research communications
computational study, and Hirshfeld analysis of exo-1,2,3,5-tetraphenyl-1a',9b'-dihydrospiro[bicyclo[3.1.0]hexane-6,1′-cyclopropa[l]phenanthren]-2-en-4-one
aDepartment of Chemistry, Colby College, Waterville, ME 04901, USA
*Correspondence e-mail: [email protected]
The reaction of dibenzonorcarynyliden(e/oid) with phencyclone was recently reported to give a congested spiropentane with endo stereochemistry. Herein we report that, in sharp contrast, an analogous reaction using tetracyclone, instead of phencyclone, gives the highly crowded title spiropentane but with exo stereochemistry as determined by X-ray crystallography. This new tetracyclone adduct (C44H30O) crystallizes upon slow evaporation from hexanes/ethyl acetate in the monoclinic crystal system and P21/n (No. 14) It has one molecule in the and four molecules per DLPNO-CCSD(T)/def2-TZVP//B3LYP/def2-SVP calculations indicate that the endo spiropentane from phencyclone and tetracyclone are both more stable than the corresponding exo forms by 6.68 and 5.35 kcal mol−1, respectively. As noted previously in the phencyclone system, favorable π-stacking interactions between the two flat biphenyl moieties in the product and transition state may lead to the preferential formation of the endo diastereomer. However, the ability of the phenyl rings in the 3,4-position of the tetracyclone component to rotate could introduce destabilizing steric interactions in the transition state that hinder formation of the endo diastereomer in favor of the less thermodynamically stable exo isomer.
Keywords: crystal structure; Spiropentane; Stereochemistry; Hirshfeld analysis.
CCDC reference: 2357704
1. Chemical context
Recently, we disclosed that the treatment of 1,1-dibromo-1a,9b-dihydro-1H-cyclopropa[l]phenanthrene (1) with butyllithium at low temperatures followed by quenching with phencyclone (2) gave the congested spiropentane 3 as the endo diastereomer (Roth & Thamattoor, 2024
). Compound 3 presumably issues from trapping the carben(e/oid) derived from 1 with 2. Conspicuously, the exo diastereomer of 3, the spiropentane 4, was not observed in the reaction. Herein, we report the curious finding that when the trapping agent 2 is replaced by tetracyclone (5), a decidedly different outcome is observed. In this case, it is the exo diastereomer of 1,2,3,5-tetraphenyl-1a′,9b′-dihydrospiro[bicyclo[3.1.0]hexane-6,1′-cyclopropa[l]phenanthren]-2-en-4-one (6) that is found in the reaction mixture. (An alcohol, which is likely produced by addition of the initially formed lithioanion to 5 followed by work up, is also formed as a byproduct.) Interestingly, we did not observe 7, the endo diastereomer of 6, in the reaction mixture. The scheme below shows the synthesis of endo- and exo-spiropentanes 3 and 6, respectively.
Calculations at the DLPNO-CCSD(T)/def2-TZVP//B3LYP/def2-SVP level of theory (Neese et al., 2020
; Weigend & Ahlrichs, 2005
; Weigend, 2006
; Becke, 1988
; Becke, 1993
; Riplinger & Neese, 2013
; Riplinger et al., 2016
; Riplinger et al., 2013
) indicated that the endo spiropentane adduct 7 is 5.35 kcal mol−1 more stable than its exo isomer 6. To compare, our previous calculations indicated that 3 is more stable than 4 by 6.68 kcal mol−1. Thus, the endo diastereomer is calculated to be the more thermodynamically stable product in both cases, although the difference is slightly less for the 6/7 pair. We reasoned that the favorable π-stacking interactions between the two flat biphenyl moieties in the transition state leading up to the endo diastereomer, was likely why 3 was preferred over 4. In other words, 3 was both the thermodynamic and kinetic product. In the reaction using 5 as the trapping agent, however, the ability of the phenyl rings in the 3,4-position of the dienone component to rotate could introduce destabilizing steric interactions that hinder formation of endo diastereomer 7 and favor the less thermodynamically stable exo isomer 6.
2. Structural commentary
The of 6 is shown in Fig. 1
. The crystal system is monoclinic and belongs to the P21/n (14) with one molecule in the The carbonyl group is perched over the erstwhile phenanthrene framework with the oxygen at a distance of 3.472 (2) Å to the centroid marked A in Fig. 1
(purple line). Four intramolecular short contacts between atoms (sum of vdW radii − 0.3 Å) were also identified (Table 1
) and are designated by the cyan lines in Fig. 1
. The four phenyl rings attached to the cyclopentenone moiety are all non-coplanar with the five-membered ring as listed in Table 2
. The blue ring shows the largest twist [73.67 (10)°] and the magenta ring has the smallest [35.06 (9)°].
| ||||||||||||||||||||||||||||||
| ||||||||||||||||||||
| Figure 1 Single-crystal X-ray structure of 6. Displacement ellipsoids are shown at the 50% probability level. |
3. Supramolecular features
The monoclinic of 6, with its four molecules, is shown in Fig. 2
. The packing of 6 within a 2×2×2 range of cells, with a slightly offset view along the b axis, is displayed in Fig. 3
.
| Figure 2 The monoclinic unit cell of 6 contains four molecules. |
| Figure 3 The packing motif of 6 in a 2×2×2 range of cells as viewed with a slight offset along the b axis. |
Short intermolecular contacts within the of 6 were also investigated via a Hirshfeld surface analysis (Fig. 4
; CrystalExplorer 21; Spackman et al., 2021
). The red, grey, and blue regions of the dnorm surface signify the presence of neighboring atoms at distances less than, approximately equal to, and larger than than the sum of the vdW radii, respectively. Remarkably, as shown in Table 3
, only four such contacts were located (sum of vdW radii − 0.1 Å). Two of these are reciprocal contacts between the carbonyl oxygen and two hydrogen atoms (H6 and H9) in the bay area of the phenanthrene framework of a neighboring molecule to form a dimer. Additional, somewhat weaker, intermolecular contacts are between C40 and H1, as well as C41 and H24 involving two different and separate neighbors.
