Symmetric molecular motors based on two overcrowded alkenes with a notable absence of a stereogenic center show potential to function as novel mechanical systems in the development of more advanced nanomachines offering controlled motion over surfaces. Elucidation of the key parameters and limitations of these third-generation motors is essential for the design of optimized molecular machines based on light-driven rotary motion. Herein we demonstrate the thermal and photochemical rotational behavior of a series of third-generation light-driven molecular motors. The steric hindrance of the core unit exerted upon the rotors proved pivotal in controlling the speed of rotation, where a smaller size results in lower barriers. The presence of a pseudo-asymmetric carbon center provides the motor with unidirectionality. Tuning of the steric effects of the substituents at the bridgehead allows for the precise control of the direction of disrotary motion, illustrated by the design of two motors which show opposite rotation with respect to a methyl substituent. A third-generation molecular motor with the potential to be the fastest based on overcrowded alkenes to date was used to visualize the equal rate of rotation of both its rotor units. The autonomous rotational behavior perfectly followed the predicted model, setting the stage for more advanced motors for functional dynamic systems.
Symmetric molecular motors based on two overcrowded alkenes with a notable absence of a stereogenic center show potential to function as novel mechanical systems in the development of more advanced nanomachines offering controlled motion over surfaces. Elucidation of the key parameters and limitations of these third-generation motors is essential for the design of optimized molecular machines based on light-driven rotary motion. Herein we demonstrate the thermal and photochemical rotational behavior of a series of third-generation light-driven molecular motors. The steric hindrance of the core unit exerted upon the rotors proved pivotal in controlling the speed of rotation, where a smaller size results in lower barriers. The presence of a pseudo-asymmetric carbon center provides the motor with unidirectionality. Tuning of the steric effects of the substituents at the bridgehead allows for the precise control of the direction of disrotary motion, illustrated by the design of two motors which show opposite rotation with respect to a methyl substituent. A third-generation molecular motor with the potential to be the fastest based on overcrowded alkenes to date was used to visualize the equal rate of rotation of both its rotor units. The autonomous rotational behavior perfectly followed the predicted model, setting the stage for more advanced motors for functional dynamic systems.
Molecular motors and
machines attract major attention, as the introduction
of dynamic properties enables a wide range of responsive functions
and adaptive properties in synthetic materials.[1−6] Toward the design of dynamic functional systems, the use of light
as an external stimulus offers particular advantages. Photochromic
systems arguably have the benefit of non-invasive triggering with
the potential of high spatial-temporal precision.[7,8] Switching
between two or more states upon irradiation at different wavelengths
(UV/vis) can be combined with other effectuators (temperature, pH,
metal-ion binding, redox) to arrive at multiresponsive behavior.[9−13] Prominent classes of photochemical switches include dithienylethenes,[14] stilbenes,[15,16] fulgides and
fulgimides,[17] spiropyran,[18] DASA,[19] or azobenzenes.[20,21] Stilbenes in particular, though rather easy to prepare, suffer from
the undesired thermal cis–trans isomerizing and degradation due to ring closing and oxidation toward
phenanthrene (Figure a).[15,16] One of the major interests in our group
has been the synthetic manipulation of stilbenes in order to achieve
stability and increase quantum yield, control over irradiation wavelengths,
and directionality of motion upon isomerization, and furthermore structural
modifications to prevent decomposition.[22]
Figure 1
(a)
Stilbene cis–trans isomerization
and degradation due to ring closing and oxidation.
(b) From left to right: stable switch, first-generation molecular
motor, and second-generation molecular motor.
(a)
Stilbene cis–trans isomerization
and degradation due to ring closing and oxidation.
(b) From left to right: stable switch, first-generation molecular
motor, and second-generation molecular motor.An important synthetic adjustment of a stilbene-like system
(Figure b) was achieved
by
Feringa and Wynberg, introducing steric overcrowding at the alkene
to form thermally stable chiral forms. This was accomplished through
the presence of naphthalene moieties and aliphatic rings at both sides
of the central alkene to prevent ring closing.[23] The introduction of stereogenic centers in these systems
(Figure b) originally
served the purpose of proving the absolute stereochemistry of its
analogues.[24] However, the molecules were
found to have a surprising new property: they are able to undergo
a 360° unidirectional rotation around the alkene bond.[25] These systems, as a result of successive alterations,
became the basis of the first-generation synthetic molecular motors,
characterized by their C2 symmetry and
its principal axis at the double bond connecting upper and lower halves.
Recently, functional analogues of these first-generation synthetic
motors showed potential in asymmetric catalysis[26] and control of dynamic chirality[27] and as chiral hosts.[28]In subsequent
studies, one half of these new dynamic molecules
was symmetrized in order to increase their speed and quantum yield
as well as allowing surface assembly.[29−31] Synthetic modifications
were introduced to illustrate that these motors can perform work.[32] The desymmetrized synthetic unidirectional motors
with only one stereogenic center in the upper half and a symmetric
lower half were adopted as second-generation molecular motors, in
which chirality was shown essential to ensure unidirectionality. The
initial “stilbene motive” is continually shown in orange
in all four structures in order to illustrate the predominant concept
of the isomerizing alkene connecting two aromatic groups, Figure b. Not surprisingly,
the question regarding the necessity of a stereogenic center for unidirectionality
in rotary motion emerged. Recently, we reported a novel synthetic
meso motor bearing two overcrowded alkenes and the notable absence
of a stereogenic center, although a pseudo-asymmetric center is present.[33] In fact, each individual alkene still has to
experience chirality in order to perform a unidirectional rotation.
This so-called third-generation molecular motor (Figure ) has two such alkene moieties
with identical groups that can be considered mirror images of two
separate second-generation motors. This third-generation motor is
specially designed to maintain unidirectionality of two parallel rotors
while avoiding the stereogenic element (asymmetric carbon center)
known from earlier generations of motors. Both individual alkenes
experience the pseudo-asymmetry of the bridge unit (e.g., CFCH3 in 2), and, due to the opposite helicity of
these alkenes with respect to the bridge unit, both fluorene moieties
are rotating in the same direction with respect to the core aromatic
group. This symmetry property is analogous to a car driver moving
forward on a road observing his right wheel turning anti-clockwise
and his left wheel turning clockwise.
Figure 2
Schematic design of achiral motors. Merging
of two enantiomers
of motor 1 (opposite helicities (P,M) and central chirality (R,S) indicated) gives rise to symmetric double overcrowded alkenes 2–4 (pseudo-asymmetric carbon atom C-2
indicated with “2”).
