Yun
Zhu
,
Michael
Stollenz‡
,
Samuel R.
Zarcone
,
Sugam
Kharel
,
Hemant
Joshi§
,
Nattamai
Bhuvanesh
,
Joseph H.
Reibenspies
and
John A.
Gladysz
*
Department of Chemistry, Texas A&M University, PO Box 30012, College Station, Texas 77842-3012, USA. E-mail: gladysz@mail.chem.tamu.edu
First published on 20th October 2022
The diphosphine complexes cis- or trans-PtCl2(P((CH2)n)3P) (n = b/12, c/14, d/16, e/18) are demetalated by MCX nucleophiles to give the title compounds (P((CH2)n)3)P (3b–e, 91–71%). These “empty cages” react with PdCl2 or PtCl2 sources to afford trans-MCl2(P((CH2)n)3P). Low temperature 31P NMR spectra of 3b and c show two rapidly equilibrating species (3b, 86:14; 3c, 97:3), assigned based upon computational data to in,in (major) and out,out isomers. These interconvert by homeomorphic isomerizations, akin to turning articles of clothing inside out (3b/c: ΔH‡ 7.3/8.2 kcal mol−1, ΔS‡ −19.4/−11.8 eu, minor to major). At 150 °C, 3b, c, e epimerize to (60–51):(40–49) mixtures of (in,in/out,out):in,out isomers, which are separated via the bis(borane) adducts 3b, c, e·2BH3. The configurational stabilities of in,out-3b, c, e preclude phosphorus inversion in the interconversion of in,in and out,out isomers. Low temperature 31P NMR spectra of in,out-3b, c reveal degenerate in,out/out,in homeomorphic isomerizations (ΔG‡Tc 12.1, 8.5 kcal mol−1). When (in,in/out,out)-3b, c, e are crystallized, out,out isomers are obtained, despite the preference for in,in isomers in solution. The lattice structures are analyzed, and the D3 symmetry of out,out-3c enables a particularly favorable packing motif. Similarly, (in,in/out,out)-3c, e·2BH3 crystallize in out,out conformations, the former with a cycloalkane solvent guest inside.
Scheme 1 Dibridgehead diammonium salts that illustrate the limiting types of in/out isomers (I), and geometric criteria for in/out bridgeheads EX (II). |
Macrocyclic versions of such molecules, as well as analogs with carbon bridgeheads, can exist as in/out isomers4 differing in the relative orientations of the bridgehead substituents. As shown for I (Scheme 1), four limits apply: in,in, out,out, in,out, and out,in. When the northern and southern hemispheres are identical, the last two are degenerate. For structures that lack a C3 axis, in/out geometries can be assigned from the angles defined by the two bridgehead atoms and their substituents, as shown in II. For some time, in/out isomerism has been a curiosity, but the phenomenon has now been coupled to function, for example in the selective transport of metal dichloride fragments.5
The diprotonated dibridgehead diamines I represent the historical “ground zero” for the study of homeomorphic isomerization.4 This terminology, imported from the field of topology,6 denotes a dynamic process that is tantamount to turning a molecule inside out. Essentially, one of the tethers connecting the bridgehead atoms is “pulled through” the macrocycle defined by the other two, like reaching inside a rubber glove and pulling the inner surface outside. As depicted in Scheme 2 as well as a video (ESI†), this interconverts in,in and out,out isomers, and in,out and out,in isomers – in both cases, an apparent inversion of configuration at each bridgehead atom.7
Scheme 2 Conventional in,in (III), out,out (V), and in,out (VIII) isomers of a bicyclo[z.z.z] system with EX bridgeheads, and “crossed chain” variants IV, VII and VIII. |
Interestingly, data for the in,in, out,out and in,out equilibria of the diprotonated dibridgehead diamines I (Scheme 1) implicated an alternative mechanism: namely, proton dissociation, pyramidal inversion of the resulting trivalent nitrogen atom, and nitrogen reprotonation.2 Indeed, when the bridgeheads are trivalent group 15 heteroatoms (E:), simple pyramidal inversion can effect in/out isomerization, as represented by the “×” pathways connecting the upper and lower manifolds in Scheme 2. However, in the absence of unprecedented cooperative phenomena, only one inversion at a time would be expected, and given well established trends in inversion barriers,8,9 this would be rapid at room temperature only in the case of nitrogen.
For the sake of completeness, three species with “crossed chains” (IV, VI, VIII) are also depicted in Scheme 2. The conformational details of these isomerizations remain beyond the scope of this study, but such architectures receive support in dynamic simulation computations, which locate abundant numbers of local minima.10 As exemplified in the Discussion section, isomers of the type VIII have been isolated for P–X and Si–X systems with sterically demanding X groups.11–13 In all of these contexts, the “inside out” nature of homeomorphic isomerization means that functionality might be directed in a convergent manner towards an interior domain in one conformation, and externally in the other.
Apart from this work, only five molecular systems have been definitively shown to undergo homeomorphic isomerization,4,14,15 as defined by (1) the ability to observe both in,in and out,out forms and establish a direct path between them, or (2) the ability to observe inequivalent bridgehead atoms of an in,out isomer (the E–X in VII are not related by a symmetry operation), and their exchange at higher temperatures. In other cases, there can be a strong inference of homeomorphic isomerization from NMR properties, but with data for both limits remaining elusive.12,16,17 Particularly noteworthy are earlier efforts by Habicher and Bauer that encompass several types of bicyclic dibridgehead diphosphorus compounds with p-phenylene linkers in the tethers.16,17 They and Alder4 were pioneers in articulating some of the concepts expressed above.
