On the magnetism of a so-called one-dimensional crystal, dimethylammonium trichlorocuprate(II), DMACuCl3

1981 ◽  
Vol 78 (2) ◽  
pp. 379-382 ◽  
Author(s):  
S. Lahiry ◽  
Rita Kakkar
Physica ◽  
1966 ◽  
Vol 32 (7) ◽  
pp. 1274-1282 ◽  
Author(s):  
Maria Stȩślicka ◽  
K.F. Wojciechowski

1981 ◽  
Vol 103 (3) ◽  
pp. 293-296 ◽  
Author(s):  
J. N. Boyd ◽  
P. N. Raychowdhury

We consider a circular array of point masses connected by springs of non-negligible mass. In the Lagrangian for the harmonic motions of this system, the movements of neighboring point masses are coupled through both the kinetic and potential energies. By use of transformations derived from the theory of projection operators, we simplify the Lagrangian and obtain the natural frequencies of the motions of the system as functions of the number of particles present. We note that for large numbers of particles, the results for our circular array will yield the frequencies of a one dimensional crystal.


1983 ◽  
Vol 16 (18) ◽  
pp. L771-L775 ◽  
Author(s):  
L Wille ◽  
H Verschelde ◽  
P Phariseau

1990 ◽  
Vol 61 (2) ◽  
pp. 193-203
Author(s):  
K. Suzuki ◽  
M. Ichihara ◽  
I. Nakada ◽  
S. Takeuchi

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