ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND ...aei.pitt.edu/91364/1/3907.pdfElectrical conductivity,...

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EUR 3907e EUROPEAN ATOMIC ENERGY COMMUNITY - EURATOM !f ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND TRACER-DIFFUSION COEFFICIENTS IN MOLTEN NITRATES BINARY MIXTURES by S. FORCHERI, V. WAGNER and E. BERRA 1968 Joint Nuclear Research Center Petten Establishment - Netherlands Paper presented at the Convegno dei Metalli non ferrosi, Milan -Italy, 8 - II.10.1967

Transcript of ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND ...aei.pitt.edu/91364/1/3907.pdfElectrical conductivity,...

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EUR 3907e

EUROPEAN ATOMIC ENERGY COMMUNITY - EURATOM

!f ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND TRACER-DIFFUSION COEFFICIENTS IN MOLTEN NITRATES

BINARY MIXTURES

by

S. FORCHERI, V. WAGNER and E. BERRA

1968

Joint Nuclear Research Center Petten Establishment - Netherlands

Paper presented at the Convegno dei Metalli non ferrosi, Milan -Italy, 8 - II.10.1967

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LEGAL NOTICE

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Neither the Commission of the European Communities, its contractors nor any person acting on their behalf :

Make any warranty or representation, express or implied, with respect to the accuracy, completeness, or usefulness of the information contained in this document, or that the use of any information, apparatus, method, or process disclosed in this document may not infringe privately owned rights ; or

Assume any liability with respect to the use of, or for damages resulting from the use of any information, apparatus, method or process disclosed in this document.

This report is on sale at the addresses listed on cover page 4

at the price of FF 4.— FB 40.— DM 3.20 Lit. 500 Fl. 3,

When ordering, please quote the EUR number and the title, which are indicated on the cover of each report.

Printed by Vanmelle S.A. Brussels, September 1968

This document was reproduced on the basis of the best available copy.

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EUR 3907 e ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND TRACER-DIFFUSION COEFFICIENTS IN MOLTEN NITRATES BINARY MIXTURES by S. FORCHERI, V. WAGNER and E. BERRA

European Atomic Energy Community — EURATOM Joint Nuclear Research Center — Petten Establishment (Netherlands) Paper presented at the Convegno dei metalli non ferrosi Milan (Italy), 8-11.10.1967 Brussels, September 1968 — 24 Pages — 14 Figures — FB 40

Some results of the experimental research work relative to the deter­mination of transport parameters in molten salts carried out in the Electrochemistry Group of the JRC Petten, are described.

Electrical conductivity, ion mobilities and cation tracer diffusion coefficients have been measured in molten nitrate binary mixtures (Na-Tl)NO.,, (Na-Rb)N03 and (Tl-Rb)N03. In some cases density and viscosity measurements were as well carried out.

The following characteristic points have been found to be valid for the nitrate binary mixtures :

EUR 3907 e ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND TRACER-DIFFUSION COEFFICIENTS IN MOLTEN NITRATES BINARY MIXTURES by S. FORCHERI, V. WAGNER and E. BERRA

European Atomic Energy Community — EURATOM Joint Nuclear Research Center — Petten Establishment (Netherlands) Paper presented at the Convegno dei metalli non ferrosi Milan (Italy), 8-11.10.1967 Brussels, September 1968 — 24 Pages — 14 Figures — FB 40

Some results of the experimental research work relative to the deter­mination of transport parameters in molten salts carried out in the Electrochemistry Group of the JRC Petten, are described.

Electrical conductivity, ion mobilities and cation tracer diffusion coefficients have been measured in molten nitrate binary mixtures (Na-Tl)NO,, (Na-Rb)NO= and (Tl-Rb)NO,. In some cases density and viscosity measurements were as well carried out.

