………………………………....……… 72 3.2 Experimental..………………………………………………………….....….. 5 74 3.3 Structure Phase Behavior for 2D Supracrystals of Alkanethiol-AuNPs…….... 76 3.4 Interparticle Spacing Results for 2D Supracrystal of Alkanethiol-AuNPs….... 80 3.5 IR Study for Ligand Conformational Behavior in 2D Alkanethiol-AuNPSCs.. 84 3.6 Summary…...………………………………………………………………….. 88 3.7 References….………………………………………………………………….. 88 Chapter 4. Self-assembly of Amphiphilic NPs into 2D NPSCs by Langmuir Method………………………………………………………. 92 4.1 Introduction…………………………………………………………………. 92 4.2 Experimental.………………………………………………………………… 94 4.3 Self-assembly of Amphiphilic NPs into 2D NPSCs by Langmuir Method…. . 95 4.4 Optical Characteristics Induced by Anisotropic NP Packing into NPSCs…… 100 4.5 Free Energy Contribution of Mixed Ligands Effects for Self-assembly of NPs into 2D NPSCs by Langmuir Method…………………………………………..…. 101 4.6 Summary……………………………………………………………………… 103 4.7 References………………………………………………………………..…… 103 Chapter 5. Conclusions and Outlook…..……………………………... 105 5.1 Conclusions..………………………………………………………………….. 105 5.2 Outlook……..…………………………………………………………………. 106 5.3 References…..…………………………………………………………..…….. 108 6 List of Figures Figure 1-1. (a) Highly ordered monolayer of pentadecylamine-stabilized AuNPs. The average mean diameter of NPs size is 8.3±0.7 nm. (b) Selected area diffraction patterns (high and low angles) for the monolayer. (25)……….…………………….……………. 19 Figure 1-2. Transmission electron micrographs (TEM) of the different structures according to the size ratio in the decanethiol-stabilized AuNPs mixtures; (left) random mixture at the ratio of greater than 0.85, (middle) binary ordered structure at the ratio of ~0.58, and (right) phase separation at the ratio of ~0.47. (27)……….…………………... 20 Figure 1-3. TEM images of various self-assembled supracrystal structures of nonspherical NPs; (a) nanocubes, (b) nanoctahedra, (c) nanoplates, and (d) nanorods, (3134)……………………………………………………………………………..…..…….. 21 Figure 1-4. Magnified TEM images of (a) dodecanethiol- and (b) dodecylamine stabilized AuNP assemblies. (40)……………………………………..……..…….……. 23 Figure 1-5. Schematic model of fcc and bcc structure of NPSC formed by controlling symmetry and shape-anisotropic interactions through variable ligand surface coverage. (42)……………………………………………………………………………………..... 25 Figure 1-6. NP patterns formed by drop-casting of 5.5 nm sized-DDT-stabilized AuNPs solution. NP concentrations were as follows: (a) (a) 1.0×1012, (b) 4.8×1012, (c) 1.2×1013, (d) 1.2×1013 with excess ligand volume fraction of 6.3×10-3. (45)...……………………….. 27 Figure 1-7. TEM images of NP arrays produced by micro-contact printing. The NP arrays appear darker in these imgaes. (a) Parallel lines. (b) Square pads. (48)……………………………………………………………...……………………….. 29 Figure 1-8. Schematic of the interfacial configurations of the Janus NPs in two Langmuir techniques, up-stroke and down-stroke modes; in the up-stroke deposition, the hydrophilic face was in direct contact with the substrate whereas the hydrophilic face was exposed and in the down-stroke deposition, an opposite configuration was obtained. (50)………………………………………………………………………………………. 30 7 Figure 1-9. Scheme of DNA-programmable NP crystallization. AuNP-DNA conjugates can be programmed to assemble into different crystallographic arrangements by changing the sequence of the DNA linkers. (57)……………..……………….…………………... 32 Figure 1-10. A plot of the relative lowering of the melting for AuNPs vs the inverse NP radius. (62)………………………………………………………….…………………… 34 Figure 1-11. Single electron tunneling on a single ligand-stablized Au55 cluster at 90K. The junction capacity was calculated to be 3×10-19 F by fitting. Coulomb staircase behavior is visible. (65)…………………………………………………………………. 35 Figure 1-12. X-ray crystal structure determination of Au102(p-MBA)44 NP. Electron density map (red mesh) and atomic structure (gold atoms depicted as yellow spheres, pMBA shown as framework and small spheres sulfur in cyan, carbon in gray and oxygen in red). (69)…………………………….…………………………………………………... 36 Figure 1-13. Schematic diagram of an ideal, single-crystalline SAM of alkanethiolates supported on a gold surface with a (111) texture. (72)…………………………………. 38 Figure 1-14. Schematic diagram depicting the arrangement of decanethiol on Au(111) lattice. (a) Structural model of the commensurate adlayer formed by thiols on the gold lattice. The arrangement shown is a (√ ×√ )R30°structure where the sulfur atoms (dark gray circles) are positioned in the 3-fold hollows of the gold lattice. (b) Cross-section of the SAM formed from decanethiol.(72)..……………………………………………………. 38 Figure 1-15. Various thiols used for the generation of monolayer-protected AuNPs. (75)………………………………………………………………………………………. 41 Figure 1-16. Formation of AuNPs protected with alkanethiolates by reduction of Au(III) compounds in the presence of alkanethiols. (75)……..…………………………………. 42 Figure 1-17. TEM images of different-sized AuNPs produced by varying reaction solvent (a-b) and temperature (c-f): (a) 2.1 ± 0.3 nm; (b) 3.5 ± 0.3 nm; (c) 5.3 ± 0.4 nm; (d) 6.2 ± 0.3 nm; (e) 7.1 ±0.5 nm; (f) 8.3 ±0.5 nm. All scale bars are 20 nm. (78)..….…………. 42 Figure 1-18. General scheme and examples of functionalized thiols for the ligand exchange reactions. (75)…………………………………………………………………. 44 8 Figure 2-1. (a) Surface pressure-area compression isotherm curve for the DDT-AuNPs monolayer. (b) TEM images of the NPs monolayer film structures transferred to the substrates at various surface pressure. Scale bar : 100 nm.……….……………..……… 55 Figure 2-2. (a) Surface pressure-time relaxation isotherm curve for the DDT-AuNPs monolayer compressed to 18 mNm-1. (b) TEM images of the close-packed Langmuir NPs monolayered film taken before and after relaxation process. Scale bar : 100nm.…….… 57 Figure 2-3. (a) Relaxation isotherm curves for the DDT-AuNPs film achieved at the various surface pressure. Each segment on the time trace corresponds to the relaxation in various surface pressures after a compression step. The four regions (I-IV) identified are discussed in the text. (b) TEM images of the NPs films corresponding to each region. The film structures were obtained from after reaching the plateau in each regions of the isotherm curve. Scale bar : 100 nm.………………………….………………………….. 58 Figure 2-4. Schematic drawing illustrating the preparation of the Langmuir NP monolayer through cyclic compression cycles at 12 mNm-1 (top) and surface pressure-time & area change-time curves for each step (bottom): (1) monolayer spreading – the NPs monolayer was spread by careful casting of a 0.2 mg/ml solution in mixed solvents of dichlorofmethane and hexane (vol 50:50) onto water subphase, (2) compression – the area of the monolayer was decreased by moving a barrier with a rate of 10 cm 2min-1. (3) relaxation – the compressed monolayer in (2) step is kept under constant area. In this process, surface pressure decays over time, followed by plateau, (4) cyclic compression processes in Langmuir NPs monolayer, accompanied by relaxation step.………….…... 60 Figure 2-5. (a) TEM images of NPs monolayer by compression cycles at 12 mNm -1. (b) Langmuir relaxation isotherm curves during cyclic compression cycles for DDT-AuNPs at 12 mNm-1. (c) High-magnification TEM images of DDT-AuNPs monolayer obtained from 3rd compression cycles. Scale bar : 100 nm….…………………………………………. 61 Figure 2-6. DDT-AuNPs monolayer obtained from 3 compression cycles at surface pressures of 10, 11, and 12 mNm-1; (a) Langmuir relaxation isotherm curves during 9 compression cycles, (b) TEM images of DDT-AuNPs monolayer obtained from 3 compression cycles. Scale bar : 100 nm……………..………………………..………… 64 Figure 2-7. Structural order in NPs monolayer structures by the radial distribution functions (RDFs); (a) as-compressed to 18 mNm-1, (b to d) 3 compression cycles at 10, 11, and 12 mNm-1. The RDFs was calculated from the TEM data. The correlation distances of the NPs structures are listed in Table 1. Within correlation distance, the NPs are closepacked with a six-fold symmetry………………..……………………………………… 65 Figure 2-8. Structural order in NPs monolayer structures by spatial distribution of the extent of interdigitation (E.I.) (top) and the histograms for the distribution of the ligand E.I. values; (a) as-compressed to 18 mNm-1, (b to d) 3 compression cycles at 10, 11, and 12 mNm-1. Here, the E.I. is averaged over the first nearest neighbors and shown as the particle color. See the color bars for meaning of the particle color. The average values for the spatial distribution of the E.I. values are listed in Table 1. Scale bar : 100 nm.……….. 65 Figure 2-9. A plot representing the average inter-edge spacings of a NP in NPs monolayer structures as a function of NPs size, which is averaged over its first nearest neighbors; (a) before and (b) after compression…………………….…………………………………. 67 Figure 3-1. Langmuir relaxation isotherm curves during compression cycles. The area (black curve, left axis) and surface pressure (blue curve, right axis) versus time during Langmuir film processing through successive compression cycles.…………………… 77 Figure 3-2. Structural phase behavior 2D alkanethiol-Au NPSCs. (a) TEM images, (b) grain size analysis, (c) FFT patterns, and (d) radial distribution function (RDF) results for 2D alkanethiol-Au NPSCs. Scale bar : 100 nm….……………………………………. . 79 Figure 3-3. Interparticle spacing results for 2D alkanethiol-Au NPSCs. (a) Interparticle spacing distribution for 2D alkanethiol- Au NPSCs. The red lines in the diagram represent one (left) and two (right) ligand span lengths, respectively. (b) Plots representing the average inter-edge spacings of a NP in 2D NPSC structures as a function of NP size, which is averaged over its first nearest neighbors…..……………………………………….... 81 Figure 3-4. IR spectra in (a) ν(C–H) regions and (b) average peak position of d- and d+ CH2 stretching vibrations of alkanethiol- Au NPSCs…………...……………………… 85 10 Figure 3-5. IR spectra in (a) ν(C–C) and (b) ν(C–S) regions of alkanethiol- Au NPSCs. (c) Plot of the ratio of intensity of the band at ~1342 cm-1 (square) and ~1366 cm-1 (circle), ascribable to end-gauche defect and internal kink defect respectively, to the sum with the band at ~1377 cm-1 as a function of chain lengths for alkanethiol……………………… 87 Figure 4-1. TEM results of 2D NPSCs structures of AuNPs coated with HDT and MUOL with the varied ratio of ligand compositions; (top) TEM images, (bottom) FFT patterns. Scale bar : 100 nm.……………………………………….……………………………… 97 Figure 4-2. Plot of interrelationship between interparticle spacing, eccentricity, and correlation distance measured in the NPSCs structures……………………………........ 99 Figure 4-3. Normalized absorbance intensity at 572 nm as a function of the rotation angle of NPSCs to the polarized light beam...……………………………………………........ 100 11 List of Tables Table 2-1. Summary of structural order parameters for the NPs monolayered structures studied…………………………………………………………………………..……….. 66 Table 3-1. Summary of particle size distribution results for the synthesized alkanethiolAuNPs with different chain lengths…………………………………..….…………..….. 75 Table 4-1. Summary of particle size distribution results for the synthesized AuNPs used in this study….……………………….…………………………………..….……………... 94 Table 4-2. Axes values and eccentricity obtained by the fitted FFT patterns of NPSCs structures……………………………..………………………………..….……………... 97 12 1. Introduction and Background 1.1. Introduction Self-organization of nanoparticles (NPs) opens a new and challenging area in nanoscience. It is established that NPs present a new building block for the fabrication of advanced materials that are expected to exhibit novel chemical and physical properties. Furthermore, as with understanding of how atoms or molecules organize into condensed matter systems, thus producing new, collective phenomena investigation of novel types of condensed matter built from NPs is now drawing interest in the scientific community. Inspired by the complex and functional systems formed extensively in Nature through self-organization, the concept of self-assembly is a critically enabling “bottom-up” approach to organizing NPs into well-defined lattice structures or geometries. Much like atoms or molecules which can crystallize into solids, NPs can also assemble into larger scale structures which can demonstrate various level of hierarchy. In terms of technological applications it is expected that the distinct properties of the nanometer-scale building blocks in combination with the novel collective properties of their assemblies, will provide a versatile approach to materials for a wide range of potential applications, including thermoelectric, photovoltaic, memory storage, and chemical sensing aspects (1-6). With the first report of the self-assembly of a NP supracrystal (NPSC) (also known as superlattice) by Benton et al. in 1989 (7), the study and prospects for such materials have advanced rapidly (8-10). 13 However, despite its enormous potential, self-assembly of NPs still poses a number of substantial challenges. The central challenge to all NP self-assembly is understanding how to rationally design and fabricate systems. Many of the ideas that are crucial to the development of this area have been pursued from various vantage points: NPs synthesis, the interplay between enthalpy and entropy, the nature of non-covalent forces in self-assembled NPs structures, thermodynamic approach of self-assembling process, macroscopic/microscopic packing arrangement in self-assembled structure (11-19). Here, we mainly explore the concept of ligand molecules in NPSCs engineering. We believe that self-assembled ligand configurational structures and their interactions in close proximity during NP assembly process could become an important and useful design principle in these and related areas. In particular, in the sense that the ligand molecules affect not only the thermodynamic interaction potential but also dynamic assembling process, the detailed understanding of the ligand interactions becomes crucial to control the order in NPs assemblies. Yet, elucidation of how the ligands play a role in affecting the ordering behavior of self-assembled NPs structures remains largely unknown. One of the major limiting factors for the study is the scope of the available analytical tools for further characterization. Rigorous identification of the structures themselves can be difficult because of their lability and complex connectivity. Therefore, description of the behavior of their assembly is considered to be a formidable challenge. The focus of this thesis project is to study and understand the two dimensional NPSC of gold nanoparticles (AuNPs) with ligand molecules and how the ligand interactions affect the structural behavior of NPSCs. Specifically, we show that interactions 14 between ligand molecules on the NPs has direct consequences on the ordering and symmetry of the assembled NPSCs structures. We show that the degree of ordering of a 2D NPSC array of hydrophobic alkanethiol ligands varies with subtle chemical changes in the system, leading to a transition between ordered and glassy phases. In addition, we show the 2D NPSC structures to have unique anisotropic symmetry via the interaction between amphiphilic NP ligand shells. We show that the structural behavior is a direct consequence of the ligand interaction in 2D NPSCs. The key materials advancement that enables this work is that we have been able to prepare monodisperse AuNPs of same core size but with different ligand molecules from the synthesis, not ligand exchange: the latter case inevitably introduces a number of additional complications including changes in surface chemistry, solubility, and NP morphology. Additionally, for film processing in this study, we use an experimental approach to prepare the 2D NPSCs through a Langmuir assembly and then annealing them through multiple compression cycles. Importantly, because NPs are driven into assembled structures by mechanical compression and/or relaxation in the process, there is little interaction with the solvent. Thus, the corresponding NPs structural variation in this work is truly driven by the different ligand interactions in NPSCs. In the following chapter 1, I concentrate mainly on a discussion of NPSCs based on observed phenomena reported in the literature. Additionally, an overview of AuNPs is also presented. 