| ||||||||||||||||||||||||||||||||
| Figure 4 Hirshfield dnorm surface showing intermolecular short contacts made by the in the of 6. |
The shape-index map of the Hirshfeld surface is shown in Fig. 5
a. The map does not show significant red and blue triangles that are conjoined in bow-tie shapes, which are typical of π–π interactions. The map does reveal a number of C—H⋯π interactions, as evident from the bright-red patches within some of the aryl rings that are complementary to the blue regions of the specific C—H bonds. The curvedness map of the Hirshfeld surface (Fig. 5
b) shows numerous smaller planar regions (green) twisted away from one another by ridges (blue). This lack of an extensive planar region on the molecular surface may provide a clue as to why π–π interactions are not dominant in the of 6.
| Figure 5 The Hirshfeld surface plotted over (a) shape-index and (b) curvedness. |
The observations noted above are consistent with the reciprocal 2D fingerprint plot of de vs di (where de and di are distances from a given point on the surface to the nearest external and internal atom, respectively), which are shown in Fig. 6
for specific types of interactions such as (a) H⋯H, (b) C⋯H/H⋯C, (c) O⋯H/H⋯O, and (d) C⋯C. These maps show that 62% of all interactions come from H⋯H which is unsurprising given the large number of hydrogens in the molecule. The C⋯H/H⋯C interactions are the second largest contributors (33.6%) followed by O⋯H/H⋯O (3.7%) and C⋯C (0.7%).
| Figure 6 The reciprocal two-dimensional fingerprint plot of de versus di for the different types of interactions coded by color. |
4. Database survey
A survey of the Cambridge Structural Database (Groom et al., 2016
) using WebCSD (version 1.9.61; accessed April 6, 2025) revealed no previous report of the title compound 6. The only entry similar to 6 is the phencyclone adduct 3, which we have recently reported (REFCODE HOJLIF; Roth & Thamattoor, 2024
). To our knowledge these are the only examples in the database in which the central atom of a spiropentane moiety is attached to the edges of two separate ring systems.
5. Synthesis and crystallization
Synthesis of exo-1,2,3,5-tetraphenyl-1a′,9b′-dihydrospiro[bicyclo[3.1.0]hexane-6,1′-cyclopropa[l]phenanthren]-2-en-4-one (6):
The dibromo derivative 1 (Nguyen & Thamattoor, 2007
; 0.856 g, 2.45 mmol) was dissolved in THF (30 mL) in a 100 mL three-necked flask under argon atmosphere and stirred with a magnetic stir bar. The solution was cooled to 203 K, and n-BuLi (1.2 mL, 2.5 M in hexanes, 3.0 mmol) was added to the solution. The reaction was allowed to stir in a dry ice/acetone bath for 20 min, and tetracyclone (5, 0.940 g, 2.44 mmol) in THF (30 mL) was added to the solution slowly over 10 minutes. The solution was kept at 203 K for 2 h, and then allowed to warm to room temperature, where it stirred for the next 14 h. The reaction was quenched with H2O (30 mL), the organic layer separated, and the aqueous layer extracted with CH2Cl2 (3 × 30 mL). The combined organic layers were washed with brine (3 × 30 mL) and dried over anhydrous sodium sulfate. Adduct 6 was isolated as a yellow solid using silica-gel flash-column (0:100 →15:85 ethyl acetate:hexanes). The yield was 189 mg (13%); m.p.: decomposes at 492 K. 6: 1H NMR (500 MHz, CDCl3) δ: 8.02 (dd, J = 8.2, 1.3 Hz, 1H), 7.97 (dd, J = 8.2, 1.1 Hz, 1H), 7.49 (dd, J = 7.5, 1.4 Hz, 1H), 7.37–7.26 (m, 7H), 7.26–7.20 (m, 3H), 7.16 (ddd, J = 8.1, 7.2, 1.4 Hz, 1H), 7.13–7.03 (m, 8H), 6.89–6.80 (m, 2H), 6.72–6.67 (m, 2H), 6.37–6.28 (m, 2H), 4.00 (d, J = 8.5 Hz, 1H), 3.29 (d, J = 8.5 Hz, 1H). 13C NMR (126 MHz, CDCl3) δ: 200.1, 166.3, 135.3, 134.9, 134.4, 131.7 (2 carbon resonances), 131.3, 131.1, 131.0, 130.2 (2 carbon resonances), 129.8, 129.4, 129.2, 129.1, 128.8, 128.5, 128.1, 127.9, 127.8, 127.7 (2 carbon resonances), 127.4, 127.1, 127.0, 126.4, 126.1, 123.8, 123.3, 52.1, 49.0, 47.8, 29.5, 24.4. FTIR: ν 3064, 3031, 2987, 2924, 1697, 1597, 1489, 1446 cm−1.
6. Refinement
Crystal data, data collection and structure details are summarized in Table 4
. H atoms were positioned geometrically (C—H = 0.95 Å) and refined as riding with Uiso(H) = 1.2Ueq(C).
