(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(a) Explain the term Hydrogen like ion and determine the quantum numbers l,m for the Li^{2+}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 Li^{2+}?

2. Relevant equations

reduced mass

3. 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] ive 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??

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Hydrogen like ion

**Physics Forums | Science Articles, Homework Help, Discussion**