The occupation probabilities of electrons in different states

[Neo Tran]

Homework Statement

An atom with a single electron is in a heat bath at a temperature of T6 = 1. The atom is high Z, so the electron is bound at this temperature, and only three states have appreciable occupations. The ground state has spin 5/2. The first excited state, at 210 eV, has spin 3/2. The second excited state, at 380 eV, has spin 3/2. What are the occupation probabilities for these three states?

Relevant Equations

occup is proportional to [gi x exp(-Ei/kT)]
where gi is the numver of states at energy Ei

occup is proportional to [gi x exp(-Ei/kT)]
where gi is the numver of states at energy Ei

 

[kuruman]

How about a better attempt at a solution in which you write down (a) the number of states $g_i$ for $i =1,2,3$ and (b) an expression for "occup" that includes the proportionality constant?

Also, please explain what "temperature T6 = 1" means in terms of degrees K which is what counts when you need to find numerical answers.