The quantum theory of U$^{238}$ and its alloys (U–Co and U–O), first of all, solves the problem of orbital moments $\textbf{L}_r$ in sites $r$. In symmetric lattice (of metal U) $\textbf{L}_r$ organization is possible by Galois groups after one-side deformation $u_{33}$. Covalent bonds of U ion pair with antiparallel orbital moments create ‘orbital glass’ of elements organized in groups. The form of ‘orbital glass’ parameter $P_{3}(T)$ is determined by antiferromagnons (bosons). Uniaxial group of ‘orbital glass’ gives series of new effects: strong ferromagnetic anisotropy (FMA), higher oxide UO$_{1+m}$, etc. The effects are calculated by means of the method of many-electron operator spinors and chemical bond fluctuations. The experimental data for magnetization, Curie temperature, FMA of Co–U are interpreted.