Determining the chemical composition of diamagnetic mixed solids via measurements of the magnetic susceptibility
Abstract
Mixed solid compounds are employed in a vast array of applications so an accurate determination of their chemical compositions is of crucial importance. All current characterization methods require specially-treated samples so the availability of a more practical method with similar accuracy should alleviate the quantification process. In this work, we show how the doping concentration $δ$ (or isotope concentration) of a mixed solid compound in powdered form, where both parent compounds are diamagnetic, can be obtained from the measurement of the mass magnetization. We exploit the additive nature of the molar magnetic susceptibility $χ_{Mol}$ and molar mass to construct two equations with the same two unknowns in the $χ_{Mol}$ vs. $δ$ space to simultaneously solve $χ_{Mol}$ and $δ$ of a mixed solid. Eight examples are provided to show the wide applicability of this method: NH$_{4(1-δ)}$D$_{4δ}$Br (where D = $^2$H), NH$_4$I$_{1-δ}$Br$_δ$, (NH$_4$H$_2$)$_{1-δ}$(ND$_4$D$_2$)$_δ$PO$_4$, C$_{48}$H$_{22+6δ}$Br$_{6(1-δ)}$O$_{32}$Zr$_6$, [creatine]$_{1-δ}$[$_D$-glucose]$_δ$, [$_L$-glutamic acid]$_{1-δ}$[$_L$-leucine]$_δ$, [terephthalic acid]$_{1-δ}$[trimesic acid]$_δ$ and [p-terphenyl]$_{1-δ}$[triphenylphosphine]$_δ$. Experimental errors of ~1.2% were obtained for $δ$ from average sample masses of 16.6 mg in powdered form rendering the presented approach an attractive choice for characterizing the ratios of mixed solids.
Read the paper
Related studies
- Biportal endoscopic versus microscopic lumbar decompressive laminectomy in patients with spinal stenosis: A randomized controlled trial
- A whey protein-based multi-ingredient nutritional supplement stimulates gains in lean body mass and strength in healthy older men: A randomized controlled trial
- Supplement-based nutritional strategies to tackle frailty: A multifactorial, double-blind, randomized placebo-controlled trial
- A randomized, double-blind, placebo-controlled, proof-of-concept trial of creatine monohydrate as adjunctive treatment for bipolar depression
- Creatine supplementation (3 g/day) and bone health in older women: a 2-year, randomized, placebo-controlled trial
- A Multi-Ingredient Nutritional Supplement in Combination With Resistance Exercise and High-Intensity Interval Training Improves Cognitive Function and Increases N-3 Index in Healthy Older Men: A Randomized Controlled Trial
Go deeper in Evidence Hub
Evidence Hub adds a study data sheet (design, sample size, evidence level, key numbers), an AI summary and a chat grounded in the paper's text.