Schematic design of achiral motors. Merging
of two enantiomers
of motor 1 (opposite helicities (P,M) and central chirality (R,S) indicated) gives rise to symmetric double overcrowded alkenes 2–4 (pseudo-asymmetric carbon atom C-2
indicated with “2”).Here, we report on our investigation and characterization
of the
essential features of third-generation molecular motors and the limits
of their performance, to finally come to demonstrate the unidirectionality
of the fastest third-generation motor and potentially the fastest
of all molecular rotary motors based on overcrowded alkenes designed
so far. We first identify the impact of the core’s size on
its behavior by a computational study followed by an experimental
verification. Based on those results, we study the effect of the size
of the substituents at the pseudo-asymmetric carbon atom (the indane
bridgehead C-2, Figure ) on the behavior of the bis-overcrowded alkenes using theoretical
and experimental approaches.[34−38] After identifying the most desirable structural features, we choose
a suitable candidate as a model compound for proving the persistence
of unidirectionality in ultrafast third-generation molecular motors.
Results
and Discussion
Previously, unidirectional rotation has been
established for motor 2 taking advantage of its desymmetrized
analogue 3.[33] For purposes
of developing more advanced
nanomachines and controlled motion along surfaces, the ability to
tune the rotary speed is considered highly beneficial.[32,39] We therefore instigated a theoretical study on double overcrowded
alkenes with a substitution pattern of two methyl groups on C-2 (R1 = CH3) such as 4 for maximum simplicity.
Besides 4, four more structural units were selected starting
with a benzene instead of xylene moiety in the core (5), a p-difluorobenzene (6), a p-dimethoxybenzene (7), and one where the core
xylene moiety is replaced with a phenanthrene moiety (8) (Chart ).
Chart 1
Double
Overcrowded Alkenes with Modified Core Moieties Featuring
Benzene (5), p-Difluorobenzene (6), p-Dimethoxybenzene (7),
and Phenanthrene (8)
Theoretical Study of the Core-Size Effect
The theoretical
investigation was performed using the semiempirical PM6 model to construct
a potential energy surface (PES) from two dihedrals governing the
aromatic planes for compounds 4–8 (4 as example; Figure a). The resulting PES shows a two-fold symmetry with
mirror planes running diagonally through the minima. The geometries
of the minima and transition states (TSs) were optimized using DFT
B3LYP/6-31G(d,p)[40,41] and intrinsic reaction coordinates
(IRCs, 4 as example; Figure b) were calculated to ensure the TSs connected
the identified minima. Subsequently the geometries of the minima and
TSs were optimized using DFT ωB97X-D/6-31+G(d,p)[42] in dichloromethane (IEFPCM)[43,44] which revealed for each compound two global minima and two metastable
local minima (minima and TSs afforded zero or one imaginary frequency,
respectively, and their geometries, energies and calculated barriers
are shown in Table ). The two redundant global minima have the desired meso geometries
and are close to or have C symmetry. The two metastable local minima were enantiomeric
helical configurations and are close to or have C2 symmetry and connected to the global minima by the calculated
TSs which constitute the thermal helix inversions (THIs) known for
overcrowded alkenes.
Figure 3
(a) PES of 4 (PM6, colored from 0 kJ·mol–1 (red) to 150 kJ·mol–1 (violet), x-axis: 1–2–3–4 dihedral (in °); y-axis: 5–6–7–8 dihedral (in °)),
(b) IRCs of TS-4.
Table 1
Optimized Geometries of Minima and
Transition States and Their Corresponding Gibbs Free Energies of 4–8, in kJ·mol–1 (DFT ωB97X-D/6-31+G(d,p)
in DCM)a
5
6
7
4
8
global minimum (Cs)b
0.0 (0.4)
0.0 (0.0)
0.0 (0.7)
0.0 (1.6)
0.0 (0.0)
helical minimum P/M (C2)b
41.3 (43.9)
45.4 (50.5)
46.1 (52.2)
49.4 (56.3)
29.5 (29.5)
transition state
66.9
96.0
107
123
132
THI C2→CsT at t1/2 = 1 h (°C)
–216
–121
–82.8
–46.6
45.5
2×THI Cs→CsTcoalescence (10 Hz) (°C)c
44.0
182
234
310
353
Geometries
shown with methyl groups
facing the reader, the H3C–C–CH3 bonds in the y–z plane,
and the five-membered ring core in the x–z plane.
Energies
in parentheses are for
the symmetrical geometries.
Using k = πΔv0×2–0.5 to provide the
rate at Tcoalescence. k can be used in combination with the calculated barriers to solve
the Eyring equation for T.
(a) PES of 4 (PM6, colored from 0 kJ·mol–1 (red) to 150 kJ·mol–1 (violet), x-axis: 1–2–3–4 dihedral (in °); y-axis: 5–6–7–8 dihedral (in °)),
(b) IRCs of TS-4.Geometries
shown with methyl groups
facing the reader, the H3C–C–CH3 bonds in the y–z plane,
and the five-membered ring core in the x–z plane.Energies
in parentheses are for
the symmetrical geometries.Using k = πΔv0×2–0.5 to provide the
rate at Tcoalescence. k can be used in combination with the calculated barriers to solve
the Eyring equation for T.The redundant global minima possess C symmetry for 6 and 8 or
deviate marginally from it by twisting the rotors in 4, 5, and 7, although not detectible by
NMR due to the minute barrier of isomerization (C symmetric geometries are 0–1.6
kJ·mol–1 higher in energy, Table ). A similar phenomenon is observed
for the two metastable local minima in 4–7 which deviate slightly from C2 symmetry by twisting one of the methyl groups on C-2 lowering the
energy by 3–7 kJ·mol–1. Again, this
deviation from symmetry would not be observed by NMR since at room
temperature the isomerization is very fast in which the averaged geometry
is a C2 symmetrical conformation. The
isomerization pathway between the helical minimum and the global minimum
(from now on referred to as C2-x and C-x, respectively) showed increasing thermal barriers for helix inversion
going from 5 < 6 < 7 < 4 < 8 which corresponds fully with the increase
in size of the aromatic core moiety (Table ). The temperature at which the half-life
is 1 h (T at t1/2 = 1
h for THI C2→C) is a good indication of which compound
would be most suitable for an NMR study. This suggests that 5–7 require very low temperatures for
NMR measurements, whereas both 8 and 4 are
in a temperature region where measurements can be readily performed.
