Ion-association complexes unite classical and non-classical theories for the biomimetic nucleation of calcium phosphate
Open accessAbstract
Despite its importance in many industrial, geological and biological processes, the mechanism of crystallization from supersaturated solutions remains a matter of debate. Recent discoveries show that in many solution systems nanometre-sized structural units are already present before nucleation. Still little is known about the structure and role of these so-called pre-nucleation clusters. Here we present a combination of in situ investigations, which show that for the crystallization of calcium phosphate these nanometre-sized units are in fact calcium triphosphate complexes. Under conditions in which apatite forms from an amorphous calcium phosphate precursor, these complexes aggregate and take up an extra calcium ion to form amorphous calcium phosphate, which is a fractal of Ca(2)(HPO(4))(3)(2-) clusters. The calcium triphosphate complex also forms the basis of the crystal structure of octacalcium phosphate and apatite. Finally, we demonstrate how the existence of these complexes lowers the energy barrier to nucleation and unites classical and non-classical nucleation theories.
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Experiments on Posner clusters have been conducted, but their coherence has not yet been studied experimentally.
“Furthermore, experiments on Posner clusters have been conducted to provide insights into their properties, but their coherence has not yet been studied experimentally [92,93,94,95,96].”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [94]
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Cites
Kinetische Behandlung der Keimbildung in übersättigten Dämpfen
Becker, R., & Döring, W. (1935) · Annalen der Physik · doi:10.1002/andp.19354160806 · Cited by 3,155 · see citing works
Keimbildung in übersättigten Gebilden
Volmer, M., & Weber, Α. (1926) · Zeitschrift für Physikalische Chemie · doi:10.1515/zpch-1926-11927 · Cited by 1,936 · see citing works
Novel bioactive materials with different mechanical properties
Kokubo, T., Kim, H. M., & Kawashita, M. (2003) · Biomaterials · doi:10.1016/s0142-9612(03)00044-9 · Cited by 1,920 · see citing works
Tanford, C. (1980) · Cited by 1,903 · see citing works
Stable Prenucleation Calcium Carbonate Clusters
Gebauer, D., Völkel, A., & Cölfen, H. (2008) · Science · doi:10.1126/science.1164271 · Cited by 1,673 · see citing works
Calcium Phosphate-Based Osteoinductive Materials
LeGeros, R. Z. (2008) · Chemical Reviews · doi:10.1021/cr800427g · Cited by 1,321 · see citing works
Nucleation of Crystals from Solution: Classical and Two-Step Models
Erdemir, D., Lee, A. Y., & Myerson, A. S. (2009) · Accounts of Chemical Research · doi:10.1021/ar800217x · Cited by 1,197 · see citing works
Nudelman, F., Pieterse, K., George, A., Bomans, P. H. H., Friedrich, H., Brylka, L., Hilbers, P. A. J., de With, G., & Sommerdijk, N. A. J. M. (2010) · Nature Materials · doi:10.1038/nmat2875 · Cited by 1,185 · see citing works
Self-citationEquilibrium cluster formation in concentrated protein solutions and colloids
Stradner, A., Sedgwick, H., Cardinaux, F., Poon, W. C. K., Egelhaaf, S. U., & Schurtenberger, P. (2004) · Nature · doi:10.1038/nature03109 · Cited by 1,072 · see citing works
Studien über die Bildung und Umwandlung fester Körper
Ostwald, W. (1897) · Zeitschrift für Physikalische Chemie · doi:10.1515/zpch-1897-2233 · Cited by 1,055 · see citing works
