
July 30, 2015 13:48 PSP Book - 9in x 6in 03-Nanomagnetism-c03
56 L1
0
Alloy Thin Films and Nanostructures
Figure 3.5 Perpendicular (black solid) and in-plane (dotted) hysteresis or
M(H) loops showing the typical characteristics of the easy and hard axis
directions, respectively. The easy axis has low H
s
, large H
C
, and high M
r
,
whereas the hard axis has large H
s
,smallH
C
, and low M
r
.
where K
eff
is the effective uniaxial anisotropy constant. K
eff
can be
calculated from the area between the M(H) loops for the easy (out-
of-plane direction) and hard (in-plane direction) axes [28] or using a
45
◦
method and high-field extrapolation [29]. Typical in-plane (hard
axis) ...