Robert Łyseka, Piotr Krajewskia, Zofia Urbańczyk-Lipkowskaa, Bartłomiej Furmana, Zbigniew Kałużaa, Lech Kozerskib and Marek Chmielewski*a
aInstitute of Organic Chemistry, Polish Academy of Sciences, 01-224, Kasprzaka, Warsaw, 44/52, Poland. E-mail: chmiel@ichf.edu.pl
bDrug Institute, 00-725, Chełmska, Warsaw, 30/34, Poland
First published on UnassignedUnassigned23rd December 1999
A comparison of steady-state NOE coefficients measured for 3-O-allenyl-substituted furanoses in [2H8]toluene solution with conformations generated by a molecular mechanics program allowed characterisation of the most favourable ground state conformations. The geometry assigned from NOE coefficients corresponds well to that obtained by X-ray structure analysis of allene 1.
6 are particularly interesting. Despite the synthetic usefulness of alkoxyallenes there is little information on their conformation.7Recently, we initiated a synthetic project aimed at transforming chiral vinyl ethers derived from sugars and from readily available hydroxy acids into clavams and 5-dethia-5-oxacephams.†
8,9 The crucial step of the synthesis involved a highly exothermic [2 + 2]cycloaddition of vinyl ethers and isocyanates. We have proposed a stereochemical model of the transition state for [2 + 2]cycloaddition of chlorosulfonyl isocyanate to vinyl ethers, based on the lowest energy ground-state conformation derived from nuclear Overhauser effect (NOE) coefficients.10 This conformation agreed well with the experimental facts and provided a sound explanation of the direction of asymmetric induction.
Application of the NOE method, successfully performed for chiral vinyl ethers, to chiral alkoxyallenes should make it possible to ascribe the most favourable ground-state conformation of these cumulenes. Consequently, it would be reasonable to use the ground-state conformation of alkoxyallenes to reflect their conformation in the transition state of a variety of exothermic reactions such as [2 + 2]cycloaddition to chlorosulfonyl isocyanate.
gem Dimethyl-substituted alkoxyallenes 1–3 were chosen as they are more stable than unsubstituted congeners in the presence of strong electrophiles such as chlorosulfonyl isocyanate.
11 provided information about the location of the allene fragment in relation to the rigid bicyclic ring system. As evidenced from the analysis of intracyclic torsion angles both the furanoid and the dioxolane ring adopt the twist conformation shown in Fig. 1 along with the crystallographic labelling scheme. Large substituents located at the C4 and C3 atoms are both placed on the same side of the furanoid moiety. The linear allene fragment points outwards from the ring system, perhaps due to steric overcrowding of the trityl group, and it is located below the ring system in close proximity to the hydrogen atom attached to the C3 carbon. Two torsion angles define the spatial location of the former: C1′–O3–C3–C2 and C2′–C1′–O3–C3 being −90.6(3) and 15.5(6)°, respectively.![]() | ||
| Fig. 1 X-Ray molecular structure of compound 1. | ||
The geometry of the crystal-state conformation of 1 was used by us as a base for determination of possible conformations in solution not only for 1 but also for the related compounds 2 and 3.
Conformation analysis of allenes 1 and 2 in solution was based on steady-state nuclear Overhauser effects (NOEs) and molecular modelling. For both compounds the analysis was done in the same way, in several steps. The first step involved generation of a set of low-energy conformers by near-random rotations around all rotatable exocyclic bonds (cf. Experimental). Then, for each conformer from the set, theoretical steady-state NOEs were calculated (scaled using an external relaxation parameter
12) using the recently reported computer program NOE.13 As a measure of fit of calculated to experimental NOEs, root-mean-square deviation factors rmsNOE were used (for definition see Experimental). Finally, the statistical test was applied to assess if the conformation with the lowest rmsNOE factor was significantly better fitted to the NOE data than any other conformer from the set. In this approach computed energies of individual conformers were ignored and all structures from the conformational set were treated as equally probable.