|
Supporting information
CCDC reference: 2357704
contains datablock I. DOI: https://doi.org/10.1107/S2056989025004414/yy2017sup1.cif
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2056989025004414/yy2017Isup2.hkl
| C44H30O | F(000) = 1208 |
| Mr = 574.68 | Dx = 1.249 Mg m−3 |
| Monoclinic, P21/n | Mo Kα radiation, λ = 0.71073 Å |
| a = 12.9873 (3) Å | Cell parameters from 9968 reflections |
| b = 13.2021 (3) Å | θ = 2.4–27.2° |
| c = 17.9100 (4) Å | µ = 0.07 mm−1 |
| β = 95.796 (1)° | T = 173 K |
| V = 3055.14 (12) Å3 | Prism, yellow |
| Z = 4 | 0.28 × 0.13 × 0.09 mm |
| Bruker D8 Quest Eco diffractometer | 4365 reflections with I > 2σ(I) |
| φ and ω scans | Rint = 0.059 |
| Absorption correction: multi-scan (SADABS; Krause et al., 2015) | θmax = 27.5°, θmin = 2.2° |
| Tmin = 0.676, Tmax = 0.746 | h = −16→16 |
| 67135 measured reflections | k = −17→17 |
| 6997 independent reflections | l = −23→23 |
| Refinement on F2 | Primary atom site location: dual |
| Least-squares matrix: full | Hydrogen site location: inferred from neighbouring sites |
| R[F2 > 2σ(F2)] = 0.066 | H-atom parameters constrained |
| wR(F2) = 0.208 | w = 1/[σ2(Fo2) + (0.0864P)2 + 2.5665P] where P = (Fo2 + 2Fc2)/3 |
| S = 1.05 | (Δ/σ)max < 0.001 |
| 6997 reflections | Δρmax = 0.22 e Å−3 |
| 406 parameters | Δρmin = −0.26 e Å−3 |
| 0 restraints |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
Refinement. A Bruker D8 Quest Eco diffractometer equipped with a graphite monochromated Mo Kα radiation (λ = 0.71073 Å) and PHOTON 50TM CMOS (complementary metal-oxide semiconductor) detector was used to collect X-ray diffraction data at 173 K with the Bruker Apex 4 suite of programs (Bruker, 2021a). Frames were integrated with a narrow-frame algorithm using the Bruker data reduction software package SAINT+ (Bruker, 2021b) and absorption effects were corrected with the multi-scan method SADABS (Krause et al., 2015). The Olex2 suite of programs (Dolomanov et al., 2009) was used to process data along with the Bruker SHELXTL software package (Sheldrick, 2015a; Sheldrick, 2015b) that was used to perform structure solution by and by full-matrix least-squares on F2. All nonhydrogen atoms were refined anisotropically with suggested weighting factors and the hydrogens were calculated on a riding model. All files were validated with the checkCIF/Platon facility of IUCr that was implemented through Olex 2 (Dolomanov et al., 2009). Hirshfeld surface analysis of the was performed with CrystalExplorer 21 (Spackman et al., 2021). |
| x | y | z | Uiso*/Ueq | ||
| O001 | 0.90530 (13) | 0.39534 (14) | 0.34553 (10) | 0.0470 (5) | |
| C002 | 0.82721 (17) | 0.46242 (18) | 0.22785 (13) | 0.0360 (5) | |
| C003 | 0.73177 (17) | 0.50140 (17) | 0.20571 (13) | 0.0349 (5) | |
| C004 | 0.67134 (17) | 0.52277 (17) | 0.27182 (13) | 0.0342 (5) | |
| C005 | 0.68714 (17) | 0.52698 (19) | 0.12910 (13) | 0.0373 (5) | |
| C006 | 0.74121 (17) | 0.48192 (18) | 0.34187 (13) | 0.0347 (5) | |
| C007 | 0.93075 (17) | 0.64488 (18) | 0.43201 (14) | 0.0367 (5) | |
| C008 | 0.55671 (18) | 0.50796 (18) | 0.26580 (13) | 0.0360 (5) | |
| C009 | 0.83527 (17) | 0.44040 (18) | 0.30974 (13) | 0.0361 (5) | |
| C00A | 0.91279 (18) | 0.65875 (18) | 0.35427 (14) | 0.0372 (5) | |
| C00B | 0.72863 (17) | 0.59389 (18) | 0.32690 (13) | 0.0348 (5) | |
| C00C | 0.69744 (17) | 0.42527 (18) | 0.40306 (13) | 0.0363 (5) | |
| C00D | 0.84858 (18) | 0.66656 (19) | 0.48151 (14) | 0.0392 (5) | |
| C00E | 0.91861 (18) | 0.45177 (19) | 0.18569 (14) | 0.0389 (5) | |
| C00F | 0.74928 (18) | 0.69608 (18) | 0.45090 (14) | 0.0397 (6) | |
| C00G | 0.71984 (18) | 0.69096 (18) | 0.36894 (14) | 0.0394 (6) | |
| H00G | 0.662510 | 0.737146 | 0.349010 | 0.047* | |
| C00H | 0.80606 (18) | 0.67516 (18) | 0.31804 (14) | 0.0382 (5) | |
| H00H | 0.799329 | 0.712636 | 0.269267 | 0.046* | |
| C00I | 0.99332 (19) | 0.6500 (2) | 0.30910 (15) | 0.0443 (6) | |
| H00I | 0.980666 | 0.662551 | 0.256753 | 0.053* | |
