We describe a new and simple way to compute the linear and non-linear response of sell similar electrodes. This method applies in principle to arbitrary irregular geometry and it permits to predict generally that the slope of the Tafel plot is divided by the fractal dimension. We present here a new
Linear scaling approaches to quantum macromolecular similarity: Evaluating the similarity function
✍ Scribed by Pere Constans
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 387 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0192-8651
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✦ Synopsis
Abstract
The evaluation of the electron density based similarity function scales quadratically with respect to the size of the molecules for simplified, atomic shell densities. Due to the exponential decay of the function's atom‐atom terms most interatomic contributions are numerically negligible on large systems. An improved algorithm for the evaluation of the Quantum Molecular Similarity function is presented. This procedure identifies all non‐negligible terms without computing unnecessary interatomic squared distances, thus effectively turning to linear scaling the similarity evaluation. Presented also is a minimalist dynamic electron density model. Approximate, single shell densities together with the proposed algorithm facilitate fast electron density based alignments on macromolecules. © 2002 Wiley Periodicals, Inc. J Comput Chem 23: 1305–1313, 2002
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Quantum similarity measures were used to estimate dissociation constants for acid-base equilibria. It is proposed that the dissociation constant of a carboxylic acid may be described by the electronic density function of the COOH group and quantified by the self-similarity measure of this fragment.