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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 49 (1978), S. 115-122 
    ISSN: 1432-2234
    Keywords: CNDO method, special variant of ∼, includingd-functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A modified handling of thed-functions within the CNDO framework is presented. No change of the (CNDO/2) atomic parameters is necessary from sodium to iodine. One-centre kinetic energy contributions to the core-matrix elements are introduced explicitly. The calculation of dipole moments and equilibrium geometries (estimated with the aid of analytically calculated gradients of the molecular energy) of 45 molecules gives good results,sp- andspd-CNDO/2 have been applied for comparison. Some examples are presented, where the shortcomings of the conventional CNDO/2 are no longer present. A qualitatively accurate picture of the dipole moments of X-Y-molecules (X: Halogen; Y: Hydrogen, Halogen, Alkyl-) is achieved.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 58 (1980), S. 73-79 
    ISSN: 1432-2234
    Keywords: Critical points ; Potential energy surface ; Analysis of force constant matrix ; Classification method for critical (i.e. stationary) points ; Ethylbenzene
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A simple classification scheme is proposed for critical points, based only on rankr and signatures of the (n,n)-matrixG of harmonic force constants. The determination ofr ands, e.g. by the well-known factorizationG=L T gL (L: triangular matrix,g: diagonal matrix), has several theoretical as well as practical (computational) advantages over the inspection of eigenvalues ofG, so far used in quantum chemistry. The eigenvalues are sufficient butnot necessary for a classification whereas rank and signature are the only necessary and sufficient prerequisites for solving the task. For the purpose of presenting a working example, by calculating only a 2×2 torque constant matrix, it is shown that the coplanar ethylbenzene is unstable in the CNDO/2 picture.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 49 (1978), S. 115-122 
    ISSN: 1432-2234
    Keywords: CNDO method, special variant of ∼, includingd-functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A modified handling of thed-functions within the CNDO framework is presented. No change of the (CNDO/2) atomic parameters is necessary from sodium to iodine. One-centre kinetic energy contributions to the core-matrix elements are introduced explicitly. The calculation of dipole moments and equilibrium geometries (estimated with the aid of analytically calculated gradients of the molecular energy) of 45 molecules gives good results,sp- andspd-CNDO/2 have been applied for comparison. Some examples are presented, where the shortcomings of the conventional CNDO/2 are no longer present. A qualitatively accurate picture of the dipole moments of X-Y-molecules (X: Halogen; Y: Hydrogen, Halogen, Alkyl-) is achieved.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 67 (1985), S. 235-243 
    ISSN: 1432-2234
    Keywords: CNDO method ; bromine compounds ; parametrization ; method ; geometries ; conformations ; dipole moments
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Bromine parameters are proposed, matching well the standard values of first and second row atoms, as introduced by Pople et al. This is shown by comparisons of geometries, configurations, conformations, and dipole moments, obtained with different approaches. The new parameter set was found in a very simple and efficient way that may also be useful for other tasks, e.g. in non-empirical calculations.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 53 (1979), S. 279-292 
    ISSN: 1432-2234
    Keywords: Geometry optimization ; Symmetry conservation ; Transformation of molecular coordinates
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The objective of this paper is to analyze the behaviour of some minimization methods such as steepest descent method, generalized Newton and quasi-Newton methods under transformations of the variables of the function to be minimized. Energy and molecular coordinates are the function and the variables, respectively, in the case of geometry optimizations. Invariant levels are shown to be decisive for the area where the minimization methods can be successfully employed without rescaling of the coordinates. Specific conditions for symmetry conservation are worked out in context of invariant levels. Symmetry making, breaking and conservation are shown with working examples of geometry optimizations and calculation of energy minimum paths on the basis of certain kinds of molecular coordinates.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 13 (1978), S. 155-158 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The hypothesis is introduced, that nonrigid drug molecules interact with biological receptors in a well-defined but unknown conformation that need not belong to an energy minimum. A verification of this assumption has to include a match of conformation and chirality. Even the different action of pairs of nonrigid enantiomers allow one to recognize uniquely the important role of conformations because flexible molecules are partially able to avoid wrong attachment to the receptor. According to a simple model, a monotonic relation between biological activity and rotational barriers (and/or torque constants) can be expected and, by means of rank correlation analysis of adrenergic activities, has been found, too. In order to apply the latter method, particularities concerning quantitative structure-activity analyses of nonrigid and/or chiral molecules are worked out. We optimized conformations by means of analytically calculated first partials of the energy and a quasi-Newton method. Using a convenient numerical method, it was shown that coplanar conformations of catecholamines are generally unstable. Moreover, CNDO/2 proved to be a reliable method for conformational studies, in which rotations about conjugated bonds [1] are not considered.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 12 (1977), S. 827-839 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A new method for the numerical calculation of (inverse) square roots of real symmetric matrices is proposed. Simplicity of the algorithm, good numerical accuracy, short computational time and the possibility to solve the problem in an (n, n) array are some of its features; in addition a new theoretical view on this problem is presented.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 3 (1982), S. 277-282 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A simple but efficient coupled iteration procedure is proposed for searching saddle points and extrema along the line of constrained minimum energy paths by (analytical) calculation of the derivatives, i.e., the reduced forces and reduced force constants. The advantage of the method is shown with analytical potentials as well as a calculation of HCH—HNC rearrangement, as working examples.
    Additional Material: 3 Ill.
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  • 10
    Publication Date: 1982-11-01
    Print ISSN: 0021-9606
    Electronic ISSN: 1089-7690
    Topics: Chemistry and Pharmacology , Physics
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