2008
DOI: 10.1142/s0217984908017679
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State Equation for the Three-Dimensional System of "Collapsing" Hard Spheres

Abstract: MathematicsBy Wertheim method the exact solution of the Percus-Yevick integral equation for a system of particles with the "repulsive step potential" interacting ("collapsing" hard spheres) is obtained. On the basis of this solution the state equation for the "repulsive step potential" is built and determined, that the Percus-Yevick equation does not show the Van der Waalse loop for "collapsing" hard spheres.

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Cited by 3 publications
(2 citation statements)
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“…Structure factors at 10 and 54 mg/mL were obtained by division of the measured SANS and SAXS data at high concentration by the protein form factor. At 10 mg/mL, the structure factor was found to be close to unity, and at 54 mg/mL, the structure factor showed modulations, which could be described by an effective hard sphere structure factor 20 with a fitted volume fraction of ϕ = 3.3% and an effective hard sphere radius of R HS = 41 Å (see Figure S2). The MBP solution is well below the critical overlap concentration c* = M/(4/3πN A R G 3 ) of 202 (188) mg/mL for the R G determined by SAXS (SANS).…”
Section: Resultsmentioning
confidence: 95%
“…Structure factors at 10 and 54 mg/mL were obtained by division of the measured SANS and SAXS data at high concentration by the protein form factor. At 10 mg/mL, the structure factor was found to be close to unity, and at 54 mg/mL, the structure factor showed modulations, which could be described by an effective hard sphere structure factor 20 with a fitted volume fraction of ϕ = 3.3% and an effective hard sphere radius of R HS = 41 Å (see Figure S2). The MBP solution is well below the critical overlap concentration c* = M/(4/3πN A R G 3 ) of 202 (188) mg/mL for the R G determined by SAXS (SANS).…”
Section: Resultsmentioning
confidence: 95%
“…In summary, the approximation presented in Ref. 7 is not the solution of the PY integral equation for the interaction potential (1), in contrast to what is claimed by Klebanov et al The flaw in their derivation could be due to the fact that, at a given point, the authors discard the product G(t)F (−t) when manipulating Eq.…”
Section: Resultsmentioning
confidence: 86%