Open Access Article
Marcin Kaźmierczak*a,
Vladyslav Maliuzhenkoa,
Aleksandra Tołoczkoa,
Marek Weselskia,
Miłosz Siczeka,
Juliusz A. Wolny
b,
Volker Schünemannb and
Robert Bronisz
*a
aFaculty of Chemistry, University of Wrocław, F. Joliot-Curie 14, 50-383, Wrocław, Poland. E-mail: robert.bronisz@uwr.edu.pl
bFaculty of Physics, RPTU Kaiserslautern-Landau, Erwin Schrödinger Str., 46 67663 Kaiserlautern, Germany
First published on 9th March 2026
Herein, 6-(1,2,3-triazol-1-ylmethyl)coumarin (L1), which can combine molecule photoreactivity and spin-crossover activity in Fe(II) complexes, was prepared by reacting 6-(bromomethyl)coumarin with sodium salt 1,2,3-triazole. L1 forms mononuclear systems [Fe(L1)6](ClO4)2·nCH3CN (n = 0, 2). The solvated form (1) exhibits complete, one-step spin-crossover at T1/2 = 155 K. In 1, there is a competition between two coumarin fragments from two ligand molecules for access to a third fragment located between them. The distances between the double bonds of the lactone rings are equal to 3.70 and 3.92 Å, and light irradiation at a wavelength of 365 nm results in [2 + 2] cycloaddition. Although photoconversion can proceed in two directions, this competition ultimately yields a two-dimensional polymer layer with a frustrated topology. The resulting complex (1c) also exhibits spin crossover, showing a slight shift to lower temperatures (T1/2 = 141 K). The non-solvated complex (2) exhibits a two-step spin-crossover (T11/2 = 83 K and T21/2 = 62 K). In contrast to 1, only one type of ligand pair exists for which topochemical requirements are fulfilled. In effect, a regular (2,2) polymeric layer is formed as a result of the [2 + 2] photocycloaddition (λ = 365 nm). This results in an unprecedented shift in the spin crossover to higher temperatures up to 197 K. The photoconversion product (2c) is characterized by the presence of strong strains involving dimerized ligand molecules, particularly cyclobutane rings. DFT modelling based on the structure of the dimerized ligand reveals a significant difference in this strain, and the energetic effect of it (stress) is more than 240 kJ mol−1 higher for the ligands corresponding to the complex in the HS state. This is consistent with the observed 114 K shift of the transition temperature upon transformation from the initial mononuclear complex to the photoconverted 2D structure.
Studies of azopyridine-based coordination compounds revealed that cis/trans photoisomerization is possible and causes spin-state switching (LD-LISC),11 but these processes take place noticeably in solution, in the form of a dispersion in the cellulose acetate matrix12 as well as in thin films.13,14 An application of 2,6-di(1H-pyrazol-1-yl)-4-styrylpyridine by Nishihara succeeded in one-way switching in solid.15 An extension of the concept of using molecules undergoing intramolecular isomerization was the use of bis(thienyl)ethene-type fragments. Additionally, in this case, successfully performed photoisomerization affected spin-crossover behavior.16–19 A different approach is the use of photoinduced, intermolecular [2 + 2] cyclization. However, the number of systems of this type is very limited. In this approach, ligand molecules, guest molecules,20 and counterions21 are used. The use of styrylpyridine (spy) or trans-1-(2-pyridyl)-2-(4-pyridyl)ethylene (2,4-bpe) resulted in a shift in the spin crossover to lower temperatures, a decrease in cooperativity combined with incomplete spin-crossover, or even the loss of the ability to thermally induce spin crossover.22,23
Such an extremely small number of implementations indicates low effectiveness in meeting the topochemical conditions, which directly results from the unpredictability of the crystal structures of novel coordination compounds. To overcome this barrier, we have recently exploited as a photoreactive unit 7-(tetrazol-2-ylmethyl)coumarin (L, Scheme 1), which contains a flat photoreactive coumarin fragment and readily forms layered structures required to satisfy the topochemical requirements in the solid state. In the case of mononuclear system [Fe(L)6](BF4)2·4CH3CN, the 0 D → 1 D structural conversion entailed a transition from a system exhibiting thermally induced complete spin crossover to a coordination polymer remaining in a high-spin state down to 10 K.24 Such a decisive change in the spin-crossover properties of systems undergoing intermolecular [2 + 2] cyclization became an incentive to gain deeper insight into both the structural processes related to photoconversion and their influence on the spin state. Continuing this research, we decided to maintain the general scheme of the ligand molecule structure, in which the methylene linker connecting the coumarin fragment with the donor group is responsible for the adaptation of the ligand shape with respect to neighboring molecules, thus facilitating the fulfillment of the topochemical requirements.25–28
![]() | ||
| Scheme 1 Structures of 6-(1,2,3-triazol-1-ylmethyl)coumarin (L1) and 7-(tetrazol-2-ylmethyl)coumarin (L). | ||
In this study, we used a new photoreactive ligand system by replacing the tetrazol-2-yl group with a 1,2,3-triazole ring and changing the donor anchoring site in the coumarin fragment (Scheme 1). We present the structural consequences of photoconversion processes (i) occurring between unambiguously defined, which are topochemically favored pairs of coumarin fragments, and (ii) depending on the unique competition between two topochemically favored coumarin-based pairs. The resulting structural conversions affected spin-crossover properties, in particular leading to the first observation of an extremely strong shift of the spin crossover towards higher temperatures.
