What is the significance of d (x^2-y^2) in the d subshell?

  • Thread starter Thread starter americast
  • Start date Start date
AI Thread Summary
The discussion centers on the d orbital known as d(x^2-y^2), with a focus on its mathematical derivation. The angular part of the d(x^2-y^2) orbital is explained using the spherical coordinates transformation, where x and y are expressed in terms of spherical coordinates. It is noted that resources such as quantum chemistry or quantum mechanics textbooks provide these calculations. Additionally, a link to a PDF on spherical harmonics is shared as a helpful reference. The wave function for this orbital is derived from solving the Schrödinger wave equation, highlighting the relationship between the orbital's mathematical representation and trigonometric functions. Overall, the discussion emphasizes the mathematical foundation and resources available for understanding the d(x^2-y^2) orbital.
americast
Messages
27
Reaction score
0
Hi all,
One of the orbitals of the d subshell is called d (x^2-y^2). What is the reason behind that? It would be helpful if someone could give the calculations.

Thanx in advance...
 

Attachments

  • 1404140431440.jpg
    1404140431440.jpg
    2.2 KB · Views: 509
Chemistry news on Phys.org
It is simply the angular part of x^2-y^2. Use ##x=r \sin \theta \cos \phi## and ##y=r\sin \theta \sin \phi##.
 
While any decent quantum chemistry or quantum mechanics book should have the calculation for you, I did find http://www.fordham.edu/images/undergraduate/chemistry/pchem1/spherical_harmonics.pdf online that should do the trick. There's plenty online on (visualization of) the spherical harmonics, so if you need more information on them in particular, shouldn't be too hard to find.
 
This is actually the wave function obtained after solving Schrödinger wave equation and by comparing linear part of the function with mathematical trigonometric functions it looks like the squad of rectangular coordinate x minus square of rectangular coordinate y
 

Thread 'Humidity of a saturated NaCl solution with anticaking additive'

I want to test a humidity sensor with one or more saturated salt solutions. The table salt that I have on hand contains one of two anticaking agents, calcium silicate or sodium aluminosilicate. Will the presence of either of these additives (or iodine for that matter) significantly affect the equilibrium humidity? I searched and all the how-to-do-it guides did not address this question. One research paper I found reported that at 1.5% w/w calcium silicate increased the deliquescent point by...
View full post »

Similar threads

Why are some d-electron configurations more stable? (1st row)
Replies
4
Views
2K
How do electron shells and subshells/orbitals relate?
Replies
2
Views
13K
I No structure in ##(d,x)## in ##\textbf{Met*}(X)## is admissible
Replies
0
Views
1K
I In what cases (precisely) are Hund's rules valid?
Replies
3
Views
4K
Do Transition Metals Always Lose Electrons to Fill d-Subshells?
Replies
1
Views
3K
Initial conditions for orbits around a wormhole
Replies
4
Views
368
I Displacement operation acting on individual quadrature components
Replies
3
Views
1K
Differentiation of functional integral (Blundell Quantum field theory)
Replies
1
Views
2K
I What Is the Proper Time in Curved Space?
Replies
48
Views
5K
A Discretisation of a PDE in Lagrangian coordinates
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top