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We use Carr-Purcell-Meiboom-Gill (CPMG) dynamical decoupling to measure themagnetic noise power spectra for ensembles of P1 and NV centers in diamondusing pulsed electron paramagnetic resonance (pEPR) at 2.5 GHz. Thestroboscopically detected pEPR experiments on NV centers were performed on anHPHT (high pressure, high temperature) diamond sample at 13 mT and 190 mT,while the experiments on P1 centers were performed on a CVD (chemical vapordeposition) diamond sample at 89 mT. All power spectra show two distinctfeatures, a broad component that is observed to scale as approximately$1/\omega$, and a prominent peak at the $^{13}$C Larmor precession frequency.The broad $1/\omega$ behavior is consistent with an inhomogeneous distributionof Lorentzian spectra due to clustering of P1 centers, which has recently beenshown to be prevalent in HPHT diamond. However, it is unknown if suchclustering occurs in CVD diamond. The maximum rate at which we can apply $\pi$pulses is higher than the $^{13}$C frequency at 13 mT, but is lower than the$^{13}$C frequency at 89 mT and 190 mT. We develop techniques that utilize thehigher harmonics of the CPMG filter function to improve our estimate of the$^{13}$C contribution to the power spectrum at the higher fields. Surprisingly,the $^{13}$C peak, when measured with higher harmonics of the CPMG filter,appears larger than expected based on measurements with the lower harmonics. Weassess the robustness of our methods in the presence of finite pulse widths andflip angle errors. These techniques could be used in a variety of acmagnetometry and noise spectroscopy measurements such as chemical sensing andnanoscale nuclear magnetic resonance.

Quantifying the magnetic noise power spectrum for ensembles of P1 and NV centers in diamond