Previous synthetic studies from the authors’ laboratory lay the groundwork for the effort detailed herein. As shown in Scheme 3 (top), platinum dichloride complexes with two trans or cis alkene containing phosphines of the formula P((CH2)mCHCH2)3 undergo three fold intramolecular ring closing metathesis when treated with Grubbs’ catalyst.18,19 Subsequent hydrogenations give what are termed “gyroscope-like” (trans) or “parachute-like” (cis) complexes in modest yields. The trans isomers are adducts of in,in dibridgehead diphosphine ligands, and the cis isomers adducts of out,out ligands. This underscores the appreciable conformational flexibility of the ligands.
In this paper, we report (1) the facile liberation of four aliphatic dibridgehead diphosphine ligands P((CH2)n)3P (3) from 2, (2) detailed variable temperature NMR analyses of 3, which in some cases allow the observation of distinct in,in and out,out isomers, (3) thermal epimerisations that equilibrate the in,in/out,out mixtures and in,out isomers, (4) the formation and deprotection of the corresponding bis(borane) adducts, (5) six crystals structures, and in-depth analyses thereof. Companion computational investigations that support certain assignments also deserve emphasis.10,20 Small portions of these data have been communicated, CCDC 838916 (out,out-3c·BH3·(C5H9CH3)) and CCDC 838917 (out,out-3c·2BH3·(C6H11CH3)).5,21
Compounds 3b–e were isolated as low melting white solids that were moderately air sensitive, especially in solution.22 They were characterized by NMR spectroscopy (1H, 13C{1H}, 31P{1H}) and other techniques as described below. Data are summarized in the Experimental section. The three PH2H2H213C{1H} NMR signals showed comparable nJCP values (10–12 Hz), but more detailed assignments could not be made with certainty. Several cis-PtCl2(diphosphine) species similarly react with excess KCN to give K2Pt(CN)4.23
Trialkylphosphines normally exhibit appreciable pyramidal inversion barriers (ΔG‡403 K = 32–35 kcal mol−1),8 with temperatures of ≥140 °C typically required to effect racemization or epimerization. Hence, the efficient reconstitution of trans-2c, e under mild conditions in Scheme 4 seemingly excludes the formation of in,out-3b–e in Scheme 3. In separate studies, trans-2c–e have been shown to be much more stable than cis-2c–e (equilibration at ca. 160 °C, with ΔG for 2c 3–12 kcal mol−1 depending upon the medium and temperature by DFT).19,24 Hence, the absence of cis products in Scheme 4 is not surprising.
In the course of characterizing the reactivity of 3b–e, low temperature 31P{1H} NMR spectra were acquired. When toluene or toluene-d8 solutions of 3c were cooled, a small upfield peak reproducibly appeared as depicted in Fig. 1a and S1 (ESI†). The line widths for the major signal varied strongly (w1/2 5.8 to 93.0 Hz, 300 K to 233 K, decreasing to 6.3 Hz at 193 K; Fig. S5, ESI†). A 31P EXSY experiment (Fig. S2†) confirmed that the species responsible for the two peaks are in equilibrium. The area ratio at 193 K (−80 °C), 97:3, corresponded to a ΔG193K value of 1.33 kcal mol−1.
The smaller macrocycle 3b also exhibited two signals in toluene-d8 at lower temperatures (Fig. 1b and S3†). At 213 K (−60 °C), integration indicated a 86:14 isomer ratio, for a ΔG213K value of 0.77 kcal mol−1, with the downfield signal again dominant. These coalesced at approximately 303 K (30 °C), and 13C{1H} NMR signals also sharpened above this temperature (Fig. S4†). Two 31P{1H} NMR signals were also observed in mesitylene (85:15, 213 K; Tc near 313 K) and THF (91:9, 213 K; Tc near 263 K).25 For both 3b and c, the spectra were simulated, as exemplified for 3b in Fig. 1b and S3.† Eyring plots of the rate constants derived from the line shapes26 (Fig. S7†) gave ΔH‡ and ΔS‡ values of 7.3 kcal mol−1 and −19.4 eu for 3b (minor to major; ΔG‡213 K = 11.4 kcal mol−1 or 12.1 kcal mol−1 major to minor), and 8.2 kcal mol−1 and −11.8 eu for 3c (minor to major; ΔG‡193 K = 10.4 kcal mol−1, or 11.5 major to minor).26
Accordingly, the two 31P{1H} NMR signals are attributed to in,in and out,out isomers of 3b, c that rapidly interconvert by homeomorphic isomerization, and these descriptors are henceforth coupled to their alphanumeric designations. Perhaps counterintuitively, the major species have been assigned (for all macrocycle sizes) as in,in-3b–e. A strong rationale is provided in accompanying computational papers (which also show the 31P{1H} NMR signals of in P: bridgeheads to be 3.5–8.0 ppm downfield of out P: bridgeheads).10b,20,27 As elaborated below, dispersion forces are thought to play a key role. Analogous trends were found in earlier computational studies of the hydrocarbon bicyclo[6.6.6]eicosane and related species.29 However, the in,in thermodynamic preference is not reflected in crystal structures (vide infra), and of course cannot extend to smaller ring systems (e.g., DABCO).
