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.
Ab initio calculated diamagnetic and paramagnetic susceptibility of carbonate minerals
Institute of Geophysics of the Czech Academy of Sciences(捷克科学院地球物理研究所);Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University(捷克理工大学核科学与物理工程学院);Faculty of Mathematics and Physics, Charles University(查理大学数学与物理学院)
Weak non-Landau-type contributions to the diamagnetism of graphite
Skobeltsyn Institute of Nuclear Physics, Moscow State University(莫斯科国立大学索别尔曼核物理研究所);St. Petersburg State University(圣彼得堡国立大学);School of Physics, Harbin Institute of Technology(哈尔滨工业大学物理学院)
Importance of Paramagnetic Background Subtraction for Determining the Magnetic Moment in Epitaxially Grown Monolayer and Few-Layer van der Waals Magnets