Atomic Consideration of Immiscibility in Glass Systems*

Warren, Β. E.; Pincus, A. G.

doi:10.1111/j.1151-2916.1940.tb14194.x

Cited by 100 publications

(15 citation statements)

References 5 publications

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“…An explanation based on crystal-chemistry concepts of the immiscibility of systems with an open region of phase separation (shown on the phase diagram by the well-known bell-shaped curve) was given by Warren and Pincus [133]. Total miscibility is determined by the fact that the network-forming cations in the meltnamely, the glass-forming Si 4 +, B 3 +, and p5+ -strive to become bonded by strong ionic chemical bonds to all the closest oxygen ions.…”

Section: Two-phase Separation and Catalyzed Crystallization Of Glass mentioning

confidence: 99%

Glass-Ceramics and Photo-Sitalls

Berezhnoi¹,

Mersol²,

Pincus³

1995

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Section: Two-phase Separation and Catalyzed Crystallization Of Glass mentioning

confidence: 99%

Glass-Ceramics and Photo-Sitalls

Berezhnoi¹,

Mersol²,

Pincus³

1995

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“…other ions into the base composltIOn. The equatIOn for electrostatic bonding energy [20] is E = -2122e 2 /RI2; where E = electrostatic bonding energy, 21 and 22 are the valences of the cation and the oxygen ion respectively, e is the charge of the el.ectron, .and RI2 is the cation to oxygen distance .. ThlS eq~at~on states t~at the magnitude of the bondmg .energles mcr~ases wlth the valences and decreases wlth the atomlC separat ion. Figure 7 7 is a plot of the logar~thm of the resistivity at 200 0 C .agll:mst the ~oganthm of the quantity (-e-2 E) whlCh lS proportlon~l to.…”

Section: 1 Electrostatic Bonding Energy Considerationsmentioning

confidence: 99%

Fundamental factors controlling electrical resistivity in vitreous ternary lead silicates

Strauss¹,

Moore²,

Harrison³

et al. 1956

J. RES. NATL. BUR. STAN.

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The resistivities of selected vitreous t ernary lead silicates containing ions of g roups I , II, III, IV, and a lso the ions chromium, mangan ese, iron, cobalt, and nickel were meas ured in the range 200 0 to 500 0 C and at an applied direct-current fi eld of 525 volts per centimete r. In addition, the resis tivities of vitreous silica and of quartz, wit h op t ic ax is parallel and perpendicular to t he applied fi eld, were m eas ured over t he same te mperatu re range. The resu lting data a re given as log resistivity-composi tion isotherms for the alkalies and alkaline earths and as log resisti vity-temperat ure curves for the other ions. Correlations between resistivity and bonding energy and between frequency factor and heat of activation are presented. The resistivit ies of the al kali lead silicates were interpreted from the stan dpoint of t he activation energy prin ciple.

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“…In order to explain the immiscibility tendency, Warren and Pincus considered the immiscibility of silicate melts in terms of a competition between network-forming (NWF) cations and network-modifying (NWM) cations for oxygen ions around them, considering that the immiscibility tendency depends strongly on the field strength of the network-modifying cation [3]. Following their approach, several models to reproduce the immiscibility boundary have been proposed [4][5][6].…”

Section: Introductionmentioning

confidence: 99%