The two redundant meso configurations (C-x and C-x′) can interconvert through C2-x by two helix inversions (2×THI,
shown for 4 in Figure a). The barrier for this isomerization can be quantified
from the approximate theoretical coalescence temperature of 1H NMR resonances (CH3 group resonances are calculated
to be separated by ∼10 Hz, vide infra). From
the calculated coalescence temperatures (Table ), compound 5 appears to be
the only suitable candidate for NMR investigation. To investigate
the THI and 2×THI processes, compounds 4 and 5 as well as 9 were synthesized (Scheme ). Derivative 9 was expected to have increased solubility compared with 5 and might provide insight into substituent effects for future functionalization.
Scheme 1
Synthesis of Compounds 4, 5, and 9
Reagents and conditions: (i)
AICI3, CS2, rt, 24 h; (ii) P4S10, toluene, reflux, 18 h; (iii) 1. 9-diazo-9H-fluorene, toluene, 55 °C, 48 h, 2. HMPT, 120 °C, 24 h;
yields Cs-4 (14% over 3 steps). R = Me: (iv)
K2CO3, Rl, CH3CN, 40 °C, overnight;
(v) P4S10, toluene, reflux, 18 h; (vi) 9-diazo-9H-fluorene, toluene, reflux, overnight; yields Cs-5 (50% over 3 steps). R = Hex: (iv) K2CO3, Rl, Aliquat 336, CH3CN, 80 °C, 24 h; (iv)
P4S10, Lawesson’s reagent, toluene, reflux,
26 h; (iv) 9-diazo-9H-fluorene, toluene/tetrahydrofuran,
reflux, 20 h; yields C-9 (1%
over three steps).
Synthesis of Compounds 4, 5, and 9
Reagents and conditions: (i)
AICI3, CS2, rt, 24 h; (ii) P4S10, toluene, reflux, 18 h; (iii) 1. 9-diazo-9H-fluorene, toluene, 55 °C, 48 h, 2. HMPT, 120 °C, 24 h;
yields Cs-4 (14% over 3 steps). R = Me: (iv)
K2CO3, Rl, CH3CN, 40 °C, overnight;
(v) P4S10, toluene, reflux, 18 h; (vi) 9-diazo-9H-fluorene, toluene, reflux, overnight; yields Cs-5 (50% over 3 steps). R = Hex: (iv) K2CO3, Rl, Aliquat 336, CH3CN, 80 °C, 24 h; (iv)
P4S10, Lawesson’s reagent, toluene, reflux,
26 h; (iv) 9-diazo-9H-fluorene, toluene/tetrahydrofuran,
reflux, 20 h; yields C-9 (1%
over three steps).
Experimental Study of Core
Size
The synthesis of the
core structure of overcrowded alkenes 4, 5, and 9 started with a double Friedel–Crafts
acylation of dimethyl malonyl chloride on p-xylene
afforded the bis-ketone in high yield (82%). This was transformed
into the bis-thioketone by the use of phosphorous pentasulfide (97%).
A Barton–Kellogg coupling of the bis-thioketone and diazofluorene
followed by a desulfurization by the use of hexamethylphosphanetriamine
(HMPT) yielded the desired double overcrowded alkene C-4 (17%). For compound 5, after double alkylation of indane-dione with methyl iodide,
an analogous pathway was followed where phosphorous pentasulfide was
used to afford the bis-thioketone. This indanedithione underwent
a Barton–Kellogg coupling with diazofluorene to give the desired
product C-5 in good overall yield (50%). Double overcrowded alkene 9 caused problems in the first step, producing significant amounts
of O-alkylated side-product which resulted in loss
of product during purification, providing the C-alkylated
product in 9% yield. The next two steps proceeded in an analogous
fashion to the synthesis of 5 affording the desired C-9.The
study of the photochemical and thermal isomerizations started with
compound 4, which was irradiated with UV light (365 nm
in CH2Cl2, Figure a), and at room temperature no change was
observed in the UV–vis absorption spectrum. Irradiation at
−65 °C was accompanied by a bathochromic shift in the
absorption-spectrum indicative of an increase in strain over the alkenes
pointing to the formation of a metastable intermediate. After irradiation
to the photostationary state (PSS), the sample was allowed to warm
up to rt and full reversal to the original spectra was observed. Three
cycles of irradiation at low temperature and heating at ambient temperatures
did not reveal any signs of fatigue. During both of these processes
an isosbestic point was observed at the same wavelength (459 nm),
indicating the absence of side reactions during these first order
reactions. 1H NMR confirmed the identity of the stable
global minimum as C-4 by the presence of three distinct methyl resonances, which
is expected of a C symmetrical
configuration of 4 but not of C2 (Figure b,
H9,H10,H11; assignments in Scheme ). Irradiation to
PSS at low temperatures revealed the metastable state possessing a C2 symmetrical configuration, corresponding to C2-4. Following the integrals of
the NMR-resonances of H1 over time at different temperatures
enabled the construction of an Eyring plot (Figure c) which provided the energies of activation
(Δ⧧H° 63.2 ± 1.6
kJ·mol–1, Δ⧧S° = −17.3 ± 7.0 J·K–1·mol–1, Δ⧧G° = 68.3 ± 0.5 kJ·mol–1, t1/2 = 1 h at T =
−59.4 ± 0.3 °C) in reasonable agreement with the
calculated barrier (Δ⧧H°calc = 70.3 kJ·mol–1, Δ⧧S°calc = −10.6 J·K–1·mol–1, Δ⧧G°calc = 73.4 kJ·mol–1).
Figure 4
Thermal behavior of 4. (a) UV–vis absorption
spectrum of C-4 in CH2Cl2 at rt, irradiation (365
nm, 30 min) to PSS at −65 °C and warming to rt (insert:
isosbestic point at 459 nm with absorptions during both processes
added). b) i: 1H NMR spectrum of C-4 (CD2Cl2, 500 MHz, rt), assignment in Scheme . ii: Transferred to a Shigemi tube and irradiated
in NMR to PSS (CD2Cl2, 365 nm, 12 min, 600 MHz,
−58 °C). iii: t = 30 min (CD2Cl2, 600 MHz, −58 °C). iv: t = 8 h (CD2Cl2, 600 MHz, −58 °C,
x = impurity, presumably acetonitrile). c) Exponential decay curves
of the normalized integrals of H1 over time (left and top axis) and Eyring
plot with error bars of 3σ (right and bottom axis).
