tons of the side unit appeared
at 9.08 and 9.25 ppm. The rota-
tional rate of the side rotor in 1
was sufficiently slow to be de-
1
tected on the H NMR spectro-
scopic time scale. Upon increas-
ing the temperature, the signals
of the tert-butyl protons in the
top unit and the b-pyrrole pro-
tons in the side unit gradually
and simultaneously broadened,
eventually
coalescing
into
single peaks at 298 K (see
Figure 2). From the similar ten-
dencies in the coalescence
properties of the top and side
rotors in 1, we deduced their
mutual meshing. To examine
the rotary motion in detail, we
calculated the rotational rates
of the top and side rotors by
Scheme 1. a) Design scheme of a bevel-gear-shaped rotor comprising two rotors (top and side). These rotors
are aligned almost orthogonally and connected through a core (see Figure S9 in the Supporting Information),
b) Each porphyrin ligand in the metal bis(porphyrinate)-based rotor (DD) undergoes a stepping rotation of
908 because of the phenyl groups in the meso positions.
means of
a nonlinear least-
squares method[15] at each tem-
perature. The simulated spectra
of the signals of the tert-butyl
protons of the top unit and the
b-pyrrole protons of the side
and side) produce a stepping rotation of the side rotor
meshing mutually with the top rotor. Thereby, we expect to
transmit the rotational frequency of the top rotor to the side
rotor and turn down the rotational frequency of the side
rotor. The top and side rotors are unsymmetrical because of
the presence of the side and top porphyrin units, respective-
ly; this situation allows the rotational behaviour of each
unit were coincident with those observed experimentally
(see Figure S7 in the Supporting information); the calculat-
ed rotation rates of the 1808 steps are shown in Figure 2.
From plots of logk (rate constants of rotation: ktop and kside
)
versus TÀ1 (Arrhenius plot; correlation coefficient (R):
>0.99), we calculated the activation energies (Ea) for the ro-
tations of the top and side rotors to be 30.1 and
30.7 kJmolÀ1, respectively (see Figure S8 in the Supporting
Information). Moreover, we calculated the following ther-
modynamic parameters for the rotors at 273 K: DGꢀ =
60.5 kJmolÀ1, DHꢀ =27.8 kJmolÀ1, DSꢀ =À120 JKÀ1 molÀ1
for the top rotor; DGꢀ =57.4 kJmolÀ1, DHꢀ =28.4 kJmolÀ1,
DSꢀ =À106 JKÀ1 molÀ1 for the side rotor (a summary of the
thermodynamic and kinetic parameters of the top and side
rotors in 1 is given in Table 1). These similar activation ener-
gies and thermodynamic parameters indicate that the rotary
motions of the side unit were slowed through mutual me-
chanical interactions; in other words, meshing occurred
among the protruding substituents. Although the rates of ro-
tation of the side rotor decreased accordingly, they remained
almost four times larger than those of the top rotor. We
have deduced that the two rotors are meshed in such a
manner that the protruding tooth of the side unit slipped
through two adjoining teeth of the top unit (see Figure S9 in
the Supporting Information).
1
rotor to be evaluated by using H NMR spectroscopy (Fig-
ure 1b).
III
À
Firstly, we confirmed that a pyridine Rh coordination
bond in 1 can be regarded as its rotation axis from the fact
that in the temperature range 193–353 K complexation–un-
complexation dynamics between the pyridine and the por-
phyrinato RhIII in [D2]dichloromethane (193–298 K) and
[D4]tetrachloroethane (353 K) was not observed from VT
1H NMR spectroscopy.[14]
Given the molecular structure of 1, the tert-butyl protons
of the top unit or the b-pyrrole protons of the side unit ex-
change from area (i) to area (ii) upon a 1808 rotation of the
top or side units, respectively (Figure 1b). When the ex-
1
change rate is comparable with the time scale of H NMR
spectroscopy at a certain temperature, the rotary motions of
the top and side units can be monitored readily by using the
coalescence properties of the signals of each pertinent set of
protons, that is, the tert-butyl and b-pyrrole protons, respec-
tively. We evaluated the rotary motions of the top and side
An intrinsic feature of LaDD is that its rotational activity
can be altered. In LaDD, seven of the eight pyrrole nitrogen
atoms in the two porphyrin units are coordinated to the
LaIII atom and one nitrogen atom remains uncoordinated.[16]
Addition of base to LaDD induces dissociation of the unco-
1
rotors in 1 through VT H NMR spectroscopy over the tem-
perature range 253–298 K. At 253 K, in addition to two
sharp singlets at 1.44 and 1.53 ppm, which could be assigned
to the tert-butyl protons of the top unit, the b-pyrrole pro-
8286
ꢀ 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 2010, 16, 8285 – 8290