+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Error-systematics of determining elemental isotopic abundance ratios by the molecular ion beam method: a case study for the simultaneous isotopic analysis of lithium and boron as Li2BO2+

, : Error-systematics of determining elemental isotopic abundance ratios by the molecular ion beam method: a case study for the simultaneous isotopic analysis of lithium and boron as Li2BO2+. Rapid Communications in Mass Spectrometry 14(8): 696-705

The simultaneous isotopic analysis of lithium and boron by the Li2BO2+ ion beam method involves measurements of two different molecular abundance ratios (say, Rj+/-delta(j) and Rk+/-delta(k)), and subsequently extensive calculations to arrive at the analyte isotopic ratios (say, L and Y). It is not presently known how the measurement errors (delta(j) and delta(k)) are transformed into the errors of analysis (deltaL and deltaY). This work addresses this question from fundamental considerations. In the literature, the calculations are sometimes simplified using Ri formulae based on Li2B16O2+ ions and then applying correction factors for the actual Li2BO2+ ions, but this procedure is not generally applicable. We show how equations based on true Li2BO2+ ions (with full isotopic variations of all the constituent elements) can be solved, and illustrate the procedure with several examples. These studies show that accuracy of analysis depends not only on the accuracies of measurements, delta(j) and delta(k), but also on the particular isotopic Li2BO2+ ion-pairs (j and k) used as the monitor pairs. Moreover, this dependence is shown to be different for the different isotopic ratios (L and Y) to be determined simultaneously. Therefore, proper selection of monitor molecular pairs is a requirement for avoiding larger (propagated) errors in the analysis. Similar arguments would, in fact, apply to any arbitrarily chosen case of determining two or an even greater number of isotopic abundance ratios (Ei's) by the molecular ion beam method, irrespective of whether the different analyte ratios, Ei's, relate to a single multi-isotopic element, or different elements.


PMID: 10786910

DOI: 10.1002/(SICI)1097-0231(20000430)14:8<696::AID-RCM930>3.0.CO;2-J

Other references

Chiang, J-Min.; Spasojevic, M.J.; Muller-Landau, H.C.; Sun, I-Fang.; Lin, Y.; Su, S-Hsin.; Chen, Z-Sang.; Chen, C-Teh.; Swenson, N.G.; McEwan, R.W., 2016: Functional composition drives ecosystem function through multiple mechanisms in a broadleaved subtropical forest. Understanding the role of biodiversity (B) in maintaining ecosystem function (EF) is a foundational scientific goal with applications for resource management and conservation. Two main hypotheses have emerged that address B-EF relationships: niche...

Vanderwarker, R.D., 1957: The art of decision making. Hospitals 31(23): 36-8 Passim

Gabbard, G.O.; Freud, S., 2004: Sigmund Freud, 1856-1939. American Journal of Psychiatry 161(2): 232-232

Steffen J.M.; Roberts J.C., 1976: Temperature acclimation in the mongolian gerbil. Federation Proceedings 35(3): 559

Weiner, D.K.; Hanlon, J.T.; Studenski, S.A., 1998: Effects of central nervous system polypharmacy on falls liability in community-dwelling elderly. Background: While central nervous system (CNS) active medications such as psychotropics and narcotic analgesics have been implicated in contributing to falls in older adults, the combined effect of multiple CNS-active medications has not been inve...

Briggle, L.W., 1964: Reaction of Triticum species to DDT. Limited sampling of the common wheat and durum World Collection Composites (mechanical mixtures of all entries in each respective Collection) coupled with varietal tests revealed the presence of resistance to DDT in both species. Some commercial d...

Gold, J.J., 1959: The diagnosis of the adrenogenital syndrome. Medical Clinics of North America 43(2): 523-540

Barani, A.; Ferrari, M.; Fontani, A.; Catellani, A.; Bondavalli, R.; Franchi, A.; Vai, N.; Scaravelli, P.; Montermini, A., 2000: Efficacy against poplar rust of different doses of two triazoles applied at different times and rates. In the period 1998-99 four trials were carried out in order to test activity of hexaconazole and tetraconazole against poplar rust. The two E.B.I., applied as prophylactic and therapeutic treatment, revealed a fair efficacy against the Melampsora...

Maas, A.H.E.M.; van 't Hof, A.W.J.; de Boer, M.J., 2008: Cardiovascular risk in women after metabolic complications in pregnancy. Hypertensive pregnancy disorders complicate 10% of all pregnancies. In this article we discuss the spectrum of hypertensive conditions that may occur during pregnancy. Recent studies have consistently shown that hypertensive disorders in pregnancy...

Irving J.T.; Socransky S.S.; Heeley J.D., 1973: Histochemical changes in experimental periodontal disease in rats. Journal of Dental Research 52(SPEC ISSUE): 251