The Magnetic Moments of Single-Domain and its Mathematics Formation

We now demonstrate that such "uniaxial" particles can allow several quantifiable stable (or metastable) orientations of the magnetic moment within the same particle. A new model is presented with quantitative predictions verified by experiments. The results have important implications for rock magnetism, palaeomagnetism, and magnetic materials research. Firstly, the new model quantitatively accounts for several previously unexplained diverse phenomena exhibited by such single-domain (SD) particles. Including the acquisition of gyroremanences, tiled-impressed anisotropy, and transverse components of reminisce in individual particles. These phenomena are theoretically impossible in idealized uniaxial single domain particles, and could now be used to quantify the deviation of real particles from ideal behavior. Secondly, deflections of the natural remanence vector and computations of the ancient field vector and paleointensity are not only controlled by the shape and distribution of the particles, but also by the possible stable orientations of the moments within single-domain particles. The model is also relevant to other single-domain particle morphologies.