The pressure-dependent relation between Eu valence and lattice structure in model compound EuO is studied with synchrotron-based x-ray spectroscopic and diffraction techniques. Contrary to expectation, a 7% volume collapse at ≈ 45 GPa is accompanied by a reentrant Eu valence transition into a lower valence state. In addition to highlighting the need for probing both structure and electronic states directly when valence information is sought in mixed-valent systems, the results also show that widely used bond-valence methods fail to quantitatively describe the complex electronic valence behavior of EuO under pressure.The phenomenon of mixed-valency in f -electron systems occurs when otherwise localized f -orbitals of RareEarth or Actinide elements hybridize in the solid with s,p,d electrons. A quantum superposition of differently occupied (valence) f -states emerges when the energy difference between competing single-valent states is smaller than the f -electron bandwidth, usually termed fluctuating valence state [1]. The onset of mixed-valency under applied pressure, chemical substitutions, or finite temperature has dramatic consequences on the macroscopic properties of f -electron systems including volume collapse [2], quenched magnetism [3], onset of superconductivity [4,5], Kondo physics [6], and quantum criticality [4,5]. Despite mixed-valency being central to f -electron physics, our ability to directly probe this peculiar quantum electronic state at high pressures is limited.EuO with its simple NaCl (B1) crystal structure is a model system to study valence effects upon lattice compression [7]. Eu-containing compounds are prototypical mixed-valent systems because Eu can display both trivalent (as most Rare-Earths ions do) and divalent electronic states at ambient conditions, the latter stabilized by a half-filled 4f orbital occupation ([Xe]4f 7 5d 0 6 sAdditionally, the ferromagneticsemiconductor character of EuO [7] coupled with perfect spin-polarization of electronic states near the Fermi level generated interest for possible applications of EuO in Spintronics [8]. A dramatic, three-fold increase in magnetic ordering temperature is observed under applied pressures of up to ≈14 GPa (or at strained interfaces), reaching a maximum T C ≈ 200 K but decreasing at higher pressures [9]. The relationship between crystal structure, electronic structure and magnetic ordering temperature has fueled much of the research in EuO over the last two decades, with the question of Eu valency remaining key for a complete understanding of this and other f -electron mixed-valent systems. In this Letter we report direct measurements of electronic valence and crystal structure in Europium monoxide (EuO) at pressures up to 90 GPa using x-ray absorption spectroscopy, nuclear forward scattering and x-ray diffraction techniques. Below 40 GPa a complex, pressuredependent valence is observed to fluctuate between Eu
2+and Eu 3+ states at a frequency f > ∼ ∆E/h ∼ 0.15 PetaHertz where ∆E is the 4f bandwidth. At higher pressures we obse...