fndian Journal of Pure & Applied Physics Vol. 37. April 1999. pp. 294-301 dc Polarisation: An experimental tool in the study of ionic conductors Rakesh Chandra Agrawal So lid State lonics Research Laboratory. School of Studies in Physics, Pt Ravishankar Shukla University, Raipur 492 0 I Q Received 3 February 1999 dc Pol arization technique has long been in use as an important tool to look macroscopically at the transporting ions and to understand ion transport mechanism in number of sol id electrolyte systems. Wagner's dc polarization method is one of the most widely used technique to evaluate the extent of ionic/electronic contribution to the total conductivity in the ionic/mi xed conductors. Variety of new experiments based on dc polarization techniques have.been developed in the last - 2 decades. The present article deals with some simple but powerfu l dc polarization technique as well as a novel polari zation/self- depolarization method. recentl y developed in the present laboratory. to study persistent-polari zation/memory- type/electret-type phenomenon in some Ag+ ion conducting systems. 1 Introduction Fast ion cond ucting so lids, also termed as ' superionic so lids' or 'solid electrolytes ', are a specia l c lass of so lid state io nic materials w hich exh ibit exceptiona lly hi g h 1 I io nic conductivity (-10- _ 10-4 S.cm- ) comparable to the co nductivity of liquid/aq ueous electrolytes. These so lids show g reat promises in recent times to develop re li able and effi cient so lid state e lectroc hemical devices such as batteries, fuel ce ll s, se nsors, memory and elecl9 trochromic di splay devices, supercapacitors etc . . The mecha ni sm o f hi gh ionic conduction in these so lids is governed by number of ioni c transport parameters viz. ionic cond uctivity (a), mob il ity (~), mobile ion concentrati on (n), ionic tran sference number (lion) , ioni c drift ve loc ity (Vd) as we ll as the energ ies invo lved in varioLi s thermally activated processes. Hence, to understand fast ion conduction vis-a-vis to characterize th e ion transport ph eno menon in these solids, it is imperative to have quantitative information of these bas ic transport parameters. A wide variety of experimental techniques are 3 employed to determine these parameters . Some of the widely used techniques are: • Imp edance spectroscopy (IS) for a - m eas urements 10 ; • T rans ient ionic current (TIC) techn ique for ~ - meas. .lon 0 f n urements II . 12 . S ub seq uent Iy, determlnat from a a nd ~ data using the well- known general equation for conductivity : aCT) = neT) q~!(T) where a , ~ and n are temperature dependent parameters; • l3 Wagner' s method for li on - meas urement . Subseq uently, Vd can be determined from the data obtained in the above experiments . IS is basically an ac technique whi le TIC and Wagner's method s are essentially dc polarization method s. Since the pure ioni c/superionic solids obey the Ohm's law pretty well i.e. th e in stant initial tota l c urrent (fT) varies directl y as a function of the dc potential (II) applied across th e s pec imen when V is ke pt be low the deco mpos ition potentia l of the sample material. Hence, de po larization method can be considered to be o ne of the app ro priate technique to determine some bas ic io ni c parameters which in turn would he lp us to ex plain th e ion tra ns port be haviour in these so lids . As the present paper is aimed at to deal with dc polarizat io n studies, we would , therefore, co nfine ourse lves to this technique only. In the subsequent section various experimental methods, based on dc polarization, have been dealt with including Wagner 's and TIC techniques along with the results obtained earlier from these studies on some Ag + ion conductin g systems. A novel polarizatio n/self-depol4 larizati o n technique , recently developed in o Lir laboratory to study persistent polarization/ e lectret-type phenom enon in so me Ag+ io n conducting sol ids, has also been incorporated in this sect io n. Apal1 from TIC technique, other method suggested for the estimat ion of 295 AGRA W AL: de POLARISATION I5 • nand)l are: homovalent doping method for glasses - ' 7, 20 21 field assisted diffusion method '8 ,'9, Hall effect . (for details, please refer to the original papers). 