Jaemin
Kim
,
Kyunghyeon
Lee
,
Sangyoon
Kim
and
Byeong-Hyeok
Sohn
*
Department of Chemistry, Seoul National University, Seoul 08826, Republic of Korea. E-mail: bhsohn@snu.ac.kr; Fax: +82-2-889-1568; Tel: +82-2-883-2154
First published on 13th May 2024
Supracolloidal chains consisting of nano- or micro-scale particles exhibit anisotropic properties not observed in individual particles. The orientation of the chains is necessary to manifest such characteristics on a macroscopic scale. In this study, we demonstrate the orientation of supracolloidal chains composed of nano-scale micelles of a diblock copolymer through spin-coating. We observed separate chains coated on a substrate with electron microscopy, and analyzed the orientation and stretching of the chains quantitatively with image analysis software. In drop-casting, the chains were coated randomly with no preferred orientation, and the degree of stretching exhibited an intrinsic semi-flexible nature. In contrast, spin-coated chains were aligned in the radial direction, and the apparent persistence length of the chain increased, confirming the stretching of the chain quantitatively. Furthermore, by incorporating fluorophores into supracolloidal chains and confirming the oriented chains with confocal fluorescence microscopy, it is demonstrated that oriented chains can be utilized as a template to align functional materials.
Nano- or micro-scale colloidal particles can be linearly assembled into 1D chains, inducing anisotropic properties not observed in individual particles.7–9 Colloidal particles can form chains through directional bonding facilitated by charges and ligands.10 In particular, particles with patches on their surfaces are assembled into linear chains through bonding between these patches.11,12 For example, gold nanorods tethered with polymeric patches at two ends13 and triblock copolymer micelles with segregated patches14,15 were assembled into a linear chain through bonding between the patches. Our previous studies reported the generation of patchy micelles from diblock copolymers, followed by the assembly of supracolloidal chains through the fusion of these patches.16–19
By aligning these colloidal chains, macroscopic induction of anisotropic properties can be achieved, allowing for the tuning of material characteristics, as observed in other 1D nanomaterials.9 Notably, various metal, inorganic, and polymeric particles can be chosen to form the colloid chain, thereby diversifying macroscopic properties through orientation.9 Supracolloidal chains of patchy micelles reported by our group can be functionalized by incorporating nanoparticles,20 quantum dots,21 and fluorophore22 into the core of the micelles, which serves as the constituent unit of the chain. However, research on aligning chains composed of colloid particles in a specific direction is limited. A study aligning chains consisting of magnetic nanoparticles using a combination of magnetic fields and shear has been reported.23
Conventional polymer chains consisting of small molecules, termed monomers, can also be aligned using drawing, spin-coating, shear-coating, etc., resulting in enhanced elastic modulus, electrical conductivity, and thermal conductivity in the oriented direction.24–26 Furthermore, polymer chain molecules can be stretched under external forces. The analysis of chain stretching is limited, and reports have been made for very high molecular weight polymer chains such as DNA, comb polymers, and bottle-brush polymers, which exhibit stretched conformations under shear or extensional flow.27–29
In this study, we analyzed the orientation and stretching of supracolloidal chains of patchy micelles of diblock copolymers. We observed separate supracolloidal chains coated differently by drop-casting and spin-coating with an electron microscope and quantitatively analyzed the orientation and stretching of chains with image analysis software. In drop-casting, the chains were coated randomly with no preferred orientation, and the degree of stretching exhibited an intrinsic semi-flexible nature. In contrast, spin-coated chains were aligned in the radial direction, and the apparent persistence length of the chain increased, confirming the stretching of the chain quantitatively.
Supracolloidal chains were drop-cast onto a substrate by depositing a solution of supracolloidal chains and allowing the solvent to evaporate and visualized by SEM. Fig. 1 is a large-area SEM image showing supracolloidal chains of various lengths where both separate and overlapping chains are found. In an enlarged image of a separate chain (Fig. 1 inset), a chain looks like a string of beads, which consists of micelles connected by beads corresponding to fused patches resulting from the merging of neighboring micelles. The diameter of the bead is ∼40 nm, yielding an identical value in the TEM image (Fig. S1d†). The degree of polymerization, or the number of merged patchy micelles, was determined as 81 by counting the number of beads. As the degree of polymerization is proportional to contour length (L), which is the fully extended length of a chain, we measured contour length instead of counting the number of beads in a chain. For example, the contour length of the chain in Fig. 1 inset is 2800 nm.
