Correction to “Fundamentals and Applications of Dual‐Frequency Magnetic Particle Spectroscopy: Review for Biomedicine and Materials Characterization”
Hans‐Joachim Krause, Ulrich M. Engelmann
Abstract
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TopicsCharacterization and Applications of Magnetic Nanoparticles · Iron oxide chemistry and applications · Molecular spectroscopy and chirality
https://doi.org/10.1002/advs.202416838
In the originally published version of the paper, some equations contain typos and misleading references. We apologize for the inconvenience and wish the readers an undisturbed academic experience by stating the correct references and formulations as follows:
- In the sentence directly following Equation (12), the effective field, ** H ** eff, is defined subsequently in Equation (14), [not (13)].
- In the paragraph directly following Equation (16), the Langevin function shall be referenced, cf. Equation (6) [not (5)].
- Equation (21) shall be reading the 3rd derivative to ξ, i.e.: d3L(ξ)dξ3=6ξ4−4coth2ξsinh2ξ−2sinh4ξ→ξ→0…
- Equation (23) shall be reading the 5th derivative to ξ, i.e.: d5L(ξ)dξ5=120ξ6−16coth4ξsinh2ξ−88coth2ξsinh4ξ−16sinh6ξ→ξ→0…
- Equations (31), (32), and (33) shall all be reading only a scalar product after square brackets:
- mf1+2f2=mp·2n∑i=0n−1L[mpkBT(B0+B1sin(2πf1ti)+B2sin(2πf2ti))]·sin(2π(f1+2f2)ti) (31)
- mf1+3f2=mp·2n∑i=0n−1L[mpkBT(B0+B1sin(2πf1ti)+B2sin(2πf2ti))]·cos(2π(f1+3f2)ti) (32)
- mf1+4f2=mp·2n∑i=0n−1L[mpkBT(B0+B1sin(2πf1ti)+B2sin(2πf2ti))]·sin(2π(f1+4f2)ti) (33)
- In the paragraph following equations (31), (32), and (33), the switching from even to uneven functions can be seen from Equations (24)—(27) [not (28)–(23)].