This questions deals with the space group Pmna (No.53), 1. What is the Bravais l

Question

This questions deals with the space group Pmna (No.53),

1. What is the Bravais lattice of space group Pmna?

2. What are the differences between Pmna and Pnma?

3. By making a coordinate transformation (x,y,z) (x,y,z), we can find other space groups that are equivalent to Pmna. It is known that Pncm is equivalent to Pmna.

What coordinate transformation can be used to establish this equivalence, namely, Pmna in the (x,y,z) coordinate system becomes Pncm in the (x,y,z) coordinate system?

4. Name another space group which is equivalent to Pmna.

Explanation / Answer

1.This belogs to Orthorhombic bipyramidal P = Primitive Lattice.
C = 1 Face Centered Lattice.
F = 3 Face Centered Lattice.
I = Body Centered Lattice.
21 = Screw Axis.
2 = Symmetry Axis (360/2).
a,b,c = Perpendicular Glide Planes.
m,n = Oblique Glide Planes

4. Other Space groups equavalent to Pmna are Ccca, Cccm, Cmca, Cmcm, Cmma, Cmmm,
Fddd, Fmmm, Ibam, Ibca, Imma, Immm, Pbam, Pban, Pbca, Pbcm,
Pbcn, Pcca, Pccm, Pccn,

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