Angewandte
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activated BTD mechanofluorophore expanded over a region
of 30 pixels (15 mm) from the cut indicating the area affected
by the fracture process. Alongside, the non-activated mecha-
nofluorophore intensity plateaued at regions away from the
fracture site and then progressively decreased when reaching
the fracture site as the signal of the activated mechanofluor-
ophore emerged.
calculations, the confocal volume for the non-activated mode
was 0.5 mm3 (close to the typical 0.2 mm3),[50] while that for the
activated mode was 1.6 mm3. The measured concentrations
corresponded, thus, to an average of 1199 and locally up to
3115 activated, and 163441 non-activated mechanofluoro-
phores on average at the fracture site and 366028 non-
activated in the unaffected bulk per pixel. The obvious
inconsistent total number of mechanofluorophores per pixel
was rooted in the decreasing material density at the cut
region, since during fracture the free volume increased, and
the material thinned and frayed. Fçrster resonance energy
transfer (FRET) between non-activated (FRET donor) and
activated (FRET acceptor) BTD mechanophores was ruled
out as significant contributor to this phenomenon by calcu-
lating the FRET efficiency in PHMAb to 0.26% (detailed
calculations see Supporting Information).
Subsequently, these data allowed constructing an unpre-
cedented visual representation of the mechanochemical
activation process. By calculating the fraction of activated
with respect to remaining non-activated mechanofluoro-
phores per individual pixel, we not only provided qualitative
bond scission information, but a direct pixel-by-pixel quan-
tification visualization enabled by the dual fluorescent
character of the employed mechanofluorophores (Fig-
ure 4b,c).
To quantitatively follow fracture in an experimental setup
that offers more control than cutting with a blade, we hung
weights (85 g and 275 g) on supported notched rectangular
PHMAb samples inducing fracture by crack propagation at
different speeds (Movie S1) and visualized the extent of bond
scission in CLSM plot profiles (Figure S4). We observed that
a higher weight led to a faster crack propagation and
consequently to a higher fraction of activated mechanophores
highlighting the potential of this mechanophore system to
correlate microscopic bond scission events to the macroscopic
mechanical properties of the parent material (Figure S5).
To exclude that the non-uniform activation of the BTD
mechanofluorophore over the length of the cut is an artifact
of fabrication or measurements, we created a multi-plot
profile analysis macro to draw consecutive horizontal selec-
tions with a defined distance interval. Applying a region of
interest tool and statistics functions, we found that the
maximum recorded number of photons for the activated
mechanofluorophore locally reached 162, while the number
of photons of the non-activated mechanofluorophore neither
varied significantly away from nor at the fracture site
(exemplary cases in Figure S2). Crosslinked polymer net-
works are non-ideal, contain dangling chain ends and loops,[45]
and mechanophores are differently aligned regarding the
direction of macroscopic force application.[46–48] Hence, each
pixel volume contained a different number of active mecha-
nofluorophores. However, the above data allowed us to
exclude extreme non-uniformity in crosslinker distribution
within PHMAb pinpointing the variation in activation to
microscopic stress and strain distribution differences.
To quantify non-activated and activated mechanofluoro-
phores within fractured PHMAb, we then calibrated the
CLSM setup by using the photon-counting mode on solutions
of the control compounds (Table S2). We chose hexyl acetate
as solvent as its refractive index and physicochemical micro-
environment matches that of PHMA.[49] This yielded calibra-
tion curves for the number of photons per pixel as a function
of the concentration of the respective molecule (Table S3,
Figure S3). By applying the linear fit equations to convert
number of photons to concentrations (molLÀ1), and subse-
quent multiplication with the Avogadro constant to obtain the
number of BTD molecules per m3, we calculated number
densities of the activated mechanofluorophores at their peak Conclusion
intensities at the fracture site of 7.5 ꢀ 1020 mÀ3 on average,
reaching up to 1.9 ꢀ 1021 mÀ3 locally within the cut. The
number density of the non-activated mechanophores was
calculated on average to 3.3 ꢀ 1023 mÀ3 at the fracture site
where the activated mechanofluorophore peaked and to 7.3 ꢀ
1023 mÀ3 within the unaffected bulk. The values measured for
the non-activated BTD mechanophore matched the bulk
mechanophore number densities of 6.0 ꢀ 1023 mÀ3 estimated
from the synthesis parameters of PHMAb and those pre-
viously reported for comparable materials.[24] From the
0.02 mol% fraction of BTD mechanophore crosslinks we
calculated the overall crosslink density of the network to 7.2 ꢀ
1025 mÀ3, which was roughly consistent with a value of 6.0 ꢀ
1025 mÀ3 obtained from swelling experiments and the Flory-
Rehner equation (see Supporting Information for detailed
procedure).
We here presented the design and synthesis of a mechano-
fluorophore family based on Diels–Alder adducts of p-
extended anthracenes and maleimide. The central aromatic
moiety of these optical force probes was readily exchanged
with dihalide building blocks enabling access to redshifted
absorption and emission spectra as well as dual fluorescence.
The mechanically induced bond scission process was qual-
itatively observed in solution by fluorescence spectroscopy
and in rubber networks using confocal laser scanning
microscopy. In addition, the considerable spectral separation
of the emission of non-activated and activated mechanofluor-
ophores allowed the direct and localized quantification of
non-broken and broken bonds.
We anticipate that these mechanofluorophores will find
more application to analyze the behavior of polymer materi-
als under force in the future, because their dual fluorescent
nature allows for tracking of the non-fractured materials,
enables to spatially resolve quantification of damage events,
and is the basis for their optical tunability over the entire
To further quantify and directly compare the number of
mechanofluorophores per confocal volume, we proceeded to
z-scanning of sub-diffraction fluorescent beads (see Support-
ing Information for detailed procedure). According to these
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ꢀ 2021 The Authors. Angewandte Chemie International Edition published by Wiley-VCH GmbH
Angew. Chem. Int. Ed. 2021, 60, 2 – 9
These are not the final page numbers!