Is Cys(MTSL) the Best α-Amino Acid Residue to Electron Spin Labeling of Synthetically Accessible Peptide Molecules with Nitroxides?

Electron paramagnetic resonance spectroscopy, particularly its pulse technique double electron-electron resonance (DEER) (also termed PELDOR), is rapidly becoming an extremely useful tool for the experimental determination of side chain-to-side chain distances between free radicals in molecules fundamental for life, such as polypeptides. Among appropriate probes, the most popular are undoubtedly nitroxide electron spin labels. In this context, suitable biosynthetically derived, helical regions of proteins, along with synthetic peptides with amphiphilic properties and antibacterial activities, are the most extensively investigated compounds. A strict requirement for a precise distance measurement has been identified in a minimal dynamic flexibility of the two nitroxide-bearing α-amino acid side chains. To this end, in this study, we have experimentally compared in detail the side-chain mobility properties of the two currently most widely utilized residues, namely, Cys(MTSL) and 2,2,6,6-tetramethylpiperidine-1-oxyl-4-amino-4-carboxylic acid (TOAC). In particular, two double-labeled, chemically synthesized 20-mer peptide molecules have been adopted as appropriate templates for our investigation on the determination of the model intramolecular separations. These double-Cys(MTSL) and double-TOAC compounds are both analogues of the almost completely rigid backbone peptide ruler which we have envisaged and 3D structurally analyzed as our original, unlabeled compound. Here, we have clearly found that the TOAC side-chain labels are largely more 3D structurally restricted than the MTSL labels. From this result, we conclude that the TOAC residue offers more precise information than the Cys(MTSL) residue on the side chain-to-side chain distance distribution in synthetically accessible peptide molecules.

Probing the E/K Peptide Coiled-Coil Assembly by Double Electron-Electron Resonance and Circular Dichroism.

Double electron-electron resonance (DEER, also known as PELDOR) and circular dichroism (CD) spectroscopies were explored for the purpose of studying the specificity of the conformation of peptides induced by their assembly into a self-recognizing system. The E and K peptides are known to form a coiled-coil heterodimer. Two paramagnetic TOAC α-amino acid residues were incorporated into each of the peptides (denoted as K** and E**), and a three-dimensional structural investigation in the presence or absence of their unlabeled counterparts E and K was performed. The TOAC spin-labels, replacing two Ala residues in each compound, are covalently and quasi-rigidly connected to the peptide backbone. They are known not to disturb the native structure, so that any conformational change can easily be monitored and assigned. DEER spectroscopy enables the measurement of the intramolecular electron spin-spin distance distribution between the two TOAC labels, within a length range of 1.5-8 nm. This method allows the individual conformational changes for the K**, K**/E, E**, and E**/K molecules to be investigated in glassy frozen solutions. Our data reveal that the conformations of the E** and K** peptides are strongly influenced by the presence of their counterparts. The results are discussed with those from CD spectroscopy and with reference to the already reported nuclear magnetic resonance data. We conclude that the combined DEER/TOAC approach allows us to obtain accurate and reliable information about the conformation of the peptides before and after their assembly into coiled-coil heterodimers. Applications of this induced fit method to other two-component, but more complex, systems, like a receptor and antagonists, a receptor and a hormone, and an enzyme and a ligand, are discussed.

Coiled-coil formation of the membrane-fusion K/E peptides viewed by electron paramagnetic resonance.

The interaction of the complementary K (Ac-(KIAALKE)3-GW-NH2) and E (Ac-(EIAALEK)3-GY-NH2) peptides, components of the zipper of an artificial membrane fusion system (Robson Marsden H. et al. Angew Chemie Int Ed. 2009) is investigated by electron paramagnetic resonance (EPR). By frozen solution continuous-wave EPR and double electron-electron resonance (DEER), the distance between spin labels attached to the K- and to the E-peptide is measured. Three constructs of spin-labelled K- and E-peptides are used in five combinations for low temperature investigations. The K/E heterodimers are found to be parallel, in agreement with previous studies. Also, K homodimers in parallel orientation were observed, a finding that was not reported before. Comparison to room-temperature, solution EPR shows that the latter method is less specific to detect this peptide-peptide interaction. Combining frozen solution cw-EPR for short distances (1.8 nm to 2.0 nm) and DEER for longer distances thus proves versatile to detect the zipper interaction in membrane fusion. As the methodology can be applied to membrane samples, the approach presented suggests itself for in-situ studies of the complete membrane fusion process, opening up new avenues for the study of membrane fusion.

