We report on the magnetic properties of Fe and Co adatoms on a Cu 2 N/Cu(100)-c(2 × 2) surface investigated by x-ray magnetic dichroism measurements and density functional theory (DFT) calculations including the local coulomb interaction. We compare these results with properties formerly deduced from STM spin excitation spectroscopy (SES) performed on the individual adatoms. In particular we focus on the values of the local magnetic moments determined by XMCD compared to the expectation values derived from the description of the SES data. The angular dependence of the projected magnetic moments along the magnetic field, as measured by XMCD, can be understood on the basis of the SES Hamiltonian. In agreement with DFT, the XMCD measurements show large orbital contributions to the total magnetic moment for both magnetic adatoms. Single magnetic atoms adsorbed on nonmagnetic surfaces enable fundamental insights into the origins of magnetic properties [1,2] and have the potential of long relaxation times of magnetic states that can be used for quantum information processing or storage [3,4]. To investigate such systems, x-ray magnetic circular dichroism (XMCD) is a well established technique that allows us to determine element specifically the spin (m S ), dipole (m D ), and orbital (m L ) moments and their anisotropies [5,6]. The dipole moment reflects the inhomogeneous spin density distribution within the atom which influences the transition matrix elements in the XMCD sum rules [6]. Compared to atomic dimensions XMCD is a spatially averaging technique. However, due to its high sensitivity, ensembles of individual adatoms can be probed at coverages where the adatoms are sufficiently distant from one another such that their mutual interactions become negligible [7,8].For individual atoms or molecules, spin-excitation spectroscopy (SES) with a scanning tunneling microscope (STM) enables access to magnetic properties like the gyromagnetic ratio (g) and magnetic anisotropies [2,. These studies have been made on magnetic impurities with very different degrees of hybridization with the substrate, ranging from direct contact with metals, semiconductors, and superconductors to adatoms adsorbed on thin insulating films or graphene decoupling layers. In the vast majority of cases, the SES results were discussed on the basis of an effective spin Hamiltonian * m.etzkorn@fkf.mpg.de using an atomic picture that has the form [11]:This description is well established in the field of electron spin resonance (ESR) [30,31] and molecular magnets [32] and typically used for systems where the local moments are well protected from hybridization with the conduction electrons of a metal. STM studies are naturally limited to conductive systems in which the electronic transport through the adatoms or molecules to the substrate is significant. This may alter the properties of the system and questions the use of an atomic description for its excitations motivating alternative models [18]. Nevertheless, the described spin Hamiltonian reproduces...