Thermal behavior of 4. (a) UV–vis absorption
spectrum of C-4 in CH2Cl2 at rt, irradiation (365
nm, 30 min) to PSS at −65 °C and warming to rt (insert:
isosbestic point at 459 nm with absorptions during both processes
added). b) i: 1H NMR spectrum of C-4 (CD2Cl2, 500 MHz, rt), assignment in Scheme . ii: Transferred to a Shigemi tube and irradiated
in NMR to PSS (CD2Cl2, 365 nm, 12 min, 600 MHz,
−58 °C). iii: t = 30 min (CD2Cl2, 600 MHz, −58 °C). iv: t = 8 h (CD2Cl2, 600 MHz, −58 °C,
x = impurity, presumably acetonitrile). c) Exponential decay curves
of the normalized integrals of H1 over time (left and top axis) and Eyring
plot with error bars of 3σ (right and bottom axis).Irradiation of double alkene C-5 in n-pentane at −60
°C did not show any shift in the UV–vis absorption spectrum
(see Supporting Information for the UV–vis
spectrum) which indicates that either C-5 does not undergo a double bond isomerization
or more likely the thermal barrier for reversion of C2-5 to C-5 is too low to observe the metastable species
at that temperature. The barrier for THI at room temperature was calculated
to be 25.6 kJ·mol–1 (vide supra) which would allow for a lifetime of 2 ns at −60 °C
and a temperature of −215 °C would be required to allow
for a lifetime of 1 h. Due to the low barrier for THI, C2-5 is not expected to be observed over the
experimental temperature range. Photocyclization has been a problem
for an overcrowded alkene without functional groups in the fjord region;[45] however, no photocyclization was observed in
the case of compound 5 probably due to insufficient π-orbital
overlap. Moreover, no other photochemistry was observed, such as described
for 1,2-distyrylbenzene derivatives,[46] likely due to the rigid cyclopentane. An NMR study confirms the
identity of the stable global minimum C-5 by the presence of two distinct methyl
resonances, which is expected of a C symmetrical conformation of 5 but not
of C2. This is corroborated by the calculated 1H NMR spectrum of C-5 (DFT giao mPW1PW91/6-311+G(2d,p) in CHCl3) which strongly agrees with the experimental spectrum (Figure ).
Figure 5
Temperature-dependent
experimental and calculated 1H
NMR spectra of C-5 and C-9.
Temperature-dependent
experimental and calculated 1H
NMR spectra of C-5 and C-9.Upon an increase in temperature,
coalescence of the methyl resonances
is observed, indicative of the two-step process in which the Meeq (H11) and Meax (H12) exchange
environment through a double helix inversion. The barrier determined
by NMR (Δ⧧G = 62.5 ±
1.0 kJ·mol–1) is found to be lower than the
computed barrier (Δ⧧G°calc = 66.9 kJ·mol–1, vide supra), probably due to a deviation in the calculated entropy term as
was observed for 4. However, it still suggests that at
these temperatures the redundant isomers C-5 and C-5′ exchange through thermal
processes as shown for 4 in Figure a.To investigate these processes in
greater detail compound 9 (Scheme ) has been synthesized which is expected
to show behavior similar
to 5 but with a significantly increased solubility. Low
temperature UV–vis and NMR displayed a similar absence of change
under irradiation and, similar to C-5, presence of C symmetry for compound 9 was shown by
NMR (Figure ; see Supporting Information for UV–vis and 13C NMR spectra). An interesting pattern was observed for the 1H NMR resonances of the alkyl chains of C-9. The first methylene
on each alkyl displayed a similar significant downfield shift like
the methyl groups of C-5, but here the strongest shift was observed for the
pseudo-axial methylene group (H11) instead of the pseudo-equatorial
methyl in C-5 (H11). Due to their distinct chemical environments, the
two different alkyl chains follow a peculiar pattern with methylene
groups of the equatorial alkyl chain exhibiting large upfield shifts.
A theoretical study of several rotamers of the alkyl chains of C-9 and calculation
of their average 1H NMR spectrum provided a strong agreement
with the experimental spectrum (R2= 0.999, Figure , see Supporting Information for details). Increasing
the temperature caused coalescence of the alkyl groups most apparent
for the resonances of H11–H12 at ∼2.7
ppm. This allowed for the determination of the barrier for thermal
isomerization (Δ⧧G = 59.4
± 1.0 kJ·mol–1) which again is lower than
the computed barrier (Δ⧧G°calc = 65.7 kJ·mol–1, Δ⧧H°calc = 51.7 kJ·mol–1).Conclusive information on the configuration
of 9 came
from X-ray crystallography. Crystals suitable for X-ray diffraction
studies were grown by layered diffusion of a concentrated solution
of 9 in dichloromethane on top of which volumes of, successively,
pentane, heptane, and methanol were layered. The structure determination
shows that there are two independent molecules in the unit cell (Figure ; see Supporting Information for complete unit cell),
which have similar metrical parameters. Both have approximate Cs symmetry (meso configuration) around the core
of the bis-overcrowded alkene 9. The alkyl group in the
equatorial position is in both cases rotated such that the last three
C-atoms of the hexyl chain are located directly above the plane of
the fluorene ring, with Chexyl–fluorene distances
of 3.577–4.073 Å. This conformation of the equatorial
alkyl group agrees with its anomalous upfield shift observed in the 1H NMR spectrum. It is unclear, however, whether this folding in the solid state is due to packing effects or
represents a genuine attractive interaction (see Supporting Information for a computational conformational
study).
Figure 6
Molecular structure of C-9 by crystallography (only one of the two independent
molecules is shown).
Molecular structure of C-9 by crystallography (only one of the two independent
molecules is shown).
