Mirror plane and spin direction

In summary, a mirror plane, also known as a reflection plane, is an imaginary plane that divides a molecule or object into two equal halves, with one half being the mirror image of the other. It is a symmetry element that indicates a mirror symmetry in the molecule's structure. This means that the molecule has an identical mirror image on one side of the plane compared to the other side. It is an important concept in the study of chirality and optical isomerism. Spin direction, also known as spin orientation, refers to the direction of an atom's spin in a molecule. In the presence of a mirror plane, the spin direction of the atoms on either side of the plane will be opposite of each other. This is an important factor
  • #1
Newstein
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0
Consider a system with a mirror axis (bulk projected surface), I want to know the direction of spin polarization on the mirror axis. The result is that the spin is perpendicular to the mirror axis, but I don't understand the reason.
If someone have related references, please recommend to me. Thanks!
 
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  • #2
You'll find it easier to understand if you wrote out a more complete description of the system and where the spin polarization is observed.
 

What is a mirror plane?

A mirror plane, also known as a reflection plane, is an imaginary plane that divides a molecule or object into two equal halves, with one half being the mirror image of the other. It is a symmetry element that indicates a mirror symmetry in the molecule's structure.

How does a mirror plane affect the symmetry of a molecule?

A mirror plane is a symmetry element that indicates a mirror symmetry in a molecule's structure. This means that the molecule has an identical mirror image on one side of the plane compared to the other side. It is an important concept in the study of chirality and optical isomerism.

What is the significance of spin direction in relation to a mirror plane?

Spin direction, also known as spin orientation, refers to the direction of an atom's spin in a molecule. In the presence of a mirror plane, the spin direction of the atoms on either side of the plane will be opposite of each other. This is an important factor in determining the overall symmetry of a molecule.

Can a molecule have multiple mirror planes?

Yes, a molecule can have multiple mirror planes. This is known as a molecule having multiple mirror symmetry. In this case, the molecule can be divided into equal halves by more than one mirror plane, with each half being a mirror image of the other.

How are mirror planes and rotational symmetry related?

Mirror planes and rotational symmetry are both types of symmetry elements that can be present in a molecule. A molecule with both mirror planes and rotational symmetry is said to have multiple symmetry elements and will exhibit a higher degree of symmetry than a molecule with just one type of symmetry element.

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