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1. How to Identify the Crystal Growth Unit

   https://doi.org/10.1002/ijch.202100081  

   Verma, Lakshmanji; Warzecha, Monika; Chakrabarti, Rajshree; Hadjiev, Viktor G.; Palmer, Jeremy C.; Vekilov, Peter G. (October 2021, Israel Journal of Chemistry)

   Abstract The structure and composition of the crystal growth unit are of huge fundamental and practical consequence. We propose a method to identify the solute species that incorporates into the growth site on crystal surfaces, the kinks, which rests on the kinetics of the elementary reaction at the kinks. We use as model crystals olanzapine, an antipsychotic medication, and etioporphyrin I, a field‐effect transistor. We combine time‐resolvedin situatomic force microscopy with Raman and absorption spectroscopies, complemented by density functional theory and all‐atom molecular dynamics modeling of the solutions. We show that the structure of the growth unit cannot be deduced neither from the solute oligomers nor from the crystal structure. Chemical kinetics analyses reveal that if the dominant solute species is the one that incorporates into the crystal growth sites, then the kinetics of layer growth complies with a monomolecular rate law. By contrast, if the crystal growth unit assembles from two units of the dominant solute form, a bimolecular rate law ensues. Solutions of both olanzapine and etioporphyrin I are dominated by solute monomers, which exist in equilibrium with a minority of dimers. Whereas numerous olanzapine crystal structures incorporate dimer motifs, etioporphyrin I crystals organize as stacks of monomers. Olanzapine crystal grow by incorporation of dimers. One of the studied face of etioporphyrin I grows by incorporation of the majority monomers, whereas the other one selects the minority dimers as a growth unit. The results highlight the power of the crystallization kinetics analyses to identify the growth unit and illuminate one of the most challenging issues of crystal growth. 

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2. Uncovering the effects of interface-induced ordering of liquid on crystal growth using machine learning

   https://doi.org/10.1038/s41467-020-16892-4  

   Freitas, Rodrigo; Reed, Evan J. (June 2020, Nature Communications)

   Abstract The process of crystallization is often understood in terms of the fundamental microstructural elements of the crystallite being formed, such as surface orientation or the presence of defects. Considerably less is known about the role of the liquid structure on the kinetics of crystal growth. Here atomistic simulations and machine learning methods are employed together to demonstrate that the liquid adjacent to solid-liquid interfaces presents significant structural ordering, which effectively reduces the mobility of atoms and slows down the crystallization kinetics. Through detailed studies of silicon and copper we discover that the extent to which liquid mobility is affected by interface-induced ordering (IIO) varies greatly with the degree of ordering and nature of the adjacent interface. Physical mechanisms behind the IIO anisotropy are explained and it is demonstrated that incorporation of this effect on a physically-motivated crystal growth model enables the quantitative prediction of the growth rate temperature dependence. 

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3. Diffusionless rotator–crystal transitions in colloidal truncated cubes

   https://doi.org/10.1063/5.0216886  

   Sharma, Abhishek Kumar; Escobedo, Fernando A (July 2024, The Journal of Chemical Physics)

   Upon osmotic compression, rotationally symmetric faceted colloidal particles can form translationally ordered, orientationally disordered rotator mesophases. This study explores the mechanism of rotator-to-crystal phase transitions where orientational order is gained in a translationally ordered phase, using rotator-phase forming truncated cubes as a testbed. Monte Carlo simulations were conducted for two selected truncations (s), one for s = 0.527 where the rotator and crystal lattices are dissimilar and one for s = 0.572 where the two phases have identical lattices. These differences set the stage for a qualitative difference in their rotator–crystal transitions, highlighting the effect of lattice distortion on phase transition kinetics. Our simulations reveal that significant lattice deviatoric effects could hinder the rotator-to-crystal transition and favor arrangements of lower packing fraction instead. Indeed, upon compression, it is found that for s = 0.527, the rotator phase does not spontaneously transition into the stable, densely packed crystal due to the high lattice strains involved but instead transitions into a metastable solid phase to be colloquially referred to as “orientational salt” for short, which has a similar lattice as the rotator phase and exhibits two distinct particle orientations having substitutional order, alternating regularly throughout the system. This study paves the way for further analysis of diffusionless transformations in nanoparticle systems and how lattice-distortion could influence crystallization kinetics. 

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4. Effect of particle anisotropy on the thermodynamics and kinetics of ordering transitions in hard faceted particles

   https://doi.org/10.1063/5.0135461  

   Sharma, Abhishek K.; Escobedo, Fernando A. (January 2023, The Journal of Chemical Physics)

   Monte Carlo simulations were used to study the influence of particle aspect ratio on the kinetics and phase behavior of hard gyrobifastigia (GBF). First, the formation of a highly anisotropic nucleus shape in the isotropic-to-crystal transition in regular GBF is explained by the differences in interfacial free energies of various crystal planes and the nucleus geometry predicted by the Wulff construction. GBF-related shapes with various aspect ratios were then studied, mapping their equations of state, determining phase coexistence conditions via interfacial pinning, and computing nucleation free-energy barriers via umbrella sampling using suitable order parameters. Our simulations reveal a reduction of the kinetic barrier for isotropic–crystal transition upon an increase in aspect ratio, and that for highly oblate and prolate aspect ratios, an intermediate nematic phase is stabilized. Our results and observations also support two conjectures for the formation of the crystalline state from the isotropic phase: that low phase free energies at the ordering phase transition correlate with low transition barriers and that the emergence of a mesophase provides a steppingstone that expedites crystallization. 

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5. Crystal nucleation in an AlNiZr metallic liquid: Within and beyond classical nucleation theory

   https://doi.org/10.1016/j.actamat.2024.119860  

   Chen, Fangzheng; Sheng, Yelin; Dahlberg, Kian Cole; Nussinov, Zohar; Kelton, KF (May 2024, Acta Materialia)

   The Classical Nucleation Theory (CNT) has played a key role in crystal nucleation studies since the 19th century and has significantly advanced the understanding of nucleation. However, certain key assumptions of CNT, such as a compact and spherical nucleating cluster and the concept of individual diffusive jumps are questionable. The results of molecular dynamics (MD) studies of crystal nucleation in a Al 20 Ni 60 Zr 20 metallic liquid demonstrate that the nucleating cluster is neither spherical nor compact. The seeding method was employed to determine the critical cluster size and nucleation parameters from CNT, which were then compared to those derived from the Mean First Passage Time (MFPT) method. While the CNT-based nucleation rate aligns well with experimental data from similar metallic liquids, the MFPT rate differs significantly. Further, contrary to the assumption of individual jumps for atoms to join the nucleating cluster, a cooperative mechanism of attachment or detachment is observed. This is accompanied by synchronized changes in the local potential energy. Similar cooperative motion also appeared in a non-classical nucleation process, particularly during the coalescence of nuclei. 

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