We develop a theory of acquisition and alternating field (AF) demagnet
ization of anhysteretic remanence (ARM) and saturation isothermal rema
nence (SIRM) in multidomain (MD) grains in order to better understand
the Lowrie-Fuller test. Our theory shows that the relative stabilities
of low-field ARM and high-field SIRM against AF demagnetization are d
etermined by the distribution f(h(c)) of microcoercivity h(c) in a sam
ple, as found earlier by Bailey and Dunlop. When f(h(c)) is nearly con
stant, weak-field ARM is more resistant to AF demagnetization than SIR
M. In contrast, when f(h(c)) varies exponentially or is a Gaussian dis
tribution, SIRM is more AF resistant than ARM. These contrasting stabi
lity trends are conventionally called single-domain (SD)-type and MD-t
ype Lowrie-Fuller results, respectively, but in reality, both types oc
cur in the MD size range. We propose instead the descriptive terms L-t
ype result (low-field remanence, i.e., ARM, more stable) and II-type r
esult (high-field remanence, i.e., SIRM, more stable). The Lowrie-Full
er test does not distinguish one type of domain structure from another
, but it does depend indirectly on grain size. We show that the distri
bution f(h(c)) in a given sample is determined primarily by the grain
size d and the dislocation density rho. A nearly constant f(h(c)) occu
rs in grains with small d and/or rho, but a Gaussian f(h(c)) is approa
ched with increasing d and/or rho. The transition from L-type to II-ty
pe behavior in the Lowrie-Fuller test occurs at a critical grain size
d(t) approximate to 2/(rho w), where w is the domain-wall width. The l
ower the dislocation density, the larger the transition size in the Lo
wrie-Fuller test. This simple relationship explains the increase in th
e transition size from about 5-10 mu m observed for crushed magnetite
grains to approximate to 100 mu m for hydrothermally grown magnetites,
which have lower dislocation densities than crushed grains.