The combination of all these symmetry operations results in a total of 230 different space groups describing all possible crystal symmetries.
Columbite has the same composition and crystal symmetry (orthorombic) as tantalite.
If the crystal symmetry is monoclinic or triclinic, even the angles between these axes are subject to thermal changes.
There are 219 possible crystal symmetries, called crystallographic space groups.
However, the 32 classes of crystal symmetry are one-and-the-same as the 32 crystallographic point groups.
Owing to the crystal symmetry, the tetrahedral coordination between these superstructure units is again a key factor.
A further prediction was made that a specific crystal symmetry known as P1(bar) would be the dominant space group observed.
There are 230 unique space groups describing all possible crystal symmetries.
Delafosse is known for noting the close relationship between crystal symmetry and physical properties.
However, note that some piezoelectric materials have a crystal symmetry that does not allow pyroelectricity.