Magnetics Business & Technology - Spring 2015 - (Page 8)
FEATURE ARTICLE
First-Order-Reversal-Curve Analysis of Multi-Phase
Ferrite Magnets
By B. C. Dodrill, Senior Scientist * Lake Shore Cryotronics
Magnetically hard ferrite powders are widely
used, due to their low-cost production and
good performance in many electronic devices
such as electrical motors, speakers and recording media. Usually ferrites are single-phase magnets but when the
stoichiometry is not precise or the fabrication process is not adequate, the ferritic phase may be accompanied by other phases
that promote magnetic interactions, which results in a decrease
of the magnetic performance of the magnet. Additionally, there
is currently strong interest in exchange spring magnets, which are
comprised of a hard high coercivity phase exchange coupled to a
soft high saturation magnetization phase, as this leads to a magnet
with increased energy density. This results in reduced costs because
less hard phase material is required. Other examples of multiphase magnets include nanostructures, such as soft shell/hard core
nanowires, hybrid magnets, etc.
The magnetic characterization of such materials is usually made by
measuring a hysteresis loop. However, it is very difficult to unravel
the complex magnetic signatures of multi-phase magnets, or to obtain information of interactions or coercivity distributions from the
hysteresis loop alone. First-order-reversal-curves (FORC) provide a
means for determining the distribution of switching and interaction
fields between magnetic particles, and for distinguishing between
magnetic phases in composite materials that contain more than one
magnetic phase. In this article, we will discuss the FORC measurement and analysis technique, and present results for various ferrite
multi-phase composites.
Magnetization Measurements & First-Order-Reversal-Curves
The most common measurement that is performed to characterize a materials magnetic properties is measurement of the major
hysteresis or M(H) loop. The parameters that are usually extracted
from the M(H) loop are illustrated in Figure 1 and include: the saturation magnetization Msat (the magnetization at maximum applied
field), the remanence Mrem (the magnetization at zero applied field
after applying a saturating field), and the coercivity Hc (the field required to demagnetize the material). For permanent magnet materials, the maximum energy product BHmax, which is determined from
the second quadrant demagnetization curve, is also commonly of
Figure 1. Hysteresis M(H) Loop for a NdFeB Sample
8
Magnetics Business & Technology * Spring 2015
interest. Note that the measured coercivity Hc is the average coercivity (or average distribution of switching fields) of the entire
ensemble of magnetic particles that constitute a magnetic material.
Figure 2. Measured First-Order-Reversal-Curves for a Ferrite
Permanent Magnet
More complex magnetization curves covering states with field and
magnetization values located inside the major hysteresis loop, such
as first-order-reversal-curves (FORC)1, can give information that is
not possible to obtain from the hysteresis loop alone. These curves
include the distribution of switching and interaction fields, and differentiation of multiple phases in composite or hybrid materials
containing more than one phase. A FORC is measured by saturating
a sample in a field Hsat, decreasing the field to a reversal field Ha,
then sweeping the field back to Hsat in a series of regular field steps
Hb. This process is repeated for many values of Ha, yielding a series
of FORCs. This is illustrated in Figure 2. The measured magnetization at each step as a function of Ha and Hb gives M(Ha, Hb), which
Figure 3. A 2-D FORC diagram for a periodic array of Ni nanowires
showing the distribution of switching (Hc) and interaction (Hu) fields2.
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Table of Contents for the Digital Edition of Magnetics Business & Technology - Spring 2015
Editor's Choice
First-Order-Reversal-Curve Analysis of Multi-Phase Ferrite Magnets
Magnetics Design Tool for Power Applications
Magnet Inspection Tool with High Magnetic and Mechanic Accuracy
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