Calcium Orthophosphates: Crystallization and Dissolution
Wang, L., & Nancollas, G. H. (2008) · Chemical Reviews · doi:10.1021/cr0782574 · Cited by 1,033 · see citing works
Nucleus formation in supersaturated systems
Volmer, M. (1926) · Zeitschrift für Physikalische Chemie · Cited by 988 · see citing works
The Initial Stages of Template-Controlled CaCO 3 Formation Revealed by Cryo-TEM
Pouget, E. M., Bomans, P. H. H., Goos, J. A. C. M., Frederik, P. M., de With, G., & Sommerdijk, N. A. J. M. (2009) · Science · doi:10.1126/science.1169434 · Cited by 916 · see citing works
Self-citationThe role of prenucleation clusters in surface-induced calcium phosphate crystallization
Dey, A., Bomans, P. H. H., Müller, F. A., Will, J., Frederik, P. M., de With, G., & Sommerdijk, N. A. J. M. (2010) · Nature Materials · doi:10.1038/nmat2900 · Cited by 786 · see citing works
Self-citationVekilov, P. G. (2010) · Crystal Growth & Design · doi:10.1021/cg1011633 · Cited by 740 · see citing works
Limits of the Fractal Dimension for Irreversible Kinetic Aggregation of Gold Colloids
Weitz, D. A., Huang, J. S., Lin, M. Y., et al. (1985) · Physical Review Letters · doi:10.1103/physrevlett.54.1416 · Cited by 698 · see citing works
Synthetic amorphous calcium phosphate and its relation to bone mineral structure
Posner, A. S., & Betts, F. (1975) · Accounts of Chemical Research · doi:10.1021/ar50092a003 · Cited by 605 · see citing works
Stable prenucleation mineral clusters are liquid-like ionic polymers
Demichelis, R., Raiteri, P., Gale, J. D., Quigley, D., & Gebauer, D. (2011) · Nature Communications · doi:10.1038/ncomms1604 · Cited by 583 · see citing works
Mahamid, J., Sharir, A., Addadi, L., & Weiner, S. (2008) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0803354105 · Cited by 572 · see citing works
Energetic clues to pathways to biomineralization: Precursors, clusters, and nanoparticles
Navrotsky, A. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0404778101 · Cited by 555 · see citing works
Intermediate States in the Precipitation of Hydroxyapatite
Eanes, E. D., GILLESSEN, I. H., & Posner, A. S. (1965) · Nature · doi:10.1038/208365a0 · Cited by 517 · see citing works
Amorphous calcium (ortho)phosphates
Dorozhkin, S. V. (2010) · Acta Biomaterialia · doi:10.1016/j.actbio.2010.06.031 · Cited by 489 · see citing works
Mahamid, J., Aichmayer, B., Shimoni, E., Ziblat, R., Li, C., Siegel, S., Paris, O., Fratzl, P., Weiner, S., & Addadi, L. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0914218107 · Cited by 452 · see citing works
Self-citationInterfacial tensions electrolyte crystal-aqueous solution, from nucleation data
Nielsen, A. E., & Sohnel, O. (1971) · Journal of Crystal Growth · doi:10.1016/0022-0248(71)90090-x · Cited by 394 · see citing works
Crane, N. J., Popescu, V., Morris, M. D., Steenhuis, P., & Ignelzi, M. A. (2006) · Bone · doi:10.1016/j.bone.2006.02.059 · Cited by 387 · see citing works
Cluster Growth Model for Hydroxyapatite
Onuma, K., & Ito, A. (1998) · Chemistry of Materials · doi:10.1021/cm980062c · Cited by 360 · see citing works
Gadaleta, S. J., Paschalis, E. P., Betts, F., Mendelsohn, R., & Boskey, A. L. (1996) · Calcified Tissue International · doi:10.1007/bf02509540 · Cited by 325 · see citing works
Calcium phosphate formation in vitro
Termine, J. D., Peckauskas, R. A., & Posner, A. S. (1970) · Archives of Biochemistry and Biophysics · doi:10.1016/0003-9861(70)90072-x · Cited by 273 · see citing works