Depending on the conditions, reactions between L1 and iron(II) perchlorate (molar ratio: 6
:
1) carried out in acetonitrile can lead to the formation of two compounds. The formation of very thin, colorless plates of [Fe(L1)6](ClO4)2·2CH3CN (1) starts within 2–3 days after combining the reagents. If the crystalline product is left in the mother liquor for 3 weeks, a single-crystal-to-single-crystal transformation begins. The formation of colorless blocks of novel compound [Fe(L1)6](ClO4)2 (2) is very slow (months). It is worth noting that seeding the reaction mixture with crystals of previously prepared compound 2 leads to the growth of the crystalline product within 2–3 weeks.
The complexes are stable during storage in a nitrogen atmosphere. Importantly, cooling colorless crystals of 1 and 2 in liquid nitrogen results in the appearance of a violet color, which indicates the occurrence of the 5T → 1A spin-crossover.
Mössbauer spectrum of 1 at 260 K (Fig. S3) is composed of one quadrupole doublet (ΔEQ = 1.31 mm s−1, δ = 1.04 mm s−1), indicating the homogeneity of the sample. A decrease in temperature is accompanied by the appearance of the LS component. Lowering the temperature results in the vanishing of the HS form, and at 140 K (Fig. S3c), only the LS form (ΔEQ = 0.32 mm s−1, δ = 0.53 mm s−1) is observed. The temperature dependence of the relative area of the HS form derived from (AHS/(AHS + ALS)) very well corresponds to the results of the magnetic studies (Fig. S4), which confirms the homogeneity of the sample.
In 1, there is one crystallographically independent Fe(II) ion in the crystal lattice. The first coordination sphere of Fe(II) consists of six 1,2,3-triazole rings linked through exo-located nitrogen atoms N3 (Fig. 2a, Fig. S1). At 250 K, the Fe–N distances are equal to 2.176(2), 2.178(2) and 2.246(2) Å. The N–Fe–N angles are in the range of 87.9(1)°–92.2(1)° (Σ = 14.1°). Cooling the crystal to 80 K results in shortening of Fe–N distances to 1.984(2), 1.987(2) and 2.023(2) Å. These values are close to those expected for complete spin-crossover. The N–Fe–N angles adopt values in the range of 88.5(1)°–91.7(1)°, and a slight reduction in the distortion of the FeN6 chromophore as a result of the formation of an LS form occurs (Σ = 9.1°). Spin crossover does not involve other serious structural changes, such as coordinated ligand molecules, anions and acetonitrile molecules.
O). A new band, which shifts toward higher frequencies, appears. It should be noted that the changes are less pronounced than those in the previously reported system [Fe(L)6](BF4)2·4CH3CN.24 Notably, photoconversion does not affect the ν(CN) vibration of the acetonitrile molecule. It was established that exposure longer than 120 s did not lead to further changes in the spectrum.
:
0.42. This confirms that competition occurs in two directions, reducing the yield of the dimeric form. In such a case, the formation of various types of nodes with lower connectivity cannot be excluded and includes complex cations that are not engaged in photoconversion (Scheme 2a).
