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8614smith
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Homework Statement
(a) Explain the term Hydrogen like ion and determine the quantum numbers l,m for the Li2+ ion in the states for which n=1 and n=2.
(b) Explain why for a hydrogen-like ion it is reasonable to use the relations,
[tex]\mu\approx{m_e}[/tex], [tex]{E_n}=-13.6\left(\frac{Z^2}{n^2}\right)[/tex]
(c) What are the energies of the n=1 and n=2 states in Li2+ ?
Homework Equations
reduced mass
The Attempt at a Solution
(a) A hydrogen like ion is an atom with only 1 electron
(b)[tex]\frac{{M_N}{M_e}}{{M_N}+{M_e}}[/tex] I've then said that the [tex]M_e[/tex] term on the denominator is negligible and the [tex]M_N[/tex] terms will cancel.
This are from my notes but reading over them i don't understand it.
(c)I don't know how to do this, when i put n=1 and n=2 into the equation, using Z=1, i don't get the right answer. The correct answers are -122.4eV for n=1 and -30.6eV for n=2.
any hints??