48
F. Jiménez-Cruz et al. / Journal of Molecular Structure 1034 (2013) 43–50
Table 4
2,58
Selected geometric parameters and delocalization parameters Q and
k from the
optimized 1,3-diketone malonates 1–4 at B3LYP/6-31++G(d,p) level of theory.
2
1
2
3
4
2,56
2,54
2,52
2,50
2,48
Total energy
au
À1071.98067 À1276.48785 À1111.3022 À1225.63226
H1Á Á ÁO3a
O1Á Á ÁO3
CaC1
1.547
2.493
1.478
1.385
1.434
1.261
1.327
1.020
105.8
120.2
120.3
151.8
À0.4
1.567
2.504
1.481
1.379
1.443
1.256
1.328
1.017
105.9
120.8
120.2
150.8
À0.3
1.573
2.509
1.476
1.383
1.436
1.259
1.330
1.014
106.0
120.3
120.6
151.1
0.5
1.580
2.513
1.477
1.382
1.438
1.257
1.331
1.012
106.1
120.3
120.7
150.9
0.2
4
C1C2 (d2)
C2C3 (d3)
C3O3 (d4)
C1O1 (d1)
O1H1
4*
3
3*
2*
H1O1C1b
O1C1C2
C1C2C3
O1H1Á Á ÁO3
H1O1C1C2c
O3C3C2C1
O1C1CaCb
C2C1CaCf
Qd
1*
EK
1
0,22
0,24
0,26
0,28
0,30
0,32
À0.3
À0.4
À0.3
À0.3
11.2
12.1
10.7
11.7
À8.0
À0.8
π-delocalization index, λQ
À8.7
À0.9
0.1157
0.3192
0.1358
0.2878
0.1242
0.3059
0.1296
0.2975
Fig. 7. Plot depicting the relation between O1Á Á ÁO3 length (Å) and
p-delocalization
kQ
index kQ of both X-ray and B3LYP (marked with asterisk) calculated geometries for
a
b
c
diketone malonates 1–4.
Length (Å).
Bond angle (°).
Torsion angle (°).
Delocalization parameters (Å).
geometries have the best approach to full EK
p-delocalization in
d
the 2 (NO2) and 4 (naphthyl) diketone malonates. Likewise, the
corresponding dO1Á Á ÁO3 values are lesser than those estimated by
X-ray, however, in general the tendency to EK delocalization is
similar in both X-ray and DFT results. In contrast the determina-
tions in diketone malonates 1 and 3 are similar in both X-ray
and DFT. Bond and torsion angle values are comparable for both so-
lid and gas phase molecular structures.
In these features, the top view projection of the HOMO and
LUMO contribution for the title diketones was outlined (Fig. 8). A
planarity in the aromatic-enolone system is observed in the gas
phase of the calculated molecules as well as in X-ray described
in Fig. 3, in which the CH2CH2CH(COOCH3)2 chain shows the best
conformation of the optimized geometry. The main contribution
to the HOMO is in the aromatic-enolone system and in the first
CH2 chain moiety. Contributions to the frontier MO from the rest
of the chain, CH2CH(COOCH3)2, are not observed. However, in the
naphthyl-substituted diketone malonate 4 the CH2 contribution
is not observable and a very little contribution to HOMO in O1 is
remarkable. In gas phase, HB may be also affected by the additive
effect of the CH2CH2CH(COOCH3)2 chain by their conformational
motions on 1,3-diketone malonates.
(2.388 Å), Q = 0 and kQ = 0.5. H-substituted diketone malonate 1
has more tendency towards the full delocalized diketone, thus
the order of this behavior is H (kQ = 0.3214) > CH3 (kQ = 0.3116) > -
Naphthyl (kQ = 0.2828) > NO2 (kQ = 0.2336). By inspection of Figs. 5
and 6, related molecular structures such as benzoylacetones 7 and
12 are closer to the full
nates 1–4, which have the attached CH2CH2CH(COOCH3)2 chain
and its possible conformational effect on the complete delocal-
ization in the enolone system. In contrast, EK -delocalized dike-
tones 1–4 are far from the behavior of curcuminoid diketones 13
and 14 which are more KE -delocalized. Dibenzoylmethane 6
and substituted compounds 8, 9, 10 [2] have closer behavior to a
complete delocalization but the tendency is to EK -delocalized
p
p delocalization than 1,3-diketone malo-
p
p
p
p
p
tautomer; whereas, the crowded and more substituted dib-
enzoylmethane 10 is closer to the behavior of diketone malonates
1–4 and the electron deficient aromatic 1,3-diketone 15.
In addition, benzoylacetone 7, with kQ = 0.4750 and
d
O1Á Á ÁO3 = 2.502, showed a near p-delocalization in contrast with
the relative benzoylacetone moiety in the diketone malonate 1.
This behavior can be produced by the effect of the aliphatic chain
CH2CH2CH(COOCH3)2 attached to the benzoylacetone moiety and
packing effects in the solid state. The symmetrical acetylacetone
5 can be either KE or EK localized system through of the dynamic
hydrogen motion in OAHÁ Á ÁO which not only involve the O1Á Á ÁO3
coordinate but also changes in skeletal geometry [22]. Besides, ste-
ric O1Á Á ÁO3 stretching can be produced by the chain moiety [23]. In
the case of the NO2-substituted diketone malonate 2, both the elec-
tron withdrawing effect and the additive effect of the CH2CH2-
CH(COOCH3)2 chain in the O1Á Á ÁO3 length and delocalization
parameters is well observable.
4. Conclusions
The molecular structure of four 1,3-diketone malonates 1–4
were studied by analysis of geometric parameters obtained from
single crystal X-ray diffraction experiments at 293 K, displaying
three sections: aromatic ring (4-substituted phenyl or naphthyl
rings), H1O1C1C2C3O3 enol–keto system and a linear chain with
dimethyl malonate. In the malonate moiety which is involved in
C6, enolizable fragments are not observed. The two firsts moieties
(aromatic ring and enol–keto system) are almost in a planar con-
formation. These compounds are in the enol–keto (EK) tautomer.
It is noteworthy that the calculated geometric parameters of
1,3-diketone malonates 1–4 at the B3LYP/6-31++G(d,p) level of
theory obtained in the gas phase (Table 4) are slightly different
from those estimated by X-ray. In the case of the dH1Á Á ÁO3 lengths,
X-ray values are greater than the DFT values. By the other hand,
the lengths described in the calculation of Q and kQ delocalization
parameters (d1, d2, d3, d4) are also slightly different and this is re-
flected in the calculated values of Q and kQ (1Ã, 2Ã, 3Ã, 4Ã), see Ta-
ble 4, and in the plot of calculated X-ray (Fig. 7). DFT gas phase
In comparison with a full
p delocalized enolone (kQ = 0.5), dike-
tones 1–4 have a EK
p-delocalization in the OAHÁ Á ÁO moiety be-
cause of the kQ values are between 0.283 and 0.321 Å and
showing values of OÁ Á ÁO length between 2.488 and 2.567 Å, which
describe a resonance assisted hydrogen bonding (RAHB) and may
be influenced by the additive effect of the CH2CH2CH(COOCH3)2
chain. The main contribution to the HOMO is in the aromatic-eno-
lone system and in the first CH2 chain moiety. However, in the
naphthyl-substituted diketone malonate 4 the CH2 contribution