1 → 1c photoconversion does not lead to a change in the pattern of the spectrum (Fig. S3). Quadrupole splitting and isomer shift parameters for photoconverted sample 1c in the HS form (ΔEQ = 1.39 mm s−1, δ = 1.05 mm s−1 at 240 K) and in the LS form (ΔEQ = 0.30 mm s−1, δ = 0.55 mm s−1 at 61 K) change insignificantly. The temperature dependence of the relative area of the HS form (AHS/(AHS + ALS)) indicates that spin crossover became more gradual and shifted to lower temperatures. Spin-crossover temperature T1/2 derived from Mössbauer spectroscopy studies can be estimated to be 138 K (Fig. S4).
The results of the magnetic studies confirmed that a more gradual spin crossover occurred after photoconversion, which shifted to slightly lower temperatures (T1/2 = 138 K) (Fig. 1).
The FTIR spectra of the macroscopic samples 1 and 1c (nujol mull) are placed in the SI, as shown in Fig. S6.
The spin states of 1 and 1c can be switched by irradiation with green light (λ = 532 nm, Fig. S7). The LS → HS* switching is complete. For both compounds, a similar stability of the metastable HS* phase is observed after switching. The systems begin to relax back to the LS phase above a temperature of ∼30 K. In the case of compound 1c, for which the thermally induced spin crossover shifts to slightly lower temperatures, the TLIESST value is 56 K and is slightly higher compared to compound 1, for which TLIESST = 52 K. It is worth noting that, in this case, irradiation of 1 did not involve [2 + 2] cyclization.
Conclusions drawn from structural studies on photoconversion may allow for further rationalization of the spin-crossover behavior in 1c. In light of the SCXRD studies, crystal 1c is composed of structurally different spin-crossover centers. Moreover, the diffraction pattern does not reveal the occurrence of long-range ordering of photocyclized molecules. This implies that the nonequivalence of spin-crossover centers, in combination with the structural variability of further coordination spheres, is translated on the course of spin crossover. This results in a wider range of temperatures at which spin crossover occurs. Single-crystal X-ray diffraction studies of 1c revealed that in the cooling mode, spin crossover starts at a temperature practically the same as that observed for 1, whereas at lower temperatures, a significantly greater contribution of the HS form occurs. The value of T1/2 can be estimated from single-crystal X-ray diffraction studies, which is equal to about 141 K (Fig. 1).
In the heating mode (1 K min−1), the low-temperature, second step of spin crossover is shifted to higher temperatures (T21/2 = 70 K), while the spin-crossover temperature for the first step (T11/2 = 83 K) practically remains the same as that observed in the cooling mode. Nevertheless, measurements performed in the settling mode during cooling and heating revealed that upon heating, the course in the second stage is practically the same as that obtained in the cooling cycle. Thus, the presence of the hysteresis loop in the second step results from the slow kinetics of the spin crossover (Fig. 4b).
Spin-state switching in 2 can also be accomplished by light (Fig. S8). Irradiation of the LS form (obtained by the previous thermal HS → LS switching carried out at 60 K, followed by cooling to 10 K) with light of a wavelength of 532 nm results in quantitative LS → HS* switching. Heating (0.3 K min−1) generates the HS* form, which triggers HS* → LS conversion at temperatures above 50 K. For a change, cooling sample 2 to 10 K with a temperature scan rate of 1 K min−1 leads to nearly equal contributions of the HS and LS forms. In such a case, relaxation to the HS or LS form is not observed at 10 K. This allows for switching the sample with 532 nm light to the HS* form or illuminating the sample with 808 nm to the LS form. Irradiation with red light leads to a sample containing about 20% of the HS form, and just further heating (0.3 K min−1) causes (above 50 K) vanishing of the HS form as expected.
The first coordination sphere in 2 is composed of six 1,2,3-triazole rings (Fig. 5a, Fig. S9a), similar to that in 1. At 250 K, the Fe–N distances are equal to 2.228(1), 2.213(1) and 2.168(1) Å. The N–Fe–N angles are in the range of 87.8(1)°–92.2(1)°. There are therefore no differences in the structure of FeN6 chromophores between 1 and 2 that unambiguously explain the differences in spin-crossover temperatures.