2 dc Polarization Technique The use of dc potential as an experimental tool can be thought to have initiated just after f araday proposed his laws of electrolysis. It was employed mainly for the purpose of electrolysis of electrolyte solutions. However, in the present times, many modem industries extensively employ dc potential for electroplating various kinds of metal s. Blocking electro '- Non-block In9 eltetrod. r-----=(+..::):tI lottlry (_ ) som~le R Key (0) -----------------------1-1~ ~on= "':T'" IT ~ \ (b) lion ... :::J 2.1 Review of earlier experimental results Ionic transference number and drift velocity measurements - The tran sference number g ives a quantitative information of the extent of ionic and electronic (electrons and holes) contribution to the total conducti vity (crT)' Since, crT = crion + cre.h, the ionicl electronic transference number can be defin ed as : tion = crion I crT = lion IIr le.h = cre.h IcrT = le.h Ih where crion Icre.h and l ion Il e.h are the conductiv ity and current contributions du e to ions/(e lectrons/ho les) respective ly. The tota l current is expressed by the usua l equati on: Ir = n qVd A , w here q is the charge on the ion and A is the area of c ross-secti on. T he ion ic tran sference number can be determin ed acc urate ly eith er by Tubandt method or by Wagner' s meth od . The ioni c drift ve loc ity can be evaluated usi ng Ir and n data obta ined from Wagner's ' current versus ti me ' pl ot a nd T IC technique respective ly. Tubandt 's melhod - Proba bl y, T ubandt 22 for the first time used dc po lari zati on method as a too l to dete rmine io ni c tra ns fe re nce numb e r (tion) in io ni c so lid s . T ubandt ' s method was prin c ipa ll y based on Faraday ' s laws of e lectro lys is. When a dc pote ntia l appears across an ioni c so lid sandw iched between two e lectrodes, th e mobile pos itive and negati ve ions move towards the electrodes of oppos ite po lariti es. If the e lectrodes a re such that the io ns woul d d isso lve into the m, then the mass o f the electrodes w ill increase. T he measurements of change in mass of the e lectrodes as we ll as tota l amount of ch arge passed through the e lectro lyte of a coulometer, connected in the externa l c ircuit, he lp us to determ in e ionic transfere nce numbe r. An exce ll ent descri ption of the Tuban dt ' s techniq ue appeared in the literature 3.23 . Improving the des ign of hi s original ce ll, Tubandt carried out tion-measuremellts on a-Agl . A dc potential was applied across three cylindrical pellets of U Tlml' Fig. I - (a) Schemati c experimental circuit fo r lion - measurement by Wagner' s meth od ; (b) typi cal current versus time plot AgI packed together in between Ag and Pt-metal electrodes. A g + ions, the only mobile ions in Agl, move fro m Ag-anode toward s Pt- cath ode . He fo und that the weight lost by th e Ag-anode was equi va lent to th e weight ga ined by Pt-e lectrode and Ag l cy linder attached to it. Thi s was in tum equivalent to the tota l am ount of charge passed through the coulom eter. Hence, IAg+ = '1 which was indi cati ve of the fact th at AgT ions are the sole 24 charge carri e rs in a-Agl. Ta kahashi el al. modified the T ubandt ' s geo metry a littl e and ca rri ed out tion - measurements in num ber o f fa st Ag + ion conducting syste ms. Wagner 's method - This is a most co nvenient and w id ely used meth od suggested by W agner and Wagner in 1957' 3 to measure ionic/electro ni c transference num be r in number of so lid electrol yte syste ms. The tec hnique g ives very re liable results particularl y in