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12.6 Second-Generation ALMO-EDA Method

12.6.8 ALMO-EDA with Non-Perturbative Polarization and Charge Transfer Analysis

(July 4, 2026)

Q-Chem also supports the non-perturbative 1396 Veccham S. P. et al.
Phys. Chem. Chem. Phys.
(2021), 23, pp. 928.
Link
(variational) energy and charge decomposition analysis in the second-generation ALMO-EDA framework through the eda2 driver. The advantage of this method over the perturbative CT analysis method is that the energy and charge decompositions are both exact and there are no higher-order terms left. Currently, this method is implemented for both restricted and unrestricted SCF calculations, and is eligible to analyze both polarization 1249 Shen H., Veccham S. P., Head-Gordon M.
J. Chem. Theory Comput.
(2023), 19, pp. 8624.
Link
(POL) and charge transfer (CT) processes of intermolecular interactions. The non-perturbative POL and CT analysis can be invoked by setting EDA_POL_A = TRUE and EDA_VCT_A = TRUE, respectively. The POL analysis 1249 Shen H., Veccham S. P., Head-Gordon M.
J. Chem. Theory Comput.
(2023), 19, pp. 8624.
Link
uses the recently developed fragment density matrix connecting method and can break the energy lowering and charge shift in the POL process into exactly fragment-wise additive sums. The CT analysis will print out the pairwise energy and charge changes between fragments as matrices, with fragment labels starting from 1, following the orders in the Q-Chem fragment input. The interpretation is that the energy lowering and charge transfer happens due to electron donation from the fragments labeled in the rows to the fragments labeled in the columns.

The default orbital analysis method is the complementary occupied-virtual pairs (COVP) method. To select the significant COVPs, set EDA_COVP_THRESH = N to print out the COVPs that contributes more than 0.001×N kJ/mol to the energy decrease, and the default value is set to 500. To visualize the COVPs, set EDA_SAVE_COVP = TRUE, MAKE_CUBE_FILES = TRUE and PLOTS = TRUE to save the orbitals as cube files, which can be visualized using IQmol, VMD, or other visualization software. The natural orbitals for chemical valence (NOCV) analysis can also be performed by setting EDA_NOCV = TRUE. To select the significant NOCVs, set EDA_NOCV_THRESH = N to print out NOCVs that contributes more than 0.001×N kJ/mol to energy decrease, and the default value is also set to 500. The NOCV analysis includes the POL process, CT process, and the traditional NOCV results which combine the POL and CT processes. As pointed out in this paper 1250 Shen H., Wang Z., Head-Gordon M.
J. Chem. Theory Comput.
(2022), 18, pp. 7428.
Link
, the ETS-NOCV method approximates the effective Fock matrix integration with only one quadrature, which is set by EDA_NOCV_QUADRATURE =1, and Q-Chem also supports 5-quadratures for systems with significant density changes. As an improvement upon the NOCVs, the recently proposed occupied-virtual orbitals for chemical valence (OVOCV) 1248 Shen H., Head-Gordon M.
J. Phys. Chem. A
(2024), 128, pp. 5202.
Link
can also be used to analyse the CT step. The OVOCVs block-diagonalize the density difference operator into 2 × 2 blocks, which are spanned by one level that is filled in the initial state (the occupied OVOCV) and one that is empty (the virtual OVOCV), making them much easier to interpret than the NOCVs. For a more detailed introduction to OVOCV analysis, we refer the users to 10.3.4. To enable OVOCV analysis, set OVOCV_ANALYSIS = 1 and OVOCV_THRESH = N to print out the OVOCVs that contributes more than 0.001×N kJ/mol to the energy decrease.

Unrestricted analysis will be used if at least one of the fragments has an open-shell structure. It can also be forced by setting UNRESTRICTED=TRUE.

