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Since the hydrodynamic mass depends on R, we have computed w (R) using several M* values between M* =40 a.u., which corresponds to the mass in the bulk liquid, and the free Mg mass M* =24 a.u. This yields the band of w (R) values displayed in the figure.
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Since the hydrodynamic mass depends on R, we have computed w (R) using several M* values between M* =40 a.u., which corresponds to the mass in the bulk liquid, and the free Mg mass M* =24 a.u. This yields the band of w (R) values displayed in the figure.
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We note at this point that a quantitative estimation of the energy barrier height temporarily preventing the collapse of two Mg atoms into a dimer is made difficult by the fact that its actual value is determined by a delicate balance between the Mg-He interactions and the long-range part of the Mg-Mg interaction in vacuum, which is affected by some uncertainty (see Refs.). Any small difference in the van der Waals tail of the Mg-Mg interaction at distances of ∼9-10 Å would result in a large change in the estimated barrier height. Moreover, we want also to stress the difficulty of estimating the attempting frequency [inverse of the prefactor multiplying the exponential in Eq. 20], in view of the kind of configurations appearing in this problem; see, e.g., Fig. 9.
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We note at this point that a quantitative estimation of the energy barrier height temporarily preventing the collapse of two Mg atoms into a dimer is made difficult by the fact that its actual value is determined by a delicate balance between the Mg-He interactions and the long-range part of the Mg-Mg interaction in vacuum, which is affected by some uncertainty (see Refs.). Any small difference in the van der Waals tail of the Mg-Mg interaction at distances of ∼9-10 Å would result in a large change in the estimated barrier height. Moreover, we want also to stress the difficulty of estimating the attempting frequency [inverse of the prefactor multiplying the exponential in Eq. 20], in view of the kind of configurations appearing in this problem; see, e.g., Fig. 9.
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