A rechargeable solid-state proton battery with an intercalating cathode and an anode containing a...

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Ž . Journal of Power Sources 76 1998 116–123 Short communication A rechargeable solid-state proton battery with an intercalating cathode and an anode containing a hydrogen-storage material Kamlesh Pandey, N. Lakshmi, S. Chandra ) Department of Physics, Banaras Hindu UniÕersity, Varanasi 221 005, India Received 28 May 1998; accepted 23 June 1998 Abstract Rechargeable proton batteries have been fabricated with the configuration Zn qZnSO P 7H Orrsolid-state proton conductorrrC q 4 2 Ž . electrolyte qintercalating PbO qV O . The solid-state proton conductor is phosphotungstic acid H PW O P nH O oraH PW O 2 2 5 3 12 40 2 3 12 40 Ž . P nHO qAl SO P 16H O composite. The maximum cell voltage is ;1.8 V at full charge. The cell can run for more than 300 h at 2 2 43 2 Ž y2 . low current drain 2.5 m A cm . Further, the cell can withstand 20 to 30 cycles. The addition of a metal hydride in the anode side Ž . enhances the rechargeability and the addition of a small amount of Al SO P 16H O in the H PW O P nH O electrolyte improves 2 43 2 3 12 40 2 the performance of the battery. q 1998 Elsevier Science S.A. All rights reserved. Keywords: Rechargeable proton battery; Proton conductor; Anode; Cathode 1. Introduction Extensive efforts have recently been directed towards the development of all-solid-state batteries, particularly in view of their possible advantages in terms of long shelf-life, less electrode corrosion, higher temperature range of oper- ation, easy leakproofingrpacking, etc. Attempts have also been made to obtain rechargeable solid-state batteries by choosing suitable reversible cathodicranodic half-cell re- w x actions 1,2 . One approach is to use a cathode consisting Ž of intercalating layered material TiS , PbO , V O , MnO , 2 2 2 5 2 . etc. into or from which small ions can either be interca- lated or de-intercalated during discharge and charge, re- spectively. The intercalation efficiency is generally high for small ions and thus Li q and H q ion based recharge- able batteries as prime candidates. There have been many studies of Li q -based batteries because of the availability of good lithium ion conductors and a large electrochemical w x window 2,3 . In the last decade, many good proton con- ductors have also been developed and, hence, a commer- w x cially viable proton battery becomes a possibility 4–7 . The anode material of an ideal proton battery must be able Ž q . to maintain a supply of protons H . Such materials could w x be salt hydrates or metal hydrides 4,8,9 . The research ) Corresponding author. Fax: q91-542-317-074; E-mail: [email protected] Ž reported here uses a lightweight metal hydride Mis- . chmetal-based hydrogen storage material developed in our w x Ž department 10 . Phosphotungstic acid H PW O P 3 12 40 . Ž . nHO or H PW O P nHO q Al SO P 16H O com- 2 3 12 40 2 2 4 3 2 posite is employed as a proton-conducting electrolyte. Although H PW O P nH O is a good proton conductor 3 12 40 2 w x Ž q . 11 , it loses its water of crystallisation i.e., source of H very quickly with decrease in humidity and its pellitization leads to partial dehydration. The pellets obtained are often sticky. In order to overcome this problem, an attempt has been made to prepare composites of phosphotungstic acid with aluminium sulfate which is also a proton conductor, w x but a poor one 12 . Intercalating cathodes such as TiS , 2 Ž . PbO , V O , MnO , etc. used singly or in combination 2 2 5 2 were chosen for preliminary studies. More than 60 cell configurations were investigated. The present paper gives the typical characteristics for a few selected cells with the following configuration: Anode A or A or A rSolid proton conductor SPC Ž . Ž . 1 1 2 3 or SPC rC q proton conducting electrolyte q VO Ž . 2 2 5 q PbO 2 where: A s Zn; A s Zn q ZnSO P 7H O; A s Zn q 1 2 4 2 3 Ž . ZnSO P 7H O q metal hydride; SPC s H PW O P 4 2 1 3 12 40 Ž . Ž . n H O; SPC s x H PW O P n HO q 1 y x Al - 2 2 3 12 40 2 2 Ž . SO P 16H O. 4 3 2 0378-7753r98r$19.00 q 1998 Elsevier Science S.A. All rights reserved. Ž . PII: S0378-7753 98 00132-3

Transcript of A rechargeable solid-state proton battery with an intercalating cathode and an anode containing a...