Proton NMR spectral assignments for 1 and 2 were accomplished by means of chemical shifts, coupling patterns and qualitative analysis of NOEs. The signal assignments for 3 required few additional decoupling experiments.
Table 1 shows steady-state NOEs measured for 1. Parameters of low-energy conformers of 1 generated by the computer program PCMODEL
14 are presented in Table 2, entry 1. The lowest value of rmsNOE = 0.206. On the basis of statistical analysis (at a 10% significance level) of the values of the rmsNOE factors, we can assume that all conformers given in bold in Table 2 (entry 1) including the X-ray conformation, are equally well fitted to the data (for details of statistical calculations see Experimental). All best-fitted conformers are s-cis type (or (±)sp according to Klyne–Prelog notation) around the C1′–O3 bond (torsion angle C2′–C1′–O3–C3 of 0 ± 30°). Furthermore, the best fitted conformers have the same sign of torsion angle C1′–O3–C3–C2 and all values, with one exception, amount to ca.
−90°.
| Observed proton | |||||
|---|---|---|---|---|---|
| Irradiated proton | H-1′ | H-1 | H-4 | H-2 | H-3 |
| H-1′ | −0.2 (0.0) | −0.4 (0.0) | 1.2 (1.1) | 1.9 (0.9) | |
| H-1 | −0.2 (0.0) | 0.4 (0.9) | 11.6 (13.5) | −0.5 (−0.3) | |
| H-4 | −0.9 (0.0) | 0.9 (1.2) | −0.8 (0.2) | 13.6 (11.1) | |
| H-2 | 2.6 (1.5) | 16.0 (16.4) | 0.3 (0.2) | 1.4 (4.3) | |
| H-3 | 4.1 (1.5) | −0.8 (−0.4) | 11.3 (11.5) | 3.9 (5.1) | |
| Torsion angle/° | |||||
|---|---|---|---|---|---|
Energy a/kcal mol−1 | C2′–C1′–O3–C3 | C1′–O3–C3–C2 | Type of conformation | d(H-3, H-1′)/Å | rmsNOE b |
| a Calculated for minimised structures using MM3 force field.b For definition see Experimental. c The model was obtained by replacement of trityloxy group by a hydrogen atom in the X-ray structure of 1. | |||||
| Entry 1: allene 1 | |||||
| 60.18 | 0.62 | −149.29 | (±)sp(−)ac | 3.67 | 0.258 |
| 62.18 | −24.92 | −95.31 | (±)sp(−)sc | 3.69 | 0.211 |
| 63.96 | −9.10 | −88.77 | (±)sp(−)sc | 3.69 | 0.206 |
| 65.57 | −178.90 | −81.64 | (±)ap(−)sc | 2.54 | 0.453 |
| X-ray | 15.5 | −90.6 | (±)sp(−)sc | 3.40 | 0.239 |
| Entry 2: allene | |||||
| −19.92 | −5.38 | −73.70 | (±)sp(−)sc | 3.74 | 0.261 |
| −19.09 | 168.21 | −75.60 | (±)ap(−)sc | 2.51 | 0.439 |
| −18.86 | −1.89 | −155.26 | (±)sp(−)ac | 3.69 | 0.299 |
| −18.64 | −153.92 | −163.31 | (±)ap(±)ap | 2.42 | 0.540 |
| −18.54 | 168.33 | −156.87 | (±)sp(−)ac | 2.49 | 0.460 |
| −18.34 | 134.30 | −66.63 | (+)ac(−)sc | 2.61 | 0.360 |
| −17.95 | −18.36 | −118.56 | (±)sp(−)sc | 3.65 | 0.272 |
| −15.68 | 42.87 | −79.01 | (+)sc(−)sc | 3.39 | 0.241 |
| −14.39 | −131.84 | −118.21 | (−)ac(−)sc | 2.56 | 0.393 |
| −14.35 | 56.59 | −156.04 | (+)sc(±)ap | 3.55 | 0.291 |
| c | 15.5 | −90.6 | (±)sp(−)sc | 3.40 | 0.292 |
In order to verify our conformational analysis of 1 based on the steady-state NOEs, we have run a series of one-dimensional transient DPFGSE NOE (double-pulsed-field gradient spin echo)
15 experiments for the same sample. The signal of the H3 proton was inverted by a selective π-pulse and the fractional enhancements of the H1′ and H4 were observed as a function of mixing time (Table 3). Assuming rigidity of the furanoid ring, the distance between the H4 and H3 protons of ca. 2.40 Å can be used for estimation of the distance between H1′ and H3 which is clearly different for the s-cis and the s-trans conformers (Table 2). For the s-trans conformers the distance between H1′ and H3 is expected to be around 2.50 Å. Therefore using two-spin-approximation the ratio of transient NOEs H4{H3} to H1′{H3} should be around 1. Experiment shows that for all mixing times applied, this ratio is about 5 (Table 3), corresponding to a distance between H1′ and H3 of around 3.2 Å. These findings unequivocally testify to the s-cis conformation of 1 in solution and are in agreement with the steady-state NOE data.