Anomalously Large Equilibrium Clusters of Colloids
Groenewold, J., & Kegel, W. K. (2001) · The Journal of Physical Chemistry B · doi:10.1021/jp011646w · Cited by 266 · see citing works
DiffTools: Electron diffraction software tools for DigitalMicrograph™
Mitchell, D. R. G. (2008) · Microscopy Research and Technique · doi:10.1002/jemt.20591 · Cited by 246 · see citing works
Homogeneous nucleation and the Ostwald step rule
ten Wolde, P. R., & Frenkel, D. (1999) · Physical Chemistry Chemical Physics · doi:10.1039/a809346f · Cited by 239 · see citing works
The thermodynamics of calcite nucleation at organic interfaces: Classical vs. non-classical pathways
Hu, Q., Nielsen, M. H., Freeman, C. L., Hamm, L. M., Tao, J., Lee, J. R. I., Han, T. Y.-J., Becker, U., Harding, J. H., Dove, P. M., et al. (2012) · Faraday Discussions · doi:10.1039/c2fd20124k · Cited by 231 · see citing works
Self-citationOctacalcium phosphate. 3. Infrared and Raman vibrational spectra
Fowler, B. O., Marković, M., & Brown, W. E. (1993) · Chemistry of Materials · doi:10.1021/cm00034a009 · Cited by 229 · see citing works
Controlling the growth and shape of chiral supramolecular polymers in water
Besenius, P., Portale, G., Bomans, P. H. H., Janssen, H. M., Palmans, A. R. A., & Meijer, E. W. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1009592107 · Cited by 224 · see citing works
Self-citationRelationships between Polyphosphate Chemistry, Biochemistry and Apatite Biomineralization
Omelon, S. J., & Grynpas, M. D. (2008) · Chemical Reviews · doi:10.1021/cr0782527 · Cited by 223 · see citing works
A contribution to the understanding of the formation of calcium phosphates
Christoffersen, J., Christoffersen, M. R., Kibalczyc, W., & Andersen, F. A. (1989) · Journal of Crystal Growth · doi:10.1016/0022-0248(89)90102-4 · Cited by 189 · see citing works
Sauer, G. R., & Wuthier, R. E. (1988) · Journal of Biological Chemistry · doi:10.1016/s0021-9258(18)68300-0 · Cited by 185 · see citing works
Calcium phosphate formation in vitro
Termine, J. D., & Posner, A. S. (1970) · Archives of Biochemistry and Biophysics · doi:10.1016/0003-9861(70)90071-8 · Cited by 180 · see citing works
An X-ray radial distribution study of amorphous calcium phosphate
Betts, F., & Posner, A. S. (1974) · Materials Research Bulletin · doi:10.1016/0025-5408(74)90087-7 · Cited by 171 · see citing works
Bonar, L. C., Roufosse, A., Sabine, W. K., Grynpas, M. D., & Glimcher, M. J. (1983) · Calcified Tissue International · doi:10.1007/bf02405032 · Cited by 167 · see citing works
Paris, O., Li, C., Siegel, S., Weseloh, G., Emmerling, F., Riesemeier, H., Erko, A. I., & Fratzl, P. (2006) · Journal of Applied Crystallography · doi:10.1107/s0021889806045444 · Cited by 155 · see citing works
A Unique Protonated Phosphate Group in Bone Mineral Not Present in Synthetic Calcium Phosphates
Wu, Y., Glimcher, M. J., Rey, C. C., et al. (1994) · Journal of Molecular Biology · doi:10.1006/jmbi.1994.1740 · Cited by 152 · see citing works
Kazanci, M., Fratzl, P., Klaushofer, K., & Paschalis, E. P. (2006) · Calcified Tissue International · doi:10.1007/s00223-006-0011-9 · Cited by 148 · see citing works
Fratzl, P. (2003) · Journal of Applied Crystallography · doi:10.1107/s0021889803000335 · Cited by 147 · see citing works
Precipitation of calcium phosphates from electrolyte solutions
Brečević, L., & Füredi-Milhofer, H. (1972) · Calcified Tissue International · doi:10.1007/bf02012538 · Cited by 141 · see citing works
