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ADVANCED USERS DMACRYS & NEIGHCRYS manual Manual ...

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analytical second derivatives being generated in the relaxation step, because this is faster and usually almost<br />

as accurate.<br />

Error messages<br />

Error - cannot locate a lower energy along a negative eigenvalue<br />

This indicates that even the smallest displacement selected by <strong>DMACRYS</strong> was too large, and none of the<br />

points investigated were lower in energy than the original saddle point structure.<br />

THE FORCE CONSTANT MATRIX IS AS FOLLOWS<br />

THE GRADIENT VECTOR IS AS FOLLOWS<br />

The force constant matrix and gradient vector may be printed by setting PRIN PLUT 01000. If just the<br />

gradient vector is required, set PRIN PLUT 03000 (first and last cycle only) or PRIN PLUT 04000 (Each<br />

cycle). There are 6*MOLS + 6 elements. The order of the elements is<br />

x, y and z derivatives of each molecule in the sorted order. This is followed by the torsions for each<br />

molecule.<br />

6 components of the bulk strain derivatives.<br />

Note that there are mixed second derivatives between all three types. The elements of the matrix are not<br />

scaled to eV Angstrom units. To convert to eV Angstrom units, multiply<br />

W or G Position Multiplication Resulting Units<br />

From<br />

To<br />

factor<br />

Gradient 1 6*MOLS<br />

14.3994584 (eV Å) -1<br />

2<br />

RLAT<br />

6*MOLS<br />

ENDS<br />

14.3994584 (eV Å) -2<br />

3<br />

RLAT<br />

Matrix 1,1 6*MOLS,6*MOLS 14.3994584 (eV Å) -2<br />

3<br />

RLAT<br />

1,6*MOLS<br />

6*MOLS,END 14.3994584 (eV Å) -3<br />

4<br />

RLAT<br />

6*MOLS,6*MOLS END,END<br />

14.3994584<br />

5<br />

RLAT<br />

(eV Å) -4<br />

The lattice vectors, basis species types and positions will be written to FORTRAN unit 8. This is by default<br />

for <strong>DMACRYS</strong>.<br />

3.10 PROPERTIES CALCULATIONS<br />

The elastic stiffness tensor 1 and k=0 phonon frequencies 2 of the perfect crystal at 0 K are estimated within<br />

<strong>DMACRYS</strong> from the second derivatives of the energy with respect to rigid body motions. The omission of<br />

the NOPR directive means that the full second derivative matrix is calculated numerically from the<br />

analytical gradients. The time taken to carry out the calculations is increased significantly.<br />

The calculation should start from a lattice energy minimum; otherwise the relaxation may change the<br />

conventional Cartesian reference frame, leading to an error in the definition of the elastic constants. The<br />

restarting of the calculation may lead to insignificant small changes. The values that are changed very<br />

slightly by the NOPR directive being omitted are:<br />

• Ewald summed charge-charge energy<br />

• Inter-molecular charge-charge energy<br />

• Total charge-dipole energy<br />

• Total dipole-dipole energy<br />

• Total charge-dipole+dipole-dipole energy<br />

• Higher multipole interaction energy<br />

• Total isotropic repulsion-dispersion<br />

• The Eigenvalues for the representations<br />

42

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