The crystal and magnetic structure of a compound is known, how can one determine which spin group does it fall under? There is a Litvin's notation for spin groups(attached). Is there any alternative notation?
Determining the spin group of a magnetic compound can be done by analyzing the magnetic space group and its magnetic symmetry operations. The magnetic space group is the extension of the crystal space group that includes the magnetic symmetry operations in addition to the crystal symmetry operations.
To determine the spin group of a magnetic compound, you need to consider the following steps:
Determine the crystal space group of the compound.
Determine the magnetic symmetry operations, including the magnetic point group operations, magnetic screw axis operations, and magnetic glide plane operations.
Determine the magnetic space group by combining the crystal space group and the magnetic symmetry operations.
Determine the magnetic point group of the magnetic space group by identifying the magnetic point group operations.
Determine the spin group by consulting a reference, such as the International Tables for Crystallography, which contains a table of spin groups and their corresponding magnetic space groups.
Using a consistent notation to avoid confusion when communicating with others in the field is important. Litvin's notation is commonly used to describe spin groups and is widely recognized in the field of crystallography. However, alternative notations, such as the Laves notation and the Bayer-Schönflies notation, are used to describe magnetic point groups.