15 1.2. Nanoparticle Supracrystal (NPSC) The properties of most materials are intimately connected to the way in which they are ordered on the atomic scale. A new study suggests that in materials made from the regular arrangement of discrete NPs, control of order and periodicity could be exploited at a whole new level. NPSCs are a relatively new class of materials that have become possible through recent advances in the chemical preparation of ligand-stabilized metal and semiconductor NPs with very narrow size distributions. These particles can self-organize to form crystalline materials with both atomic and nanometer-scale order via self-assembly. Self-assembly refers to the process by which NPs or other discrete components spontaneously organize, either directly through specific interactions and/or indirectly, through their environment (20). Self-assembly is typically associated with thermodynamic equilibrium, the organized structures being characterized by a minimum in the system’s free energy, although this definition is too broad (21). Essential in self-assembly is that the building blocks organize into ordered, macroscopic structures, either through direct or indirect interactions. NP self-assembly is of growing interest as one has the possibility of exploiting spatial or temporal attributes of NPs to tailor assembly formation. By altering the substituents of the assembling building blocks, desirable changes in the assembly process are achieved. The self-assembling interactions between the NPs are generally dominated by the attractive van der Waals (vdW) interactions, which are in turn balanced by steric/electrostatic repulsion. The interparticle interactions are further influenced by the size and shape of the NPs and the length and molecular arrangement of the ligand shells capping 16 NPs. Moreover, the medium (solvent) also plays a role in the interaction between the NPs in complex manners. Such complex behavior results in kinetically-trapped NPs structures, which makes it difficult to bring them into an equilibrium state (18). In addition, desired properties and structural effects in the assembled materials can be accomplished using confined space or surface. This strongly affects the force balance for the self-assembled structures, and therefore the packing geometry. Self-assembly of NPs can be achieved using simple methods such as evaporation-based assembly, assembly at an interface, etc., or by more advanced methods of patterned self-assembly using lithography (22) and microcontact printing (23), where only the patterned areas with suitable chemical functionalities create organized NP networks on substrates. 1.3. Preparation of NPSCs NPSCs are generally prepared from the “bottom-up”, where the film structure is controlled via both the assembly components themselves and the method for inducing selforganization. In the following section, we discuss the effect of NPs components in the ordering behavior and review a number of methods that have been commonly employed in NPSCs assembly studies. 1.3.1. Assembly Components NP size effects - Commonly, small particles have been shown to have a less wellordered structure compared to larger particles. One of the reasons for this phenomenon is 17 due to the larger atom per particle distribution for the given size deviation at the smaller NPs size. For example, a 1.4 nm gold particle requires only 100 atoms to increase in core diameter by 0.5 nm, whereas the equivalent change in a 10 nm particle is 5000 atoms. The net result is that small deviations in core size easily disrupt the assembly of small particles but have less effect on the assembly of large particles. Another interpretation can come from the examination of the interaction forces operating in the self-assembly process. In particular, the amplitude of the vdW potential needs to be sufficient to counterbalance the thermal energy, but only when the AuNPs are sufficiently large as the amplitude of the vdW potential is size dependence. For example, Abécassis et al. (24) calculated the vdW potential for AuNPs of 3 different radii as a function of the inter-NP separation distance. When the particles drops below a critical radius, the thermal energy becomes strong enough to influence the particles interactions and the self-assembling process will not be possible. Brown et al. (25) reported the size effect in the pentadecylamine-AuNP system for the formation of NPSCs. They have shown that AuNPs of different sizes varying between 1.8 and 8 nm demonstrate different structures of NPSCs. They demonstrated from the analysis of electron diffraction that bigger NPs self-assemble into the better ordered structures (Figure 1-1). Additionally, Whetten et al. (26) have produced a phase diagram of NPSCs structure based on free energy calculations of the formed phase. They argued that for the ligand they employed, as the NPs size becomes smaller, the structural phase formed tends toward a lower degree of symmetry. 18 Figure 1-1. (a) Highly ordered monolayer of pentadecylamine-stabilized AuNPs. The average mean diameter of NPs size is 8.3±0.7 nm, (b) Selected area diffraction patterns (high and low angles) for the monolayer. (25) When NPs that differ in the core size, the ligand molecules, or the core material, are co-assembled, the interaction force is more complicated, with a number of distinct pairwise interactions combining with hard-sphere space-filling rules to drive the self-assembly of multicomponent NPs. Indeed, mixtures of AuNPs of different sizes have very different assembly behaviors depending on the ratio between the core diameters. Considerable theoretical and experimental work has been done to clarify the causes of these different regimes but many questions remain (27-29). It is accepted that a combination of enthalpy and entropy factors leads to the formation of these aggregates. When the former are dominant, phase separation prevails; when the latter are dominant, homogenous mixtures are formed, and supracrystals exist in an intermediate region (Figure 1-2). Additionally, it has been found that NPs have a net charge, leading to additional coulombic attraction and 19 repulsion forces that need to be taken in account when studying the formation of these particle crystals (31). Figure 1-2. Transmission electron micrographs (TEM) of the different structures according to the size ratio in the decanethiol-stabilized AuNPs mixtures; (left) random mixture at the ratio of greater than 0.85, (middle) binary ordered structure at the ratio of ~0.58, and (right) phase separation at the ratio of ~0.47. (27) NP shape effects - Recent synthetic advances enable a possibility of generating nonspherical (faceted) NPs with precise control of the size, shape, and surface chemistry, allowing a rational assembly of these non-spherical NPs into close-packed supracrystals (31-34). For spherical NPSCs, the crystal orientations of building blocks are random and the whole pattern should be isotropic with a translational order. In contrast, non-spherical NPs can produce a richer variety of assembled structures due to their unique geometrical features with their anisotropic assemblies. Various structures of supracrystals assembled from non-spherical NPs including nanocubes, nanooctahedra, nanoplates, nanorods, and other morphologies are displayed in Fig. 1-3. 20 Figure 1-3. TEM images of various self-assembled supracrystal structures of nonspherical NPs; (a) nanocubes, (b) nanooctahedra, (c) nanoplates, and (d) nanorods. (31-34) Ligand effects - Only a few studies have been reported on the effect of the interaction between ligand molecules for the NPSCs. Of particular interest is the question of how the ligand interactions affect the ordering behavior of NPSCs. Given the difficulties and complexities involved in getting NPs to form high-quality supracrystals, and the fact that they are often limited to ligand interactions, investigating such behavior has not been easy. Hostetler et al. (35) reported a comprehensive characterization with infrared transmission spectroscopy of the structures of alkanethiols bound to AuNPs, with chain 21 lengths varying from 3 carbon atoms (propanethiol) to 24 (tetracosanethiol). They found that the shorter chain length thiols were substantially disordered compared to the longer ones and most resembled the free alkanes in the liquid state. Crystalline packing of the alkanethiol groups was observed from the region of chain lengths higher than six-carbon atom (hexanethiol). This same issue was addressed theoretically by Luedtke & Landman (12), who performed molecular dynamics simulations that corroborated this picture for 3D NPSCs of AuNPs. The longer-chain alkanethiols such as dodecanethiol (12 carbon atoms) preferred to organize into bundles. This alkanethiol bundle thus governed the organization of the particles in the NPSCs. It is known that when alkanethiol-stabilized metal NPs assemble, their ligand shells interpenetrate in a process known as interdigitation (36, 37). This phenomenon is one of the driving forces for the formation of NPs lattices and can lead to close-packed supracrystal structures. For octanethiol-stabilized silver particles of 5 nm, the interdigitation enthalpy is ~20 kJ/(mol of ligand), a sizeable energy. This energy shows strong dependence on the ligand chain lengths and ligand composition (38). The supracrystals generated by drying these particles under similar conditions are very different in size and quality even though the size and dispersity of the metallic cores are kept identical, so it is clear that the interdigitation energy plays a complex role that needs to be better understood. Kim et al. (39) reported that the extent of ligand interdigitation is estimated to be ~ 0.5 in the DDTcoated AuNPs monolayer. Also, they have shown the relationship between both the NPs diameter and the ligand interdigiation within the NPs assembly to the formation of ordered NPs structures. Another example in terms of interdigiation is shown in the work of Prasad 22 et al (40). They have shown differences in their assemblies from dodecylamine- and DDTstabilized AuNPs. It should be noted that as both these molecules contain 12 carbon atoms the ligand shell on the surface is expected to be of the same thickness. It is also shown that while the ligand shells from neighboring AuNPs in the thiol case participate in full interdigitation, ligands with amine head group do not do so (Figure 1-4). This has been partially attributed to the weaker binding of the amine head group to the NP surface. Such weak binding may result in a higher disorder in the alkane chain hence preventing interdigitation. Figure 1-4. Magnified TEM images of (a) dodecanethiol- and (b) dodecylamine-stabilized AuNP assemblies. (40) Fink et al. (41) have prepared particles capped by quaternary ammonium bromides of varying chain lengths of six carbon atoms to eighteen carbon atoms. It was shown that 23 these particles self-assemble into 2D and 3D assemblies on substrates and that the interparticle separation gradually increases as the chain length is increased. An interesting formation of multilayers where the particles occupy 2 fold saddle sites instead of 3 fold hollow sites is observed and attributed to the interplay between the electrostatic repulsion and vdW attractive forces. In the thiol chain length variation experiment, it was observed that as thiol chain length increases, the gap between the particles increases by 1.2 Å gap/carbon atom. Recently, Hanrath and coworkers (42) studied the control of ligand attachment and/or coverage on NPs as a tunable parameter to direct the self-assembly of supracrystlas with predefined symmetry (Figure 1-5). They show that PbS NPs with dense ligand coverage assemble into supracrystal of face-centered cubic (fcc) structures whereas NPs with sparse ligand coverage assemble into supracrystal of body-centered cubic (bcc) structures. They suggest that the loss of ligands occurs preferentially on {100} than on {111} PbS NP facets by different surface chemistry on crystallographic plane. Additionally, they reported that solvent vapor annealing can be an efficient route to tune the selfassembled NPs structure through the control of ligand-ligand and ligand-solvent interactions in the self-assembly process (43). They studied the NPs assembly of various polymorphs, including fcc, bcc, and body centered tetragonal (bct) structures, using in situ grazing incidence small angle X-ray scattering under controlled solvent vapor exposure. 