caa a22 4500 605466149 CHVBK 20210128100305.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00769-014-1101-4 doi (NATIONALLICENCE)springer-10.1007/s00769-014-1101-4 Validation of a quantitative analytical method based on the effective magnetic moment and the Curie-Weiss law [Elektronische Daten] [Nobuhiro Matsumoto, Takuya Shimosaka] The Curie-Weiss law has been applied to develop a quantitative analytical method referred to as the "effective magnetic moment method” without the use of any reference material for determining the "amount of substance.” This nondestructive and non-separation analytical method was validated by using samples of gadolinium oxide (Gd2O3) mixed in silicon oxide. Prior to validation, the magnetic field strength, temperature, and magnetic moment [measured with a superconducting quantum interference device (SQUID) as magnetometer] were calibrated to improve the accuracy of results obtained by this analytical method, using a nuclear magnetic resonance probe magnetometer with a custom-made probe, a platinum resistance thermometer, and a standard reference material of known magnetic moment. For regression analysis of magnetic moment and temperature data, the values of three unknown parameters and their uncertainties were calculated by using a custom-made program based on the nonlinear least-squares method. In the validation results, the relative difference between the mass fractions of Gd2O3 in mixture samples obtained by this method and those obtained by gravimetric blending was approximately 2%, when the mass fraction of Gd2O3 ranged from 0.04kgkg−1 to 1kgkg−1 and the mass of the sample ranged from 17mg to 62mg. The uncertainty of the mass fraction was approximately 5%, as evaluated by this analytical method. A prevalent source of uncertainty in this method is the reproducibility of measured magnetic moments in the SQUID. Springer-Verlag Berlin Heidelberg, 2015 Potential primary direct method nationallicence Paramagnetism nationallicence Diamagnetism nationallicence Magnetometer nationallicence Inorganic analysis nationallicence Matsumoto Nobuhiro National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology (AIST), AIST Central-3, 1-1-1 Umezono, Tsukuba, Ibaraki, Japan aut Shimosaka Takuya National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology (AIST), AIST Central-3, 1-1-1 Umezono, Tsukuba, Ibaraki, Japan aut Accreditation and Quality Assurance Springer Berlin Heidelberg 20/2(2015-04-01), 115-124 0949-1775 20:2<115 2015 20 769 https://doi.org/10.1007/s00769-014-1101-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00769-014-1101-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Matsumoto Nobuhiro National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology (AIST), AIST Central-3, 1-1-1 Umezono, Tsukuba, Ibaraki, Japan aut NATIONALLICENCE 700 1- Shimosaka Takuya National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology (AIST), AIST Central-3, 1-1-1 Umezono, Tsukuba, Ibaraki, Japan aut NATIONALLICENCE 773 0- Accreditation and Quality Assurance Springer Berlin Heidelberg 20/2(2015-04-01), 115-124 0949-1775 20:2<115 2015 20 769