| C00J | 0.62300 (19) | 0.6107 (2) | 0.11655 (16) | 0.0455 (6) | |
| H00J | 0.607619 | 0.651789 | 0.157530 | 0.055* | |
| C00K | 0.99086 (19) | 0.3744 (2) | 0.20261 (15) | 0.0443 (6) | |
| H00K | 0.978384 | 0.324605 | 0.238898 | 0.053* | |
| C00L | 0.51446 (19) | 0.4207 (2) | 0.23360 (16) | 0.0469 (6) | |
| H00L | 0.558399 | 0.371015 | 0.215207 | 0.056* | |
| C00M | 1.03093 (19) | 0.61667 (19) | 0.46143 (15) | 0.0435 (6) | |
| H00M | 1.044917 | 0.605358 | 0.513853 | 0.052* | |
| C00N | 0.7123 (2) | 0.3207 (2) | 0.40888 (15) | 0.0455 (6) | |
| H00N | 0.750444 | 0.286924 | 0.373801 | 0.055* | |
| C00O | 0.7062 (2) | 0.4662 (2) | 0.06886 (15) | 0.0471 (6) | |
| H00O | 0.749142 | 0.408185 | 0.076928 | 0.057* | |
| C00P | 1.1094 (2) | 0.6051 (2) | 0.41576 (17) | 0.0495 (7) | |
| H00P | 1.176145 | 0.584513 | 0.436884 | 0.059* | |
| C00Q | 0.9405 (2) | 0.5246 (2) | 0.13299 (15) | 0.0471 (6) | |
| H00Q | 0.893362 | 0.578618 | 0.121319 | 0.057* | |
| C00R | 0.8679 (2) | 0.6652 (2) | 0.56008 (15) | 0.0501 (7) | |
| H00R | 0.933771 | 0.643692 | 0.582441 | 0.060* | |
| C00S | 0.6167 (2) | 0.3136 (2) | 0.51637 (17) | 0.0531 (7) | |
| H00S | 0.589290 | 0.275912 | 0.554995 | 0.064* | |
| C00T | 1.0806 (2) | 0.3700 (3) | 0.16678 (17) | 0.0546 (8) | |
| H00T | 1.128716 | 0.316743 | 0.178461 | 0.066* | |
| C00U | 0.6763 (2) | 0.7292 (2) | 0.49753 (16) | 0.0508 (7) | |
| H00U | 0.610890 | 0.752952 | 0.475946 | 0.061* | |
| C00V | 1.0918 (2) | 0.6230 (2) | 0.33956 (17) | 0.0503 (7) | |
| H00V | 1.146582 | 0.617041 | 0.308443 | 0.060* | |
| C00W | 0.6723 (2) | 0.2657 (2) | 0.46498 (16) | 0.0518 (7) | |
| H00W | 0.683118 | 0.194603 | 0.468139 | 0.062* | |
| C00X | 0.3432 (2) | 0.4758 (2) | 0.25384 (17) | 0.0546 (7) | |
| H00X | 0.270578 | 0.464929 | 0.249516 | 0.065* | |
| C00Y | 0.6408 (2) | 0.4715 (2) | 0.45488 (17) | 0.0503 (7) | |
| H00Y | 0.628858 | 0.542474 | 0.451848 | 0.060* | |
| C00Z | 1.0307 (2) | 0.5188 (3) | 0.09744 (16) | 0.0579 (8) | |
| H00Z | 1.044074 | 0.568314 | 0.061157 | 0.069* | |
| C010 | 0.49143 (19) | 0.5786 (2) | 0.29232 (18) | 0.0546 (7) | |
| H010 | 0.519450 | 0.638848 | 0.315118 | 0.066* | |
| C011 | 0.4082 (2) | 0.4046 (2) | 0.22776 (18) | 0.0562 (7) | |
| H011 | 0.380162 | 0.343944 | 0.205575 | 0.067* | |
| C012 | 0.5814 (2) | 0.6344 (3) | 0.04445 (18) | 0.0600 (8) | |
| H012 | 0.538405 | 0.692357 | 0.036096 | 0.072* | |
| C013 | 0.6020 (2) | 0.5748 (3) | −0.01504 (17) | 0.0641 (9) | |
| H013 | 0.574255 | 0.592251 | −0.064486 | 0.077* | |
| C014 | 0.6013 (2) | 0.4161 (2) | 0.51114 (18) | 0.0596 (8) | |
| H014 | 0.563129 | 0.449474 | 0.546430 | 0.072* | |
| C015 | 1.1006 (2) | 0.4419 (3) | 0.11442 (18) | 0.0631 (9) | |
| H015 | 1.162277 | 0.438423 | 0.090210 | 0.076* | |
| C016 | 0.6629 (2) | 0.4895 (3) | −0.00313 (17) | 0.0605 (8) | |
| H016 | 0.675212 | 0.446933 | −0.044060 | 0.073* | |
| C017 | 0.7935 (2) | 0.6942 (3) | 0.60555 (17) | 0.0597 (8) | |
| H017 | 0.808196 | 0.691085 | 0.658545 | 0.072* | |
| C018 | 0.6978 (2) | 0.7279 (3) | 0.57477 (17) | 0.0620 (8) | |
| H018 | 0.647520 | 0.749834 | 0.606197 | 0.074* | |
| C019 | 0.3849 (2) | 0.5628 (3) | 0.2862 (2) | 0.0664 (9) | |
| H019 | 0.340823 | 0.612518 | 0.304495 | 0.080* |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| O001 | 0.0373 (9) | 0.0563 (11) | 0.0461 (10) | 0.0146 (8) | −0.0020 (8) | 0.0044 (9) |
| C002 | 0.0304 (11) | 0.0369 (12) | 0.0402 (13) | −0.0005 (10) | 0.0010 (9) | −0.0003 (10) |
| C003 | 0.0314 (11) | 0.0352 (12) | 0.0373 (12) | −0.0014 (9) | 0.0001 (9) | 0.0014 (10) |
| C004 | 0.0310 (11) | 0.0353 (12) | 0.0356 (12) | 0.0042 (9) | −0.0009 (9) | 0.0029 (10) |
| C005 | 0.0304 (11) | 0.0418 (13) | 0.0390 (13) | −0.0037 (10) | 0.0002 (9) | 0.0032 (11) |
| C006 | 0.0286 (11) | 0.0377 (12) | 0.0370 (12) | 0.0014 (9) | 0.0000 (9) | 0.0027 (10) |
| C007 | 0.0319 (12) | 0.0330 (12) | 0.0441 (13) | −0.0017 (9) | −0.0022 (10) | 0.0012 (10) |
| C008 | 0.0323 (12) | 0.0382 (12) | 0.0371 (12) | 0.0015 (10) | 0.0012 (9) | 0.0046 (10) |
