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IEVref: | 815-17-13 | ID: | |

Language: | en | Status: Standard | |

Term: | AC magnetic susceptibility | ||

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Definition: | series of complex coefficients obtained by the expansion in Fourier series of the AC magnetization M(t)Note 1 to entry: The AC magnetization, $M(t)={h}_{0}{\displaystyle \sum _{n=0}^{\infty}\left[{\kappa}_{n}^{\prime}\mathrm{cos}(n\omega t)+{\kappa}_{n}^{\u2033}\mathrm{sin}(n\omega t)\right]}$ where ${\kappa}_{n}^{\prime}$ and ${\kappa}_{n}^{\u2033}$ are the real and imaginary parts of the AC magnetic susceptibility for the order Note 2 to entry: The fundamental components ${\kappa}_{1}^{\prime}$ and ${\kappa}_{1}^{\u2033}$ are mostly observed for measurements of superconducting transition. Note 3 to entry: The AC loss energy density $W=\pi {\mu}_{0}{h}_{0}^{2}{\kappa}_{1}^{\u2033}$ | ||

Publication date: | 2015-11 | ||

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Note 1 to entry: The AC magnetization, *M(t),* under the magnetic field strength of ${h}_{0}\mathrm{cos}\omega t$ is expanded as:

$M(t)={h}_{0}{\displaystyle \sum _{n=0}^{\infty}\left[{\kappa}_{n}^{\prime}\mathrm{cos}(n\omega t)+{\kappa}_{n}^{\u2033}\mathrm{sin}(n\omega t)\right]}$

where ${\kappa}_{n}^{\prime}$ and ${\kappa}_{n}^{\u2033}$ are the real and imaginary parts of the AC magnetic susceptibility for the order *n*.

Note 2 to entry: The fundamental components ${\kappa}_{1}^{\prime}$ and ${\kappa}_{1}^{\u2033}$ are mostly observed for measurements of superconducting transition.

Note 3 to entry: The AC loss energy density *W* is given as:

$W=\pi {\mu}_{0}{h}_{0}^{2}{\kappa}_{1}^{\u2033}$