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We analyze the properties of electron-phonon couplings in K3Picene byexploiting a molecular orbital representation derived in the maximallylocalized Wannier function formalism. This allows us to go beyond the analysisdone in Phys. Rev. Lett. 107, 137006 (2011), and separate not only the intra-and intermolecular phonon contributions but also the local and non-localelectronic states in the electron-phonon matrix elements. Despite the molecularnature of the crystal, we find that the purely molecular contributions(Holstein-like couplings where the local deformation potential is coupled tointramolecular phonons) account for only 20% of the total electron-phononinteraction lambda. In particular, the Holstein-like contributions to lambda inK3Picene are four times smaller than those computed for an isolated neutralmolecule, as they are strongly screened by the metallic bands of the dopedcrystal. Our findings invalidate the use of molecular electron-phononcalculations to estimate the total electron-phonon coupling in metallic picene,and possibly in other doped metallic molecular crystals. The major contribution(80%) to lambda in K3Picene comes from non-local couplings due to phononmodulated hoppings. We show that the crystal geometry together with themolecular picene structure leads to a strong 1D spatial anisotropy of thenon-local couplings. Finally, based on the parameters derived from our densityfunctional theory calculations, we propose a lattice modelization of theelectron-phonon couplings in K3Picene which gives 90% of ab-initio lambda.

Local and non-local electron-phonon couplings in K3Picene and the effect of metallic screening