The following characteristic points have been found to be valid for the nitrate binary mixtures :

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— The equivalent conductivity excesses depend on the difference in cationic size. The equivalent conductivity of systems the cations of which have the same radius, or the components of which have about the same molar volumes, depends linearly on the composition.^

— Fluidity presents small positive deviations from linearity in the systems with cations of different sizes.

— The internal ion mobility of the smaller cation varies rapidly with composition in the region near by the component with the smaller cation. The mobility of the larger cation is rather insensible to the change in composition. The mobility of both cations is nearly equal at the side of the larger cation. No significant crosses of mobility seem to exist.

— The cation diffusion coefficients, if corrected for the variation of the fluidity, vary nearly linearly with composition. The diffusion of traces in pure salts is enhanced (hindered) if the diffusing particle is larger (smaller) than the proper cation of the melt.

All these experimental evidences point out that the polarization of the common anion in these mixtures is the main factor determining the transport behaviour.

— The equivalent conductivity excesses depend on the difference in cationic size. The equivalent conductivity of systems the cations of which have the same radius, or the components of which have about the same molar volumes, depends linearly on the composition.

— Fluidity presents small positive deviations from linearity in the systems with cations of different sizes. composition in the region near by the component with the smaller

— The internal ion mobility of the smaller cation varies rapidly with cation. The mobility of the larger cation is rather insensible to the change in composition. The mobility of both cations is nearly equal at the side of the larger cation. No significant crosses of mobility seem to exist.

— The cation diffusion coefficients, if corrected for the variation of the fluidity, vary nearly linearly with composition. The diffusion of traces in pure salts is enhanced (hindered) if the diffusing particle is larger (smaller) than the proper cation of the melt.

All these experimental evidences point out that the polarization of the common anion in these mixtures is the main factor determining the transport behaviour.

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EUR 3907e

EUROPEAN ATOMIC ENERGY COMMUNITY - EURATOM

ELECTRICAL CONDUCTIVITY, ION MOBILITIES AND TRACER-DIFFUSION COEFFICIENTS IN MOLTEN NITRATES

BINARY MIXTURES by

S. FORCHERI, V. WAGNER and E. BERRA

1968

Joint Nuclear Research Center Petten Establishment - Netherlands

Paper presented at the Convegno dei Metalli non ferrosi, Milan-Italy, 8 - I I . 10.1967

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SUMMARY

Some results of the experimental research work relative to the deter­mination of transport parameters in molten salts carried out in the Electrochemistry Group of the JRC Petten, are described.

Electrical conductivity, ion mobilities and cation tracer diffusion coefficients have been measured in molten nitrate binary mixtures (Na-Tl)NOs, (Na-Rb)N03 and (Tl-Rb)N03. In some cases density and viscosity measurements were as well carried out.

The following characteristic points have been found to be valid for the nitrate binary mixtures : — The equivalent conductivity excesses depend on the difference in

cationic size. The equivalent conductivity of systems the cations of which have the same radius, or the components of which have about the same molar volumes, depends linearly on the composition.

— Fluidity presents small positive deviations from linearity in the systems with cations of different sizes.

— The internal ion mobility of the smaller cation varies rapidly with composition in the region near by the component with the smaller cation. The mobility of the larger cation is rather insensible to the change in composition. The mobility of both cations is nearly equal at the side of the larger cation. No significant crosses of mobility seem to exist.

— The cation diffusion coefficients, if corrected for the variation of the fluidity, vary nearly linearly with composition. The diffusion of traces in pure salts is enhanced (hindered) if the diffusing particle is larger (smaller) than the proper cation of the melt.

All these experimental evidences point out that the polarization of the common anion in these mixtures is the main factor determining the transport behaviour.

KEYWORDS

FUSED SALTS SODIUM NITRATES THALLIUM NITRATES RUBIDIUM NITRATES ELECTRIC CONDUCTIVITY ELECTROPHORESIS DIFFUSION DENSITY VISCOSITY MOBILITY POLARIZATION ELECTROCHEMISTRY EQUILIBRIUM IMPURITIES TRACE AMOUNTS

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Electrical Conductivity, Ion Mobilities and Tracer-Diffusion Coefficients in Molten Nitrates Binary Mixtures. (*)

Equilibrium properties of molten binary mixtures with a common anion have been successfully correlated to the anion polarization effect (O (2) (3).

