5.2.2. Core and Embedding Potentials within the SEWARD Program

8.3 is able to perform effective core potential (ECP) and embedded cluster (EC) calculations. In ECP calculations [314][315] the core electrons of a molecule are kept frozen and represented by a set of atomic effective potentials, while only the valence electrons are explicitly handled in the quantum mechanical calculation. In EC calculations only the electrons assigned to a piece of the whole system, the cluster, are explicitly treated in a quantum mechanical calculation, while the rest of the whole system, the environment, is kept frozen and represented by embedding potentials which act onto the cluster. For an explanation of the type of potentials and approaches used in Molcas the reader is referred to the section 4.2.55.3 of the user’s guide.

To use such type of effective potentials implies to compute a set of atomic integrals and therefore involves only the SEWARD program. The remaining Molcas programs will simply use the integrals in the standard way and no indication of the use of ECP will appear in the outputs further on; the difference is of course that the absolute energies obtained for the different methods are not comparable to those obtained in an all-electron calculation. Therefore, the only input required to use ECP or EC is the SEWARD input, according to the examples given below. In the input files of the subsequent Molcas programs the orbitals corresponding to the excluded core orbitals should of course not be included, and not the excluded electrons.

5.2.2.1. SEWARD input for Effective Core Potential calculations

Astatine (\(\ce{At}\)) is the atomic element number 85 which has the main configuration in its electronic ground state: [core] 6s\(^2\) 5d\(^{10}\) 6p\(^5\). In the core 68 electrons are included, corresponding to the xenon configuration plus the 4f\(^{14}\) lantanide shell. To perform an ECP calculation in a molecular system containing \(\ce{At}\) it is necessary to specify which type of effective potential will substitute the core electrons and which valence basis set will complement it. Although the core ECP’s (strictly AIMP’s, see section 4.2.55.3 of the user’s guide) can be safely mixed together with all-electron basis set, the valence basis sets included in the Molcas AIMP library have been explicitly optimized to complement the AIMP potentials.

The file ECP in the Molcas directory $MOLCAS/basis_library contains the list of available core potentials and valence basis sets. Both the relativistic (CG-AIMP’s) and the nonrelativistic (NR-AIMP’s) potentials are included. As an example, this is the head of the entry corresponding to the relativistic ECP for \(\ce{At}\):

/At.ECP.Barandiaran.13s12p8d5f.1s1p2d1f.17e-CG-AIMP.
Z.Barandiaran, L.Seijo, J.Chem.Phys. 101(1994)4049; L.S. JCP 102(1995)8078.
core[Xe,4f] val[5d,6s,6p]  SO-corr  (11,1,1/9111/611*/4o1)=3s4p3d2f recommended
*
* - spin-orbit basis set correction from
*   L.Seijo, JCP 102(1995)8078.
*
* - (5o) f orthogonality function is the 4f core orbital
*
*ATQR-DSP(A3/A2/71/5)-SO       (A111/9111/611/41)

The first line is the label line written in the usual SEWARD format: element symbol, basis label, first author, size of the primitive set, size of the contracted set (in both cases referred to the valence basis set), and type of ECP used. In this case there are 17 valence electrons and the effective potential is a Cowan–Griffin-relativistic core AIMP. The number of primitive functions for the valence basis set (13s12p8d5f here) will split into different subsets (within a segmented contraction scheme) according to the number of contracted functions. In the library, the contracted basis functions have been set to the minimal basis size: 1s1p2d1f for the valence electrons in \(\ce{At}\). This means the following partition: 1s contracted function including 13 primitive functions; 1p contracted function including 12 primitive functions; 2d contracted functions, the first one containing seven primitive functions and the second one primitive function (see the library), and finally 1f contracted function containing five primitive functions.

In the SEWARD input the user can modify the contraction scheme simply varying the number of contracted functions. There is a recommended size for the valence basis set which is printed in the third line for each atom entry on the library: 3s4p3d2f for \(\ce{At}\). For example, the simplest way to include the atom core potential and valence basis set in the SEWARD input would be:

At.ECP...3s4p3d2f.17e-CG-AIMP.

This means a partition for the valence basis set as showed in Block 5.2.2.1.

