Probability density function for hydrogen atom
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The Probability Distributions for the Hydrogen Atom
To what extent will quantum mechanics permit us to pinpoint the position of an electron when it is bound to an atom? We can obtain an order of magnitude answer to this question by applying the uncertainty principle to estimate Dx. The value of Dx will represent the minimum uncertainty in our knowledge of the position of the electron. The momentum of an electron in an atom is of the order of magnitude of 9 ´ 10-19 g cm/sec. The uncertainty in the momentum Dp must necessarily be of the same order of magnitude.
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