2. About what movement are you talking? Do you mean they move in a magnetic field?
3. As for the magnetic properties, it can be said that, for example, the change of size at combining (merging, splicing) particles can affect their state. For example, in very small particles (nanoclusters), magnetic ordering may be absent due to quantum uncertainties, larger particles may be single-domain (superparamagnetic or not), at the transition of the single-domain threshold, they will become multi-domain, and their common magnetic moment disappears.
It depends on the required (or needed properties). Agglomerated small particles will not behave much differently from non-agglomerated ones when considering magnetic properties. If the size is less than the critical size (composition dependent), both coercivity and magnetization will increase with size. Above the critical size, coercivity will decrease and magnetization will increase with the crystallite size.
It is difficult to answer this question. First of all, what magnetic properties are there? Or what you want to get. I think you mean soft magnetic materials. That is why small nanoparticles are better. But not only the size of the particles is important but the composition of the phase describing them. Quantity is also important. Too many grains, antiferromagnetism, too few grains, weak interaction. As you can see, there is not enough data provided and you can reply without end. Please specify the question.
The question is somehow confusing? Are you talking about the correlation between the particle size and the coercivity of the sample? If, yes, then the variation between the particle size and the coercivity of the sample differentiates about the single to multiple domains formation. The size of the particle also influences the ZFC & FC processes which could be directly seen in the estimation of the blocking temperature of the system. The size of the particle is directly affecting the distribution of the blocking temperature. The size of the nanocrystallites on the magnetization process is also discussed in my paper ( Article Magnetic and magnetotransport study of Si/Ni multilayers cor...
). In addition, please read the appended papers which might help you in this regard. Seungmin Noh