Partition Theorem

1. Oct 23, 2015

Calpalned

1. The problem statement, all variables and given/known data

2. Relevant equations
Partition function = $\frac{z_{i+1}}{z_i}$
$z = \Sigma_{j=1}^\infty g_j e^{\frac{-(E_j - E_i)}{KT}}$
$g_j = 2(j^2)$
3. The attempt at a solution
I should get 2, but I keep getting $2 + 8e^7.8 + ...$
I used $K = 1.38 \times 10^-23$ and I converted electron volts to J (1eV = $1.602 \times10^-19$J)

2. Oct 23, 2015

Calpalned

Actually what is $E_j$ and $E_1$? Isn't E_1 = 13.6?