Conclusions on the Influence of Core Size
Molecular
motors based on double overcrowded alkenes with a benzene moiety in
the core show the potential to be significantly faster than those
with a substituted benzene group. However, compounds 4–9 with C symmetrical stable meso states do not possess a preference
for either of the two redundant geometries and therefore no preference
for which of the two states undergoes a photochemical E–Z (PEZ) isomerization. The metastable helical
states possess C2 symmetry and therefore
both rotors show an equal probability for undergoing a THI. Due to
the redundancy of the stable states and the C2 symmetry of the metastable state these rotors do not prefer
a specific direction and are therefore not unidirectional. On account
of the symmetry of the stable state it is expected that a PEZ isomerization
of C-9 will
produce a photostationary state (PSS) between C-9 and racemic C2-9 (Figure ). This isomerization yields a rotation of one of the
rotors on C-9 and a rotation of one of the rotors on C-9′, in opposite direction with
respect to C-9. The metastable C2-9 undergoes
a THI of either of the rotors without preference because its C2 symmetry as indicated in Figure , producing equal amounts of C-9 and C-9′. Over
two rotational steps (PEZ–THI) the rotations sum up to a net
rotation of zero due to the lack of unidirectionality. This behavior
is expected for all compounds with equally sized substituents at the
bridgehead position such as 4 and 5. To
achieve unidirectional rotation, a form of asymmetry has to be reintroduced
like in 2 and 3, which is achieved by substituting
two differently sized moieties at the indane bridgehead (carbon 2, Chart ) making it a pseudo-asymmetric
carbon atom.[34−38]
Figure 7
Rotational
behavior of 9 shown (4 and 5 behave in the same way). C-9 = C-9′, produces a racemic mixture
of C2-(M)-9 and C2-(P)-9 upon photochemical E–Z isomerization.
For C2-(M)-9 the C2 axis is indicated by the red
dashed line and red dot on the calculated geometry on which the red
arrows indicate the movement of the rotors for the two redundant thermal
helix inversions.
Rotational
behavior of 9 shown (4 and 5 behave in the same way). C-9 = C-9′, produces a racemic mixture
of C2-(M)-9 and C2-(P)-9 upon photochemical E–Z isomerization.
For C2-(M)-9 the C2 axis is indicated by the red
dashed line and red dot on the calculated geometry on which the red
arrows indicate the movement of the rotors for the two redundant thermal
helix inversions.
Theoretical Study of the
Substituent Effect
Several
substitution patterns on the indane bridgehead were considered and
investigated computationally. Certain sterically interesting substituents
such as tert-butyl (large) and hydrogen and methoxy
(smaller than methyl) were disregarded on account of their synthetic
demand and the expected chemically unstable nature of the resulting
double overcrowded alkene. Note that for instance compound 2 (R1 = H, Figure ), featuring a hydrogen in a double allylic position can readily
undergo 1,3-H-shift removing the pseudo-asymmetric center. After initial
calculations on multiple double overcrowded alkenes (DFT B3LYP/6-31G(d,p),)
five were selected (18–22) and studied
in depth (DFT ωB97X-D/6-31+G(d,p) in DCM, Table ). For an additional side-view perspective
of the meso geometries of 18–22 as
well as the calculated enthalpies, see the Supporting Information.
Table 2
Structures and Optimized
Geometries
of Minima and Transition States and Their Corresponding Gibbs Free
Energies of 18–22 (DFT ωB97X-D/6-31+G(d,p)
in DCM)a
18
19
20
21
22
r (Cs)
0.0 (10.6)
0.0 (0.0)
12.5 (12.5)
6.8 (55.2)
0.0 (0.1)
s (Cs)
11.6 (19.1)
9.0 (9.1)
0.0 (15.5)
0.0 (0.4)
16.2 (17.5)
helical minima P/M (C1)
48.3
42.0
39.0
28.6
37.4
TSrP/M→r
67.4
63.5
66.7
78.9
54.2
TSsP/M→s
74.5
75.6
71.6
78.8
67.4
Structures shown in experimentally
determined most stable isomer with numbers indicating 1H NMR assignments. Geometries shown with substituents facing the
reader, the R–C–R bond in the y–z plane, and the five-membered ring core in the x–z plane. Alkyl chains of the geometries
of 18 and 20 cropped to three carbons for
clarity. Energies in kJ·mol–1; energies in
parentheses for the C geometries.
Structures shown in experimentally
determined most stable isomer with numbers indicating 1H NMR assignments. Geometries shown with substituents facing the
reader, the R–C–R bond in the y–z plane, and the five-membered ring core in the x–z plane. Alkyl chains of the geometries
of 18 and 20 cropped to three carbons for
clarity. Energies in kJ·mol–1; energies in
parentheses for the C geometries.The three
possible combinations of a methyl, an alkyl, and a phenyl
group (compounds 18–20) were selected
because of their interesting potential balance in steric effects.
Both the phenyl and the alkyl moieties have been reported to be slightly
or significantly larger than the methyl group,[35,47,48] though there are instances in which the
methyl group has been reported to exhibit a similar or larger steric
effect.[49−52] The sterically demanding isopropyl group (compound 21) and small fluorine atom (compound 22) were selected
to realize the largest difference in steric effect with respect to
a methyl group. For each compound four minima were calculated, similar
to 4–8 (vide supra), of which two were the enantiomeric helical metastable forms and
two were found to represent the stable meso isomers with either an r or s configuration at the pseudo-asymmetric
carbon atom.[34−38,53] Note that, similar to 4–7 (vide supra, Table ), the calculated minima geometries
for r-18–22 and s-18–22 deviate slightly
from true C symmetry
by small twists of substituents or rotors, as can be clearly observed
for s-18 and r-21. As before, this is not expected to be detectible by NMR
due to the low barrier of isomerization which goes through the true C symmetrical geometry (energies
shown in parentheses in Table ).For motors 2 and 3 it was
shown that
the larger substituent prefers a pseudo-axial orientation, with the
rotor moieties pinching the substituent in the pseudo-equatorial
orientation.[33] The change from a xylene
core as in 4 to a benzene core in 5 increases
the pinching effect of the rotors (Table ), and the preference for the larger substituent
to adopt the pseudo-axial orientation is therefore expected to remain
present. To exemplify, in r-18, r-19, r-21 and r-22 the pseudo-axial orientation is occupied
by the methyl group. The larger substituents in 21 and 22 are the isopropyl group and the methyl group, respectively,
and calculations show a preference for these groups to adopt the pseudo-axial
orientation with s-21 and r-22 being lower in energy than their corresponding diastereomer
(Table ). The calculations
presented in Table also show a preference for r-18, r-19 and s-20 over their corresponding diastereomer, which suggest the following
order for steric effects in these molecules: Me > Ph > alkyl.The barriers for THI of metastable P/M-18–22 are calculated to be very
low (19.1, 27.7, 21.6, 50.2, and 16.7 kJ·mol–1, respectively), which makes a PEZ–THI sequence difficult
to detect by conventional UV–vis or NMR techniques. The barrier
for THI for 21 might be the highest for these overcrowded
alkenes, although it would still require a temperature of −113
°C to obtain a half-life of 1 h. The calculated barrier of metastable P/M-22 to r-22 predicts it to be the fastest molecular motor to
date with an expected half-life of only 109 ps at room temperature.