EDA_POL_A

EDA_POL_A
       Perform EDA for polarization process
TYPE:
       BOOLEAN
DEFAULT:
       FALSE
OPTIONS:
       FALSE Do not perform EDA for polarization process TRUE Perform EDA for polarization process
RECOMMENDATION:
       Set to TRUE to perform EDA for polarization process

EDA_VCT_A

EDA_VCT_A
       Perform non-perturbative CT analysis
TYPE:
       BOOLEAN
DEFAULT:
       FALSE
OPTIONS:
       FALSE Do not perform non-perturbative CT analysis TRUE Perform non-perturbative CT analysis.
RECOMMENDATION:
       Set to TRUE to perform non-perturbative CT analysis

EDA_COVP_THRESH

EDA_COVP_THRESH
       Specifies the significance above which the COVPs will be saved
TYPE:
       INTEGER
DEFAULT:
       500
OPTIONS:
       N COVPs that contributes more than 0.001×N kJ/mol in energy decrease will be saved
RECOMMENDATION:
       None

EDA_SAVE_COVP

EDA_SAVE_COVP
       Save significant COVPs or not
TYPE:
       BOOLEAN
DEFAULT:
       FALSE
OPTIONS:
       FALSE Do not save significant COVPs TRUE Save significant COVPs
RECOMMENDATION:
       Set to TRUE to save COVPs. Note that REMs for plotting cube files need also be set

EDA_NOCV

EDA_NOCV
       Perform NOCV analysis
TYPE:
       BOOLEAN
DEFAULT:
       FALSE
OPTIONS:
       FALSE Do not do NOCV analysis TRUE Do NOCV analysis
RECOMMENDATION:
       None

EDA_NOCV_THRESH

EDA_NOCV_THRESH
       Specifies the significance above which the NOCVs will be saved
TYPE:
       INTEGER
DEFAULT:
       500
OPTIONS:
       N NOCVs that contributes more than 0.001×N kJ/mol in energy decrease will be saved
RECOMMENDATION:
       None

EDA_SAVE_NOCV

EDA_SAVE_NOCV
       Save significant NOCVs or not
TYPE:
       INTEGER
DEFAULT:
       0
OPTIONS:
       0 Do not save significant NOCVs 1 Save significant NOCVs
RECOMMENDATION:
       Set to 1 to save NOCVs. Note REMs for plotting cube files need also be set

EDA_NOCV_QUADRATURE

EDA_NOCV_QUADRATURE
       Number of quadratures used to integrate effective fock matrix
TYPE:
       INTEGER
DEFAULT:
       1
OPTIONS:
       1 Use 1 quadrature 5 Use 5 quadratures
RECOMMENDATION:
       Most of the time, one quadrature is enough. However, in cases where the NOCV energy decreases are very different from the corresponding COVP results, it is recommended to increase the quadrature numbers.

OVOCV_ANALYSIS

OVOCV_ANALYSIS
       Perform OVOCV analysis
TYPE:
       BOOLEAN
DEFAULT:
       FALSE
OPTIONS:
       FALSE Do not do OVOCV analysis TRUE Do OVOCV analysis
RECOMMENDATION:
       None

OVOCV_THRESH

OVOCV_THRESH
       Specifies the significance above which the OVOCVs will be saved
TYPE:
       INTEGER
DEFAULT:
       500
OPTIONS:
       N OVOCVs that contributes more than 0.001×N kJ/mol in energy decrease will be saved
RECOMMENDATION:
       None

SAVE_OVOCV

SAVE_OVOCV
       Save significant OVOCVs or not
TYPE:
       INTEGER
DEFAULT:
       0
OPTIONS:
       0 Do not save significant OVOCVs 1 Save significant OVOCVs
RECOMMENDATION:
       Set to 1 to save OVOCVs. Note REMs for plotting cube files need also be set

Example 12.20  Restricted EDA calculation for the H2O-Na+ system with non-perturbative POL and CT analysis.

$molecule
1 1
--
0 1
H         -0.73946        0.94887        0.78379
O         -1.16910        0.63297       -0.02844
H         -2.12156        0.70793        0.14730
--
1 1
Na        -0.17266       -0.04338       -1.86190
$end

$comment
EDA2 (R) calculation with variational POL and CT analyses
based on the eda2 driver
$end

$rem
jobtype              eda
eda2                 1
method               B3LYP
scf_print_frgm       1
basis                6-31G*
scf_algorithm        diis
thresh               12
incfock              false
mem_total            16000
scf_convergence      7
scf_final_print      2
eda_pol_a            1
eda_vct_a            1
eda_covp_thresh      500
eda_save_covp        0
make_cube_files      true
plots                true
point_group_symmetry false
integral_symmetry    false
$end

$plots
 grid_points 50 50 50
$end

Example 12.21  Unrestricted EDA calculation for the CH3-Na+ system with non-perturbative POL and CT analysis.

