Structural and thermodynamic properties of hydrogen molecular clusters formed around an atomic or molecular cation are examined. The shell distribution of H2 molecules and the size of the clusters are discussed. The Bloom-Margenau model for predicting the number of neutral molecules that could bind to a cation core is investigated and its limitations are illustrated using the Li + (H2) k clusters as test case. Finally, results for the entropy of the H + n clusters (n = 5 − 27, odd) and for the Gibbs free energy variations associated to the cluster formation are presented and the spontaneity of the clustering process in different conditions is examined.
I IntroductionThe presence of a cation in a molecular hydrogen environment leads to the formation of molecular clusters around the ion. In the case of an H 2 homogeneous atmosphere, an H + 2 ion is quickly converted to the H + 3 molecule, which becomes the core for the clustering processwhere the exceeding H 2 molecule carries away the excess of energy, stabilizing the cluster. From these multiple-steps reactions, H + n clusters (n odd) are formed, and clusters as large as H + 99 have been observed [1]. Depending on the temperature and pressure conditions, the H + 15 and H + 17 clusters are the more abundant.One of the most interesting features of these species is that in the cluster, each H 2 molecule is strongly bound by the coulombian field of the cation. This may be very useful when dealing with hydrogen storage problems.In the last decade, ab initio calculations have been performed to clusters as large as H + 35 [2][3][4][5][6][7][8][9][10][11][12]. Recently, more attention has been dedicated to the H + 5 cluster. Its potential energy surface has been studied at high levels of calculation [13,14] and its presence in some interstellar environments in concentrations up two times higher than that of the H + 3 molecule has been investigated [15].Besides the H + 3 molecular ion, a large variety of atomic and molecular cations has been considered as a core for H 2 clustering: the first-column Li + , Na + and K + ions [16][17][18][19][20][21][22] Table I summarizes some properties of these X + (H 2 ) k hydrogen clusters.The experimental work on the hydrogen clusters has been concentrated on enthalpy variation measurements (∆H) [16,24,25,26,31,33] and collisional induced dissociation (CID) studies [34,35,36,37]. The ∆H measurements for the H + n clusters and for the most general X + (H 2 ) k clusters have been an important source of information about the cluster energetic properties and have guided the theoretical studies. On the other hand, the CID studies have revealed patterns for the cluster dissociation and their dependence on the shell structure of H 2 distribution. Hitherto, very few theoretical and experimental attention has been payed to the vibrational properties and the infrared spectra of the hydrogen clusters, these studies being basically restricted to the H + 5 species [38,39]. For clusters larger than the H + 5 one, only a few experimental results are...