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7.7 Restricted Open-Shell and ΔSCF Methods

7.7.7 ALMO-SGM Method

(July 4, 2026)

Studying the numerical stability of the initial guess density in OO-DFT methods 144 Bogo N. et al.
Phys. Chem. Chem. Phys.
(2025), 27, pp. 17533.
Link
, we concluded that, in the case of CT excitations, a suitable guess density can be obtained for a fragmented system by using the absolutely localized molecular orbitals (ALMO) method 1314 Stoll H., Wagenblast G., Preuss H.
Theor. Chem. Acc.
(1980), 57, pp. 169.
Link
, 440 Gianinetti E., Raimondi M., Tornaghi E.
Int. J. Quantum Chem.
(1996), 60, pp. 157.
Link
. The ALMO method is presented in Section 12.5. In this method, the atom-centered Gaussian basis is localized, and ionized fragments can be computed. The resulting density is properly polarized for the calculation of intermolecular CT excitations, and can be further relaxed using the SGM method. Convergence is robust, and the input preparation is more straightforward compared to the FRZ-SGM method, although it is not straightforwardly transferable to covalently bonded systems.

Example 7.7.57  Example input for the calculation of the lowest-lying intermolecular charge transfer excitation energy in the anthracene-tetracyanoethylene dimer using ALMO-SGM 144 Bogo N. et al.
Phys. Chem. Chem. Phys.
(2025), 27, pp. 17533.
Link
and the nonequilibrium conductor-like polarizable continuum (C-PCM) solvation model 1530 You Z.-Q. et al.
J. Chem. Phys.
(2015), 143, pp. 204104.
Link
, 940 Mewes J.-M. et al.
J. Phys. Chem. A
(2015), 119, pp. 5446.
Link
for dichloromethane (DCM). The excitation energy and transition dipole moment to the CT excitation are calculated.

$molecule
0 1
---
0 1
C       0.0000024972    -1.3939649880    -1.2808767121
C       0.0000025051     1.3939644651    -1.2808767282
C      -1.2186821591    -0.7141902026    -1.3071478062
C       1.2186864041    -0.7141896146    -1.3071387589
C      -1.2186821243     0.7141897115    -1.3071478120
C       1.2186863774     0.7141891121    -1.3071387637
C      -2.4644125118    -1.4013703998    -1.3157095813
C       2.4644171860    -1.4013692038    -1.3157202646
C      -2.4644123040     1.4013701670    -1.3157095358
C       2.4644169957     1.4013689421    -1.3157202095
C      -3.6355756821    -0.7091886883    -1.3209438667
C       3.6355802205    -0.7091872626    -1.3209819362
C      -3.6355756149     0.7091887273    -1.3209437866
C       3.6355801612     0.7091872572    -1.3209818529
H       0.0000024198    -2.4788109280    -1.2699497414
H       0.0000024299     2.4788104048    -1.2699497864
H      -2.4609901895    -2.4845736396    -1.3142370557
H       2.4609967495    -2.4845724379    -1.3142287226
H      -2.4609894842     2.4845734123    -1.3142370884
H       2.4609960822     2.4845721821    -1.3142287476
H      -4.5790700028    -1.2397330066    -1.3238607200
H       4.5790785788    -1.2397242939    -1.3239159625
H      -4.5790698620     1.2397331701    -1.3238605613
H       4.5790784507     1.2397244044    -1.3239157964
---
0 1
C      -0.0000060964    -0.6804948447     1.8114150650
C      -0.0000061169     0.6804936064     1.8114151444
C       1.2158428238    -1.4225502703     1.8615716187
C      -1.2158551579    -1.4225518647     1.8615295498
C       1.2158426874     1.4225492361     1.8615717275
C      -1.2158551065     1.4225507587     1.8615296588
N       2.1947618514    -2.0185775621     1.9228707722
N      -2.1947808705    -2.0185720940     1.9227856078
N       2.1947616310     2.0185766696     1.9228709110
N      -2.1947807686     2.0185710748     1.9227857419
$end

$comment
ALMO on the ground state to set up the localized basis
$end

$rem
jobtype             sp
scf_guess           fragmo
FRGM_METHOD         STOLL
SCF_PRINT_FRGM      TRUE
method              wB97xD
basis               def2-TZVP
scf_max_cycles      1000
sym_ignore          true
symmetry            false
thresh              14
unrestricted        true
solvent_method      pcm
$end

