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W2167216017 abstract "Measurements of the magnetocrystalline anisotropy have been made in Ba <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> Zn <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> Fe <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>28</inf> O <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>46</inf> and Ba <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> Co <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> Fe <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>28</inf> O <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>46</inf> , two materials of the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>X</tex> phase of hexagonal ferrites. The measurements were made by ferromagnetic resonance techniques at room temperature. The anisotropy of Zn <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> X was also measured by a static technique. These materials have rhombehedral symmetry, and thus are similar to the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>Y</tex> phase. The lowest terms in the anisotropy energy consistent with this symmetry are <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>E_{A} = K_{1} sin^{2}theta + K_{2} sin^{4}theta + K_{2}' sin^{3}thetacosthetacos 3phi</tex> . Zn <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> X shows uniaxial anisotropy, with <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{1} = +2.57 times 10^{6}</tex> erg/cm 3 , K <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{2}'</tex> zero. The static measurement yielded <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{1} = 2.50 times 10^{6}</tex> erg/cm 3 . In Co <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> X <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{1} = -2.6 times 10^{5}</tex> erg/cm 3 , <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{2} = +3.8 times 10^{5}</tex> erg/cm 3 , <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K_{2}' = 1.2 times 10^{5}</tex> erg/cm 3 so the unique axis becomes a hard direction. Comparison of the measured change in anisotropy on substitution of cobalt for zinc with the theory of Slonczewski shows that to second order the theory predicts just the three terms shown, and gives numerical values larger by a factor of two than the measured values. Linewidths are also reported." @default.
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W2167216017 title "Magnetocrystalline anisotropy in ferrites of the form Zn<inf>2</inf>X and Co<inf>2</inf>X" @default.
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