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The binding energies of 29Si, 33S, and 36Cl have been measured with arelative uncertainty $< 0.59 \times 10^{-6}$ using a flat-crystal spectrometer.The unique features of these measurements are 1) nearly perfect crystals whoselattice spacing is known in meters, 2) a highly precise angle scale that isderived from first principles, and 3) a gamma-ray measurement facility that iscoupled to a high flux reactor with near-core source capability. The bindingenergy is obtained by measuring all gamma-rays in a cascade scheme connectingthe capture and ground states. The measurements require the extension ofprecision flat-crystal diffraction techniques to the 5 to 6 MeV energy region,a significant precision measurement challenge. The binding energies determinedfrom these gamma-ray measurements are consistent with recent highly accurateatomic mass measurements within a relative uncertainty of $4.3 \times 10^{-7}$.The gamma-ray measurement uncertainties are the dominant contributors to theuncertainty of this consistency test. The measured gamma-ray energies are inagreement with earlier precision gamma-ray measurements.Comment: 13 pages, 4 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

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Precision measurement of theSi29,S33