To obtain detailed information on the factors affecting transport properties,- conductivity, e lectrical and diffusional ion mobility must be determined.

This paper presents some results relative to the nitrate binary mixtures.

EXPERIMENTAL METHODS AND PRELIMINARY RESULTS

The experimental set up and methods will not be described here. Only few information on the method for determining electrical and diffusional mobilities is given.

Thee e quantities have been measured by means of a zone radio-tracer electrophoresis and diffusion technique on thin layers of ceramic oxides (4) (5) (6). The thin layers , which adhere to sintered aluminia or zirconia strips , are of two different types : - powder and then the preparation i s performed according the usual

thin layers chromatographic techniques, or - fritted porous material (aluminia, zirconia or magnesia) and then

the layer i s obtained with a flame spraying technique by exposing the sintered strip to a flux of molten ceramic particles.

The impregnation with the salt of these thin layers i s achieved by capillary action by connecting the strip to two reservoirs containing the melt, via quartz fiber or small ceramic strip bridges.

The mobility of both cations of the mixture are determined simultaneously at each composition by measuring the velocity of displacement of several labelled zones when a potential drop i s applied to the ends of the strip.

The ionic mobility of a cation i s proportional to its zone mobility u :

u = K u (K > 1 ) w ζ

where u i s the rate of the displacement of the labelled zone in unit apparent electrical field, and the factor Κ accounts for the obstruction

(*) Manuscript received on November 7, 1967·

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of the particles of the porous support to the ionic migration.

If this correction factor i s defined as the inverse of the obstruction factor defined by Crawford and Edward (?) for paper e lec tro­phoresis , i , est , as the ratio of the calculated conductivity of the melt without the non conducting particles, and the measured conductivity of the strip :

R X .p

Ρ

where R i s the res istance of the strip per unit length, X = the specific conductivity of the melt , d the density, and ρ the salt weight per unit length, then the following formula for u can be used :

w d q x

'

where 1 = measured displacement of the labelled zone, q = ionic charge passed through the strip.

According this formula u can be determined without any knowledge of the K factor. On the contrary to measure diffusion coefficients from the Gaussian activity distribution on the strip,these parameters must be determined by means of a measurement of R . The formula used i s : 7

Ρ

D= —h ñr <

3>

where S is the slope of the plots log activity ve the squared distance from the Gaussian centre and t i s the diffusion t ime.

In Fig. 1 the assembly used in the diffusion experiments i s shown. The strip i s in reverse position in respect of the usual one for measuring R with the knife­type electrodes placed in contact with the porous layer.

Fig. 2 presents the diffusion profiles of Tl­204 in TINO, determined at two different times . According to the diffusion equation, the slopes of the straight l ines reported in the lower part of the figure are inversely proportional to the respective diffusion t imes .

To make sure that there are no se lect ive interactions between the porous support and the various sa l ts , a s er i e s of determinations of the obstructive factor was carried out by measuring the conductivity of porous thin layers impregnated with various molten nitrates.

In Fig. 3 Κ =γ- ( ? = obstruction factor) i s plotted ve the section of the electrolyte for a number of aluminia porous fritted layers impregnated with various molten nitrates: in all the cases the Κ factor is independent from the salt on the support. In Fig. 4. the same factor i s plotted ve the fraction of the bed filled with the salt (the porosity

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of the bed), for a ser ie s of aluminia powder strips. The solid line represents the function :

K =( 1 - 0. 61 0 ) ( 1 - 0 ) j/J" fy (4)

in which 0 i s the fraction of the bed filled with the non-conducting particles.

