Thermodynamic properties of oxygen molecules at high temperatures

Biolsi, Louis; Holland, Paul M.

doi:10.1007/bf01448221

Cited by 7 publications

(9 citation statements)

References 16 publications

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“…In Fig. 6, the notation 1.0 indicates that the calculations are done without modified collision integrals, j tr (1.3) and j tr (0.7) are obtained with the first approach with modified collision integrals (multiplied by 1.3 or 0.7 respectively) and j tr (Biolsi) represents Biolsi data [16]. In Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Starting from the work of Biolsi and Holland [16], we have introduced new averaged collision integrals. We introduce the probability a ij associated with two interacting species i and j (i, j = S, D or P for N( 4 S), N( 2 D) or N( 2 P) respectively) as a ¼ nðiÞ n t Â nðjÞ n t (independent 5 S u,g , 5 P u,g , 5 D u,g 3, 10, 20, 20 5 S u,g , 3 P g , 5 P u,g 3, 10, 6, 20…”

Section: New Averaged Collision Integralsmentioning

confidence: 99%

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Influence of the Excited States of Atomic Nitrogen N(2D) and N(2P) on the Transport Properties of Nitrogen. Part I: Atomic Nitrogen Properties

Sourd

André

Aubreton

et al. 2006

Plasma Chem Plasma Process

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In this paper, calculated values of the viscosity and thermal conductivity of atomic nitrogen, taking into account three species (the ground and two excited states), are presented. The calculations, which assume that the temperature dependent probability of occupation of the states is given by the Boltzmann factor, are performed for atmospheric-pressure in the temperature range from 1,000 to 20,000 K. Six collision integrals are used in calculating the transport coefficients and we have introduced new averaged collision integrals where the weight associated at each interacting species pair is the probable collision frequency. The influence of the collision integral values and energy transfer between two different species is studied. These results are compared which those of published theoretical studies.

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Section: Resultsmentioning

confidence: 99%

Section: New Averaged Collision Integralsmentioning

confidence: 99%

Influence of the Excited States of Atomic Nitrogen N(2D) and N(2P) on the Transport Properties of Nitrogen. Part I: Atomic Nitrogen Properties

Sourd

André

Aubreton

et al. 2006

Plasma Chem Plasma Process

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“…The spectroscopic constants in the expression for the vibrational-rotational energy, Eq. 10, are obtained by making a fit to infrared spectra in such a way that the fit becomes less accurate as the quantum numbers v i and J i increase [4,30,34,38,39]. Since vibrational states become very closely spaced as v i becomes large, the high density of high v i states makes this contribution significant [4].…”

Section: Discussionmentioning

confidence: 99%

“…The first three semiclassical expressions for B i (T ) are also included in the calculation. These somewhat lengthy results, which depend on the derivatives of V i (r ) with respect to r, are given elsewhere [32][33][34]. Thus, the virial coefficient for an electronic state depends only on the potential energy for that state; in this case it is determined by the nine bound state potentials of Na 2 discussed above.…”

Section: Heat Capacity Of Namentioning

confidence: 97%

The Transport Properties of Sodium Atoms and the Heat Capacity of Sodium Dimers at High Temperatures

Biolsi

Holland

2010

Int J Thermophys

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Including the contribution of excited state atoms can improve calculations of dilute gaseous transport properties at high temperatures. For sodium, experimental and/or theoretical information is available about the potential energy curves associated with each of ten low-lying states of the sodium dimer. These include the X 1 g + and 3 u + states that dissociate to two ground state 2 S sodium atoms and the four 3 g,u + , 1 g,u + , 1 g,u , 3 g,u gerade/ungerade pairs of states that dissociate to a ground state 2 S atom and an excited state 2 P atom. Nine of these are bound states and have been fitted with the Hulburt-Hirschfelder potential, a very good general purpose atom-atom potential. The 3 g state is not bound and has been fitted with the exponential repulsive potential. We have used these potentials to calculate viscosity collision integrals as a function of temperature, and employed degeneracy-weighted averaging to determine the viscosity and translational contribution to the thermal conductivity of the sodium atoms. These same potentials have been used to calculate the heat capacity, C o p , of the sodium dimer using an approach that depends on the second virial coefficient and its first two temperature derivatives. Again, the inclusion of molecular states that dissociate to an excited state atom allows C o p to be determined with improved accuracy at higher temperatures. Thus, thermophysical property calculations for sodium have been extended to 25,000 K. These results are compared with previous results, including heat capacities given in the NIST-JANAF Thermochemical Tables.

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“…This expression is based on the assumption that the interacting atoms are at local equilibrium which is reasonable since the transport properties are nearly equilibrium properties, i.e., the gradients in composition, energy, and momentum are small [40]. Some degeneracy averaged viscosity cross sections are given in Table 3.…”

Section: Transport Propertiesmentioning

confidence: 99%

Theoretical Calculation of the Low-Density Transport Properties of Monatomic Silver Vapor

Biolsi

Holland

2007

Int J Thermophys

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Calculations of low-density transport property collision integrals are used to obtain the high-temperature transport properties of silver atoms as a function of temperature. The collision integrals depend on the two-body interaction potentials between silver atoms in various electronic states. Contributions are included from the ground X 1 + g and excited 3 + u molecular electronic states of the silver dimer that dissociate to two ground-state silver atoms and from the excited A 1 + u molecular state that dissociates to a ground state and an excited state silver atom. Spectroscopic constants are available for these three electronic states, and these spectroscopic constants have been used to determine the Hulburt-Hirschfelder (HH) potentials for these three states. The HH potential is perhaps the best general-purpose potential for representing atom-atom interactions. This potential depends only on the spectroscopic constants, and can be used to calculate the viscosity and diffusion collision integrals for the three molecular electronic states. The collision integrals are then degeneracy averaged over the three states. The heat capacity of silver atoms is also calculated at high temperatures. These results provide the information required to obtain the thermal conductivity, viscosity, and self-diffusion coefficients of silver atoms over a wide temperature range from the boiling point of silver to temperatures at which ionization becomes important.

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Thermodynamic properties of oxygen molecules at high temperatures

Cited by 7 publications

References 16 publications

Influence of the Excited States of Atomic Nitrogen N(2D) and N(2P) on the Transport Properties of Nitrogen. Part I: Atomic Nitrogen Properties

Influence of the Excited States of Atomic Nitrogen N(2D) and N(2P) on the Transport Properties of Nitrogen. Part I: Atomic Nitrogen Properties

The Transport Properties of Sodium Atoms and the Heat Capacity of Sodium Dimers at High Temperatures

Theoretical Calculation of the Low-Density Transport Properties of Monatomic Silver Vapor

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