Alamethicin Supramolecular Organization in Lipid Membranes from 19F Solid-State NMR.

Alamethicins (ALMs) are antimicrobial peptides of fungal origin. Their sequences are rich in hydrophobic amino acids and strongly interact with lipid membranes, where they cause a well-defined increase in conductivity. Therefore, the peptides are thought to form transmembrane helical bundles in which the more hydrophilic residues line a water-filled pore. Whereas the peptide has been well characterized in terms of secondary structure, membrane topology, and interactions, much fewer data are available regarding the quaternary arrangement of the helices within lipid bilayers. A new, to our knowledge, fluorine-labeled ALM derivative was prepared and characterized when reconstituted into phospholipid bilayers. As a part of these studies, C19F3-labeled compounds were characterized and calibrated for the first time, to our knowledge, for 19F solid-state NMR distance and oligomerization measurements by centerband-only detection of exchange (CODEX) experiments, which opens up a large range of potential labeling schemes. The 19F-19F CODEX solid-state NMR experiments performed with ALM in POPC lipid bilayers and at peptide/lipid ratios of 1:13 are in excellent agreement with molecular-dynamics calculations of dynamic pentameric assemblies. When the peptide/lipid ratio was lowered to 1:30, ALM was found in the dimeric form, indicating that the supramolecular organization is tuned by equilibria that can be shifted by changes in environmental conditions.

A Coiled-Coil Peptide Shaping Lipid Bilayers upon Fusion.

A system based on two designed peptides, namely the cationic peptide K, (KIAALKE)3, and its complementary anionic counterpart called peptide E, (EIAALEK)3, has been used as a minimal model for membrane fusion, inspired by SNARE proteins. Although the fact that docking of separate vesicle populations via the formation of a dimeric E/K coiled-coil complex can be rationalized, the reasons for the peptides promoting fusion of vesicles cannot be fully explained. Therefore it is of significant interest to determine how the peptides aid in overcoming energetic barriers during lipid rearrangements leading to fusion. In this study, investigations of the peptides' interactions with neutral PC/PE/cholesterol membranes by fluorescence spectroscopy show that tryptophan-labeled K∗ binds to the membrane (KK∗ ∼6.2 103 M-1), whereas E∗ remains fully water-solvated. 15N-NMR spectroscopy, depth-dependent fluorescence quenching, CD-spectroscopy experiments, and MD simulations indicate a helix orientation of K∗ parallel to the membrane surface. Solid-state 31P-NMR of oriented lipid membranes was used to study the impact of peptide incorporation on lipid headgroup alignment. The membrane-immersed K∗ is found to locally alter the bilayer curvature, accompanied by a change of headgroup orientation relative to the membrane normal and of the lipid composition in the vicinity of the bound peptide. The NMR results were supported by molecular dynamics simulations, which showed that K reorganizes the membrane composition in its vicinity, induces positive membrane curvature, and enhances the lipid tail protrusion probability. These effects are known to be fusion relevant. The combined results support the hypothesis for a twofold role of K in the mechanism of membrane fusion: 1) to bring opposing membranes into close proximity via coiled-coil formation and 2) to destabilize both membranes thereby promoting fusion.

Conformation, self-aggregation, and membrane interaction of peptaibols as studied by pulsed electron double resonance spectroscopy.

Pulsed EPR methods, in particular pulsed electron double resonance (PELDOR) [or double electron-electron resonance (DEER)], are very sensitive to the dipole ··· dipole interaction between electron spins in a pair of free radicals. Using PELDOR, the conformations of a number of double radical-containing biomolecules have been determined. In this review article, we focused our attention on the application of this spectroscopy to nitroxide-labeled peptaibols. This is an emerging class of naturally occurring, relatively short, linear, helical peptide molecules endowed with hydrophobic character, capability to interact with and to alter the structure of membranes, and antibiotic activity. We extracted detailed information on the secondary structures of specifically site-directed, double nitroxide-labeled peptaibols under a variety of experimental conditions, including biologically relevant environments. Moreover, we examined in-depth peptaibol clustering, related to the marked propensity of these molecules to undergo self-association in model and whole-cell membrane systems, using mainly mono-nitroxide-containing synthetic analogs. Finally, based on the PELDOR data accumulated, we proposed models of supramolecular (quaternary) structures of peptaibols and their binding modes to membranes.