case of Ag + ion conducting so lids. Hence, th e present d isc uss ion is limited to study Ag+ ion conductin g systems on ly. Howeve r, it should be menti oned here that thi s tec hnique is exten sive ly e mpl oyed, in general , to study oth er so li d e lectro lyte systems a lso . T he experimental arrangement for th e determ in ation of tion in a Ag + ion cond uctin g system is sc hem aticall y shown in Fi g. I (a). A cy lin drical pe ll et of the sam p le is sandw iched between blocki ng (graph ite) and )1 on- bl oc ki ng (si lver) electrodes . A constant dc potenti al (V - 0.5 V) is appl ied across the samp le w ith the po lari ty shown and the current in the c ircuit is monitored as a function oftime with the help of an x-y-t recorder. A typical ' current versus 296 INDIAN J PURE & APPL PHYS, VOL 37, APRIL 1999 -1 ~----.-.---------------~ « -phase I .t--- Transition renion ... I : , ~-i- -2 ,I, 0(- Rl9ion " I' Il -ptBse - --r-- --I- I I ~' 20 - lr {2I00C) 2 2.5 3 3.5 1oo0lT [K') 6 It .... IT CC)9·C) 10 1,.<12S-c) IT - TOTAL CURRENT Ir (152·C) Ir(187·C) Fig. 3 - 2 ITC60·C) 0.6 0 IT (27"C) Fig. 2 - 2 4 6 8 10 (h) Current versu s time plot for Agl time ' plot is shown in Fig. I (b). Silver ion conducting systems are generally pure ionic systems with Ag+ ions as sole charge carriers. For such a system the total current h approaches zero as a result of complete desoJution of Ag + ions in Ag-anode. Since, h ~ lion ; li on = I. However, if the so lid is a mixed Ag+ ionic/electronic system, the total current h levels off at some non-zero value, as shown. T he final residual current (Ie.h) is due to the moving electrons/holes in the system . Hence, lion and te.h can be known separately with the help of the ratios: lion / hand le.l,lh respectively. The current versus time plot of Wagner's dc polarization method can also be employed to estimate the drift ve locity (Vd) of mobile ions in a pure ionic solid, as discussed above. This novel approach was used for the first time by the present group to determine Vd in number of Ag+ ion conducting systems 25 viz . AgJ 26 .27 ; a quenched [0.7SAgl:0 .2SAgCI] mixed-system/solid- so. 2829 . d at our Ia boratory as an alternate ' ·Il1vestlgate IutlOn host in place of AgJ; glass systems: 0.7 [0.75AgI:0.25AgCI]: 0.3[Ag 20 :B 20 3] and 0 . 75 rO.75AgJ 0.25AgCI]: 0.25[Ag20:Cr03]30J I and com posite systems: 0 .7[0 .75 Ag1:0.25AgC I] :0 .3 A b03, O. 8[0 . 75Agl: 0.25AgCI]: 0 .2Sn02 and 0 . 9 [0.75Agl:0 .25AgCI]: 0 . 1Si0 2 32-34. A representative temperature dependent current versus time plots for (3 and a phases of AgJ (Region-I and Region-II respectively) is shown in Fig. 2 . The temperature dependence of current versus time plots for all other systems were Log Vd versus l i T Arrheniu s plot fo r Ag l identical and exhibited following significant features in common: I. The initial current (h) approached to zero with time at all temperatures of our measurements . This was indicative of the fact that all the system s remain purely ionic with Ag + ions as sole charge carriers and hence, l ion ~ I in the entire range of temperature. 2. The polarizing time (i.e. time in which h ~ 0) increased as the sample temperature increased . This is expected, as at higher temperatures the mobile ions are thermally more agitated , hence , wo uld require lo nger time to get polarized at a fixed va lu e of applied dc potential as compared to the time required at lo wer temperatures . 