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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 114, 2016 - Issue 10
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Research Articles

All molecular surfaces are equal: demanding invariance of predictions in linear single-variable models

, , &
Pages 1559-1567 | Received 09 Sep 2015, Accepted 04 Jan 2016, Published online: 03 Feb 2016

Figures & data

Figure 1. Surfaces of constant electron density for compound 1. The electron density on the outer surface is 0.0001 a.u., while it is 0.0040 a.u. on the inner. Both surfaces were computed with the B3LYP functional and a basis set of type 6-31G(d). The illustration was produced with the GaussView 4 software [Citation13].

Figure 1. Surfaces of constant electron density for compound 1. The electron density on the outer surface is 0.0001 a.u., while it is 0.0040 a.u. on the inner. Both surfaces were computed with the B3LYP functional and a basis set of type 6-31G(d). The illustration was produced with the GaussView 4 software [Citation13].

Table 2. Tolerances applied to identify points on the studied molecular surfaces.

Table 1. Overview of studied compounds, their ν and Π values on the surfaces , and . The quantity Π is listed in units of Hartree, ν is dimensionless.

Figure 2. The parameter values of Π and σ on the isosurfaces , , , and . Both Π and σ are given in units of Hartree.

Figure 2. The parameter values of Π and σ on the isosurfaces , , , and . Both Π and σ are given in units of Hartree.

Figure 3. The parameter values of ν and Θ on the isosurfaces , , , and .

Figure 3. The parameter values of ν and Θ on the isosurfaces , , , and .

Figure 4. Left: the parameter values of s′ on the isosurfaces , , , and . Right: the imbalance quantities Θ and ν.

Figure 4. Left: the parameter values of s′ on the isosurfaces , , , and . Right: the imbalance quantities Θ and ν.