Page 1: A rechargeable solid-state proton battery with an intercalating cathode and an anode containing a hydrogen-storage material

Ž .Journal of Power Sources 76 1998 116–123

Short communication

A rechargeable solid-state proton battery with an intercalating cathodeand an anode containing a hydrogen-storage material

Kamlesh Pandey, N. Lakshmi, S. Chandra )

Department of Physics, Banaras Hindu UniÕersity, Varanasi 221 005, India

Received 28 May 1998; accepted 23 June 1998

Abstract

Rechargeable proton batteries have been fabricated with the configuration ZnqZnSO P7H Orrsolid-state proton conductorrrCq4 2Ž .electrolyteq intercalating PbO qV O . The solid-state proton conductor is phosphotungstic acid H PW O PnH O or a H PW O2 2 5 3 12 40 2 3 12 40

Ž .PnH OqAl SO P16H O composite. The maximum cell voltage is ;1.8 V at full charge. The cell can run for more than 300 h at2 2 4 3 2Ž y2 .low current drain 2.5 mA cm . Further, the cell can withstand 20 to 30 cycles. The addition of a metal hydride in the anode side

Ž .enhances the rechargeability and the addition of a small amount of Al SO P16H O in the H PW O PnH O electrolyte improves2 4 3 2 3 12 40 2

the performance of the battery. q 1998 Elsevier Science S.A. All rights reserved.

Keywords: Rechargeable proton battery; Proton conductor; Anode; Cathode

1. Introduction

Extensive efforts have recently been directed towardsthe development of all-solid-state batteries, particularly inview of their possible advantages in terms of long shelf-life,less electrode corrosion, higher temperature range of oper-ation, easy leakproofingrpacking, etc. Attempts have alsobeen made to obtain rechargeable solid-state batteries bychoosing suitable reversible cathodicranodic half-cell re-

w xactions 1,2 . One approach is to use a cathode consistingŽof intercalating layered material TiS , PbO , V O , MnO ,2 2 2 5 2

.etc. into or from which small ions can either be interca-lated or de-intercalated during discharge and charge, re-spectively. The intercalation efficiency is generally highfor small ions and thus Liq and Hq ion based recharge-able batteries as prime candidates. There have been manystudies of Liq-based batteries because of the availability ofgood lithium ion conductors and a large electrochemical

w xwindow 2,3 . In the last decade, many good proton con-ductors have also been developed and, hence, a commer-

w xcially viable proton battery becomes a possibility 4–7 .The anode material of an ideal proton battery must be able

Ž q.to maintain a supply of protons H . Such materials couldw xbe salt hydrates or metal hydrides 4,8,9 . The research

) Corresponding author. Fax: q91-542-317-074; E-mail:[email protected]

Žreported here uses a lightweight metal hydride Mis-.chmetal-based hydrogen storage material developed in our

w x Ždepartment 10 . Phosphotungstic acid H PW O P3 12 40. Ž .nH O or H PW O PnH OqAl SO P16H O com-2 3 12 40 2 2 4 3 2

posite is employed as a proton-conducting electrolyte.Although H PW O PnH O is a good proton conductor3 12 40 2w x Ž q.11 , it loses its water of crystallisation i.e., source of Hvery quickly with decrease in humidity and its pellitizationleads to partial dehydration. The pellets obtained are oftensticky. In order to overcome this problem, an attempt hasbeen made to prepare composites of phosphotungstic acidwith aluminium sulfate which is also a proton conductor,

w xbut a poor one 12 . Intercalating cathodes such as TiS ,2Ž .PbO , V O , MnO , etc. used singly or in combination2 2 5 2

were chosen for preliminary studies. More than 60 cellconfigurations were investigated. The present paper givesthe typical characteristics for a few selected cells with thefollowing configuration:

Anode A or A or A rSolid proton conductor SPCŽ . Ž . 11 2 3

or SPC rCqproton conducting electrolyteqV OŽ . 2 2 5

qPbO2

where: A sZn; A sZnqZnSO P7H O; A sZnq1 2 4 2 3Ž .ZnSO P 7H O q metal hydride; SPC s H PW O P4 2 1 3 12 40