Block 5.2.2.1 Partition of a valence basis set using the ECP’s library
Basis set:AT.ECP...3S4P3D2F.17E-CG-AIMP.

                 Type
                  s
          No.      Exponent    Contraction Coefficients
           1   .133037396D+07  -.000154   .000000   .000000
           2   .993126141D+05  -.001030   .000000   .000000
           3   .128814005D+05  -.005278   .000000   .000000
           4   .247485916D+04  -.014124   .000000   .000000
           5   .214733934D+03   .069168   .000000   .000000
           6   .111579706D+03   .020375   .000000   .000000
           7   .370830653D+02  -.259246   .000000   .000000
           8   .113961072D+02   .055751   .000000   .000000
           9   .709430236D+01   .649870   .000000   .000000
          10   .448517638D+01  -.204733   .000000   .000000
          11   .157439587D+01  -.924035   .000000   .000000
          12   .276339384D+00   .000000  1.000000   .000000
          13   .108928284D+00   .000000   .000000  1.000000

                 Type
                  p
          No.      Exponent    Contraction Coefficients
          14   .608157825D+04   .000747   .000000   .000000   .000000
          15   .128559298D+04   .009304   .000000   .000000   .000000
          16   .377428675D+03   .026201   .000000   .000000   .000000
          17   .552551834D+02  -.087130   .000000   .000000   .000000
          18   .233740022D+02  -.044778   .000000   .000000   .000000
          19   .152762905D+02   .108761   .000000   .000000   .000000
          20   .838467359D+01   .167650   .000000   .000000   .000000
          21   .234820847D+01  -.290968   .000000   .000000   .000000
          22   .119926577D+01  -.237719   .000000   .000000   .000000
          23   .389521915D+00   .000000  1.000000   .000000   .000000
          24   .170352883D+00   .000000   .000000  1.000000   .000000
          25   .680660800D-01   .000000   .000000   .000000  1.000000

                 Type
                  d
          No.      Exponent    Contraction Coefficients
          26   .782389711D+03   .007926   .000000   .000000
          27   .225872717D+03   .048785   .000000   .000000
          28   .821302011D+02   .109617   .000000   .000000
          29   .173902999D+02  -.139021   .000000   .000000
          30   .104111329D+02  -.241043   .000000   .000000
          31   .195037661D+01   .646388   .000000   .000000
          32   .689437556D+00   .000000  1.000000   .000000
          33   .225000000D+00   .000000   .000000  1.000000

                 Type
                  f
          No.      Exponent    Contraction Coefficients
          34   .115100000D+03   .065463   .000000
          35   .383200000D+02   .270118   .000000
          36   .151600000D+02   .468472   .000000
          37   .622900000D+01   .387073   .000000
          38   .242100000D+01   .000000  1.000000

Therefore, the primitive set will always be split following the scheme: the first contracted function will contain the total number of primitives minus the number of remaining contracted functions and each of the remaining contracted functions will contain one single uncontracted primitive function. In the present example possible contraction patterns are: contracted 1s1p2d1f (13/12/8,1/5 primitives per contracted function, respectively), 2s2p3d2f (12,1/11,1/7,1,1/4,1), 3s3p4d2f (11,1,1/10,1,1/6,1,1,1/4,1), etc. Any other scheme which cannot be generated in this way must be included in the input using the Inline format for basis sets or an additional user’s library. When the Inline option is used both the valence basis set and the AIMP potential must be included in the input, as it will be shown in the next section.

For an explanation of the remaining items in the library the reader is referred to the section 4.2.55.3 of the user’s guide.

Block 5.2.2.2 contains the sample input required to compute the SCF wave function for the astatine hydride molecule at an internuclear distance of 3.2 au. The Cowan–Griffin-relativistic core-AIMP has been used for the \(\ce{At}\) atom with a size for the valence basis set recommended in the ECP library: 3s4p3d2f.

