How do you calculate the energy of an electron in the ground state of a hydrogen atom ?

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How do you calculate the energy of an electron in the ground state of a hydrogen atom ?

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Answer 1 · 2015-09-27T16:45:46

You can calculate the ground state energy using The Bohr Model

Explanation:

A simple expression for the energy of an electron in the hydrogen atom is:

$E = - \frac{13.6}{n^{2}}$ $E=-(13.6)/(n^2)$ where the energy is in electron volts

$n$ $n$ is the principle quantum number.

hyperphysics.phy-astr.gsu.edu

This gives rise to the familiar electron energy level diagram where they converge and coalesce.

So for an electron in $n = 1$ $n=1$ :

$E = - 13.6 eV$ $E=-13.6"eV"$

To convert to joules you can x this by $1.6 \times 10^{- 19}$ $1.6xx10^(-19)$

For many - electron atoms quite complicated approximate methods can be used which take into account factors such as electron interactions and screening effects.

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How do you calculate the energy of an electron in the ground state of a hydrogen atom ?

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