Ž . Ž .nH O; SPC s xH PW O P nH O q 1 y x Al -2 2 3 12 40 2 2Ž .SO P16H O.4 3 2

0378-7753r98r$19.00 q 1998 Elsevier Science S.A. All rights reserved.Ž .PII: S0378-7753 98 00132-3

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The results are given only for those cells for which theactive intercalation material chosen is a mixture of twointercalating materials, viz., V O qPbO , which give a2 5 2

relatively better performance. The best performance isachieved when V O and PbO are used as a mixture2 5 2

rather than separately.

2. Experimental

The materials employed were of analytical grade purityand used as supplied by the manufacturers. The hydrogen-storage material is mischmetal-based, aluminium substi-

Ž .tuted penta nickelide MmNi Al which was synthe-4.5 0.5

sised by a ball-milling technique as described by Singh etw xal. 10 . The MmNi Al was exposed to hydrogen for4.5 0.5

24 h to form a metal hydride.Pellets of phosphotungstic acid andror aluminium sul-

fate and the composite cathode were prepared at a pressureof about 2=103 kg cmy2 . The diameter of the pellet was0.8 cm. Electrical conductivity studies were performed on

Fig. 1. Variation of conductivity with composition of xH PW O P3 12 40Ž . Ž .nH Oq 1y x Al SO P16H O composite electrolyte.2 2 4 3 2

Fig. 2. Variation of conductivity with composition of intercalation cath-Ž .ode xPbO q 1y x V O qCqE.2 2 5

the pellets by means of a Solartron Frequency ResponseAnalyser 1250 with an electrochemical interface 1286coupled to a HP computer. The frequency range was 65 Hzto 65 kHz. The measurements were performed on pelletsof different composition.

The integrated, solid-state, protonic battery was assem-bled by successively pressing the anode, electrolyte andthe cathode compositions in the same pelletising die. Atfirst, the desired anode was obtained by gently pellitizing

Ž . Žthe powders of A pure zinc or A ZnqZnSO P7H O,1 2 4 2. Ž3:1 wt. ratio or A ZnqZnSO P7H Oqmetal hydride3 4 2

. Ž .10:3:1 wt. ratio . The electrolyte powder, viz., SPC s1Ž .H PW O P nH O or SPC s H PW O P nH O q3 12 40 2 2 3 12 40 2

Ž . Ž .Al SO P16H O 1:1 wt. ratio , was poured onto the2 4 3 2

compacted anode in the die and the assembly was againpressed gently. Subsequently, the cathode mixtureŽ .Cqsolid electrolyte qV O qPbO was poured into2 5 2

the die and pressed gently. The entire assembly was finallycompacted at 3=103 kg cmy2 . The cell dimensions are:diameters0.76 cm; thicknesss0.50 cm.

Immediately after fabrication of the cell, the open-cir-Ž .cuit voltage OCV was measured by a high impedance

Ž .multimeter Philips PM 2718 . The cell was allowed to

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stabilise for 8 to 10 h after which its voltage becameŽ .constant. All studies OCV, charge–discharge reported in

this paper were performed on such cells. The cellimpedanceradmittance was measured by drawing com-plex-impedance plots in the frequency range 0.1 Hz to 65kHz.

3. Results and discussion

3.1. ConductiÕity of electrolyte and intercalating cathodeswith composition

Electrical conductivity studies were undertaken to deter-mine the optimum compositions of the electrolyte

Ž . Ž . ŽxH PW O PnH Oq 1yx Al SO P16H O where3 12 40 2 2 4 3 2.xswt.% ratio and the intercalating composite cathode.

The variation of conductivity of the electrolyte as a func-tion of composition is shown in Fig. 1. The conductivityincreases initially with increase in the amount of

Ž .Al SO P16H O admixed in phosphotungstic acid. It2 4 3 2

then attains a maximum and decreases. 50H PW O P3 12 40Ž .nH Oq50Al SO P16H O is found to be the best2 2 4 3 2

conducting ratio of the composite electrolyte. The mecha-nism of enhanced ionic conductivity in the composites or

w xdispersed phase systems is well documented 13 . Theconductivity is ionic with t )0.9, as measured by Wag-ion

w xner’s d.c. polarization method 14 .The variation of conductivity with composition of the

Ž .composite cathode PbO qV O qCqE is shown in2 2 5

Fig. 2. The optimized composite cathode is PbO qV O2 2 5Ž .80:20 wt.% and has good electronic conductivity whichis a requisite criterion for cathodes.