| Allene 1 | Allene 2 | Allene 3 | ||||
|---|---|---|---|---|---|---|
| Mixing time/ms | H-4{H-3} | H-1′{H-3} | H-4{H-3} | H-1′{H-3} | H-4{H-3} | H-1′{H-3} |
| 500 | 2.6 | 0.5 | 1.3 | 0.4 | 1.9 | 0.4 |
| 750 | 2.0 | 0.5 | 2.9 | 0.5 | ||
| 1000 | 4.0 | 0.7 | 2.4 | 0.6 | 3.6 | 0.6 |
| 1500 | 4.4 | 0.9 | ||||
| 2000 | 4.3 | 0.9 | ||||
A similar conformational analysis was done for compound 2 on the basis of the crystallographic data found for 1 and of the same assumptions as used for 1. The same sequence of experiments and calculations was applied. The results for 2 are presented in Tables 2–4. The conformational space modelled by PCMODEL for allene 2 is more diverse than for allene 1. In particular, the torsion around the C1′–O3 bond in the majority of conformations is of the s-cis type (torsion angle C2′–C1′–O3–C3 of 0 ± 20°) but few have (+)sc type conformation including the one with the lowest rmsNOE. In the majority of cases the torsion around the O3–C3 bond is of (−)sc type having values of ca. −80° but some have this torsion of ca. −160°. However, all these conformations have the rmsNOE values lying inside the 10% significance interval for the lowest rmsNOE value (0.189, 0.337) and hence they cannot be treated as different models. Therefore the same arguments, as deduced for 1 (Table 2, entry 2), lead us to the conclusion that the preferred conformation of 2 is also s-cis, being locally isostructural with the X-ray conformation of 1. The ratio of transient NOEs H4{H3} to H1′{H3} in the case of 2 is about 4 (Table 3) which is again in accordance with the s-cis model.
| Observed proton | |||||
|---|---|---|---|---|---|
| Irradiated proton | H-1′ | H-1 | H-2 | H-4 | H-3 |
| a Direct saturation due to nonselective irradiation. These values were omitted in calculation of rmsNOE. | |||||
| H-1′ | 0.1 (0.5) | 1.1 (0.5) | 0.1 (−0.1) | 2.2 (1.6) | |
| H-1 | −1.0 (0.1) | 9.9 (11.4) | −0.2 (0.8) | −1.0 (−0.2) | |
| H-2 | 2.2 (0.8) | 14.5 (14.0) | −4.7 a (0.2) | 3.8 (4.5) | |
| H-4 | −1.5 (−0.1) | 0.3 (0.9) | −5.0 a (0.2) | 14.9 (11.1) | |
| H-3 | 5.1 (2.5) | −2.2 (−0.2) | 2.7 (4.0) | 9.5 (11.0) | |
The assumption of rigidity of the furanoid ring cannot be directly transferred from 1 and 2 to 3 since in this case the dioxolane ring was removed and the conformational behaviour of the furanoid ring has obviously changed. However, the distance between the H-3 and H-4 protons in 3 is not sensitive to changes of conformation of the five-membered ring and therefore it can be used as a calibration distance. The ratio of transient NOEs H4{H3} to H1′{H3} in the case of 3 is about 5 (Table 3) testifying to the s-cis conformation around the C1′–O3 bond. The steady-state NOE data for 3 are presented in Table 5 and are compared to NOEs calculated for the model built on the basis of the X-ray geometry of 1 by deleting the dioxolane ring atoms. It must be stressed that the ‘real’ conformation of the five-membered ring in 3 was not assigned and the torsion angle C1′–O–C3–C2 which was taken from compounds 1 and 2, most likely does not reflect the true value.
