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Coercivity

From Wikipedia, the free encyclopedia
Resistance of a ferromagnetic material to demagnetization by an external magnetic field
This article is about the property of magnetic fields. For other uses, seeCoercion (disambiguation).
A family of hysteresis loops forgrain-oriented electrical steel, a soft magnetic material.BR denotesretentivity andHC is thecoercivity. The wider the outside loop is, the higher the coercivity. Movement on the loops is counterclockwise.

Coercivity, also called themagnetic coercivity,coercive field orcoercive force, is a measure of the ability of aferromagnetic material to withstand an externalmagnetic field without becomingdemagnetized. Coercivity is usually measured inoersted orampere/meter units and is denotedHC.

An analogous property inelectrical engineering andmaterials science,electric coercivity, is the ability of aferroelectric material to withstand an externalelectric field without becomingdepolarized.

Ferromagnetic materials with high coercivity are called magneticallyhard, and are used to makepermanent magnets. Materials with low coercivity are said to be magneticallysoft. The latter are used intransformer andinductorcores,recording heads,microwave devices, andmagnetic shielding.

Definitions

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Graphical definition of different coercivities in flux-vs-field hysteresis curve (B-H curve), for a hypothetical hard magnetic material.
Equivalent definitions for coercivities in terms of the magnetization-vs-field (M-H) curve, for the same magnet.

Coercivity in aferromagnetic material is the intensity of the appliedmagnetic field (H field) required to demagnetize that material, after the magnetization of the sample has been driven tosaturation by a strong field. This demagnetizing field is applied opposite to the original saturating field. There are however different definitions of coercivity, depending on what counts as 'demagnetized', thus the bare term "coercivity" may be ambiguous:

  • Thenormal coercivity,HCn, is theH field required to reduce themagnetic flux (averageB field inside the material) to zero.
  • Theintrinsic coercivity,HCi, is theH field required to reduce themagnetization (averageM field inside the material) to zero.
  • Theremanence coercivity,HCr, is theH field required to reduce theremanence to zero, meaning that when theH field is finally returned to zero, then bothB andM also fall to zero (the material reaches the origin in the hysteresis curve).[1]

The distinction between the normal and intrinsic coercivity is negligible in soft magnetic materials, however it can be significant in hard magnetic materials.[1] The strongestrare-earth magnets lose almost none of the magnetization atHCn.

Experimental determination

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Coercivities of some magnetic materials
MaterialCoercivity
(kA/m)
Supermalloy
(16Fe:79Ni:5Mo)
0.0002[2]: 131, 133 
Permalloy (Fe:4Ni)0.0008–0.08[3]
Iron filings (0.9995wt)0.004–37.4[4][5]
Electrical steel (11Fe:Si)0.032–0.072[6]
Raw iron (1896)0.16[7]
Nickel (0.99 wt)0.056–23[5][8]
Ferrite magnet
(ZnxFeNi1−xO3)
1.2–16[9]
2Fe:Co,[10] iron pole19[5]
Cobalt (0.99 wt)0.8–72[11]
Alnico30–150[12]
Disk drive recording medium
(Cr:Co:Pt)
140[13]
Neodymium magnet (NdFeB)800–950[14][15]
12Fe:13Pt (Fe48Pt52)≥980[16]
?(Dy,Nb,Ga(Co):2Nd:14Fe:B)2040–2090[17][18]
Samarium-cobalt magnet
(2Sm:17Fe:3N; 10 K)
<40–2800[19][20]
Samarium-cobalt magnet3200[21]

Typically the coercivity of a magnetic material is determined by measurement of themagnetic hysteresis loop, also called themagnetization curve, as illustrated in the figure above. The apparatus used to acquire the data is typically avibrating-sample or alternating-gradientmagnetometer. The applied field where the data line crosses zero is the coercivity. If anantiferromagnet is present in the sample, the coercivities measured in increasing and decreasing fields may be unequal as a result of theexchange bias effect.[citation needed]