This equation, derived by Boyack and Giddings accounts for the obstruction in zone electrophoresis with any simple grain geometry. It has been obtained starting from the consideration that the obstruction to the migration in systems of this type i s a consequence of two factors : the tortuosity of the channels of the support and of the variation of the cross section of the electrolyte along the migration patways (i¿ est , it involves a tortuosity and a constriction factor).

To make sure that the ionic mobility values are not influenced by select ive interactions between unlike charged ions and the support, an internal reference frame i s chosen by referring the cationic mobilit ies to the NO" ion (8) (9).

RESULTS

Electrical conductivity

In Fig. 5 the specific and equivalent conductivity isotherms of the three systems are reported. The Na-Rb and Na-Tl systems were also investigated by De Noojer (10) and Protsenko U*).

The equivalent conductivities were calculated by using molar volume data available in literature for Na-Rb (12) (13); the results of our determinations for Na-Tl U^) and a linear extrapolation for Tl -Rb.

Na-Tl .and Na-Rb isotherms exibit usual negative deviations from linearity ' ' whereas that of Tl-Rb is linear with composition.

The calculated exces se s of apparent activation energy for the equivalent conductivity for the binary systems Na-alkaly nitrates, Tl-alkali nitrates and Rb-alkali nitrates are always positive; the larger the difference between the cationic radii the larger is this effect \ 1 4 ) . For the Tl-Rb system the activation energy is additive.

Internal mobilities

Fig. 6 presents the cationic internal mobilities of the three sys tems . The following observations can be drawn : - On the side of the smaller cation the mobility of this latter var ies

rapidly with the composition. -The mobility-of the larger cation i s l e s s influenced by the changes in

composition.

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­ No significant c r o s s e s of mobility exist.

­ For the (Tl­Rb) system, the cations of which have the same s ize (or the components of which have nearly equal molar volumes) the mobilities are equal and vary linearly with composition.

This behaviour, except for the c r o s s e s of mobility i s s imilar to that of (Li­K)Cl (

9) , investigation by Laity, of (Li­K)S04 of Kvist (

l 6)

and, if internal quantities are considered, to that of (Li­K)N03 of Lantelme and Chemla (1?) (18).

Fig. 7 presents the fluidity isotherms of the three sys t ems .

Data relative to Na­Tl are Fr iz ' s unpublished results Data relative to Na­Rb are of Murgulescu and Zuca (19).

The few data relative to Rb­Tl are of ours preliminary resul ts .

Now, if the polarization of the common anion, as suggested by Laity, i s the main factor determining the transport behaviour of mixtures, two conditions must be verified.

­ First : the negative e x c e s s e s of equivalent conductivity of binary mixtures must be related to the polarization energy term; according Lumsden '■*) :

rI

2 A 7 (5)

or better

h??* ' v2/3 7

— v

i v

n ­_/

(6)

where VT and V­. are the molar volumes of the two salts .

The plots of the exces ses of equivalent conductivity vs this polarization term is linear : the first point i s fairly wel l verif ied.

­ Second : the trend of mobilities in a binary system passing from a pure component to the mixture must be related to the probability of formation of polarized anion with composition.

If these solutions are considered as regular ones , i , est , if the ions are randomly distributed (20) t w e c a n define the function :

pNax = ^Najjlfajj ,,, p=

~νΓ ~~^ (7)

where X*ja = molar fraction of NaNO,, as the ratio between the chance of finding an ion triplet Na­N0, ­Me f Me=Tl or Rb) at composition X j j » and the chance of finding it at the e qui molecular mixture.

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The decrease of the sodium mobility, or of the ratio between the mobility and fluidity, in the range 0. δ ^ Χ ^ < 1, may be related to the increase of this function by means of a relation of this type :

U x = U l - <U1 - U 0 . 5>P W where U. i s the ratio between the mobility and fluidity in pure sodium nitrate and U_ _ the same quantity in the equimolecular mixture. In Fig. 8 this quantity i s plotted ve the composition (for Na-Tl and Na-Rb); the c r o s s e s represent the calculated points.