3 . The magnitude of initial total current (h,) al so increased with increasing temperature s. The increase in I h I may either due to the increase in nor Vd. If n can be measured independ e ntly, Vd can be eva lu ated at various temperatures with the help of h -data obtai ned from the above stud ies (in fact, n has been determ in ed independently with the hel p of (J and /1 data, as discussed below). A representative log Vd versus I/T plot for Ag l is shown in Fig. 3 . Sim i lar pl ots were drawn for other systems and the energy (Ed), involved in the thermally activated process, was computed from the s lope of the straight Iine for all the syste ms2 5 -3 ~ . It ha s been verified that Ohm ' s law obeyed we ll during these measurements. Since, Vd is directly proportional to /1 at a fixed value of applied dc fie ld E (i.e. Vd = /1E) . hence, log Vd versus liT and log ~l versus I /T va riations must be analogous and the energies Ed and E111 involved in these two thermally activated processes respecti vely wou ld be identical. The validity of Vd measurements on all the above system s were cross-checked by direct determination o f ~l using TIC technique , as discu ssed below. 297 AGRA WAL: de POLARISATION Ionic mobility and mobile ion concentration measurements - Transient Ionic Current (TIC) technique: TIC technique, originally suggested by Watanabe et a/. II 12 and Chandra et a/. , was used for direct detennination of 'ionic mobility (11). This is also a dc polarization method, like Wagner's method, except for both the electrodes being blocking. The sample is first polarized by applying a constant dc potential across the thickness of sample pellet for sufficient long time to ensure that a state of complete polarization has been attained. At this state, the mobile ions are polarized and remain blocked at the respective bulk/electrode interfaces. The polarity of the applied potential is then reversed, simultaneously, the current in the circuit is monitored with time. The instant the polarity is reversed, the polarized ion clouds start travelling in the bulk towards electrodes of opposite polarity. This results in a flow of current through an external circuit. The moment the ion cloud arrives the other end of the pellet, a peak occurs in the current versus time plot, and then the current drops sharply. Fig. 4 shows TIC plot for a typical system in which only one type of ionic species are mobile. The inset shows the basic experimental arrangement. I f more than one ion ic species are mobile in the system, number of peaks would appear in TIGplot when suitable blocking electrodes are used. Each individual peak would correspond to one type ofmobile ionic species. The position of the peak on the time axis directly measures the time offlight"t of the mobile ion species to cross the thickness d of the sample pellet. Hence, the ionic mobility 11 can be determined with the help of equation : 11 = if / V "t, where V is the applied fixed dc potential. Using the Il-data obtained above and a-values from conductivity measurements, mobile ion concentration n can be evaluated conveniently for the systems with one type of mobile ionic species. The temperature dependent measurements of 11 and n can also be carried out by placing the specimen in a furnace. The energies (Em and Ef) involved in the thermally activated processes can be computed from the slopes oflog 11 versus I/ Tand log n versus I /T Arrheniu s plots respectively. These measurements were carried out 25 on the above mentioned Ag+ ion conducting system s 34 . On th e basis of the experimental resu Its, the phenomenon contro ll ing the basic ion transport mechani sm in these sol id electro lyte systems can be 'easi Iy und erstood. Detailed discussion on the mechanism of ion transport in these Ag t- ion conductin g solids appeared elsewhere in the literature 26.34 . River, kty - 2 Furno!' , c Sample ~ .a... ...c ~ lOO.n. ....... I I I :) U \ \ ,, < 0 0 10 20 30 60 90 120 150 Tlmt' (,) Fig. 4 - Typical TIC plot for !-I-measurement. Inset: the basic experimental circuit Miscellaneous dc polarization experiments - Various miscellaneous experiments, based on dc polarization, have recently been suggested by a number of 35 workers. Yoo and coworkers designed an experiment based on the polarization in an ion-blocking electrode condition and determined ionic-charge-of-transport (a*) and chemical diffusivity (D) in mixed conductors. 