Block 5.2.2.2 Sample input required by SEWARD and SCF programs to compute the SCF wave function of \(\ce{HAt}\) using a relativistic ECP
&GATEWAY
Title
HAt molecule using 17e-Cowan-Griffin-relativistic core-AIMP
coord
2
coordinates in bohr
At 0 0 0
H  0 0 3.2
group
X Y
Basis set
H.ano-l-vtzp
Basis set
At.ECP...3s4p3d2f.17e-CG-AIMP.
&SEWARD
&SCF
Title
 HAt g.s. (At-val=5d,6s,6p)
Occupied
 4 2 2 1

5.2.2.2. SEWARD input for Embedded Cluster calculations

To perform embedded cluster (EC) calculations requires certain degree of experience and therefore the reader is referred to the literature quoted in section 4.2.55.3 of the user’s guide. On the following a detailed example is however presented. It corresponds to EC calculations useful for local properties associated to a \(\ce{Tl^+}\) impurity in \(\ce{KMgF3}\). First, a cluster must be specified. This is the piece of the system which is explicitly treated by the quantum mechanical calculation. In the present example the cluster will be formed by the unit \(\ce{(TlF_{12})^{11-}}\). A flexible basis for the cluster must be determined. Block 5.2.2.4 contains the basis set selection for the thallium and fluorine atoms. In this case ECP-type basis sets have been selected. For \(\ce{Tl}\) a valence basis set of size 3s4p4d2f has been used combined with the relativistic core-AIMP potentials as they appear in the ECP library. For the \(\ce{F}\) atom the valence basis set has been modified from that appearing in the ECP library. In this case the exponent of the p-diffuse function and the p contraction coefficients of the \(\ce{F}\) basis set have been optimized in calculations on the fluorine anion included in the specific lattice in order to obtain a more flexible description of the anion. This basis set must be introduced Inline, and then also the ECP potential must be added to the input. The user can compare the basis set and ECP for \(\ce{F}\) in Block 5.2.2.4 with the entry of ECP under /F.ECP.Huzinaga.5s6p1d.1s2p1d.7e-NR-AIMP. The entry for the Inline format must finish with the line End of Spectral Representation Operator.

Once the cluster has been defined it is necessary to represent the embedding lattice. Presently, Molcas includes embedding potentials for ions of several elpasolites, fluoro-perovskites, rocksalt structure oxides and halides, and fluorites. The embedding potentials for any other structure can be included in the input using the Inline format or included in a private user library. In the selected example a fluoro-perovskite lattice has been selected: \(\ce{KMgF3}\). Here, the \(\ce{Tl^+}\) impurity substitutes a \(\ce{K^+}\) ion in an \(O_h\) site with 12 coordination. The first coordination shell of fluorine ions has been included into the cluster structure and the interactions to the \(\ce{Tl}\) atom will be computed by quantum mechanical methods. The rest of the lattice will be represented by the structure \(\ce{KMgF3}\) with five shells of ions at experimental sites. The shells have been divided in two types. Those shells closer to the cluster are included as embedding potentials from the library ECP. For example the potassium centers will use the entry on Block 5.2.2.3.

Block 5.2.2.3 Sample input for an embedded core potential for a shell of potassium cations
Basis set
K.ECP..0s.0s.0e-AIMP-KMgF3.
PSEUdocharge
K2-1    0.0000000000   0.0000000000   7.5078420000
K2-2    0.0000000000   7.5078420000   0.0000000000
K2-3    0.0000000000   7.5078420000   7.5078420000
K2-4    7.5078420000   0.0000000000   0.0000000000
K2-5    7.5078420000   0.0000000000   7.5078420000
K2-6    7.5078420000   7.5078420000   0.0000000000
K2-7    7.5078420000   7.5078420000   7.5078420000
End Of Basis

No basis set is employed to represent the potassium centers on Block 5.2.2.3, which just act as potentials embedding the cluster. The keyword PSEUdocharge ensures that the interaction energy between the embedding potentials is not included in the “Nuclear repulsion energy” and that their location is not varied in a geometry optimization (SLAPAF). The first shells of \(\ce{Mg^{+2}}\) and \(\ce{F^-}\) will be introduced in the same way.

