Open main menu
Self-assembly of lipids (a), proteins (b), and (c) SDS-cyclodextrin complexes. SDS is a surfactant with a hydrocarbon tail (yellow) and a SO4 head (blue and red), while cyclodextrin is a saccharide ring (green C and red O atoms).
Transmission electron microscopy image of an iron oxide nanoparticle. Regularly arranged dots within the dashed border are columns of Fe atoms. Left inset is the corresponding electron diffraction pattern. Scale bar: 10 nm.[1]
Iron oxide nanoparticles can be dispersed in an organic solvent (toluene). Upon its evaporation, they may self-assemble (left and right panels) into micron-sized mesocrystals (center) or multilayers (right). Each dot in the left image is a traditional "atomic" crystal shown in the image above. Scale bars: 100 nm (left), 25 μm (center), 50 nm (right).[1]
STM image of self-assembled Br4-pyrene molecules on Au(111) surface (top) and its model (bottom; pink spheres are Br atoms).[2]

Self-assembly is a process in which a disordered system of pre-existing components forms an organized structure or pattern as a consequence of specific, local interactions among the components themselves, without external direction. When the constitutive components are molecules, the process is termed molecular self-assembly.

AFM imaging of self-assembly of 2-aminoterephthalic acid molecules on (104)-oriented calcite.[3]

Self-assembly can be classified as either static or dynamic. In static self-assembly, the ordered state forms as a system approaches equilibrium, reducing its free energy. However, in dynamic self-assembly, patterns of pre-existing components organized by specific local interactions are not commonly described as "self-assembled" by scientists in the associated disciplines. These structures are better described as "self-organized", although these terms are often used interchangeably.


Self-assembly in chemistry and materials scienceEdit

The DNA structure at left (schematic shown) will self-assemble into the structure visualized by atomic force microscopy at right.

Self-assembly in the classic sense can be defined as the spontaneous and reversible organization of molecular units into ordered structures by non-covalent interactions. The first property of a self-assembled system that this definition suggests is the spontaneity of the self-assembly process: the interactions responsible for the formation of the self-assembled system act on a strictly local level—in other words, the nanostructure builds itself.

Self-assembled nano-structure is an object that appears as a result of ordering and aggregation of individual nano-scale objects guided by some physical principle.

Self-assembled nanostructure arises in the strong non-equilibrium conditions. The most famous example of self-assembly phenomenon is the occurrence of the life on Earth. It is plausible to hypothesize that it happens because the sun generates a strong temperate gradient in its environment. This general idea has been confirmed in the experiment of self-assembly of carbon nanotubes.

Another interesting example of self-assembly is the phenomenon of electrostatic trapping. In this case an electric field is applied between two metallic nano-electrodes. The particles present in the environment are polarized by the applied electric field. Because of dipole interaction with the electric field gradient the particles are attracted to the gap between the electrodes.[4]

Fabricating a crystal by placing atom after atom is not realistic. However self-assembly of crystals works well. Similarly fabricating a 3D nano-structure is not realistic as well. Self-assembly of 3D nano-structure becomes an easy and inexpensive way to fabricate them.[5][6]

Nano-structures such as nano-vacuum gaps are used for storing energy[7] and nuclear energy conversion.[8] Self-assembled tunable materials are promising candidates for large surface area electrodes in batteries and organic photovoltaic cells, as well as for microfluidic sensors and filters.[9]

Distinctive featuresEdit

At this point, one may argue that any chemical reaction driving atoms and molecules to assemble into larger structures, such as precipitation, could fall into the category of self-assembly. However, there are at least three distinctive features that make self-assembly a distinct concept.


First, the self-assembled structure must have a higher order than the isolated components, be it a shape or a particular task that the self-assembled entity may perform. This is generally not true in chemical reactions, where an ordered state may proceed towards a disordered state depending on thermodynamic parameters.


The second important aspect of self-assembly is the key role of slack interactions (e.g. Van der Waals, capillary,  , hydrogen bonds) with respect to more "traditional" covalent, ionic, or metallic bonds. Although typically less energetic by a factor of 10, these weak interactions play an important role in materials synthesis. It can be instructive to note how slack interactions hold a prominent place in materials, especially in biological systems, although they are often considered marginal with respect to "strong" (i.e. covalent, etc.) interactions. For instance, they determine the physical properties of liquids, the solubility of solids, and the organization of molecules in biological membranes.