The coercivity of a material depends on the time scale over which a magnetization curve is measured. The magnetization of a material measured at an applied reversed field which is nominally smaller than the coercivity may, over a long time scale, slowlyrelax to zero. Relaxation occurs when reversal of magnetization by domain wall motion isthermally activated and is dominated bymagnetic viscosity.[22] The increasing value of coercivity at high frequencies is a serious obstacle to the increase ofdata rates in high-bandwidth magnetic recording, compounded by the fact that increased storage density typically requires a higher coercivity in the media.[citation needed]

Theory

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At the coercive field, thevector component of the magnetization of a ferromagnet measured along the applied field direction is zero. There are two primary modes ofmagnetization reversal:single-domain rotation anddomain wall motion. When the magnetization of a material reverses by rotation, the magnetization component along the applied field is zero because the vector points in a direction orthogonal to the applied field. When the magnetization reverses by domain wall motion, the net magnetization is small in every vector direction because the moments of all the individual domains sum to zero. Magnetization curves dominated by rotation andmagnetocrystalline anisotropy are found in relatively perfect magnetic materials used in fundamental research.[23] Domain wall motion is a more important reversal mechanism in real engineering materials since defects likegrain boundaries andimpurities serve asnucleation sites for reversed-magnetization domains. The role of domain walls in determining coercivity is complicated since defects maypin domain walls in addition to nucleating them. The dynamics of domain walls in ferromagnets is similar to that of grain boundaries andplasticity inmetallurgy since both domain walls and grain boundaries are planar defects.[citation needed]

Significance

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As with anyhysteretic process, the area inside the magnetization curve during one cycle represents thework that is performed on the material by the external field in reversing the magnetization, and is dissipated as heat. Common dissipative processes in magnetic materials includemagnetostriction and domain wall motion. The coercivity is a measure of the degree of magnetic hysteresis and therefore characterizes the lossiness of soft magnetic materials for their common applications.

The saturation remanence and coercivity are figures of merit for hard magnets, althoughmaximum energy product is also commonly quoted. The 1980s saw the development ofrare-earth magnets with high energy products but undesirably lowCurie temperatures. Since the 1990s newexchange spring hard magnets with high coercivities have been developed.[24]

