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Non-resonant Raman spectroscopy in the hard X-ray regime has been used toexplore the electronic structure of the first two members of theRuddlesden-Popper series Sr$_{n+1}$Ir$_n$O$_{3n+1}$ of iridates. By tuning thephoton energy transfer around 530 eV we have been able to explore the oxygen Knear edge structure with bulk sensitivity. The angular dependence of thespectra has been exploited to assign features in the 528-535 eV energy range tospecific transitions involving the Ir 5d orbitals. This has allowed us toextract reliable values for both the t2g-eg splitting arising from the cubiccomponent of the crystal field (10Dq), in addition to the splitting of the egorbitals due to tetragonal distortions. The values we obtain are (3.8, 1.6) eVand (3.55, 1.9) eV for Sr$_2$IrO$_4$ and Sr$_3$Ir$_2$O$_7$, respectively.

Crystal field splitting in Sr$_{n+1}$Ir$_n$O$_{3n+1}$ ($n$ = 1, 2) iridates probed by x-ray Raman spectroscopy