[CPMD-list] TDDFT diagonalization problem

Łukasz Walewski ljw at icm.edu.pl
Wed Dec 5 09:47:53 UTC 2007


Dear Colleagues !

I want to optimize the geometry of malonaldehyde in 2nd singlet excited
state - this is more of the calibration and learning than a serious
research. 1st singlet and 1st triplet states optimized very well using
BLYP functional, TM normconserving pseudos and the cutoff of 85 Ry. In
2nd singlet excited state the problems occur at the very beginning when
it comes to diagonalizing TDDFT matrix (ELECTRONIC SPECTRA run).
Davidson method simply does not converge and the DIIS optimizer turns
on. After some steps something goes wrong (NaN). On the other hand there
are many reports of successful calculation of the reaction pathway in
the S2 state using e.g. CASSCF method. Is there something prohibitive in
TDDFT or Tamm-Dancoff approximation that I (new to TDDFT) did not fully
understand or is it just a technical issue ?

Input:

&CPMD
  ELECTRONIC SPECTRA
  DIAGONALIZATION LANCZOS
  ISOLATED MOLECULE
  CENTER MOLECULE
&END

&TDDFT
  STATES SINGLET
    2
  TAMM-DANCOFF
  DAVIDSON PARAMETER
    150 1.D-7 50
  DAVIDSON RDIIS
    40 3 1.D-3
&END

&SYSTEM
  ANGSTROM
  SYMMETRY
    8
  CELL ABSOLUTE
    10.0 10.0 7.0 0 0 0
  CUTOFF
    85.0
&END

&DFT
  FUNCTIONAL BLYP
  GC-CUTOFF
    5.D-6
&END

&ATOMS
*O_MT_BLYP.psp KLEINMAN-BYLANDER
   LMAX=P
   2
       6.191021000000       6.698682000000       7.499957000000
       8.640750000000       6.638256000000       7.499966000000
*C_MT_BLYP.psp KLEINMAN-BYLANDER
   LMAX=P
   3
       8.695525000000       7.938102000000       7.500018000000
       7.465729000000       8.689156000000       7.499907000000
       6.200399000000       7.999649000000       7.500009000000
*H_MT_BLYP.psp KLEINMAN-BYLANDER
   LMAX=S
   4
       7.444409000000       6.259053000000       7.499975000000
       9.664199000000       8.401942000000       7.500090000000
       7.465734000000       9.762156000000       7.499935000000
       5.256652000000       8.510208000000       7.500074000000
CONSTRAINTS
   FIX STRUCTURE
   1
   DIFFER 1 6 2 .0
END CONSTRAINTS
&END


(partial) output:

================================================================
 ==            DAVIDSON DIAGONALISATION OF TDDFT MATRIX        ==
 ================================================================
  ITER      STATES      SUBSPACE             RESIDUAL        TCPU
     1           0             2       0.14709947E-02       11.84
     2           0             4       0.18604014E-03       11.77
     3           0             6       0.40119050E-02       11.60
     4           0             8       0.33008935E-01       11.97
     5           0            10       0.96734776E-02        8.88
     6           0            12       0.25567779E-02        9.94
     7           0            14       0.10075854E-02        9.75
     8           1            16       0.45615021E-03       10.10
     9           1            17       0.37400695E-03        5.19
    10           1            18       0.20701144E-03        5.19
    11           1            19       0.30069471E-03        5.37
    12           1            20       0.53039825E-03        5.42
 >>> RESIDUAL DIIS OPTIMIZATION OF ROOT                         2
  ITER      ENERGY      SUBSPACE             RESIDUAL        TCPU
     1     5.32330             1       0.53040762E-03        4.91
     2     5.32026             2       0.14856434E-03        4.84
     3     5.31755             3       0.87516146E-04        4.74
     4     5.31411             4       0.62037932E-04        4.30
     5     5.31152             4       0.57641858E-04        5.75
     6     5.31010             4       0.55942548E-04        7.48
     7     5.30919             4       0.55578369E-04        7.16
     8     5.31105             4       0.54668835E-04        4.52
     9     5.31164             4       0.53386220E-04        4.80
    10     5.31267             4       0.51513120E-04        4.57
    11     5.32171             4       0.43997184E-04        4.68
    12     5.34103             4       0.32928663E-04        4.66
    13     5.35106             4       0.26192807E-04        4.54
    14     5.35273             4       0.20616123E-04        4.76
    15     5.35421             4       0.14095987E-04        4.46
    16     5.35466             4       0.81855763E-05        4.59
    17     5.35440             4       0.74781079E-05        4.45
    18     5.35413             4       0.57619201E-05        4.56
    19     5.35396             4       0.23649238E-05        4.60
    20     5.35398             4       0.43807682E-05        4.42
    21     5.35394             4       0.18597910E-05        6.86
    22     5.35405             4       0.50842677E-05        7.01
    23     5.35394             4       0.18570448E-05       14.03
    24         NaN             4                  NaN        7.01
    25         NaN             4                  NaN        7.08
    26         NaN             4                  NaN        7.04
    27         NaN             4                  NaN        7.41
    28         NaN             4                  NaN        7.27
    29         NaN             4                  NaN        7.18
    30         NaN             4                  NaN        7.09
    31         NaN             4                  NaN        6.42
    32         NaN             4                  NaN        6.14
    33         NaN             4                  NaN        6.05
    34         NaN             4                  NaN        6.26
    35         NaN             4                  NaN        6.44
    36         NaN             4                  NaN        6.99
    37         NaN             4                  NaN        7.12
    38         NaN             4                  NaN        7.74
    39         NaN             4                  NaN        7.38
    40         NaN             4                  NaN        7.37
 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
 !! DAVIDSON| NOT ALL ROOTS ARE CONVERGED                      !!
 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Thanks and regards to all!
Lukasz


-- 
Łukasz Walewski <ljw at icm.edu.pl>
ICM UW



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