Using image analysis software, we measured the contour lengths of 944 chains, which include more chains than those shown in the SEM image, and plotted a histogram in Fig. 1. We note that overlapping chains are enlarged, and an enlarged image of separate chains are identified for contour length analysis. The histogram shows a significant decrease in the number of chains as the contour length increases, which suggests that the distribution of contour length, or the degree of polymerization, follows the most probable distribution as the polymerization of the supracolloidal chain is explained by a step-growth mechanism.13,19 It is noted that the average contour length is 1260 nm, and only 15 chains have a contour length exceeding 5000 nm, making them poorly visible in the histogram.
Since the chains shown in Fig. 1 appear randomly oriented with no discernible orientation, we used image analysis software to assess the chain orientation quantitatively. To apply image analysis software, we binarized 944 images of separate chains. We arranged representative binarized chain images in increasing order of contour length in Fig. 2. The number of short chains with a low degree of polymerization is most prominent in the step-growth mechanism (Fig. 1 histogram).
The orientation of 406 semi-flexible chains was analyzed, excluding chains with a contour length under 1000 nm, approximately two times the persistence length (Lp) of the chains. We will explain the persistence length of the chains in Fig. 7. The end-to-end vector pointing to the right was selected as the orientation for the separate chain and marked by the green arrow in Fig. 2. We measured the angle between the end-to-end vector and the horizontal reference line, which is defined as the end-to-end vector angle, for 406 chains. Due to the selection of the end-to-end vector pointing in the right direction, the end-to-end vector angle is in the range of −90 to 90 degrees. We represented the number of chains at 20-degree intervals of the end-to-end vector angle in a histogram shown in Fig. 3a. There was no significant difference in the number of chains for each angle interval, indicating that the supracolloidal chains were randomly oriented.
Fig. 3 Histograms of the orientation angles of supracolloidal chains drop-cast on a substrate: (a) end-to-end vector angle; (b) direction angle. |
The end-to-end vector angle has a limit when it comes to explaining the orientation of strongly curved or bent semi-flexible supracolloidal chains. For example, in Fig. 2, the first chain within the 3000–4000 nm range exhibits a bent-U shape, and the direction of the two linear portions, which comprise a significant part of the chain, shows a substantial difference from the end-to-end vector marked by the green arrow.
OrientationJ software was used to analyze the orientation of highly curved and bent chains appropriately. As OrientationJ can display the orientation of the pixels, the orientation angle of pixels comprising each chain with respect to the horizontal reference line was marked by orientation color.31–33 The chain was marked by orientation color based on the angle of pixels in the range of −90° to 90° following the color code given in Fig. 2. For instance, the part of the chain with a vertical (+90°) angle appears in red, while the other part with a horizontal (0°) angle is in blue. We applied the orientation color to each of the 406 chains, and the first chain in each range was color-coded representatively. The direction angle (θ) of each chain with respect to the horizontal reference line was calculated using the standard atan2(y, x) function, θ = atan2(∑sin(2θi), ∑cos(2θi))/2, where the distribution of orientation angles (θi) was provided by OrientationJ.32–34 The atan2(y, x) function, a variation of the arctangent function, provides the angle θ between the positive x-axis and the point given by the coordinate (x, y) corresponding to (∑cos(2θi), ∑sin(2θi)) in the case of a chain having the distribution of orientation angles (θi). The chain direction, indicated by the direction angle, was marked by a yellow arrow for each chain in Fig. 2. For the bent-U shape chain shown earlier as an example, the yellow arrow representing the chain direction is nearly perpendicular to the green arrow representing the end-to-end vector but well reflects the direction of the two linear portions comprising a significant part of the chain. In Fig. 2, the chain direction marked for each chain exhibited a noticeable difference from the end-to-end vector for bent chains. However, it almost overlapped for extended chains and was indistinguishable from the end-to-end vector.
We analyzed the direction angle of 409 chains, for which the end-to-end vector angle was measured, and represented the number of chains at 20-degree intervals of the direction angle in a histogram, shown in Fig. 3b. There is no meaningful difference in the population of chains depending on the direction range, indicating that supracolloidal chains are randomly oriented, which is consistent with the findings from the end-to-end vector angle analysis (Fig. 3a). In other words, drop-cast chains still show random orientation when analyzed by direction angle, which adequately explains the orientation of highly curved or bent chains.
