Programmable Atom Equivalents Research Articles

Controlling the thermally-driven crystallization of DNA-coated nanoparticles with formamide.

DNA-coated nanoparticles, also known as programmable atom equivalents (PAEs), facilitate the construction of materials with nanoscopic precision. Thermal annealing plays a pivotal role by controlling DNA hybridization kinetics and thermodynamics, which ensures the formation of intended structures. While various design handles such as particle size, DNA design, and salt concentration influence the stability of the DNA duplexes linking PAEs in a lattice, their influence on the system's melting temperature (Tm) often follows complicated trends that make rational tuning of self-assembly challenging. In this work, the denaturant formamide is used to precisely tune the thermal response of PAEs. Our results reveal a clear and predictable trend in the PAEs' response to formamide, enabling rational control over the Tm of a diverse set of PAE systems. Unlike adjustments made through alterations to PAE design or solution parameters such as ionic strength, formamide achieves its temperature shift without impacting the kinetics of assembly. As a result, PAEs can be rapidly crystallized at ambient temperatures, producing superlattices with similar quality to PAE crystals assembled through standard protocols that use higher temperatures. This study therefore positions formamide as a useful tool for enhancing the synthesis of complex nanostructures under mild conditions.

Catalytic-assembly of programmable atom equivalents

Escape from metastable states in self-assembly of colloids is an intractable problem. Unlike the commonly adopted approach of thermal annealing, the recently developed enthalpy-mediated strategy provided a different option to address this dilemma in a dynamically controllable manner at room temperature. However, it required a complex catalytic-assembly DNA strand-displacement circuitry to mediate interaction between multiple components. In this work, we present a simple but effective way to achieve catalytic-assembly of DNA-functionalized colloidal nanoparticles, i.e., programmable atom equivalents, in a far-from-equilibrium system. A removable molecule named "catassembler" that acts as a catalyst was employed to rectify imperfect linkages and help the system escape from metastability without affecting the assembled framework. Notably, catalytic efficiency of the catassembler can be effectively improved by changing the seesaw catassembler in toehold length design or numbers of the repeat units. Leveraging this tractable catalytic-assembly approach, different ordered architectures were easily produced by directly mixing all reactants, as in chemical reactions. By switching bonding identities, solid-solid phase transformations between different colloidal crystals were achieved. This work opens up an avenue for programming colloid assembly in a far-from-equilibrium system.

Programmable Matter: The Nanoparticle Atom and DNA Bond.

Colloidal crystal engineering with DNA has led to significant advances in bottom-up materials synthesis and a new way of thinking about fundamental concepts in chemistry. Here, programmable atom equivalents (PAEs), comprised of nanoparticles (the "atoms") functionalized with DNA (the "bonding elements"), are assembled through DNA hybridization into crystalline lattices. Unlike atomic systems, the "atom" (e.g., the nanoparticle shape, size, and composition) and the "bond" (e.g., the DNA length and sequence) can be tuned independently, yielding designer materials with unique catalytic, optical, and biological properties. In this review, nearly three decades of work that have contributed to the evolution of this class of programmable matter is chronicled, starting from the earliest examples based on gold-core PAEs, and then delineating how advances in synthetic capabilities, DNA design, and fundamental understanding of PAE-PAE interactions have led to new classes of functional materials that, in several cases, have no natural equivalent.

The emergence of valency in colloidal crystals through electron equivalents.

Colloidal crystal engineering of complex, low-symmetry architectures is challenging when isotropic building blocks are assembled. Here we describe an approach to generating such structures based upon programmable atom equivalents (nanoparticles functionalized with many DNA strands) and mobile electron equivalents (small particles functionalized with a low number of DNA strands complementary to the programmable atom equivalents). Under appropriate conditions, the spatial distribution of the electron equivalents breaks the symmetry of isotropic programmable atom equivalents, akin to the anisotropic distribution of valence electrons or coordination sites around a metal atom, leading to a set of well-defined coordination geometries and access to three new low-symmetry crystalline phases. All three phases represent the first examples of colloidal crystals, with two of them having elemental analogues (body-centred tetragonal and high-pressure gallium), while the third (triple double-gyroid structure) has no known natural equivalent. This approach enables the creation of complex, low-symmetry colloidal crystals that might find use in various technologies.

