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Abstract Spin precession of channelled particles in bent crystals at the LHC gives unique possibility for measurements of constants determining T-odd, P-odd (CP) violating interactions and P-odd, T-even interactions of charm, beauty and strange charged baryons with electrons and nucleus (nucleons), similarly to the possibility of measuring their electric and magnetic moments. For a particle moving in a bent crystal new effects caused by non-elastic processes arise. In addition to the spin rotation around the effective magnetic field $$ {\varvec{B}} $$ B direction (the bending axis direction), due to electromagnetic interactions and leading to changes in spin direction in the plane orthogonal to $$ {\varvec{B}} $$ B , the spin acquires projection along the $$ {\varvec{B}} $$ B direction. Moreover, when spin rotates around the direction of the electric field $${\varvec{E}}$$ E or the particle momentum $${\varvec{k}}$$ k , a spin component along $${\varvec{E}}$$ E or $${\varvec{k}}$$ k , respectively, is induced.