| C009 | 0.0317 (11) | 0.0357 (12) | 0.0399 (13) | 0.0020 (10) | −0.0015 (10) | −0.0014 (10) |
| C00A | 0.0342 (12) | 0.0330 (12) | 0.0430 (13) | −0.0026 (10) | −0.0022 (10) | 0.0012 (10) |
| C00B | 0.0281 (11) | 0.0357 (12) | 0.0399 (13) | 0.0014 (9) | 0.0001 (9) | 0.0033 (10) |
| C00C | 0.0295 (11) | 0.0384 (12) | 0.0402 (13) | 0.0009 (10) | 0.0001 (9) | 0.0044 (10) |
| C00D | 0.0359 (12) | 0.0382 (13) | 0.0427 (13) | 0.0010 (10) | −0.0003 (10) | 0.0012 (11) |
| C00E | 0.0326 (12) | 0.0439 (13) | 0.0399 (13) | −0.0033 (10) | 0.0028 (10) | −0.0065 (11) |
| C00F | 0.0365 (12) | 0.0375 (12) | 0.0442 (13) | 0.0018 (10) | 0.0004 (10) | −0.0032 (11) |
| C00G | 0.0336 (12) | 0.0363 (12) | 0.0467 (14) | 0.0038 (10) | −0.0040 (10) | −0.0002 (11) |
| C00H | 0.0354 (12) | 0.0374 (12) | 0.0406 (13) | −0.0023 (10) | −0.0026 (10) | 0.0037 (10) |
| C00I | 0.0372 (13) | 0.0483 (15) | 0.0476 (15) | −0.0062 (11) | 0.0051 (11) | −0.0003 (12) |
| C00J | 0.0386 (13) | 0.0461 (14) | 0.0511 (15) | 0.0003 (11) | 0.0013 (11) | 0.0094 (12) |
| C00K | 0.0366 (13) | 0.0476 (14) | 0.0475 (14) | −0.0002 (11) | −0.0017 (11) | −0.0115 (12) |
| C00L | 0.0348 (13) | 0.0476 (15) | 0.0581 (17) | −0.0007 (11) | 0.0039 (11) | −0.0070 (13) |
| C00M | 0.0363 (13) | 0.0430 (14) | 0.0484 (15) | 0.0015 (11) | −0.0085 (11) | −0.0030 (11) |
| C00N | 0.0510 (15) | 0.0408 (14) | 0.0443 (14) | 0.0008 (12) | 0.0030 (12) | 0.0018 (12) |
| C00O | 0.0433 (14) | 0.0518 (15) | 0.0456 (15) | −0.0032 (12) | 0.0010 (11) | −0.0044 (12) |
| C00P | 0.0329 (13) | 0.0477 (15) | 0.0666 (18) | 0.0032 (11) | −0.0019 (12) | −0.0044 (13) |
| C00Q | 0.0429 (14) | 0.0548 (16) | 0.0435 (14) | −0.0061 (12) | 0.0041 (11) | −0.0009 (12) |
| C00R | 0.0454 (15) | 0.0606 (17) | 0.0427 (14) | 0.0011 (13) | −0.0034 (12) | 0.0000 (13) |
| C00S | 0.0442 (15) | 0.0543 (17) | 0.0613 (18) | −0.0015 (13) | 0.0073 (13) | 0.0221 (14) |
| C00T | 0.0361 (14) | 0.0714 (19) | 0.0563 (17) | 0.0047 (13) | 0.0047 (12) | −0.0231 (16) |
| C00U | 0.0416 (14) | 0.0568 (17) | 0.0541 (16) | 0.0062 (13) | 0.0045 (12) | −0.0035 (14) |
| C00V | 0.0352 (13) | 0.0530 (16) | 0.0631 (18) | −0.0025 (12) | 0.0072 (12) | −0.0046 (14) |
| C00W | 0.0558 (16) | 0.0410 (14) | 0.0572 (17) | −0.0044 (13) | −0.0013 (13) | 0.0092 (13) |
| C00X | 0.0299 (13) | 0.0693 (19) | 0.0636 (18) | −0.0053 (13) | 0.0003 (12) | −0.0051 (15) |
| C00Y | 0.0439 (14) | 0.0451 (15) | 0.0647 (18) | 0.0092 (12) | 0.0189 (13) | 0.0135 (13) |
| C00Z | 0.0545 (17) | 0.077 (2) | 0.0432 (15) | −0.0217 (16) | 0.0113 (13) | −0.0096 (15) |
| C010 | 0.0306 (13) | 0.0502 (16) | 0.083 (2) | 0.0004 (12) | 0.0042 (13) | −0.0159 (15) |
| C011 | 0.0453 (15) | 0.0571 (17) | 0.0655 (19) | −0.0134 (13) | 0.0019 (13) | −0.0142 (15) |
| C012 | 0.0457 (16) | 0.070 (2) | 0.0627 (19) | 0.0026 (14) | −0.0038 (14) | 0.0263 (16) |
| C013 | 0.0500 (17) | 0.096 (3) | 0.0447 (16) | −0.0146 (17) | −0.0056 (13) | 0.0216 (17) |
| C014 | 0.0509 (16) | 0.0635 (19) | 0.069 (2) | 0.0114 (14) | 0.0278 (14) | 0.0161 (16) |
| C015 | 0.0399 (15) | 0.095 (3) | 0.0559 (18) | −0.0099 (16) | 0.0126 (13) | −0.0251 (18) |
| C016 | 0.0504 (16) | 0.087 (2) | 0.0432 (16) | −0.0170 (16) | 0.0014 (13) | −0.0077 (16) |
| C017 | 0.0592 (18) | 0.077 (2) | 0.0427 (15) | 0.0018 (16) | 0.0020 (13) | −0.0034 (15) |
| C018 | 0.0576 (18) | 0.077 (2) | 0.0524 (17) | 0.0048 (16) | 0.0122 (14) | −0.0103 (16) |
| C019 | 0.0315 (14) | 0.067 (2) | 0.101 (3) | 0.0034 (13) | 0.0082 (15) | −0.0238 (19) |
| O001—C009 | 1.214 (3) | C00M—H00M | 0.9500 |
| C002—C003 | 1.364 (3) | C00M—C00P | 1.378 (4) |
| C002—C009 | 1.489 (3) | C00N—H00N | 0.9500 |
| C002—C00E | 1.476 (3) | C00N—C00W | 1.383 (4) |
| C003—C004 | 1.512 (3) | C00O—H00O | 0.9500 |
| C003—C005 | 1.474 (3) | C00O—C016 | 1.388 (4) |
| C004—C006 | 1.568 (3) | C00P—H00P | 0.9500 |
| C004—C008 | 1.495 (3) | C00P—C00V | 1.381 (4) |
| C004—C00B | 1.503 (3) | C00Q—H00Q | 0.9500 |
| C005—C00J | 1.389 (4) | C00Q—C00Z | 1.390 (4) |