Spherical Nucleic Acids: Integrating Nanotechnology Concepts into General Chemistry Curricula.

Nanoscience and technology research offer exciting avenues to modernize undergraduate-level General Chemistry curricula. In particular, spherical nucleic acid (SNA) nanoconjugates, which behave as "programmable atom equivalents" (PAEs) in the context of colloidal crystals, are one system that one can use to reinforce foundational concepts in chemistry including matter and atoms, the Periodic Table, Lewis dot structures and the octet rule, valency and valence-shell electron-pair repulsion (VSEPR) theory, and Pauling's rules, ultimately leading to enriching discussions centered on materials chemistry and biochemistry with key implications in medicine, optics, catalysis, and other areas. These lessons connect historical and modern concepts in chemistry, relate course content to current professional and popular science topics, inspire critical and creative thinking, and spur some students to continue their science, technology, engineering, and mathematics (STEM) education and attain careers in STEM fields. Ultimately, and perhaps most importantly, these lessons may expand the pool of young students interested in chemistry by making connections to a broader group of contemporary concepts and technologies that impact their lives and enhance their view of the field. Herein, a way of teaching aspects of General Chemistry in the context of modern nanoscience concepts is introduced to instructors and curricula developers at research institutions, primarily undergraduate institutions, and community colleges worldwide.

Dynamic Manipulation of DNA-Programmed Crystals Embedded in a Polyelectrolyte Hydrogel.

DNA is a powerful tool for programming the three-dimensional organization of nanomaterials, where the specificity of nucleotide base-pairing can enable precise, complex, and dynamically addressable structures like colloidal crystals. However, because these DNA-programmed materials are often only stable in solution, their organization can be easily disrupted by changes to its local environment. Methods to stabilize these materials have been developed, but often come at the expense of altering or permanently fixing the materials' structures, removing many of the benefits of using DNA interactions to program assembly. Thus, these methods limit the application of DNA-assembled structures as dynamic and programmable material components. Here, a method is presented to resolve these drawbacks for DNA-grafted nanoparticles, also known as Programmable Atom Equivalents (PAEs), by embedding assembled lattices within a hydrogel matrix. The preformed lattices are exposed to polymerizable residues that electrostatically bind to the charged backbone of the DNA ligands and form a continuous, permeating gel network that stabilizes the colloidal crystals upon introduction of a radical initiator. After embedding PAEs in a hydrogel, deformation of the macroscopic matrix results in concomitant deformation of the PAE lattices, allowing superlattice structural changes to be induced by chemical methods (such as changing solute concentration to alter swelling pressure) or by application of mechanical strain. Changes to the structure of the PAE lattices are reversible and repeatable over multiple cycles and can be either isotropic (such as by swelling) or anisotropic (such as by mechanical deformation). This method of embedding nanoparticle crystals inside of a flexible and environmentally responsive hydrogel is therefore a useful tool in extending the utility of PAEs and other micro- and nanostructures assembled with DNA.

Electron-Equivalent Valency through Molecularly Well-Defined Multivalent DNA.

Oligonucleotide-functionalized nanoparticles (NPs), also known as "programmable atom equivalents" (PAEs), have emerged as a class of versatile building blocks for generating colloidal crystals with tailorable structures and properties. Recent studies have shown that, at small size and low DNA grafting density, PAEs can also behave as "electron equivalents" (EEs), roaming through and stabilizing a complementary PAE sublattice. However, it has been challenging to obtain a detailed understanding of EE-PAE interactions and the underlying colloidal metallicity because there is inherent polydispersity in the number of DNA strands on the surfaces of these NPs; thus, the structural uniformity and tailorability of NP-based EEs are somewhat limited. Herein, we report a strategy for synthesizing colloidal crystals where the EEs are templated by small molecules, instead of NPs, and functionalized with a precise number of DNA strands. When these molecularly precise EEs are assembled with complementary NP-based PAEs, X-ray scattering and electron microscopy reveal the formation of three distinct "metallic" phases. Importantly, we show that the thermal stability of these crystals is dependent on the number of sticky ends per EE, while lattice symmetry is controlled by the number and orientation of EE sticky ends on the PAEs. Taken together, this work introduces the notion that, unlike conventional electrons, EEs that are molecular in origin can have a defined valency that can be used to influence and guide specific phase formation.

