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orbital energies - We saw earlier that the energy of the...

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We saw earlier that the energy of the electron in a hydrogen atom depends only on the principal quantum  number, n. The nucleus of a hydrogen atom has a charge of +1, however, if the electron is bound to a nucleus of  arbitrary charge +Z, then the energy of the electron is This expression is for a single electron orbiting a single nucleus of charge +Z. If I had a mole of atoms like this,  then I could multiply this expression by Avogadro's Number to get the total energy for all the atoms: This equation is so popular that the number  1312  is named the Rydberg Constant and given the symbol R H  =  1312 kJ/mole. Let's look carefully at this equation: As n increases (holding Z constant), then the energy  increases  (becomes less negative). In the limit  that n goes to infinity then the energy goes to zero.
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