How Many Bravais Lattices Exist?

[MagnusBL]

Hi

Anyone who can tell me how to proove that there consists exactly 14 Bravais lattices or can point me to a reference where this is prooven?



Magnus

 

[Mapes]

Not a proof, but you may enjoy Nussbaum's "The mystery of the fifteenth Bravais lattice," Am J Phys 68(10) (2000) and Azaroff's rebuttal "No! to a fifteenth Bravais lattice," Am J Phys 70(2) (2002).

 

[Dr Transport]

Any solid state textbook, Tinkham comes to mind as well as Kittel.

 

[cmos]

I haven't seen this proof in any solid state text, including Kittel (unless you mean his more advanced 'Quantum Theory of Solids' - haven't had to pleasure to read this yet). I would think this question is better suited for the mathematicians. Crystallography, although definitely an applied subject today, began as a pure mathematical subject.