Nucleation of a new phase on a surface that is changing irreversibly with time

Sear, Richard P.

doi:10.1103/physreve.89.022405

Cited by 7 publications

(12 citation statements)

References 33 publications

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“…2 Plot of the probability that nucleation has not occurred, P(t), as a function of time, t, for computer simulation of nucleation in a simple lattice model. 7 Time is in units of computer simulation cycles. The solid purple curve is at a supersaturation of 2h/kT = 0.16, and is for nucleation on a surface that is not changing with time (r D = 0).…”

Section: Class I: Exponential P(t)mentioning

confidence: 99%

“…15,19,22,55,59,60 This surface may be of a nanoscale object. 28,59 These surfaces are often rough and disordered 7,19,27,59 and the nucleation rate at a surface is very sensitive to almost all details of local surface chemistry and geometry. 15,33,[61][62][63][64] Thus there will only be a single nucleation barrier at a totally flat smooth edgeless surface.…”

Section: The Classical Theory For the Nucleation Of Crystalsmentioning

confidence: 99%

“…This was studied in earlier computer simulation work on a lattice model by the author. 7 The model follows directly from the assumption that h(t) is an exponential function of time 5,70…”

Section: Model For Nucleation In a System Evolving With Timementioning

confidence: 99%

“…Note that this assumption of an exponential variation is just a simple model; in general we have no reason to believe that the dependence is precisely exponential. Putting eqn (9) into eqn (1), and solving the differential equation, we obtain 7,70…”

Section: Model For Nucleation In a System Evolving With Timementioning

confidence: 99%

“…For example, if nucleation is occurring on a surface and that surface is changing with time, then the nucleation barriers and hence rates will change with time. 7 An example of this, but in a simple lattice model, not for the nucleation of crystals, is shown in Fig. 2.…”

Section: Modelsmentioning

confidence: 99%

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Quantitative studies of crystal nucleation at constant supersaturation: experimental data and models

2014

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Section: Class I: Exponential P(t)mentioning

confidence: 99%

Section: The Classical Theory For the Nucleation Of Crystalsmentioning

confidence: 99%

“…This was studied in earlier computer simulation work on a lattice model by the author. 7 The model follows directly from the assumption that h(t) is an exponential function of time 5,70…”

Section: Model For Nucleation In a System Evolving With Timementioning

confidence: 99%

Section: Model For Nucleation In a System Evolving With Timementioning

confidence: 99%

Section: Modelsmentioning

confidence: 99%

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Quantitative studies of crystal nucleation at constant supersaturation: experimental data and models

2014

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Energetic Basis for Inhibition of Calcium Phosphate Biomineralization by Osteopontin

Wang

Putnis

2017

J. Phys. Chem. B

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Calcium oxalate kidney stones form attached to Randall's plaques (RP), calcium phosphate (Ca-P) deposits on the renal papillary surface. Osteopontin (OPN) suppresses crystal growth in the complex process of urinary stone formation, but the inhibitory role of active domains of OPN involved in the initial formation of the RPs attached to epithelial cells has yet to be clarified. Here we demonstrate the thermodynamic basis for how OPN sequences regulate the onset of Ca-P mineral formation on lipid rafts as a model membrane. We first quantify the kinetics of hydroxyapatite (HAP) nucleation on membrane substrates having liquid-condensed (LC) and liquid-expanded (LE) phases using in situ atomic force microscopy (AFM). We find that rates are sequence-dependent, and the thermodynamic barrier to nucleation is reduced by minimizing the interfacial free energy γ. Combined with single-molecule determination of the binding energy (ΔG) of the OPN peptide segments adsorbed to the HAP (100) face, we show a linear relationship of γ and ΔG, suggesting that the increase in the nucleation barriers correlates with strong peptide-crystal nuclei binding. These findings reveal fundamental energetic clues for inhibition of membrane-mediated nucleation by sequence motifs and subdomains within the OPN protein through spatial location of charged moieties and provide insight connecting peripheral cell membranes to pathological mineralization.

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Size and Shape Control of Micron-Sized Salicylic Acid Crystals during Antisolvent Crystallization

Tierney

Rasmuson

Hudson

2017

Org. Process Res. Dev.

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During an antisolvent crystallization process, micron-sized crystals of salicylic acid in the particle size range 20 to 150 μm were prepared under specific sets of crystallization conditions, with a focus on drug concentration, temperature, and solvent composition. For each experiment, the size outcome was determined by a number of knock on (often competing) influencing factors, including supersaturation, mass available for deposition during crystallization, and influence of temperature and solvent composition on crystallization kinetics. A certain fraction of the crystals, especially at higher solute concentration, developed a spectacular hollow shape with an almost perfect rectangular outer cross-section. A mechanistic explanation for the formation of hollow crystals is proposed. The use of additives during crystallization introduced further control over the size and, perhaps more noticeably, over the shape of the salicylic acid crystals. The lengths of salicylic acid crystals decreased to as low as 6 μm with increasing concentration of HPMC. Both HPMC and CMC induced a change in the crystal habit from square prisms (for the pure system) to needles, due to the structural ability of these additives to selectively attach through hydrogen bonding to the dominating 110 faces of the crystals and slow down growth in that direction. SDS exhibited less of an influence on the size, but due to its attachment to the 001 faces, it prevented indentation of these faces from occurring and thus prevented the formation of hollow crystals.

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Nucleation of a new phase on a surface that is changing irreversibly with time

Cited by 7 publications

References 33 publications

Quantitative studies of crystal nucleation at constant supersaturation: experimental data and models

Quantitative studies of crystal nucleation at constant supersaturation: experimental data and models

Energetic Basis for Inhibition of Calcium Phosphate Biomineralization by Osteopontin

Size and Shape Control of Micron-Sized Salicylic Acid Crystals during Antisolvent Crystallization

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