2 edition of **Determination of critical point geometries of conformational energy hypersurfaces.** found in the catalog.

Determination of critical point geometries of conformational energy hypersurfaces.

Michael Roy Peterson

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- 35 Currently reading

Published
**1980**
.

Written in English

The Physical Object | |
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Pagination | 197 leaves |

Number of Pages | 197 |

ID Numbers | |

Open Library | OL14696898M |

Point-Group Determination. There are many schemes for the determination of point-group symmetry of an object. Most follow some sort of flow-diagram type logic scheme such as the much simplified one below, which can be used to identify triclinic, monoclinic, and orthorhombic point groups. Crystals of 1,6-hexanedioic acid (I) undergo a temperature-dependent reversible phase transition from monoclinic P21/c at a temperature higher than the critical temperature (Tc) K to another monoclinic P21/c at temperature lower than Tc. The phase transition is of first order, involving a discontinuity and a tripling of the b-axis at Tc whereas the other unit cell parameters vary continuously.

A Two-Metal-Ion-Mediated Conformational Switching Pathway for HDV Ribozyme Activation Tai-Sung Lee, Brian K. Radak, Michael E. Harris, Darrin M. York ACS Catal. () 6, DOI: /acscatal.5b The signatures of two pairs of critical points are complementary if the following conditions are true: (1) a knob from one molecule matches a hole from the other molecule; (2) the difference between the distance between both critical points in each signature is.

Fig. 5 Molecular graph of isolated molecule 1a (as an example) showing the bond paths and Bond Critical Points (BCP) in the studied system. The small green and red spheres indicate the (3, −1) BCP and (3, +1) RCP (Ring Critical Point) in ρ(r), respectively. Dashed bonds show weak intramolecular interactions of the C–H⋯O type. The indirect determination of PO 3 3– by precipitating Hg 2 Cl 2 is an ex-ample, as is the direct determination of Cl– by precipitating AgCl. In electrogravimetry, we deposit the analyte as a solid film an elec-trode in an electrochemical cell. The deposition as PbO 2 at a Pt anode is one example of electrogravimetry. The reduction of Cu2.

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M.R. Peterson “Determination of Critical Point Geometries of Conformational Energy Hypersurfaces” University of Toronto, Ph.D. Thesis Google Scholar by: If the first derivative of an energy curve or surface associated to a particular conformation along one of the dimensions is zero, this indicates a critical point.

Furthermore, the second derivative by a variable also can be determined: (1) H ij = ∂ 2 E ∂ x i ∂ y j, where x i and y i are any of the internal coordinates of the by: 7. The hydrocarbon chain conformational free energy has been calculated for different geometries by Gruen and de Lacey [35, 36] as well as by Ben-Shaul et al.

[37–40] using mean field single-chain models for a hydrocarbon chain subjected to packing constraints imposed by the geometry of.

Critical points and reaction paths characterization on a potential energy hypersurface Article (PDF Available) in The Journal of Chemical Physics (11) March with 86 Reads. Several conformational potential energy (hyper)surfaces are analyzed in terms of these relationships, including two containing lines of degeneracy and degenerate critical points.

INTRODUCTION In the course of investigations of conformational potential energy surfaces and hypersurfaces (PES), prior knowledge concerning the numbers of the various types of critical Cited by: Lower and upper bounds are derived for the number of critical points of all indices λ(λ=0, ⋯n), for potential energy hypersurfaces defined over a subset S of the nuclear configuration space nR.

All the BCPs (Bound Critical Points) found present two negative eigenvalues (λ 1 and λ 2) and one positive (λ 3) corresponding to a (3, −1) BCP type. All the geometries of these hydrogen bonds correspond to a length bond H⋯Y in the order of – Å; whereas the bond angles X H⋯Y range from ° to.

