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5.3 Overview of Available Functionals

5.3.8 Semi-Empirical Functionals

(December 11, 2025)

5.3.8.1 Grimme “3c” Methods

The following methods are available in Q-Chem:

  • HF-3c: It is an HF-based semi-empirical method which is used with a minimal basis called MINIX. All the elements from H to Xe are supported. For the elements from Rb (Z=37) to Xe (Z=54), def2-ECP must be used. 1285 Sure R., Grimme S.
    J. Comput. Chem.
    (2013), 34, pp. 1672.
    Link

  • PBEh-3c: It is a DFT based method which is used with def2-mSVP basis set.This is available for all the elements from H to Rn. For the elements from Rb (Z=37) to Rn (Z=86), def2-ECP has to be used. It is a more accurate method than HF-3c as it has correlation, 471 Grimme S. et al.
    J. Chem. Phys.
    (2015), 143, pp. 054107.
    Link
    although the double-ζ basis set makes it more expensive for large molecules.

Note:  The HF-3c and PBEh-3c methods were parameterized for use with the aforementioned basis sets. Although Q-Chem does not enforce this, other basis sets should not be used unless there is a good reason for doing so, and only then with caution as the results may not match published accuracy. Analytic frequencies are available for these DFT-3c methods, with derivatives of the “3c” term computed numerically. In most cases this should be invisible to the user; see Section 5.3.8.2 for job control settings related to semi-numerical calculation of the Hessian.

5.3.8.2 Job Control and Examples for DFT-3c

FDIFF_STENCIL_3C

FDIFF_STENCIL_3C
       Specifies whether to use a 5-point stencil for derivatives of the “3c” part of DFT-3c.
TYPE:
       STRING
DEFAULT:
       No default
OPTIONS:
       5 Use the 5-point stencil
RECOMMENDATION:
       If this variable is not specified then Q-Chem will use a 3-point stencil, which has proven adequate in previous testing. Use the 5-point stencil only if questions arise about the accuracy of the semi-numerical frequencies.

Example 5.4  HF-3c calculation on the I-(H2O) complex.

$rem
 method  hf-3c
 basis   minix
 ecp     def2-ecp
$end

$molecule
-1 1
        I         0.6539056222    0.0300979939    0.0000000000
        O        -2.8593081518    0.0835488510    0.0000000000
        H        -1.8947008157    0.2596704547    0.0000000000
        H        -2.8641221666   -0.8778240298    0.0000000000
$end

Example 5.5  PBEh-3c calculation on (H2O)2.

$molecule
   0 1
   O  -1.551007  -0.114520   0.000000
   H  -1.934259   0.762503   0.000000
   H  -0.599677   0.040712   0.000000
   O   1.350625   0.111469   0.000000
   H   1.680398  -0.373741  -0.758561
   H   1.680398  -0.373741   0.758561
$end

$rem
   METHOD           PBEh-3c
   BASIS            def2-mSVP
   XC_GRID          000099000590
   INCDFT           0
   INCFOCK          0
   SCF_CONVERGENCE  8
   THRESH           14
   INTEGRAL_SYMMETRY    false
   POINT_GROUP_SYMMETRY false
$end