| Observed proton | |||||||
|---|---|---|---|---|---|---|---|
| Irradiated proton | H-1′ | H-3 | H-4 | H-1 | H-1 | H-2 | |
| a Direct saturation due to nonselective irradiation. These values were omitted in calculation of rmsNOE. | |||||||
| H-1′ | 1.7 (1.3) | −0.1 (−0.1) | 0.1 (0.0) | 0.0 (0.2) | 0.7 (0.0) | ||
| H-3 | 5.5 (3.3) | 13.0 (13.1) | 0.1 (−0.5) | −0.2 (0.4) | 1.1 (5.0) | ||
| H-4 | −0.5 (−0.2) | 13.6 (13.3) | −1.4 a (1.0) | 2.0 (0.3) | −0.4 (2.8) | ||
| H-1 | 0.5 (−0.1) | 0.4 (−0.7) | −1.9 a (1.3) | 27.3 (26.5) | 5.8 (9.7) | ||
| H-1 | −0.2 (0.6) | −0.2 (0.5) | 3.1 (0.4) | 30.0 (26.4) | −1.3 (−1.1) | ||
| H-2 | 3.2 (0.1) | 2.6 (7.3) | 0.2 (4.1) | 6.4 (11.2) | 0.3 (−1.2) | ||
Our NOE studies on compounds 1–3 show with high confidence that the s-cis conformation should dominate in solution. We cannot rigorously exclude the possibility that studied molecules exist in solution as conformational mixtures of the s-cis and s-trans conformers. However, low rmsNOE factors for the s-cis models together with DPFGSE NOE results provide sound evidence that the presence of the s-trans conformer in solution is negligible in modelling ground-state conformations of studied molecules.
NOE studies performed on chiral vinyl ethers led us to the assignment of the lowest energy conformation which corresponded to the conformation in which the plane consists of the s-trans vinyl group, the stereogenic centre, and the methyl substituent antiperiplanar to the C1′–O bond (Fig. 2). The ligand bearing an electronegative group was located out of plane, synclinal to C1′ of the vinyl group. The torsion angle C1′–O–C1–C2 of ca. 75° was explained in terms of the stereoelectronic interaction of the conjugated π electrons of the double bond, and the lone pair of electrons of the oxygen atom, from one side and the antibonding σ*-orbital of the C1–C2 bond from the other side. For compounds 1 and 2 we observe the steric arrangement which allows similar stereoelectronic interaction between the π electrons of the vinyloxy fragment and the σ*-orbital of the C3–C2 bond (Fig. 2); in both cases the C3–C4 bond, bearing the furanoid ring-oxygen atom does not display a similar arrangement.