24 Figure 1-5. Schematic model of fcc and bcc structure of NPSC formed by controlling symmetry and shape-anisotropic interactions through variable ligand surface coverage. (42) 1.3.2. Assembly Methods Drop-casting - Drop-casting is the relatively simple method of assembling NPs on a surface. When a solution of NPs is spread on a solid substrate by drop-casting, the relatively weak attraction forces between NPs or between the NPs and the substrate gain importance during the slow solvent evaporation, forcing NPs to self-organize into mono- or multilayer structures. The drop-cast films of NPs typically exhibit well-ordered, selfassembled NP patterns on the surface with domain sizes ranging from a few hundred nanometers to several hundred microns. The NPs film structures assembled through this method have been shown to depend on three factors: NP size distribution, NP concentration, and solvent volatility. However, due to the highly non-equilibrium conditions of an evaporating drop, the thermodynamic control over the structure still remains unclear (17). Technically, the most important variable for controlling ordered self-assembled NPs structures is to prepare uniform-sized NPs with a standard size deviation (σ) of typically 25 less than 10 %, these particles being termed monodisperse. In the sense that core-core interactions such as vdW or dipolar interactions show size-dependence in NPs assembly, the use of monodisperse NPs is expected to be necessary for the NPSCs even if the extent of required monodispersity of NPs can be different depending on the materials. Korgel et al. (44) reported that NPs assemblies were not observed to form into ordered structures upon solvent evaporation in the case of polydisperse dodecanethiol (DDT)-stabilized silver NPs with σ of larger than 10 %. On the other hand, the same NPs with better size dispersity led to the formation of supracrystals with the face-centered cubic (fcc) structure. Lin et al. (45) have studied the effect of NP concentration on the formation of 2D NPSC. When a solution of monodisperse DDT-stabilized gold NPs of ~ 5.5 nm was spread on silicon nitride substrates, the sizes of NP domains strongly depended on the NP concentration (Figure 1-6). At a low NP concentration, NPs structures are formed into isolated island structures. At a higher NPs concentration, the structures get more dense NPs structures at the monolayer level, and thus form into close-packed NPs monolayer structures with an average domain size of a few hundreds μm2 at a concentration of 1.2 × 1013 mL-1. However, the domain increase at the monolayer was inhibited above the NP concentration level, so that film formed multilayer regions rather than increasing the monolayer size. The growth behavior of the island areas was studied under an optical microscope; the island areas growing linearly and exponentially in time by NP diffusion and aggregation along the island perimeter, and the growth rate varies from island to island. These islands eventually merge to form a continuous monolayer (41). 26 Figure 1-6. NP patterns formed by drop-casting of 5.5 nm sized-DDT-stabilized AuNPs solution. NP concentrations were as follows: (a) 1.0×1012, (b) 4.8×1012, (c) 1.2×1013, (d) 1.2×1013 with excess ligand volume fraction of 6.3×10-3. (45) Evaporation kinetics is examined to show the strong influence on the selfassembling process of NPs. As one example, the evaporation rate of the solvent can be modified by adding a second solvent. Murray et al. (5) have reported that structures of NP films prepared by drop-casting solutions of ~8 nm CdSe NPs coated with trioctylphosphine oxide/trioctylphosphine mixture strongly depended on the solvent composition. In particular, by tuning the mixing ratio of hexane/octane solvents with different solvent volatility, NP assemblies exhibited either supracrystals with a high degree of order, or glass structures of with a large amount of disorder. The presence of excess ligands in NPs solution is reported to strongly influence the solvent evaporation kinetics as well. In the 27 presence of excess ligands, DDT-AuNPs did form supracrystals with an extraordinary degree of monolayer perfection extending over several microns (Fig. 1-6d). The authors proposed that the excess surfactant reduced the evaporation rate of the solvent, thereby preventing the solvent from dewetting the surface (45,46). Langmuir methods - Langmuir methods can be used to prepare a monolayer of ordered NPs over macroscopic dimensions at an air/water interface. Typically, a solution of NPs of ligands with hydrophobic functional groups is spread on the water surface. After solvent evaporation, the NPs are formed into insoluble NPs monolayers first, which are slowly compressed along the water surface using a movable barrier on the Langmuir trough. The structural phase of NPs monolayer formed during the compression is monitored by measuring the net decrease in the surface tension of water, called surface pressure. The formed monolayer is then transferred to a substrate for further characterization, using either horizontal or vertical lift-off. Of interest, this method is simple, robust, scalable, insensitive to the substrate material and topography, and has a strong preference for forming monolayer films. As such, it stands out as an excellent candidate for the fabrication of technologically important ultrathin film materials (47). A benefit of the Langmuir approach is that it offers efficient control over inter-NP separation. We have shown a new Langmuir approach of getting NPs monolayers to move toward an equilibrium phase by employing successive compression and relaxation cycles (see chapter 2). They have investigated the structural evolution of NPs assemblies depending on the compression cycles. Successive compression cycles rendered the 28 interparticle spacing distribution more homogeneous and significantly increased the long range order in the assembled structure. Also inter-NP separations can be controlled by tuning surface pressure in the compression process or incorporating new ligand molecules directly into the Langmuir monolayers for ligand exchange. Due to the robustness in the processing, the Langmuir NPs structures can be efficiently engineered in various ways. For example, after transferring the Langmuir monolayered structure to a patterned polydimethylsiloxane (PDMS) stamp, the NPs assembly could be printed onto a substrate by bringing the PDMS stamp into contact with the surface, allowing the patterning of mono- or multilayered arrays of close-packed NPs (Figure 1-7) (48). Figure 1-7. TEM images of NP arrays produced by micro-contact printing. The NP arrays appear darker in these images. (a) Parallel lines. (b) Square pads. (48) 29 In addition, through interfacial ligand exchange process, the types of ligands on the Langmuir NPs monolayer can be engineered to a high degree. Perro et al. (49) showed that Janus NPs, with one half of hydrophilic phase and the other half of hydrophilic phase, could be designed through this approach. The presence of the Janus NPs has been verified by different contact angle test results of the particle monolayers deposited onto a substrate surface (50). Here two interfacial configurations were achieved by different modes of transfer (Figure 1-8). For enhanced stability of NPs film, a number of groups have demonstrated that robust NPs monolayer could be produced by incorporating bifunctional linkers into the Langmuir monolayer, thus leading to chemically cross linking of the NPs or ligands within the film (51). Figure 1-8. Schematic of the interfacial configurations of the Janus NPs in two Langmuir techniques, up-stroke and down-stroke modes; in the up-stroke deposition, the hydrophilic face was in direct contact with the substrate whereas the hydrophilic face was exposed and in the down-stroke deposition, an opposite configuration was obtained. (50) 30 Layer-by-layer (LbL) method - Layer-by-layer (LbL) assemblies using electrostatic interaction offer simple and flexible pathway for creating well-organized NP assemblies (52-54). The principle of the LbL assembly is quite simple; it consists of repeating cycles with sequential dipping of the substrate in oppositely charged materials. Most often, negatively charged NPs and positively charged polymers are used, having electrostatic attraction to each other are used. Additionally, other intermolecular forces such as coordination, covalent or hydrogen bonding can also lead to sequential layering. The LbL method is an effective technique to tailor the thickness of NP layers as well as to control the interactions between the layers. In addition, it is applicable to curved surfaces, for example core–shell architectures (55). However, despite the above-mentioned advantages, the LbL method remains to be challenging in the preparation of the self-assembled NPs structures with long range order due to the strong electrostatic interaction. DNA method - DNA-mediated assembly of NPs is an attractive way to organize NPs into periodic structures through the programmable DNA Watson-Crick base-pairing interactions and the ability to construct branched DNA nanostructures of various geometries. Recent success in using DNA as molecular glue to direct AuNPs into periodic crystalline lattices further demonstrates the power of DNA as a building block for selfassembly. Sharma et al. (56) reported that by the attachment of single-stranded DNA to AuNPs of various 3D architectures can form, ranging in shape from stacked rings to single spirals, double spirals, and nested spirals. Mirkin and coworkers (57,58) have demonstrated 31 the ability to control AuNPs rationally by directing the formation of large single- and binary NPSCs through programmable base-pairing interactions (Figure 1-9). Figure 1-9. Scheme of DNA-programmable NP crystallization. AuNP-DNA conjugates can be programmed to assemble into different crystallographic arrangements by changing the sequence of the DNA linkers. (57) 1.4. Ligand-stabilized AuNPs Ligand-stabilized AuNPs of a few nanometers in size are of fundamental interest for their chemical and quantum electronic properties, and of practical interest for many potential applications. In particular, AuNPs exhibit high chemical stability. In principle, they can be functionalized with almost any type of electron-donating molecule, including biomolecules (59). Beyond that a variety of protocols have been steadily developed to allow their assembly into multiple types in a controlled manner. Taken together, these facts have led to the development of design concepts for novel materials based on ligandstabilized AuNPs. 32 Some of the unique characteristics of metal NPs in general are melting point depression, which melt at lower temperatures than the same bulk material (Figure 1-10). For example, bulk gold has a melting point of around 1064 ◦C (60), and it is defined as an elemental specific property (61). Upon reducing the size, the melting point drops continuously, with AuNPs of ~ 2 nm exhibit a melting point of around 200 ◦C (62). It is understood that changes may occur to the thermodynamic and thermal properties of nanoscale materials due to the much larger surface-to-volume ratio compared to bulk materials. Another characteristic of AuNPs is optical property, which is responsible for the brilliant red color seen in stained glass windows. This effect is governed primarily by coherent oscillations of conduction band electrons at the NPs surface, known as surface plasmons (SPs) (63). SPs localized in NPs have the ability to strongly scatter and absorb light and to squeeze light into nanometer dimensions, producing large local enhancements of electromagnetic fields. The property is strongly influenced by the size, shape and the surrounding media of the NP. The SPs properties of AuNPs have been widely investigated in many potential applications including optical energy transport, chemical and biological sensors, surface-enhanced Raman scattering, near field scanning optical microscopy, and nanoscale optical devices (64). 33 Figure 1-10. A plot of the relative lowering of the melting for AuNPs vs the inverse NP radius. (62) An additional fundamental aspect of NPs is revealed in their electronic properties. Single NPs with sizes in the range of a few nanometers exhibit an electronic structure that corresponds to an intermediate between the continuous band structure of the bulk metal and the discrete energy levels of molecules. Individual metal NPs are allowed to handle individual charge carriers due to their small capacitance (which scales as the inverse of the NP radius) (65). As a result, electron flux onto and off of a NP is quantized in one-electron increments, leading to Coulomb blockade and Coulomb staircase phenomena in which current through a NP increases in a stepwise manner (Figure 1-11). As with optical properties, the conductivity profile of metal NPs is affected by the size, shape and the surrounding medium. 34 Structural determination of AuNPs has been complicated by the problem that particles are typically heterogeneous as synthesized. Electron microscopy (66), powder xray diffraction (67) and theoretical studies (68) have led to the idea that AuNPs would adopt closed geometric shells with crystalline packing. This would lead to defined core sizes such that the gold clusters would have a discrete number of atoms representing closed geometric shells. Recently, Zadzinsky et al. (69) reported the structure of pmercaptobenzoic acids (p-MBAs)-stabilized gold nanoparticle through X-ray analysis of single crystals. The resulting electron density map revealed a particle of 102 gold atoms and 44 p-MBAs (Figure 1-12). Figure 1-11. Single electron tunneling on a single ligand-stabilized Au55 cluster at 90K. The junction capacity was calculated to be 3×10-19 F by fitting. Coulomb staircase behavior is visible. (65) 35 Figure 1-12. X-ray crystal structure determination of Au102(p-MBA)44 NP. Electron density map (red mesh) and atomic structure (gold atoms depicted as yellow spheres, p-MBA shown as framework and small spheres sulfur in cyan, carbon in gray and oxygen in red). (69) From the above mentioned attractive characteristics, AuNPs have been a subject of intensive research because of the relative ease in the synthesis and chemical modification for many potential applications (70). Thiols have been the most popular choice of capping reagents for AuNPs because of a higher stability over alternative capping reagents, such as amines and carboxylates, which are weakly anchored to the Au particle core. It is clear from the above discussion that thiol chemistry as a means of surface functionalization of AuNPs has received considerable attention and is the method of choice in most studies. Indeed, the nature of the AuNP thiolate bond and the mechanism of ligand exchange 36 involving replacement of one thiolate species on the AuNP surface with another thiolate is fairly well understood (64). In particular, the stabilization of AuNPs with a 3D self-assembled alkanethiol monolayer was a direct result of advancement in the passivation of 2D gold surfaces using alkanethiols (71). In order to better appreciate and understand the packing, conformation, and composition of the surrounding ligand shell (3D SAM) of NPs, it is illustrative to consider 2D SAM's of thiol ligands on flat gold. On flat Au(111) surfaces, alkanethiols ligands tend to form fully-extended and highly ordered monolayers (Figures 1-13 and 1-14). The packing structure for 2D self-assembled alkanethiol on extended flat Au(111) surfaces is determined through competing electronic interactions between the Au substrate atoms and sulfur atoms as well as interactions between the ligand chains, with shorter chain packing structure more influenced by the substrate and longer chain by their interchain interactions (72). The tilt angle (~30 º) and twist of the molecules are optimized to allow for interlocking of the chain backbones, thereby maximizing vdW interactions between the chains while under the constraint of surface bonding at the Au lattice 3-fold hollow sites. 