Selecting the DMA:   UseDMA

Synopsis

[-]usedma   1|2|3|4|5|6|7|8|9

Description

The keyword specifies which DMA has to be used in the calculation of molecular properties (moments and interaction energies). Currently, PAMoC can store up to eight different DMAs, but only one of these is used in the calculations. The DMA used by default is the one retrieved from the interface data file (IDF). This can be replaced by any DMA, specified through the keyword “[-]usedma <n>”. It should be emphasized that the substitution will only affect the calculation of those properties that explicitly depend on DMA. The remaining properties still rely on the electronic density provided by the IDF.

It is up to the user to provide PAMoC with other DMAs in addition to that supplied by the IDF. This is accomplished through a number of appropriate keywords (see below).

If the IDF is a wavefunction file (.wfn), PAMoC generates two DMAs. The first is a generalization of the Mulliken population analysis. The second is obtained using the Stone nearest-site allocation algorithm. The Mulliken DMA (n = 1) is assumed as the default in subsequent calculations. The Stone DMA can be selected by setting “[-]usedma 2”.

As stated above, the selected DMA is used to calculate properties that explicitly depend on DMA, i.e. molecular electrostatic moments and interaction energies. However PAMoC evaluates molecular electrostatic moments using all the available DMAs. This is done to test the accuracy of the partitioning schemes of the electron density that yielded the different DMAs. Indeed, while different partitioning schemes may lead to quite different DMAs of the electron density of a molecule, the calculation of molecular moments from each of these DMAs must lead to the same result. This is like a jigsaw puzzle which is created by cutting a picture into small pieces with a jigsaw. From the same picture you can get many puzzles which differ from each other for the number and shape of interlocking and tesselating pieces, but all these puzzles will show the same picture when the assembling of all pieces is complete. This fact is illustrated in the Figure.

20-pieces puzzle 63-pieces puzzle
Figure − The whole picture is left unchanged by different partitioning schemes.

In conclusion, the choice of different DMAs can be useful only in the calculation of intermolecular electrostatic energies of interaction, crystal cohesion energies, and electrostatic moments of molecular fragments.

DMAs available in PAMoC

1 Mulliken multipole analysis.
The overlap densities of a bicentric term are equally partitioned between the two sites involved. It is evaluated for all wavefunctions.
2 Stone multipole analysis.
The overlap densities of a bicentric term are allocated to the nearest site. It is evaluated for all wavefunctions.
3 Becke partitioning scheme.
See also keyword bck.
4 Stewart pseudoatom partitioning scheme.
Evaluated from least-squares multipole analysis of X-ray diffraction data.
5 Quantum topological atom partitioning scheme.
See also keywords arc and sur.
6 Hirshfeld's stockholder partitioning scheme.
See also keyword stk.
7 Not used. 8 External DMA.
See also keyword ext.
9 Charges from the Electronegativity Equalization Method.
It is always evaluated. See also keyword eem.

Related Keywords

idf | bdf | wfn
specifies the pathname of the Interface Data File (IDF) on disk. The default DMA is defined in this way.
arc
specifies the pathname of the disk file that contains the archive of QTAIM integrated properties. These include DMA number 5. It is often combined with keyword sur.
sur
specifies the pathname of the disk file that contains the surfaces of the QTAIM atomic basins. It is usually combined with keyword arc.
bck
specifies the pathname of the disk file that contains the archive of integrated atomic properties within Becke's partitioning scheme. These include DMA number 3.
stk
specifies the pathname of the disk file that contains the archive of integrated atomic properties within Hirshfeld's stockholder partitioning scheme. These include DMA number 6.
stw
specifies the pathname of the disk file that contains the archive of integrated atomic properties within Stewart's pseudoatom partitioning scheme. These include DMA number 4. Stewart DMA is usually retrieved from the appropriate Interface Data File (e.g. VALRAY binary data file, see also idf).
ext
specifies the pathname of the disk file that contains an external DMA (n = 9).
eem
requires the determination of atomic charges by the Electronegativity Equalization Method (EEM).
export_dma
saves all the available DMAs on a disk file.
prtdma | printdma
controls printing of the nuclear centred distributed multipole analysis (DMA).
prtmom | printmom
controls printing of molecular electric moments.