![]() | ||
| Fig. 2 Illustration of stereoelectronic effects operating in vinyl and allenyl ethers. | ||
1,2-O-Isopropylidene-5-O-trityl-α-D-xylofuranose (4) was obtained according to the known procedure (72%).16
5-Deoxy-1,2-O-isopropylidene-D-xylofuranose (5) was obtained from 1,2-O-isopropylidene-5-O-tosyl-α-D-xylofuranose
17 according to the literature procedure (78%).18
19 (10 g, 53.70 mmol) in anhydrous ethanol (400 cm3) was hydrogenated over 10% palladium on activated charcoal (50 mg of catalyst per 1 g; FLUKA) for 6 h. Subsequently, the solution was passed through Florisil and evaporated. The residue was purified on a silica gel column using hexane–ethyl acetate 1∶1 v/v as an eluent to afford 6 as an oil (8.8 g, 87%) (Found: C, 57.27; H, 8.71. C9H16O4 requires C, 57.43; H, 8.57%); [α]D
−26.1 (0.74 in CH2Cl2); νmax (CH2Cl2)/cm−1 3589 (OH); δH (500 MHz, CDCl3 + D2O) 1.36, 1.43 (2s, 6H, isoprop.); 1.99 (dddd, 1H, J 1.7, 3.9, 6.7 and 13.3, H-2a); 2.14 (dddd, 1H, J 5.5, 8.8, 8.8 and 13.3, H-2b); 3.66 (dd, 1H, J 3.8 and 8.4, H-4); 3.82–3.86 (m, 1H, H-1a); 3.96 (dd, 1H, J 5.2 and 8.5, H-6a); 4.01–4.06 (m, 1H, H-1b); 4.16 (dd, 1H, J 6.2 and 8.5, H-6b); 4.28 (ddd, 1H, J 5.2, 6.2 and 8.5, H-5); 4.50 (ddd, 1H, J 1.7, 3.8 and 5.4, H-3) [Found: HRMS (EI) m/z (M − CH3)+, 173.0827. C8H13O4 requires 173.0814].
C), 3269 (H–C
); δH (200 MHz, CDCl3) 1.32, 1.54 (2s, 6H, isoprop.); 2.35 (t, 1H, J 2.4, H–C
); 3.25 (dd, 1H, J 7.6 and 9.1, H-5a); 3.48 (dd, 1H, J 5.5 and 9.1, H-5b); 4.05 (dd, 1H, J 2.4 and 16.0, H-1′a); 4.15 (dd, 1H, J 2.4 and 16.0, H-1′b); 4.17 (d, 1H, J 3.0, H-3); 4.37 (ddd, 1H, J 3.0, 5.5 and 7.6, H-4); 4.60 (d, 1H, J 3.8, H-2); 5.84 (d, 1H, J 3.8, H-1) [Found: HRMS (EI) m/z M+, 470.2068. C30H30O5 requires 470.2093].
C), 3270 (H–C
); δH (200 MHz, CDCl3) 1.30 (d, 3H, J 6.4, Me); 1.32, 1.50 (2s, 6H, isoprop.); 2.46 (t, 1H, J 2.4, H–C
); 3.90 (d, 1H, J 3.0, H-3); 4.21 (dd, 1H, J 2.4 and 16.0, H-1′a); 4.28 (dd, 1H, J 2.4 and 16.0, H-1′b); 4.36 (dq, 1H, J 3.0 and 6.4, H-4); 4.61 (d, 1H, J 3.8, H-2); 5.88 (d, 1H, J 3.8, H-1) [Found: HRMS (EI) m/z (M − CH3)+, 197.0833. C10H13O4 requires 197.0814].
C), 3303 (H–C
); δH (500 MHz, CDCl3) 1.36, 1.43 (2s, 6H, isoprop.); 2.01–2.14 (m, 2H, H-2a, H-2b); 2.41 (t, 1H, J 2.4, H–C
); 3.82 (dd, 1H, J 3.8 and 6.4; H-4); 3.83–3.87 (m, 1H, H-1a); 3.94 (dd, 1H, J 6.1 and 8.4, H-6a); 3.94–3.99 (m, 1H, H-1b); 4.06 (dd, 1H, J 6.4 and 8.4, H-6b); 4.20 (dd, 1H, J 2.4 and 16.0, H-1′a); 4.24 (dd, 1H, J 2.4 and 16.0, H-1′b); 4.25–4.28 (m, 1H, H-3); 4.31 (q, 1H, J 6.4, H-5) [Found: HRMS (EI) m/z (M − CH3)+, 211.0981. C11H15O4 requires 211.0970].