As a prelude, (in,in/out,out)-3b, c, e were treated with moderate excesses of Me2S·BH3. As shown in Scheme 5, workups gave the diphosphine diboranes (in,in/out,out)-3b, c, e·2BH3 as white or light yellow analytically pure air stable solids or oils in 70–91% yields. These materials, unlike the diphosphines, can be purified chromatographically. They were characterized analogously and exhibited, like other phosphine boranes, broad boron-coupled 31P NMR and BH31H NMR signals.31 Their isomer distributions are also of interest, but this topic is deferred to future papers.
As depicted in Scheme 6, mesitylene solutions of (in,in/out,out)-3b, c, e were kept at 150 °C and monitored by 31P{1H} NMR. As exemplified in Fig. S8,† a new signal gradually appeared in each case. These were assigned to the epimerization products in,out-3b, c, e. After 30–60 h, 60:40 (3b) to 51:49 (3c, e) equilibrium mixtures were obtained ((in,in/out,out):in,out). The rate of epimerization of 3c (k1 = 1.47 × 10−5 s−1) gave a ΔG‡423 K value of 34.4 kcal mol−1 (ΔG423 K = 0.03 kcal mol−1), in good agreement with pyramidal inversion barriers of trialkyl monophosphines.8
Practical direct separations of (in,in/out,out)-3b, c, e and in,out-3b, c, e could not be devised. Thus, as shown in Scheme 6, the samples were treated with excess Me2S·BH3. Silica gel chromatography gave the bis(borane) adducts (in,in/out,out)-3b, c, e·2BH3 (also prepared in Scheme 5) and in,out-3b, c, e·2BH3 in 43–23% and 42–16% yields, respectively. The latter were characterized analogously to the former,32 and representative 13C{1H} NMR spectra are compared in Fig. S9.† The phosphine boranes in,out-3b, c, e·2BH3 were deprotected using a standard protocol, neat refluxing pyrrolidine. Silica gel workups gave analytically pure in,out-3b, c, e in 77–56% yields as moderately air sensitive colorless oils.
The chemical shifts of the decoalesced signals, and the Δppm values, were similar to those in Fig. 1. Thus, the downfield signals are provisionally assigned to in bridgeheads, and the upfield signals to out bridgeheads. The 31P{1H} NMR spectra of the diphosphine diboranes (in,in/out,out)-3c·2BH3 and in,out-3c·2BH3, as well as 1H and 13C{1H} NMR spectra of the latter, were recorded over a similar temperature range in CD2Cl2 (Fig. S10–S13†). Although the chemical shifts and peak widths varied, there were no well-defined decoalescence phenomena.
Fig. 1 31P{1H} NMR spectra in toluene-d8: (a) 3c at 193 K; (b) 3b at 213 K, 273 K, and 373 K, together with simulated spectra. The label * indicates an impurity. |
Fig. 2 Variable temperature 31P{1H} NMR spectra (202 MHz) of (a) in,out-3c in CH2Cl2; (b) in,out-3b in CDCl3. The label * indicates an impurity. |
out,out-3b | out,out-3c | out,out-3e | out,out-3c·2BH3·(C5H9CH3) | out,out-3c·2BH3·(C6H11CH3) | out,out-3e·2BH3 (1)a | out,out-3e·2BH3 (2)a | out,out-3e·2BH3 (3)a | |
---|---|---|---|---|---|---|---|---|
a The multiple columns refer to the three independent molecules in the unit cell. b The corresponding value in the platinum complex trans-2c is 4.61 Å. c Sum of the three C–P–C bond angles (360° = planar or sp2 limit, 328.4° = tetrahedral or sp3 limit; 270° = unhybridized px/py/pz limit. | ||||||||
P–Pb | 10.8271(8) | 12.948(3) | 17.978(1) | 13.212(4) | 13.220(4) | 19.407(3) | 19.800(3) | 19.540(3) |
P–C | 1.8535(15) | 1.8361(15) | 1.848(2) | 1.840(11) | 1.823(8) | 1.825(8) | 1.827(8) | 1.805(8) |
1.8544(15) | 1.87(3) | 1.770(11) | 1.827(8) | 1.817(8) | 1.802(8) | |||
1.8526(15) | 1.832(2) | 1.812(8) | 1.929(12) | 1.801(8) | 1.814(8) | 1.814(9) | ||
1.8541(16) | 1.708(13) | 1.837(10) | 1.825(8) | 1.822(9) | 1.819(8) | |||
1.8530(15) | 1.850(2) | 1.92(3) | 1.738(12) | 1.819(8) | 1.779(10) | 1.825(9) | ||
1.8543(15) | 1.852(10) | 1.825(11) | 1.831(8) | 1.817(9) | 1.830(8) | |||
P–B | — | — | — | 1.906(12) | 1.864(12) | 1.903(10) | 1.903(10) | 1.907(10) |
1.900(12) | 1.881(12) | 1.903(9) | 1.920(10) | 1.910(10) | ||||
C–P–C | 98.67(7) | 98.64(6) | 102.06(10) | 105.9(4) | 105.7(5) | 107.2(4) | 105.8(4) | 106.9(4) |
98.68(7) | 102.0(16) | 102.6(5) | 103.9(4) | 104.4(4) | 101.7(4) | |||
98.02(7) | 100.30(11) | 106(2) | 107.0(5) | 106.6(4) | 105.7(4) | 110.0(4) | ||
97.65(7) | 101.7(5) | 108.5(6) | 103.7(4) | 105.8(5) | 107.1(4) | |||
99.21(7) | 100.32(10) | 114.4(10) | 105.0(5) | 109.3(4) | 107.1(4) | 108.2(4) | ||
98.11(7) | 97.1(11) | 102.3(5) | 107.8(4) | 111.3(5) | 103.3(4) | |||
C–P–B | — | — | — | 117.1(6) | 115.9(5) | 111.5(4) | 112.2(4) | 110.7(4) |
