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Topic: Clarification of Schrodinger Naming  (Read 3940 times)

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Offline Boxxxed

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Clarification of Schrodinger Naming
« on: October 29, 2010, 01:29:21 PM »
Is there a different name for orbitals with both n=x, l=1+but ml is different?

Offline JustinCh3m

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Re: Clarification of Schrodinger Naming
« Reply #1 on: October 29, 2010, 03:31:37 PM »
Hi, can you clarify?  Do you mean for any integer "n,"  ->   l = {0, 1,...(n-1)}, ml = {-l,...0,...+l}  ??

If you expand on your question I may be able to help...

Offline Boxxxed

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Re: Clarification of Schrodinger Naming
« Reply #2 on: October 29, 2010, 03:47:21 PM »
lets say for

n=3, l=2, ml=0

n=3, l=2, ml=1

Are they both 3d? or does the ml have any effect

Offline Schrödinger

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Re: Clarification of Schrodinger Naming
« Reply #3 on: October 29, 2010, 04:39:34 PM »
ml does matter. Both are 3d orbitals, but are not oriented in space in the same way... There are five 3d orbitals with ml ranging from -2 to +2. They are named 3dz2, 3dx2-y2, 3dxy, 3dyz and 3dzx
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Offline Boxxxed

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Re: Clarification of Schrodinger Naming
« Reply #4 on: October 29, 2010, 05:29:04 PM »
So how do I know which ml value applies to which orbital name?

Offline JustinCh3m

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Re: Clarification of Schrodinger Naming
« Reply #5 on: October 29, 2010, 07:03:14 PM »
of the 5 d-orbitals, the ml values would be as such:

_    _   _  _  _
-2  -1  0  1  2

with each ml representing a different orientation

Offline Boxxxed

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Re: Clarification of Schrodinger Naming
« Reply #6 on: October 29, 2010, 07:29:48 PM »
I realize that there are five ml values representing the five 3d orbitals. But do the specific values themselves attribute themselves to a particular orbital? Does ml=-1 attribute itself to 3dz2 etc.

Offline Cherriyan

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Re: Clarification of Schrodinger Naming
« Reply #7 on: November 01, 2010, 09:40:53 AM »
The values of magnetic quantum number do correspond to specific orbitals.
ml=0 => dz2
ml=+1 => dxz
ml=-1 => dyz
ml=+2 => dx2-y2
ml=-2 => dxy

Offline Boxxxed

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Re: Clarification of Schrodinger Naming
« Reply #8 on: November 02, 2010, 03:13:36 PM »
How is that derived? I've read the whole chapter and my book doesn't say how to name it past the 'l' value.

Offline Cherriyan

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Re: Clarification of Schrodinger Naming
« Reply #9 on: November 03, 2010, 09:54:51 AM »
That's based on complex quantum mechanical calculations which haven't been taught to me till now!

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