![]() ![]() because those electrons have similar average distances from the nucleus. ![]() All the wave functions that have the same value of n because those electrons have similar average distances from the nucleus. All wave functions that have the same value of n are said to constitute a principal shell. This means that electrons with higher values of n are easier to remove from an atom. Our approach to deriving the Schrödinger equation will therefore be to employ various algebraic manipulations and physical identities to transform the classical wave equation into a quantum mechanical one. A negatively charged electron that is, on average, closer to the positively charged nucleus is attracted to the nucleus more strongly than an electron that is farther out in space. \]Īs\( \)n increases for a given atom, so does the average distance of an electron from the nucleus. ![]()
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