![]() 7 When the growth condition is relatively far from equilibrium, meaning the increase of driving force, random polycrystals may aggregate into an entity displaying spherulitic morphology. Crystalline morphology is governed by the cooperation of the driving force of crystallization and the transport of atom, ions, molecules, and heat. 6 proposed the fractal growth kinematics of snow-flakes with many self-similar multilevel small structures. Snowflakes or aggregates of self-similar snow/ice single crystals are well known to be an excellent example of fractal patterns in nature. 5 studied the relationship between the fractal-ladder viscoelastic behavior of bio-fibers with fractal ladder hyper-cell structures. 4 by using high-resolution atomic-force microscopy (AFM), investigated the fractal self-assembly of silk protein sericin, and observed the fractal structure of the silk protein’s self-assembly, where they proposed that the protein globules may be thought to act as seeds for the subsequent attachment of protein molecules and the formation of the fractal architectures. Fractal patterns are widely seen in hierarchical structural assemblies in natural materials. Self-assembly of organic or inorganic compounds, of either small-molecules or polymers, has been interesting and intriguing, yet complex issues, in soft matters either synthetic or natural. Crystallization of atoms or molecular compounds into ordered states has been a complex yet fascinating phenomenon that has attracted extensive scientific studies from classical to modern times, to cite just a few recent examples 1, 2, 3. The crystallization process may occur in sequential steps to gradually increase the degree of order while in the meantime the hierarchical aggregation structures may diversify in patterns and vary significantly in increasingly higher-order morphologies. Similar content being viewed by othersĬooling of a matter in liquid state causes it to crystallize into either 2D or 3D ordered states. The detailed growth mechanisms of the novel fractal-branching assembly into circular- or grating-banded patterns are analyzed in this work. Crystal assembly of these three periodic morphologies was analyzed by utilizing atomic-force microscopy (AFM) and scanning electron microscopy (SEM) to reveal the mechanisms of formation of hierarchical structures of PA. ![]() A unique periodic fractal-branch pattern with contrasted birefringent bands exists at intermediate evaporation rate, and this unique grating architecture has never been found in other banded crystals. ![]() With increasing evaporation rate, the morphology of PA crystals systematically changes from circular-banded spherulites to highly ordered grating-banded patterns. Several compositions of the mixture of ethanol/water solutions and evaporation temperatures were also manipulated to investigate the kinetic effects on the morphology of PA crystals. It is said that Dendritic Agate was used for healing as far back as Neolithic times, which is 5,000 to 15,000 years ago!ĭendritic Agate is also connected to the Dryads, the mythical Greek spirits of trees and forests.Small-molecule phthalic acid (PA), confined in micrometer thin films, was crystallized in the presence of strongly interacting tannic acid (TA) to investigate crystal assembly and correlation between banded patterns and branching structures. This symbolizes the strength and stability that Dendritic Agate provides, connecting you with the Earth and your inner self. It opens you to new opportunities and experiences.ĭendritic Agate’s inclusions also look like roots. It encourages self-acceptance and helps to transform negative energies into positive.ĭendritic Agate is overflowing with plentitude and attracts abundance, prosperity, and growth. Before you can take advantage of the growth opportunities Dendritic Agate inspires, it first helps you connect with yourself and your own gifts. It also allows you to gain insight into yourself. It is especially known for:īringing stability in times of strife or confusionĭendritic Agate helps to expand your knowledge and insight into the world. The tree-like inclusions symbolize the growth that Dendritic Agate can bring into your life.
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