Differential reactivity of the inner and outer positions of Au25(SCH2CH2Ph)18 dimeric staples under place exchange conditions

The kinetic anal. of the place exchange reaction on the neutral Au25(SCH2CH2Ph)\u200b18 cluster by using 4-\u200bfluorobenzylthiol and a series of substituted arylthiols allowed us to establish, for the first time, that the selectivity for the inner and outer positions of the dimeric staples of the cluster can be modulated by using incoming thiols with different structures

On the Fundamental Line of Galactic and Extragalactic Globular Clusters

In a previous paper we found that the Globular Clusters of our Galaxy lie around a line in the log(Re), SBe, log(sigma) parameter space, with a moderate degree of scatter and remarkable axi-symmetry. This implies the existence of a purely photometric scaling law obtained by projecting such a line onto the log(Re), SBe plane. Such photometric quantities are readily available for large samples of clusters, as opposed to stellar velocity dispersion data. We study a sample of 129 Galactic and extragalactic clusters on such photometric plane in the V-band. We look for a linear relation between SBe and log(Re) and study how the scatter around it is influenced by age and dynamical environment. We interpret our results as a test on the evolutionary versus primordial origin of the Fundamental Line. We perform a detailed analysis of surface brightness profiles, which allows us to present a catalogue of structural properties, without relying on a given dynamical model. We find a linear relation between SBe and log(Re), in the form SBe = (5.25 +- 0.44) log(Re) + (15.58 +- 0.28), where SBe is measured in mag/arcsec^2 and Re in parsec. Both young and old clusters lie on the scaling law, with a scatter of approximately 1 mag in SBe. However, young clusters display more scatter and a clear trend of such scatter with age, which old clusters do not. Such trend becomes tighter if cluster age is measured in units of the cluster half-light relaxation time. Two-body relaxation therefore plays a major role, together with passive stellar population evolution, in shaping the relation between SBe, log(Re), and cluster age. We argue that the log(Re)-SBe relation and hence the Fundamental Line scaling law is not primordially set at cluster formation, but rather is the result of combined stellar evolution and collisional dynamical evolution.Comment: Accepted for publication on Astronomy and Astrophysics, official acceptance date November 2, 200

Star count density profiles and structural parameters of 26 Galactic globular clusters

We used a proper combination of high-resolution HST observations and wide-field ground based data to derive the radial star density profile of 26 Galactic globular clusters from resolved star counts (which can be all freely downloaded on-line). With respect to surface brightness (SB) profiles (which can be biased by the presence of sparse, bright stars), star counts are considered to be the most robust and reliable tool to derive cluster structural parameters. For each system a detailed comparison with both King and Wilson models has been performed and the most relevant best-fit parameters have been obtained. This is the largest homogeneous catalog collected so far of star count profiles and structural parameters derived therefrom. The analysis of the data of our catalog has shown that: (1) the presence of the central cusps previously detected in the SB profiles of NGC 1851, M13 and M62 is not confirmed; (2) the majority of clusters in our sample are fitted equally well by the King and the Wilson models; (3) we confirm the known relationship between cluster size (as measured by the effective radius) and galactocentric distances; (4) the ratio between the core and the effective radii shows a bimodal distribution, with a peak at ~ 0.3 for about 80% of the clusters, and a secondary peak at ~ 0.6 for the remaining 20%. Interestingly, the main peak turns out to be in agreement with what expected from simulations of cluster dynamical evolution and the ratio between these two radii well correlates with an empirical dynamical age indicator recently defined from the observed shape of blue straggler star radial distribution, thus suggesting that no exotic mechanisms of energy generation are needed in the cores of the analyzed clusters.Comment: Accepted for publication in The Astrophysical Journal; 19 pages (emulateapj style), 15 figures, 2 table

The binary fraction in the globular cluster M10 (NGC 6254): comparing core and outer regions

We study the binary fraction of the globular cluster M10 (NGC 6254) as a function of radius from the cluster core to the outskirts, by means of a quan- titative analysis of the color distribution of stars relative to the fiducial main sequence. By taking advantage of two data-sets, acquired with the Advanced Camera for Survey and the Wide Field Planetary Camera 2 on board the Hubble Space Telescope, we have studied both the core and the external regions of the cluster. The binary fraction is found to decrease from 14% within the core, to 1.5% in a region between 1 and 2 half-mass radii from the cluster centre. Such a trend and the derived values are in agreement with previous results ob- tained in clusters of comparable total magnitude. The estimated binary fraction is sufficient to account for the suppression of mass segregation observed in M10, without any need to invoke the presence of an intermediate-mass black hole in its centre.Comment: Accepted for publication in ApJ (22 pages, 7 figures, 3 tables

The extended halo of NGC 2682 (M 67) from Gaia DR2

Context: NGC 2682 is a nearby open cluster, approximately 3.5 Gyr old. Dynamically, most open clusters should dissolve on shorter timescales, of ~ 1 Gyr. Having survived until now, NGC 2682 was likely much more massive in the past, and is bound to have an interesting dynamical history. Aims: We investigate the spatial distribution of NGC 2682 stars to constrain its dynamical evolution, especially focusing on the marginally bound stars in the cluster outskirts. Methods: We use Gaia DR2 data to identify NGC 2682 members up to a distance of ~150 pc (10 degrees). Two methods (Clusterix and UPMASK) are applied to this end. We estimate distances to obtain three-dimensional stellar positions using a Bayesian approach to parallax inversion, with an appropriate prior for star clusters. We calculate the orbit of NGC 2682 using the GRAVPOT16 software. Results: The cluster extends up to 200 arcmin (50 pc) which implies that its size is at least twice as previously believed. This exceeds the cluster Hill sphere based on the Galactic potential at the distance of NGC 2682. Conclusions: The extra-tidal stars in NGC 2682 may originate from external perturbations such as disk shocking or dynamical evaporation from two-body relaxation. The former origin is plausible given the orbit of NGC 2682, which crossed the Galactic disk ~40 Myr ago.Comment: 9 pages, 5 figures, accepted for publication on A&