Are Bond Critical Points Really Critical for Hydrogen Bonding. Joseph R. Lane*, Extension of the AMBER Force Field for Nitroxide Radicals and Combined QM/MM/PCM Approach to the Accurate Determination of EPR Parameters of DMPO-H in Solution. Laura Hermosilla Conformational Sampling by Ab Initio Molecular Dynamics Simulations Improves NMR.

Conformational Dynamics of Matrix Metalloproteinase-1Triple-Helical Peptide Complexes. Quasiharmonic Analysis of the Energy Landscapes of Dihydrofolate Reductase from Piezophiles and Mesophiles. Qi Huang; Computational Signaling Protein Dynamics and Geometric Mass Relations in Biomolecular Diffusion.

Christopher J. Fennell*. Implementation of a Protein Reduced Point Charge Model toward Molecular Dynamics Applications. Tuning the Interaction Energy of Hydrogen Bonds: The Effect of the Substituent.

Ignasi Mata*, Elies Molins, The Conformational and Electronic Properties of 3,7-Dithia-1,5-diazabicyclo[]nonane from the QTAIM Perspective. Critical Point Theory and discuss the celebrated Mountain Pass Theorem of Am-brosetti and Rabinowitz [1]. The approach here follows the presentation in the book of Jabri [3].

Geometric Analysis Variational and topological methods have proved to be powerful tools in the. Abstract. Some of the recent advances in the topological theory of molecular conformational analysis are reviewed. A formal proof is given for the continuity of energy functionals over a special “reduced” nuclear configuration space, obtained by reducing entire families of equivalent configurations to individual points of a space.

"Critique of the Cluster Theory of Critical Point Density Fluctuations," F. Stillinger and H. Frisch, Phys to the book Physical and Chemical Properties of Water, A Bibliography, "Collective Phenomena in Statistical Mechanics and the Geometry of Potential Energy Hypersurfaces," F. Stillinger.

The temperature dependence of the critical diameter of the HVD of pure nitromethane was also demonstrated by conical geometry and was compared to the values of cylindrical geometry.

The method was originally proposed as a joint US/German effort between Dr. An analytical conformational hypersurface was fitted to a total of 64 ab initio SCF energy points for formic acid.

The geometries of the syn and anti minima, and the OH rotation and C-O-H in-plane. Nine critical points, detailed in Table 2, were located in the 0 3 I> 0 portion of the conformational unit cell.

The remaining critical points in the unit cell may be found using the equivalent conformation rule given above. The only minimum, Oa, is pyramidal (Cs symmetry), with both methyl groups approximately staggered relative to the CO bond. A simple proof is presented for a fundamental topological property of catchment regions of potential energy hypersurfaces: each catchment region C(λ,i), representing a chemical species and its.

The classic 'Fredrickson–Anderson' (FA) kinetically-constrained lattice model has an equilibrium critical point at zero temperature; however, glass transition temperatures have been defined in the context of that model based on when the relaxation lifetime surpasses a. Understanding the Hydrogen Bond in Terms of the Location of the Bond Critical Point and the Geometry of the Lone Pairs.

The Journal of Physical Chemistry A(31), DOI: /jpm. Atoms in Molecules (AIM) theory is routinely used to assess hydrogen bond formation; however its stringent criteria controversially exclude some systems that otherwise appear to exhibit weak hydrogen bonds. We show that a regional analysis of the reduced density gradient, as provided by the recently introduced Non-Covalent Interactions (NCI) index, transcends AIM theory to deliver a.

Title: A Complete Hypergeometric Point Count Formula for Dwork Hypersurfaces Authors: Heidi Goodson (Submitted on 31 Oct (v1), last revised 29 Jun (this version, v2)).For each method, geometry optimizations were performed.

e requested convergence on the maximum density matrix was a.u. the threshold value of the maximum displacement was A ∘ and. We develop a new approach to the conformal geometry of embedded hypersurfaces by treating them as conformal infinities of conformally compact manifolds.

This involves the Loewner--Nirenberg-type problem of finding on the interior a metric that is both conformally compact and of constant scalar curvature.

Our first result is an asymptotic solution to all orders. This involves log .