Building blocksEdit

The third distinctive feature of self-assembly is that the building blocks are not only atoms and molecules, but span a wide range of nano- and mesoscopic structures, with different chemical compositions, shapes and functionalities.[10] Research into possible three-dimensional shapes of self-assembling micrites examines Platonic solids (regular polyhedral). The term ‘micrite’ was created by DARPA to refer to sub-millimeter sized microrobots, whose self-organizing abilities may be compared with those of slime mold.[11][12] Recent examples of novel building blocks include polyhedra and patchy particles. Examples also included microparticles with complex geometries, such as hemispherical,[13] dimer,[14] discs,[15] rods, molecules ,[16] as well as multimers. These nanoscale building blocks can in turn be synthesized through conventional chemical routes or by other self-assembly strategies such as Directional Entropic Forces.

Thermodynamics and KineticsEdit

The self-assembly process in the microscopic region usually starts from diffusion, initialized in nucleation (seeds), progresses to seeds growth, and ends at Ostwald ripening. The macroscopic region involves single-crystal growth and aggregation of different particles, domains, and grains. The thermodynamic driving free energy can be either enthalpic or entropic or both, i.e. either bond formation or breaking (enthalpic) or packing order change (entropic). The kinetics of the self-assembly process is usually related to diffusion, for which the absorption/adsorption rate often follows a Langmuir adsorption model which in the diffusion controlled concentration (relatively diluted solution) can be estimated by the Fick's laws of diffusion. The desorption rate is determined by the bond strength of the surface molecules/atoms with a thermal activation energy barrier. The growth rate is the competition between these two processes.


Important examples of self-assembly in materials science include the formation of molecular crystals, colloids, lipid bilayers, phase-separated polymers, and self-assembled monolayers.[17][18] The folding of polypeptide chains into proteins and the folding of nucleic acids into their functional forms are examples of self-assembled biological structures. Recently, the three-dimensional macroporous structure was prepared via self-assembly of diphenylalanine derivative under cryoconditions, the obtained material can find the application in the field of regenerative medicine or drug delivery system.[19] P. Chen et al. demonstrated a microscale self-assembly method using the air-liquid interface established by Faraday wave as a template. This self-assembly method can be used for generation of diverse sets of symmetrical and periodic patterns from microscale materials such as hydrogels, cells, and cell spheroids.[20]


Self-assembly extends the scope of chemistry aiming at synthesizing products with order and functionality properties, extending chemical bonds to weak interactions and encompassing the self-assembly of nanoscale building blocks at all length scales.[21] In covalent synthesis and polymerization, the scientist links atoms together in any desired conformation, which does not necessarily have to be the energetically most favoured position; self-assembling molecules, on the other hand, adopt a structure at the thermodynamic minimum, finding the best combination of interactions between subunits but not forming covalent bonds between them. In self-assembling structures, the scientist must predict this minimum, not merely place the atoms in the location desired.

Another characteristic common to nearly all self-assembled systems is their thermodynamic stability. For self-assembly to take place without intervention of external forces, the process must lead to a lower Gibbs free energy, thus self-assembled structures are thermodynamically more stable than the single, unassembled components. A direct consequence is the general tendency of self-assembled structures to be relatively free of defects. An example is the formation of two-dimensional superlattices composed of an orderly arrangement of micrometre-sized polymethylmethacrylate (PMMA) spheres, starting from a solution containing the microspheres, in which the solvent is allowed to evaporate slowly in suitable conditions. In this case, the driving force is capillary interaction, which originates from the deformation of the surface of a liquid caused by the presence of floating or submerged particles.[22]

These two properties—weak interactions and thermodynamic stability—can be recalled to rationalise another property often found in self-assembled systems: the sensitivity to perturbations exerted by the external environment. These are small fluctuations that alter thermodynamic variables that might lead to marked changes in the structure and even compromise it, either during or after self-assembly. The weak nature of interactions is responsible for the flexibility of the architecture and allows for rearrangements of the structure in the direction determined by thermodynamics. If fluctuations bring the thermodynamic variables back to the starting condition, the structure is likely to go back to its initial configuration. This leads us to identify one more property of self-assembly, which is generally not observed in materials synthesized by other techniques: reversibility.