109.2(15) | 120.4(6) | 112.7(5) | 112.8(4) | 116.0(4) | ||||
114.8(5) | 103.7(5) | 114.4(4) | 115.1(4) | 111.1(4) | ||||
118.8(7) | 112.8(6) | 112.8(4) | 106.4(5) | 112.8(5) | ||||
109.7(10) | 116.5(6) | 113.2(4) | 113.9(5) | 109.4(5) | ||||
112.9(6) | 110.7(6) | 109.6(5) | 112.2(5) | 114.7(4) | ||||
P–P-lone pair or P–P–B | 172.9 | 180.0 | 108.5 | 174.2(4) | 176.1(4) | 149.2(3) | 153.0(3) | 149.2(3) |
173.5 | 157.6(4) | 158.4(4) | 133.1(3) | 129.2(4) | 133.3(4) | |||
Phosphorus pyramidalizationc | 295.4 | 295.9 | 302.7 | 313.9 | 315.3 | 317.7 | 315.9 | 318.6 |
295.0 | 313.2 | 315.8 | 320.8 | 324.2 | 319.2 |
Fig. 3 Thermal ellipsoid plots (50% probability level) for out,out-3b (left), out,out-3c (middle), and out,out-3e (right, dominant conformation). |
Crystalline out,out-3c exhibits unusual molecular symmetry (D3), such that the positions of all 44 non-hydrogen atoms can be defined from the atomic coordinates of only eight (P(CH2)7). As depicted in panel (a) of Fig. 4, a C3 axis passes through the two phosphorus atoms, and three C2 axes lie in a perpendicular plane (one of which runs perpendicular to the plane of the paper in panel (b)). However, the conformation remains chiral, with no internal mirror planes, although as required by the achiral space group Rc, both enantiomers are present in the unit cell. Panel (c) highlights the cage like nature and attendant interior space, which in the lattice is partially occupied by neighboring molecules (vide infra).
In the case of out,out-3b, there is a “near miss” with respect to D3 symmetry. Space filling views comparable to those in Fig. 4 are provided in Fig. S14,† and visually most deviations are slight. With out,out-3e (Fig. 3), a C2 axis passes through the midpoint of one P(CH2)18P chain and exchanges the phosphorus atoms and the other two chains. As detailed in the Experimental section, there is disorder in two chains but this is easily modeled and only the dominant conformation (77%) is treated. As may be facilitated by the larger ring sizes in out,out-3e, the chains partially collapse in on each other, stopping just short of van der Waals contacts and retaining a smidgen of interior space (Fig. S15†). Furthermore, the two phosphorus atoms no longer occupy geometric apices.
Features associated with the phosphorus–phosphorus vectors of out,out-3b, c, e are of interest. As summarized in Table 1, their lengths increase from 10.8271(8) to 12.948(3) to 17.978(1) Å. This constitutes an immense expansion of the phosphorus–phosphorus distances in the crystalline platinum complexes 2c, g (4.611–4.620 Å), emphasizing the structural flexibility of the diphosphines. The phosphorus–phosphorus-lone pair angles in out,out-3c are both 180°, whereas in out,out-3b they decrease slightly to 173.5°–172.9°. However, in out,out-3e the angles are both 108.5°, approaching the 90° cutoff for out,out and in,in isomers diagrammed in II (Scheme 1).
Consider next the diphosphine diboranes out,out-3c, e·2BH3. The former could be crystallized as both methylcyclopentane33 and methylcyclohexane monosolvates, out,out-3c·2BH3·(C5H9CH3) and out,out-3c·2BH3·(C6H11CH3). These exhibited very similar unit cell parameters (Table S1†) and molecular structures, with the solvent molecules occupying the interior of the diphosphine cages. The former (the better structure) is depicted in Fig. 5, but both are quite similar. Solvent is analogously incorporated into the diphosphine cages of crystalline digold complexes of the type out,out-3c·2AuX.11,34 The phosphorus–phosphorus vectors in out,out-3c·2BH3·(C5H9CH3) and out,out-3c·2BH3·(C6H11CH3) are 2.1% longer than that in the parent diphosphine out,out-3c (13.212(4)–13.220(4) Å vs. 12.948(3) Å), with one P–P–B angle close to 180° (174.2–176.1°) and the other somewhat smaller (157.6(4)–158.4(4)°).
Although out,out-3e·2BH3 crystallized without solvent incorporation, three independent molecules were present in the unit cell. One has been arbitrarily selected for Fig. 5. As with the congener out,out-3e, the cages in all three molecules have collapsed inward, with the P(CH2)18P chains close to but not quite in van der Waals contact. As expected, the phosphorus–phosphorus vectors (19.407(3)–19.800(3) Å) are much longer than those of the out,out-3c·2BH3 monosolvates, and for conformational reasons longer than that in out,out-3e (17.978(1) Å). The P–P–B angles (153.0(3)–129.2(4)°; avg 141.2°) are smaller than the P–P–(B or lone pair) angles of all the compounds except out,out-3e (108.5°).