37 Figure 1-13. Schematic diagram of an ideal, single-crystalline SAM of alkanethiolates supported on a gold surface with a (111) texture. (72) Figure 1-14. Schematic diagram depicting the arrangement of decanethiol on Au(111) lattice. (a) Structural model of the commensurate adlayer formed by thiols on the gold lattice. The arrangement shown is a (√ ×√ )R30°structure where the sulfur atoms (dark gray circles) are positioned in the 3-fold hollows of the gold lattice. (b) Cross-section of the SAM formed from decanethiol. (72) 38 With respect to ligand conformation of alkanethiol ligands on AuNP, it is reported that the structure of a 3D alkanethiol SAM on AuNP is very similar to the well established models of analogous monolayers on the flat gold surfaces (73,74). The majority of the alkanethiol ligands on AuNP are observed in an all-trans zigzag conformation. Therein lies promise for a wide range of opportunities for study and use of the 3D SAMs by extending the lines of investigations used for 2D SAMs. Evidence has been found for defects at all alkyl chain lengths, in particular near the surface of the gold cluster and at the outer surface of the ligand skin. 1.5. Preparation of AuNPs Many synthetic protocols have been developed for the preparation of ligandstabilized AuNPs, allowing variation of size, shape and ligand shell composition. However, the need to control multiple parameters in current synthesis methods still represents a challenge to the preparation of uniform AuNP. Very comprehensive and extended overviews are given by Daniel & Astruc (64). Ligand-stabilized metal NPs are supramolecular assemblies consisting of a metallic core (often a polycrystal) coated with a 3D self-assembled monolayer of ligand molecules. The principle synthesis method is based on the reduction of metal salts by suitable reducing agents in the presence of ligand molecules, which form self-assembled monolayers on the NP surface and thus stabilize the NPs. The NP morphology often emerges from a result of a competitive growth of different crystallographic surfaces. This is typically achieved by 39 altering the relative growth rates of different facets by the selective localization of ligand molecules adsorbed at the NPs surface, but also by the modulation of nucleation and reaction parameters. The ligand molecules for AuNPs synthesis, besides the well-known citrate, are typically thiolates, phosphines and amines, among which the thiolates are the most intensively investigated owing to the strong binding character of thiol to gold compared with other capping agents (64,75). Figure 1-15 shows the various thiol-based ligand molecules used for the synthesis of gold NPs. Typical reducing agents used in the direct reduction route are citrate and sodium borohydride. The latter is the most frequently applied since Brust et al. (76) introduced a synthetic method in which a gold salt (hydrogen tetrachloroaturate) is reduced by sodium borohydride in the presence of an alkanethiol, yielding particles having average core diameters in the range of 2-8 nm. This reaction was first developed within a biphasic context, taking advantage of phase transfer compounds to shuttle ionic reagents in aqueous phase to an organic phase (Figure 1-16). Subsequent variations of this procedure demonstrated the full scope of this reaction, substituting a wide range of thiols and varying the ratio of reagents in order to control the average diameter of the products. In this case, better particle size control is achieved by varying the thiol/gold salt ratio and the addition rate of sodium borohydride. An one-phase synthesis route was also developed by Brust et al. (77), which allows working without a phase transfer agent and thus avoids the phase transfer step and further purification from the residual impurities of phase transfer compounds. 40 There are several issues to be addressed in the use of sodium borohydride as reducing agent for AuNPs synthesis. One is the difficulty in the controlling size dispersity, thereby there have been several studies aimed at getting more monodisperse particles from milder reducing agents. Zheng et al. (78) employed various amine-borane complexes of mild reducing ability in the AuNPs synthesis, which demonstrated better control of size dispersity. Furthermore, this approach allows the size of the NPs to be tuned within the range 1.9–5.2 nm, depending on the reaction temperature (Figure 1-17). Another disadvantage of sodium borohydride is its strong reducing capacity, which may cause it to undergo reaction with fuctionalized ligands. Thus, an alternative much milder reducing agent needs to be allowed for the synthesis of AuNP stabilized with the reactive functional group. Figure 1-15. Various thiols used for the generation of monolayer-protected AuNPs. (75) 41 Figure 1-16. Formation of AuNPs protected with alkanethiolates by reduction of Au(III) compounds in the presence of alkanethiols. (75) Figure 1-17. TEM images of different-sized AuNPs produced by varying reaction solvent (a-b) and temperature (c-f): (a) 2.1 ±0.3 nm; (b) 3.5 ± 0.3 nm; (c) 5.3 ± 0.4 nm; (d) 6.2 ± 0.3 nm; (e) 7.1 ±0.5 nm; (f) 8.3 ±0.5 nm. All scale bars are 20 nm. (78) 42 The modification of NPs by the incorporation of a functional group is of significance to potential applications of NPs (Figure 1-18) (64,79,80). The incorporation of multiple functional groups and moieties onto the surface of AuNPs can most readily be achieved by the ligand exchange method. This concept is promising, as it can allow control of the number and topology of functional groups on the particle surface. In the exchange reaction, the incoming ligands replace the pre-existing ligands on NPs by an associative reaction. The rate depends on the chain length and/or steric bulk the ligands, as well as the charge on the NPs. Various functional groups ranging from simple organic functional groups to functional complexes (electroactive or photochemical groups) can be incorporated into the NPs using ligand exchange reactions. Reactions through AuNPs were also frequently used for the incorporation of more specific organic groups and moieties having electroactive, photoresponsive, catalytic, mechanical, and biological properties. Besides the choice of the ligand and the reactions condition, there remains the challenge of gaining reproducible control over the particle size distribution. Much progress has been made over the past ten years on the synthesis of monodisperse NPs (5,14). However, although several chemical methods have been developed to synthesize monodisperse NPs of various materials, gaining a comprehensive understanding of how monodisperse NPs form is still very challenging. Some mechanistic studies have shown that monodisperse NPs are produced when the burst of nucleation that enables separation of the nucleation and growth processes is combined with the subsequent diffusion-controlled growth process through which the particle size is determined. 43 Figure 1-18. General scheme and examples of functionalized thiols for the ligand exchange reactions. (75) It is often desirable to reduce the NP size distribution because polydispersity can increase disorder in assemblies and broaden ensemble behavior. In size-selective precipitation, a post-synthetic method is used to narrow NP size distributions, in which a nonsolvent (miscible with the original dispersing solvent) is gradually added to a NP solution (81,82). At certain average solvent polarities, larger NPs are no longer soluble in 44 the solvent mixture and precipitate, narrowing the size distributions of both precipitate and supernatant. Monodisperse NPs can be obtained by redissolving the precipitate and repeatedly using the size-selective precipitation/redissolution steps. The size distribution of NPs during size-selective precipitation has been investigated by optical absorption and mass spectroscopy. Other techniques for narrowing the dispersity of NP size include heating (83), etching (84), annealing (85), and chromatography (86). The utilization of nontoxic chemicals, environmentally benign solvents, and renewable materials are emerging issues that merit important consideration in the development of synthetic strategies (87). For the synthesis of metallic NPs, an obvious approach is to take a metal salt in water and reduce it to the elemental metal. 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As the film is compressed, it may form quasi two-dimensional analogues of a gas, liquid, liquid-crystal, solid, or other phases depending on the surface density (1-8). A thermodynamic equation of state (compression curve) for the Langmuir layer relates the surface pressure to the area that the molecules occupy within the film, at equilibrium (9-12). It is clear that the Langmuir isotherm is an ideal situation, asuming an infinitely slow compression; in real films at finite compression rates, molecules tend to occupy larger areas than the equilibrium structure due to the development of space filling defects such as vacancies, dislocations, domain boundaries, etc (1-8). A common approach to anneal these defects and approach the idealized equilibrium curve is to apply pressures considerably higher than the equilibrium spreading pressure. The over-compressed monolayers can remain in a transient metastable state for extended periods of time, but ultimately relax towards the minimum energy configuration of the domain by annealing the defects (1-8,13). There has been a growing recognition for the functional significance of 51 equilibrium structures in the wide variety of materials for which Langmuir films are adopted (14-22). Here we focus on the case of ligand coated gold NPs self-assembled into ordered monolayer at the air-water interface and show that it is possible to devise annealing procedures to achieve an ordered structure closer to the equilibrium state. The self-organization of NPs opens a new and challenging area in nanoscience (23,24). We already know that NPs are a new building block of advanced materials that are expected to exhibit unusual chemical and physical properties (25,26). In particular, the collective properties of such mesoscopic assemblies differ from isolated NPs and the bulk phase (27). NPs self-assembly is a process governed by an interplay between inter-particle interactions of various natures such are core-core van der Waals and dipolar interactions as well as ligand shell interdigitation (28-33). Often, the result of this delicate balance between strong interactions is kinetically trapped self-assembled NPs structures (34-36). A distinctive feature of capping ligand (or polymer) interactions is the extreme sluggishness with which equilibrium is attained once the molecules are confined within a narrow space (37,38). Furthermore, it has been recently shown that as complexity in NPs system increases (e.g. binary particles supracrystals), the dynamics of self-assembly slow down, and becomes more heterogeneous (39-43). For these reasons, often NPs assemblies are kinetically trapped or blocked in local minima. Hence the need for annealing strategies such as thermal or vapor annealing approaches which have been developed recently (44-46). Here, we report an experimental approach for preparing self-assembled NPs monolayered structures through a Langmuir approach and then annealing them through over compression cycles. We show that monolayer defects disappear (as shown by increased long range order) 52 but also that ligand shell contribute to increased short-range order by (i) coverging towards and homogeneous interdigitation fraction and by (ii) compensating for NPs core size inhomogeneities. We conclude that to understand order in NP film one must consider the ligand shell as a dynamic object. 2.2. Experimental NPs synthesis – Dodecanethiol (DDT) -stabilized AuNPs were synthesized by modifying a method reported by Zheng et al to control the injection speed of reducing agents (47). The rationale for this modification is to separate nucleation from growth during particle formation (23,24). 0.25 mmol chlorotriphenylphosphine gold (AuPPh3Cl) was mixed with 0.125 mL DDT in 40 mL of benzene to form a clear solution to which 2.5 mmol of tert-butyl amine borane complex were then added in one portion. The mixture was stirred at 90 °C for one hour, then cooled to room temperature. 100 mL of ethanol was then added to precipitate the NPs. The precipitated NPs were collected by centrifugation and washed 3 times with a mixture of benzene and ethanol. The synthesized DDT-AuNPs exhibit particle size distributions with standard deviations (σ) of less than 7% of the mean particle diameter of 5.3 nm. Formation of NPs monolayer film - Langmuir NPs monolayers were prepared using a Langmuir trough (type 601M, NIMA Technology). The monolayer was spread by careful casting of a 0.2 mg/ml solution in mixed solvents of dichloromethane and hexane (vol 50:50) onto milli-Q water. The solvent was allowed to evaporate for at least 10 min prior to compressing the surface. The area of the monolayer was varied by moving a barrier with a 53 rate of 10 cm2min-1 across the water surface. The surface pressure was measured with the Wilhelmy plate method. After compressing Langmuir monolayer films to the desired surface pressure, they were transferred to solid substrates such as carbon-coated copper grids or silicon wafers by bringing the two into contact in the horizontal direction, a process known as the Langmuir-Schaefer method. 2.3. Effect of Compression in Langmuir DDT-AuNPs Monolayer Film Figure 2-1a shows a surface pressure versus area compression isotherm curve for the DDT-AuNPs monolayer during compression. As the area of the monolayer decreases, a unique phase transition identified with the slope change in the isotherm can be observed. Figure 2-1b shows representative TEM images of the Langmuir NPs films transferred to the substrates at various surface pressures. At low surface pressure, the NPs are packed in patches connected randomly with large void spaces. The NPs monolayer becomes denser with diminishing void spaces as surface pressure is increased. Monolayers at 18 mNm-1 exhibit an extraordinary degree of order over the centimeter scale. When the twodimensional film is compressed beyond this stability limit, its structure becomes so unstable, such that it gives rise to a transition from a monolayer to a multilayer, with (usually) an abrupt change of slope in the compression curves indicating collapse behavior, the process by which the monolayer transforms to a bulk phase (1-8). It is reported that the collapse phenomena formed in the compression process is highly irreversible and depends on various experimental parameters such as the nature of the molecules, compression rate, temperature, and pre-history of the monolayer itself (48,49). 