288
M.A. Gordillo et al. / Journal of Molecular Structure 1119 (2016) 286e295
Table 1
APEX-II CCD diffractometer with MoK
a
radiation (
l
¼ 0.71073 Å)
NMR chemical shifts (13C and 1H): theoretical-experimental comparison.
13C NMR chemical shifts
monochromated by graphite at 298 K. Data integration, cell and cell
parameters determination was carried out using Bruker SAINT [6].
The structure was solved using the software SHELXS-2013, and
then refined using SHELXL-2013, included in WinGX [7] and Olex2-
1.2 [8]. CCDC 1424366 contains the supplementary crystallographic
data for this paper.
Experimental (ppm)
DFT: B3LYP/6-311G (d, p)
RHF/6-311G (d, p)
149.39
124.66
136.96
120.09
152.97
149.13
161.77
138.81
123.70
129.27
149.60
129.27
155.43
126.00
138.90
128.28
157.34
143.39
161.17
144.61
135.85
128.14
155.67
126.92
149.08
112.92
131.93
113.02
144.52
129.67
149.31
134.38
123.80
119.27
138.87
117.80
2.4. Computational details
The theoretical studies were performed employing GaussView
5.0 [9] as graphic interface and Gaussian 09 [10] for computing.
Determination of minimum energy geometry at ground state was
carried out at two levels of theory: Density Functional Theory
(RB3LYP method) and Restricted HatreeeFock testing accuracy of
three basis set: 6-31Gþ, 6-311Gþ and 6-311G (d, p). Cartesian co-
ordinates for optimized structures are provided in supplementary
materials (see Tables S1eS12). As expected, the best theoret-
icaleexperimental correlation was achieved with the DFT: B3LYP
method [11], for this reason DFT: B3LYP/6-311G (d, p) is used
henceforth for frequency calculations where the absence of imag-
inary frequencies confirmed that the minimum energy structure
was achieved [12]. NMR 13C and 1H chemical shift using TMS DFT:
B3LYP/6-311Gþ (d, p) internal Gaussian's 09 reference, additionally,
DFT results was contrasted with RHF/6-311G (d, p) calculations. All
chemical shifts were calculated using gauge-including atomic or-
bitals (GIAO) method without any solvent or solvation effect
considerations.
Linear regression parameters
Intercept
Slope
R2
16.379
0.9032
0.8764
5.7139
0.8978
0.8527
1H-NMR chemical shifts
Experimental (ppm)
DFT: B3LYP/6-311G (d, p)
RHF/6-311G (d, p)
8.64
7.45
7.91
8.01
8.50
12.31
8.17
8.39
8.17
8.39
9.00
7.09
7.66
7.12
7.70
8.20
8.36
8.46
7.52
8.37
8.58
6.80
7.53
6.70
7.14
6.64
8.07
8.40
7.23
8.31
Linear regression parametersa
Intercept
Slope
R2
3. Results and discussion
5.4683
1.6481
0.7377
5.9871
1.6816
0.6814
3.1. Nuclear magnetic resonance studies and computational
chemical shifts calculations
a
Regression data set excluding signals 8 and 9.
Firstly, the molecular structure determination was carried out
by NMR (1H and 13C), the assignments presented in Figs. 1 and 2 are
supported both by literature information about typical chemical
shift as well as experiments of homo and heteronuclear correlation
NMR spectroscopy (COSY, HMBC and HSQC). Theoretical chemical
shift for 13C and 1H was performed at two theory levels (DFT: B3LYP
and RHF) using 6-311G (d, p) basis set with internal Gaussian's
reference TMS DFT: B3LYP/6-311Gþ (d, p) using gauge-including
atomic orbitals (GIAO) method.
Table 2
Crystal data and structure refinement parameters.
Identification code
A-1
Empirical formula
Formula weight
Temperature/K
Crystal system
Space group
a/Å
C13H12N4O4
288.27
296 (2)
Triclinic
Pꢁ1
13C NMR chemical shifts show an acceptable correlation with
experimental data (see Table 1). DFT: B3LYP/6-311G (d, p)
computed values show a clear tendency to overestimate, where
biggest discrepancy comes from signal C-11: experimental spec-
trum presents two equivalent carbons (strong signal at
123.70 ppm) while theoretical spectrum shows two different sig-
nals (126.92 ppm and 135.85 ppm, 2.95 and 9.82% error, respec-
tively). On the other hand, RHF/6-311G (d, p) computed values are
totally underestimated and show significantly lower accuracy.
The biggest difference between experimental and calculated
data was presented in C-7 signal, 149.13 ppm experimental value
respect to 129.67 ppm computed value (13.05 absolute percent
error), even the second greatest deviation in C-5 signal is near to
the biggest deviation in DFT: B3LYP/6-311G (d, p) calculations
(experimental 124.66 ppm respect to 112.92 ppm computed value,
9.42 absolute percent error).
7.3756 (3)
13.1398 (5)
14.7835 (6)
109.128 (2)
90.531 (2)
101.107 (2)
1324.21 (9)
4
b/Å
c/Å
ꢀ
ꢀ
ꢀ
/
a
b
g
/
/
Volume/Å3
Z
rcalc mg/mm3
m/mmꢁ1
F (000)
1.446
0.110
600
Crystal size/mm3
0.242 ꢂ 0.175 ꢂ 0.112
2q range for data collection
1.462e26.494ꢀ.
Index ranges
Reflections collected
ꢁ9 ꢃ h ꢃ 9, ꢁ16 ꢃ k ꢃ 16, ꢁ17 ꢃ l ꢃ 18
16449
Independent reflections
Data/restraints/parameters
Goodness-of-fit on F2
Final R indices [I > 2sigma(I)]
R indices (all data)
5290 [R (int) ¼ 0.0195]
5290/0/403
1.024
R1 ¼ 0.0465, wR2 ¼ 0.1191
R1 ¼ 0.0724, wR2 ¼ 0.1377
0.213/ꢁ0.204 e Åꢁ3
Largest diff. Peak/hole/e Åꢁ3
Furthermore, prediction capacity of these theory level and basis
set combination for 1H NMR chemical shifts was unacceptable. The
main source of error is signal 8 (see Fig. 2), NeH proton appears at
12.31 ppm in experimental 1H NMR spectrum but at 8.20 ppm
(DFT: B3LYP/6-311G (d, p), 33.41% error) and 6.64 ppm (RHF/6-311G
(d, p), 46.06% error) in computed spectra. This sharp discrepancy
may not be entirely related to the accuracy of the computational
method used, since the variability of this particular signal in 1H