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The molecular compound K$_6$[V$^{IV}_{15}$As$^{III}_6$O$_{42}$(H$_2$O)]$\cdot$ 8H$_2$O, in short V$_{15}$, has shown important quantum effects such ascoherent spin oscillations. The details of the spin quantum dynamics depend onthe exact form of the spin Hamiltonian. In this study, we present a preciseanalysis of the intramolecular interactions in V$_{15}$. To that purpose, weperformed high-field electron spin resonance measurements at 120 GHz andextracted the resonance fields as a function of crystal orientation andtemperature. The data are compared against simulations using exactdiagonalization to obtain the parameters of the molecular spin Hamiltonian.

Anisotropy of the molecular magnet V$_{15}$ spin Hamiltonian detected by high-field electron spin resonance