Conformal symmetry of the chemical elements

The system of chemical elements is considered as a multiplet of the group $SU(2)\times S\tilde O(4,2)$, where $S\tilde O(4,2)$ is the universal covering of the conformal group. The representation is realised on the space of the two-component Fock wave functions. Atomic number is treated as a symmetry-breaking operator expressed in terms of observables of the conformal group. A group interpretation of chemical affinity is given involving state transition operators analogous to spin operators $J_{\pm}$ and Okubo operators of the $SU(6)$-theory. The theory results in a table of elements.