2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) 2013
DOI: 10.1109/i2mtc.2013.6555629
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Optimization for temperature estimation using magnetic nanoparticle: A set of equations solving solution investigation

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Cited by 3 publications
(5 citation statements)
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“…According to the results reported by Frank Ludwig, the relaxation effects on the MNPT are negligible when the average particle size is smaller than 30nm, the particle size distribution is narrow and the excitation field has frequencies lower than 1 kHz [ 25 , 26 ]. As such, the first-order Langevin function describing the superparamagnetism of the MNPs is specified by [ 19 , 20 , 21 , 22 , 23 , 24 ]: where ϕ is the volume fraction of MNPs, M s is the saturation magnetization, V is the particle’s volume, k B is the Boltzmann constant, T is the absolute temperature and H is the external excitation magnetic field.…”
Section: System Constitution and Temperature Solutionmentioning
confidence: 99%
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“…According to the results reported by Frank Ludwig, the relaxation effects on the MNPT are negligible when the average particle size is smaller than 30nm, the particle size distribution is narrow and the excitation field has frequencies lower than 1 kHz [ 25 , 26 ]. As such, the first-order Langevin function describing the superparamagnetism of the MNPs is specified by [ 19 , 20 , 21 , 22 , 23 , 24 ]: where ϕ is the volume fraction of MNPs, M s is the saturation magnetization, V is the particle’s volume, k B is the Boltzmann constant, T is the absolute temperature and H is the external excitation magnetic field.…”
Section: System Constitution and Temperature Solutionmentioning
confidence: 99%
“…Solving Equation (4) allows temperature measurement by using the Levenberg–Marquardt algorithm (L–M) [ 20 , 21 , 22 , 23 , 24 ].…”
Section: System Constitution and Temperature Solutionmentioning
confidence: 99%
See 1 more Smart Citation
“…In 2012, Zhong Jing et al established a theoretical model based on the first-order Langevin's equation [3][4], and used SQUID VSM to measure the magnetization curve under different DC excitation magnetic fields, and realized the temperature measurement by inversion calculation method [5]. At the same time, the theoretical model of temperature measurement was optimized and achieved higher precision [6].…”
Section: Introductionmentioning
confidence: 99%
“…Weaver et al found that temper ature could be determined from the ratio of the third and fifth magnetization harmonics of MNPs in an AC magn etic field [13][14][15]. Liu et al developed methods of magnetic nanothermometry using Langevin function and DC magnetization or AC magnetization harmonics [5,6,[16][17][18][19][20][21][22][23][24].…”
Section: Introductionmentioning
confidence: 99%