Abstract
The techniques of neutron interferometry and neutron diffraction were usedto determine the coherent and incoherent neutron scattering lengths of13C. From a neutron interferometry measurement of the optical path difference in liquid samples,13CS2 versus natCS2, we obtain a bound coherent scattering length ofbcoh,13C = 6.542 ± 0.003 fm, which differs appreciably from the standard tabulated value of6.19 ± 0.09 fm. The resulting contrast of only 0.106(3) fm with respect tobcoh,natC = 6.6484 ± 0.0013 fm has consequences for neutron diffraction experiments involving13C isotopic substitution. Combining our result forbcoh,13C with precise neutron diffraction measurements of the self-scattering intensities of liquid samples,13CS2 versusnatCS2,and 13CO2 versus 12CO2, we deduce a bound incoherent scattering length ofbincoh,13C = −0.42 ± 0.24 fm that is consistent with the standard tabulated value of−0.52 ± 0.09 fm. The results presented here have required accurate measurements of small effects, forwhich particular attention has been given to the data analysis.
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