Effect of traces of foreign cat ions on the mobility of the proper ion of the melt

This point of view i s also supported by the results of a s er i e s of conductivity determinations in NaNO? containing small quantities of other univalent nitrates.

The determination of the electrical conductivity in systems of this type represents a simple tool to investigate the effect of a foreign cation on the mobility of the proper cation of the melt : infact the slope of the curve conductivity vs concentration of the added impurity, at concentration zero of the added impurity, represents the tendency to lowering or to increasing of the internal mobility of the proper cation of the melt , caused by the adding of the foreign ion.

In Fig. 9 the decrease of the conductivity of NaNO, v s the concen­tration of the added salts i s reported. In the right part of the figure the slopes of the straight-line s are plotted vs the polarization parameter.

In Fig. 10 the above plots are compared with an analogous one relative to the system Li_S0 .-alkali SO .; data on sulphates are of Kvist. The slope of the sulphates i s l arger of that of nitrates (as the polarizability of the anions).

Diffusion

In Fig. 11 the cation tracer diffusion coefficients relative to the sys tems (Na-TljNO, (6) (Na-Rb)N03 and some preliminary results on (Tl-Rb)NO, are presented.

There are small positive deviations from linearity (as in the case of the fluidity); a similar trend has been also observed in (Li-K)NOj by Lantelme and Chomla U 8 ) and in (Li-Na)C03 by Spedding and Mills (21).

In the case of the Na-Tl the apparent activation energies for diffusion of both cations are equal one to another at all compositions.

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A similar behaviour has been observed by Francini and Martini, (22) (23) by means of Polarographie measuremente, relatively to a large number of cations and anions in nitrate eutectics.

Fig. 12 presents the plots of -r for the three sys tems . This function is nearly constant with composition in the case of Tl-Rb and it decreases l inearly in the Na-Tl and Na-Rb. This behaviour indicates that the larger the s ize of the proper cation of the melt , the larger i s the hinder to the diffusion of both cations.

If we consider the diffusion of the traces in pure nitrates and if we attempt to apply the Stokes (Sutherland)- Einstein relationship in the c lass ical form :

D . S . £L (9) - r Me'

we can see from the Fig. 13 that this relationship accounts fairly wel l for the diffusion of traces of the proper ion of the sal ts , if an a value of about 4. 6 ]f i s chosen.

The diffusion coefficients of foreign ions smal ler (larger) than the proper ions are below (above), the straight line in Fig. 13 (a value of about 7 ΊΓίοτ Na in TINO, and Li in KNO3; a values of about 3. 5 I f for Tl in NaNOj and Κ in LÌNO3J. Na in TINO3 i s more actracted by the nitrate as in pure NaN03 , Tl in NaN03 l e s s actracted by the nitrate as in TINO3.

Fig. 14 presents the ratio between the a value for the diffusion of the foreign ion and the a value for the proper ion of the melt for a ser ie s of diffusions of traces in molten NaN03 and CsN0 3 v s the polarization parameter; diffusion data in CsN03 have been taken from a Ketelaar's '24) recent reference.

When the radius of the diffusing ion i s larger than that of the proper ion of the melt this ratio decreases ; and v iceversa when the radius of diffusing part ic les i s smaller.

From Raman spectroscopy evidences, in pure molten univalent nitrates, Janz (25) pointed out that the metal ion-nitrate interaction, may cause "the time of residence of thet cation near the anion to be long compared with the time of the molecular vibration". It can be expected that in mixtures this effect for a given cation would be enhanced or hindered according the polarization direction. The stand of a cation near the anion wil l cause a sort of "cooperative act" (21) during the diffusion, which may be related or explain the approximate constance of the diffusion activation energy for all the ions in the same melt , irrespect ive of the different a values.

Finally one can observe that the transport behaviour of the (Na-T1)N03 system i s rather similar to that of the alkali-nitrate binary systems. It s eems that the variation of the London dispersion forces between the cations in mixture, which have some influence on the equilibrium propert ies of this system '26) a r e n o t v e r v significant as regards the irrevers ib le p r o c e s s e s .

