Register to reply 
Two Atoms Basis Lattice Problem 
Share this thread: 
#1
Jan1313, 09:39 PM

P: 10

1. The problem statement, all variables and given/known data
For a lattice with a two atoms basis, the two dispersion relations valid for Ka = ±∏ w^{2} = 2C/M_{2} and w^{2} = 2C/M_{1} Show that under these conditions the lattice acts as two independent lattices (one lattice per each atom) with one of the lattices moving while the other is at rest. 3. The attempt at a solution I really don't know where to begin when dealing with this problem. I presume it's dependent on an oscillatory function, but I'm completely lost as to what defines two independent lattices. 


#2
Jan1413, 03:27 AM

HW Helper
Thanks
P: 10,632

You need to read about lattice vibrations. First see a onedimensional lattice, a linear chain of two different kinds of atom.
http://users.physik.fuberlin.de/~pa...vibrations.pdf ehild 


Register to reply 
Related Discussions  
About basis of the honeycomb lattice  Atomic, Solid State, Comp. Physics  5  
Primitive lattice vectors, reciprocal lattice, wigner seitz cell  Atomic, Solid State, Comp. Physics  1  
Distance between copper atoms in cubic crystal lattice  Introductory Physics Homework  2  
Finding an orthonormal basis of a Hilbert space relative to a lattice of subspaces  Linear & Abstract Algebra  2  
Onedimensional monatomic chain; square lattice; hcp close packed 2D lattice  Advanced Physics Homework  0 