| C005—C00O | 1.387 (4) | C00R—H00R | 0.9500 |
| C006—C009 | 1.505 (3) | C00R—C017 | 1.380 (4) |
| C006—C00B | 1.508 (3) | C00S—H00S | 0.9500 |
| C006—C00C | 1.486 (3) | C00S—C00W | 1.380 (4) |
| C007—C00A | 1.400 (3) | C00S—C014 | 1.369 (4) |
| C007—C00D | 1.482 (3) | C00T—H00T | 0.9500 |
| C007—C00M | 1.404 (3) | C00T—C015 | 1.378 (5) |
| C008—C00L | 1.377 (4) | C00U—H00U | 0.9500 |
| C008—C010 | 1.376 (4) | C00U—C018 | 1.384 (4) |
| C00A—C00H | 1.486 (3) | C00V—H00V | 0.9500 |
| C00A—C00I | 1.390 (3) | C00W—H00W | 0.9500 |
| C00B—C00G | 1.496 (3) | C00X—H00X | 0.9500 |
| C00B—C00H | 1.490 (3) | C00X—C011 | 1.376 (4) |
| C00C—C00N | 1.396 (3) | C00X—C019 | 1.373 (4) |
| C00C—C00Y | 1.383 (4) | C00Y—H00Y | 0.9500 |
| C00D—C00F | 1.405 (3) | C00Y—C014 | 1.385 (4) |
| C00D—C00R | 1.404 (4) | C00Z—H00Z | 0.9500 |
| C00E—C00K | 1.399 (4) | C00Z—C015 | 1.375 (5) |
| C00E—C00Q | 1.396 (4) | C010—H010 | 0.9500 |
| C00F—C00G | 1.481 (3) | C010—C019 | 1.393 (4) |
| C00F—C00U | 1.396 (4) | C011—H011 | 0.9500 |
| C00G—H00G | 1.0000 | C012—H012 | 0.9500 |
| C00G—C00H | 1.528 (3) | C012—C013 | 1.373 (5) |
| C00H—H00H | 1.0000 | C013—H013 | 0.9500 |
| C00I—H00I | 0.9500 | C013—C016 | 1.380 (5) |
| C00I—C00V | 1.385 (4) | C014—H014 | 0.9500 |
| C00J—H00J | 0.9500 | C015—H015 | 0.9500 |
| C00J—C012 | 1.384 (4) | C016—H016 | 0.9500 |
| C00K—H00K | 0.9500 | C017—H017 | 0.9500 |
| C00K—C00T | 1.387 (4) | C017—C018 | 1.380 (4) |
| C00L—H00L | 0.9500 | C018—H018 | 0.9500 |
| C00L—C011 | 1.390 (4) | C019—H019 | 0.9500 |
| C003—C002—C009 | 109.4 (2) | C011—C00L—H00L | 119.7 |
| C003—C002—C00E | 129.9 (2) | C007—C00M—H00M | 119.3 |
| C00E—C002—C009 | 120.3 (2) | C00P—C00M—C007 | 121.3 (2) |
| C002—C003—C004 | 111.8 (2) | C00P—C00M—H00M | 119.3 |
| C002—C003—C005 | 128.2 (2) | C00C—C00N—H00N | 119.5 |
| C005—C003—C004 | 120.0 (2) | C00W—C00N—C00C | 121.0 (3) |
| C003—C004—C006 | 104.97 (18) | C00W—C00N—H00N | 119.5 |
| C008—C004—C003 | 120.7 (2) | C005—C00O—H00O | 119.8 |
| C008—C004—C006 | 120.30 (19) | C005—C00O—C016 | 120.5 (3) |
| C008—C004—C00B | 123.5 (2) | C016—C00O—H00O | 119.8 |
| C00B—C004—C003 | 111.65 (19) | C00M—C00P—H00P | 119.7 |
| C00B—C004—C006 | 58.78 (15) | C00M—C00P—C00V | 120.6 (2) |
| C00J—C005—C003 | 120.4 (2) | C00V—C00P—H00P | 119.7 |
| C00O—C005—C003 | 120.5 (2) | C00E—C00Q—H00Q | 119.6 |
| C00O—C005—C00J | 119.1 (2) | C00Z—C00Q—C00E | 120.7 (3) |
| C009—C006—C004 | 104.23 (18) | C00Z—C00Q—H00Q | 119.6 |
| C009—C006—C00B | 111.50 (19) | C00D—C00R—H00R | 119.3 |
| C00B—C006—C004 | 58.47 (14) | C017—C00R—C00D | 121.5 (3) |
| C00C—C006—C004 | 121.97 (19) | C017—C00R—H00R | 119.3 |
| C00C—C006—C009 | 119.0 (2) | C00W—C00S—H00S | 120.3 |
| C00C—C006—C00B | 125.6 (2) | C014—C00S—H00S | 120.3 |
| C00A—C007—C00D | 120.8 (2) | C014—C00S—C00W | 119.3 (3) |
| C00A—C007—C00M | 117.6 (2) | C00K—C00T—H00T | 119.6 |
| C00M—C007—C00D | 121.5 (2) | C015—C00T—C00K | 120.7 (3) |
| C00L—C008—C004 | 119.4 (2) | C015—C00T—H00T | 119.6 |
| C010—C008—C004 | 122.0 (2) | C00F—C00U—H00U | 119.6 |
| C010—C008—C00L | 118.5 (2) | C018—C00U—C00F | 120.9 (3) |
| O001—C009—C002 | 126.2 (2) | C018—C00U—H00U | 119.6 |
| O001—C009—C006 | 124.8 (2) | C00I—C00V—H00V | 120.4 |
| C002—C009—C006 | 109.06 (19) | C00P—C00V—C00I | 119.1 (3) |
| C007—C00A—C00H | 120.5 (2) | C00P—C00V—H00V | 120.4 |
| C00I—C00A—C007 | 120.5 (2) | C00N—C00W—H00W | 119.9 |
| C00I—C00A—C00H | 118.8 (2) | C00S—C00W—C00N | 120.3 (3) |
| C004—C00B—C006 | 62.75 (15) | C00S—C00W—H00W | 119.9 |
| C00G—C00B—C004 | 143.8 (2) | C011—C00X—H00X | 120.4 |
| C00G—C00B—C006 | 139.7 (2) | C019—C00X—H00X | 120.4 |
| C00H—C00B—C004 | 132.4 (2) | C019—C00X—C011 | 119.1 (2) |
| C00H—C00B—C006 | 131.5 (2) | C00C—C00Y—H00Y | 119.5 |
| C00H—C00B—C00G | 61.54 (16) | C00C—C00Y—C014 | 121.1 (3) |
| C00N—C00C—C006 | 119.5 (2) | C014—C00Y—H00Y | 119.5 |
| C00Y—C00C—C006 | 122.8 (2) | C00Q—C00Z—H00Z | 119.8 |
| C00Y—C00C—C00N | 117.7 (2) | C015—C00Z—C00Q | 120.4 (3) |