Fig. 6 Views of the crystal lattice of out,out-3c with the long c axis perpendicular to the plane of the paper (a and c) or in the plane of the paper (b). |
There are six (CH2)14 segments radiating with 60° spacings from each phosphorus–phosphorus stack, the PCH2 segments of which generate apparent rhomboids, followed by “tails” representing the remaining CH2 groups. Three are associated with one layer of molecules aligned along the c axis, and the other three with a layer that is three layers above or below (Fig. 6, panel (b)). Within each layer, the (CH2)14 bridge of one molecule intercalates between two (CH2)14 bridges of a neighboring molecule (panel (c)). Between adjacent layers, the molecules are offset, the phosphorus atoms of one abutting the groups of the other. However, the closest intermolecular distances fall just short of van der Waals contacts.
Although out,out-3b does not give as symmetrical a lattice as out,out-3c, the (CH2)12 chains similarly nest within the interstices generated by two (CH2)12 chains of a neighboring molecule (Fig. 7). The two bis(borane) adducts out,out-3c·2BH3·(C5H9CH3) and out,out-3c·2BH3·(C6H11CH3) pack similarly. Here, the interior solvent molecules require expression as out,out isomers, so crystal packing forces cannot be playing a direct role.
The long dimensions of the P(CH2)18P systems out,out-3e and out,out-3e·2BH3 are also roughly aligned in the respective crystal lattices. However, as illustrated in Fig. 8, there is no intercalation as in Fig. 6. Nonetheless, the intermolecular spacings between (CH2)18 chains are comparable to the intramolecular spacings, which as noted above are slightly greater than van der Waals contacts. Interestingly, out,out-3e and out,out-3e·2BH3 exhibit the highest densities in each series (e.g., ρ 1.022 (out,out-3e) vs. 0.991–0.990 (out,out-3b, c) Mg m−3).
As exemplified by 6c in Scheme 7 (bottom), demetallation of gyroscope-like rhodium(I) complexes can also be effected,35 but in efforts to date yields have not been superior to the routes in Scheme 3. Precursors such as 7 afford related dibridgehead di(triaryl)phosphines.35b However, there have recently been promising developments regarding alternative routes that involve inexpensive metals.28 These have included the iron-based syntheses of the dibridgehead diarsines As((CH2)n)3As (n = 10, 12, 14).36
The mechanisms of these demetalations, which are receiving ongoing attention, are beyond the scope of this study. However, since metal fragments can generally be reintroduced (Scheme 4), intermediates such as X (Scheme 7) derived from metal–phosphorus bond cleavage and homeomorphic isomerization have been suggested. The platinum byproducts M2Pt(CX)4 generated in Scheme 3 would be derived from the displacement of all the metal–ligand bonds in X by –CX nucleophiles. Accordingly, excess KCN has been shown to convert various cis-PtCl2(diphosphine) adducts to K2Pt(CN)4.23
The most closely related dibridgehead diphosphorus macrocycles in the literature are depicted in Scheme 8.17b The dibridgehead di(triaryl)phosphine dioxides 8·2O were constructed via Williamson ether syntheses that afforded both (in,in/out,out) and in,out isomers. Subsequent reductions gave 8, which were characterized in situ due to their air sensitivity. It has not yet proved possible to quantify equilibrium ratios or obtain crystal structures for any of these species. Nonetheless, the in/out isomers could be assigned based upon rate trends in Scheme 8 and derivatization reactions. Recently, several additional types of novel compounds exhibiting in/out isomerism have been reported.15,37
Scheme 8 Macrocyclic dibridgehead diphosphorus compounds reported by Bauer.17b |
First, the earliest computational probes of such equilibria, conducted with the hydrocarbons HC((CH2)n)3CH, pointed to an increasing and eventually dominant proportion of in,in isomers as n is increased.29 Second, DFT calculations with (P(CH2)n)3P (n = 8–20) have always given parallel results.10,21 As reported separately, DFT has also been used to compute the 31P NMR chemical shifts (n = 10–20),10b,20 and two relationships emerge: (1) the chemical shifts of the in,in isomers are downfield of the out,out isomers, and (2) the chemical shifts of the in bridgeheads of the in,out isomers are downfield of the out bridgeheads (Δppm similar to experiment in both cases).27 Inverting the assignments made above would contradict these findings.
Molecular dynamics simulations have also been carried out.10 These indicate an abundance of conformers that are relatively closely spaced in energy for all limiting isomers. Several factors point to increased attractive intramolecular dispersion (van der Waals) forces in the in,in as opposed to out,out isomers. For example, a reduced surface area should translate into a reduced void space in these cage-like structures. The latter should in turn increase the dispersive (attractive) van der Waals forces between methylene linkers. Accordingly, the Connolly contact surfaces38 generated using various probe radii (e.g., 4.0 Å, comparable to a small solvent molecule) are on the average lower for the ensemble of low-energy conformations for the in,in isomers. We note in passing that additional computational studies have addressed other aspects of in/out isomerism.12,15,37
The ΔG‡ values for the homeomorphic isomerization of out,out-3 to in,in-3 increase as the ring sizes decrease (10.4 kcal mol−1 for 3c, 193 K vs. 11.4 kcal mol−1 for 3b, 213 K). Importantly, the ΔS‡ values become more negative as the ring sizes decrease (−11.8 eu, 3c; −19.4 eu, 3b). This is consistent with a more pronounced loss of degrees of freedom in turning the smaller macrocycle inside out. However, the ΔH‡ values decrease (8.2 kcal mol−1, 3c; 7.3 kcal mol−1, 3b), hinting at a possible isokinetic relationship.39 Interestingly, the ΔG‡ value for the degenerate homeomorphic isomerization of in,out-3c (8.5 kcal mol−1, 200 K) is less than those for the non-degenerate isomerizations of in,in-3c and out,out-3c (10.4 or 11.5 kcal mol−1, 193 K, depending upon direction). The trend for in,out-3b compared to in,in- and out,out-3b is analogous but less pronounced (290 K: 12.1 vs. 13.1 or 13.8 kcal mol−1).