The remaining ions of the lattice will be treated as point charges. To add a point charge on the SEWARD input it is possible to proceed in two ways. One possibility is to employ the usual label to introduce an atom with its basis functions set to zero and the keyword CHARge set to the value desired for the charge of the center. This way of introducing point charges must not be used when geometry optimizations with the SLAPAF program is going to be performed because SLAPAF will recognize the point charges as atoms whose positions should be optimized. Instead the keyword XFIEld can be used as it is illustrated in Block 5.2.2.4. XFIEld must be followed by a line containing the number of point charges, and by subsequent lines containing the cartesian coordinates and the introduced charge or the three components of the dipole moment at the specified geometry. In any case the seven positions in each line must be fulfilled. To ensure the neutral character of the whole system the point charges placed on the terminal edges, corners or faces of the lattice must have the proper fractional values.

Block 5.2.2.4 contains the complete sample input to perform a SCF energy calculation on the system \(\ce{(TlF_{12})^{11-}{:}KMgF3}\).

Block 5.2.2.4 Sample input for a SCF geometry optimization of the \(\ce{(TlF_{12})^{11-}{:}KMgF3}\) system
&GATEWAY
Title
|                          Test run TlF12:KMgF3.1                              |
|** Molecule **   (TlF12)11- cluster embedded in a lattice of KMgF3            |
|** Basis set and ECP **                                                       |
|  * Tl * (11,1,1/9,1,1,1/5,1,1,1/4,1)                             from ECP    |
|         13e-Cowan-Griffin-relativistic core-AIMP                 from ECP    |
|  * F *  (4,1/4,1,1) diffuse-p optimized in KMgF3:F(-)                  inline|
|          7e-nonrelativistic core-AIMP                                  inline|
|  KMgF3 embedding-AIMPs                                           from ECP    |
|** cluster geometry **   r(Tl-F)/b= 5.444 = 3.84948932 * sqrt(2)              |
|** lattice **  (perovskite structure) 5 shells of ions at experimental sites  |
Symmetry
X Y Z

Basis set
Tl.ECP.Barandiaran.13s12p8d5f.3s4p4d2f.13e-CG-AIMP.
Tl     0.00000   0.00000   0.00000
End Of Basis

Basis set
F.ECP.... / Inline
*    basis set and core-AIMP as in: F.ECP.Huzinaga.5s6p1d.2s4p1d.7e-NR-AIMP.
*    except that the p-diffuse and the p contraction coeffs. have been
*    optimized in KMgF3-embedded F(-) scf calculations.
  7.000000         1
    5    2
   405.4771610
   61.23686380
   13.47117730
   1.095173720
   .3400847530
  -.013805187800   .000000000000
  -.089245064800   .000000000000
  -.247937861000   .000000000000
   .632895340000   .000000000000
   .000000000000   .465026336000
    6    3
   44.13600920
   9.982597110
   2.947082680
   .9185111850
   .2685213550
   .142
   .015323038700   .000000000000   .000000000000
   .095384703000   .000000000000   .000000000000
   .291214218000   .000000000000   .000000000000
   .441351868000   .000000000000   .000000000000
   .000000000000   .427012588000   .000000000000
   .000000000000   .000000000000  1.000000000000
*
* Core AIMP: F-1S
*
* Local Potential Paramenters : (ECP convention)
*                               A(AIMP)=-Zeff*A(ECP)
M1
    7
   279347.4000
   31889.74900
   5649.977600
   1169.273000
   269.0513200
   71.29884600
   22.12150700

   .004654725000
   .007196816857
   .015371258571
   .032771900000
   .070383742857
   .108683807143
   .046652035714
M2
    0
COREREP
   1.0
PROJOP
    0
   14    1
  52.7654040
   210965.4100
   31872.59200
   7315.837400
   2077.215300
   669.9991000
   232.1363900
   84.99573000
   32.90124100
   13.36331800
   5.588141500
   2.319058700
   .9500928100
   .3825419200
   .1478404000
   .000025861368
   .000198149380
   .001031418900
   .004341016600
   .016073698000
   .053856655000
   .151324390000
   .318558040000
   .404070310000
   .190635320000
   .011728993000
   .002954046500
  -.000536098280
   .000278474090
*
Spectral Representation Operator
Valence primitive basis
Exchange
End of Spectral Representation Operator
F_1        3.849489320       3.849489320        .000000000
F_2         .000000000       3.849489320       3.849489320
F_3        3.849489320        .000000000       3.849489320
* 3*4 = 12
End Of Basis