Self-assembly is a process which is easily influenced by external parameters. This feature can make synthesis rather complex because of the need to control many free parameters. Yet self-assembly has the advantage that a large variety of shapes and functions on many length scales can be obtained.[23]

The fundamental condition needed for nanoscale building blocks to self-assemble into an ordered structure is the simultaneous presence of long-range repulsive and short-range attractive forces.[24]

By choosing precursors with suitable physicochemical properties, it is possible to exert a fine control on the formation processes that produce complex structures. Clearly, the most important tool when it comes to designing a synthesis strategy for a material, is the knowledge of the chemistry of the building units. For example, it was demonstrated that it was possible to use diblock copolymers with different block reactivities in order to selectively embed maghemite nanoparticles and generate periodic materials with potential use as waveguides.[25]

In 2008 it was proposed that every self-assembly process presents a co-assembly, which makes the former term a misnomer. This thesis is built on the concept of mutual ordering of the self-assembling system and its environment.[26]

Self-assembly at the macroscopic scaleEdit

The most common examples of self-assembly at the macroscopic scale can be seen at interfaces between gases and liquids, where molecules can be confined at the nanoscale in the vertical direction and spread over long distances laterally. Examples of self-assembly at gas-liquid interfaces include breath-figures, self-assembled monolayers and Langmuir–Blodgett films, while crystallization of fullerene whiskers is an example of macroscopic self-assembly in between two liquids.[5][6] Another remarkable example of macroscopic self-assembly is the formation of thin quasicrystals at an air-liquid interface, which can be built up not only by inorganic, but also by organic molecular units.[27][28]

Self-assembly processes can also be observed in systems of macroscopic building blocks. These building blocks can be externally propelled[29] or self-propelled.[30] Since the 1950s, scientists have built self-assembly systems exhibiting centimeter-sized components ranging from passive mechanical parts to mobile robots.[31] For systems at this scale, the component design can be precisely controlled. For some systems, the components' interaction preferences are programmable. The self-assembly processes can be easily monitored and analyzed by the components themselves or by external observers.[32]

In April 2014, a 3D printed plastic was combined with a "smart material" that self-assembles in water,[33] resulting in "4D printing".[34]

Consistent concepts of self-organization and self-assemblyEdit

People regularly use the terms "self-organization" and "self-assembly" interchangeably. As complex system science becomes more popular though, there is a higher need to clearly distinguish the differences between the two mechanisms to understand their significance in physical and biological systems. Both processes explain how collective order develops from "dynamic small-scale interactions".[35] Self-organization is a non-equilibrium process where self-assembly is a spontaneous process that leads toward equilibrium. Self-assembly requires components to remain essentially unchanged throughout the process. Besides the thermodynamic difference between the two, there is also a difference in formation. The first difference is what "encodes the global order of the whole" in self-assembly whereas in self-organization this initial encoding is not necessary. Another slight contrast refers to the minimum number of units needed to make an order. Self-organization appears to have a minimum number of units whereas self-assembly does not. The concepts may have particular application in connection with natural selection.[36] Eventually, these patterns may form one theory of pattern formation in nature.[37]