Towards the zero-surface-tension limit in granular fingering instability
Cheng, X., Xu, L., Patterson, A., et al. (2008) · Nature Physics · doi:10.1038/nphys834 · Cited by 132 · see citing works
Meyer, J. L., & Eanes, E. D. (1978) · Calcified Tissue International · doi:10.1007/bf02010771 · Cited by 131 · see citing works
Manning, G. S. (2011) · The European Physical Journal E · doi:10.1140/epje/i2011-11132-6 · Cited by 131 · see citing works
Graßhoff, G. (1990) · Studies in the history of mathematics and physical sciences · doi:10.1007/978-1-4612-4468-4_7 · Cited by 127 · see citing works
The size dependence of the surface free energy of titania nanocrystals
Zhang, H., Chen, B., & Banfield, J. F. (2009) · Physical Chemistry Chemical Physics · doi:10.1039/b819623k · Cited by 121 · see citing works
The structure of aqueous solutions of some dihydrogen orthophosphates by laser Raman spectroscopy
Cerreta, M. K., & Berglund, K. A. (1987) · Journal of Crystal Growth · doi:10.1016/0022-0248(87)90048-0 · Cited by 107 · see citing works
An intermediate state in hydrolysis of amorphous calcium phosphate
Tung, M. S., & Brown, W. E. (1983) · Calcified Tissue International · doi:10.1007/bf02405124 · Cited by 101 · see citing works
The Solubility of Octacalcium Phosphate at 37°C in the System Ca(OH)2-H 3PO4-KNO3-H2O
Shyu, L. J., Perez, L., Zawacki, S. J., et al. (1983) · Journal of Dental Research · doi:10.1177/00220345830620031901 · Cited by 93 · see citing works
The effect of magnesium ions on the precipitation of calcium phosphates
Kibalczyc, W., Christoffersen, J., Christoffersen, M. R., et al. (1990) · Journal of Crystal Growth · doi:10.1016/0022-0248(90)90080-5 · Cited by 82 · see citing works
Effective interactions between charged nanoparticles in water: What is left from the DLVO theory?
Dahirel, V., & Jardat, M. (2009) · Current Opinion in Colloid & Interface Science · doi:10.1016/j.cocis.2009.05.006 · Cited by 72 · see citing works
Friddle, R. W., Weaver, M. L., Qiu, S., Wierzbicki, A., Casey, W. H., & Yoreo, J. J. D. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0908205107 · Cited by 72 · see citing works
Precipitation of calcium phosphates from electrolyte solutions
Despotović, R., Filipović-Vinceković, N., & Füredi-Milhofer, H. (1975) · Calcified Tissue International · doi:10.1007/bf02546223 · Cited by 72 · see citing works
Calcium phosphate nanoparticles with adjustable dispersability and crystallinity
Urch, H., Vallet‐Regí, M., Ruiz, L., et al. (2009) · Journal of Materials Chemistry · doi:10.1039/b810026h · Cited by 62 · see citing works
Role of ATP and Mg in the stabilization of biological and synthetic amorphous calcium phosphates
Posner, A. S., Betts, F., & Blumenthal, N. C. (1976) · Calcified Tissue International · doi:10.1007/bf02064066 · Cited by 46 · see citing works
Crystal morphology of octacalcium phosphate: Theory and observation
Terpstra, R. A., & Bennema, P. (1987) · Journal of Crystal Growth · doi:10.1016/0022-0248(87)90333-2 · Cited by 35 · see citing works
Crystallization and Dissolution
Berk, Z. (2009) · Elsevier eBooks · doi:10.1016/b978-0-12-373660-4.00014-4 · Cited by 5 · see citing works
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Research works printed but not linked: 1
- Denton, A. R. Charge renormalization, effective interactions, and thermodynamics of deionized colloidal suspensions. J. Phys.:Condens. Matter 20, 494230 (2008).