* end of cluster data: TlF12

* beginning of lattice embedding data: KMgF3

Basis set
K.ECP.Lopez-Moraza.0s.0s.0e-AIMP-KMgF3.
pseudocharge
* K(+) ions as embedding AIMPs
K2-1    0.0000000000   0.0000000000   7.5078420000
K2-2    0.0000000000   7.5078420000   0.0000000000
K2-3    0.0000000000   7.5078420000   7.5078420000
K2-4    7.5078420000   0.0000000000   0.0000000000
K2-5    7.5078420000   0.0000000000   7.5078420000
K2-6    7.5078420000   7.5078420000   0.0000000000
K2-7    7.5078420000   7.5078420000   7.5078420000
* 3*2 + 3*4 + 1*8 = 26
End Of Basis

Basis set
Mg.ECP.Lopez-Moraza.0s.0s.0e-AIMP-KMgF3.
pseudocharge
* Mg(2+) ions as embedding AIMPs
MG1-1   3.7539210000   3.7539210000   3.7539210000
MG3-1   3.7539210000   3.7539210000  11.2617630000
MG3-2   3.7539210000  11.2617630000   3.7539210000
MG3-3   3.7539210000  11.2617630000  11.2617630000
MG3-4  11.2617630000   3.7539210000   3.7539210000
MG3-5  11.2617630000   3.7539210000  11.2617630000
MG3-6  11.2617630000  11.2617630000   3.7539210000
MG3-7  11.2617630000  11.2617630000  11.2617630000
* 8*8 = 64
End Of Basis

Basis set
F.ECP.Lopez-Moraza.0s.0s.0e-AIMP-KMgF3.
pseudocharge
* F(-) ions as embedding AIMPs
F2-1    3.7539210000   3.7539210000   7.5078420000
F2-2    3.7539210000   7.5078420000   3.7539210000
F2-3    7.5078420000   3.7539210000   3.7539210000
F3-1    0.0000000000   3.7539210000  11.2617630000
F3-2    3.7539210000   0.0000000000  11.2617630000
F3-3    3.7539210000  11.2617630000   0.0000000000
F3-4    0.0000000000  11.2617630000   3.7539210000
F3-5    3.7539210000  11.2617630000   7.5078420000
F3-6    0.0000000000  11.2617630000  11.2617630000
F3-7    3.7539210000   7.5078420000  11.2617630000
F3-8   11.2617630000   3.7539210000   0.0000000000
F3-9   11.2617630000   0.0000000000   3.7539210000
F3-10   11.2617630000   3.7539210000   7.5078420000
F3-11    7.5078420000   3.7539210000  11.2617630000
F3-12   11.2617630000   0.0000000000  11.2617630000
F3-13   11.2617630000  11.2617630000   0.0000000000
F3-14    7.5078420000  11.2617630000   3.7539210000
F3-15   11.2617630000   7.5078420000   3.7539210000
F3-16   11.2617630000  11.2617630000   7.5078420000
F3-17    7.5078420000  11.2617630000  11.2617630000
F3-18   11.2617630000   7.5078420000  11.2617630000
* 9*4 +  12*8 = 132
End Of Basis

