Understanding Reflection Planes in Diatomic Molecules

In summary, Harrison explains that when studying diatomic molecules like N_2, the high symmetry of the molecule can be used to identify molecular orbitals as even or odd under each reflection plane σx,y,z. This concept is important for understanding the rest of the text. Additionally, a program for reflecting the benzene ring, mentioned in Harrison, was found but did not provide further clarification.
  • #1
moriheru
273
17
My source is Walter A. Harrison:"Applied Quantum Mechanics" Section 5.4 p.83.
When studying diatomic molecules such as N_2 one may make use of the high symmetry of the molecule with relfection planes σx,y,z.
In Harrison it is said that each molecular orbital can be chosen to be even or odd under each reflection. As a idiot I do not understand what he means with that and it seems to have relevance to the rest of the text.
Thanks for any help.
 
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  • #2
I also found this programm for the relfection of the bencene ring, which is also mentioned in Harrison.
http://symmetry.otterbein.edu/tutorial/reflection.html#
Still didn't help...real genius here :).
 

1. What is a reflection plane in a diatomic molecule?

A reflection plane in a diatomic molecule refers to an imaginary plane that divides the molecule into two equal halves, with the atoms on either side being mirror images of each other. This plane is perpendicular to the molecular axis and passes through the center of mass of the molecule.

2. How does the presence of a reflection plane affect the properties of a diatomic molecule?

The presence of a reflection plane in a diatomic molecule leads to certain symmetries in its properties, such as equal bond lengths, bond angles, and dipole moments. This symmetry also affects the vibrational and rotational energies of the molecule.

3. How can reflection planes be determined experimentally?

Reflection planes in diatomic molecules can be determined experimentally through various techniques such as X-ray crystallography, infrared and Raman spectroscopy, and electron diffraction. These methods can reveal the symmetry of the molecule and the presence of any reflection planes.

4. Can a diatomic molecule have more than one reflection plane?

Yes, a diatomic molecule can have more than one reflection plane, as long as they are perpendicular to each other and intersect at the center of mass of the molecule. This leads to higher levels of symmetry and affects the molecular properties accordingly.

5. How do reflection planes contribute to the overall understanding of diatomic molecules?

The presence of reflection planes in diatomic molecules plays a crucial role in the understanding of their electronic and vibrational states, as well as their spectroscopic properties. It also helps in predicting and explaining the behavior of these molecules in various chemical reactions.

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