  The induction of unconventional superconductivity by twisting two layers of
graphene a small angle was groundbreaking1, and since then has attracted
widespread attention to novel phenomena caused by lattice or angle mismatch
between two-dimensional (2D) materials2. While many studies address the
influence of angle mismatch between layered 2D materials3-5 , the impact of the
absorption alignment on the physical properties of planar molecules on 2D
substrates has not been studied in detail. Using scanning probe microscopy
(SPM) we show that individual cobalt phthalocyanine (CoPc) molecules adsorbed
on the layered superconductor 2H-NbSe2 change drastically their charge and spin
state when the symmetry axes of the molecule and the substrate are twisted with
respect to each other. The CoPc changes from an effective spin-1/2 as found in
gas-phase6 to a molecule with non-magnetic ground-state. On the latter we
observe a singlet-triplet transition originating from an antiferromagnetic
interaction between the central-ion spin and a distributed magnetic moment on
the molecular ligands. Because the Ising superconductor 2H-NbSe2 lacks
inversion symmetry and has large spin-orbit coupling7 this intramolecular
magnetic exchange has significant non-collinear Dzyaloshinskii-Moriya (DM)8, 9
contribution.