3.2. Discharge characteristics

The discharge characteristics of some typical cells atthree different loads are given in Fig. 3. When discharged

Ž .with low load resistance 50 kV and 10 kV , thevoltage–current curve exhibits a rapid initial fall and then

Ž .remains stable within 5% of the voltage after initial dropfor a few hours. Subsequently, it starts to decrease rapidly.The data in Tables 1 and 2 show how the cell performanceis affected by changing the electrolyte andror the anodecomposition. It is clear from Table 1 that with the same

Žanode composition Zn or ZnqZnSO P7H O or Znq4 2

w Ž .Fig. 3. Cell voltage and cell current vs. time plots for cell a1 ZnqZnSO P7H OrrH PW O PnH OqAl SO P16H OrrPbO qV O qCqE4 2 3 12 40 2 2 4 3 2 2 2 5Ž . w Ž .shown with open points and dashed lines – (( – and cell a2 ZnqZnSO P7H Oqmetal hydriderrH PW O PnH OqAl SO P4 2 3 12 40 2 2 4 3

Ž .16H OrrPbO qV O qCqE shown as filled points and full lines ___ Ø Ø Ø ___ at loads 10 kV, 50 kV, and 1 mV.2 2 2 5

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Table 1Ž .Open-circuit voltage OCV and current density in the stable performance region with 10 kV load, together with the duration of stable performance, for cells which illustrate the effect of changing the

Ž .electrolyte from H PW O PnH O to H PW O PnH OqAl SO P16H O composite3 12 40 2 3 12 40 2 2 4 3 2

Anode: Zn ZnqZnSO P7H O ZnqZnSO P7H Oqmetal hydride4 2 4 2

Electrolyte H PO 12PWO P 0.5H PO P12WO PnH Oq H PO 12PWO P 0.5H PO P12WO PnH Oq H PO 12PWO P 0.5H PO P12WO PnH Oq3 4 3 3 4 3 2 3 4 3 3 4 3 2 3 4 3 3 4 3 2Ž . Ž . Ž .nH 0 0.5Al SO P16H O nH O 0.5Al SO P16H O nH O 0.5Al SO P16H O2 2 4 3 2 2 2 4 3 2 2 2 4 3 2

Ž .OCV V 1.70 1.77 1.73 1.71 1.54 1.74Current density 230 250 240 220 210 205

y2Ž .mA cmTime for stable 2 20 4 24 6 28

Ž .performance h

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Table 2Ž Ž . .Performance of cells that highlights the effect of changing the anode composition for two different electrolytes H PW O PnH O and H PW O PnH OqAl SO P16H O composite3 12 40 2 3 12 40 2 2 4 3 2

Ž .Electrolyte H PO 12PWO PnH O 0.5H PO P12WO PnH Oq0.5Al SO P16H O3 4 3 2 3 4 3 2 2 4 3 2

Anode: Zn ZnqZnSO P ZnqZnSO P7H Oq Zn ZnqZnSO P ZnqZnSO P7H Oq4 4 2 4 4 2

7H O Metal hydride 7H O Metal hydride2 2

Ž .OCV V 1.70 1.73 1.54 1.77 1.71 1.77Current density 230 240 210 250 220 205

y2Ž .mA cmTime for stable 2 4 6 20 24 28

Ž .performance h

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. Ž .ZnSO P7H Oqmetal hydride , the addition of Al SO4 2 2 4 3

P16H O to H PW O PnH O electrolyte leads to an2 3 12 40 2

improvement in the duration of stable performance. Simi-larly, it may be noted from Table 2 that the time of stableperformance is less when pure Zn is used as the anode andH PW O PnH O as the electrolyte. The stability in-3 12 40 2

creases with the addition of ZnSO P7H O and increases4 2

further with the addition of metal hydride. A similar trendŽ .is noticed when H PW O PnH OqAl SO P16H O3 12 40 2 2 4 3 2

composite is used as the electrolyte. The anode composi-tion ZnqZnSO P7H Oqmetal hydride gives the best4 2

performance. The enhancement in the stable performancemay be due to the following.