The epimerisations of (in,in/out,out)-3b, c, e (Scheme 6) require similar temperatures and time scales. As noted above, the ΔG‡ value for (in,in/out,out)-3c (34.4 kcal mol−1, 150 °C or 423 K) is typical for inversions of acyclic trialkylphosphines. This suggests a common bridgehead inversion mechanism, as opposed to unconventional pathways involving phosphorus–phosphorus interactions that could show a dependency upon macrocycle size. Reactions of dibridgehead diphosphines with P(CH2)nP linkages with n ≤ 4 can afford species with phosphorus–phosphorus bonds, for which inversions at phosphorus have been documented.40
Of course, all the same questions can be posed with regard to the diphosphine diboranes 3·2BH3. These are beyond the scope of this paper, but it is clear that equilibria involving in,in and out,out isomers, or degenerate in,out species, remain rapid on NMR time scales. Despite the greater steric demand of a bridgehead BH3 substituent as opposed to a lone pair, we believe that the diphosphines in this study provide ample clearance for in,in and in,out isomers. However, when the BH3 groups of in,out-3c·2BH3 are replaced by bulky gold(I) Lewis acids AuAr as in 9 (Scheme 9), steric interactions greatly increase. Accordingly, the structure “flips” into an out,out form with crossed chains (see VIII, Scheme 2), both in solution and the solid state.11
Finally, it should be kept in mind that a wide variety of mechanisms may be operative in in/out isomerizations. For example, dibridgehead diorthoesters with (OCH2CH2)n bridges have recently been prepared, as exemplified by 10 in Scheme 9.15 All three in/out orientations of the HC(OR)3 units can be observed. These can equilibrate by both homeomorphic isomerizations and catalyzed pathways involving cleavage of the carbon–oxygen bonds.
Crystalline out,out-3b as well as the arsenic homolog As((CH2)12)3As36 are just a few CH2–CH2 rotations removed from D3 symmetry, and share several packing features with out,out-3c (e.g., Fig. 7). As shown in Fig. 8, out,out-3e crystallizes in a much different motif, but still with a visually impressive degree of van der Waals contacts or near-contacts. In any event, these apparently trump the greater intramolecular dispersion forces posited for individual in,in isomers. Nonetheless, this dichotomy remains an obvious focus for further study and interpretation.
The bridgehead phosphorus atoms in out,out-3b, c, e are much more pyramidalized than in out,out-3c, e·2BH3, as evidenced by the sums of the three carbon–phosphorus–carbon bond angles (295.0–302.7° vs. 313.2–324.3°; Table 1). The solvent occupied cages in the two structures of out,out-3c·2BH3 raise the issue of whether any of the equilibria or other phenomena described above might be affected by encapsulated solvent. We view the solvate molecules as simple consequences of crystal growth, as our gyroscope-like complexes (e.g., trans-2g in Scheme 3)18b occasionally but by no means routinely crystallize with a solvent molecule within a macrocycle.34 Also, attempts to detect toluene-dn adducts of in,in-3c or out,out-3c at low temperatures in CD2Cl2 and other solvents have been unsuccessful.
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.46–1.35, 1.35–1.25 (2 br m, 72H, C2); 13C{1H} (126 MHz) 30.9 (d, JCP = 9.5 Hz, H2), 28.5 (s, H2), 28.4 (s, H2), 28.1 (s, H2), 26.3–25.9 (br s, H2), 25.0–24.7 (br s, H2); 31P{1H} (202 MHz) −29.7 to −32.1 (br s).
NMR (toluene-d8, δ/ppm, 373 K): 1H (500 MHz) 1.45–1.35, 1.35–1.23 (2 br m, 72H, C2); 13C{1H} (126 MHz) 30.8 (d, JCP = 10.1 Hz, H2), 28.71 (s, H2), 28.70 (s, H2), 28.67 (s, H2), 28.3 (d, JCP = 14.6 Hz, H2), 26.0 (d, JCP = 13.4 Hz, H2); 31P{1H} (202 MHz) −31.9 (br s).
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.37–1.32, 1.31–1.23 (2 br m, 84H, C2); 13C{1H} (126 MHz) 31.2 (d, JCP = 10.3 Hz, H2), 29.2 (s, H2), 29.14 (s, H2), 29.08 (s, H2), 28.7 (s, H2), 26.3 (d, JCP = 12.2 Hz, H2), 25.2 (d, JCP = 11.0 Hz, H2); 31P{1H} (202 MHz) −30.1 (s).
