10.1002/cphc.201800742
ChemPhysChem
COMMUNICATION
Figure 2b shows the Tm of radicals in the d8-toluene solution
and the solid dispersion state. There are three factors that mainly
affect decoherence and satisfy the following formula:
coherence in solids.[29] DD could integrated with many desirable
functionalities, such as quantum gate,[29] but has not be applied to
organic conjugated systems. With DD to reduce the hyperfine
interaction, the coherence times achieved 37.6(2) μs at 10 K for
3CM in d8-toluene solution and 5.1(1) μs at ambient temperature
for D3CM in the solid dispersion state (Figure S5.7). The DD
experiment further indicates that the hyperfine interactions are the
main reason for the decoherence process in the TM radicals.[29]
1
1
1
1
=
+
+
푇푚 2푇
푇
푒푒
푇
푒푛
1
the molecular system decoherence usually has three ways: 1.
Spin-phonon interaction (this effect can be ignored in TM radicals,
since the T1 is much larger than Tm); 2. Electron-electron spin
coupling, which could be weakened by dispersion in the
isostructural diamagnetic host sample and the deuterated
toluene27; 3. Electron spin-nuclear spin hyperfine interaction. The
magnetic moments of the nuclear spins around the electron
furnish a local Overhauser field, leading to a fluctuation of
magnetic field applied on electron spin.[29] This effect could
accelerate the decoherence process of the electrons, reducing
the Tm. The degree of decoherence depends on two vital factors:
gyromagnetic ratio of nuclear spin and intensity of hyperfine
interaction. Substitution would tune such factors, but are few
studied in OSCs.
Figure 3 | Hyperfine effect in TM radicals. a, The spin density distribution of
TM radicals calculated at ub3lyp/6-31g*. The DFT result revealed that the
meta-positions of TM radicals have a less spin density population than the
para-positions. b, X-band HYSCORE spectra for 3CM, showing the 1H region
with Aiso= 3.1(1) MHz. c, X-band HYSCORE spectra for 4CM, showing the 1
H
region with Aiso= 6.8(6) MHz. For TM radicals, both of DFT and HYSCORE
Bearing substitution atoms with different gyromagnetic ratios
(훾1 : 42.5 MHz/T, 훾2 : 6.5 MHz/T, 훾35Cl: 4.2 MHz/T, and 훾37Cl: 3.5
results indicated substitution at the para-position has a larger influence on the
spin decoherence process than the meta-position.
H
D
MHz/T) at the para-positions, the Tm order (Tm (5CM) > Tm
(D4CM) > Tm (4CM)) was maintained during the entire measured
temperature range. Changing the substitutions at the meta-
positions gave the Tm order (Tm (5CM) > Tm (D3CM) > Tm (3CM)).
The substitution of a lower gyromagnetic ratio nucleus (i.e. D, Cl)
clearly improve the coherence time of TM radicals. While
deuteration is a generally accepted design strategy to enhance
Tm, the high cost of deuterated organic compounds limits its
applications. We note that chlorination is a low-cost and easily-
accessible method to improve the Tm of organic conjugated
molecules for QIP such as molecular quantum bit (qubits).
Practical spin-based information processing not only needs
long coherence times at room temperature, but also should
integrate with traditional devices.[32] The high stability and solution
processing ability of TM radicals enable the hunt for large-scale
and flexible devices, which has not been successfully achieved in
previous reports of NV center or metal ion-based paramagnetic
molecules. 5CM possessed the longest Tm among our TM
radicals with the coherence times up to 13.3(8) μs at 60 K in d8-
toluene solution and 1.17(1) μs under ambient temperature
conditions in the solid dispersion state, which are among the
highest values reported in OSCs.[13] In an effort to further develop
this area of research, we fabricated device-like films by vapor
decomposition and spin-coating of 5CM on polyethylene
terephthalate (PET) and quartz substrates. The transparent PET
and quartz substrates allow for optical techniques to detect or
manipulate the spins, while the flexible PET substrates are also
useful for constructing wearable devices. By simply implementing
a cubic molecular shape model with a mole ratio of 5CM : 5CM-H
= 1 : 1000, each spin center in 5CM was separated by ten
diamagnetic 5CM-H molecules. It is understood that the large
distance between the electron spins may help weaken electron-
electron interactions and enhance the Tm of the film. A 200-nm
5CM : 5CM-H = 1 : 1000 film was grew by vapor decomposition
(Figure 4 and method part). The EDFS of the 5CM-device-like
film revealed a g-factor of 2.0060. These values are consistent
with those of the 5CM-solid (g = 2.0058), suggesting that the
radicals preserve their open-shell character on the substrate
surface. Moreover, compared with the 5CM-solid (T1 = 35.1 (7)
and Tm = 1.17 (1) μs at 298 K), the 5CM-device-like film exhibits
a similar T1 of 35.6 (6) μs and Tm of 1.08(4) μs at 298 K,
suggesting that the interaction between the radicals and
substrates have a slight influence on the longitudinal and
transverse relaxation of the radicals. The Tm keeps nearly a
constant down to 80 K but far smaller than T1 in the entire
temperature range studied here as indicated in Figure 4a.
In addition, the relations of Tm (3CM) > Tm (4CM) are appeared
1
both in solution and solid state, despite that 3CM have more H
atoms than 4CM. Even the Hahn echo of 4CM vanishes above
150 K in solid dispersion state. It is interesting that the far protons
(at para- position) accelerate the decoherence process faster
than the closed protons (at meta- position), showing
a
contradiction with dipole-dipole interaction model, which the
intensity of hyperfine interaction is dominant by distance.[30]
Hyperfine sublevel correlation spectroscopy (HYSCORE) is a
two-dimensional four-pulse stimulated-echo experiment to
measure small hyperfine interactions unresolved in the cw-EPR
spectrum.[31] In order to further scrutinize the isotropic hyperfine
intensity (Aiso) of protons at meta- and para- positions, HYSCORE
experiments were conducted on 3CM and 4CM in a d8-toluene
solution at 60 K. By fast Fourier transformation (Figure 3b and 3c),
the Aiso of protons in 3CM is 3.1(1) MHz, which is conspicuously
smaller than Aiso of protons in 4CM (6.8(6) MHz). The density
functional theory (DFT) calculations demonstrate that the spin
density populated more in para- position than meta- position.
Thus, protons at para-positions provide a large isotropic hyperfine
interaction through Fermi contact effect,[30] which accorded with
the HYSCORE results.
Dynamical decoupling (DD), which uses stroboscopic spin flips
to decouple the electron spin from its weak interaction with the
environment, is an important strategy to preserve electron spin
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