20 involving deprotection of the isopropylidene grouping, glycolic cleavage of the terminal diol 10 and reduction of the aldehyde to the pentitol 11. The crude product was purified by column chromatography on silica gel using hexane–ethyl acetate 2∶3 v/v as an eluent to give 11 (85%). Syrup (Found: C, 61.83; H, 7.88. C8H12O3 requires C, 61.52; H, 7.74%); [α]D
−82.8 (c 0.92 in CH2Cl2); νmax (CH2Cl2)/cm−1 2120 (C
C), 3302 (H–C
), 3580 (OH); δH (500 MHz, CDCl3 + D2O) 2.03–2.15 (m, 2H, H-2a, H-2b); 2.45 (t, 3H, J 2.4, H–C
); 3.78–3.85 (m, 3H, H-1a, H-5a, H-5b); 3.96 (q, 1H, J 5.3, H-4); 4.02 (m, 1H, H-1b); 4.12 (dd, 1H, J 2.4 and 16.0, H-1′a); 4.26 (dd, 1H, J 2.4 and 16.0, H-1′b); 4.40–4.43 (m, 1H, H-3).
C), 3309 (H–C
); δH (500 MHz, CDCl3) 2.00–2.10 (m, 2H, H-2a, H-2b); 2.31 (t, 1H, J 2.4, H–C
); 3.27 (dd, 1H, J 6.3 and 9.4, H-5a); 3.38 (dd, 1H, J 6.0 and 9.4, H-5b); 3.80–3.84 (m, 1H, H-1a); 3.91–3.96 (m, 1H, H-1b); 3.99 (ddd, 1H, J 4.0, 6.0 and 6.3, H-4); 4.01 (dd, 1H, J 2.4 and 16.0, H-1′a); 4.10 (dd, 1H, J 2.4 and 16.0, H-1′b); 4.29–4.31 (m, 1H, H-3) [Found: HRMS (EI) m/z M+, 398.1837. C27H26O3 requires 398.1882].
C); δH (200 MHz, CDCl3) 1.32, 1.53 (2s, 6H, isoprop.); 1.76 (t, 3H, J 2.4, Me–C
); 3.28 (dd, 1H, J 7.6 and 9.1, H-5a); 3.44 (dd, 1H, J 5.5 and 9.1, H-5b); 4.04 (dq, 1H, J 2.3 and 15.4, H-1′a); 4.14 (dq, 1H, J 2.3 and 15.4, H-1′b); 4.17 (d, 1H, J 3.0, H-3); 4.36 (ddd, 1H, J 3.0, 5.5 and 7.6, H-4); 4.58 (d, 1H, J 3.8, H-2); 5.85 (d, 1H, J 3.8, H-1) [Found: HRMS (LSIMS) m/z (M + Na)+, 507.2168. C31H32O5Na requires 507.2147].
C); δH (200 MHz, CDCl3) 1.31 (d, 3H, J 6.4, Me); 1.31, 1.50 (2s, 6H, isoprop.); 1.85 (t, 3H, J 2.3, Me–C
); 3.89 (d, 1H, J 3.0, H-3); 4.15 (dq, 1H, J 2.3 and 15.4, H-1′a); 4.24 (dq, 1H, J 2.3 and 15.4, H-1′b); 4.35 (dq, 1H, J 3.0, 6.4, H-4); 4.60 (d, 1H, J 3.8, H-2); 5.89 (d, 1H, J 3.8, H-1) [Found: HRMS (EI) m/z (M − CH3)+, 211.0949. C11H15O4 requires 211.0970].