A 13C{1H} NMR spectrum of the yellow precipitate showed signals (D2O, δ/ppm) for K2Pt(CN)4 (126.5; lit43 126.5) and KCN (166.8). The precipitate was dissolved in water (5 mL) and the solution allowed to slowly concentrate. After 7 d, thin colorless plates of K2Pt(CN)4 were obtained, as verified by X-ray crystallography.44
NMR (CDCl3, δ/ppm) 1H (500 MHz) 1.46–1.33, 1.33–1.23 (2 br m, 96H, C2); 13C{1H} (126 MHz) 31.2 (d, JCP = 10.2 Hz, H2), 29.2 (s, 2 × H2), 29.1 (s, H2), 29.0 (s, H2), 28.8 (s, H2), 26.6 (d, JCP = 12.0 Hz, H2), 25.4 (d, JCP = 11.6 Hz, H2); 31P{1H} (202 MHz) −30.7 (s).
NMR (C6D6, δ/ppm): 1H (500 MHz) 1.60–1.52 (br m, 12H, C2), 1.49–1.40 (br m, 24H, C2), 1.40–1.29 (br m, 72H, C2); 13C{1H} (126 MHz) 32.1 (d, JCP = 10.5 Hz, H2), 30.34 (s, H2), 30.32 (s, H2), 30.3 (s, H2), 30.2 (s, H2), 30.1 (s, H2), 30.0 (s, H2), 28.4 (d, JCP = 13.6 Hz, H2), 26.8 (d, JCP = 13.0 Hz, H2); 31P{1H} (202 MHz) −32.8 (s). IR (cm−1, powder film): 2916 (s), 2847 (s), 1466 (s), 1442 (s), 725 (s).
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.63–1.53 (m, 12H, C2), 1.53–1.44 (m, 12H, C2), 1.41–1.37 (m, 12H, C2), 1.37–1.23 (m, 36H, C2), 0.48 and 0.27 (br apparent d, 6H, B3); 13C {1H} (126 MHz) 30.3 (d, JCP = 11.9 Hz, H2), 28.9 (s, H2), 28.5 (s, H2), 28.1 (s, H2), 22.4 (d, JCP = 34.0 Hz, H2), 21.9 (d, JCP = 2.9 Hz, H2); 31P{1H} (202 MHz): 15.0–13.7 (br s).31b
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.60–1.49 (m, 12H, C2), 1.50–1.41 (m, 12H, C2), 1.41–1.32 (m, 12H, C2), 1.32–1.20 (m, 48H, C2), 0.38 and 0.26 (br apparent d, 6H, B3); 13C{1H} (126 MHz) 30.7 (d, JCP = 12.1 Hz, H2), 29.31 (s, H2), 29.25 (s, H2), 29.0 (s, H2), 28.5 (s, H2), 22.5 (d, JCP = 34.1 Hz, H2), 22.2 (d, JCP = 2.6 Hz, H2); 31P{1H} (202 MHz) 16.2–14.4 (br s).31b IR (cm−1, powder film): 2922 (s), 2853 (s), 2366 (m), 1467 (w), 1061 (m), 718 (m). MS (EI): 678 (M+, 1%), 665 ([M − BH3]+, 38%), 651 ([M − 2BH3]+, 100%).
NMR (CDCl3, δ/ppm): 1H (500 MHz): 1.60–1.52 (m, 12H, C2), 1.52–1.42 (m, 12H, C2), 1.42–1.34 (m, 12H, C2), 1.34–1.21 (m, 72H, C2), 0.45 and 0.28 (br apparent d, 6H, B3); 13C{1H} (126 MHz): 31.0 (d, JCP = 12.0 Hz, H2), 29.60 (s, H2), 29.58 (s, H2), 29.50 (s, H2), 29.45 (s, H2), 29.2 (s, H2), 28.8 (s, H2), 22.8 (d, JCP = 34.2 Hz, H2), 22.4 (d, JCP = 2.7 Hz, H2); 31P{1H} 14.9–13.6 (br s).31b IR (cm−1, powder film): 2915 (s), 2846 (m), 2361 (m), 1468 (m), 1063 (m), 716 (m).
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.64–1.54 (m, 12H, C2), 1.54–1.45 (m, 12H, C2), 1.45–1.37 (m, 12H, C2), 1.37–1.24 (m, 36H, C2), 0.51 and 0.29 (br apparent d, 6H, B3); 13C{1H} (126 MHz) 30.4 (d, JCP = 11.2 Hz, H2), 27.7 (s, H2), 27.6 (s, H2), 27.5 (s, H2), 23.4 (d, JCP = 34.3 Hz, H2), 22.2 (s, H2); 31P{1H} (202 MHz): 15.6–14.1 (br s).31b
Next (in,in/out,out)-3b·2BH3 eluted (colorless oil, 0.0194 g, 0.326 mmol, 38%). The NMR data agreed with that from the independent synthesis above.
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.49–1.36, 1.36–1.23 (2 br m, 72H, C2); 13C{1H} (126 MHz) 30.9 (d, JCP = 9.7 Hz, H2), 28.7 (s, 2 × H2), 28.6 (s, H2), 27.0–26.5 (br s, H2), 25.5 (d, JCP = 10.6 Hz, H2); 31P{1H} (202 MHz) −29.8 to −36.9 (br s) and (from Fig. 2b) −30.1/−40.4 (s/s, 213 K), −29.4/−38.0 (br s/br s, 253 K), −29.2/−36.5 (br s/br s, 273 K), −32.2 (br s, 298 K), −32.3 (br s, 323 K).
