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was dissolved in CDCl3 that contained 1,1,2,2-tetrachloroethane as
an internal standard. The chemical yield was determined by using
1H NMR spectroscopy.
the reported method.[17] The PINC, DODE, and TEG moieties were
connected by deleting extra hydrogen atoms, and the charges
were also transferred with charge adjustment of the connecting
atoms[17] to obtain pincer complex 1.
Data for 3-phenylcyclohexanone (4) [CAS: 20795-53-3]
MD calculation of the bilayer structure of complex 1
1H NMR (500 MHz, CDCl3): d=7.31–7.34 (m, 2H, PhH), 7.21–7.25 (m,
3H, PhH), 2.98–3.04 (m, 1H, CH-Ph), 2.57–2.62 (m, 1H, CH2), 2.50–
2.55 (m, 1H, CH2), 2.43–2.48 (m, 1H, CH2), 2.34–2.41 (m, 1H, CH2),
2.12–2.17 (m, 1H, CH2), 2.06–2.10 (m, 1H, CH2), 1.73–1.89 ppm (m,
2H, CH2); 13C NMR (125 MHz, CDCl3): d=210.9 (C=O), 144.3 (Ph-C
attached to cyclohexanone), 128.6 (PhC), 126.6 (PhC), 126.5 (PhC),
48.9 (CH attached to Ph), 44.7 (CH2), 41.1 (CH2), 32.7 (CH2),
25.5 ppm (CH2); MS: m/z: 174 [M]+.
An MD calculation for the self-assembled amphiphilic NCN-pincer
palladium complex bilayer membrane was performed to investi-
gate its detailed structure. The system investigated herein is sum-
marized in Table 1. In the bilayer membrane of the palladium NCN-
Table 1. Details of the system investigated in the present calculations.
T [K]
P [atm]
298.15
1.0
Computational methods
No. of complex molecules
No. of water molecules
Total number of atoms
128
15532
67972
Parameterizations for pincer complex 1
The all-atomistic CHARMM general force field (CGenFF)[12] was used
for pincer complex 1. Complex 1 was formed by connecting the
pincer unit (PINC), dodecane (DODE), and triethylene glycol (TEG)
residues (Figure 3). For the DODE and TEG residues, we used the
pincer complex, the number of complex molecules per leaflet was
64 and the number of water molecules was 15532.[19] The Len-
nard–Jones interaction was cut off at 1.2 nm by applying a switch-
ing function from 0.8 to 1.2 nm. The electrostatic interaction was
calculated by using the particle mesh Ewald (PME) method.[20] The
temperature (T) and the hydrostatic pressure (P) were held at
298.15 K and 1 atm, respectively, by using a combination of the
NosØ–Hoover chain and Parrinello–Rahman methods.[21] The equa-
tions of motion were numerically solved by using integrators
based on the RESPA[22,23] with a single time step of 2 fs. The
lengths of all chemical bonds relative to hydrogen atoms and of
the chemical and dummy bonds around the Pd atoms described
above were constrained by using the SHAKE/RATTLE/ROLL
method.[23] An MD calculation 130 ns long was performed by using
the PME version of our originally developed software MODYLAS.[24]
Convergence to the equilibrium state may be monitored by using
the membrane area per molecule. As shown in the Supporting In-
formation (Figure S2), it converged well within 60 ns. Trajectories
for the last 70 ns run have been used for detailed analyses.
Figure 3. The molecular structure of complex 1. Right: A model drawn by
using VMD[18] (C: cyan, H: white, O: red, N: blue, Cl: yellow, Pd: pink).
CGenEF parameters for hexane (HEXA) and poly(ethylene glycol)
monomer (PEGM) residues, respectively, as presented in the stan-
dard top_all36_cgenff.rtf and par_all36_cgenff.prm files. The pa-
rameters for the PINC residue were determined by noting that this
residue is constructed from the pincer backbone of complex 1 and
a benzene (BENZ) residue. The rigid TIP3P[13] model was used for
water molecules. The initial structure of the pincer backbone of
1 was constructed on the basis of the crystal structure of an NCN-
pincer complex.[14] The atom types of the PINC residue were trans-
ferred from BENZ, SCH2, and CLET residues in the CGenFF parame-
ters without palladium. The atom type of Pd was determined ac-
cording to the reported method.[15] The bond lengths, bond
angles, and dihedral angles of the PINC residue were determined
on the basis of these atom types and the optimized geometry. The
lengths of the chemical bonds (CÀPd, PdÀN1, PdÀN2, PdÀCl) and
the dummy bonds (CÀN1, N1ÀCl, ClÀN2, N2ÀC) were fixed by
using the SHAKE/RATTLE algorithm.[16] Consequently, Pd atoms
were fixed on the rigid rhomboidal plane formed by the C-N1-Cl-
N2 atoms.
Results and Discussion
Comparison of the experimental and simulated WAXS
spectra of 1vscl
To demonstrate the validity of our simulation result, we first com-
pared the experimental WAXS spectrum of 1vscl with the computed
spectrum of the calculated bilayer assemblage of complex 1. The
GIWAXS experiment for 1vscl gave an amorphous pattern spectrum
(Figure 4, blue line). A simulated WAXS spectrum was calculated by
using a reported method.[9a] The X-ray scattering intensity in the
Born approximation can be written as follows [Eq. (1)]:
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
*
+
2
X
j;m
1
I q /
fj q eiqÁr
ꢀ
ꢀ
ꢀ
ꢀ
j;m
in which rj,m is the position of the jth atom on the mth molecule
and the symbols <···> indicate an ensemble average. The overbar
indicates an average over all possible relative orientations of the
wave vector q with respect to the simulation cell, to take into ac-
count the fact that the experimental samples consist of vesicles,
This planar structure is consistent with the structure of palladium
NCN-pincer complexes in the solid state.[14] The charges on the
PINC residue were transferred from the pincer backbone and
BENZ, with charge adjustment of the linking atoms according to
Chem. Eur. J. 2017, 23, 1291 –1298
1293
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