Bond length and the electron density at the bond critical point: XX, ZZ, and CZ bonds (X = Li-F, Z = Na-Cl)

2007 ◽  
Vol 29 (3) ◽  
pp. 367-379 ◽  
Author(s):  
Norberto Castillo ◽  
Katherine N. Robertson ◽  
S. C. Choi ◽  
Russell J. Boyd ◽  
Osvald Knop
Author(s):  
Marcin Stachowicz ◽  
Maura Malinska ◽  
Jan Parafiniuk ◽  
Krzysztof Woźniak

On the basis of a multipole refinement of single-crystal X-ray diffraction data collected using an Ag source at 90 K to a resolution of 1.63 Å−1, a quantitative experimental charge density distribution has been obtained for fluorite (CaF2). The atoms-in-molecules integrated experimental charges for Ca2+and F−ions are +1.40 e and −0.70 e, respectively. The derived electron-density distribution, maximum electron-density paths, interaction lines and bond critical points along Ca2+...F−and F−...F−contacts revealed the character of these interactions. The Ca2+...F−interaction is clearly a closed shell and ionic in character. However, the F−...F−interaction has properties associated with the recently recognized type of interaction referred to as `charge-shift' bonding. This conclusion is supported by the topology of the electron localization function and analysis of the quantum theory of atoms in molecules and crystals topological parameters. The Ca2+...F−bonded radii – measured as distances from the centre of the ion to the critical point – are 1.21 Å for the Ca2+cation and 1.15 Å for the F−anion. These values are in a good agreement with the corresponding Shannon ionic radii. The F−...F−bond path and bond critical point is also found in the CaF2crystal structure. According to the quantum theory of atoms in molecules and crystals, this interaction is attractive in character. This is additionally supported by the topology of non-covalent interactions based on the reduced density gradient.


1998 ◽  
Vol 25 (8) ◽  
pp. 574-584 ◽  
Author(s):  
G. V. Gibbs ◽  
M. B. Boisen ◽  
F. C. Hill ◽  
O. Tamada ◽  
R. T. Downs

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Tímea R. Kégl ◽  
László Kollár ◽  
Tamás Kégl

The σ-donor properties of various P-donor ligands have been studied at the PBEPBE level of theory, which has proved to be accurate in computing the symmetric carbonyl stretching frequencies in nickel(0)-tricarbonyl complexes containing P-donor ligands. The delocalization index from the QTAIM methodology and the energy component associated with the NOCV deformation density representing the donor interaction give the best correlation with Tolman’s electronic parameters, whereas the electron density at the bond critical point and the Wiberg bond index are connected with the donor strength of the ligands to a lesser extent.


1987 ◽  
Vol 65 (5) ◽  
pp. 1109-1123 ◽  
Author(s):  
S. C. Choi ◽  
Russell J. Boyd ◽  
Osvald Knop

The molecular parameters of the isoelectronic tetrahedral species NaF43−, MgF42−, AlF4−nCln−, SiF4−nCln PF4−nCln+, SF42+, and ClF43+ have been investigated by abinitio calculations at the 6-31G* level. The bond lengths and the critical radii of X in XF4ε are found to decrease monotonically with the formal oxidation state m of X up to and including X = S but show an upturn at X = Cl. The relative position of the critical point in the X—F bond, rc(X)/(X—F), remains relatively constant for m = 1–3; for m = 4–6 the critical point moves gradually closer to X, but for m = 7 it shifts appreciably away from X. The increase in the electron density at the bond critical point of XF4ε (and probably also of XCl4ε) is represented reasonably closely by a power function amb. The effect of progressive replacement of F in XF4ε (X = Al, Si, P) by Cl on the bond lengths and angles depends on the sign of ε. For ε = −1, X—F and X—Cl decrease and FXF increases; for ε = 0 and 1, X—F and X—Cl increase and FXF decreases. These changes increase in magnitude, in their respective directions, with |ε|. Relationships between the bond lengths and the bond angles are described. The excess total electronic energies [Formula: see text] are negative for all three X; they are largest (and approximately symmetric with respect to n) for Al, smaller (and asymmetric) for P, and very small for Si. The amount of charge transferred from F or Cl to X varies in a complicated manner with m and n, and the rates of transfer of charge with «in an XF4−nClnε molecule are not the same for F and Cl. More than one unit of charge is transferred from a halogen atom to X in ClF43+ and PCl4+.


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