LIII. <i>Ionization in the solar chromosphere</i>

Saha, M.

doi:10.1080/14786441008636148

Cited by 385 publications

(130 citation statements)

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“…These models assign the correct statistical weights and perform the thermal averaging correctly, but they make drastic approximations in calculating the energy levels, especially the effects of density. The Saha model [79] is a wellknown example of this type. At high densities, accurate calculations of the energy levels are needed for best results.…”

Section: Introductionmentioning

confidence: 99%

Equations of state for hydrogen and deuterium.

Kerley¹

2003

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Section: Introductionmentioning

confidence: 99%

Equations of state for hydrogen and deuterium.

Kerley¹

2003

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“…The second limit of interest precisely defines that Saha regime in a proper mathematical way. According to Saha theory [9], hydrogen is expected to behave as a partially ionized atomic gas at both sufficiently low temperatures and low densities, and its pressure should reduce to Saha formula…”

Section: Introductionmentioning

confidence: 99%

Pressure of a Partially Ionized Hydrogen Gas: Numerical Results from Exact Low Temperature Expansions

Alastuey

Ballenegger

2010

Contrib. Plasma Phys.

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We consider a partially ionized hydrogen gas at low densities, where it reduces almost to an ideal mixture made with hydrogen atoms in their ground-state, ionized protons and ionized electrons. By performing systematic low-temperature expansions within the physical picture, in which the system is described as a quantum electron-proton plasma interacting via the Coulomb potential, exact formulae for the first five leading corrections to the ideal Saha equation of state have been derived [A. Alastuey, V. Ballenegger et al., J. Stat. Phys. 130, 1119(2008]. Those corrections account for all effects of interactions and thermal excitations up to order exp(E H /kT ) included, where E H ≃ −13.6 eV is the ground state energy of the hydrogen atom. Among the five leading corrections, three are easy to evaluate, while the remaining ones involve suitably truncated internal partition functions of H 2 molecules and H − and H + 2 ions, for which no analytical formulae are available in closed form. We estimate those partitions functions at finite temperature via a simple phenomenology based on known values of rotational and vibrational energies. This allows us to compute numerically the leading deviations to the Saha pressure along several isotherms and isochores. Our values are compared with those of the OPAL tables (for pure hydrogen) calculated within the ACTEX method.

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“…Оно получается равным 60 ± 20 атм. Концентрация атомов кремния в канале капилляра приблизительно равна и кислорода Степени ионизации атомов кислорода и кремния определены по формуле [22] и номограмме [40]. Они равны для OI, ОII и OIII соот ветственно 99,6; 90 и 5% и для SiI, SiII, SiIII и SiIV -99,9; 96,5; 93 и 43%.…”

Section: экспериментальное определение глубины непрерывного ряда верхunclassified

“…Давление полу чилось соответственно 13, 14 и 21 атмосфера. По этим данным, применяя систему уравнений, включая уравнение Саха [22], он вычислил температуру и степень ионизации плазмы в канале трубки.…”

Section: Introductionunclassified

Continuous spectrum of a condensed discharge in a capillary

Ovechkin¹

1992

Usp. Fiz. Nauk

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LIII. Ionization in the solar chromosphere

Cited by 385 publications

References 0 publications

Equations of state for hydrogen and deuterium.

Equations of state for hydrogen and deuterium.

Pressure of a Partially Ionized Hydrogen Gas: Numerical Results from Exact Low Temperature Expansions

Continuous spectrum of a condensed discharge in a capillary

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