| C00F—C00D—C007 | 120.5 (2) | C015—C00Z—H00Z | 119.8 |
| C00R—C00D—C007 | 122.0 (2) | C008—C010—H010 | 119.5 |
| C00R—C00D—C00F | 117.3 (2) | C008—C010—C019 | 120.9 (3) |
| C00K—C00E—C002 | 121.0 (2) | C019—C010—H010 | 119.5 |
| C00Q—C00E—C002 | 120.6 (2) | C00L—C011—H011 | 119.7 |
| C00Q—C00E—C00K | 118.1 (2) | C00X—C011—C00L | 120.5 (3) |
| C00D—C00F—C00G | 120.6 (2) | C00X—C011—H011 | 119.7 |
| C00U—C00F—C00D | 120.4 (2) | C00J—C012—H012 | 119.8 |
| C00U—C00F—C00G | 119.0 (2) | C013—C012—C00J | 120.4 (3) |
| C00B—C00G—H00G | 115.7 | C013—C012—H012 | 119.8 |
| C00B—C00G—C00H | 59.01 (16) | C012—C013—H013 | 120.0 |
| C00F—C00G—C00B | 120.8 (2) | C012—C013—C016 | 120.1 (3) |
| C00F—C00G—H00G | 115.7 | C016—C013—H013 | 120.0 |
| C00F—C00G—C00H | 117.8 (2) | C00S—C014—C00Y | 120.6 (3) |
| C00H—C00G—H00G | 115.7 | C00S—C014—H014 | 119.7 |
| C00A—C00H—C00B | 117.3 (2) | C00Y—C014—H014 | 119.7 |
| C00A—C00H—C00G | 117.8 (2) | C00T—C015—H015 | 120.2 |
| C00A—C00H—H00H | 116.7 | C00Z—C015—C00T | 119.6 (3) |
| C00B—C00H—C00G | 59.44 (16) | C00Z—C015—H015 | 120.2 |
| C00B—C00H—H00H | 116.7 | C00O—C016—H016 | 120.1 |
| C00G—C00H—H00H | 116.7 | C013—C016—C00O | 119.8 (3) |
| C00A—C00I—H00I | 119.6 | C013—C016—H016 | 120.1 |
| C00V—C00I—C00A | 120.8 (3) | C00R—C017—H017 | 119.7 |
| C00V—C00I—H00I | 119.6 | C00R—C017—C018 | 120.6 (3) |
| C005—C00J—H00J | 119.9 | C018—C017—H017 | 119.7 |
| C012—C00J—C005 | 120.2 (3) | C00U—C018—H018 | 120.4 |
| C012—C00J—H00J | 119.9 | C017—C018—C00U | 119.1 (3) |
| C00E—C00K—H00K | 119.8 | C017—C018—H018 | 120.4 |
| C00T—C00K—C00E | 120.5 (3) | C00X—C019—C010 | 120.2 (3) |
| C00T—C00K—H00K | 119.8 | C00X—C019—H019 | 119.9 |
| C008—C00L—H00L | 119.7 | C010—C019—H019 | 119.9 |
| C008—C00L—C011 | 120.7 (3) | ||
| C002—C003—C004—C006 | −4.7 (3) | C009—C006—C00C—C00N | −26.6 (3) |
| C002—C003—C004—C008 | −144.7 (2) | C009—C006—C00C—C00Y | 154.2 (2) |
| C002—C003—C004—C00B | 57.2 (3) | C00A—C007—C00D—C00F | 3.5 (4) |
| C002—C003—C005—C00J | −143.8 (3) | C00A—C007—C00D—C00R | −172.2 (2) |
| C002—C003—C005—C00O | 38.0 (4) | C00A—C007—C00M—C00P | 1.3 (4) |
| C002—C00E—C00K—C00T | −174.8 (2) | C00A—C00I—C00V—C00P | −0.1 (4) |
| C002—C00E—C00Q—C00Z | 175.0 (2) | C00B—C004—C006—C009 | −106.7 (2) |
| C003—C002—C009—O001 | 171.5 (2) | C00B—C004—C006—C00C | 114.9 (3) |
| C003—C002—C009—C006 | −7.7 (3) | C00B—C004—C008—C00L | −158.5 (2) |
| C003—C002—C00E—C00K | −151.5 (3) | C00B—C004—C008—C010 | 20.7 (4) |
| C003—C002—C00E—C00Q | 34.9 (4) | C00B—C006—C009—O001 | 124.0 (3) |
| C003—C004—C006—C009 | −0.2 (2) | C00B—C006—C009—C002 | −56.8 (2) |
| C003—C004—C006—C00B | 106.5 (2) | C00B—C006—C00C—C00N | 177.9 (2) |
| C003—C004—C006—C00C | −138.6 (2) | C00B—C006—C00C—C00Y | −1.4 (4) |
| C003—C004—C008—C00L | 46.1 (3) | C00B—C00G—C00H—C00A | −106.9 (2) |
| C003—C004—C008—C010 | −134.7 (3) | C00C—C006—C009—O001 | −34.8 (3) |
| C003—C004—C00B—C006 | −94.8 (2) | C00C—C006—C009—C002 | 144.4 (2) |
| C003—C004—C00B—C00G | 126.7 (3) | C00C—C006—C00B—C004 | −109.0 (2) |
| C003—C004—C00B—C00H | 27.8 (3) | C00C—C006—C00B—C00G | 33.8 (4) |
| C003—C005—C00J—C012 | 179.9 (2) | C00C—C006—C00B—C00H | 127.2 (3) |
| C003—C005—C00O—C016 | 179.1 (2) | C00C—C00N—C00W—C00S | 0.0 (4) |
| C004—C003—C005—C00J | 33.2 (3) | C00C—C00Y—C014—C00S | −0.6 (5) |
| C004—C003—C005—C00O | −145.0 (2) | C00D—C007—C00A—C00H | −12.4 (3) |
| C004—C006—C009—O001 | −174.7 (2) | C00D—C007—C00A—C00I | 172.3 (2) |
| C004—C006—C009—C002 | 4.5 (2) | C00D—C007—C00M—C00P | −174.4 (2) |
| C004—C006—C00B—C00G | 142.8 (3) | C00D—C00F—C00G—C00B | 55.7 (3) |
| C004—C006—C00B—C00H | −123.9 (3) | C00D—C00F—C00G—C00H | −13.0 (3) |
| C004—C006—C00C—C00N | 106.0 (3) | C00D—C00F—C00U—C018 | −3.9 (4) |
| C004—C006—C00C—C00Y | −73.2 (3) | C00D—C00R—C017—C018 | −1.4 (5) |
| C004—C008—C00L—C011 | 179.5 (3) | C00E—C002—C003—C004 | −165.0 (2) |
| C004—C008—C010—C019 | −179.8 (3) | C00E—C002—C003—C005 | 12.2 (4) |
| C004—C00B—C00G—C00F | 130.1 (3) | C00E—C002—C009—O001 | −15.0 (4) |
