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Figure 1
Comparison of complex scattering lengths of resonant X-ray scattering with isotope/spin-dependent neutron scattering. The plot of the imaginary part f′′ versus the real part of the scattering length, f0 + f′, is understood by the inspection of Fig. 2[link] which shows the resonant components f′ and f′′ of phosphorus. The lengths b of neutron scattering from H atoms are real: −0.374 × 10−12 cm for 1H and +0.667 × 10−12 cm for 2H (green). The scattering lengths of both isotopes vary with nuclear polarization P. Using a completely polarized neutron beam, b(1H) = (−0.374 ± 1.456P) × 10−12 cm and b(2H) = (0.667 ± 0.28P) × 10−12 cm (blue). The sign ± refers to the polarization direction of the neutron beam. With dynamic nuclear polarization (DNP), P may vary within the limits of −1 and +1.

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