See alsoEdit


  1. ^ a b Wetterskog, Erik; Agthe, Michael; Mayence, Arnaud; Grins, Jekabs; Wang, Dong; Rana, Subhasis; Ahniyaz, Anwar; Salazar-Alvarez, German; Bergström, Lennart (2014). "Precise control over shape and size of iron oxide nanocrystals suitable for assembly into ordered particle arrays". Science and Technology of Advanced Materials. 15 (5): 055010. Bibcode:2014STAdM..15e5010W. doi:10.1088/1468-6996/15/5/055010. PMC 5099683. PMID 27877722.
  2. ^ Pham, Tuan Anh; Song, Fei; Nguyen, Manh-Thuong; Stöhr, Meike (2014). "Self-assembly of pyrene derivatives on Au(111): Substituent effects on intermolecular interactions". Chem. Commun. 50 (91): 14089–14092. doi:10.1039/C4CC02753A. PMID 24905327.
  3. ^ Kling, Felix (2016). Diffusion and structure formation of molecules on calcite(104) (PhD). Johannes Gutenberg University Mainz.
  4. ^ Bezryadin, A.; Westervelt, R.; Tinkham, M (1999). "Self-assembled chains of graphitized carbon nanoparticles". Applied Physics Letters. 74 (18): 2699–2701. arXiv:cond-mat/9810235. Bibcode:1999ApPhL..74.2699B. doi:10.1063/1.123941.
  5. ^ a b Ariga, K.; Hill, J. P.; Lee, M. V.; Vinu, A.; Charvet, R.; Acharya, S. (2008). "Challenges and breakthroughs in recent research on self-assembly". Science and Technology of Advanced Materials. 9 (1): 014109. Bibcode:2008STAdM...9a4109A. doi:10.1088/1468-6996/9/1/014109. PMC 5099804. PMID 27877935.
  6. ^ a b Ariga, K. (2019). "Self-assembly as a key player for materials nanoarchitectonics". Science and Technology of Advanced Materials. 20 (1): 51–95. doi:10.1080/14686996.2018.1553108. PMC 6374972. PMID 30787960.
  7. ^ Hubler, A.; Lyon, D. (2013). "Gap size dependence of the dielectric strength in nano vacuum gaps". 20 (4): 1467–1471. doi:10.1109/TDEI.2013.6571470.
  8. ^ Shinn, E. (2012). "Nuclear energy conversion with stacks of graphene nanocapacitors". Complexity. 18 (3): 24–27. Bibcode:2013Cmplx..18c..24S. doi:10.1002/cplx.21427.
  9. ^ Demortiere, A.; Snezhko, A.; Sapozhnikov, M.; Becker, N.; Proslier, T.; Aranson, I. (2014). "Self-assembled tunable networks of sticky colloidal particles". Nature Communications. 5: 3117. Bibcode:2014NatCo...5E3117D. doi:10.1038/ncomms4117. PMID 24445324.
  10. ^ Damasceno, Pablo F.; Engel, Michael; Glotzer, Sharon C. (2012). "Structural Diversity and the Role of Particle Shape and Dense Fluid Behavior in Assemblies of Hard Polyhedra". arXiv:1202.2177 [cond-mat.soft].
  11. ^ Solem, J. C. (2002). "Self-assembling micrites based on the Platonic solids". Robotics and Autonomous Systems. 38 (2): 69–92. doi:10.1016/s0921-8890(01)00167-1.
  12. ^ Trewhella, J.; Solem, J. C. (1998). "Future Research Directions for Los Alamos: A Perspective from the Los Alamos Fellows" (PDF). Los Alamos National Laboratory Report LA-UR-02-7722: 9.
  13. ^ Hosein, Ian D.; Liddell, Chekesha M. (2007). "Convectively Assembled Nonspherical Mushroom Cap-Based Colloidal Crystals". Langmuir. 23 (17): 8810–8814. doi:10.1021/la700865t. PMID 17630788.
  14. ^ Hosein, Ian D.; Liddell, Chekesha M. (2007). "Convectively Assembled Asymmetric Dimer-Based Colloidal Crystals". Langmuir. 23 (21): 10479–10485. doi:10.1021/la7007254. PMID 17629310.
  15. ^ Lee, J. Alex; Meng, Linli; Norris, David J.; Scriven, L. E.; Tsapatsis, Michael (2006). "Colloidal Crystal Layers of Hexagonal Nanoplates by Convective Assembly". Langmuir. 22 (12): 5217–5219. doi:10.1021/la0601206. PMID 16732640.
  16. ^ Garcia, J. C.; Justo, J. F.; Machado, W. V. M.; Assali, L. V. C. (2009). "Functionalized adamantane: building blocks for nanostructure self-assembly". Phys. Rev. B. 80 (12): 125421. arXiv:1204.2884. Bibcode:2009PhRvB..80l5421G. doi:10.1103/PhysRevB.80.125421.
  17. ^ Whitesides, G.M.; Boncheva, M. (2002). "Beyond molecules: Self-assembly of mesoscopic and macroscopic components". PNAS. 99 (8): 4769–74. Bibcode:2002PNAS...99.4769W. doi:10.1073/pnas.082065899. PMC 122665. PMID 11959929.
  18. ^ Whitesides, George M.; Kriebel, Jennah K.; Love, J. Christopher (2005). "Molecular engineering of surfaces using self-assembled monolayers" (PDF). Science Progress. 88 (Pt 1): 17–48. CiteSeerX doi:10.3184/003685005783238462. PMID 16372593.
  19. ^ Berillo, Dmitriy; Mattiasson, Bo; Galaev, Igor Yu.; Kirsebom, Harald (2012). "Formation of macroporous self-assembled hydrogels through cryogelation of Fmoc–Phe–Phe". Journal of Colloid and Interface Science. 368 (1): 226–230. Bibcode:2012JCIS..368..226B. doi:10.1016/j.jcis.2011.11.006. PMID 22129632.
