Effect of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition on the Atomic Distribution in Liquid Helium by Neutron Diffraction

Henshaw, D. G.

doi:10.1103/physrev.119.9

Cited by 101 publications

(7 citation statements)

References 17 publications

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“…Values obtained using the PY equation yield a sum of 0.939701, while the values obtained using HNC equation give 0.811651. Figure 1 shows our results in comparison with earlier classical calcultaions ( [15]- [17]) as also the x-ray [27] and neutrondiffraction data [28,29]. The different symbols represent the experimental data while the different lines represent theoretical calculations.…”

Section: Resultsmentioning

confidence: 78%

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Pair Distribution Function of a Square-Well Fluid

Neogi,

Mahan

2009

Preprint

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Section: Resultsmentioning

confidence: 78%

“…[27]. The squares and the triangles show the neutron-diffraction data of Henshaw [28] and Svensson et al [29] respectively. The dash-dash-dot (McMillan [15]), dash-dot (Murphy [16] using PY equation), dotted (Murphy [16] using HNC equation) and dash-dot-dot (Francis [17]) lines represent earlier classical calculations.…”

Section: Discussionmentioning

confidence: 99%

Pair Distribution Function of a Square-Well Fluid

Neogi,

Mahan

2009

Preprint

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“…A series of structure measurements were made of liquid He 4 above and below the λ-point at the saturated vapor pressure and at various pressures [98,99] up to 51.3 at-…”

Section: Structure and Dynamics Of Liquid Hementioning

confidence: 99%

“…A series of structure measurements were made of liquid He 4 above and below the λ-point at the saturated vapor pressure and at various pressures [98,99] up to 51.3 atmospheres with the diffractometer at the NRX reactor, extending earlier measurements [38,39]. An incident neutron wavelength of 1.064 Å was used with scattering angles between 5 and 60 • corresponding to a range of wavevectors between 0.5 and 6.0 Å −1 .…”

Section: Structure and Dynamics Of Liquid Hementioning

confidence: 99%

The First Two Decades of Neutron Scattering at the Chalk River Laboratories

Holden

2021

QuBS

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The early advances in neutron scattering at the Chalk River Laboratories of Atomic Energy of Canada are recorded. From initial nuclear physics measurements at the National Research Experimental (NRX) reactor came the realization that, with the flux available and improvements in monochromator technology, direct measurements of the normal modes of vibrations of solids and the structure and dynamics of liquids would be feasible. With further flux increases at the National Research Universal (NRU) reactor, the development of the triple-axis crystal spectrometer, and the invention of the constant-Q technique, the fields of lattice dynamics and magnetism and their interpretation in terms of the long-range forces between atoms and exchange interactions between spins took a major step forward. Experiments were performed over a seven-year period on simple metals such as potassium, complex metals such as lead, transition metals, semiconductors, and alkali halides. These were analyzed in terms of the atomic forces and demonstrated the long-range nature of the forces. The first measurements of spin wave excitations, in magnetite and in the 3D metal alloy CoFe, also came in this period. The first numerical estimates of the superfluid fraction of liquid helium II came from extensive measurements of the phonon–roton and multiphonon parts of the inelastic scattering. After the first two decades, neutron experiments continued at Chalk River until the shut-down of the NRU reactor in 2018 and the disbanding of the neutron effort in 2019, seventy years after the first experiments.

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“…(15), (16), and (20) in the case of translational invariance we find p~otg(r) = 01(r)Ol(r ) + ~1(0)01(0) (22) However, on the diagonal,…”

Section: The Radial Distribution Functionmentioning

confidence: 99%

Condensate fraction of liquid 4He

Chela-Flores

1976

J Low Temp Phys

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We calculate the fraction Cv of atoms in the ground state of liquid 4He for a fluid density of 0.023 atom/,~ 3 at various values of temperature and find a good fit with the law Cv(T) = CF(0)[1 --(T/T~)3], where T ~ is the transition temperature ; this law gives CF = 2.3 % at T -1.2 K, which agrees with the result of a recent high-energy neutron diffraction experiment. We Jhrther show that future experiments in the temperature range 1.8 K ~ T ~ T a with a statistical error of 1% or larger will not detect the condensate. A single experiment is suggested to differentiate between our work and an ODLRO type of theory.

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Effect of theλTransition on the Atomic Distribution in Liquid Helium by Neutron Diffraction

Cited by 101 publications

References 17 publications

Pair Distribution Function of a Square-Well Fluid

Pair Distribution Function of a Square-Well Fluid

The First Two Decades of Neutron Scattering at the Chalk River Laboratories

Condensate fraction of liquid 4He

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