The degree of alignment can be characterized by the 2D order parameter S = 〈2cos2αn − 1〉, where αn = θn − 〈θn〉. A value of S = 0 indicates randomly oriented chains, while S = 1 indicates perfectly aligned chains in the same direction. From the end-to-end vector angle and direction angle of 409 chains, a value of S = 0.02 and 0.08 was calculated, respectively. With S values approaching 0, we confirmed the random orientation of the chain quantitatively.29,32,35
Supracolloidal chains were coated using a spin-coating method, where the solvent was evaporated rapidly through high-speed rotation and visualized by SEM (Fig. 4). The spin-coated chain exhibited the same shape as the drop-cast chain (Fig. 4 inset). The contour length distribution shown in the histogram (Fig. 4) is almost the same as that of the drop-cast chain, leading to the nearly identical average contour length of 1300 nm (±1140 nm) and 1260 nm (±1120 nm), respectively. In other words, spin-coating does not alter the distribution of the contour lengths of supracolloidal chains. It is worth noting that the large standard deviation is associated with the step-growth mechanism,19 in which the standard deviation becomes the average value as the polydispersity index (PDI) approaches 2, as it equals to (PDI − 1)1/2.36
In contrast, spin-coated chains in Fig. 4, an image in the horizontal direction from the center of the substrate, appear aligned in a radial direction, marked by a white line. The chains also appear to be oriented in the radial direction in images obtained at 45 degrees and in the vertical direction from the center of the substrate (Fig. S2†). The orientation of 480 chains with contour lengths over 1000 nm was analyzed quantitatively by the same procedure with drop-cast chains. We arranged representative binarized chain images in increasing order of contour length and marked end-to-end vector and chain direction as green and yellow arrows, respectively, in Fig. 5. Since the chains are not excessively curved or bent, green and yellow arrows are nearly overlapped, pointing in almost the same direction.
We analyzed the end-to-end vector angle and direction angle with respect to the radial direction for 480 chains, representing the number of chains at 20-degree intervals in histograms, shown in Fig. 6a and b, respectively. Both the end-to-end vector angle and direction angle showed the highest concentration of chains along the radial direction, with more than half (58%) of the chains arranged within ±30° of the radial direction.32 The end-to-end vector angle and direction angle of 480 chains resulted in values of S = 0.40 and 0.41, respectively. The value of S = 0.4 for 480 chains confirms that the chain orientation is not random but is aligned to a specific direction with 99% confidence according to the Rayleigh test (2nS2 > 9.21).29,37,38 Unlike randomly oriented drop-cast chains, we verified that spin-coated chains are aligned in the radial direction. It is considered that during the spin-coating process, the outward flow generated by centrifugal force causes supracolloidal chains to align radially.29,39,40
Fig. 6 Histograms of the orientation angles of supracolloidal chains spin-coated on a substrate: (a) end-to-end vector angle; (b) direction angle. |
We note that variations in the coating conditions, such as colloidal concentration, spinning speed, and surface hydrophilicity of the substrate, scarcely affect the orientation of supracolloidal chains. For example, 0.02 wt% and 0.03 wt% solutions of supracolloidal chains resulted in similar values of the 2D order parameter S, with values of 0.41 and 0.37, respectively, although the chains on the substrate appeared slightly denser with a higher concentration (Fig. S4†). The spinning speed of 1500 and 4500 rpm also resulted in similar S values of 0.34 and 0.38, respectively (Fig. S5†). To avoid a residual solution on the substrate, we executed spin-coating for at least 60 s. In addition, we spin-coated supracolloidal chains on substrates with various water-contact angles of 35°, 70°, and 110°, which exhibited comparable S values of 0.39, 0.34, and 0.38, respectively (Fig. S6†).