Probing coiled-coil assembly by paramagnetic NMR spectroscopy.

Here a new method to determine the oligomeric state and orientation of coiled-coil peptide motifs is described. Peptides K and E, which are designed to form a parallel heterodimeric complex in aqueous solution, were labeled with the aromatic amino acids tryptophan and tyrosine on the C-terminus respectively as 'fingerprint' residues. One of the peptides was also labeled with the paramagnetic probe MTSL. One dimensional proton NMR spectroscopy was used to study the peptide quaternary structure by monitoring the signal suppression of the aromatic labels due to proximity of the nitroxyl radical. 1D-NMR confirmed that the peptides K and E form a heterodimeric coiled coil with a parallel orientation. In addition, fluorescence emission quenching of the aromatic labels due to electron exchange with a nitroxyl radical confirmed the parallel coiled coil orientation. Thus, paramagnetic nitroxide and aromatic fluorophore labeling of peptides yields valuable information regarding the quaternary structure from 1D-NMR and steady-state fluorescence measurements. This convenient method is useful not only to investigate coiled coil assembly, but can also be applied to any defined supramolecular assembly.

Emergence of single-molecular chirality from achiral reactants.

The synthesis of enantiopure molecules from achiral precursors without the need for pre-existing chirality is a major challenge associated with the origin of life. We here show that an enantiopure product can be obtained from achiral starting materials in a single organic reaction. An essential characteristic of this reaction is that the chiral product precipitates from the solution, introducing a crystal-solution interface which functions as an asymmetric autocatalytic system that provides sufficient chiral amplification to reach an enantiopure end state. This approach not only provides more insight into the origin of life but also offers a pathway to acquire enantiopure compounds for industrial applications.

Enantiopure isoindolinones through Viedma ripening.

Here we demonstrate that deracemization of isoindolinones using Viedma ripening is possible starting from a racemic mixture of conglomerate crystals. Crystals of the enantiopure isoindolinones lose their chiral identity upon dissolution even without the need for a catalyst. This enabled complete deracemization of the reported isoindolinones without a catalyst.

Spin-echo electron paramagnetic resonance (EPR) spectroscopy of a pore-forming (Lipo)peptaibol in model and bacterial membranes.

This review compiles the unusual structural and dynamic peculiarities of trichogin GA IV and its analogs in lipid bilayers. Different electron spin echo (ESE) spectroscopic techniques were employed to study a set of spin-labeled analogs of trichogin GA IV in model and natural membranes. Pulsed electron-electron double resonance (PELDOR) method enabled the elucidation of the peptide conformation, while the ESE envelope modulation (ESEEM) technique was applied to study the insertion of the site-specifically spin-labeled peptide into the core of the membrane. The latter technique was also used to examine the water accessibility for peptide-attached spin labels at different levels of membrane depth. Finally, it will be shown that measurement of the ESE decays at different temperatures reveals molecular information on the mobility of the transmembrane lipopeptide aggregate. The experimental results are discussed in terms of the antibiotic and toxic activities of trichogin GA IV.

A molecular view on the role of cholesterol upon membrane insertion, aggregation, and water accessibility of the antibiotic lipopeptide trichogin GA IV as revealed by EPR.

Trichogin GA IV is a membrane-active lipopeptide, the antibiotic activity of which was proposed to be based on its capability to induce leakage due to formation of pores into the bacterial cell membrane. However, less attention has been paid to its biological selectivity, i.e., discrimination between bacterial versus cholesterol containing (mammalian) membranes. This is the reason which motivated us to study the role of cholesterol on penetration of the peptide into the membrane and formation of water channels. The ESEEM technique was used to measure the modulation amplitudes for TOAC spin-labeled trichogin GA IV peptide analogues in hydrated membranes of phosphatidylcholine (PC) lipid in the presence of 50 mol % cholesterol-d7. From the interaction between the nitroxide spin-label and the nearby located deeply membrane inserted deuterons, the N-terminus was found to be positioned at the core of the membrane. Separately, ESEEM measurements for the FTOAC-8 labeled peptide, but in D2O hydrated cholesterol/PC membranes, provide strong evidence for the polar C-terminus situated near the membrane surface. The apparently too high modulation amplitude measured for the buried FTOAC-1 label is likely attributed to the presence of peptide associated water. In cholesterol depleted membrane, however, the long axes of the helical molecules are found oriented parallel to the membrane surface even at high peptide concentration. Continuous wave EPR spectroscopy indicates that, for cholesterol containing membrane, peptide insertion is accompanied by self-aggregation of parallelly aligned transmembrane peptide molecules, while for cholesterol lacking membranes they are monomolecularly distributed. Thus, cholesterol tends to stabilize the transmembrane peptide aggregate.