54 (a) (b) Figure 2-4. (a) Surface pressure-area compression isotherm curve for the DDT-AuNPs monolayer. (b) TEM images of the NPs monolayer film structures transferred to the substrates at various surface pressure. Scale bar : 100 nm. 55 2.4. Stress Relaxation Behavior in Langmuir DDT-AuNPs Monolayer Film At times, uniform monolayer structures in the Langmuir method appear to be formed from one simple compression step under proper operation conditions, yet these structures are not stable at the air water interfaces, and can remain stable only when trapped on ‘harder’ interfaces where mobility is limited. The intrinsic instability of these films is typically revealed as the film is kept under constant area. A plot of pressure over time shows sudden drops followed by plateaus. This phenomenon is called surface pressure relaxation (50-54). The elucidation of the relaxation mechanisms is important for understanding not only molecular interactions occurring in the system but also the instability of the Langmuir monolayer, which is an essential parameter in this film processing (1-8). Figure 2-2a shows a surface pressure-time relaxation isotherm curve or a close-packed DDT-AuNPs monolayer compressed to 18 mNm-1 where this phenomenon can be clearly observed suggesting that the as-compressed monolayer is not in an equilibrium state. Fig. 2-2b shows that during relaxation process, the close-packed NPs domains undergo a transition resulting in a collapse phenomenon which may be due to a buckling instability, wrinkling or the formation and growth of cracks through various microscopic processes (15). 56 Figure 2-2. (a) Surface pressure-time relaxation isotherm curve for the DDT-AuNPs monolayer compressed to 18 mNm-1. (b) TEM images of the close-packed Langmuir NPs monolayered film taken before and after relaxation process. Scale bar : 100nm. We investigated relaxation behaviors of film achieved at the various surface pressures. Figure 2-3a shows the surface pressure versus time trace for a relaxation isotherm at room temperature. Three distinct relaxation regimes, prior to collapse, were observed. At very low surface pressures below 2 mNm-1, in region I on Fig. 2-3a, the relaxations are very quick-only a few seconds long. Little stress relaxation was observed in this low surface pressure regime I. This points out that no slow collective motions exist when the NPs remain isolated. In the pressure range from 4 to 10 mNm-1 ~ region II, relaxations become slow with decay times of a few hundred seconds. Overall changes in the surface pressure can be as large as 2-3 mNm-1 within each relaxation in this intermediate pressure regime. At higher pressure, in region III, the overall change of surface pressure in the decay process increases but the timescale remains mostly the same. In most cases, the decay process could not be described by a simple exponential or 57 algebraic expression. Finally, in region IV the monolayer collapses (see Fig. 2-3b) and relaxation times increase drastically. Figure 2-3. (a) Relaxation isotherm curves for the DDT-AuNPs film achieved at the various surface pressure. Each segment on the time trace corresponds to the relaxation in various surface pressures after a compression step. The four regions (I-IV) identified are discussed in the text. (b) TEM images of the NPs films corresponding to each region. The film structures were obtained from after reaching the plateau in each regions of the isotherm curve. Scale bar : 100 nm. 58 2.5. Effect of Compression/Relaxation Cycles in Langmuir DDT-AuNPs Monolayer Film As the scope of this work was to investigate NPs monolayer structures as close as possible to their true equilibrium, we excluded films that exhibited instabilities over time at the air-water interface, mostly those that would result in spontaneous collapse towards multilayers. Hence we achieved highly order structures through cyclic compression cycles of NPs monolayer at a relatively low surface pressure. We used constant surface pressure versus time as an indication of a close-to-equilibrium phase. An example of our approach is shown in Fig. 2-4. We first prepared Langmuir films by spreading NPs solution onto a water surface, then applied a certain surface pressure for the compression, here 12 mNm-1. Films were held at a constant surface area until they relaxed to the plateau region, followed by subsequent compression cycles at the same surface pressure. The result is that when going from first to second, and then third compression cycle, the NPs coverage goes from 84.7 to 99.8% (Fig. 2-5a). We believe that this is due to a progressive annealing of the structural defects, which is also indirectly confirmed by the increased surface pressure values of the plateau region observed in the further trials (Fig. 2-5b). Thus, Langmuir NPs structures obtained from the 3rd cycle of compression and relaxation at 12 mNm-1 exhibit an extraordinary degree of monolayer order without the accompanying collapse phenomena observed when compressing at 18 mNm-1. We should point out that even in this case particle vacancies, dislocation, and multiple grains were still observed (Fig. 2-5c), hence this process does not lead to an arbitrarily large single crystal. 59 Figure 2-4. Schematic drawing illustrating the preparation of the Langmuir NP monolayer through cyclic compression cycles at 12 mNm-1 (top) and surface pressure-time & area change-time curves for each step (bottom): (1) monolayer spreading – the NPs monolayer was spread by careful casting of a 0.2 mg/ml solution in mixed solvents of dichlorofmethane and hexane (vol 50:50) onto water subphase, (2) compression – the area of the monolayer was decreased by moving a barrier with a rate of 10 cm 2min-1. (3) relaxation – the compressed monolayer in (2) step is kept under constant area. In this process, surface pressure decays over time, followed by plateau, (4) cyclic compression processes in Langmuir NPs monolayer, accompanied by relaxation step. 60 Figure 2-5. (a) TEM images of NPs monolayer by compression cycles at 12 mNm -1. (b) Langmuir relaxation isotherm curves during cyclic compression cycles for DDT-AuNPs at 12 mNm-1. (c) High-magnification TEM images of DDT-AuNPs monolayer obtained from 3rd compression cycles. Scale bar : 100 nm. Motivated by the cyclic process in the Langmuir monolayer described above, we carried out structural characterization for DDT-AuNPs monolayers prepared by cyclic compression and relaxation under various applied surface pressures. The results are shown in Fig. 2-6. Here we show results prepared from the 3rd cycle at 10, 11, and 12 mNm-1 as 61 typical examples. 12 mNm-1 is the maximum surface pressure for the monolayer to exist stably through the 3 compression cycles. First, we emphasize that the spatial correlation of structural order on a macroscopic level is described by the radial distribution function (RDF) of its structure. We use the correlation distance ξ as a relevant order parameter for the structure’s long-range order. Figure 2-7 shows the RDF curves of the NPs structures shown in Fig. 2-6. One obvious trend is that NPs structures with equilibrium phases often tend to have longer correlation distances than as-compressed ones (see Table 1). We also note that, by the 3rd cycle the structure obtained at 12 mNm-1 has a much higher ξ implying significantly better longrange order. Another important structural feature in NPs assembly is that ligand shells interpenetrate in a process known as interdigitation (64-66). This phenomenon is one of the driving forces for the formation of supraparticle lattices leading to close-packed structures. Nothing in the particle assembly process imposes a spatially homogeneous distribution of interdigitation distances aside from the symmetry of the resulting lattice. Molecules in the ligand shell can encounter a molecule in another ligand shell in many different ways depending upon the NPs size/shape distribution and can easily become trapped in nonequilibrium configurations. To quantitatively evaluate the spatial and temporal distribution of the particles’ interdigitation we define the extent of interdigitation (E.I.) of ligand shell as where E.I. of i th NP = [ ∑ }⁄ { ] (1) is the center-to-center distance between pairs of NPs in the first nearest neighbors, for particles of diameter coated with ligands of length , and 62 is the number of the first nearest neighbors. Hence, once the inter-edge spacing between NPs is known, the amount of interdigitation can be defined. We have developed image analysis software capable of calculating and plotting the E.I. between any two particles. An example is shown in Figure 2-8, where the spatial distribution of the E.I. averaged over the first nearest neighbors is shown through a color coding of the original TEM images. The histograms for the distribution of the ligand E.I. values show a gradual shift as the film undergoes compression cycles. Analysis of the variance indicate that the variation in average values of the E.I. are statistically significant (α = 99%). These results indicate that compression cycles not only anneal defects in the crystal structure but also affect the pairwise particle interaction inducing a larger extent of interdigitation. Hence the compression cycle affects short-range order as well as long-range one. We believe that, upon relaxation, ligand molecules reorganize to a more stable arrangement that maximizes their E.I. and hence the enthalpy interaction with their nearest neighbors. 63 Figure 2-6. DDT-AuNPs monolayer obtained from 3 compression cycles at surface pressures of 10, 11, and 12 mNm-1; (a) Langmuir relaxation isotherm curves during compression cycles, (b) TEM images of DDT-AuNPs monolayer obtained from 3 compression cycles. Scale bar : 100 nm. 64 Figure 2-7. Structural order in NPs monolayer structures by the radial distribution functions (RDFs); (a) as-compressed to 18 mNm-1, (b to d) 3 compression cycles at 10, 11, and 12 mNm-1. The RDFs was calculated from the TEM data. The correlation distances of the NPs structures are listed in Table 1. Within correlation distance, the NPs are close-packed with a six-fold symmetry. Figure 2-8. Structural order in NPs monolayer structures by spatial distribution of the extent of interdigitation (E.I.) (top) and the histograms for the distribution of the ligand E.I. values; (a) as-compressed to 18 mNm-1, (b to d) 3 compression cycles at 10, 11, and 12 mNm-1. Here, the E.I. is averaged over the first nearest neighbors and shown as the particle color. See the color bars for meaning of the particle color. The average values for the spatial distribution of the E.I. values are listed in Table 1. Scale bar : 100 nm. 65 Table 2-1. Summary of structural order parameters for the NPs monolayered structures studied. Film Correlation distance (nm) Extent of interdigitation (E.I.) As-compressed to 18 mNm-1 81 0.46 ±0.04 3 compression cycles at 10 mNm-1 72 0.48 ±0.05 3 compression cycles at 11 mNm-1 90 0.49 ±0.05 3 compression cycles at 12 mNm-1 115 0.50 ±0.04 2.6. Role of the DDT Ligands in NPs Assembly Finally, it is worthwhile to critically analyze the role of the ligands in the NPs assembly. Figure 2-9 shows plots representing the averaged inter-edge spacings (inversely proportional to the E.I. according to equation (1)) between a NP and its six nearest neighbors as a function of NPs size in Langmuir NPs monolayer structure before and after compression. This plot gives a sense as to how strongly an approaching NP can differentiate one end of the NP from the other or, alternatively, how favorable inter-edge spacings can be. For example, the inter-edge spacings of the NPs monolayer structure before compression does not show their size dependence (Fig. 2-9a), whereas after compression we note that the smaller the NPs, the larger the inter-edge spacing, hence the larger the volume occupied by the ligands, which means less ligand interdigitation in this region (Fig. 2-9b). This finding suggests that in the NPs self-assembly process, ligand’ movements are actually correlated so as to keep the particles centers of mass of a lattice. Hence the soft corona that surrounds the particles plays a key role in forming an ordered 66 array. This result is in agreement with what was recently observed by Bockstaller for polymer coated particles (67). We suggest that it might be entropic in nature, as by keeping the particles centers of mass on a lattice, one avoids other particles, and especially ligand jamming, and hence maximizes the entropic freedom. Figure 2-9. A plot representing the average inter-edge spacings of a NP in NPs monolayer structures as a function of NPs size, which is averaged over its first nearest neighbors; (a) before and (b) after compression. 2.7. Summary In chapter 2, we have shown that it is possible to form ordered NPs monolayers through compression cycles using the Langmuir assembly method. These cycles affect both the long-range order in the crystal, by annealing out part of the defect, and the short range order by increasing the E.I. and making the array more homogeneous. Finally we have shown that the ligands play a correcting role, helping to repair and homogenize the NP array, by modulating their E.I. so as to act a buffer to the size polydispersity in the particle 67 cores. We believe that the approach shown here is a general one and should allow for indepth studies of 2D particle crystals. 2.8. References 1. G. L. 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Mater. 14, 194 (2002). 67. M. R. Bockstaller, R. A. Mickiewicz, E. L. Thomas, Adv. Mater. 17, 1331 (2005). 71 3. Ordering Behavior in the 2D Alkanethiol-Au NPSCs by Ligand Interactions 3.1. Introduction 2D ligand-stabilized NPSC networks generated via self-assembly provide an attractive and highly flexible route to the formation of surfaces with specific structural arrangements and functionalities (1-6). In particular, development of NPs synthetic chemistry and versatility of ligand molecules has long attracted the considerable attention of researchers, not only because it is intriguing intrinsically, but also as a way to control the broad range of configuration and properties of the NPSCs structures. However, although self-assembly represents a simple and efficient route to the construction of large and complex structures, understanding how this process works is not straightforward (7,8). Design of assemblies for 2D NPSCs has been pursued in two broad methodologies. One is control of the solution dynamic behavior exhibited by these systems (9-13) and the other reflects the integration of constituent components (14-20). Recently, as the selfassembling processes have been well understood, the design strategy has been increasingly focused on NP components and concerned with manipulating the structure of matter at the molecular scale. In fact, the crux of NP self-assembly ultimately may lie in the preparation of appropriate components. In particular, in designing components for NPs self-assembly, by considering the ligand shell as a dynamic object, the focus is importantly on application of these ligand molecules to the self-assembling problems. Which one will be formed (and which geometry 72 will it have) depends on the nature of the ligands and the geometry around the NP center. NPs can have unique binding sites; this, together with the geometry of the NP centers, will largely determine the discrete nature of the supraparticle assemblies. Therefore, detailed understanding of the complex role of ligands in NPs assembly becomes illuminating and crucial to control the order in NPSC assemblies. However, elucidation of how the ligands play a role in affecting the structural behavior of NPSCs remains largely incomplete. In this chapter, to simplify the question, we have studied the effect of the alkanethiol ligand chain lengths on the phase behavior of 2D Au NPSCs. In particular, the packing structure and conformation for the self-assembled monolayers (SAM) of alkanethiol on Au NP surface has been determined by various surface analysis techniques (21-24). With respect to ligand structures of alkanethiol ligands on AuNP, it is reported that the alkanethiol ligands on AuNP exhibit a very similar structure to the well-established models of analogous monolayers on the flat gold surfaces, in which the majority are observed in an all-trans zigzag conformation. Here we show that the packing organization of a 2D Au NPSCs array of alkanethiol ligands with different chain lengths varies with the subtle chemical changes in the system, leading to a transition between long-range ordered and short-range ordered (hereafter glassy) phases. We reveal this phase behavior using image analysis and measure the variation using a radial distribution function which can provide the correlation length, allowing a quantification of the degree of ordering in the array. The balance between order and glassiness is driven by small differences in intermolecular interpenetration, which can be related by a ligand conformational study to the experimentally measured interparticle 73 spacing results. Significant phase variations occur with very small ligand conformation differences that stabilize the network, which highlights the delicate balance between entropic and energetic effects in complex NPs self-assembly processes. 