* The rest of the embedding lattice will be represented by point charges,
* which enter into the calculation in the form of a XField.
*
XField
 95
*
* K(+) ions as point charges
    0.0000000000   0.0000000000  15.0156840000       +1.0  0.  0.  0.
    0.0000000000   7.5078420000  15.0156840000       +1.0  0.  0.  0.
    0.0000000000  15.0156840000   0.0000000000       +1.0  0.  0.  0.
    0.0000000000  15.0156840000   7.5078420000       +1.0  0.  0.  0.
    0.0000000000  15.0156840000  15.0156840000       +1.0  0.  0.  0.
    7.5078420000   0.0000000000  15.0156840000       +1.0  0.  0.  0.
    7.5078420000   7.5078420000  15.0156840000       +1.0  0.  0.  0.
    7.5078420000  15.0156840000   0.0000000000       +1.0  0.  0.  0.
    7.5078420000  15.0156840000   7.5078420000       +1.0  0.  0.  0.
    7.5078420000  15.0156840000  15.0156840000       +1.0  0.  0.  0.
   15.0156840000   0.0000000000   0.0000000000       +1.0  0.  0.  0.
   15.0156840000   0.0000000000   7.5078420000       +1.0  0.  0.  0.
   15.0156840000   0.0000000000  15.0156840000       +1.0  0.  0.  0.
   15.0156840000   7.5078420000   0.0000000000       +1.0  0.  0.  0.
   15.0156840000   7.5078420000   7.5078420000       +1.0  0.  0.  0.
   15.0156840000   7.5078420000  15.0156840000       +1.0  0.  0.  0.
   15.0156840000  15.0156840000   0.0000000000       +1.0  0.  0.  0.
   15.0156840000  15.0156840000   7.5078420000       +1.0  0.  0.  0.
   15.0156840000  15.0156840000  15.0156840000       +1.0  0.  0.  0.
*
* F(-) ions as point charges
    3.7539210000   3.7539210000  15.0156840000       -1.0  0.  0.  0.
    3.7539210000  11.2617630000  15.0156840000       -1.0  0.  0.  0.
    3.7539210000  15.0156840000   3.7539210000       -1.0  0.  0.  0.
    3.7539210000  15.0156840000  11.2617630000       -1.0  0.  0.  0.
   11.2617630000   3.7539210000  15.0156840000       -1.0  0.  0.  0.
   11.2617630000  11.2617630000  15.0156840000       -1.0  0.  0.  0.
   11.2617630000  15.0156840000   3.7539210000       -1.0  0.  0.  0.
   11.2617630000  15.0156840000  11.2617630000       -1.0  0.  0.  0.
   15.0156840000   3.7539210000   3.7539210000       -1.0  0.  0.  0.
   15.0156840000   3.7539210000  11.2617630000       -1.0  0.  0.  0.
   15.0156840000  11.2617630000   3.7539210000       -1.0  0.  0.  0.
   15.0156840000  11.2617630000  11.2617630000       -1.0  0.  0.  0.
*
* Mg(2+) ions in face, as fractional point charges
   3.7539210000   3.7539210000  18.7696050000        +1.0  0.  0.  0.
   3.7539210000  11.2617630000  18.7696050000        +1.0  0.  0.  0.
   3.7539210000  18.7696050000   3.7539210000        +1.0  0.  0.  0.
   3.7539210000  18.7696050000  11.2617630000        +1.0  0.  0.  0.
  11.2617630000   3.7539210000  18.7696050000        +1.0  0.  0.  0.
  11.2617630000  11.2617630000  18.7696050000        +1.0  0.  0.  0.
  11.2617630000  18.7696050000   3.7539210000        +1.0  0.  0.  0.
  11.2617630000  18.7696050000  11.2617630000        +1.0  0.  0.  0.
  18.7696050000   3.7539210000   3.7539210000        +1.0  0.  0.  0.
  18.7696050000   3.7539210000  11.2617630000        +1.0  0.  0.  0.
  18.7696050000  11.2617630000   3.7539210000        +1.0  0.  0.  0.
  18.7696050000  11.2617630000  11.2617630000        +1.0  0.  0.  0.
*
* Mg(2+) ions in edge, as fractional point charges
   3.7539210000  18.7696050000  18.7696050000     +0.5  0.  0.  0.
  11.2617630000  18.7696050000  18.7696050000     +0.5  0.  0.  0.
  18.7696050000   3.7539210000  18.7696050000     +0.5  0.  0.  0.
  18.7696050000  11.2617630000  18.7696050000     +0.5  0.  0.  0.