Small-amplitude backbone motions of the spin-labeled lipopeptide trichogin GA IV in a lipid membrane as revealed by electron spin echo.

Trichogin GA IV is a lipopeptide antibiotic of fungal origin, which is known to be able to modify the membrane permeability. TOAC nitroxide spin-labeled analogues of this membrane active peptide were investigated in hydrated bilayers of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) by electron spin echo (ESE) spectroscopy. Because the TOAC nitroxide spin label is rigidly attached to the peptide backbone, it may report on the backbone orientational dynamics. The ESE signal in this system is observed below ∼150 K. Previously, three-pulse stimulated ESE was found to be sensitive to two types of orientational motion of spin-labeled POPC lipid bilayers at these temperatures. The first type is fast stochastic librations, with a correlation time on the nanosecond scale (which also manifests itself in a two-pulse primary ESE experiment). The second type is slow millisecond inertial rotations. In the present work, we find that at low molar peptide to lipid ratio (1:200), where the individual peptide molecules are randomly distributed at the membrane surface, the spin labels show only a fast type of motion. At the high molar peptide to lipid ratio (1:20), a slow motion is also observed. Because at this high concentration trichogin GA IV is known to change its orientation from the in-plane topology to the transmembrane disposition, the observed onset of a slow motion may be safely attributed to the dynamics of peptides, which are elongated along the lipid molecules of the membrane. The possible interrelation between this backbone rotational motion of the peptide antibiotic and the membrane leakage is discussed.

Analysis of the amide (15)N chemical shift tensor of the C(alpha) tetrasubstituted constituent of membrane-active peptaibols, the alpha-aminoisobutyric acid residue, compared to those of di- and tri-substituted proteinogenic amino acid residues.

In protein NMR spectroscopy the chemical shift provides important information for the assignment of residues and a first structural evaluation of dihedral angles. Furthermore, angular restraints are obtained from oriented samples by solution and solid-state NMR spectroscopic approaches. Whereas the anisotropy of chemical shifts, quadrupolar couplings and dipolar interactions have been used to determine the structure, dynamics and topology of oriented membrane polypeptides using solid-state NMR spectroscopy similar concepts have been introduced to solution NMR through the measurements of residual dipolar couplings. The analysis of (15)N chemical shift spectra depends on the accuracy of the chemical shift tensors. When investigating alamethicin and other peptaibols, i.e. polypeptides rich in alpha-aminoisobutyric acid (Aib), the (15)N chemical shift tensor of this C(alpha)-tetrasubstituted amino acid exhibits pronounced differences when compared to glycine, alanine and other proteinogenic residues. Here we present an experimental investigation on the (15)N amide Aib tensor of N-acetyl-Aib-OH and for the Aib residues within peptaibols. Furthermore, a statistical analysis of the tensors published for di- (glycine) and tri-substituted residues has been performed, where for the first time the published data sets are compiled using a common reference. The size of the isotropic chemical shift and main tensor elements follows the order di- < tri- < tetra-substituted amino acids. A (15)N chemical shift-(1)H-(15)N dipolar coupling correlation NMR spectrum of alamethicin is used to evaluate the consequences of variations in the main tensor elements for the structural analysis of this membrane peptide.

Alamethicin topology in phospholipid membranes by oriented solid-state NMR and EPR spectroscopies: a comparison.

