The Mathematics behind Speciated Isotope Dilution Mass Spectrometry

Author

Jingyan Sun

Defense Date

7-26-2007

Graduation Date

2007

Availability

Immediate Access

Submission Type

thesis

Degree Name

MS

Department

Computational Mathematics

School

McAnulty College and Graduate School of Liberal Arts

Committee Chair

John C. Kern

Committee Member

H. M. Skip Kingston

Committee Member

John Fleming

Committee Member

Mark Mazur

Keywords

deterministic method, iterative method, matrix method, Newton's method, SIDMS

Abstract

Speciated Isotope Dilution Mass Spectrometry (SIDMS) allows researchers to measure the concentrations of species -- usually elemental -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates.

Format

PDF

Language

English

Recommended Citation

Sun, J. (2007). The Mathematics behind Speciated Isotope Dilution Mass Spectrometry (Master's thesis, Duquesne University). Retrieved from https://dsc.duq.edu/etd/1253