%0 Journal Article %T An Effect of the Space Dimension of Electron Fermi Gas upon the Spin Ordering in Clusters and Nanoparticles %J Chemosensors | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/chemosensors7010015 %X Herein, the collective effects of spin polarization in a degenerate electron gas of an arbitrary space dimension are discussed. We consider these low-dimensional systems in light of potential wells (rectangular or cylindrical), and as a two- or one-dimensional oscillator system with the second (and third) spatial dimension proportional to the oscillator¡¯s length. The concept of ¡°intermediate¡± sizes ¦Í = 6, 5, 4 corresponding to the quasi-low dimensions ¦Í* = 0, 1, 2, contrary to ¡°pure¡± space dimensions ¦Í = 1, 2 is introduced. A general effect of the space dimension upon the spontaneous polarization in electron Fermi gas is detected. View Full-Tex %U https://www.mdpi.com/2227-9040/7/1/15