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10.1002/cplu.201900709
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The magnetic properties were measured for single crystals of
Form II with a SQUID magnetometer in a temperature range of
set to avoid differed strongly between the two crystal solvates:
-1
Form I and Form II providing JintraI/k
B
= ‒2.94 cm = ‒4.23 K and
2
K ≤ T ≤ 270 K at a field of B = 1 T (Figure 3). The χmol T vs. T
JintraII/k
B
= ‒1.54 cm-1 = ‒2.2 K, respectively (Figure S10). The
plot is shown in the inset indicating an overall antiferromagnetic
exchange, while the main plot χmol vs. T clearly shows a maximum
at 2.5 K.
To analyse the SQUID data a model of coupled dimers was used.
Combined with a singlet-triplet model the experimental data can
be reproduced by taking an inter–dimer coupling into account
within a mean–field approximation. As shown in the SI Fig. S11
decrease of JintraII compared to JintraI is easily assigned to the large
interplane angle between the radical units (78⁰) in Form II (Figure
2) reducing the spin-spin interaction. For calculation of the
interdimer interaction the X-ray dimer structure geometries of both
forms were selected, and the one more distant radical site on
each biradical was deleted (see SI Section S6). For the Form I
two closely overlapping VZ radicals were found in short distance
-1
the very weak intradimer coupling of JintraII/k
extracted from the field dependence at different temperatures. At
the same time fits to the total susceptibility curve yield zJinterII/k
11.5 K with z the number of nearest neighbours. Thus, the total
B
= -2.1 K could be
B
providing JinterI/k = -2.13 cm = -3.06 K, which is very promising
since JintraI ~ 1.5 JinterI which should allow for a decent increase of
the dimensionality. For form II, on the other hand, two NN radical
fragments are closest packed, with a relative short NO-ON
contact of 4.38 Å dominating this exchange interaction and
B
=
-
intermolecular interaction is five times larger than the
intramolecular exchange, which is not well-suited to reach higher
dimensionalities of the spin ordered triplons in a magnetic field.
Recently DFT methods were successfully applied for calculations
leading to a larger JinterII/k
B
= -4.39 cm-1 = -6.3 K.
From the calculations, it thus appears that Form I would be much
more promising than Form II, and larger crystalline amounts of
Form I would be needed.
[
8, 14,
of spin-spin interactions and explanation of experimental data
1
5]
we performed DFT calculations to estimate the spin-density
In conclusion, we have developed approach to the preparation of
the AFM coupled heterobiradical based on oxoverdazyl and
nitronylnitroxide via Sonogashira coupling. This pathway shows
high potential for further design of tolane-bridged hetero-spin
systems. Both radical moieties have distinctly different optical and
redox properties and verdazyls are slightly less spin delocalised
to the bridging unit than nitronylnitroxides, reducing the exchange
interaction. The obtained biradical crystallised in two crystal
solvates which have principally different magnetic properties:
Form II leads to larger intermolecular than intramolecular
exchange interactions, which is reversed for Form I.
distribution within this biradical and the intra- and intermolecular
exchange interactions. The geometries of the X-ray structures
were used for define of atomic coordination in calculation model.
The Heisenberg-Dirac-Van Vleck (HDVV) Hamiltonian as first
given by Noodleman was applied.[17,18] The broken-symmetry (BS)
approach from Yamaguchi[19,20] was then used for elucidation of
B
the exchange interaction J, which becomes, J/k = (E(BS) –
2
2
E(T))/(S (T) – S (BS)), with E(BS) the energy of the broken
2
symmetry and E(T) the triplet energy. S are the eigenvalues of
the spin operator. With S (BS) close to 1 and S (T) close to 2 the
direct exchange becomes J/k = E(BS) – E(T).
2
2
B
Consequently, synthesised heterobiradical in Form
I
is
Furthermore, the singlet and triplet energy levels calculations
were carried out by UBLYP hybrid function with 6–31G(d) basis
set to avoid Hartree-Fock contamination, usually leading to larger
perspective material for further investigation of interacting triplons
in a magnetic field.
Acknowledgements
This work was supported by the Russian Ministry of Education
and Science (Scientific Program no. 4.5924.2017) and the DFG-
TR49 project. P.V.P. and P.S.P. would like to acknowledge the
Multi-Access Chemical Research Center SB RAS for spectral and
analytical measurements.
Conflicts of interest
There are no conflicts to declare.
spin alternations. The intramolecular exchange interactions (J/kB)
Furthermore, the singlet and triplet energy levels calculations
were carried out by UBLYP hybrid function with 6–31G(d) basis
Keywords: antiferromagnetism • multispin systems • magnetic
properties • stable radicals • Sonogashira coupling
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Figure 3. Molar susceptibility vs. Temperature in range 2-220 K and fields of
0.1 T (light blue full circles) and 1 T (dark blue circles) together with a fit
according the model discussed in the text. The inset shows a χmol T vs. T plot
3
(
full orange circles) with a high temperature value of 0.75 cm ∙K/mol (black
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