Variable temperature single-crystal X-ray diffraction studies showed that lowering the temperature below 100 K involves shortening the Fe–N distances (Fig. 4b). At 80 K, the Fe–N distances are equal to 2.122(2), 2.134(3) and 2.079(3) Å, so the contribution of the HS form can be estimated to be about 55% (considering an expected shortening of the Fe–N distance by ∼0.2 Å). At 80 K, there are no major changes in the structure of the complex cation in relation to the HS structure. The orientation of the ligand molecules with respect to the FeN6 chromophore remains practically unchanged. The changes in torsion angles do not exceed 3° (Table S4).
It is worth mentioning that in the HS phase (250 K), there is one crystallographically independent iron atom in the crystal lattice. This does not change at 80 K, where one crystallographically independent iron atom in the crystal lattice is still present. Moreover, at this temperature, no other structural changes were observed compared to the structure determined at 250 K. Some light on why a two-step spin-crossover occurs in 2 is shed by the results of the Mössbauer spectroscopy studies. Above the spin-crossover temperature region, the spectrum consists of a quadrupole doublet (ΔEQ = 2.05 mm s−1, δ = 1.14 mm s−1 at 200 K) corresponding to the HS form (Fig. S10a). Cooling below 140 K is associated with the appearance of a signal consisting of two LS components. At the saddle point (76 K), the contribution of the HS form (derived from the ratio of the experimental areas according to AHS/(AHS + ALS1 + ALS2)) equals 0.48 (Fig. 6a). At 50 K, only low spin components (Fig. S10b) of areas ratio ALS1
:
ALS2 – 1
:
1 (δLS1 = 0.53 mm s−1, ΔEQ(LS2) = 0.30 mm s−1, δLS2 = 0.55 mm s−1) are present. Thus, the evolution of Mössbauer spectra indicates the occurrence of structural changes within the temperature range of the spin crossover, which can be responsible for a two-step character. In the heating mode, spin crossover shifts to slightly higher temperatures, which, in accordance with magnetic studies, confirms that the second step is associated with the occurrence of a very narrow hysteresis loop of width ca. 2 K (Fig. 4b).
O) band changes, with an additional peak emerging at 1739 cm−1. Notably, the characteristic ν(CN) vibration at 2250 cm−1 is absent (Fig. 3b, Fig. S11).Cycloaddition is accompanied by the formation of a cyclobutane ring. In previous studies, we determined the crystal structure of the uncoordinated form of a dimeric, tetrazole-based ligand.24 The torsion angle defined by four carbon atoms of the cyclobutane in such a dimeric ligand molecule was equal to 17.9(1)°, while in the high-spin form of the coordination compound, it (C2–C3–C14–C13) was 13.3(1)°, indicating the appearance of some strain. The values of the puckering angles were equal to 25.3° and 19.3° (80 K). The situation in 2c changes dramatically. The cyclobutane ring is significantly more flattened. The torsion angle (C14–C15–C27–C26) equals only 8.4(1)°, while the puckering angle adopts a value of 11.8° (300 K) (transition to the LS form involves an increase in the angle to 12.4° at 80 K). It is worth noting that for a stress-free cyclobutane derivative, one expects a value of about 25–30°. This means that the dimeric molecule in complex 2c is extremely strained. For comparison in 2, the torsion angles defined by the carbon atoms of the cyclobutane rings are equal to 21.2° and 35.2° (HS, 250 K). The puckering angles adopt values of 27.5° and 46.4°, respectively. Without a doubt, the structure of the cyclobutane fragment is different from that of other coumarin derivatives.
In contrast to other coumarin-based photo-products, the methylene group in 2c is directed towards the carbon atom of the 1,2,3-triazole ring from the adjacent arm of the same dimeric ligand molecule. The Ctr⋯Cmethylene distance is 3.36(1) Å; thus, it is shorter than the sum of the van der Waals radii for carbon atoms. Moreover, distances between hydrogen atoms are equal to 2.1 Å (HS form) and 2.0 Å (LS form), that is, they are shorter than the sum of van der Waals radii for hydrogen atoms, too. Therefore, the strain in 2c may also result from repulsive interactions. For comparison, from the previously studied tetrazole derivative to compound 2c, the tetrazole nitrogen atom N1 is replaced by the corresponding carbon atom Ctr in the 1,2,3-triazole ring; hence, the nitrogen atom in the tetrazole derivative could participate in an attractive interaction (Fig. S14). Importantly, the corresponding Ctr⋯Cmethylene distance in 2 exceeds 3.6 Å.