The dynamical state of the Globular Cluster M10 (NGC 6254)

Studying the radial variation of the stellar mass function in globular clusters (GCs) has proved a valuable tool to explore the collisional dynamics leading to mass segregation and core collapse. In order to study the radial dependence of the luminosity and mass function of M 10, we used ACS/HST deep high resolution archival images, reaching out to approximately the cluster's half-mass radius (rhm), combined with deep WFPC2 images that extend our radial coverage to more than 2 rhm. From our photometry, we derived a radial mass segregation profile and a global mass function that we compared with those of simulated clusters containing different energy sources (namely hard binaries and/or an IMBH) able to halt core collapse and to quench mass segregation. A set of direct N-body simulations of GCs, with and without an IMBH of mass 1% of the total cluster mass, comprising different initial mass functions (IMFs) and primordial binary fractions, was used to predict the observed mass segregation profile and mass function. The mass segregation profile of M 10 is not compatible with cluster models without either an IMBH or primordial binaries, as a source of energy appears to be moderately quenching mass segregation in the cluster. Unfortunately, the present observational uncertainty on the binary fraction in M10 does not allow us to confirm the presence of an IMBH in the cluster, since an IMBH, a dynamically non-negligible binary fraction (~ 5%), or both can equally well explain the radial dependence of the cluster mass function.Comment: 15 pages, 8 figures, accepted for publication on Ap

Merging black holes in young star clusters

Searching for distinctive signatures, which characterize different formation channels of binary black holes (BBHs), is a crucial step towards the interpretation of current and future gravitationalwave detections.Here, we investigate the demography ofmerging BBHs in young star clusters (SCs), which are the nursery of massive stars. We performed 4 7 103 N-body simulations of SCs with metallicity Z = 0.002, initial binary fraction 0.4, and fractal initial conditions, to mimic the clumpiness of star-forming regions. Our simulations include a novel population-synthesis approach based on the code MOBSE. We find that SC dynamics does not affect the merger rate significantly, but leaves a strong fingerprint on the properties of merging BBHs. More than 50 per cent of merging BBHs in young SCs form by dynamical exchanges in the first few Myr. Dynamically formed merging BBHs are significantly heavier than merging BBHs in isolated binaries: merging BBHs with total mass up to ~120M 99 form in young SCs, while the maximum total mass of merging BBHs in isolated binaries with the same metallicity is only ~70 M 99. Merging BBHs born via dynamical exchanges tend to have smaller mass ratios than BBHs in isolated binaries. Furthermore, SC dynamics speeds up the merger: the delay time between star formation and coalescence is significantly shorter in young SCs. In our simulations, massive systems such as GW170729 form only via dynamical exchanges. Finally ~2 per cent of merging BBHs in young SCs have mass in the pair-instability mass gap (~60-120 M 99). This represents a unique fingerprint of merging BBHs in SCs

Stereoselective Solvolysis in the Synthesis of Dorzolamide Intermediates

The key intermediate in the synthesis of dorzolamide,(4S,6S)-methyl-5,6-dihydro-4H-thieno[2,3-b]thiopyran-4-ol-7,7-dioxide,can beobtained in the diastereoisomerically pure form in two straightforwardsteps starting from diastereoisomeric mixtures of cis/trans-(6S)-6-methyl-5,6-dihydro-4H-thieno[2,3-b]thiopyran-4-yl acetate,regardless of their ratio. The reaction of crucial importance in thisscheme is a remarkably stereoselective solvolysis of the acetate esterin an acetone/phosphate buffer mixture as the solvent system. Investigationof this so far unrecognized stereoselective reaction reveals thatit proceeds via an S(N)1-like pathway as indicated by thecorrelation of the solvolysis rate constants with the Y (OTs) values of different solvent mixtures and by trappingof the reaction intermediate with sodium azide. The structure of (4S,6S)-methyl-5,6-dihydro-4H-thieno[2,3-b]thiopyran-4-ol-7,7-dioxide was confirmedby single-crystal X-ray analysis

Probing the role of dynamical friction in shaping the BSS radial distribution. I - Semi-analytical models and preliminary N-body simulations

We present semi-analytical models and simplified $N$-body simulations with $10^4$ and $10^5$ particles aimed at probing the role of dynamical friction (DF) in determining the radial distribution of Blue Straggler Stars (BSSs) in globular clusters. The semi-analytical models show that DF (which is the only evolutionary mechanism at work) is responsible for the formation of a bimodal distribution with a dip progressively moving toward the external regions of the cluster. However, these models fail to reproduce the formation of the long-lived central peak observed in all dynamically evolved clusters. The results of $N$-body simulations confirm the formation of a sharp central peak, which remains as a stable feature over the time regardless of the initial concentration of the system. In spite of a noisy behavior, a bimodal distribution forms in many cases, with the size of the dip increasing as a function of time. In the most advanced stages the distribution becomes monotonic. These results are in agreement with the observations. Also the shape of the peak and the location of the minimum (which in most of the cases is within 10 core radii) turn out to be consistent with observational results. For a more detailed and close comparison with observations, including a proper calibration of the timescales of the dynamical processes driving the evolution of the BSS spatial distribution, more realistic simulations will be necessary.Comment: Accepted for publication by ApJ; 11 pages, 11 figure