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Crystallization by particle attachment in synthetic, biogenic, and geologic environments
De Yoreo, J. J., Gilbert, P. U. P. A., Sommerdijk, N. A. J. M., Penn, R. L., Whitelam, S., Joester, D., Zhang, H., Rimer, J. D., Navrotsky, A., Banfield, J. F., et al. (2015) · Science · doi:10.1126/science.aaa6760 · Cited by 2,137 · see citing works
Self-citationTransformation of amorphous calcium phosphate to bone-like apatite
Lotsari, A., Rajasekharan, A. K., Halvarsson, M., & Andersson, M. (2018) · Nature Communications · doi:10.1038/s41467-018-06570-x · Cited by 426 · see citing works
Raudsepp, M. J., Wilson, S., Morgan, B., Patel, A., Johnston, S. G., Gagen, E. J., & Fallon, S. J. (2022) · Sedimentology · doi:10.1111/sed.12991 · Cited by 29 · see citing works
Quantum Models of Consciousness from a Quantum Information Science Perspective
Gassab, L., Pusuluk, O., Cattaneo, M., & Müstecaplıoğlu, Ö. E. (2025) · Entropy · doi:10.3390/e27030243 · Cited by 14 · see citing works
- Authors
- Habraken, W. J. E. M., Tao, J., Brylka, L. J., Friedrich, H., Bertinetti, L., Schenk, A. S., Verch, A., Dmitrovic, V., Bomans, P. H. H., Frederik, P. M., Laven, J., van der Schoot, P., Aichmayer, B., de With, G., DeYoreo, J. J., & Sommerdijk, N. A. J. M.
- Affiliations
- Eindhoven University of Technology (NL)
- Lawrence Berkeley National Laboratory (US)
- Max Planck Institute of Colloids and Interfaces (DE)
- Corresponding author
- DeYoreo, James J.
- Sommerdijk, Nico A. J. M.
- ORCID
- Venue
- Nature Communications
- Published
- 2013-02-19
- Volume
- 4
- Issue
- 1
- Pages
- 1507-1507
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W1969794321
- Cited by
- 821
- References
- 61
- Citations by year
- 2026: 54 · 2025: 66 · 2024: 79 · 2023: 77 · 2022: 65 · 2021: 76 · 2020: 69 · 2019: 61 · 2018: 68 · 2017: 60 · 2016: 56 · 2015: 26 · 2014: 37 · 2013: 26
- FWCI
- 18.46
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
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- Nature Communications (publishedVersion)
- PubMed (publishedVersion)
- TU/e Research Portal (acceptedVersion, other-oa)
- TU/e Research Portal (submittedVersion, other-oa)
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- RePEc: Research Papers in Economics (submittedVersion)
- Utrecht University Repository (Utrecht University) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- ERef Bayreuth (University of Bayreuth) (submittedVersion)
- Max Planck Digital Library (submittedVersion)
- HZB Repository (Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (HZB)) (submittedVersion, other-oa)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- Funders
- U.S. Department of Energy (DE‐AC02‐05CH1123, AC02-05CH1123, DE-AC02-)
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- National Institutes of Health (DE-AC02-05CH1123)
- Office of Science (DE‐AC02‐05CH1123, DE-AC02)
- National Institute of Diabetes and Digestive and Kidney Diseases (R01DK061673, DK61673)
- Basic Energy Sciences (DE-AC02, DE-AC0205CH1123)
- Topics
- Physical Sciences › Materials Science › Biomaterials › Calcium Carbonate Crystallization and Inhibition
- Physical Sciences › Materials Science › Materials Chemistry › Crystallization and Solubility Studies
- Physical Sciences › Engineering › Biomedical Engineering › Bone Tissue Engineering Materials
- Keywords
- calcium phosphate crystallization, prenucleation clusters, ion-association complex, amorphous calcium phosphate, octacalcium phosphate, apatite, nucleation barrier, biomimetic mineralization, fractal clusters
- MeSH terms
- Animals, Calcium, Calcium Phosphates, Cattle, Collagen, Hydrogen-Ion Concentration, Ions, Kinetics, Models, Chemical, Models, Molecular, Particle Size, Polymers, Thermodynamics, X-Ray Diffraction, Synchrotrons, Spectroscopy, Fourier Transform Infrared, Durapatite, Microscopy, Atomic Force, Cryoelectron Microscopy, Biomimetic Materials, Nanoparticles, Static Electricity
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