I am trying to use GROMACS to calculate the phonons (normal modes) of a bulk 
crystal, CdSe.  I have found a simple force field, Coulomb + Lennard-Jones, in 
the literature (Rabani, J. Chem. Phys. 116, 258, 2002) which the author showed 
reproduced the phonon dispersion curves and other mechanical properties of bulk 
wurtzite CdSe quite well.  A number of other workers have used this force field 
in molecular dynamics simulations.  But when I use Rabani's force field with 
GROMACS I get phonon frequencies that are much too high, up to about 2.2 times 
the experimental ones.

I am doing all of my calculations with the double precision version of GROMACS. 
 I have made a .top file for CdSe using Rabani's Lennard-Jones parameters and 
ionic charges, and a .gro file containing an integer number of unit cells with 
the known lattice constants.  I first do an energy minimization until the 
maximum forces are around 1.e-4, and get the right crystal structure and 
lattice constants.  I am using periodic boundary conditions with PME.  I then 
use the "nm" integrator (with the -t option to read in the more precise .trr 
structure file) to calculate the Hessian, and then the g_nmeig_d program to 
diagonalize the Hessian and get the normal modes.  This all seems to work fine, 
but I don't get the literature values for the frequencies (calculated maximum 
about 450 cm-1, literature and experimental about 215 cm-1).  I have checked 
that when I enter the correct masses and known harmonic force constant for the 
H2 molecule, I get back the right vibrational frequency.  I have tried changing 
the size of the system (5, 7, or 9 unit cells in each direction) and it has 
almost no effect on the frequencies.  I have tried things like changing the 
Coulomb and Lennard-Jones cutoffs, and even tried regular Ewald rather than PME 
(which took a very long time), but these had no significant effect on my 
results.  I also tried calculating the phonon spectrum for a different 
material, AgBr, using a Coulomb + Buckingham potential from the literature (J. 
Phys. Chem. 99, 14344, 1995).  This gave me a better result, but still the 
distribution of frequencies is not correct and the maximum phonon frequency is 
about 15% higher than what the authors got with the same force field.

Are you aware of any issues with GROMACS in doing normal mode calculations on 
periodic systems?  Can you suggest any likely things I'm doing wrong?

Anne Kelley

Anne Myers Kelley
Professor of Chemistry, School of Natural Sciences
Secretary-Treasurer, APS Division of Laser Science
University of California, Merced
5200 North Lake Road, Merced, CA 95343
Tel. 209-228-4345
amkel...@ucmerced.edu
http://faculty.ucmerced.edu/amkelley/


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