Attempts to reverse the photocycloaddition by exposing 2c to UV light (250–260 nm) were unsuccessful. Heating was also attempted. It was determined that the dissociation process begins at 225–230 °C. The crystal structure determination revealed ligand disorder, with both the dimeric form and the reconstructed initial monomer present at the same Fe(II) coordination site. Based on the occupancy factors, it was established that approximately 10% of the dimeric ligand molecules had dissociated. Due to the presence of perchlorates, work on bulky samples and at higher temperatures was not conducted.
Magnetic measurements were performed on the sample generated as described above, and the recorded χMT(T) dependence was consistent with that obtained from Mössbauer studies. No hysteresis was found (Fig. 7). Continuous irradiation of sample 2c at 10 K with 532 nm light leads to LS → HS* switching (Fig. S14). However, immediately after turning the light off, HS* → LS relaxation starts. Considering the significant elevation of T1/2, the low efficiency of photoswitching remains in agreement with the inverse energy gap law.29,30
![]() | ||
| Fig. 7 Temperature dependences of χMT (SQUID, 1 K min−1), relative areas of the HS form derived from Mössbauer spectroscopy and relative shortening of average Fe–N distance derived from single-crystal X-ray diffraction studies for 2c. The meaning of x is given in the caption to Fig. 4. For comparison, the χMT(T) curve (cooling mode, 0.01 K min−1) for compound 2 (blue squares) is added. | ||
To sum up, surprisingly, the spin crossover was significantly shifted towards higher temperatures from ca. 83 to 197 K, i.e., at about 114 K. To the best of our knowledge, such behavior was not previously observed for other spin-crossover systems based on photoresponsive ligands. The first successful application of the [2 + 2] photocycloaddition was presented by M.-L. Tong by irradiating the Hoffman network-type systems [Fe(4-spy)2{Ag(CN)2}2] and [Fe(2,4-bpe)2{Ag(CN)2}2] (4-spy = 4-styrylpyridine, 2,4-bpe = trans-1-(2-pyridyl)-2-(4-pyridyl)ethylene) with UV light (high-pressure mercury lamp).23 In the first case, an abrupt and complete spin-crossover (T↓c = 212 K and T↑c = 215 K) changes character to a two-step one and shifts to lower temperatures (T↓c1 = 190 K, T↑c1 = 194 K, T↓c2 = 166 K and T↑c2 = 169 K). For the second compound, the two-step spin-crossover (T↓c1 = 164 K, T↑c1 = 167 K, T↓c2 = 141 K and T↑c2 = 146 K) becomes incomplete and occurs over a broad temperature range from 50 to 300 K. Further research by the same group using photoreactive ligands of the styrylpyridine type resulted in another Hoffman network-type system [Fe(3-spy)2{Pd(CN)4}] (1,3-spy = 3-styrylpyridine) exhibiting a two-step spin transition (T↓c1 = 123 K and T↑c1 = 132 K and T↓c2 = 94 K and T↑c2 = 119 K).22 In this case, quantitative photoconversion leads to a high-spin system. It is worth noting that the photocycloaddition process could be reversed by 68% by heating at 250 K for 12 h. Further studies using 3-spy led to the synthesis of [Fe(3-spy)2{Ag(CN)2}2] undergoing a two-step spin transition below 150 K.31 Photocycloaddition [2 + 2] results in a gradual and incomplete spin-crossover occurring in the range of 70–200 K. Irradiating the photoconversion product with 254 nm UV light allows for the partial reversal of the cycloaddition. Our recent studies demonstrated that the use of 7-(tetrazol-2-ylmethyl)coumarin leads to a mononuclear system, [Fe(L)6](BF4)2·4CH3CN, exhibiting a cooperative and complete spin-crossover (Tc = 130 K), while the high-spin product of [2 + 2] photocycloaddition did not show a thermally induced spin-crossover.24 It is worth noting that coordination compounds containing ligands undergoing intramolecular photoisomerization attract immense interest. A review of such systems was conducted by B. Brachňaková and I. Šalitroš.32
The average molar ratio of ligand molecules that underwent photocycloaddition (dimers) to molecules that did not undergo conversion was determined from the 1H NMR spectrum (sample 2c) dissolved in deuterated acetonitrile/deuterated water (20/1 v/v, see SI for details) based on the integration of signals from the methylene group protons, which were completely separated in the spectrum. The determined molar ratio is 1.92
:
1.