Spin-coated supracolloidal chains exhibit a stretched morphology when compared to drop-casted chains, so we arranged representative chains in increasing order of contour length for comparison in Fig. 7a. There appears to be little difference in the extent of stretching between drop-cast and spin-coated chains for chains with lengths below 3000 nm. However, spin-coated chains seem more stretched for chains longer than 3000 nm. In conventional polymers, polymer chains with stretched conformations exhibit a high persistence length (Lp), which indicates the extent of flexibility. We note that persistence length indicates the inherent flexibility of the chain, so the measured Lp represents the apparent persistence length for chains stretched by an external force.29 The apparent persistence length (Lp) of chains within a specific range of contour lengths was evaluated from the correlation between the tangent angles along the supracolloidal chains using Persistence software.30
For drop-cast and spin-coated chains with contour lengths of over 1000 nm, we obtained and displayed Lp for each contour length range (Fig. 7b).29 The Lp for the drop-cast chains remained nearly constant across the contour length range, yielding an Lp of 480 nm. The persistence length of randomly oriented chains without external force represents intrinsic flexibility of the chains. It is worthwhile to note that in order to examine chains with sufficiently long lengths, we analyzed the chains with contour lengths over 1000 nm, corresponding to over twice the intrinsic Lp of the chains. In sharp contrast, the Lp of spin-coated chains shows a higher value than that of drop-cast chains across all contour lengths. In particular, the Lp increased dramatically for contour lengths exceeding 3000 nm, resulting in Lp of 920 nm. This value is about twice the intrinsic Lp (480 nm), indicating the stretching of the chains. It is considered that during the spin-coating process, the outward flow generated by centrifugal force not only aligns supracolloidal chains in the radial direction but also stretches long chains. It is noted that the values of mean and deviation of persistence lengths in the graph of Fig. 7b are provided in Table S1 (ESI).†
Since a chain with the same contour length exhibits a longer end-to-end distance (Re) as it stretches, we plotted Revs. L of drop-cast and spin-coated chains with contour length over 1000 nm in Fig. 8a and b, respectively. As demonstrated in our previous report,18 supracolloidal chains are well described by the semi-flexible worm-like chain model. We fitted Revs. L to the equations of the worm-like chain model, Re = [4LpL − 8Lp2(1 − exp(−L/2Lp))]1/2, and plotted it as a dotted line.30 There was little difference between the Re of drop-cast and spin-coated chains with contour lengths under 3000 nm. However, spin-coated chains exhibited a higher Re than that of drop-casted chains with contour lengths over 3000 nm. After fitting the worm-like chain model, it was found that the spin-coated chains had an Lp of 1300 nm, which is 2.6 times greater than that of the drop-cast chains, confirming that the chains were stretched during the spin-coating process.
Fig. 8 End-to-end distance (Re) vs. contour length (L) of supracolloidal chains: (a) drop-cast; (b) spin-coated. The dashed lines in (a) and (b) are calculated by the worm-like chain model. |
Confocal fluorescence microscopy was employed to observe supracolloidal chains simultaneously across a larger area than possible with SEM. As we can selectively incorporate Sulforhodamine 101 (S101, absorption and PL spectra in Fig. S3†) into the P4VP core of patchy micelles forming supracolloidal chains,41,42 we loaded S101 into both drop-cast and spin-coated chains. Subsequently, we visualized the chains using fluorescence microscopy (Fig. 9). We observed numerous chains emitting red fluorescence over an area more than ten times larger than the SEM images presented in Fig. 1 and 4. Chains longer than the resolution of confocal fluorescence microscopy (∼250 nm) can be clearly distinguished and identified. While drop-cast chains lack a specific orientation (Fig. 9a), spin-coated chains exhibit a horizontal radial alignment, with numerous stretched chains (Fig. 9b). Differences in orientation across a wide area were identified using fluorescence microscopy. Using OrientationJ software as before, we color-coded the chains in the fluorescent images with respect to their orientations (Fig. S7†). Inseparable chains due to agglomeration were excluded in the analysis. From these color-coded images, we obtained the 2D order parameter S values of 0.07 by drop-casting and 0.34 by spin-coating, indicating random and aligned orientation, respectively. Incorporating functional materials such as quantum dots and metal nanoparticles into the P4VP core20,21,43 allows chains oriented differently to serve as templates for aligning the materials. As additional examples of aligning functional materials, we synthesized Au and Pt nanoparticles by employing the supracolloidal chains as a template. It is noted that a spinning speed of 4500 rpm was used for spin-coating of the chains. We adapted the synthetic procedure described in our previous publications,20,44,45 in which precursors of Au and Pt nanoparticles were incorporated in the P4VP cores of PS-b-P4VP micelles, followed by plasma treatment to remove the polymeric part. Au and Pt nanoparticles, shown in Fig. 10a and b, respectively, were synthesized at the locations of the chains, resulting in their linear alignment. Separate nanoparticles, each with a diameter of ∼20 nm and a spacing of ∼30 nm, are clearly discernible in the enlarged images. We note that the diameter of nanoparticles in the images is somewhat overrepresented due to the inevitable sputtering of conductive materials such as Pt, which was necessary to prevent charging issues in SEM. We acknowledge that further refinement on the template chains is necessary to obtain nanoparticles with enhanced alignment. However, these results can demonstrate the potential application of the chains as a template for the aligning functional materials.
Fig. 9 Fluorescent images of supracolloidal chains with Sulforhodamine 101: (a) drop-cast; (b) spin-coated. The size of each image is 100 μm × 50 μm. |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d4nr00663a |
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