| C004—C00B—C00G—C00H | −124.0 (4) | C00E—C002—C009—C006 | 165.8 (2) |
| C004—C00B—C00H—C00A | −113.8 (3) | C00E—C00K—C00T—C015 | 0.5 (4) |
| C004—C00B—C00H—C00G | 138.5 (3) | C00E—C00Q—C00Z—C015 | −0.9 (4) |
| C005—C003—C004—C006 | 177.9 (2) | C00F—C00D—C00R—C017 | −1.7 (4) |
| C005—C003—C004—C008 | 37.8 (3) | C00F—C00G—C00H—C00A | 4.2 (3) |
| C005—C003—C004—C00B | −120.2 (2) | C00F—C00G—C00H—C00B | 111.1 (2) |
| C005—C00J—C012—C013 | 0.9 (4) | C00F—C00U—C018—C017 | 0.7 (5) |
| C005—C00O—C016—C013 | 1.1 (4) | C00G—C00B—C00H—C00A | 107.8 (2) |
| C006—C004—C008—C00L | −88.0 (3) | C00G—C00F—C00U—C018 | 175.1 (3) |
| C006—C004—C008—C010 | 91.3 (3) | C00H—C00A—C00I—C00V | −172.5 (2) |
| C006—C004—C00B—C00G | −138.4 (4) | C00H—C00B—C00G—C00F | −106.0 (2) |
| C006—C004—C00B—C00H | 122.6 (3) | C00I—C00A—C00H—C00B | 115.6 (3) |
| C006—C00B—C00G—C00F | 15.8 (4) | C00I—C00A—C00H—C00G | −176.4 (2) |
| C006—C00B—C00G—C00H | 121.7 (3) | C00J—C005—C00O—C016 | 0.9 (4) |
| C006—C00B—C00H—C00A | −24.9 (4) | C00J—C012—C013—C016 | 1.2 (5) |
| C006—C00B—C00H—C00G | −132.7 (3) | C00K—C00E—C00Q—C00Z | 1.3 (4) |
| C006—C00C—C00N—C00W | −179.8 (2) | C00K—C00T—C015—C00Z | −0.1 (4) |
| C006—C00C—C00Y—C014 | 180.0 (3) | C00L—C008—C010—C019 | −0.6 (5) |
| C007—C00A—C00H—C00B | −59.7 (3) | C00M—C007—C00A—C00H | 171.9 (2) |
| C007—C00A—C00H—C00G | 8.3 (3) | C00M—C007—C00A—C00I | −3.4 (4) |
| C007—C00A—C00I—C00V | 2.8 (4) | C00M—C007—C00D—C00F | 179.1 (2) |
| C007—C00D—C00F—C00G | 9.5 (4) | C00M—C007—C00D—C00R | 3.4 (4) |
| C007—C00D—C00F—C00U | −171.6 (2) | C00M—C00P—C00V—C00I | −2.0 (4) |
| C007—C00D—C00R—C017 | 174.1 (3) | C00N—C00C—C00Y—C014 | 0.7 (4) |
| C007—C00M—C00P—C00V | 1.3 (4) | C00O—C005—C00J—C012 | −1.9 (4) |
| C008—C004—C006—C009 | 140.1 (2) | C00Q—C00E—C00K—C00T | −1.1 (4) |
| C008—C004—C006—C00B | −113.2 (2) | C00Q—C00Z—C015—C00T | 0.3 (4) |
| C008—C004—C006—C00C | 1.7 (3) | C00R—C00D—C00F—C00G | −174.6 (2) |
| C008—C004—C00B—C006 | 107.8 (2) | C00R—C00D—C00F—C00U | 4.4 (4) |
| C008—C004—C00B—C00G | −30.6 (5) | C00R—C017—C018—C00U | 2.0 (5) |
| C008—C004—C00B—C00H | −129.6 (3) | C00U—C00F—C00G—C00B | −123.3 (3) |
| C008—C00L—C011—C00X | 0.2 (5) | C00U—C00F—C00G—C00H | 168.0 (2) |
| C008—C010—C019—C00X | 0.4 (5) | C00W—C00S—C014—C00Y | 0.1 (5) |
| C009—C002—C003—C004 | 7.7 (3) | C00Y—C00C—C00N—C00W | −0.5 (4) |
| C009—C002—C003—C005 | −175.1 (2) | C010—C008—C00L—C011 | 0.3 (4) |
| C009—C002—C00E—C00K | 36.5 (3) | C011—C00X—C019—C010 | 0.1 (5) |
| C009—C002—C00E—C00Q | −137.1 (2) | C012—C013—C016—C00O | −2.2 (5) |
| C009—C006—C00B—C004 | 93.9 (2) | C014—C00S—C00W—C00N | 0.2 (4) |
| C009—C006—C00B—C00G | −123.3 (3) | C019—C00X—C011—C00L | −0.4 (5) |
| C009—C006—C00B—C00H | −30.0 (3) |
| Entry number | Site 1 | Site 2 | Distance |
| 1 | O1 | Centroid A | 3.472 (2) |
| 2 | O1 | C40 | 2.905 (3) |
| 3 | C2 | H26 | 2.562 (2) |
| 4 | O1 | H40 | 2.4051 (18) |
| 5 | H6 | H9 | 2.05002 (4) |
| Entry number | Color of ring | Angle |
| 1 | Green | 57.29 (9) |
| 2 | Blue | 73.67 (10) |
| 3 | Magenta | 35.06 (9) |
| 4 | Orange | 39.71 (9) |
| Entry number | Site 1 | Site 2 | Symmetry operation | Distance |
| 1 | O1 | H6 | 2 - x, 1 - y, 1 - z | 2.3977 (16) |
| 2 | O1 | H9 | 2 - x, 1 - y, 1 - z | 2.5362 (18) |
| 3 | C40 | H1 | 3/2 - x, -1/2 + y, 1/2 - z | 2.782 (3) |
| 4 | H24 | C41 | -1/2 + x, 1/2 - y, 1/2 + z | 2.790 (3) |
Acknowledgements
The authors thank Drs Steven Kelley and Joseph Riebenspies for helpful discussions regarding manuscript preparation and formatting of the file. Dr Maksym Seredyuk is gratefully acknowledged for his advice regarding the presentation of Fig. 6
. The authors declare no competing financial interest. All authors have given approval to the final version of the manuscript.
Funding information
Funding for this research was provided by: National Science Foundation, Directorate for Mathematical and Physical Sciences (grant No. CHE-2400007 to DMT).
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