Calculation of statistical attributes in small regions of separations: Variation of overlap probability along the separation coordinate
✍ Scribed by Joe M. Davis
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 944 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1040-7685
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Theory based on the extended statistical model of overlap (SMO) is proposed to predict the numbers of components in small regions of separations and the likelihood of overlap along the separation coordinate. The extended SMO is an expansion of theory begun a decade ago and, unlike its predecessor, allows one to estimate statistical parameters from separations containing peaks of variable density. These estimations are made possible by frequencies that scale the relative density of peaks. Using a frequency determined from a complex separation, one can critique overlap in small regions of the separation containing as few as five components. The ability to quantify overlap in small regions allows one to characterize local overlap patterns that would be obscured by interpretation of large regions. Furthermore, with the frequency, the probability of forming singlet and multiplet peaks can be calculated along the separation coordinate. Unlike with earlier theory, the frequency allows the values of these probabilities to change continuously throughout the separation. Applications of theory are made to four gas chromatograms of lime oil, which were developed by different temperature programs to vary the peak density therein.