3.2. Experimental NPs synthesis - Alkanethiol-stabilized AuNPs were synthesized in the same way described in chapter 2.2 (25). 0.25 mmol chlorotriphenylphosphine gold (AuPPh3Cl) was mixed with 0.75 mmol alkanethiol in 40 mL of benzene to form a clear solution to which 2.5 mmol of tert-butyl amine borane complex were then added in one portion. The mixture was stirred at 90 °C for one hour, then cooled to room temperature. 100 mL of ethanol was then added to precipitate the NPs. The precipitated NPs were collected by centrifugation and washed 3 times with a mixture of benzene and ethanol. The synthesized alkanethiolstabilized AuNPs exhibit the same average mean diameter of ~ 5nm with standard deviations of less than 10%; All of the corresponding particle size distribution data shown in Table 3-1. Formation of NPs monolayer film - Langmuir NPs monolayers were prepared in a similar way as to that described in chapter 2.2. After spreading the 0.2 mg/ml NPs solution in mixed solvents of dichloromethane and hexane (vol 50:50) onto milli-Q water, the formed NPs monolayer was compressed by moving a barrier with a rate of 3 cm2min-1 across the water surface. The surface pressure was measured with the Wilhelmy plate method. After compressing Langmuir monolayer films to the desired surface pressure, they 74 were transferred to the solid substrates such as carbon-coated copper grids or silicon wafers simply by bringing the two into contact in horizontal direction, a process known as the Langmuir-Schaefer method. Table 3-1. Summary of particle size distribution results for the synthesized alkanethiolAuNPs with different chain lengths. Chain length Particle size distribution (nm) 10 5.1±0.4 11 5.0±0.4 12 5.6±0.4 15 5.5±0.4 16 5.3±0.4 18 5.0±0.4 20 5.0±0.3 Infrared spectroscopy – NPSCs prepared on gold-coated mica substrate were used for the measurement. Infrared (IR) spectra were acquired using a Nicolet Continuum FT-IR Microscope (MCT detector) equipped with movable stages for spatial measurement. Spectra were collected in the reflection mode with an unpolarized beam, at a resolution of 2 cm-1 with 128 scans, a size of 100 × 100 μm2 and a spectral window of 4000 – 600 cm-1. 75 The IR sample was purged continuously with dry nitrogen and maintained at room temperature for 20 min before a spectrum was acquired. Background spectra of the clean substrate were collected and subtracted from the sample spectra at the room temperature. 3.3. Structural Phase Behavior for 2D Supracrystal of Alkanethiol-AuNPs To achieve 2D alkanethiol Au NPSCs, we used the Langmuir assembly method. In chapter 2, we showed that successive compression/relaxation cycles through Langmuir processing support the uniformly close-packed monolayer structure and renders the whole assembly more homogeneous. An example of our approach is shown in Figure 3-1. We first prepared Langmuir films by spreading NPs solution onto a water surface, then applied the required surface pressure for the compression (here 13 mNm-1) after which the films were held to a constant surface area until they relax to the plateau regions, followed by compression cycles at the same surface pressure. It is noted that the effective area decrease was followed (continuously) over the course of cycles (black curve in Fig. 3-1). The transition proceeds rapidly at first (possibly through transient structures), but then it becomes gradually inhibited, showing less macroscopic structural evolution due to interactions between ligand molecules in selfassembled NPs structures. This is also indirectly confirmed by the increased surface pressure values of the plateau region that we find in the further trial (blue curve in Fig. 3-1). It was found that Langmuir NPs monolayer structures were able to be much uniformly corrected by annealing them through successive multiple compression cycles, from 76 structures with kinetically trapped or blocked local minima to those having increased long range order and homogeneous interdigitation fraction (26). During each cycle, the NPs structures overcome the remaining potential barriers at the local trapped sites, and the structure evolves toward the lower configuration energy sites. We believe that this is due to a progressive annealing of the structural defects via ligand reorganization through the successive stress relaxation processes in self-assembled NPs structures. Figure 3-1. Langmuir relaxation isotherm curves during compression cycles. The area (black curve, left axis) and surface pressure (blue curve, right axis) versus time during Langmuir film processing through successive compression cycles. 77 For the investigation of the structural behavior for 2D Au NPSCs according to the chain length of alkanethiol ligand molecule, we obtained TEM images of the NPSCs, and analyzed them through in-house software in order to visualize the corresponding representations of color map (spatial variation) (Figures 3-2a and 3-2b). Here, each NPs are represented by a sphere colored (different color) according to its orientation. All TEM image measurements were conducted at the same magnification scale (×27,000). As illustrated in Fig. 3-2b, it is clear that there is an identified continuous variation in the NP structures with increased chain lengths, and demonstrating the corresponding decrease in the domain sizes of ordered phases. Further analysis of our images corroborates explicitly the variation between the corresponding structural phases. We converted the experimentally determined large-area NPSCs structures shown from TEM images (Figure 3-2a) into fast Fourier transform (FFT). The result shows a clear difference of the resulting characteristic patterns (Figure 3-2c), which varies from discrete dot patterns on the left to diffuse halo pattern on the right through the continuous ring patterns in the midway. As discussed above, the representation indicates the spatial variation in a less ordered fashion in the NPSCs structures with the increased number of chain lengths, which is associated with the translational and rotational symmetry breaking in structures with the transition to the less ordered phase. Lastly, to represent the quantitative degree of order for the structural determination, we have done the radial distribution function tests for those structures, which also illustrate the spatial variation to the less ordered phases by showing the smaller correlation distances as chain length increases, consistent with the structural analysis results (Figure 3-2d). 78 Figure 3-2. Structural phase behavior 2D alkanethiol-Au NPSCs. (a) TEM images, (b) grain size analysis, (c) FFT patterns, and (d) radial distribution function (RDF) results for 2D alkanethiol-Au NPSCs. Scale bar : 100 nm. 79 3.4. Interparticle Spacing Results for 2D Supracrystal of Alkanethiol-AuNPs It is clear from Figure 3-2 that different chain lengths of alkanethiol on AuNPs give rise to NPSC arrays with varying degrees of order. These results show that phase variation from small modifications of chain lengths lead to the exploration of the space of intermolecular regions between NPs. In particular, it is known that when alkanethiolstabilized AuNPs assemble, their ligand shells interpenetrate (27-30). This phenomenon is one of the driving forces for the formation of NPs lattices leading to close-packed supracrystal structures. For the alkanethiol ligands considered here, we note that the structural integrity of the alkanethiol retains the conformation form in the predominantly fully-extended state in intermolecular penetration regions during the NPs assembly process; details of the experimental ligand structure are provided and further discussed in the chapter 3.5. If the ligand molecules are interpenetrated as fully-extended, the interparticle spacing values are considered to have the ranges of between one and two ligand span lengths. Thus, in this case, if the value of interparticle spacing and ligand layer are given by d and l respectively, their difference, given by ∆ (∆ = d – l), would have the positive value in the ranges of between 0 and l. However, the NPs regions of negative ∆ would be present in the case if the particles approach to less one ligand span layer. Conversely, in this case the ligand molecules cannot have fully-extended conformation, leading to being folded in some extent within NPs regions. To characterize the parameter ∆ in NPSCs structure with respect to the chain length, first, the interparticle spacing data are mapped from the observed structures. Figure 3-3a 80 shows the histogram of interparticle spacing distribution data from the mapping results plotted against ligand chain length. Additionally, to determine the degree of ligand interpenetration depending on the chain length, the ligand chain lengths are placed on the histogram (indicated by vertical red dot lines); for the ligand lengths, the values for fullyextended structures were used with tilt angle of between 36 ºand 42 ºrelative to the gold NP surface normal depending on the chain length (31). Figure 3-3. Interparticle spacing results for 2D alkanethiol-Au NPSCs. (a) Interparticle spacing distribution for 2D alkanethiol- Au NPSCs. The red lines in the diagram represent one (left) and two (right) ligand span lengths, respectively. (b) Plots representing the average inter-edge spacings of a NP in 2D NPSC structures as a function of NP size, which is averaged over its first nearest neighbors. The following noticeable results were obtained from Fig. 3-3a: (i) in all NP samples investigated, the shift of ∆ values to more negative occurs with increasing chain length. This finding clearly demonstrates that ligand conformational behavior in intermolecular 81 interpenetration regions varies continuously with chain lengths, thereby creating a different local environment around NP core; (ii) for n=10 and 11, all interparticle spacing results are distributed within l and 2l (i.e. positive ∆ in every NP regions). Here, fully-extended network is favored, which indicates that structural integrity of the alkanethiol is maintained intact within the interpenetration regions during formation of the structures, and (iii) in sharp contrast, from n=12, we note that at the longer chain length the fraction of negative ∆ is getting more pronounced in interparticle regions. To investigate the relationship between the interparticle spacing and NPs size depending on the chain lengths is of particular interest. The numerical results in Fig. 3-3b provide a relationship between the averaged interparticle spacings between an NP and its first nearest neighbors as a function of NP size in the monolayer structures. This plot gives a sense as to how strongly an approaching NP can differentiate one end of the NP from the other or, alternatively, how favorable interparticle spacings can be. For example, we typically observe that the NP size is inversely proportional to the interparticle spacing. This finding suggests that in the NP self-assembly process, ligands’ movements are actually correlated so as to keep the particles centers of mass to a lattice. Hence the soft corona that surrounds the particles plays a key role in forming an ordered array. We suggest that it might be entropic in nature as discussed in chapter 2, as by keeping the particles centers of mass on a lattice, one avoids particles and especially ligands jamming and hence maximizes their entropic freedom. However, such dependence becomes gradually diminished in the NPs structures of an increased chain length with exhibiting less correlation in the behavior. As illustrated 82 above, the inverse relationship between the interparticle spacing and NPs size is the key feature that underlines the performance of the entropic nature by ligand interactions for the formation of NPSCs structure. This point is further discussed below. The NPs, unfettered by other NPs, are free to sample many more conformations, however in a supracrystal, NPs are constrained to close proximity because of the presence of other nearby their architectures. In NPs assembly, the ligands of the NPs drive the translational and rotational order of the NPs in the supracrystal. However, this constrained environment leads to the ligand’s encounters with ligand molecules of other neighboring NPs, as a result the degrees of freedom of the ligand movements are severely restricted. It seems that the ligands conformational behavior resulted in this process (here, whether chain is fully-extended or folded) may be an important way to bring the extent of ordering in phase to assembled NPs structures. Especially, in the sense that the NPs structures configuration is determined solely by maximizing the configurational entropy, upon chainfolding, the number of ligand chain configuration that can be adopted become limited and lead to a loss of configurational entropy. It is noted that ligand conformation differences may be associated with the ordering behavior of NPSCs structure formed with interactions of the corresponding ligand molecules. For example, at the chain lengths of n=10 and 11, all NPs regions have positive ∆, indicating that the NPs structure is dominated by fully-extended ligand networks, exhibiting a high ordered phase. As the chain lengths increases, the fraction of negative ∆ in NPs structure becomes more pronounced, which