The complementary “lock and key” patterns of weakly
interacting molecules are explored by mapping the
topography of respective molecular electrostatic potentials (MESP).
A new model, viz., electrostatic potential
for intermolecular complexation (EPIC), which incorporates such MESP
features, has been employed for
studying interactions between DNA base pairs. A wide variety of
pairs of bases involving adenine (A),
guanine (G), and cytosine (C) are chosen as test cases. The
interaction energy within the EPIC model is
expressed as
(1/2){∑V
A,
i
q
B,
i
+
∑V
B,
i
q
A,
i
},
where V
A,
i
is the MESP
value due to A at the ith atom of molecule
B and q
B,
i
is the
MESP-derived charge at this site. The interaction energies and
geometrical parameters
obtained by this model agree remarkably well with the corresponding
literature values obtained by full geometry
optimization at the ab initio level. Being intuitively appealing
and simple in application, the EPIC model
seems to have the potential of being a good predictive tool for
investigating weak intermolecular interactions.
Triplexes involving major groove binding of a third oligomer to
the DNA duplex structure have gathered
much interest in recent years. The study of base trimer
interactions in the gas phase is expected to provide
useful information regarding orientational preferences and inherent
stabilities. A recently developed electrostatic
potential for intermolecular complexation (EPIC) model has been found
to be quite useful for exploring the
structures and energetics in base pairs [Gadre, S. R.; Pundlik, S. S.
J. Phys. Chem.
1996, 101, 3298].
This
model makes use of complementary electrostatic features of the
interacting species that are determined by ab
initio theory. We report here the investigations on various
trimers including TAT, TAG, ATG, CGG, and
TCG using this model. The overall good agreement of the trimer
interaction energies with the corresponding
single-point SCF values made at the model-predicted geometries reveals
the suitability of the EPIC model
for studying DNA base complexes.
We determine the structure, energetics, and emerging magnetic propertiesof Au n clusters using first-principles plane-wave density functional theory. We compare and contrast the findings obtained with and without spin-orbit interaction in the gold clusters of sizes down to 0.5-1 nm. The shapes are chosen to be representative of spherical gold nanoparticles: (a) Au 13 and Au 12 , with cuboctahedral, icosahedral, and decahedral structures, and (b) Au 25 and Au 24 , with truncated octahedral structures. We find that the trends in the binding energies are unaltered with the choice of the exchange correlation (LDA or GGA) or the inclusion of relativistic effects. The cuboctahedral Au 13 is found to have the lowest binding energy compared with others at a given level of theory. Within the scalar relativistic description, these gold clusters exhibit a wide variety of magnetic moments: the stability and magnetic properties can be readily understood in terms of degeneracies of the HOMO and LUMO levels. Further, there is evidence of Jahn-Teller activity in the cases of cuboctahedral Au 12 and Au 13 that leads to structural distortion, inducing magnetism in the 12-atom cluster. Analysis of electronic states with projection on atomic orbitals for the scalar relativistic case shows that the magnetism in these gold clusters has an sp rather than the otherwise believed s character. By employing a fully relativistic description with inclusion of spin-orbit interaction and noncollinear magnetization, the magnetic moment in the icosahedral-shaped clusters is found to reduce substantially and that in the 12-and 13-atom clusters with a cuboctahedral structure becomes vanishingly small. The loss of magnetism in Au 12 and Au 13 appears to originate from the splitting of degenerate HOMO states in these clusters and an overlap of the d and sp states, whereas the magnetic moment of around 1 μ B in Au 25 is mainly caused by the s states of the central atom.
The conventional electrostatic charge models (PD-AC) are constructed so as to reproduce the molecular electrostatic potential (MESP) on and beyond the van der Waals' (vdW) surface. The MESP distribution has recently IS R Gadre, S A Kulkarni and I H Shrivastava (1992) J. Chem. Phys. 96 5253] been shown to exhibit rich topographical features. With this in view, a detailed topographical comparison of the MESP derived from the charge models, with the respective ab initio (MO) ones is taken up for water, hydrogen sulphide, methane and benzene molecules as test cases. It is shown that the point charge models have a fundamental lacuna, viz. they fail to mimic the essential topographical features of MESP. A new model incorporating a small number of floating spherical Gaussians is shown to restore all the critical features of the molecules under study. A comparative study of the standard deviations of MESP derived from charge models on scaled vdW surfaces further reveals that the present model leads to a better representation of ab initio MESP.
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