PolyA-based DNA bonds with programmable bond length and bond energy

DNA-functionalized Au nanoparticles (AuNPs) have been intensively exploited as programmable atom equivalents (PAEs) for the self-assembly of molecule-like structures. However, it remains challenging to build hierarchical PAE assemblies via discrete DNA bonds at different levels. Here, we report a strategy to program DNA bond length and bond energy on PAEs using DNA encoders carrying consecutive adenines (polyA). On AuNPs, we built three types of DNA motifs with different topologic configurations, which can form bonds for PAE self-assembly. By small-angle X-ray scattering (SAXS) analysis, we found that the bond length and flexibility between the coupled PAEs can be tuned by programming the bond structure. We also found that these bonds show different bond energies and thus differ, depending on their topologic configuration, leading to different PAE assembly efficiencies. We demonstrated that the bonds at different levels can be arranged in different directions on one nanoparticle, leading to asymmetric PAEs that allow ionic strength-controlled hierarchical assembly of multiparticle structures. This programmable bonding system may provide a new route for building complex plasmonic superstructures.

Colloidal Crystal "Alloys".

Colloidal crystal engineering with DNA has emerged as a powerful tool for precisely controlling the arrangement of nanoscale building blocks in three-dimensional superlattices, where nanoparticles densely modified with DNA can be viewed as "programmable atom equivalents" (PAEs). Although a wide variety of complementary DNA-modified nanoparticles, differentiated by size, shape, and composition, have been assembled into many "ionic" phases, the predictable formation of "alloy" phases remains elusive. Here, we describe the design of "colloidal crystal alloys" by combining gold PAEs of two different sizes (core diameters ranging from 5 to 40 nm) with complementary DNA-modified 2 nm gold nanoparticles (∼15 DNA strands/particle) that act as electron equivalents (EEs). Electron microscopy and small-angle X-ray scattering (SAXS) experiments reveal the formation of four classes of colloidal alloy equivalents: interstitial, substitutional, phase-separated, and intermetallic alloys. In these colloidal alloy phases, PAEs occupy lattice positions, while EEs stabilize the PAE lattice but do not occupy specific lattice sites. A set of chemical design guidelines emerge from this study, analogous to that of the Hume-Rothery rules, allowing for programmed synthesis of different alloy phases depending on PAE particle size ratio, DNA surface coverage, stoichiometric ratio, and thermal annealing pathways. Furthermore, we study the phase separation process via in situ SAXS experiments as well as ex situ electron microscopy, revealing the critical role of kinetics on the phase behavior in these systems.

Self‐Assembly: Programmable Atom Equivalents: Atomic Crystallization as a Framework for Synthesizing Nanoparticle Superlattices (Small 26/2019)

Self‐Assembly: Programmable Atom Equivalents: Atomic Crystallization as a Framework for Synthesizing Nanoparticle Superlattices (Small 26/2019)

Programmable Atom Equivalents: Atomic Crystallization as a Framework for Synthesizing Nanoparticle Superlattices.

Decades of research efforts into atomic crystallization phenomenon have led to a comprehensive understanding of the pathways through which atoms form different crystal structures. With the onset of nanotechnology, methods that use colloidal nanoparticles (NPs) as nanoscale "artificial atoms" to generate hierarchically ordered materials are being developed as an alternative strategy for materials synthesis. However, the assembly mechanisms of NP-based crystals are not always as well-understood as their atomic counterparts. The creation of a tunable nanoscale synthon whose assembly can be explained using the context of extensively examined atomic crystallization will therefore provide significant advancement in nanomaterials synthesis. DNA-grafted NPs have emerged as a strong candidate for such a "programmable atom equivalent" (PAE), because the predictable nature of DNA base-pairing allows for complex yet easily controlled assembly. This Review highlights the characteristics of these PAEs that enable controlled assembly behaviors analogous to atomic phenomena, which allows for rational material design well beyond what can be achieved with other crystallization techniques.

The Importance of Salt-Enhanced Electrostatic Repulsion in Colloidal Crystal Engineering with DNA.

