The anhysteretic remanence 

 of solidified suspensions of magnetic particles with predominant shape anisotropy is calculated from first principles for small dc fields H
oand arbitrary temperature 

 (blocking temperature), describing the particle interactions by a mean field and assuming constant decrement of the ac field, 

 per cycle. For 

 , the anhysteretic distribution of particle magnetizations is found to be subject to the condition that the net internal dc field 

 is a minimum, and, for small H
o, to the condition, 

 . The theory yields 

 as a unique function of independently measurable static magnetic material properties, i.e., it contains no adjustable parameters and is hence quantitatively related to experimental data. Further, according to theory, if 

 denotes 

 as acquired in H
oat T and measured at 

 is independent of 

 for 

 , and 
![\\bar{M}_{ar}(H_{o},T,T_{m} \\neq T) = [M_{s}(T_{m})/M_{s}(T)] \\cdot \\bar{M}_{ar}(H_{o},T,T_{m} = T)](/images/tex/9070.gif)
 . The thermoremanent magnetization acquired in H
oand measured at a temperature 

 , 

 , is related to 

 by 
![\\bar{M}_{thr}(H_{o},T_{m}) = [M_{s}(T_{m})/M_{s}(T_{B})]\\bar{M}_{ar}(H_{o},T=T_{m},T_{m})](/images/tex/9074.gif)
 , where T
Bis the blocking temperature below which 

 becomes thermally stable. Up to a constant factor of about 2, the theoretical results agree quantitatively with the experimental data on all materials that correspond to the premises of the theory, i.e., solidified suspensions, tapes in particular, of particles having predominant shape anisotropy.