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Crystals are highly ordered arrangements of atoms, ions, or molecules, resulting in what can most succinctly be described as "pretty rocks".[note 1] They have many unique powers, including:
Crystals have numerous applications in the field of chemistry. When purifying a chemical compound, it is usually crystallised (if it will do so) — the desired product will form regular crystals while the remaining crap, unreacted material and by-products, will stay in solution. The crystals can then be filtered out, dried and weighed. This final weighing step is extremely important, as the chemist can then calculate the yield and get tremendous bragging rights for getting a yield bigger than someone else's.[note 4]
Crystals are also important in x-ray crystallography. As only a tiny fraction of X-rays are diffracted by a single molecule, many molecules are needed to produce a readable signal. The high, regular order of crystals means that many identical units — as opposed to a completely amorphous solid or solution which would create a randomized result — can be used to diffract X-rays, producing a pattern that can be used to identify the compound's structure, often referred to as the "crystal structure." This technique was used on partially-crystallised DNA by Rosalind Franklin to generate the X-ray diffraction data needed for Francis Crick and James Watson to determine the molecule's helical structure.
Most igneous rocks (rocks which cooled from magma) are made out of crystals of varying sizes; a rock which cooled fast will have loads of microscopic crystals (unless it cools so fast that it becomes a glass, which means it has no crystals at all), while a rock which cooled really slowly will have a comparatively small number of lovely big crystals. Igneous geologists love rocks which contain big pure crystals because geological theories and formulae work beautifully when applied to big pure crystals, but applying them to the microscopic crystals just breaks everything. It's kind of like how physicists love hydrogen because it's the only element simple enough to not require numerical approximations when solving for the atomic orbitals.
Metamorphic and sedimentary geologists are used to seeing crystals either heavily distorted or smashed into little tiny bits anyway, so they don't particularly care about crystals, except for their aesthetic value.
Zircon is an important crystal for radiometric dating, as it is stable, resists weathering and metamorphism, and commonly forms with uranium but never forms with lead, making it easy to tell if any processes had tampered with it. The oldest zircon crystals are 4.4 billion years old.
Ironically, despite the claims of protection, quartz crystals are a known human carcinogen, based on worker inhalation of crystalline silica in the form of quartz.[3]