36 Preis and Sitte have recently given an excellent theoretical treatment for the polarization process occurring in mixed ionic/electronic conductors. Assuming the polarization as a chemical diffusion-induced phenomenon , they developed experimental model based on Weppner 37 and Huggins asymmetric electrochemical cell configuration and determined chemical diffusion coefficient in mixed conductors with comparable ionic and electronic conductivities by means of galvanostatic po38 larization experiments . Mizusaki has recentl y suggested a novel and improved experimental technique to study the bulk and interfacial properties of sol id electrolyte systems. His technique was based on Hebb- Wag39 ner ' s ion blocking method by dc polarization field using the cell configuration : (- )Agi AgX (X = C I, Br, I) IC or Pt(+). It was shown that the complete ion- bloc kin g can be realized when the chemical equilibrium is attained not onl y at the Agl Ag X interface but at AgX IC interface al so. 2.2 Polarization/self-depolarization and persistentpolarization/electret··type effects in some Ag + ion conductors Another novel id ea, based o n dc po lari zat ion method, has recentl y bee n deve loped in our Laboratory to study po larizati on/self-depo larization phenomenon in some A g~ ion conducting systems . The polarization procedure 298 INDIAN J PURE & APPL PHYS, VOL 37, APRIL 1999 was exactly similar to TIC technique discussed above. The polarization/accumulation of mobile Ag + ions at negative polarity end of the bulk specimen results in a potential difference across the sample pellet which can be measured experimentally 'on the removal of the external dc potential. The magnitude of the potential difference, obtained at the instant the external dc potential is removed, corresponds to a peak value and can be referred to as instant peak potential (Vp). Vp decays rapidly due to redistribution/self-diffusion (chemical diffusion) of accumulated ions throughoutthe bulk. This process has been termed as a self-depolarization phenomenon. In order to explore the time exactly required by the specimen to attain the state of complete polarization, the external polarizing dc potential was applied for different durations and Vp-values were measured. Fig. 5 shows instant peak potential Vp-values measured at room temperature on pellets of different thicknesses of AgI, [0.75AgJ: 0.25AgCI] and a superionic borate glass system : 0.7[0.75AgJ:0.25AgCI]: 0.3 [Ag20:B 20 3]. The abscissa corresponds to the time (I) for which the samples were initially polarized. One can note from tlie figure that Vp increases initially as the polarizing time increases then attains a saturation value afterwards. This corresponds to the state of complete polarization and gives an information about the minimum time needed for the above Ag + ion conducting systems to attain the state of complete polarization . One can also note that the magnitude of Vp increases with the thickness of the samples. This may be due to the reason that in thicker specimen, number of mobile Ag+ ions are expected to be more which in turn get polarized and give rise to larger Vp-va lues as compared to that for the thinner sample. This is a qualitative and not a quantitative statement. The experimental results in Fig. 5 clearl y indicate the fact that the magn itude of Vp at the state of complete polarization gives a qualitative information regarding the number of mobile Ag~ ions available in the system at a particular temperature. We carried out temperature dependent Vp- measurements . The assertion drawn from the above study regarding Vp-values giving infonnation about the mobile ion concentration n is further supported when we compared Vp versus temperature plots with the plots of temperature variatio n of n for these systems obtained earlier in the independent studies26.28.10. Fig. 6 shows log Vp versus I/ T plot for: Agi (thickness -0.205 cmt, [0.75Agl : O.25AgCI] (t hi c k n e s s -0 .2 c m) and sup e rio n i c g Iass : 0.7[0. 