$molecule
1 2
--
0 2
C¯-1.447596 -0.000023  0.000019
H¯-1.562749  0.330361 -1.023835
H¯-1.561982  0.721445  0.798205
H¯-1.561187 -1.052067  0.225866
--
1 1
Na¯ 1.215591  0.000036 -0.000032
$end

$comment
EDA2 (U) calculation with variational POL and CT analyses
based on the eda2 driver
$end

$rem
jobtype              eda
eda2                 1
method               B3LYP
scf_print_frgm       true
basis                aug-cc-PVTZ
scf_algorithm        diis
thresh               12
incfock              false
mem_total            16000
scf_convergence      7
eda_pol_a            1
eda_vct_a            1
eda_covp_thresh      500
eda_save_covp        0
make_cube_files      true
plots                true
point_group_symmetry false
integral_symmetry    false
$end

$plots
 grid_points 50 50 50
$end

Example 12.22  Unrestricted EDA calculation for the Rn+-CH4 system with non-perturbative POL and CT analysis and NOCV analysis

$molecule
1 2
--
0 1
C         0.0551597051    0.0364080371   -0.0375528310
H        -0.0563410694   -1.0144740143   -0.3153331540
H        -0.0537558345    0.7868509829   -0.8318467516
H        -0.8718690962    0.2438110339    0.5677588397
H         1.0408273042    0.1810559688    0.4109829953
--
1 2
Rn       -0.2646060092    0.6373989916    3.0026329017
$end

$rem
jobtype             eda
eda2                1
method              b3lyp
scf_print_frgm      1
basis               def2-tzvp
ecp                 def2-ecp
scf_algorithm       diis
thresh              12
incfock             0
mem_total           16000
scf_final_print     2
iprint              20000000
scf_convergence     7
eda_pol_a           1
eda_vct_a           1
eda_save_covp       0
eda_nocv            1
eda_save_nocv       0
eda_covp_thresh     500
eda_nocv_thresh     500
eda_nocv_quadrature 1
make_cube_files     true
plots               true
point_group_symmetry false
integral_symmetry    false
$end

$plots
 grid_points 100 100 100
$end

Example 12.23  Restricted EDA calculation for the ethene-[PtCl3]- system with non-perturbative POL and CT analysis. OVOCV analysis is enabled for CT analysis.

$molecule
-1 1
--
0 1
C      -2.1241906261     0.4405879048    -0.6028769327
H      -2.2759080470     0.1247332923    -1.6303256895
H      -2.2970177347     1.4883974948    -0.3784045735
C      -2.1383367135    -0.5060266611     0.4271962891
H      -2.3004855320    -1.5544440597     0.1975704475
H      -2.3216355550    -0.1916949240     1.4498166705
--
-1 1
Pt     -0.1374350284    -0.0292366293    -0.0576671311
Cl     -0.1541352882    -1.7330117528    -1.6304294395
Cl      2.1808813192    -0.0260821423    -0.0234510188
Cl     -0.2063937942     1.6741234771     1.5139773781
$end

$rem
jobtype              eda
eda2                 1
eda_bsse             0
method               wb97x-v
scf_print_frgm       1
sym_ignore           1
symmetry             false
basis                def2-svp
ecp                  def2-ecp
scf_algorithm        diis
thresh               14
incfock              0
mem_total            16000
scf_final_print      2
scf_convergence      8
eda_pol_a            1
eda_vct_a            1
eda_covp_thresh      10000
eda_save_covp        0
eda_nocv             1
eda_save_nocv        0
eda_nocv_thresh      10000
eda_nocv_quadrature  5
ovocv_analysis       1
ovocv_thresh         10000
save_ovocv           0
make_cube_files      true
plots                true
$end

$plots
grid_points 50 50 50
$end