In the HS form of 2c at 300 K, the Fe–N bond lengths are equal to 2.225(1), 2.198(1), and 2.173(1) Å. The average Fe–N distance equals 2.199(1) Å and is insignificantly shorter than the values observed at 250 K for 2 (2.203(1) Å) and 1 (2.200(2) Å). It should be noted that after photoconversion, Σ adopts a value of 28.9° (300 K), which is greater than the values observed for 2 (16.3° at 250 K) and 1 (14.1° at 250 K). Cooling of crystal 2c to 250 K involves a slight shortening of the Fe–N distances to 2.212(2), 2.183(2), and 2.168(2) Å, which is in line with the start of spin crossover. At 80 K, the Fe–N bond lengths are equal to 1.973(1), 1.988(1), and 2.001(1) Å; thus, they are characteristic of the LS form. A value of Σ = 29.4° for the LS form of 2c is close to the one found for the HS form. The temperature dependence of the Fe–N distances (Fig. 7) for 2c agrees with the results of the magnetic and Mössbauer studies.
Spin crossover in 2c involves a slight reorientation of triazole rings (tr). The Ntr–Ntr–Fe–Ntr torsion angles as well as the angles between the planes of the triazole rings and the equatorial plane of the coordination octahedron (defined by nitrogen donor atoms from ligands undergoing photoconversion) change by 1°–4° upon spin crossover in 2c. The changes in the mutual orientation of the triazole and coumarin fragments are of similar magnitude. In 2, these changes are smaller than 3°. The HS → LS transition in 2c involves a reduction of the distance between bridged Fe(II) ions from 12.00 Å (300 K) to 11.73 Å (80 K, complete spin-crossover). For comparison, the corresponding separation in 2 decreases from 11.92 Å (250 K) to 11.72 Å at 80 K; ca. 50% of the Fe(II) ions adopt the LS state. Spin crossover also involves a decrease in the separation between the polymeric layers in 2c from 18.01 Å to 17.71 Å. The analogous distance in 2 is reduced from 18.12 Å to 18.07 Å.
In conclusion, the structural changes associated with thermally induced spin crossover in complexes 1 and 2 as well as their photoconversion products are typical.
Our previous studies on the coordination compound [FeL6](FB4)2·4CH3CN and its photoconversion product demonstrate that the stress resulting from photoconversion is a reason for the very strong stabilization of the HS form. In fact, the photoconversion in 2c entails much larger alterations. The 2 → 2c conversion involves a reorientation of one of the three crystallographically independent 1,2,3-triazole rings with respect to the Fe–N6 bond; the torsion angle N8–N9–Fe–N6 increases from 32.8(2)° to 37.3(2)°. Additionally, it is associated with a change in the inclination of the triazole ring in relation to the equatorial plane of the coordination octahedron. Moving away from the Fe(triazole)6 core, the adaptive abilities of the ligand molecules become more pronounced. Thus, the torsion angles covering the methylene group of the ligand molecules undergoing photocycloaddition change in a wide range of values (from 4 to 27°, Table S3). The structural transformation is also reflected in the ligand molecule not taking part in the cyclization process, which indicates the appearance of perturbation spreading on the whole crystal lattice; here, the angle N1–C10–C6–C7 changes by about 8.6°.
To sum up, it is clearly visible that the structural changes associated with the 2 → 2c photoconversion are much greater than those resulting from the thermally induced spin-crossover. Concomitantly, a comparison of the crystal structures of 2 and 2c indicates that the changes triggered by spin crossover in 2c are slightly greater than those that occurred in 2, and these changes are typical of thermally induced spin-crossover. Nevertheless, a comparison of the magnitudes and directions of these changes does not provide any basis for explaining why photoconversion leads to such strong stabilization of the LS form. Thus, it should be considered that lattice-based effects perpetuate stress and prevent stored energy from dissipating. In such a situation, the strain accumulated in the coordination compound 2c ligand structure crucially affects the energies of the HS and LS forms, which are responsible for a drastic change in spin-crossover properties. To evaluate this effect, density functional theory (DFT) calculations were performed.