$rem_frgm
   unrestricted    true
   SCF_CONVERGENCE 5
   SCF_ALGORITHM   DIIS_GDM
   THRESH          14
$end

$pcm
theory             iefpcm
$end

$solvent
Dielectric         8.9
Dielectric_Infi    2.03
$end

@@@

$rem
unrestricted        true
jobtype             sp
method              wB97xD
scf_guess           read
basis               def2-TZVP
scf_algorithm       diis_gdm
max_scf_cycles      250
sym_ignore          true
symmetry            false
IQMOL_FCHK          TRUE
trans_mom_save      true
solvent_method      pcm
$end

$pcm
theory             iefpcm
rf_ptss_save       true
$end

$solvent
Dielectric         8.9
Dielectric_Infi    2.03
$end

$molecule
read
$end

@@@

$molecule
0 1
---
1 2
C       0.0000024972    -1.3939649880    -1.2808767121
C       0.0000025051     1.3939644651    -1.2808767282
C      -1.2186821591    -0.7141902026    -1.3071478062
C       1.2186864041    -0.7141896146    -1.3071387589
C      -1.2186821243     0.7141897115    -1.3071478120
C       1.2186863774     0.7141891121    -1.3071387637
C      -2.4644125118    -1.4013703998    -1.3157095813
C       2.4644171860    -1.4013692038    -1.3157202646
C      -2.4644123040     1.4013701670    -1.3157095358
C       2.4644169957     1.4013689421    -1.3157202095
C      -3.6355756821    -0.7091886883    -1.3209438667
C       3.6355802205    -0.7091872626    -1.3209819362
C      -3.6355756149     0.7091887273    -1.3209437866
C       3.6355801612     0.7091872572    -1.3209818529
H       0.0000024198    -2.4788109280    -1.2699497414
H       0.0000024299     2.4788104048    -1.2699497864
H      -2.4609901895    -2.4845736396    -1.3142370557
H       2.4609967495    -2.4845724379    -1.3142287226
H      -2.4609894842     2.4845734123    -1.3142370884
H       2.4609960822     2.4845721821    -1.3142287476
H      -4.5790700028    -1.2397330066    -1.3238607200
H       4.5790785788    -1.2397242939    -1.3239159625
H      -4.5790698620     1.2397331701    -1.3238605613
H       4.5790784507     1.2397244044    -1.3239157964
---
-1 -2
C      -0.0000060964    -0.6804948447     1.8114150650
C      -0.0000061169     0.6804936064     1.8114151444
C       1.2158428238    -1.4225502703     1.8615716187
C      -1.2158551579    -1.4225518647     1.8615295498
C       1.2158426874     1.4225492361     1.8615717275
C      -1.2158551065     1.4225507587     1.8615296588
N       2.1947618514    -2.0185775621     1.9228707722
N      -2.1947808705    -2.0185720940     1.9227856078
N       2.1947616310     2.0185766696     1.9228709110
N      -2.1947807686     2.0185710748     1.9227857419
$end

$comment
ALMO should provide a good guess for SGM
$end

$rem
jobtype             sp
scf_guess           fragmo
FRGM_METHOD         STOLL
SCF_PRINT_FRGM      TRUE
method              wB97xD
basis               def2-TZVP
scf_max_cycles      1000
sym_ignore          true
symmetry            false
thresh              14
unrestricted        true
solvent_method      pcm
$end

$rem_frgm
   unrestricted    true
   SCF_CONVERGENCE 5
   SCF_ALGORITHM   DIIS_GDM
   THRESH          14
$end

$pcm
theory             iefpcm
$end

$solvent
Dielectric         8.9
Dielectric_Infi    2.03
$end

@@@

$rem
   unrestricted        true
   thresh              14
   scf_convergence     5
   scf_algorithm       sgm_ls
   method              wB97xD
   basis               def2-TZVP
   scf_guess           read
   scf_max_cycles      500
   sym_ignore          true
   symmetry            false
   MAKE_CUBE_FILES     TRUE
   PLOTS               TRUE
   IQMOL_FCHK          TRUE
   trans_mom_read      true
   solvent_method      pcm
$end

$pcm
theory             iefpcm
rf_ptss_read       true
$end

$solvent
Dielectric         8.9
Dielectric_Infi    2.03
$end

$plots
   total_density    0
   grid_spacing     0.05
$end

$molecule
read
$end