10.9.2 seward input for Embedded Cluster calculationsTo perform embedded cluster (EC) calculations requires certain degree of experience and therefore the reader is referred to the literature quoted in section 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 Tl+ impurity in 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 (TlF12)11-. A flexible basis for the cluster must be determined. Figure contains the basis set selection for the thallium and fluorine atoms. In this case ECP-type basis sets have been selected. For 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 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 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 F in figure 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: KMgF3. Here, the Tl+ impurity substitutes a K+ ion in an Oh site with 12 coordination. The first coordination shell of fluorine ions has been included into the cluster structure and the interactions to the Tl atom will be computed by quantum mechanical methods. The rest of the lattice will be represented by the structure 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 figure .
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 figure , 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 Mg+2 and 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 figure . 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. Figure contains the complete sample input to perform a SCF energy calculation on the system (TlF12)11-:KMgF3.
&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 Next: Bibliography Up: 10. 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