Ž .i Better compatibility of electrolyte because at theŽ .interface Zn may react with Al SO P16H O to give2 4 3 2

ZnSO compatible with the bulk anode.4Ž . qii Copious supply of H available from the metal

hydride. We shall discuss some results later in which itwill be shown that the addition of metal hydride alsoimproves the rechargeability.

Another important observation which can be made fromthe discharge characteristics given in Fig. 3 is that theduration of stable performance is dependent upon the

Ž y2current drain. With a low current drain 2.5 mA cm at 1.MV load , the cell can perform for well over 300 h. This

time decreases, however, as the current drain increasesŽ y2viz., 60–70 h for 45 mA cm at 50 kV load; 24 to 28 h

y2 .for 200 to 220 mA cm at 10 kV load . At high currentŽ y2drains e.g., about 200 mA cm with 10 kV load in cell

.a2 , if the operating time is taken beyond 24 h to morethan 50 h then the cells are found to swell and, ultimately,the assembly pellets split. The swelling may be due to theentrapment of mobile protons in the electrolytes or in thelayers of the intercalating cathode. The volume of interca-lation compounds is known to increase on ion intercalationw x15 . Under deep-discharge conditions, the mobile interca-

Ž q .lating species H in this case can no more be accommo-dated in the intercalating layers. This leads to swelling andbuild up of pressure at the interface as well as in the bulk.The splitting behaviour of the cell is shown schematicallyin Fig. 4a. The swelling of cathode and electrolyte isvisible to the naked eye after ;75 h for a 10 kV load.The cell cracked or split after about 200 h. During theprocess of discharge, a change in the cell resistance isexpected. Complex-impedance plots for the initial and

Ž .sufficiently discharged cell ;150 h, swollen but not splitare given in Fig. 4b. As expected, the bulk resistanceincreases from 2.5=103 to 1.6=105

V and the elec-trode–electrolyte resistance increases from 3.6=103 to3.0=105

V.

Ž . Ž .Fig. 4. a Schematic representation of changes in the physical structure of the cell at different stages of discharge. b Complex-impedance plot of initialŽ . Ž .cell I and after sufficient discharge but before splitting of cell II .

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3.3. Rechargeability of cells

Typical rechargeability behaviour of cells a1 and a2 isgiven in Fig. 5. In order to perform this experiment, thevoltage–current characteristics of the cell were measuredwhile discharging through a 50-kV load for a time, t. Thedischarge experiment was terminated after the cell voltagedropped by 10%. The cell was then recharged by connect-ing it to a constant-current source. During charging, thesame amount of charge was supplied which was with-drawn during discharging. The time tX for which chargingis to be carried out can be calculated using the followingexpression:

i = tX s i = tcharging av . discharge

It is clear from Fig. 5a that the rechargeability can beattained without much loss of voltage or current. Thevoltages attained after different charge cycles are given in

Fig. 5b. Cells a1 and a2 can be recharged for ;20 and30 cycles, respectively. The superior rechargeability of cella2 is possibly due to the presence of metal hydride in itsanode compartment. This ensures the possibility of hydro-gen supply. Since the rechargeability behaviour is linkedclosely with the intercalation of Hq in the cathode, thename ‘Proton Battery’ has been given to our cell. It shouldalso be noted that the electrolyte used is a well-established

w x 2qproton conductor 16 and does not conduct ions like Zn ,etc. The intercalation of Hq in V O has been studied in2 5

w xdetail by Dickens et al. 17 and Chippendale and Dickensw x18 who gave the following intercalation reaction:

1rxV O qHqqeys1rxH V O2 5 x 2 5

w xIn 1987, Ritter 19 showed that since hydrogen is thesmallest ion it has a greater intercalation efficiency thanother ions. At room temperature, insertion of up to 3.8 Hq

ions has been reported in a-V O . An interesting experi-2 5

Ž . Ž .Fig. 5. a Cell voltage as a function of time during different charge–discharge cycles for cells a1 and a2. b Cell voltages after different ‘charge’ cyclesas a function of the number of charging cycles for cells a1 and a2.

