The molecular structures, properties and glycating power of some reducing disaccharides (Cellobiose, Gentiobiose, Isomaltose, Lactose, Laminaribiose, Maltose, Mannobiose and Xylobiose) have been studied by resorting to Chemical Reactivity Theory including Conceptual DFT and Molecular Electron Density Theory (MEDT). The reactivity sites for nucleophilic and electrophilic attacks have been chosen by relating them to the Fukui function indices, the condensed dual descriptor ∆f(r) and the Parr functions. The glycating power of the reducing disaccharides is compared with that of simple hexoses and pentoses through the values of the calculated reactivity descriptors.
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Molecular Modeling of the Structures, Properties and Glycating Power of Some Reducing Disaccharides 2/14Copyright: ©2017 Frau et al.Using a finite difference approximation and the "Koopmans in DFT" procedure (KID) , the former expressions can be written as: (3) (4) where H ε and L ε are the highest occupied and the lowest unoccupied molecular orbitals, HOMO and LUMO, respectively. In turn, the electrophilicity index ω has been defined as [17]:(5) The condensed Fukui functions can be employed to determine the reactivity of each atom in the molecule. The corresponding condensed functions are given by (6) (For nucleophilic attack),(for electrophilic attack), and (8) (for radical attack), where q K is the gross charge of atom k in the molecule.The condensed dual descriptor has been defined as [18,19]:From the interpretation given to the Fukui function, one can note that the sign of the dual descriptor is very important to characterize the reactivity of a site within a molecule toward a nucleophilic or an electrophilic attack. That is, if (10) Then the site is favored for a nucleophilic attack, whereas if (11) Then the site may be favored for an electrophilic attack [18][19][20].In 2013, Domingo proposed the Parr functions P(r) [21,22] which are given by the following equations:(12) (for electrophilic attacks) and (13) (for nucleophilic attacks) which are related to the atomic spin density (ASD) at the r atom of the radical cation or anion of a given molecule, respectively. The ASD over each atom of the radical cation and radical anion of the molecule gives the local nucleophilic P k − and electrophilic P k + Parr functions of the neutral molecule [23].
Settings and computational methodsFollowing the lines of our previous work and it has been described in detail before, [8][9][10][11][12][13][14] all computational studies were performed with the Gaussian 09 [24] series of programs with density functional methods as implemented in the computational package. The equilibrium geometries of the molecules were determined by means of the gradient technique. The force constants and vibrational frequencies were determined by computing analytical frequencies on the stationary points obtained after the optimization to check if there were true minima. The basis set used in this work was Def2SVP for geometry optimization and frequencies while Def2TZVP ...