  18.7696050000  18.7696050000   3.7539210000     +0.5  0.  0.  0.
  18.7696050000  18.7696050000  11.2617630000     +0.5  0.  0.  0.
*
* Mg(2+) ions in corner, as fractional point charges
  18.7696050000  18.7696050000  18.7696050000      +0.25  0. 0. 0.
*
* F(-) ions in face, as fractional point charges
   0.0000000000   3.7539210000  18.7696050000       -0.5  0. 0. 0.
   3.7539210000   0.0000000000  18.7696050000       -0.5  0. 0. 0.
   0.0000000000  11.2617630000  18.7696050000       -0.5  0. 0. 0.
   3.7539210000   7.5078420000  18.7696050000       -0.5  0. 0. 0.
   3.7539210000  18.7696050000   0.0000000000       -0.5  0. 0. 0.
   0.0000000000  18.7696050000   3.7539210000       -0.5  0. 0. 0.
   3.7539210000  18.7696050000   7.5078420000       -0.5  0. 0. 0.
   0.0000000000  18.7696050000  11.2617630000       -0.5  0. 0. 0.
   3.7539210000  18.7696050000  15.0156840000       -0.5  0. 0. 0.
   3.7539210000  15.0156840000  18.7696050000       -0.5  0. 0. 0.
   7.5078420000   3.7539210000  18.7696050000       -0.5  0. 0. 0.
  11.2617630000   0.0000000000  18.7696050000       -0.5  0. 0. 0.
   7.5078420000  11.2617630000  18.7696050000       -0.5  0. 0. 0.
  11.2617630000   7.5078420000  18.7696050000       -0.5  0. 0. 0.
  11.2617630000  18.7696050000   0.0000000000       -0.5  0. 0. 0.
   7.5078420000  18.7696050000   3.7539210000       -0.5  0. 0. 0.
  11.2617630000  18.7696050000   7.5078420000       -0.5  0. 0. 0.
   7.5078420000  18.7696050000  11.2617630000       -0.5  0. 0. 0.
  11.2617630000  18.7696050000  15.0156840000       -0.5  0. 0. 0.
  11.2617630000  15.0156840000  18.7696050000       -0.5  0. 0. 0.
  18.7696050000   3.7539210000   0.0000000000       -0.5  0. 0. 0.
  18.7696050000   0.0000000000   3.7539210000       -0.5  0. 0. 0.
  18.7696050000   3.7539210000   7.5078420000       -0.5  0. 0. 0.
  18.7696050000   0.0000000000  11.2617630000       -0.5  0. 0. 0.
  18.7696050000   3.7539210000  15.0156840000       -0.5  0. 0. 0.
  15.0156840000   3.7539210000  18.7696050000       -0.5  0. 0. 0.
  18.7696050000  11.2617630000   0.0000000000       -0.5  0. 0. 0.
  18.7696050000   7.5078420000   3.7539210000       -0.5  0. 0. 0.
  18.7696050000  11.2617630000   7.5078420000       -0.5  0. 0. 0.
  18.7696050000   7.5078420000  11.2617630000       -0.5  0. 0. 0.
  18.7696050000  11.2617630000  15.0156840000       -0.5  0. 0. 0.
  15.0156840000  11.2617630000  18.7696050000       -0.5  0. 0. 0.
  15.0156840000  18.7696050000   3.7539210000       -0.5  0. 0. 0.
  18.7696050000  15.0156840000   3.7539210000       -0.5  0. 0. 0.
  15.0156840000  18.7696050000  11.2617630000       -0.5  0. 0. 0.
  18.7696050000  15.0156840000  11.2617630000       -0.5  0. 0. 0.
*
* F(-) ions in edge, as fractional point charges
   0.0000000000  18.7696050000  18.7696050000       -0.25  0. 0. 0.
   7.5078420000  18.7696050000  18.7696050000       -0.25  0. 0. 0.
  18.7696050000   0.0000000000  18.7696050000       -0.25  0. 0. 0.
  18.7696050000   7.5078420000  18.7696050000       -0.25  0. 0. 0.
  18.7696050000  18.7696050000   0.0000000000       -0.25  0. 0. 0.
  18.7696050000  18.7696050000   7.5078420000       -0.25  0. 0. 0.
  18.7696050000  18.7696050000  15.0156840000       -0.25  0. 0. 0.
  15.0156840000  18.7696050000  18.7696050000       -0.25  0. 0. 0.
  18.7696050000  15.0156840000  18.7696050000       -0.25  0. 0. 0.

*  end of lattice embedding data: KMgF3

* 13 cluster components  and 881 lattice components

&SEWARD
&SCF
Title
 (TlF12)11- run as D2h
Occupied
 12    7    7    6    7    6    6    3