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Crystal growth

physical science Maturity 7-9 Next article →

Crystal growth is a fundamental stage in the process of crystallization. It involves the continuous addition of new atoms, ions, or polymer strings into a specific arrangement called a crystalline lattice.

Schematic of crystal growth of simple cubic lattice, showing additional molecule adding in corner
Schematic of crystal growth of simple cubic lattice, showing additional molecule adding in corner

This lattice creates a solid where particles are close-packed and held in fixed positions. Because of this structure, crystalline solids exhibit great structural rigidity. They show a very high resistance to deformation, meaning they do not easily change shape or volume. This is measured by high values in the Young's modulus and the shear modulus of elasticity. This stands in stark contrast to liquids, which have a low shear modulus and can flow.

ImgSalt
ImgSalt

Before growth can occur, a stable nucleus must form through a process called nucleation. This can happen via homogeneous nucleation, where the nucleus forms on its own. Alternatively, it can occur through heterogeneous nucleation, which is influenced by foreign particles.

Silver surface crystal growth SEM
Silver surface crystal growth SEM

Heterogeneous nucleation is generally faster because foreign particles act as a scaffold. This reduces the energy required to create a new surface. Nucleation sites can include small scratches on glassware or added substances like a string or a rock. Using a container with many scratches results in many small crystals. However, adding a single "seed" crystal can help grow one large, single crystal.

Once a nucleus is established, the growth stage begins. This stage is significantly faster than the initial nucleation phase. This rapid speed is due to the presence of dislocations and other defects within real crystals. These defects act as a catalyst, making it easier for new particles to join the existing structure. In contrast, a perfect crystal without any defects would grow exceedingly slowly. While defects speed up growth, impurities can have the opposite effect. Impurities can act as growth inhibitors or change the crystal habit, which is the characteristic shape of the crystal.

Scientists have identified different ways that a crystal surface advances. In the theory of growth from a melt, researchers Keith Burton and Nicolás Cabrera distinguished between two major mechanisms. The first is non-uniform lateral growth. In this mode, the surface advances through the motion of steps. These steps are one interplanar spacing in height. The surface stays still until a step passes, at which point it advances by the height of that step.

This is a geometrical motion of steps rather than the entire surface moving at once.

The second mechanism is uniform normal growth. Here, the surface advances normal to itself without needing a stepwise mechanism. This occurs when there is a sufficient thermodynamic driving force. In this mode, every element of the surface can change continuously to advance the interface. Whether a crystal uses steps or moves uniformly depends on two main criteria. The first is whether the surface is diffuse or sharp. A diffuse surface changes across several atomic planes, while a sharp surface is discontinuous. The second criterion is whether the surface is singular or non-singular. Singular surfaces generally require steps to grow.

The movement of a crystal is also driven by a "driving force," often dictated by the degree of supercooling. A critical driving force exists for every interface. If the driving force is below this critical level, the crystal must use the lateral growth mechanism of steps. If the driving force exceeds this level, the interface can move uniformly.

Diffusioncontrollgrowthmodel2
Diffusioncontrollgrowthmodel2

In many cases, growth is also diffusion-controlled. This means the speed of growth is limited by how fast atoms or molecules can travel to the growing nucleus.

Crystal growth also determines the final morphology, or shape, of the solid. Josiah Willard Gibbs provided a framework for this by studying surface energy. He showed that surface tension applies to solids just as it does to liquids. He also noted that an anisotropic surface free energy leads to non-spherical shapes. These shapes are defined by the minimization of total surface free energy. One interesting example of growth is the formation of whiskers.

SilverSulfideWhiskers1
SilverSulfideWhiskers1

Whiskers are fibrous structures that project at a right angle from a substrate. They can be incredibly strong due to their growth mechanisms.

Whiskers are distinct from other growth patterns like dendrites. Dendrites are fern-shaped structures that grow across a surface, similar to tree branches.

Dendrite formation
Dendrite formation

While whiskers project outward, dendrites spread laterally. The study of these different forms helps scientists understand the link between growth kinetics and physical properties. Understanding these processes allows us to predict how materials will behave based on how they were formed.

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🖼️ Images & Media (8)
File:Schematic of crystal growth of simple cubic lattice, showing additional molecule adding in corner.png
Schematic of crystal growth of simple...
File:Silver surface crystal growth SEM.png
Silver surface crystal growth SEM.png
File:ImgSalt.jpg
ImgSalt.jpg
CitricAcid Crystalisation Timelapse.ogg
File:SilverSulfideWhiskers1.jpg
SilverSulfideWhiskers1.jpg
File:Diffusioncontrollgrowthmodel2.jpg
Diffusioncontrollgrowthmodel2.jpg
File:Dendrite formation.gif
Dendrite formation.gif
File:Dendrites01.jpg
Dendrites01.jpg
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