The simultaneous isotopic analysis of lithium and boron by the Li 2 BO 2 ion beam method involves measurements of two different molecular abundance ratios (say, R j AEd j and R k AEd k ), and subsequently extensive calculations to arrive at the analyte isotopic ratios (say, L and Y). It is not prese
Polynomial method of molecular isotopic abundance calculations: a computational note
β Scribed by B. P. Datta
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 183 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0951-4198
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β¦ Synopsis
The exact abundances of isotopically labeled molecules of any given stoichiometry are calculated via the method of polynomial expansion of elemental isotopic abundance terms. The program-size for a polynomial expansion, viz. (β’ i = 1 N x i ) q , is known to be decided by the number, N, of variables. In this paper we present, however, a new set of arguments which makes the program-size independent of N. The new program can execute a sum of any number of variables (x i ) and hence is a general one. Using our program, the results obtained, viz. the predicted abundance patterns of molecular assemblies due to a hypothetical element 'X', having more than ten stable isotopes, are presented here.
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## Abstract Evaluation of longβrange Coulombic interactions still represents a bottleneck in the molecular dynamics (MD) simulations of biological macromolecules. Despite the advent of sophisticated fast algorithms, such as the fast multipole method (FMM), accurate simulations still demand a great