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.56–1.51 (m, 12H, C2), 1.49–1.42 (m, 12H, C2), 1.39–1.33 (m, 12H, C2), 1.31–1.21 (m, 48H, C2), 0.45 and 0.27 (br apparent d, 6H, B3); 13C {1H} (126 MHz) 30.5 (d, JCP = 11.3 Hz, H2), 28.35 (s, H2), 28.28 (s, H2), 28.2 (s, H2), 28.1 (s, H2), 23.0 (d, JCP = 34.3 Hz, H2), 22.2 (d, JCP = 1.9 Hz, H2); 31P{1H} (202 MHz): 15.8–15.4 (br m).31b
Next eluted (in,in/out,out)-3c·2BH3 (colorless oil, 0.114 g, 0.168 mmol, 43%), which solidified to a white powder. The NMR data agreed with that from the independent synthesis above.
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.45–1.35, 1.32–1.23 (2 br m, 84H, C2); 13C{1H} (126 MHz) 30.9 (d, JCP = 10.3 Hz, H2), 29.0 (s, 2 × H2), 28.94 (s, H2), 28.86 (s, H2), 27.0 (d, JCP = 11.5 Hz, H2), 25.6 (d, JCP = 11.8 Hz, H2); 31P{1H} (202 MHz) −31.3 (s).
NMR (CDCl2F,45δ/ppm, 263 K): 1H (500 MHz) 1.46–1.25 (br m, 84H, C2); 13C{1H} (126 MHz) 31.0 (d, JCP = 10.3 Hz, H2), 29.0 (s, 2 × H2), 28.98 (s, H2), 28.90 (s, H2), 26.8 (d, JCP = 10.9 Hz, H2), 25.5 (d, JCP = 11.5 Hz, H2); 31P{1H} (202 MHz) −32.5 (s).
31P{1H} NMR (CH2Cl2, δ/ppm, 202 MHz selected data from Fig. 2a) −32.3/−37.7 (br s/br s, 183 K), −32.4/−37.4 (br s/br s, 193 K), −34.5 (br s, 208 K), −34.1 (br s, 223 K).
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.59–1.52 (m, 12H, C2), 1.52–1.44 (m, 12H, C2), 1.41–1.34 (m, 12H, C2), 1.34–1.22 (m, 72H, C2), 0.49 and 0.29 (br apparent d, 6H, B3); 13C{1H} (126 MHz) 31.0 (d, JCP = 11.9 Hz, H2), 29.4 (s, H2), 29.31 (s, H2), 29.28 (s, H2), 29.27 (s, H2), 29.0 (s, H2), 28.8 (s, H2), 23.1 (d, JCP = 34.5 Hz, H2), 22.5 (d, JCP = 2.4 Hz, H2); 31P{1H} (202 MHz): 15.1–13.9 (br s).31b
Next eluted (in,in/out,out)-3e·2BH3 (colorless oil, 0.0464 g, 0.0548 mmol, 23%), which solidified (6–8 h) to a white powder. The NMR data agreed with that from the independent synthesis above.
NMR (CDCl3, δ/ppm): 1H (500 MHz) 1.46–1.33, 1.32–1.22 (2 br m, 108H, C2); 13C{1H} (126 MHz) 31.2 (d, JCP = 10.5 Hz, H2), 29.43 (s, H2), 29,42 (s, H2), 29.39 (s, H2), 29.38 (s, H2), 29.3 (s, H2), 29.1 (s, H2), 27.2 (d, JCP = 11.9 Hz, H2), 25.8 (d, JCP = 12.0 Hz, H2); 31P{1H} (202 MHz) −31.5 (s).
NMR (C6D6, δ/ppm): 1H (500 MHz) 1.92–1.82, (br m, 12H, PCH2C2), 1.72–1.62 (br m, 12H, PC2), 1.55–1.41 (br m, 48H, remaining C2); 13C{1H} (126 MHz) 30.2 (virtual t, JCP = 6.9 Hz, PCH2CH2H2), 27.9 (s, H2), 27.8 (s, H2), 27.0 (s, H2), 25.4 (virtual t, JCP = 16.3 Hz, PH2), 24.3 (s, P CH2H2); 31P{1H} (202 MHz) 9.3 (s, JPPt (satellite) = 2442 Hz).
Footnotes |
† Electronic supplementary information (ESI) available: Additional preparative, crystallographic, NMR, and rate data, and a video representing the interconversion of III, IV, and VI in Scheme 2. The EX (or P:) bridgeheads are depicted as triangles, initially with the blue sides “in” and the white sides “out”. Threading one (CH2)n chain through the macrocycle defined by the other two reverses these relationships (without pyramidal inversion or bond-breaking). This is termed “homeomorphic isomerization”. CCDC 2190116 (out,out-3b), 2190438 (out,out-3c), 2190439 (out,out-3e), and 2190440 (out,out-3e·2BH3). For ESI and crystallographic data in CIF or other electronic format see DOI: https://doi.org/10.1039/d2sc04724a |
‡ Current address: Department of Chemistry and Biochemistry, Kennesaw State University 370 Paulding Avenue NW, MD #1203, Kennesaw, GA 30144, USA. |
§ Current address: Department of Chemistry, School of Chemical Sciences and Pharmacy, Central University of Rajasthan, Ajmer, Rajasthan 305817 India. |
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