The Naked Scientists Forum

Author Topic: How many quantum states are there in a hydrogen atom?  (Read 8820 times)

suzie

• First timers
• Posts: 1
How many quantum states are there in a hydrogen atom?
« on: 02/05/2009 13:55:43 »
How many different quantum states are there in the Hydrogen atom with principal quantum number n = 5 and orbital quantum number l = 2, and what's the range of magnetic quantum numbers ml that are allowed in this case?

« Last Edit: 12/05/2009 00:07:36 by chris »

omid

• Neilep Level Member
• Posts: 1016
How many quantum states are there in a hydrogen atom?
« Reply #1 on: 03/06/2009 13:53:24 »
For any n, el ranges from 0 to n-1, and m(el) ranges from -el to +el.

In this case, you are told that el = 2, so use what I just said to find range of m(el).

Hint: el = 0, s; el =1, p; el = 2, d.

Yomi

• Hero Member
• Posts: 548
• HERE IN AM TO TAKE AWAY THE NOBEL PRIZE
How many quantum states are there in a hydrogen atom?
« Reply #2 on: 08/06/2009 07:37:06 »
n is just the principle quantum number and doesn't affect the magnetic moment.

The l is the magnetic quantum number. It can be oriented up or down (+3 to -3) or at a slight angle, but always in units of 1.

So there are 7 quantum states:
l = -3, -2, -1, 0, 1, 2, 3.

From -3 to +3 inclusive, in integer steps.

I assume you're not including electron spin, since that would make it go from -3.5 to +3.5!

The Naked Scientists Forum

How many quantum states are there in a hydrogen atom?
« Reply #2 on: 08/06/2009 07:37:06 »