Phonon eigendisplacements in cubic ZrO2
Posted: Wed Feb 24, 2010 9:45 am
Dear colleagus,
I would like to find out the eigendisplacements in the cubic ZrO2, for example at some point between Gamma and X. Motivation is the instability at X point. Since the phonon eigenvalues turn out wrong for me (2 TA modes are unstable at X instead of TO (but I don't know if it's degenerate)), I would like to know are these phonon modes I get really acoustic or am I just reading it wrong.
But when I get the results from anaddb, I get for example these at Gamma:
Phonon frequencies in cm-1 :
- 0.000000E+00 0.000000E+00 0.000000E+00 2.767236E+02 2.767236E+02
- 2.767236E+02 5.956055E+02 5.956056E+02 5.956056E+02
Mode number 1 Energy 0.000000E+00
Attention : low frequency mode.
(Could be unstable or acoustic mode)
; 1 1.17976621E-05 -2.08707954E-05 2.10982444E-03
; 0.00000000E+00 0.00000000E+00 0.00000000E+00
; 2 1.17978818E-05 -2.08712849E-05 2.10982562E-03
; 0.00000000E+00 0.00000000E+00 0.00000000E+00
; 3 1.17977383E-05 -2.08712329E-05 2.10982538E-03
; 0.00000000E+00 0.00000000E+00 0.00000000E+00
I'm worried about the displacements in x and y directions. Shouldn't they be 0 exactly? Is it because of incompletely converged variables like ecut and ngkpt (I used ecut 50 Ha and ngkpt 3*12)?
Similarly, for q-point 0.01875 0.01875 0.03750 close to Gamma in the Gamma-X direction, I get:
Phonon frequencies in cm-1 :
- -9.842997E+01 -8.312513E+01 7.530105E+01 2.643965E+02 2.870527E+02
- 5.938648E+02 5.953870E+02 5.989505E+02 6.829342E+02
Mode number 1 Energy -4.484800E-04
Attention : low frequency mode.
(Could be unstable or acoustic mode)
; 1 5.65833328E-04 1.75619733E-03 7.70260089E-04
; 7.74029616E-05 -3.30273232E-04 4.42049210E-04
; 2 8.40020422E-04 1.51462318E-03 6.99001493E-04
; 5.36760655E-04 -8.07336369E-04 8.80414463E-04
; 3 7.34390945E-04 1.42349495E-03 4.87154580E-04
; 9.50544684E-04 9.66364543E-05 8.96842780E-04
Could anyone help me and explain why this happens? How can I identify phonon modes with these results? Should I ignore eigenvectors with lengths lower the 10^(-3) and consider them as 0?
I'm attaching my rf and anaddb input file.
Thank you all in advance!
Yours,
Igor Lukacevic
I would like to find out the eigendisplacements in the cubic ZrO2, for example at some point between Gamma and X. Motivation is the instability at X point. Since the phonon eigenvalues turn out wrong for me (2 TA modes are unstable at X instead of TO (but I don't know if it's degenerate)), I would like to know are these phonon modes I get really acoustic or am I just reading it wrong.
But when I get the results from anaddb, I get for example these at Gamma:
Phonon frequencies in cm-1 :
- 0.000000E+00 0.000000E+00 0.000000E+00 2.767236E+02 2.767236E+02
- 2.767236E+02 5.956055E+02 5.956056E+02 5.956056E+02
Mode number 1 Energy 0.000000E+00
Attention : low frequency mode.
(Could be unstable or acoustic mode)
; 1 1.17976621E-05 -2.08707954E-05 2.10982444E-03
; 0.00000000E+00 0.00000000E+00 0.00000000E+00
; 2 1.17978818E-05 -2.08712849E-05 2.10982562E-03
; 0.00000000E+00 0.00000000E+00 0.00000000E+00
; 3 1.17977383E-05 -2.08712329E-05 2.10982538E-03
; 0.00000000E+00 0.00000000E+00 0.00000000E+00
I'm worried about the displacements in x and y directions. Shouldn't they be 0 exactly? Is it because of incompletely converged variables like ecut and ngkpt (I used ecut 50 Ha and ngkpt 3*12)?
Similarly, for q-point 0.01875 0.01875 0.03750 close to Gamma in the Gamma-X direction, I get:
Phonon frequencies in cm-1 :
- -9.842997E+01 -8.312513E+01 7.530105E+01 2.643965E+02 2.870527E+02
- 5.938648E+02 5.953870E+02 5.989505E+02 6.829342E+02
Mode number 1 Energy -4.484800E-04
Attention : low frequency mode.
(Could be unstable or acoustic mode)
; 1 5.65833328E-04 1.75619733E-03 7.70260089E-04
; 7.74029616E-05 -3.30273232E-04 4.42049210E-04
; 2 8.40020422E-04 1.51462318E-03 6.99001493E-04
; 5.36760655E-04 -8.07336369E-04 8.80414463E-04
; 3 7.34390945E-04 1.42349495E-03 4.87154580E-04
; 9.50544684E-04 9.66364543E-05 8.96842780E-04
Could anyone help me and explain why this happens? How can I identify phonon modes with these results? Should I ignore eigenvectors with lengths lower the 10^(-3) and consider them as 0?
I'm attaching my rf and anaddb input file.
Thank you all in advance!
Yours,
Igor Lukacevic