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BIBLIOGRAPHY

C. D. Thurmond. -J. Am. Chem. Soc. 75, 3928 (1958)

J. Lumsden. -Discussions Faraday Soc. 32, 138 (1961)

J. Lumsden. -"Thermodynamics of molten salt mixtures" Academic P r e s s London (1966) p. 112-114

S. Forcheri , V. Wagner. -Ann. Chim. Rome 56, 218 (1966)

S. Forcheri , A. Berlin. -J. Chromatogr. 26, 239 (1967)

S. Forcheri , V. Wagner. -Z. Naturforschung 22a. 891 (1967)

R. Crawford, J. Edward. -Anal. Chem. 29, 1543, (1957)

A. Klemm. -"Molten salts chemistry" Ed. by M. Blander, John Wiley & Sons, New York (1964) p. 537

C.T. Moyniham, R. W. L a i t y . -J. Phys. Chem. 68, 3312 (1964)

I I B. De Noojer. -Thes is , Amsterdam (1964)

(11) N. P. Popovskaja, P . I . Protsenko, A. F. Eliseeva. -Russian J. Inorg. Chem. 1_1_, 213 (1966)

(12) G.J. Janz, A. T. Ward, R.D. Reeves. -"Molten Salts Data" - US. A F O S R - N 64-0039 (1964). Rept. Rensselear Polytechn. Inst. , Troy, New York

[13) B. F. Powers , J. L. Katz, O.J. Kleppa. -J. Phys. Chem. 66, 103 (1962)

[14) V. Wagner, S. Forcheri . -Z. Naturforschung 22a, 891 (1967)

[1 5) M. Bizouard. -Ann. Phys. Par i s 6, 851 (1961)

[16) A. Kvist. -Ζ. Naturforsch. 21a, 1601 (1966)

[17) F. Lantelme, M. Chemla. -Electrochimica Acta 10, 663 (1965)

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(18) F . Lantelme, M. Chemla. -Electrochimica Acta Π_, 1023 (1966)

(19) G. Mur gule seu, S. Zuca. -Electrochimica Acta 11_, 1883 (1966)

(20) J. C. Slater. -Introduction to the Chemical Phys ic s . Mc-Gr aw-Hill Co. , New York (1939), p. 275

(21) P. L. Spedding, R. M i l l s . -J. Electrochem. Soc. 113, 599 (1966)

(22) M. F rane ini, S. Martini. -EUR Rept. 1908e (1964)

(23) M. Francini, S. Martini. -Electrochimica Metallerum, in pres s

(24) J .A. A. Ketelaar, J . C . T h . Kwak.-J. Phys . Chem. 71, 1149 (1967)

(25) S. C. Wait, A. T. Ward, G. J. Janz. -J. Chem. Phys . 45, 133 (1966)

(26) O. Kleppa, L. S-. Hersh -J. Chem. Phys . 36, 544 (1962).

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Resistance furnace ~7

Box cover Ceramic support

Stainless stee box

Electrode

Termocouple

Porous laver

Electrode

Quartz insulatn Knife-edge contacts

FIG. 1; Assembly for tracer-diffusion experiments

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ι

FIG. 2: Diffusion profiles of Tl-204 in TINO3 determined at two different times. In the lower part: plets of log activity vs the squared distance from the Gaussian centre

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t

-2

-1

t M

-3

-2

-1

p/dlO3·

2 _ l _

3 —I—

3

-2

-1

O

ï

t I-A

-2

-1

O

p/d-10·

10

ι

FIGj_3: K va the section of the electrolyte for a number of impregnated fritted layers