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w xment has been reported by Schollhorn and Kuhlman 20 inwhich V O intercalation was examined in an aqueous2 5

q Žsolution of different salts. It was concluded that H and.not other larger cations are intercalated. In this experi-

ment, though medium-sized cations Naq, Ca2q, Zn2q

were present, they did not show any tendency to forminsertion compounds. From all this discussion, it can be

Ž q.summarized that mobile protons H from the electrolyteŽ .intercalate and de-intercalate in our cathode compartment

and play a dominant role in the rechargeability of thebattery.

4. Conclusions

A rechargeable proton battery can be fabricated usingan anode which supplies Hq ions, a proton conductor, andan intercalating cathode. A possible cell has the configura-tion: ZnqZnSO 7H OqMetal hydriderrH PW O P4 2 3 12 40

Ž .nH O q Al SO P 16H OrrPbO q V O q C q E.2 2 4 3 2 2 2 5

Addition of metal hydride in the anode and the use ofŽ .H PW O PnH OqAl SO P16H O composite in-3 12 40 2 2 4 3 2

stead of pure phosphotungstic acid have been shown toimprove the cell performance.

Acknowledgements

Thanks are due to the Ministry of Non-ConventionalEnergy Sources for providing the funding. KP and NL are

Ž .grateful to CSIR India for granting a Research Associate-ship and a SRF, respectively. Thanks are also due toProfessor O.N. Srivastava for providing the metal hydride.

References

w x1 C. Julien, G.A. Nazri, Solid State Batteries: Materials Design andOptimization, Kluwer Academic Publishers, London, 1994.

w x Ž .2 M.Z.A. Munshi Ed. , Handbook of Solid State Batteries and Capac-itors, World Scientific, Singapore, 1995.

w x3 S. Chandra, Superionic Solids—Principles and Applications, NorthHolland, Amsterdam, 1981.

w x Ž .4 Ph. Colomban Ed. , Proton Conductors: Solids Membranes andGels Materials and Devices, Cambridge Univ. Press, New York,1992.

w x Ž .5 S. Chandra, in: A.L. Laskar, S. Chandra Eds. , Superionic Solid andSolid Electrolytes—Recent Trends, Academic Press, New York,1989, p. 185.

w x Ž . Ž .6 C. Poinsignon, Mater. Sci. Eng. B 3 12 1989 37.w x7 J. Guitton, B. Dongui, R. Mosdale, M. Foresteir, in: W. Weppener,

Ž .H. Schulz Eds. , Solid State Ionics—87, North Holland, 1988, p.847.

w x Ž .8 H. Kahil, M. Foresteir, J. Guitton, in: J. Jenson Ed. , Solid StateŽ .Protonic Conductors III La Grande Motte France , Odense Univer-

sity Press, 1984, p. 84.w x9 S. Chandra in Ref. 2, p. 579.

w x10 A.Kr. Singh, A.K. Singh, O.N. Srivastava, Int. J. Hydrogen EnergyŽ .18 1993 567.

w x Ž .11 R.C.T. Slade, J. Barker, T.K. Halstead, Solid State Ionics 24 1987571.

w x Ž .12 S.A. Hashmi, D.K. Rai, S. Chandra, J. Mater. Sci. 27 1992 175.w x Ž .13 J. Maier, in: S. Chandra, A.L. Laskar Eds. , Superionic Solids and

Solid Electrolytes: Recent Trends, Academic Press, New York,1989, p. 137.

w x Ž .14 J.B. Wagner Jr., C. Wagner, J. Chem. Phys. 26 1957 1597.w x Ž .15 C.A.C. Sequeira, in: C.A.C. Sequeira, A. Hooper Eds. , Solid State

Batteries, Martinus Nijhoff Publishers, 1985, p. 241.w x16 K. Pandey, S. Chandra, to be communicated.w x17 P.G. Dickens, A.M. Chippindale, S.J. Hibble, Solid State Ionics 34

Ž .1989 79.w x Ž .18 A.M. Chippendale, P.G. Dickens, Solid State Ionics 23 1987 183.w x Ž .19 C. Ritter, Z. Phys. Chem. 151 1987 51.w x Ž .20 R. Schollhorn, R. Kuhlman, Mater. Res. Bull. 11 1976 83.