C); δH (500 MHz, CDCl3) 1.77 (t, 3H, J 2.4, Me–C
); 2.00–2.09 (m, 2H, H-2a, H-2b); 3.29 (dd, 1H, J 6.2 and 9.4, H-5a); 3.36 (dd, 1H, J 6.0 and 9.4, H-5b); 3.79–3.84 (m, 1H, H-1a); 3.91–3.96 (m, 1H, H-1b); 3.98 (dq, 1H, J 2.3 and 15.4, H-1′a); 3.99 (ddd, 1H, J 4.0, 6.0 and 6.2, H-4); 4.07 (dq, 1H, J 2.3 and 15.4, H-1′b); 4.27–4.30 (m, 1H, H-3) [Found: HRMS (LSIMS) m/z (M + Na)+, 435.1978. C28H28O3Na requires 435.1936].
212121 space group was assigned on the basis of systematic extinctions. Unit cell dimensions calculated for 15 reflections are: a = 10.703(2), b = 12.290(2), c = 21.490(4) Å, V = 2826.8(9) Å3, Z = 4, Dc = 1.172 Mg m−3, μ(CuKα) = 0.625 mm−1. 3276 Reflections were collected in the θ range 4.11–74.11° on a Nonius MACH3 diffractometer. 2416 unique reflections were corrected for Lorentz and polarisation factors. The structure was solved by direct methods with the use of SHELXS86 (Sheldrick, 1986)
21 and refined against F
2 using SHELXL97 (Sheldrick, 1997).22 All H-atoms were placed in ideal positions and refined with the riding model and Biso set at 1.2 of that of the parent atom. Final R indices [I > 2σ(I
)] are: R1 = 0.0391, wR2 = 0.0996, respectively. The absolute structure parameter was 0.2(3).
14 was used to generate low energy conformations using the force field MM3. It was done by global optimisation of the structure by multiple, near random rotations about all rotatable bonds using a Monte Carlo-Metropolis approach to simulated annealing. Conformations obtained in this way were analysed using computer program MMXCOMP
23 to produce a conformational set within ca. 10 kcal mol−1 of the minimum energy conformer. This program orders the calculated conformations within a pre-set range of dihedral angles (30° of each other). It does it by setting the lowest energy conformer as a representative of the first cluster. The second lowest energy structure is added to the cluster if none of its dihedral angles differs by more than 30° from the first structure; if it does differ in at least one angle, it is taken as a representative of a second cluster. Each new structure is added in the same way.
13 which takes into account the saturation coefficients for irradiated multiplets. The estimated precision of all experimental NOEs was ±1%.
13 which is available on request from the authors. A best fit value for the external relaxation parameter (which corresponds to the effective distance of the relaxation sink) was equal to 2.25, 2.1, 2.4 Å for the samples 1–3 respectively. The program NOE is based on steady-state equations in the presence of external relaxation. As a measure of the goodness of fit of the calculated to observed NOEs, we used rmsNOE factors, defined in eqn. (1), in a manner similar to its use in crystallography.![]() | (1) |
2 distribution with the appropriate number of degrees of freedom equal to the number of NOEs measured minus one (the external relaxation parameter fitted to experimental data). In such an approach problems related to multiple comparison (i.e. simultaneous comparisons between a large number of possible models) were ignored.Ten percent significance intervals for the lowest rmsNOE factors, corresponding to 1 and 2, are (0.164, 0.282) and (0.189, 0.337), respectively.
15 using a shaped selective π soft-pulse generated using a standard Varian program on a Varian INOVA 500 spectrometer. For the sample of 1 mixing times of 500, 1000, 1500 and 2000 ms were applied. For the samples of 2 and 3 mixing times of 500, 750 and 1000 ms were used. For each mixing time the spectra were acquired using a 5000 Hz spectral window and 64 k data points. 512 Transients in blocks of 16 were accumulated using a 4 s delay after each pulse sequence and the data were processed with 1 Hz line broadening to enhance the S/N ratio.Footnotes |
| † IUPAC Recommendations, Pure Appl. Chem., 1999, 71, 587. |
| ‡ Propargyl is prop-2-ynyl. |
| This journal is © The Royal Society of Chemistry 2000 |