Alonso et al.
JOCArticle
crystals of either 2, or 3, or 4 were obtained at room temperature
by slow diffusion of methanolic solutions of the corresponding
derivative. Data collection for X-ray analysis was obtained with
use of an area detector single-crystal diffractometer with gra-
phite monochromated Mo KR radiation (λ = 0.71073 A)
operating at 50 kV and 30 mA. Data were collected over a φ
and ω scans hemisphere of the reciprocal space by a combina-
tion of the number of frames of intensity sets. Each frame
covered 0.3ꢀ in ω and the first 50 frames were recollected at
the end of data collection to monitor crystal decay. Absorption
corrections were applied with the SADABS program.32 The
structures were solved with the SHELXTL-PC software33 by
direct methods and refined by full-matrix least-squares methods
on F2. Treatment of hydrogen atoms was mixed, located in
density maps and included in calculated positions, and refined in
the riding mode. The details of the data collection and structure
refinement are summarized in Table S5 of the Supporting
Information. The structure drawings were prepared with the
programs MERCURY34 and ORTEP-3.35 The absolute con-
figurations at the stereogenic centers were assigned according to
the synthetic schemes that start from amino acids of known
stereochemistry.
31G* level of theory.37-39 Vibrational frequency calculations at
the same level of theory confirmed that all structures were
minima on the potential energy surface. For compounds 2-4,
the starting geometries for the calculations were those obtained
in the X-ray diffraction analysis. In the case of 2, the two
different conformations (2A and 2B) found in the crystallo-
graphic unit cell were considered. On the other hand, the starting
geometry for the quantum-chemical calculation of 1 was ob-
tained from the molecular dynamics (MD) simulations, using
MMFF94 force field40 and model charges as implemented in
Sybyl, version 7.0.41 The MD simulations were performed at
constant temperature (300 K) by coupling the system to a
thermal bath, using the Berendsen algorithm with a coupling
constant of 100 fs. The simulations were carried out in a vacuum
(with a distance-dependent dielectric constant ε = 1) for 10 ns,
using a time step of 1 fs, leaving 20 ps to equilibrate the system.
As the starting conformation, we used analogues of both
molecular solid state structures of compound 2, replacing the
butyl ester by a methyl ester and subsequently minimizing.
Additionally, the inversion barrier energy for the lactam ring
was estimated at the B3LYP/6-31G(d) level of theory for
compound 1 by changing the C7-C8-C9-C12 dihedral angle
by 10ꢀ steps, from 60ꢀ to 120ꢀ.
The structure of compound 2 was determined by single-
crystal X-ray diffraction at 100 and 298 K. At room tempera-
ture, due to the higher conformational flexibility of the aliphatic
chains, the molecular structure presents certain disorder in the
atomic positions of the sec-butyl group as well as in the butyl
ester of both molecules 2A and 2B.
1
The H and 13C magnetic shielding tensors of the B3LYP/
6-31G*-optimized structures were computed with the Gauge-
Independent Atomic Orbital (GIAO) method at the B3LYP/
6-311þG(2d,p) level.20 To compare isotropic shieldings with the
experimentally observed chemical shifts, the NMR parameters
for TMS were calculated at the same level and used as the
reference molecule. For compound 1, the shielding computa-
tions were also performed at the RHF/6-311þG(2d,p) level of
theory, finding a worse correlation with the experimental data
and a larger computational time.
NMR Measurements. Chemical shifts (δ) are reported in parts
per million and the coupling constants are indicated in hertz.
1
The H and 13C NMR spectra data were recorded in 2 mM
DMSO-d6 solutions. H NMR spectra were referenced to the
1
chemical shift of either TMS (δ = 0.00 ppm) or the residual
proton in the deuterated solvent. 13C NMR spectra were
referenced to the chemical shift of the deuterated solvent.
NOESY spectra were acquired by using the standard pulse
sequence.
Computational Details. DFT calculations were performed
with the Gaussian-03 suite of programs.36 Full geometry opti-
mizations of compounds 1-4 were performed at the B3LYP/6-
The HOMA values were calculated for both the solid state
molecular structures and the DFT-optimized geometries, using
eq 2:16,42
n
X
R
2
HOMA ¼ 1 -
ðRopt - RiÞ
ð2Þ
n
i ¼1
where n is the number of atoms taken into the summation,
and R is an empirical constant fixed to give HOMA = 0 for
a model nonaromatic system and HOMA = 1 for a system
with all bonds equal to an optimal value Ropt, assumed to
be realized for a fully aromatic system. Ri is the running bond
length.
Finally, the electron affinity (A), ionization potential (I), as
well as the global reactivity descriptors have been calculated at
the B3LYP/6-311G(d,p) level of theory, since this method has
been demonstrated to be accurate in reproducing experi-
mental A values with an error of less than 0.1 eV.43 The
theoretical basis for the reactivity descriptors has been amply
developed elsewhere.44 I and A are determined from the electro-
nic energies of the systems having N - 1, N, and N þ 1 electrons
at the geometry of the neutral system. Using I and A, the
chemical potential (μ), the chemical hardness (η), and the global
electrophilic index (ω) were calculated according to eqs 3-5,
respectively.
(32) Sheldrick, G. M. SADABS, Program for Absorption Corrections
€
€
Using Bruker CCC Detectors, University of Gottingen, Gottingen, Ger-
many, 1986.
(33) Sheldrick, G. M. SHELXTL-PC, Program for Crystal Structure
€
€
Solution, University of Gottingen, Gottingen, Germany, 1997.
(34) MERCURY, CSD 2.0, New Features for the Visualization and
Investigation of Crystal Structures; Macrae, C. F.; Bruno, I. J.; Chisholm, J.
A.; Edgington, P. R.; McCabe, P.; Pidcock, E.; Rodriguez-Monge, L.;
Taylor, R.; van de Streek, J.; Wood, P. A. J. Appl. Crystallogr. 2008, 41,
(35) ORTEP-3, for Windows; Farrugia, L. J. J. Appl. Crystallogr. 1997,
tep3/.
(36) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin, K. N.;
Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci,
B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada,
M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima,
T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.;
Hratchian, H. P.; Cross, J. B.; Adamo, C.; Jaramillo, J.; Gomperts, R.;
Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.;
Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.;
Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain,
M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.;
Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski,
J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.;
Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.;
Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson, B.; Chen,
W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03, revision B.04;
Gaussian, Inc., Pittsburgh, PA, 2003.
ðI þ AÞ
μ ≈ -
ð3Þ
2
(40) (a) Halgren, T. A. J. Comput. Chem. 1996, 17, 490–641. (b) Halgren,
T. A. J. Comput. Chem. 1999, 20, 720–748.
(41) Sybyl molecular modeling system; Tripos Associated, St. Louis, MO.
(42) Krygowski, T. M. J. Chem. Inf. Comput. Sci. 1993, 33, 70–78.
(43) Baranovski, V. I.; Denisova, A. S.; Kuklo, L. I. THEOCHEM 2006,
759, 111–115.
(37) Becke, A. D. Phys. Rev. A 1988, 38, 3098–3100.
(38) Becke, A. D. J. Chem. Phys. 1993, 98, 1372–1377.
(39) Lee, C. T.; Yang, W. T.; Parr, R. G. Phys. Rev. B 1988, 37, 785–789.
(44) Geerlings, P.; De Proft, F.; Langenaeker, W. Chem. Rev. 2003, 103,
1793–1874.
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