75AgI:0.25AgCI] :0.3 [Ag 20:B 20 1] (t hi c k n e s s &Xl ... - _. ..- . _ ....... - --..--.---.--.- -...... - Thickness I ~O.2C6cm -O.2fficm O.~ ~ =--=-=. > £.:m Co > I / ~ I (i-ti 200 !: ::;;, = = !! ] "' ~ (a) Temperature -2'fC i 100 L - -- ----- - - - -. - -_.--- _._-- - - - - - - - -- - 1! 0.2 em I i Thickness 1~ 0.135 cm - 0.167 cm i .~ VSOi( > £..m wi no ... i r== .J "If ~. ~ Ig.like ohase at .....: =/ .'!/~= 1iiii Co > ~. -2f:ftc l ~I .. _ 7 _ . '_ " _ __ _ . .. . . . - . _ ~-.. _ _ . - -__ ~. ThiCk'ness l ~ 0.155cm ~ :m ~ I 1 (b) ~ _ ~ ~ ohase at -2'fC i/ 4 1 . ~ ____ ~ .~..... r ... .,.......",...~ =0. 215cml~ ". ~~~-----------------------~ ~ I Co >200 Temperature 2'fC Fig. 5 - I 'p (c) versus polarizing lime plols for : (a) Ag J: (b) [0.75A gJ:0.2 SAgC I) : (e) 0.7[0 .75A g J:0.25AgC I) 0.31Ag20B201J -0 .15 5 cm). Log n versus l i T Arrheni us plots for these systems are reproduced in Fig. 6 for direct comparison. One can obviously visua lize that Vp and n vary almost analogously with temperature for all the systems . We note an abrupt increase in Vp-values for AgI and the new host [0.75AgI :0.25AgCI] , after f3 --+ a transition temperature. The abrupt increase in Vp after the phase tran sition further justifies our other assertion we made earlier26 .28 , regarding the superionic conduction of a AgI or a -like phase of new host, as due to an abrupt increase in the mobile ion concentration (n). 299 AGRA W AL: de POLARISATION 3 >' .5. '-\l-~--:-'-.'---Tra-ns-it- i-o-n-reg-io-n-(-a)----,j : 2.8 ~.... 13 iNse 1 _........... ~ ~2.6 300 2ID 18:;, 16]' ! 2.4 ~ I_ 1~ 50 14.Jo • L c .4aJ .i ' iAt instant I CooUng cycle . .::. Healing cycle iI ~ =r··· :1 ~~~"----,,---,-_.~~.~_;~,~~~~a--,) -~ 2.9 ... ----",.--,: - - - -- ' ~ Transition region . , ~ 2.8 ~ 2.6 !r 2.4 ..J 2.2 - - - - -- •• - •• •.•.. • ,. - .... -" .• - , ~ . ~ - ... ~ - . - - I I I After 8 h 13 -like phase 3 .---- -- (a) ~ - L.. ---, 24 r 400 12 3.5 L.....__'_~~_'__'~~~...........~__'_~ 2,0 2.5 3.0 1000lT [K"'l Fig. 6 - Log Vp versus IIT and log n versus IIT plots for : (a) AgI; (b) [O.75AgI:O .25AgCI];(e) O.7[O.7SAgI :O.2SAgCI] : O.3[Ag20:B203] r------.-.. -.-..-.'-... ~---.-. P= 'A=fte=r''''' i =h'''1 ''' u :;,:m !.200 (b) i Q. > 100 o ~~~~~~~~~~~~~~~ 3lJ 200 100 In addition to the above novel information, a phenomenon of persistent-polarization/electret-type effects I4 were also observed in AgI and the new host [0.75AgI:0.25AgCI] during self-depolarization cycle. This is probably another remarkable feature exhibited by mobile Ag + ions of the system . These effects correspond to electret-type behaviour commonly observed in several dielectric materials such as polymers, divalent 40 impurity doped ionic salts viz. KCI , Kl, AgCI etc. Kumar and Chandra 41 have reported electret-type effects in solid electrolyte mixture : RbAg4I5 + KEr, which they referred to as ionic polarates. Electret-type effect, in fact, refers to a phenomenon in which the polarization state persists for a long time after the dc polarizing potential across the sample is removed. For details, ~ .. I I'Iterature 42 .43 . relerences may be rna de to the onglOa The electret-type effects become more predominant or the polarizati~n states persist for longer duration in 'thermally stimulated polarized ' samples i.e. samples polarized at higher temperature. We studied this effect in thermally stimulate polarized Agl (thickness -0 .205 o ~~~~~~~~~~~~~~~ 2 2.5 3 3.5 1000/T (1<"1) Fig. 7 - Vp ve rsus l i T plots showing persistent-polari zalion in: (a) Ag\; (b & c) [O.7S AgI:O.2S AgC I] 300 INDIAN J PURE & APPL PHYS, VOL 37, APRIL 1999 cm) and [O.75Agl:0.25AgCI] (thickness -0.2 cm). The samples were poll;lrized by an external dc potential (-0.5 V) for 10 min at 200°C (i.e. well above (3 ~ a transition temperatures, -147°C for Agl and -135°C for [O.75Agl :0.25AgCI]), then the external dc potential was removed. The potential