See also

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References

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  1. ^abGiorgio Bertotti (21 May 1998).Hysteresis in Magnetism: For Physicists, Materials Scientists, and Engineers. Elsevier Science.ISBN 978-0-08-053437-4.
  2. ^Tumanski, S. (2011).Handbook of magnetic measurements. Boca Raton, FL: CRC Press.ISBN 9781439829523.
  3. ^M. A. Akhter-D. J. Mapps-Y. Q. Ma Tan-Amanda Petford-Long-R. Doole; Mapps; Ma Tan; Petford-Long; Doole (1997). "Thickness and grain-size dependence of the coercivity in permalloy thin films".Journal of Applied Physics.81 (8): 4122.Bibcode:1997JAP....81.4122A.doi:10.1063/1.365100.
  4. ^Calvert, J. B. (6 December 2003) [13 December 2002]."Iron".mysite.du.edu. Archived fromthe original on 2007-09-15. Retrieved2023-11-04.
  5. ^abc"Magnetic Properties of Solids". Hyperphysics.phy-astr.gsu.edu. Retrieved22 November 2014.
  6. ^"timeout". Cartech.ides.com. Retrieved22 November 2014.[permanent dead link]
  7. ^Thompson, Silvanus Phillips (1896).Dynamo-electric machinery. Retrieved22 November 2014.
  8. ^M. S. Miller-F. E. Stageberg-Y. M. Chow-K. Rook-L. A. Heuer; Stageberg; Chow; Rook; Heuer (1994). "Influence of rf magnetron sputtering conditions on the magnetic, crystalline, and electrical properties of thin nickel films".Journal of Applied Physics.75 (10): 5779.Bibcode:1994JAP....75.5779M.doi:10.1063/1.355560.
  9. ^Zhenghong Qian; Geng Wang; Sivertsen, J.M.; Judy, J.H. (1997). "NiZn ferrite thin films prepared by Facing Target Sputtering".IEEE Transactions on Magnetics.33 (5):3748–3750.Bibcode:1997ITM....33.3748Q.doi:10.1109/20.619559.
  10. ^Orloff, Jon (2017-12-19).Handbook of Charged Particle Optics, Second Edition. CRC Press.ISBN 9781420045550. Retrieved22 November 2014.
  11. ^Luo, Hongmei; Wang, Donghai; He, Jibao; Lu, Yunfeng (2005). "Magnetic Cobalt Nanowire Thin Films".The Journal of Physical Chemistry B.109 (5):1919–22.doi:10.1021/jp045554t.PMID 16851175.
  12. ^"Cast ALNICO Permanent Magnets"(PDF).Arnold Magnetic Technologies. Retrieved4 November 2023.
  13. ^Yang, M.M.; Lambert, S.E.; Howard, J.K.; Hwang, C. (1991). "Laminated CoPtCr/Cr films for low noise longitudinal recording".IEEE Transactions on Magnetics.27 (6):5052–5054.Bibcode:1991ITM....27.5052Y.doi:10.1109/20.278737.
  14. ^C. D. Fuerst-E. G. Brewer; Brewer (1993). "High-remanence rapidly solidified Nd-Fe-B: Die-upset magnets (invited)".Journal of Applied Physics.73 (10): 5751.Bibcode:1993JAP....73.5751F.doi:10.1063/1.353563.
  15. ^"WONDERMAGNET.COM - NdFeB Magnets, Magnet Wire, Books, Weird Science, Needful Things". Wondermagnet.com. Archived fromthe original on 11 February 2015. Retrieved22 November 2014.
  16. ^Chen & Nikles 2002
  17. ^Bai, G.; Gao, R.W.; Sun, Y.; Han, G.B.; Wang, B. (January 2007). "Study of high-coercivity sintered NdFeB magnets".Journal of Magnetism and Magnetic Materials.308 (1):20–23.Bibcode:2007JMMM..308...20B.doi:10.1016/j.jmmm.2006.04.029.
  18. ^Jiang, H.; Evans, J.; O’Shea, M.J.; Du, Jianhua (2001). "Hard magnetic properties of rapidly annealed NdFeB thin films on Nb and V buffer layers".Journal of Magnetism and Magnetic Materials.224 (3):233–240.Bibcode:2001JMMM..224..233J.doi:10.1016/S0304-8853(01)00017-8.
  19. ^Nakamura, H.; Kurihara, K.; Tatsuki, T.; Sugimoto, S.; Okada, M.; Homma, M. (October 1992). "Phase Changes and Magnetic Properties of Sm 2 Fe 17 N x Alloys Heat-Treated in Hydrogen".IEEE Translation Journal on Magnetics in Japan.7 (10):798–804.doi:10.1109/TJMJ.1992.4565502.
  20. ^Rani, R.; Hegde, H.; Navarathna, A.; Cadieu, F. J. (15 May 1993). "High coercivity Sm 2 Fe 17 N x and related phases in sputtered film samples".Journal of Applied Physics.73 (10):6023–6025.Bibcode:1993JAP....73.6023R.doi:10.1063/1.353457.INIST 4841321.
  21. ^de Campos, M. F.; Landgraf, F. J. G.; Saito, N. H.; Romero, S. A.; Neiva, A. C.; Missell, F. P.; de Morais, E.; Gama, S.; Obrucheva, E. V.; Jalnin, B. V. (1998-07-01)."Chemical composition and coercivity of SmCo5 magnets".Journal of Applied Physics.84 (1):368–373.Bibcode:1998JAP....84..368D.doi:10.1063/1.368075.ISSN 0021-8979.
  22. ^Gaunt 1986
  23. ^Genish et al. 2004
  24. ^Kneller & Hawig 1991

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