leads the system to undergo a transition to a less ordered phase due to larger amounts of folded chain bonds in NPs structure. We 83 reiterate the analogy in which variations from ordered to less ordered phases occur when the absolute value of interparticle spacing is decreased below one ligand span length (i.e. chain-folded). Accordingly, we measured the extent of ligand interpenetration and found excellent matching with the ordering behavior in the phase of the NPSCs structure. This result provides strong support for our analysis and confirmation that what range of NPSCs structures is formed can be understood in terms of what the extent and perfection of ligand structures are. From our experiments it is clear that phase variations in the alkanethiol Au NPSCs structure is attributed to the conformational changes of ligand molecules in the network. In addition, this result highlights the role of entropy in ligand molecular networks in the balance between order and disorder in NPSCs structures. Additionally, other possible mechanisms to affect the structural behavior of NPSCs were taken into consideration for the analysis: 1) Change of tilt angle – It is known that the tilt angle is determined by the competition between the potential energy and entropy contributions to the free energy. The potential energy contribution favors the tilting of the molecule (i.e. lying down) whereas the entropy contribution favors zero tilting (i.e. standing up) due to larger available volume for conformational changes. Especially, because the entropic freedom by ligands movement to correct NPs dispersity in the self-assembly process of alkanethiol-AuNPs is observed to play a crucial role, the increase of tilt angle of ligand molecules in the process is unlikely to happen. Additionally, that the isotropic symmetry of the particle through ligand interpenetration with neighboring particles is expected to lead to a long-range ordered NPSCs structures for assembly supports that 84 ligand interpenetration process is more likely to happen in the NPs assembly, 2) Ligand desorption – Thiol self-assembled monolayers (SAMs) on surfaces of NPs present features different to those of planar Au substrates due to curvature effects and to the large density of substrate defects. Especially, we speculate that the large number of non-coordinated sites of the defective surfaces allows a higher surface coverage of ligands and stronger chemisorption of the S head to the Au surface than them for planar Au substrate. Additionally, from differential scanning calorimetry (DSC) experiment, thiol-thiol interactions show the corresponding increase with the increase of chain length of alkanethiol molecules. Based on these two experimental results, the ligand desorption is unlikely to happen in the NPs assembly process. 3) Monolayer crumpling – To check monolayer crumpling by compression of monolayer in Langmuir processing, the mapping result of NP size distribution at many different positions was investigated, which shows very homogeneous NPs size distribution over the NPs surface, indicating no crumpling in NPs monolayer structure. 3.5. IR Study for Ligand Conformational Behavior in 2D Alkanethiol-Au NPSCs Lastly, for a complete microscopic description of the ligand conformation in the NPSCs, we undertook Fourier transmission infrared (IR) spectroscopy. In particular, the very detailed study on the conformational behavior of straight chain alkane hydrocarbons and 2D self-assembled alkanethiol monolayers on flat Au surfaces allowed a fairly complete set of mode assignment to be found in the IR spectra of 3D alkanethiol on AuNP 85 surface (32-38). The details of the spectrum analysis obtained from NPSCs are provided in the following. First, symmetric (d+) and antisymmetric (d-) CH2 stretching vibrations in the ν(C–H) region between 2800 and 3000 cm-1 have been used as a sensitive indicator of the degree of alkyl chain ordering (39-44). In particular, a crystalline micro-environment of alkyl chain in alkanethiol self-assembled monolayer on AuNPs is reported to be determined by the dpeak lying between 2918 and 2920 cm-1 and d+ peak between 2848 and 2850 cm-1. We have examined the C–H stretching regions of the alkanethiol- AuNPs with chain lengths of n=10, 12, 16, and 20 in which both the antisymmetric d- and symmetric d+ peaks are located within the regions for our 3D SAM system (Figure 3-4), identifying that the alkanethiol ligands studied here predominantly exist in an all trans zigzag conformation. However, it is found that for n=20 d- value slightly deviates from the border, presumably with a higher density of gauche defects. Figure 3-4. IR spectra in (a) ν(C–H) regions and (b) average peak position of d- and d+ CH2 stretching vibrations of alkanethiol- Au NPSCs. 86 The ν(C–C) region contains additional information about the conformational behavior of the alkane chain. The spectra for alkanethiol- AuNPSCs in the region are shown in Figure 3-5a. The band at ~1065 cm-1 is assigned as the νa(C–C)t, and the band at ~1125 cm-1 is assigned to the νs(C–C)t (45,46). Another spectral feature in this region is the band indicated by • in Fig. 3-5a. The band appears at ~1074 cm-1 for n=10, 1080 cm-1 for n=12, 1097 cm-1 for n=16, and 1105 cm-1 for n=20. Even though this band is clearly not identified yet, this band is not known as the gauche defect band (46). We note that for n=20 the longest chains studied, it is observed that there are pronounced detectable amounts of gauche defects. To further examine the defect structure in ligand chain, we have investigated the relevant defect-related bands in the whole IR spectral region. Figure 3-5b shows the spectra of ν(C–S) region in which no detectable intensity of bands ascribable to gauche defect, ν(C–S)g, at ~ 655 cm-1 is observed, suggesting that there is no detectable defects at surface regions. The literature describes several important sets of bands in the spectral region between 1200 and 1400 cm-1. Especially, there are several bands which can be assigned either end-gauche defect or internal kink defects in the regions. Snyder reported that there are four bands between 1300 and 1400cm-1 which can be assigned to defect structures and whose peak values are approximately independent of alkyl chain length to within 5 cm-1; these bands are found at ~1345 cm-1 for a chain end-gauche defect, 1366 and 1306 cm-1 for an internal kink defect, and ~1353 cm-1 for a double gauche defect (38). In our samples studied here, the presence of an end-gauche defect band, found at ~1342 cm-1, and internal kink defect band, found at ~1367 cm-1 were observed. Qualitative defect amounts are 87 obtained from the relative intensity ratio of the ~1377 cm-1 used as an internal yardstick. Interestingly, whereas the intensity of internal kink defect band (~1367cm-1) gradually increases with chain length, that of end-gauche defect band (~1342 cm-1) increases with chain length up to n=16, whereupon it decreases at n=20 (Figure 3-5c). No evidence was obtained of any other defect types. These IR results plausibly rationalize the chain folding behavior observed for alkanethiol- Au NPSCs: (i) the majority of alkanethiol ligands are in all-trans zigzag conformation, (ii) considering that the alkanethiol ligands are bonded to a highly curved surface, the outermost groups will have more freedoms than those near the core, resulting in higher concentrations of end-gauche defects and increased chain folding at the end regions, and (iii) with increasing chain length, the extent of chain folding progresses in a ligand chain, so that the defect regions appear to propagate from the end regions to the inner regions of the chains. Figure 3-5. IR spectra in (a) ν(C–C) and (b) ν(C–S) regions of alkanethiol- Au NPSCs. (c) Plot of the ratio of intensity of the band at ~1342 cm-1 (square) and ~1366 cm-1 (circle), ascribable to end-gauche defect and internal kink defect respectively, to the sum with the band at ~1377 cm-1 as a function of chain lengths for alkanethiol. 88 3.6. Summary Our study demonstrates that the ligands play a crucial role in affecting the long range ordering behavior of self-assembled 2D NPSCs structures. We have shown that the organization of a 2D NPSC array of alkanethiols varies with subtle chemical changes in the system between ordered and glassy phases, which is driven by small differences in intermolecular interpenetration. Especially, our experiments give clear limits on the tolerance of the ordered phase to symmetry breaking: the more chain folding in ligand conformation induced from the interparticle spacing of less than ligand one span length will drive the NPSC structures into a less-ordered phase. In addition, our work highlights the role of entropy in the balance between order and disorder in self-assembly process of NPSCs structures. 3.7. References 1. C.P. Collier, T. Vossmeyer, J.R. Heath, Annu Rev. Phys. Chem. 49, 371 (1998). 2. A. Dong, X. Ye, J. Chen, C.B. Murray, Nano Lett. 11, 1804 (2011). 3. J. 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Self-assembly of Amphiphilic NPs into 2D NPSCs by Langmuir Method 4.1. Introduction An amphiphile, a molecule that contains both hydrophilic and hydrophobic parts, can self-assemble in solution or at an interface to form diversified molecular assemblies such as micelles, monolayers, and vesicles by the repelling and coordinating action between the hydrophilic and hydrophobic parts to the surrounding environment (1,2). Since amphiphilicity is the chemical basis of self-assembly, if the amphiphilicity of building blocks can be tuned, the process of the self-assembly can be controlled to some extent. Recently, this self-assembly principle has been anticipated to be applied to ligandcoated NPs system to provide a new and simple route for a controlled self-assembly of such particles into unique hierarchical self-assembly structures (3-5). In particular, NPamphiphiles are a new class of nanomaterials that, along with other NPs-based selfassembling nanomaterials, are finding potential applications in many fields. This is due to their ability to self-assemble into a unique set of well-defined structures, the chemical diversity which can be tolerated within this nanostructure, and their ease of synthesis. In chapter 4, we have studied the self-assembly of amphiphic AuNPs into 2D NPSCs by Langmuir method at air-water (A/W) interface. Here, amphiphilic NPs are made by directly introducing hydrophobic and hydrophilic ligands, 1-hexadecanethiol (HDT) and 11-mercaptoundecano-1-ol (MUOL) respectively, to the NPs synthesis. This reaction yields 92 AuNPs coated with a mixture of HDT and MUOL, and the ratio of the two species is determined by the ratio of the reactants and the solvent media present in the reaction mixture. As for ligand configuration, our previous work reported that the combination of these ligand systems tends to phase separate into stripe-like domains on the AuNP surface (6-8). Here we find that the amphiphilic NPs exhibit cooperative, coupled self-assembly at A/W interface. Notably, under self-assembly into 2D NPSCs, the amphiphilic mixed ligands of HDT and MUOL-coated NPs are self-organized into distorted hexagonal structures with anisotropic symmetry, whereas purely hydrophobic homoligand HDTcoated NPs into close-to-isotropic crystal with high symmetry. The relationships and parameters for structural analysis of NPSCs by Fourier transform images of Transmission Electron Micrographs (TEM) are summarized, and then used to explain certain changes in the self-organization. This work demonstrated for the first time that anisotropic 2D NPSCs from closely spherical NPs can be formed through the cooperative self-assembly via ligand engineering of NPs. Furthermore, we demonstrated that the anisotropic morphology of NPSCs shows unique tunability for optical absorbance response, emphasizing the importance of the selfassembly structure and NP arrangement. 93 4.2. Experimental NPs synthesis: NPs were synthesized using a slightly modified procedure described in the chapter 3.2. Briefly, to 20 ml of mixed solvents of benzene and pentanol, 6.25 mM of AuPPh3Cl were dissolved with 18.75 mM of total thiolated molecules in the desired stoichiometric ratio. 62.5 mM tert-butyl amine borane complex were added, and the mixture was stirred at 90 °C for one hour, then cooled to room temperature. Particles were precipitated with acetone and centrifuged for three times. The synthesized AuNPs exhibit average mean diameter of ~ 4.3 nm with standard deviations of less than 10% (Table 4-1). Table 4-1. Summary of particle size distribution results for the synthesized AuNPs used in this study. Ligand Particle size distribution nm) HDT 5.3±0.5 HDT2MUOL1 4.3±0.5 HDT1MUOL1 4.3±0.5 HDT1MUOL2 4.1±0.5 MUOL 4.2±0.5 Formation of NPs monolayer film: Langmuir NPs monolayers were fabricated in the same way described in the chapter 3.2. 94 Optical absorbance measurement: Measurement of the optical absorbance has been performed on a conventional spectrophotometer (Agilent 8453) equipped with rotational stages for angular measurement in the wavelength interval between 400 and 800 nm. The linear-polarized light was perpendicular to the plane of incidence and the sample was mounted on a mechanically rotational stage (Thorlabs). For the measurement, the NPs samples were deposited on a quartz microscope slide substrate (Ted Pella) and the bare substrate was used as the blank. 4.3. Self-assembly of Amphiphilic NPs into 2D NPSCs by Langmuir Method To carry out our studies we synthesized monodisperse AuNPs of ~4.3 nm in size, closely spherical in shape, and coated with binary mixtures of HDT and MUOL of varying ratios and then assembled NPs into 2D NPSCs structures at A/W interface using Langmuir assembly method through multiple compression cycles. Across compositions, we found that in films the NPs form compact hexagonal 2D arrays and are had very similar coverage on the substrate. We first focus on the TEM results. A series of TEM images and the corresponding fast Fourier transform (FFT) patterns are shown in Figure 4-1 for the NPSCs structure. To assess the effect of the ligand shell composition and/or pattern on the structure of the 2D crystal we studied a series of NPs as shown in Table 1 including the homoligands (HDT or MUOL, respectively) ones. Interestingly, although based on TEM images the overall NPs structure seemed to look similar under all conditions, it is found in FFT patterns that moving along a compositional axis leads to a discrete tuning of the corresponding Fourier 95 transform images, suggesting that the hexagonal packing arrangements of NPs are distorted. In particular, the degree of distortion in particle lattice structure was determined by the eccentricity (e) values obtained from the fitted FFT patterns, which are computed through the evaluation of the spacing between axes in a given image. The eccentricity of the fitted FFT patterns are between 0 and 1, and as the value approaches to zero, the FFT pattern shape becomes close to circular, indicating the NPs structure shows close-to-isotropic crystal with high symmetry of an equilateral hexagonal lattice. The axis lengths and eccentricity values analyzed from the FFT patterns are summarized in Table 4-2. To begin with, of particular interest is comparing e for NPSCs of each homoligand NPs system in spite that the value for homoligand NPs system is rather small. For example, while the e of HDT NPs system is close to zero, for those of MUOL NPs system they happen to have a little bit higher e values of FFT patterns with becoming slightly asymmetric NPs lattice structure. For MUOL NPs system, there are a few possible reasons to lead to NPs phase of asymmetric attributes in the assembly: (1) introducing hydroxyl (– OH) group in the alkyl chain makes the MUOL ligand structure to have non-uniform configuration compared to the HDT ligand structure of all alkyl chains system; (2) considering that water-insoluble particle core together with ligand shells of hydrophilic end group, MUOL NP itself may be considered as amphiphilic NP whereas HDT NP is purely hydrophobic NP; (3) the hydroxyl end group has high affinity with water surface to enable to interact strongly with water molecules via hydrogen bonding while the alkyl chain interacts weakly with the water molecules, and (4) the repulsion from the end hydroxyl groups of ligand is maybe considered to perturb isotropic interactions in NPs self-assembly. 