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Butler & Banerjee 1975
Butler, R.F. and Banerjee, F.S.K. (1975). Single-domain grain size limits for metallic iron. Journal of Geophysical Research 80: doi: 10.1029/JB080i002p00252. issn: 0148-0227.

Theoretical examination of possible nonuniform spin configurations in metallic iron indicates that circular spin (CS) is the lowest-energy nonuniform arrangement. The upper grain size limit (d0) to single-domain (SD) behavior is thus defined by the SD to CS transition. Superparamagnetic (SP) behavior marks the lower grain size limit to the stable SD range, and the SP to SD threshold size (d8) can be determined by N¿el relaxation theory. Calculations of d0 and d8 for spherical metallic iron particles at 290¿K indicate that d0(=173 ¿) 1.1 but remains very constricted. For a prolate ellipsoids of q=1.67, a stable SD range occurs between the SP critical length l8=150 ¿ and d0=360 ¿. Both d0 and d8 increase with temperature, but the stable SD range decreases. The size and shape criteria for the stable SD behavior of metallic iron help to explain (1) and the low SD content of lunar samples, (2) the widespread occurrence of SP behavior and viscous magnetization in lunar soils and low metamorphite grade breccias, (3) the changes in the magnetic properties of breccias during annealing, and (4) the increased SD content of shocked breccias. The narrow grain size limits for SD behavior also suggest that magnetostatic interaction between metal grains in the solar nebula is not a viable mechanism for iron-silicate fractionation.

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Journal of Geophysical Research
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