The barriers for the double inversion of s-18–22 to r-18–22 or vice versa are calculated to be measurable
by coalescence in 1H NMR (62.9, 66.6, 66.7, 72.1, and 51.2
kJ·mol–1) on the condition that both diastereomers
are observed. The NMR spectra of r-18–22 and s-18–22 were calculated (DFT giao mPW1PW91/6-311+G(2d,p) in CHCl3, Figure ,
for enlarged spectra see the Supporting Information) in order to be able to assign the stereoisomer of the double overcrowded
alkenes which were obtained synthetically.
Figure 8
1H NMR spectra
of 18–22. Top: calculated spectrum
of the r-isomer. Middle:
calculated spectrum of the s-isomer. Bottom: experimental
spectrum (CDCl3) with numbering (see Table for the assignments). Bottom right: correlation
of experimental and calculated 1H NMR chemical shifts.
1H NMR spectra
of 18–22. Top: calculated spectrum
of the r-isomer. Middle:
calculated spectrum of the s-isomer. Bottom: experimental
spectrum (CDCl3) with numbering (see Table for the assignments). Bottom right: correlation
of experimental and calculated 1H NMR chemical shifts.
Experimental Study of the
Substituent Effect
The double
overcrowded alkenes 18–22 were all
prepared following a similar route (Scheme ). In the first step a double condensation
of dimethyl phthalate and symmetric ketones with the aid of sodium
hydride affords the monosubstituted indanediones 10–12 in accordance with the reported literature
procedures.[54−56] The second alkylation using alkyl halides on the
indanediones gave rise to significant amounts of O-alkylated side products. This was suppressed by the use of phase
transfer reagents, such as Aliquat 336, as well as the addition of
potassium fluoride immobilized on Celite to the reaction mixture.
The combination of both reagents afforded the highest yield and the
best C:O-alkylated product ratio
of 13–16, which was finally further
improved on using cesium carbonate instead of potassium carbonate.
The fluorinated indanedione 17 was obtained from
methyl-indanedione using Selectfluor. Bi-functionalized indanediones 13–17 were transformed to the corresponding
indanedithiones using phosphorous pentasulfide (or a combination
with Lawesson’s reagent, see experimental section for details)
of which most products appeared to be rather stable, probably due
to a lack of hydrogens at alpha carbons. Nonetheless, the indanedithiones
were directly submitted to double Barton–Kellogg couplings
with diazofluorene to afford the desired double overcrowded alkenes 18–22 (Scheme ).
Scheme 2
Synthesis of Third-Generation Molecular
Motors 18–22
Synthesis of Third-Generation Molecular
Motors 18–22
Reagents
and conditions: (i)
NaH, toluene, 16 h, rt 10: 63%, 11: 31%, 12: 87%; (ii) K2CO3, Aliquat 336, KF
on Celite, acetonitrile, reflux, 16 h, 13: 36%, 14: 83%, 15: 36%, 16: 84%; (iii)
Selectfluor, 96%; (iv) P4S10, Lawesson’s
reagent, toluene, 8–16 h; (v) 9-diazo-9H-fluorene,
toluene, rt–reflux, 2–24 h, 18: 66%, 19: 23%, 20: 24%, 21: 3%, 22: 14% (over iv and v).The 1H NMR spectra of 18–22 were
compared to the calculated spectra and were found to be in
close agreement (Figure ). It revealed 18–20 to be present
in both isomeric forms (r- and s-isomers)[38] while 21 and 22 were only found as a single isomer. At room temperature
compounds 18–20 displayed coalescence
of several resonances, though at low temperature (−30 °C)
the compounds entered the slow exchange region and clearly resolved 1H NMR spectra were obtained. Using several 2D NMR techniques
allowed for a complete proton and carbon assignment of the major isomers
(see Supporting Information for all NMR
spectra). The isomers of compound 18 were found in a
3.0:1.0 ratio of which the minor isomer displayed a similar effect
for the hexyl chain as was observed for the pseudo-equatorially oriented
hexyl chain in 9.[53] This suggests
the minor isomer to be r-18 and therefore s-18 to be the major isomer, which was confirmed
by the comparison of the calculated 1H NMR spectra to the
experimental one. In this comparison, the s isomer
strongly correlates to the major isomer of 18 and the r isomer correlates to the minor isomer. The presence of
coalescence was predicted by calculations, however, the asymmetry
in the isomer ratio makes the use of the coalescence temperature as
a tool to determine the barrier for isomerization of double helix
inversion slightly unreliable. Therefore, we made use of temperature
dependent 1D EXSY NMR to determine the activation parameters for the
exchange process (Figure , Table ,
and Supporting Information for further
details), which revealed a barrier of 62.0 kJ·mol–1 for the isomerization of the major isomer s-18 to the minor isomer r-18.
The isomers of compound 19 were found in a 2.0:1.0 ratio
of which the minor isomer appeared to show five distinct signals for
the phenyl substituent while the major isomer showed three signals
(Figure ). This suggests
that the phenyl in the major isomer is free to rotate making the hydrogens
ortho and meta to the indane bridgehead chemically identical, while
in the minor isomer the orientation of the phenyl is fixed giving
rise to five different resonances. In r-19 the phenyl is in a pseudo-equatorial orientation, placing it in
between the fluorene moieties (see the geometries in Table and the Supporting Information), whereas in s-19 it is oriented pseudo-axially, giving it much more spatial
freedom. This suggests the assignment of the major isomer being s-19 which corresponds fully with the calculated
NMR spectra in which this assignment shows a far stronger correlation
than the opposite combination does. EXSY NMR was again employed to
determine the activation parameters for the double THI exchange process
between the s and r isomers using
the same method as was used for 18 (Table , see Supporting Information for NOESY 1D spectra and traces), revealing a similar
barrier of 63.4 kJ·mol–1 for the isomerization
of the major isomer s-19 to the minor
isomer r-19.
Figure 9
EXSY NMR of 18. (a) NOESY 1D 1H NMR spectrum
of 18 (600 MHz, CDCl3, −3.3 °C,
2 s mixing time). (b) Normalized integral of r-18 at various mixing times and temperatures.
