Magnetic completely transposable twin laws and tensor distinction

Macroscopic tensorial physical properties that are different in two domains of a ferroic crystal provide a tensor distinction of the two domains. This tensor distinction is determined from a symmetry relationship, called a twin law, between the bulk structures, the domain states, of the two domains. The simplest type of twin law is the so-called completely transposable twin law. We extend here the concept of completely transposable twin laws from non-magnetic to magnetic completely transposable twin laws. We establish the structure of and tabulate the 380 classes of magnetic completely transposable twin laws. The relationship between magnetic completely transposable twin laws and double antisymmetry groups is then given. Examples of the application of magnetic completely transposable twin laws are given in the tensor distinction of non- ferroelastic magnetoelectric domain pairs.