Improved With Crystals Evelyna Wang explores the intricacies of crystal formation and their many uses From beautiful gemstones in underground caverns to saltencrusted rocks by the ocean, crystal structures are found throughout the material world. Not only are they beautiful but they are also highly functional. By understanding how crystals grow, we developed exciting technologies of the Digital Age, paved the way for safer planes, and even explained the magic of snowflakes. What makes up a crystal? | We start at the atomic level. Although the term ‘crystals’ brings to mind colourful, faceted gems often used in jewellery, many solids actually form crystalline structures. A crystal structure simply refers to the ordered and periodic arrangement of atoms (or molecules) within a material. Imagine, for instance, a cube with an atom placed at each corner. By repeating this cube in three dimensional space (x, y, and z directions), a crystal is formed. If instead of a cube, the atoms arrange into a rectangular prism or a hexagonal prism, a different crystal structure with different symmetries and physical properties will form. Another type of crystal structure is a cube with atoms on the corners and one in the center of each cube face. Many metallic elements, gold and silver for example, are crystalline solids that follow this particular cubic atomic arrangement. In fact, you can see this by probing gold at the atomic scale, possible today due to advances in electron microscopy! These atomic positionings are determined by the conditions that lead to crystallization. How are crystals formed? | Examples of crystal formation are all around us. A simple one is cooling molten metal into a crystalline solid state: in the liquid state, the metal atoms have plenty of kinetic energy to move around and the probability of atoms forming a cluster is very low — imagine energetic children running around in a classroom. As the temperature decreases, the atoms lose their kinetic energy, becoming increasingly likely to cluster. When the temperature drops below the freezing point, a solid crystalline state becomes more favorable than the liquid state — now imagine tired children who would rather sit at their desks arranged in neat rows. Any cluster of atoms that forms then has the potential to arrange into a tiny crystal called a nucleus. If the surface area (total energy cost of nucleation) to volume (total energy gained) ratio is less than a certain value, the nucleus can be stabilized. The atoms at the edges provide a specific orientation for neighbouring atoms in the liquid phase to align and attach, thus growing the crystal. Another example is the formation of salt crystals from solution. As the water evaporates, the concentration of
30
Improved With Crystals
dissolved salt ions increases, until the saturation point is reached. Beyond this, the solid crystalline state is energetically more favorable than remaining in solution, and clusters of salt ions have the potential to nucleate. Salt crystals form cubic arrangements of atoms, and close examination of any crusty rock at the beach will usually reveal small white crystal cubes! Similarly, stalactites and stalagmites are formed in caverns when limestone crystallizes from drops of concentrated solution. Atmospheric water freezing into snowflakes also follows the nucleation-and-growth theory. Below a certain temperature, the saturation limit of water vapour in air is exceeded, and the preferred state of water is a solid, meaning that ice crystals can nucleate and grow. Due to the arrangement of water molecules into a hexagonal array, beautiful six-sided snowflakes are formed. Furthermore, the same material can form different crystal structures depending on the crystallisation conditions. These differences in atomic positionings lead to different physical properties. In steel, one crystal structure causes it to become extremely hard and brittle, while another arrangement of the same atoms results in a more pliable steel. The reason Japanese samurai swords were so incredible is because the blade edge was made of brittle crystalline steel for cutting, while the body had atoms arranged in the more flexible crystal structures to absorb shock. In order to achieve this, swordsmiths apply a different cooling rate to the edge compared to the spine of the sword. As we can see, crystallization dictates the atomic positionings which in turn dictates the material properties. Specific crystals with specific electronic, thermal, or physical behaviours can be synthesized and used to improve our lives. What are crystals used for? | Without crystals, we would not have computers, planes, electric cars, many pharmaceutical drugs, or even vaccines. It doesn’t take a crystal ball (which are sometimes just glass balls) to see that our lives would be drastically different without understanding and harnessing the magic of crystals. Silicon single crystals serve as a semiconducting substrate onto which microelectronic devices are fabricated, such as the transistors that make up a computer chip. Since polycrystalline silicon have poor electronic properties, developing methods to grow single crystal silicon efficiently and economically was a major factor in launching the world into the Digital Age (also known as the Silicon Age). Other single crystal semiconductors with precise electronic properties are also produced at large scales for the LED lights, solar panels, and sensors that are ubiquitous today. Lithium-ion batteries that power most of our portable
Lent 2021