Table 3
Gibbs Free Energies of 18–20 for r–s Isomerization by EXSY NMRa
18
19
20
r→s Δ⧧G°/kJ·mol–1
60.1 ± 0.3
62.3 ± 0.3
63.1 ± 1.1
s→r Δ⧧G°/kJ·mol–1
62.0 ± 0.3
63.4 ± 0.2
67.3 ± 1.1
s–r ΔG°/kJ·mol–1
1.9 ± 0.3
1.0 ± 0.1
4.0 ± 0.2
Standard state: atmospheric pressure
and rt (20 °C).
EXSY NMR of 18. (a) NOESY 1D 1H NMR spectrum
of 18 (600 MHz, CDCl3, −3.3 °C,
2 s mixing time). (b) Normalized integral of r-18 at various mixing times and temperatures.Standard state: atmospheric pressure
and rt (20 °C).The
isomers of compound 20 were found in an 8.9:1.1
ratio and for its aromatic region a nearly identical pattern is observed
as was for 19, while for the aliphatic region a similar
effect is seen in the exchange of a methyl group to an alkyl as was
for 5 and 9 (Figure ). In both 5 and 19, the pseudo-axial methyl group is shifted upfield with respect to
the pseudo-equatorially oriented methyl group, while in both 9 and 20 the first methylene on the pseudo-axial
alkyl group shows a downfield shift with respect to the pseudo-equatorial
position.[53] With again a good correlation
of the calculated spectra to the experimental 1H NMR spectrum,
the major isomer is assigned as s-20 and the minor as r-20. EXSY NMR revealed
a barrier of 67.3 kJ·mol–1 for the double THI
exchange process going from the major isomer s-20 to the minor isomer r-20 (Table ; see Supporting Information for NOESY 1D spectra and
traces).Considering the performance of overcrowded alkenes 18–20 as molecular motors, one should
note that
these systems feature reduced unidirectionality due to the presence
of both isomers. Nonetheless, they still maintain preferential directionality
of their rotary motion. For example, in 20 89% rotates
in one direction (counterclockwise when observed from the left in Table ) while 11% rotates
in the opposite direction resulting in a reduced unidirectional yield
of 78% (determined from the r-20: s-20 ratio at rt, vide supra). This is not an issue in 21 and 22 since
they were obtained as single isomers according to 1H NMR
(Figure ; note that
the two resonances in the aliphatic region of 22 constitute
a doublet due to F-CH3 coupling, belonging to a single
isomer). The size difference predicted s-21 and r-22 to be the most stable isomers
with the larger isopropyl in the pseudo-axial orientation and the
smaller fluorine in the equatorial orientation, respectively. The
calculated spectra were fitted to the experimental spectra which proved
the expected isomers to agree the best to the experimental spectra
(Figure ).[57]To obtain additional information on the
structure and stereochemistry
of the double overcrowded alkenes, crystals suitable for X-ray diffraction
analysis were grown by layered diffusion of concentrated solutions
of 19, 20, and 22 in dichloromethane
on top of which volumes of, successively, pentane, heptane, and methanol
were layered (from 18 and 21 no suitable
crystals were obtained). The structure determination confirmed the
expected meso configuration of the bis-overcrowded alkenes, moreover, 19 and 20 were both only found with an s configuration at the pseudo-asymmetric carbon atom (Figure ). While this clearly
shows a preference for both compounds to crystallize in a single configuration,
it should not be used as independent proof for the assignment of the
major isomer in solution since either isomer could have possessed
a stronger tendency toward crystallization. However, NMR indicates
only a single isomer of 22 to be present, and its X-ray
analysis confirmed the computational prediction and NMR assignment,
by showing 22 to possess an r configuration
on the pseudo-asymmetric carbon atom (Figure ).
Figure 10
Molecular structures of s-19 and s-20 by crystallography.
Figure 11
Molecular structure of r-22 by crystallography.
Molecular structures of s-19 and s-20 by crystallography.Molecular structure of r-22 by crystallography.
Conclusions on the Influence of Substituent Size
The
combined data shows the following order for steric effects of the
substituents at the indane bridgehead in 18–22: i-Pr > Ph > alkyl > Me >
F. However,
just based on the data for 19 and 20 (Table ) one might expect
the methyl group to be larger than the alkyl group (s–r ΔG° being
smaller for 19 than for 20) highlighting
the very subtle interplay of these steric moieties with the rest of
the molecule. It is also clear that this deviates from the calculated
order, which predicted the steric effect of the methyl group to be
larger than those of the phenyl and alkyl groups (vide supra). The calculated barriers for the double THI exchange process of s-18–20 to r-18–20 agree well with the experimental
barriers (ΔΔ⧧G°
= 0.9, 3.2, and 4.3 kJ·mol–1, Tables and 3) while the agreement in the opposite process of r-18–20 to s-18–20 is much weaker (ΔΔ⧧G° = 14.4, 13.3, and 4.0 kJ·mol–1, Tables and 3). To improve the correspondence
between theory and experiment it might be necessary to employ different
functionals, add diffuse functions or increase the basis set. The
combined experimental data also confirms that in the third-generation
molecular motors s-21 and r-22 opposite directions of rotation take place while
both possess a >95% unidirectional yield (since the opposite diastereomer
is not observed in 1H NMR). As expected, no changes are
observed in the NMR resonances at high or low temperature, or after
irradiation at room or low temperature. This is due to the very low
barrier for THI in combination with the symmetry of the rotors. In
order to prove that these fast third-generation molecular motors are
able to undergo rotation of the fluorene units under photo-irradiation,
asymmetry has to be introduced in the rotor units.
Rotation of
an Ultrafast Third-Generation Motor
To
unequivocally demonstrate the unidirectional rotary motion, methoxy
substituents were introduced in the rotor parts of the ultrafast motor
with a benzene moiety as its core. Using methoxy-diazofluorene
and the indanedithione of 17 in a Barton–Kellogg
coupling (as in Scheme ) afforded the desired desymmetrized double overcrowded alkene 23 as a statistical mixture of the four isomers (isomers shown
in Scheme , for synthetic
scheme see Supporting Information). This
mixture was subjected to supercritical fluid chromatography (SFC)
(45% 2-propanol in CO2, Chiralpak ID at 3.5 mL·min–1, 40 °C, 160 bar) which allowed the isolation
of each isomer (Figure , isomers sequentially numbered and corresponding to the configurations
numbered in Scheme ). The four isomers are indistinguishable by UV–vis as can
be seen from their nearly identical UV–vis absorption spectra
(Figure ). However, 19F and 1H NMR allowed for the assignment of the
individual isomers where the enantiomers of 23 (isomers
1 and 3) displayed identical NMR spectra and were assigned based on
their retention time in analogy to 3.[33] Irradiation of an isolated isomer of 23 is
expected to allow it to undergo a PEZ isomerization to be directly
followed by a THI. This produces the two connected isomers according
to Scheme in an approximate
50:50 ratio, which go on to produce both the starting isomer as well
as the final isomer connected to those isomers again in a 50:50 ratio.
