Solubilities of rare gases in liquid sodium and Faber's formula for vacancy formation energies

Fukase, Shoji; Satoh, Takeshi

doi:10.1088/0305-4608/6/7/006

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…Unfortunately, the very low electron density in sodium (r, = 4) means that E , is no longer substantially larger than other contributions to the heat of solution. Indeed Fukase and Satoh (1976) obtained agreement with observation for a theory which omitted E , entirely! In the present work, greater emphasis has been placed on the electron barrier of liquid helium.…”

Section: J Sterensonsupporting

confidence: 72%

Factorization theory for single-valued analytic functions on compact Riemann surfaces with boundary

Khavinson¹

1989

Russ. Math. Surv.

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In the low-pressure limit. a helium atom embedded in the electron gas appropriate to metallic hydrogen is only weakly perturbed from its free space structure, and its interaction with the electron gas can be represented by an energy-dependent pseudopotential. A calculation is made for the Gibbs energ) of mixing for H-He. using an Austin pseudopotential and a fluid state model based on hard-sphere structure factors. A large orthogonalisation hole is predicted. which ma) crudely represent the gradual transition from a helium atom to a screened x-particle as the electron densitj increases. The helium solubilit? is predominantly determined by the structure-independent interaction of the electron gas with the repulsive pseudopotential. and is probably leust at the lowest pressures. In the hydrogen-helium planets (Jupiter. Saturn) the helium concentration may be at or close to saturation at the molecular-metallic hydrogen transition. 0305-4608,'79/050791 + 11 $01.00

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Section: J Sterensonsupporting

confidence: 72%

Factorization theory for single-valued analytic functions on compact Riemann surfaces with boundary

Khavinson¹

1989

Russ. Math. Surv.

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“…['Sr-SZ" g«(rMR'+r ~r)°dr + SL 8"(r,r(1" l) ir * S' ««<r)r(1 -5) dr ] (3-13) where R' > R is assumed. In particular, when fi' -Iij(R,°>) = 16 2 Jo%(r)r(l -r/R) dr (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14) (Here we note that strictly speaking the convergence of the integral at infinity is not guaranteed, since the radial distribution function gi;(r) does not converge to zero. But in the real situation where the charge neutrality is held, the contribution from infinity can be neglected.)…”

Section: Using the Relationmentioning

confidence: 99%