Is Tin FCC or BCC?

Crystal Structure of the elements

What is the multiplicity of the general position?

This is the number of equivalent points per unit cell. For primitive cells, the multiplicity of the general position is equal to the order of the point group of the space group; for centred cells, it is the product of the order of the point group and the number (2, 3 or 4) of lattice points per cell.

How are space groups numbered with a point group?

The space groups with given point group are numbered by 1, 2, 3, … (in the same order as their international number) and this number is added as a superscript to the Schönflies symbol for the point group. For example, groups numbers 3 to 5 whose point group is C2 have Schönflies symbols C1

Is the number 73 related to the Order of the space groups?

The number is related to the order in which Fedorov derived space groups. There are 73 symmorphic, 54 hemisymmorphic, and 103 asymmorphic space groups. The 73 symmorphic space groups can be obtained as combination of Bravais lattices with corresponding point group.

How many space groups are there in three dimensions?

There are 230 space groups in three dimensions, given by a number index, and a full name in Hermann–Mauguin notation, and a short name (international short symbol).

How many symmorphic space groups are there in Bravais?

The number is related to the order in which Fedorov derived space groups. There are 73 symmorphic, 54 hemisymmorphic, and 103 asymmorphic space groups. The 73 symmorphic space groups can be obtained as combination of Bravais lattices with corresponding point group. These groups contain the same symmetry elements as the corresponding point groups.