Realizing functional colloidal single crystals requires precise control over nanoparticles in three dimensions across multiple size regimes. In this regard, colloidal crystallization with programmable atom equivalents (PAEs) composed of DNA-modified nanoparticles allows one to program in a sequence-specific manner crystal symmetry, lattice parameter, and, in certain cases, crystal habit. Here, we explore how salt and the electrostatic properties of DNA regulate the attachment kinetics between PAEs. Counterintuitively, simulations and theory show that at high salt concentrations (1 M NaCl), the energy barrier for crystal growth increases by over an order of magnitude compared to low concentration (0.3 M), resulting in a transition from interface-limited to diffusion-limited crystal growth at larger crystal sizes. Remarkably, at elevated salt concentrations, well-formed rhombic dodecahedron-shaped microcrystals up to 21 μm in size grow, whereas at low salt concentration, the crystal size typically does not exceed 2 μm. Simulations show an increased barrier to hybridization between complementary PAEs at elevated salt concentrations. Therefore, although one might intuitively conclude that higher salt concentration would lead to less electrostatic repulsion and faster PAE-to-PAE hybridization kinetics, the opposite is the case, especially at larger inter-PAE distances. These observations provide important insight into how solution ionic strength can be used to control the attachment kinetics of nanoparticles coated with charged polymeric materials in general and DNA in particular.

Electrochemical behavior of self-assembled DNA–gold nanoparticle lattice films

Electrochemical processes involving self-assembled nanoparticles are currently the subject of intense research. In most studies nanoparticles are drop-cast onto an insulating barrier; however, this method has a considerable drawback in that it does not offer control over the deposition process. In this work we use a strategy based on the self-assembly of programmable atom equivalents consisting of AuNPs with complementary DNA strands. We studied the properties of the resulting films by EIS and CV. The results showed that the 3D structure influences the electrical conduction. The results of the impedance studies showed that conduction depends on the organization and thickness of the superlattice film. Our results demonstrate the formation of a hybrid electroactive device with a well-organized structure composed of different nano-sized entities working together. Our results thus pave the way for the future development of electrochemically active nanomachines based on DNA nanostructures.

Radiation damage during in situ electron microscopy of DNA-mediated nanoparticle assemblies in solution

Oligonucleotide-nanoparticle conjugates, also called programmable atom equivalents, carry promise as building blocks for self-assembled colloidal crystals, reconfigurable or stimuli responsive functional materials, as well as bio-inspired hierarchical architectures in wet environments. In situ studies of the DNA-mediated self-assembly of nanoparticles have so far been limited to reciprocal space techniques. Liquid-cell electron microscopy could enable imaging such systems with high resolution in their native environment but to realize this potential, radiation damage to the oligonucleotide linkages needs to be understood and conditions for damage-free electron microscopy identified. Here, we analyze in situ observations of DNA-linked two-dimensional nanoparticle arrays, along with control experiments for different oligonucleotide configurations, to identify the mechanisms of radiation damage for ordered superlattices of DNA-nanoparticle conjugates. In a biological context, the results point to new avenues for studying direct and indirect radiation effects for small ensembles of DNA in solution by tracking conjugated nanoparticles. By establishing low-dose conditions suitable for extended in situ imaging of programmable atom equivalents, our work paves the way for real-space observations of DNA-mediated self-assembly processes.

Lattice Mismatch in Crystalline Nanoparticle Thin Films.

For atomic thin films, lattice mismatch during heteroepitaxy leads to an accumulation of strain energy, generally causing the films to irreversibly deform and generate defects. In contrast, more elastically malleable building blocks should be better able to accommodate this mismatch and the resulting strain. Herein, that hypothesis is tested by utilizing DNA-modified nanoparticles as "soft," programmable atom equivalents to grow a heteroepitaxial colloidal thin film. Calculations of interaction potentials, small-angle X-ray scattering data, and electron microscopy images show that the oligomer corona surrounding a particle core can deform and rearrange to store elastic strain up to ±7.7% lattice mismatch, substantially exceeding the ±1% mismatch tolerated by atomic thin films. Importantly, these DNA-coated particles dissipate strain both elastically through a gradual and coherent relaxation/broadening of the mismatched lattice parameter and plastically (irreversibly) through the formation of dislocations or vacancies. These data also suggest that the DNA cannot be extended as readily as compressed, and thus the thin films exhibit distinctly different relaxation behavior in the positive and negative lattice mismatch regimes. These observations provide a more general understanding of how utilizing rigid building blocks coated with soft compressible polymeric materials can be used to control nano- and microstructure.