Alamethicin, a hydrophobic peptide that is considered a paradigm for membrane channel formation, was uniformly labeled with 15N, reconstituted into oriented phosphatidylcholine bilayers at concentrations of 1 or 5 mol %, and investigated by solid-state NMR spectroscopy as a function of temperature. Whereas the peptide adopts a transmembrane alignment in POPC bilayers at all temperatures investigated, it switches from a transmembrane to an in-plane orientation in DPPC membranes when passing the phase transition temperature. This behavior can be explained by an increase in membrane hydrophobic thickness and the resulting hydrophobic mismatch condition. Having established the membrane topology of alamethicin at temperatures above and below the phase transition, ESEEM EPR was used to investigate the water accessibility of alamethicin synthetic analogues carrying the electron spin label TOAC residue at one of positions 1, 8, or 16. Whereas in the transmembrane alignment the labels at positions 8 and 16 are screened from the water phase, this is only the case for the latter position when adopting an orientation parallel to the surface. By comparing the EPR and solid-state NMR data of membrane-associated alamethicin it becomes obvious that the TOAC spin labels and the cryo-temperatures required for EPR spectroscopy have less of an effect on the alamethicin-POPC interactions when compared to DPPC. Finally, at P/L ratios of 1/100, spectral line broadening due to spin-spin interactions and thereby peptide oligomerization within the membrane were detected for transmembrane alamethicin.

Structure of self-aggregated alamethicin in ePC membranes detected by pulsed electron-electron double resonance and electron spin echo envelope modulation spectroscopies.

PELDOR spectroscopy was exploited to study the self-assembled super-structure of the [Glu(OMe)(7,18,19)]alamethicin molecules in vesicular membranes at peptide to lipid molar ratios in the range of 1:70-1:200. The peptide molecules were site-specifically labeled with TOAC electron spins. From the magnetic dipole-dipole interaction between the nitroxides of the monolabeled constituents and the PELDOR decay patterns measured at 77 K, intermolecular-distance distribution functions were obtained and the number of aggregated molecules (n approximately 4) was estimated. The distance distribution functions exhibit a similar maximum at 2.3 nm. In contrast to Alm16, for Alm1 and Alm8 additional maxima were recorded at 3.2 and approximately 5.2 nm. From ESEEM experiments and based on the membrane polarity profiles, the penetration depths of the different spin-labeled positions into the membrane were qualitatively estimated. It was found that the water accessibility of the spin-labels follows the order TOAC-1 > TOAC-8 approximately TOAC-16. The geometric data obtained are discussed in terms of a penknife molecular model. At least two peptide chains are aligned parallel and eight ester groups of the polar Glu(OMe)(18,19) residues are suggested to stabilize the self-aggregate superstructure.

Structure and alignment of the membrane-associated peptaibols ampullosporin A and alamethicin by oriented 15N and 31P solid-state NMR spectroscopy.

Ampullosporin A and alamethicin are two members of the peptaibol family of antimicrobial peptides. These compounds are produced by fungi and are characterized by a high content of hydrophobic amino acids, and in particular the alpha-tetrasubstituted amino acid residue ?-aminoisobutyric acid. Here ampullosporin A and alamethicin were uniformly labeled with (15)N, purified and reconstituted into oriented phophatidylcholine lipid bilayers and investigated by proton-decoupled (15)N and (31)P solid-state NMR spectroscopy. Whereas alamethicin (20 amino acid residues) adopts transmembrane alignments in 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) or 1,2-dimyristoyl-sn-glycero-3-phosphocholine (DMPC) membranes the much shorter ampullosporin A (15 residues) exhibits comparable configurations only in thin membranes. In contrast the latter compound is oriented parallel to the membrane surface in 1,2-dimyristoleoyl-sn-glycero-3-phosphocholine and POPC bilayers indicating that hydrophobic mismatch has a decisive effect on the membrane topology of these peptides. Two-dimensional (15)N chemical shift -(1)H-(15)N dipolar coupling solid-state NMR correlation spectroscopy suggests that in their transmembrane configuration both peptides adopt mixed alpha-/3(10)-helical structures which can be explained by the restraints imposed by the membranes and the bulky alpha-aminoisobutyric acid residues. The (15)N solid-state NMR spectra also provide detailed information on the helical tilt angles. The results are discussed with regard to the antimicrobial activities of the peptides.

PELDOR conformational analysis of bis-labeled alamethicin aggregated in phospholipid vesicles.

