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However, the issue of infinite lattices, addressed through a sphere constraint, appears when working with the classical considerations.
Later on, their basic solution has been improved by proposing to model the sphere constraint in a reduced domain or by introducing efficient symbols' enumeration algorithm [23].
Within the Debye Hückel approximation, the external field generated by a uniformly charged plane perpendicular to the z-axis is 1where z is the distance between the particle center and the wall; the minimum particle wall distance is z = σ because of the hard sphere constraint.
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If d M respects the sphere radius constraint, the search continues at level M−1 and steps down the tree at level l until finding a valid leaf node at level 1.
In other spheres that constraint is not so marked.
With the hard-sphere plus stereochemical constraint model, we obtain agreement between the model predictions and the observed side-chain dihedral angle distributions for Leu and Ile.
Here we employ a hard-sphere plus stereochemical constraint model of dipeptide mimetics to enumerate the side-chain dihedral angles of leucine (Leu) and isoleucine (Ile), and identify those conformations that are sterically allowed versus those that are not as a function of the backbone dihedral angles ϕ and ψ.
Uniformly distributed point sets on the unit sphere with and without symmetry constraints have been found useful in many scientific and engineering applications.
It is proposed, but not proven, that the modification relates to greater constraint in compact spheres as opposed to tall pillars.
Phosphorothioates with ΔP ≥ 1.0 ppm were considered as inner-sphere ligands, and a distance constraint of 1.8 2.2 Å was defined between a Mg2+ center and the modified nonbridging phosphate oxygen.
Lewis has argued against having the Limit Assumption as a constraint on system of spheres models.
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