difference developed across the sample was measured during different thermal heating/ coo ling cycles in the time span ranging from I to many hours. Fig. 7 shows the 'peak potential versus temperature' plots fo r these systems. The upper plot in both Figs 7a & 7b gives the variation of potential immediately after the removal of the field at 200°C and cooling the sample to room temperature (1st cooling cycle), then heating the sample back to 200°C (1 st heating cycle). A hysteresis type behaviour was observed in both the cases. Hysteresis generally corresponds to some kind of energy loss in the systems . The other plots correspond to the variation of potential difference in subsequent heaJingicooling cycles of the same samples which were left open at room temperature for several hours. It can be obviously noted that, although, the magnitude of potential decreased with time, but, the polarization states persisted for very long time . The potential difference measured at higher temperatures may be thought to be due to the existence of temperature gradient between upper and lower electrodes i.e. a typical thermoemf measurement in the usual thermoelectric power studies on ionic/superionic systems . However;this was overruled after performing the same measurement on an unpola rized Agf sample . This is obvious from the bottom-m ost plot in Fig. 7(a) which shows that the potential difference remains close to zero at all temperatures. The persistence or retention of polarization field substantial ly improved in the samples cooled to room temperature from 200°C with polarizatic n field on . This can be obviously seen in Fig. 7(c) showing the similar plots during various heating / cooling cycles for [0. 75Agl:0.25AgCI] sample cooled from 200°C to room temperature with polarizing field on and then the field was removed. The polarization state in this sample persisted for more than 350 hrs. In the dielectric electret material s this kind of polarization-state-retention have been reported due to homo-charge formati on and deca/ 2,4 3 . The similar reasons may probably be assigned to above ionic systems also . However, an extensive investigation is needed to explain such phenomenon in ionic solid:;. Nevertheless, to give an approximate explanation, one can think of a memory-type-effect for mobile Ag + ions of the above systems polarized in the high conducting phase and make a vague statement as : it seems as if 'the mobile Ag + ions have retained the memory of their polarization state at a particular temperature and the memory died out slowly with time '. 3 Conclusion On the basis of various experimental results discussed, it can be concluded that the dc polarization technique can certainly be employed as an important tool to study ion transport (macroscopic properties) in several ionic/superionic and mixed ionic/electronic systems. What is actuall y required is ; an ingenious designing and development of new experiments. The dc technique is widely used in many Solid State fonics Research Laboratories, including the present LaboratorY" to measure ionic/electronic trans ference number, ionic mobility and ionic drift velocity etc . Based on this technique, another novel method has recentl y been developed, to study the polarization/se lf- depolarization phenomenon and persistent-polarization effect in some Ag+ ion conducting solids. The results have been di scussed with reference to electret-type effects, commonly observed in dielectric material s. Acknowledgment The author gratefully acknowledges the financial support provided by the MPCOST, Bhopal, through project No . P-86/92 cit. 16/12/94. References I Fast ion transp ort in solids. Ed W va n Gool. (No rt h Holland. Amsterdam), 1973. 2 SuperionicconduclOrs , Eds G D Mahan & W L Roth (P lenum Press. New yark). 1976. 3 Chandra S. Sliperionic solids- principles and applications. (North Holland . 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