Alamethicin (Alm) is a linear peptide antibiotic of great interest for its capability to form self-assembled ion channels in lipid membranes. Here, the pulsed electron-electron double resonance technique was used to obtain unique conformational information on the aggregated peptide in the lipid membrane-bound state. Since a specific helical conformation implies a given length to the peptide molecule, a distance r was measured at the nanometer scale via the electron dipole-dipole interaction between two 2,2,6,6-tetramethylpiperidine-1-oxyl-4-amino-4-carboxylic acid spin labels synthetically incorporated at positions 1 and 16 of this 19-mer peptide. Two data sets were collected (at 77 K): (i) from aggregates of Alm in hydrated egg-yolk phosphocholine (ePC) vesicles (at peptide-to-lipid ratios of 1:200 and 1:75) and (ii) from nonaggregated Alm in pure (nonhydrated) ePC and in solvents of different polarity. The intramolecular distance between the two labels obtained in this manner is in excellent agreement with that calculated on the basis of an almost fully developed alpha-helical conformation for this peptide and is found to be independent of the molecular aggregated state and the environment polarity as well.

Solvent effects on the secondary structure of the membrane-active zervamicin determined by PELDOR spectroscopy.

Zervamicin is a voltage-gated ion-channel-forming peptide. Channels are generally considered to be formed by first insertion of amphipathic molecules into the phospholipid bilayer, followed by self-assembly of a variable number of transmembrane helices. We have studied the length of the peptide structure to address the question whether this peptide is long enough to span the phospholipid bilayer. The pulsed electron-electron double resonance (PELDOR) spectroscopic technique was used to determine the length of the helical molecule in membrane-mimicking solvents. This was achieved from the distance-related dipole-dipole interaction between spin labels, which were located at both ends of the linear peptide chain. The data were obtained by using samples of frozen glassy solutions of MeOH, MeOH/toluene, and MeOH/CHCl(3). Contributions of inter- and intramolecular interactions of spin labels were separated to analyze the intramolecular interaction and the distance distribution function between the labels. It is shown that the main maximum of the distribution functions is located at a distance of ca. 3.3 nm, and this distance appears to be only slightly dependent on the solvent composition. The distribution function was observed to narrow after addition of either CHCl(3) or toluene to MeOH. This effect is rationalized in terms of a decreased mobility of the terminal amino acid residues. By molecular-dynamics simulations, it was shown that the conformation, corresponding with the predominant distance found by PELDOR, agrees well with the mixed alpha/3(10)-helical that was previously determined by NMR. However, in the case toluene was added to the MeOH solution to further increase the hydrophobicity of the environment of the membrane-active peptide, the distribution function gives rise to a minor fraction (7-8%) with a distance of 4.2 nm. This distance corresponds most likely to the more extended 2(7)-helix structure.

Supramolecular structure of self-assembling alamethicin analog studied by ESR and PELDOR.

Three analogs of alamethicin F50/5, labelled with the TOAC (='2,2,6,6-tetramethylpiperidin-1-oxyl-4-amino-4-carboxylic acid') spin label at positions 1 (Alm1), 8 (Alm8), and 16 (Alm16), resp., were studied by Electron-Spin-Resonance (ESR) and Pulsed Electron-Electron Double-Resonance (PELDOR) techniques in solvents of different polarity to investigate the self-assembly of amphipathic helical peptides in membrane-mimicking environments. In polar solvents, alamethicin forms homogeneous solutions. In the weakly polar chloroform/toluene 1 : 1 mixture, however, this peptide forms aggregates that are detectable at 293 K by ESR in liquid solution, as well as by PELDOR in frozen, glassy solution at 77 K. In liquid solution, free alamethicin molecules and their aggregates show rotational-mobility correlation times tau(r) of 0.87 and 5.9 ns, resp. Based on these values and analysis of dipole-dipole interactions of the TOAC labels in the aggregates, as determined by PELDOR, the average number N of alamethicin molecules in the aggregates is estimated to be less than nine. A distance-distribution function between spin labels in the supramolecular aggregate was obtained. This function exhibits two maxima: a broad one at a distance of 3.0 nm, and a wide one at a distance of ca. 7 nm. A molecular-dynamics (MD)-based model of the aggregate, consisting of two parallel tetramers, each composed of four molecules arranged in a 'head-to-tail' fashion, is proposed, accounting for the observed distances and their distribution.