33 using the TPSS exchange–correlation functional34 and the TZVP basis set35,36 with Grimme's D3 dispersion correction.37 In what follows, we focus on the change in strain in the photodimerized ligand from the LS to the HS state. First, we calculated the mean electronic energies of the photodimerized ligands for the HS and LS spin isomers, taking the geometries of the two inequivalent ligands. Much lower energy was found for the ligands in the LS structures; the difference between the LS and HS states was 234 kJ mol−1. To compare this value with the known difference in the strain of the ligands coordinated to the LS and HS spin isomers of the SCO Fe(II) complexes, we may refer to ref. 38. It was shown that for 17 Fe(II) spin-crossover complexes with hexa-coordinating nitrogen-donor ligands, LS–HS conversion is associated with a release of ligand stress of 95 ± 16 kJ mol−1. This value implies that the LS to HS spin transition results in a significant decrease in the ligand strain in the mononuclear complexes. For the systems under study in this paper, the opposite effect is thus found. It is noteworthy that our modelling of the 1D photodimerized analogous system containing the tetrazole coordinating ligands (ref. 24) does not reveal any change in the strain of the ligands. In a further step, we calculated the strain difference of the ligands and subsequently the smaller fragments thereof (Fig. 8). The decomposition of the strain differences reveals that the largest part of the stress (energetic effect of strain) difference (102 kJ mol−1) in the dimerised ligand comes from the interaction involving the triazole rings. The rest (132 kJ mol−1) is the sum due to differently interacting phenyl rings (96 kJ mol−1) and the difference in the conformation of cyclobutane (36 kJ mol−1). The stress difference of 102 kJ mol−1 between the model of the ligand and its core without tetrazole ligands contains 62 kJ mol−1 due to the different interactions of the methyltriazole rings. Consequently, the remaining 40 kJ mol−1 must be due to the interactions between the triazole moieties and the phenyl rings. All interactions shown in Fig. 8 favour the geometry observed in the LS state of 2c. This is somewhat surprising; only 15% of the additional ligand stress upon transition from the LS to the HS state is due to strain induced in the cyclobutene ring. Seemingly, this ring suffers from such a large strain that additional deformation is only limitedly possible. This effect counterbalances the entropic and ligand-field effects, which are the driving forces of the LS to HS transition, resulting in a 100 K shift at the critical temperature.
![]() | ||
| Fig. 8 Electronic energy differences ΔE of photodimerized ligands and their fragments corresponding to the whole molecules in their HS and LS states. Energy differences were taken between the HS and LS configurations (EHS–ELS). Thus, positive values reflect a higher strain for the related HS structures. Energies were calculated using single point calculations for isolated fragments with geometries taken from the X-ray data. The obtained ΔE values for the ligand of 2c and its decomposed fragments are shown as blue bars and compared to related tetrazole analogues (ref. 24, green bars). Notably, the electronic energy of the optimized cyclobutane obtained using the same DFT tools is 145 kJ mol−1 higher than that obtained for the cyclobutane fragment corresponding to that in the LS structure of 2c, indicating stress due to the compression of the cyclobutane skeleton in the dimerized ligand. Although the disorder of the coumarin cyclobutane fragment in the structure of 1c makes it difficult to obtain reliable coordinates for computation, it was possible to calculate the stress difference related to the vicinity of the triazole ring (see the structure shown in the box). The obtained value of 38 kJ mol−1 is significantly lower than that for 2c. We were also able to obtain the geometry of the cyclobutane for LS-1c. Although the reliability of this model is limited by two C–C bonds elongated (one being over 1.7 Å long) and the other shortened (one being below 1.4 Å), the obtained energy points to a lower strain in the dimerised ligand in 1c than in 2c. Moreover, the energy of this disordered cyclobutane ring is 105 kJ mol−1 higher than that obtained for the optimized geometry. The robustness of the calculations of the stress difference was checked using calculations with four different correlation-exchange functionals, each with four different basis sets. The results are shown in the SI and reveal fairly similar findings, revealing the weaker dependence of the calculated strain difference on the functional (the largest difference of ca. less than 10%) and somewhat higher on the basis set (the largest difference of less than ca. 20%). | ||
CCDC 2490226–2490234 contain the supplementary crystallographic data for this paper.39a–i
| This journal is © the Partner Organisations 2026 |