Originally posted by geniusGroup theory is most useful in molecular quantum mechanics and other more general applications. By knowing which group a molecule belongs to, properties like chirality and dipole moments can be discovered. It also allows you to predict the number of bands that will appear in the IR and Raman spectra of molecules. Bit obscure I guess, but physical chemistry wouldn't be the same without it!
i still have not found a reason for studying group theory. something about symmetry...?
Originally posted by genius...group theory .... quantum mechanics
a lot of statistical models (such as predator-prey ones) are based on calculus, as are newtons laws of motion. if you crossed a suspension bridge on your way to work the wires form a curve, often a cosh(x) curve. calculus is also nice for optimising somethigns potential (such as the best speed for a car to travel at without using too much fuel).
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i still have not found a reason for studying group theory. something about symmetry...?