Finally, this last isomer is formed but at the same time undergoes
isomerization producing the two intermediate isomers again. The rates
presented in the kinetic scheme (Scheme ) are formulated in rate equations which
were solved using matrix methods,[58] providing
the following integrated rate laws (see Supporting Information for derivation and expanded formulas):where [X] describes
the final concentration, kV and kW are compiled rate factors including k1–k4, A–D are compiled pre-exponential factors
(including [X]0 and k1–k4), and t is time.
Scheme 3
Rotational
Cycle of 23
Figure 12
SFC chromatogram of 23 and the corresponding UV–vis, 19F NMR, and 1H NMR spectra of the individual isomers
1–4 ,with the numbering corresponding to the isomers shown
in Scheme (UV–vis
spectra are offset for clarity).
SFC chromatogram of 23 and the corresponding UV–vis, 19F NMR, and 1H NMR spectra of the individual isomers
1–4 ,with the numbering corresponding to the isomers shown
in Scheme (UV–vis
spectra are offset for clarity).Concentrated solutions in CH2Cl2 of
the individual
isomers 1–4 of 23 purged with argon were placed
in the autosampler of the SFC machine, in front of which a UV lamp
(365 nm) was positioned. A high concentration was used to allow the
sampling to be only 4 μL, to keep the change in total volume
as small as possible, and simultaneously ensuring the process lasts
long enough for the collection of sufficient data. While the samples
were being irradiated, aliquots for SFC analysis were taken at regular
intervals, the chromatograms were integrated, and the normalized integrals
were plotted against time (Figure ).
Figure 13
SFC integrals normalized over time of the four isolated
isomers
of 23 under 365 nm irradiation at room temperature.
SFC integrals normalized over time of the four isolated
isomers
of 23 under 365 nm irradiation at room temperature.In Figure the
black curves are eqs –4 fitted against the experimental data
points by least-squares analysis in a single fit providing a small
residual error and a high coefficient of determination (R2 = 0.997; see Supporting Information for details of fitting). The observed behavior agrees with the proposed
rate laws and proves the hypothesized connectivity as displayed in
the rotational cycle in Scheme . Starting from any isomer of 23 there is an
exponential decay of the initial isomer coupled with exponential formation
of the two isomers directly connected to it, while the isomer across
from the initial isomer experiences a delayed formation resulting
in S-shaped curves (Figure ).[59] Starting from the meso isomers
of 23 (isomers 2 and 4) there is no preference for either
of the connected isomers, expressed in nearly identical formation
curves of the two enantiomeric isomers of 23 (isomers
1 and 3), while starting from one of the enantiomers, a small preference
appears to exist for the formation of isomer 2 over isomer 4. This
is expressed in a deviation of the final ratios from a simple statistical
1:1:1:1 ratio to a ratio of 0.99:1.11:0.99:0.90 (for isomer 1:2:3:4)
starting from any of the isomers. Isomers 1 and 3 of 23 are expected to behave identically on account of their enantiomeric
relationship and therefore result in identical final ratios.All experiments result in isomer 2 [(r,E,E)-23] as the major isomer
and isomer 4 [(r,Z,Z)-23] as the minor isomer (this relationship is confirmed
by an 1H NMR study, see Supporting Information for details). The origin of this behavior is two-fold:
(i) enantiomeric isomers 1 and 3 both slightly favor rotation of one
rotor over the other by 2% (normalized rates k1 = 1.02 and k2 = 0.98), likely
due to isomers 1 and 3 being chiral and therefore possessing an asymmetric
PES in the excited state, and (ii) the rate of rotation is 8% smaller
for isomer 2 with respect to isomer 4 (normalized rates k3 = 0.91 and k4 = 1.08) leading
to an accumulation of isomer 2, which could be caused by a higher
quantum yield of isomer 4 with respect to isomer 2. Nonetheless, no
matter what the origin of this small deviation from statistical is,
it would not play a role in the third-generation motors 21 and 22 with symmetric rotors. With the use of compound 23 it is shown that, even though the thermal step is too fast
to be measured in a conventional way, these motors still undergo light-driven
rotation and studies using ultrafast spectroscopy to identify the
metastable states and quantify the barriers involved are currently
ongoing.
Conclusions
We have demonstrated
the thermal and photochemical rotational behavior
of a series of third-generation light-driven molecular motors. The
steric hindrance around the core proved to be decisive in the tuning
of the potential speed of double-overcrowded alkenes. Computational
prediction of 1H NMR spectra was used to support the assignment
of experimental spectra as well as the relative configurations. The
presence of a pseudo-asymmetric center has been shown to be essential
to achieve unidirectional rotation. Careful modification of the steric
bulk of the substituents on the bridgehead allows for the precise
control over the direction of rotation, as clearly illustrated by
the opposite directionality with respect to the methyl substituent
taking place in motors 21 and 22. Motor 22 has the potential to be the fastest unidirectional motor
based on overcrowded alkenes to date, and its desymmetrization into
motor 23 allowed for the visualization of the equal rate
of rotation of the two rotor units, which perfectly followed the predicted
model for their rotational behavior. This detailed study on elucidating
key parameters for control of rotary motion of third-generation molecular
motors is essential for the design of more-advanced molecular machines
based on light-driven rotary motion.
Authors: Lukas Pfeifer; Maximilian Scherübl; Maximilian Fellert; Wojciech Danowski; Jinling Cheng; Jasper Pol; Ben L Feringa Journal: Chem Sci Date: 2019-08-09 Impact factor: 9.825
Authors: Anna-Katharina Pumm; Wouter Engelen; Enzo Kopperger; Jonas Isensee; Matthias Vogt; Viktorija Kozina; Massimo Kube; Maximilian N Honemann; Eva Bertosin; Martin Langecker; Ramin Golestanian; Friedrich C Simmel; Hendrik Dietz Journal: Nature Date: 2022-07-20 Impact factor: 69.504