  20. ^ Chen, Pu; Luo, Zhengyuan; Güven, Sinan; Tasoglu, Savas; Ganesan, Adarsh Venkataraman; Weng, Andrew; Demirci, Utkan (2014). "Microscale Assembly Directed by Liquid-Based Template". Advanced Materials. 26 (34): 5936–5941. doi:10.1002/adma.201402079. PMC 4159433. PMID 24956442.
  21. ^ Ozin, Geoffrey A.; Arsenault, André C. (2005). Nanochemistry: a chemical approach to nanomaterials. Cambridge: Royal Society of Chemistry. ISBN 978-0-85404-664-5.
  22. ^ Denkov, N.; Velev, O.; Kralchevski, P.; Ivanov, I.; Yoshimura, H.; Nagayama, K. (1992). "Mechanism of formation of two-dimensional crystals from latex particles on substrates". Langmuir. 8 (12): 3183–3190. doi:10.1021/la00048a054.
  23. ^ Lehn, Jm (2002). "Toward self-organization and complex matter". Science. 295 (5564): 2400–3. Bibcode:2002Sci...295.2400L. doi:10.1126/science.1071063. PMID 11923524.
  24. ^ Forster, Paul M.; Cheetham, Anthony K. (2002). "Open-Framework Nickel Succinate, [Ni7(C4H4O4)6(OH)2(H2O)2]⋅2H2O: A New Hybrid Material with Three-Dimensional Ni−O−Ni Connectivity". Angewandte Chemie International Edition. 41 (3): 457–459. doi:10.1002/1521-3773(20020201)41:3<457::AID-ANIE457>3.0.CO;2-W.
  25. ^ Gazit, Oz; Khalfin, Rafail; Cohen, Yachin; Tannenbaum, Rina (2009). "Self-Assembled Diblock Copolymer "Nanoreactors" as "Catalysts" for Metal Nanoparticle Synthesis". The Journal of Physical Chemistry C. 113 (2): 576–583. doi:10.1021/jp807668h.
  26. ^ Uskoković, Vuk (2008). "Isn't self-assembly a misnomer? Multi-disciplinary arguments in favor of co-assembly". Advances in Colloid and Interface Science. 141 (1–2): 37–47. doi:10.1016/j.cis.2008.02.004. PMID 18406396.
  27. ^ Talapin, Dmitri V.; Shevchenko, Elena V.; Bodnarchuk, Maryna I.; Ye, Xingchen; Chen, Jun; Murray, Christopher B. (2009). "Quasicrystalline order in self-assembled binary nanoparticle superlattices". Nature. 461 (7266): 964–967. Bibcode:2009Natur.461..964T. doi:10.1038/nature08439. PMID 19829378.
  28. ^ Nagaoka, Yasutaka; Zhu, Hua; Eggert, Dennis; Chen, Ou (2018). "Single-component quasicrystalline nanocrystal superlattices through flexible polygon tiling rule". Science. 362 (6421): 1396–1400. Bibcode:2018Sci...362.1396N. doi:10.1126/science.aav0790. PMID 30573624.
  29. ^ Hosokawa K.; Shimoyama, I.; Miura, H. (1994). "Dynamics of self-assembling systems: Analogy with chemical kinetics". Artificial Life. 1 (4): 413–427. doi:10.1162/artl.1994.1.413.
  30. ^ Groß R.; Dorigo, M.; Mondada, Francesco; Dorigo, Marco (2006). "Autonomous self-assembly in swarm-bots". IEEE Transactions on Robotics. 22 (6): 1115–1130. doi:10.1109/TRO.2006.882919.
  31. ^ Groß R.; Dorigo, M. (2008). "Self-assembly at the macroscopic scale". Proceedings of the IEEE. 96 (9): 1490–1508. CiteSeerX doi:10.1109/JPROC.2008.927352.
  32. ^ Stephenson, C.; et., al. (2017). "Topological properties of a self-assembled electrical network via ab initio calculation". Sci. Rep. 7: 41621. Bibcode:2017NatSR...741621S. doi:10.1038/srep41621. PMC 5290745. PMID 28155863.
  33. ^ D’Monte, Leslie (7 May 2014) Indian market sees promise in 3D printers.
  34. ^ The emergence of "4D printing". (February 2013)
  35. ^ Halley, J. D.; Winkler, D.A. (2008). "Consistent Concepts of Self-organization and Self-assembly". Complexity. 14 (2): 10–17. Bibcode:2008Cmplx..14b..10H. doi:10.1002/cplx.20235.
  36. ^ Halley, J.D.; Winkler, D.A. (2008). "Critical-like self-organization and natural selection: Two facets of a single evolutionary process?". Biosystems. 92 (2): 148–158. doi:10.1016/j.biosystems.2008.01.005. PMID 18353531. We argue that critical-like dynamics self-organize relatively easily in non-equilibrium systems, and that in biological systems such dynamics serve as templates upon which natural selection builds further elaborations. These critical-like states can be modified by natural selection in two fundamental ways, reflecting the selective advantage (if any) of heritable variations either among avalanche participants or among whole systems.
  37. ^ Halley, J. D.; Winkler, D.A. (2008). "Consistent Concepts of Self-organization and Self-assembly". Complexity. 14 (2): 15. Bibcode:2008Cmplx..14b..10H. doi:10.1002/cplx.20235. [...] it may one day even be possible to integrate these pattern forming mechanisms into the one general theory of pattern formation in nature.

External links and further readingEdit