Directional emission from dye-functionalized plasmonic DNA superlattice microcavities

Three-dimensional plasmonic superlattice microcavities, made from programmable atom equivalents comprising gold nanoparticles functionalized with DNA, are used as a testbed to study directional light emission. DNA-guided nanoparticle colloidal crystallization allows for the formation of micrometer-scale single-crystal body-centered cubic gold nanoparticle superlattices, with dye molecules coupled to the DNA strands that link the particles together, in the form of a rhombic dodecahedron. Encapsulation in silica allows one to create robust architectures with the plasmonically active particles and dye molecules fixed in space. At the micrometer scale, the anisotropic rhombic dodecahedron crystal habit couples with photonic modes to give directional light emission. At the nanoscale, the interaction between the dye dipoles and surface plasmons can be finely tuned by coupling the dye molecules to specific sites of the DNA particle-linker strands, thereby modulating dye-nanoparticle distance (three different positions are studied). The ability to control dye position with subnanometer precision allows one to systematically tune plasmon-excition interaction strength and decay lifetime, the results of which have been supported by electrodynamics calculations that span length scales from nanometers to micrometers. The unique ability to control surface plasmon/exciton interactions within such superlattice microcavities will catalyze studies involving quantum optics, plasmon laser physics, strong coupling, and nonlinear phenomena.

DNA-Nanoparticle Tinkertoys.

Nanoparticle superlattices can be self-assembled by using DNA linkers, which gives control over their size, shape, and composition. Recently, such programmable atom equivalents have been tailored to respond to chemical stimuli and result in specific crystalline lattices. Moreover, the molecular recognition properties and the robustness of designed DNA nanostructures have been used in combination with metallic nanoparticles for the production of the elusive diamond superlattice.

Critical Undercooling in DNA-Mediated Nanoparticle Crystallization.

The nucleation of DNA-functionalized nanoparticle superlattices is observed to exhibit a temperature hysteresis between melting (superlattice dissociation) and freezing (particle association) transitions that allows for the study of nucleation thermodynamics. Through detailed study of the assembly of these particles, which can be considered programmable atom equivalents (PAEs), we identify this hysteresis as critical undercooling-a phase transition phenomenon related to a thermodynamic barrier to nucleation. The separable nature of the DNA bonding elements and nanoparticle core enables the PAE platform to pose unique questions about the microscopic dependencies of critical undercooling and, ultimately, to control the nucleation pathway. Specifically, we find that the undercooling required to initiate nucleation increases as the nanoparticle coordination number increases (number of particles to which a single particle can bind).

A general approach to DNA-programmable atom equivalents

Nanoparticles can be combined with nucleic acids to programme the formation of three-dimensional colloidal crystals where the particles' size, shape, composition and position can be independently controlled. However, the diversity of the types of material that can be used is limited by the lack of a general method for preparing the basic DNA-functionalized building blocks needed to bond nanoparticles of different chemical compositions into lattices in a controllable manner. Here we show that by coating nanoparticles protected with aliphatic ligands with an azide-bearing amphiphilic polymer, followed by the coupling of DNA to the polymer using strain-promoted azide-alkyne cycloaddition (also known as copper-free azide-alkyne click chemistry), nanoparticles bearing a high-density shell of nucleic acids can be created regardless of nanoparticle composition. This method provides a route to a virtually endless class of programmable atom equivalents for DNA-based colloidal crystallization.

Nucleic Acid‐Modified Nanostructures as Programmable Atom Equivalents: Forging a New “Table of Elements”

A nanoparticle-based analogue to the Periodic Table of the elements, where rather than arranging entries by electronic configuration, they are arranged by nanoscale architectural feature (e.g., composition, size, shape, and surface functionality). Using this table as a guide, the design considerations associated with using nucleic acids to assemble these nanoparticle-based programmable atom equivalents (PAEs) into superlattices is discussed.