The fourth virial coefficient is calculated exactly for a fluid of hard spheres in even dimensions. For this purpose the complete star cluster integral expressed as sum two three-folded integrals only involving spherical angular coordinates. These are solved anallytically any dimension d and working with existing expressions other terms we obtain an expression B4(d) that sums finite number simp...

A Monte Carlo study is made of the mean-square radius of gyration S(2) and second virial coefficient A(2) for the two freely rotating chains with the Lennard-Jones (LJ) 6-12 potential and the hard-sphere (HS) one in the range of the bond angle theta from 109 degrees (typical flexible chain) to 175 degrees (typical semiflexible or stiff chain) and in the range of the number n of bonds from 6 to ...

In a recent paper entitled “High temperature expansion applied to fermions near Feshbach resonance”, (Phys. Rev. Lett. 92 160404 (2004)), Ho and Mueller have demonstrated a remarkable similarity between its high and low temerature properties at resonance. The quantum second virial coefficient plays a crucial role in their analysis, and has a universal value at resonance. In this paper, we explo...

• Remarks and observations: (1) The tail of the van der Waals attractive potential (∝ r) extends to very long sep­ arations. Yet, its integral in eq.(V.39) is dominated by contributions from the short scales r0. In this limited context, the van der Waals potential is short-ranged, and results in corrections to the ideal gas behavior that are analytical in density n, leading to the virial series...

The third interaction virial coefficient Caww for a ir-water vapor mixtures is estimated in the temperature range 0 to 100 °C, by means of an approximate method based on molec ular assoc iation . The res ult s are believed accurate to within a fac tor of two. The value of CawlV can be combined with prev ious es timates of the other interaction coefficient C",m and the values of the third virial...

A number of citations in the article by Wilson & DeLucas [(2014). Acta Cryst. F70, 543-554] are corrected.