96 Figure 4-1. TEM results of 2D NPSCs structures of AuNPs coated with HDT and MUOL with the varied ratio of ligand compositions; (top) TEM images, (bottom) FFT patterns. Scale bar : 100 nm. Table 4-2. Axes values and eccentricity obtained by the fitted FFT patterns of NPSCs structures. Major Axis Minor Axis Length (a) Length (b) (pixel) (pixel) HDT 205.496±0.292 HDT2MUOL1 b/a Eccentricity* (e) 205.104±0.451 0.998±0.001 0.061±0.013 229.829±0.113 218.737±1.677 0.952±0.008 0.306±0.024 HDT1MUOL1 230.737±0.634 221.907±0.010 0.962±0.003 0.274±0.009 HDT1MUOL2 231.309±1.129 226.991±0.401 0.981±0.007 0.191±0.034 MUOL 242.030±3.173 239.881±2.517 0.991±0.003 0.132±0.019 Ligand * e=√ ( ) 97 Typically, we find higher e values for mixed ligands NPs system than their constituting homoligand NPs ones. Indeed, the HDT2MUOL1 NP system shows the FFT patterns elliptical to a significant extent and the corresponding e value greatly increases by up to a factor of 5 compared to HDT ones, leading to unique anisotropic NPs crystal structure. In addition, it must be stressed that the relative ratio in the mixed ligand shells appears to have an intriguing effect on the e’s; the range of e varies from 0.191 to 0.306 depending on the mixed ratio used in this study. Importantly, the fact that in mixed ligand shells the relative amounts of hydrophilic parts higher the e values become lower counterbalances the previous consideration that hydrophilic ligand MUOL NPs systems have higher e values than hydrophobic HDT ones. This implies that there would be more complexation associated with the mixed ligands NPs in addition to the amiphiphlicity in the process to lead to unique NPs phase. As noted above, the mixed ligands NPs produce non-ideal phase behavior of 2D particle assembly which behaves in different way observed for homoligand NPs system. It is expected that not only such a subtle balance between hydrophobic and hydrophilic parts of the ligand molecule but also association with water surface gives the NPs assembly unique phase behavior. We have studied from our previous work that ligand interpenetration play a major role in the formation of 2D NPSCs of alkanethiol-coated AuNPs and to investigate on the interrelationship of interparticle spacing with other structural parameters (e.g. particle size, ligand length) is a characteristic way to understand the structural characteristics of 2D NPSCs. On the basis of these findings, in Figure 4-2 we plotted interparticle spacing along 98 with eccentricity as well as correlation distance as a function of mixing ratio for HDT and MUOL. Even if all the properties show a non-ideal change at a mixing concentration between two ligands, notably in every case they show remarkably similar trends, confirming that the unique anisotropic NPs crystal structure is driven by a cooperative way combined by various competing interactions operating in the self-assembly process. Figure 4-2. Plot of interrelationship between interparticle spacing, eccentricity, and correlation distance measured in the NPSCs structures. 99 4.4. Optical Characteristics Induced by Anisotropic NP Packing into NPSCs To demonstrate the practical usefulness of anisotropic supraparticle structure, we have measured the interactions of surface plasmons with light in the NPSCs structures. The interaction of light with AuNPs assembly structures leads to novel phenomena mediated by surface plasmon excitations (9-11). In particular, it is expected that anisotropic supracrystal structures of AuNPs may possess many unique features such as both tunable frequency and strength of plasmonic response due to the anisotropic packings of particles. Interestingly, we observe the strong modulation in the angular dependence of the plasmon response in NPSCs of HDT2MUOL1 NPs, the case of an anisotropic NPs lattice structure. Clearly, the HDT2MUOL1 NPs breaks the isotropic symmetry in the NPSCs, generating such an angular modulation in plasmon response. Indeed, the intensity pattern becomes oscillating for NPSCs of HDT2MUOL1 NPs while no dependence is observed for them of HDT NPs (Figure 4-3). Figure 4-3. Normalized absorbance intensity at 572 nm as a function of the rotation angle of NPSCs to the polarized light beam. 100 4.5. Free Energy Contribution of Mixed Ligands Effects for Self-assembly of NPs into 2D NPSCs by Langmuir Method As mentioned above, the self-assembly of amphiphilic NPs coated with mixed hydrophic and hydrophilic ligands by Langmuir method induce the supracrystal growth with unique phase behavior, which provide new opportunities to engineer NPSCs possessing specific functionality and physical properties dictated by the unique packing of these particles. Therefore, a thermodynamic understanding of phenomena involved in the self-assembly into 2D NPSCs, such as transfer of NPs to A/W interface, interfacial energy, chain packing, and sterics etc., is of fundamental importance in arriving at the right composition and control of the system involved. In particular, in this section, free energy contribution of mixed ligands effects of NPs in the assembly into 2D NPSCs by Langmuir method is discussed: (1) chain packing free energy, and (2) interfacial free energy with water contact. (1) Chain packing free energy – The chain packing free energy is mainly governed by the enthalpic interactions between NP ligands and the entropy associated with the ligand chain conformation: First, the enthalpic interactions of self-assembly of the amphiphilic NPs are determined by the interfacial energy of the hydrophilic-hydrophobic ligand interface and the repulsive energy of the hydrophilic groups. Thus, for NPs coated mixed ligands of HDT and MUOL, the hydrophobic HDT and hydrophilic MUOL parts are balanced by interfacial and repulsive energy. Thus, in particular, if the formation of NPSCs is regarded primarily as an enthalpy increase (i.e. highly exothermic process), the particles can have some structural flexibility so that they can adjust to the different geometries of the 101 supracrystal structures depending on the configuration and the nature of the constituting ligands. Second, the entropy increase on the particle assembly into NPSCs formation may arise from the increase in conformational flexibility of the ligand chains. When ligands interpenetrate in NPs self-assembly, the conformational behavior such as orientations and bendings of ligand chains are restricted in intermolecular regions under close proximity of NPs and even further chain folds. Notably, due to the non-favorable interactions with hydrophilic and hydrophobic ligands, it is energetically costly for the NP ligands to interpenetrate in intermolecular regions when self-assembly occurs, thus relieving the ligand strain from chain folding that accounts for entropy increase. These effects are reflected in the increased interparticle spacing from the mixed ligand NPs system by repulsive parts of hydrophilic group (Figure 4-2). 2) Interfacial free energy with water contact – The driving force for NP adsorption at A/W interface is the lowering of the free energy of the interface. For mixed ligands NPs system, the interfacial free energy of NP adsorption at the interface depends on the ligand structure and the nature of the constituting ligands that meet the interface. Especially, as the contact between hydrophobic parts and water reduces, the interfacial free energy of the system reduces. For example, in the micelle, the surfactant hydrophobic groups are directed towards the interior of the aggregate and the polar head groups are directed towards the solvent. However, in the case of mixed ligand NPs the equilibrium conformation of ligand structures on NPs at A/W interface becomes rather complicated due to geometric 102 constraints of ligands on the NPs surface, interaction between hydrophobic and hydrophilic ligands, and nature of functional group, etc. 4.6. Summary In chapter 4, we have studied the self-assembly of amphiphilic NPs, AuNPs coated with mixed ligand shells of hydrophobic and hydrophilic nature, into 2D NPSCs by Langmuir method. We show that in such NPs, the system resolve the fact that components with unfavorable and anisotropic interactions between hydrophobic and hydrophilic ligands are constrained to close proximity through their building block architecture and hence lead to new phase of anisotropic NPs packing arrangement. It is expected that self-assembly based on such NPs enables a rational design of complex anisotropic nanostructures if nanoscale structural ligand configuration is sensibly introduced to competing assembly mechanisms. 4.7. References 1. J.N. Israelachvili, Intermolecular and Surface Forces, Academic Press, New York (1985). 2. T.F. Tadros, Applied Surfactants: Principles and Applications, Wiley-VCH, Weinheim (2005). 3. M.S. Nikolic et al., Angew. Chem. Int. Ed. 48, 2752 (2009). 4. D.M. Andala, S.H.R. Shin, H-Y. Lee, K.J.M. Bishop, ACSnano, 6, 1044 (2012). 103 5. B.L. Sanchez-Gaytan et al., J. Phys. Chem. C 115, 7836 (2011). 6. A.M. Jackson, J.W. Myerson, F. Stellacci, Nat. 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It is expected that this will lead to the generation of new engineering principles for the design of NPSC assemblies. In the first study, we show that the packing organization of a 2D NPSC array of hydrophobic alkanethiol ligands varies with subtle chemical changes in the system between ordered and random phases, which is driven by small differences in intermolecular interpenetration. Significant phase variations occur with very small ligand conformation differences within the interpenetration region, which highlights the delicate balance between entropic and energetic effects in complex NPs self-assembly processes. In the second study, we show the 2D NPSC structures to have unique anisotropic symmetry via the interaction between amphiphilic NP ligand shells composed of hydrophobic/hydrophilic ligands. It is understood that the ligand interactions on NPs through their unique molecular configuration of amphiphilic ligands may provide the 105 anisotropic feature in the orientational alignment of NPSC symmetry. We show that if nanoscale structural ligand configuration is sensibly introduced to NPs assembly process, the system resolve the fact that NP components with anisotropic interactions between the amphiphilic ligand shells are constrained to close proximity through their building-block architecture and hence lead to new phase of anisotropic NPs packing arrangement. 5.2. Outlook Given that the study of NPSCs is a new field, its exploration is potential for new discoveries and applications are quite fruitful. I focus here on the opportunities available for improved understanding and application of the NPSC arrays. i) Investigating NP self-assembly by spatially constraining or templating, as a means of gaining structural control of NPSCs. Important, and as yet still unanswered, questions in NP self-assembly are what range of structures can be formed, what are the extent and perfection of these structures, and what is the nature of their defects? Recently, it is suggested that templating (that is, providing constraints topologically or chemically) may be an important way to bring order and asymmetric structure to self-assembled aggregates (1-5). Finally, assembling NPs into desired, precise patterns with reliability comparable to that of the current lithography techniques may be the real basis for future technological developments. ii) Using the multi-component NPSCs studies to understand further the causes and mechanisms of phase behavior on complex NPs assemblies. When multicomponent NPs are co-assembled, a variety of structures are predicted to be formed in 106 contrast to the growth of single component NPSCs (6,7). In particular, the assembly process for multi-component NPs is more complicated, with a number of distinct pairwise interactions combining with hard-sphere space-filling rules to drive the self-assembly of multi-component NPs. One of the key questions here is how the ligand molecules affect the structural diversity of the NPs arrays and/or phases. Applications - One area that has become particularly fruitful is that of understanding how the properties of NPSCs are developed, in particular how their relationship to structure and properties are coupled. Recently, there has been a rapidly growing study of the properties of NP assemblies, improving our understanding of the chemical environment and of interparticle coupling through ligand networks in NPs structures, which govern the properties of these materials and provide the entry point to engineering NPSCs for future applications (8-14). Potential emerging application for NPSCs are focused on several areas; (i) Development of NPSCs for unique filtration properties. Different particle/ligand combinations could be used to efficiently control pore size, selectivity, and sensitivity within the assembled array. This makes them promising candidates for applications not only for nanofiltration and separation but also for controlled delivery. (ii) Properties and applications using charge transport through NPs assemblies have been extensively studied in detail and many examples exist where the conductivities of the assemblies crucially depend on the length and chemical functionality of the ligand materials. For this, NPSCs are characterized that make them not only unique materials in their own right, but also model systems for the investigation of energy transfer, electron transport, electronic phase transitions, and most certainly much more. 107 5.3. References 1. Y. Yin, Y. Lu, B. Gates, Y. Xia, J. Am. Chem. 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