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No. Their paths are random and, for the most part, the paths are irrelevant unless you're doing some chemistry that's way over my head. From a physics perspective, there are "clouds" in which the electrons are contained. These clouds are called probability distributions, which is where you're most likely to find an electron at any given time. The path of an electron is totally random and you can never really predict its path with a great deal of certainty due to quantum mechanics.

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