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I ^

n * 1.5

o Li NO3 Ο ΝαΝ03

• KN03

χ RbN03 Δ CsN03

A TI NO 3

ι

Κ = ( 1 - α θ )2 ( 1 - θ ) 1^-L· per α = 0.61

1.0 -L 0.74 0.76 0.78

ϊϋί'.Λ'· * ν η t ," , Ρ'» f'»·'<! ty for ο number of I wpr ofrna t od pawl nr layers

0.80 1-Θ ■

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FIG. 5: Specific and equivalent conductivities at 320°C

Χ

no χ

V ^ Rt Na-T t

UI

I

<US 0.50 o/js oís 0.50 o.l$

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FIG. 6; Internal mobi l i ty isotherms

TINO«: Q25 0.50 075 Rb NO 3 Mole fraction RbNÛ3 ►

NaN03

NaN03

0.25

Q25

0.50 0.75 RbN03 Mole fraction RbN03 ►

Q50 075 TI NO3 Mole fraction TINO3 ►

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FIGj^r Fluidity isotherms

TINO3 025 · 0.50 0.75 RbN03

Mol· fraction RbN03 ►

35

30

25

-

» •

325°C

^ ^ ^

■ 1 NaN03 0.25 050 0.75 RbN03

Mol· fraction RbN03 ►

NaN03 0.25 0.50 0.75 TIN03

Mol· fraction TINO3 ►

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- 18 -

I Hr

13 -

'ύ 3l ε υ

12

11 O»

Χ

-

FIG. 8: Function U - 4i- va composition: the crosses represent the calculated points according formula (8)

N. ( N a - R b ) N 0 3 325°C

x\· x'*^·*^^

• 1 1 1

-

-10 -

Na NO- 0.25 0.50 0.75 RbN03

Mole fraction RbN03 ►

u

13

12

11

10

9

8

7

-

\ x

x ^

(Na - T l ) N 0 3

X o,^^^

ι

316°C

'

-

-

NaN03 0.25 0.50 0.75 Mole fraction Tl N03

TlN03

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0.10-

χ

o 1

005-

ΝαΝθ3

νΜ· '• 'OA^NorV^«-*

I

FIG. 9; Left side: function - £-í vs Iìle in molten NaNOg.

Bight side: slopes of M e

the above plots vs the polarization parameter

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î LI2S04*M«2SOA (Kvist) ; [ α ^ * 5.19^ 4.09 Ä3

]

3

d

„t i s χ

< ι

Ag

NaNCXj + MeN03 (This work) ; Γ α , ^ = 3.81 π-3.36 Ä3]

10

10 V<A. 15

-rWeNOa ) f'A^3-'A¿ \ Li2°S04 W

20

©

FIG. 10; ­ Ax Function £~ ' ο—__7γ ^ vs the polarization parameter in

molten NaNO« and in molten Li„S0.

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21

TINO, 0.25 OSO 0.75 RbNO,

Mole fraction RbNO·:

N0.NO3 0.25 0.50 0.75

Mol· fraction RbN03 -

M r

15

1

0 = N a

Δ=ΤΙ

RbNO·:

NaN03 025 Q50 075 TINO3

Mol· fraction TlN03 ►

FIG. 11: Cation diffusion coeff icients isotherms

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io7 a ■ D

(gr. cm sec"2)

t 5-

i -

• - Π - Rb

TIN03 mole fraction Rb NO3

NaN03 '

Rb Ν 03

0,6 00 τι

N03

FIG. 12: Function -£ vs composition

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23

D ve lMe'

(eq.9). Circular full points: size of the diffusing ion - size of the proper ion of the melt - Square open points: size of the d.i.> size of the p.i. of the melt - Triangular open points: size of the d.i.< size of the p.i. of the melt. For detailed references relative diffusion and viscosity data see (6).

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aMe,(MeN03)

QMe(MeN03)

FIG. 14: Ratio between the a value for the diffusion of the foreign ions and the a value for the diffusion of the proper ion for a series of diffusion of traces in molten NaNOg and Cs NO3 vs the polari­zation parameter.

Rb(CsN03) K(CsN03Ì

I

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