Why the 2n² formula doesn't limit the highest energy level

[allanwinters]

Homework Statement

A classmate says "Since there are 2n^2 electrons possible in each energy level, and the atom with the greatest number of electrons has 118 electrons, that must mean that u is the highest possible value for n, because a value of 7 gives 2n^2 = 98 nad a value of 8 gives 2n^2=128.

Homework Equations

a) state two problems with this reasoning
b)How many energy levels are there for a given atom

The Attempt at a Solution

So far I said the problem for his reasoning was that the value of n can range from n=1 to n= infinity for a) and for b) I've said that there are an infinite amount of energy levels in an atom.

 

[John Park]

How would you address this point?

the atom with the greatest number of electrons has 118 electrons

Reference https://www.physicsforums.com/threa...ectrons-possible-in-each-energy-level.908681/

 

[Borek]

When I was born element with the highest electron count had only 103 electrons.

Also, I never had more than $10.000 on my bank account. Does it mean $10.000 is the largest amount of money bank account can hold?