7
JOURN A L O F RESEA RCH of th e N a tio nal Bur eau of St anda rds - A. Physi cs an d Chemi st ry Vo l. BOA, No.3, Ma y--J une 1976 Some Methods of Luminescence Efficiency Measurements * Alfred Bril and A. Willy de Jager-Veenis Philips Research Laboratories , Eindhoven, The Netherlands (April 9, 1976) Methods of abso lute and relative radia nl and qua ntum e ffi ciency meas ur eme nt s are d escr ibed fo r ul trav iolet, visible, ca thode-ray, and x·ray exc itations. Data on so me standard lumin esce nt mate ri a ls are gjven. Key wo rd s: Ca thode·r ay exc it ation; lum inesce/lce; lumin esce nce stan da rds; ph osp hors; qu a ntum e fficie ncies; radia nt efficiencies; UV exc it a ti on; ray exc it ation. 1. Introduction Me thods of abso lut e radia nt and qu a ntum e ffi ciency meas ur ements are giv en together with me th ods of rela ti ve e ffi ciency meas ur eme nt s. Th e methods are es pec ia ll y s uit ab le for powder mate ri als fo r whi c h th e angular distribution of the emitted lumin esce nt ra di a- ti on is Lambertian. Th e re la ti ve meas urements are performed with the aid of standard phosphor s, wh ose e ffi ciencies have pr eviously bee n determin ed by abso lut e meas ur ements. Me th ods are giv en fo r exc ita ti on of the phos ph ors by ultr aviolet and visible radiation, ca th ode ra ys and x rays. For s ampl es with no n- La mbertian e mi ss io n di stri- buti ons, a method is d esc ribed in which an Ulbricht 's s ph ere or an ellipti ca l mirr or is use d. 2. Ultraviolet Excitation All powder pho sp hors are meas ured us in g a thi c k la yer (thickn ess ab out 2 mm) at the irr adiated side. Th e det ec tion tak es place perpendicular to th e plane of th e ph os phor , the excita ti on is at an angle of 50° with that plane (see fi g. 1). Th e excita ti on wavelength (A exc) or reg ions are isolated from a hi gh pr ess ur e merc ur y la mp by inte rference filt e r s, th e arc being foc u se d on the ph osphor with a qua rt z le ns. In this way a hi gh exc itation de nsity is r eac hed, but gen erally well below the exc it a ti on r egion where s atur ation e ffec ts start. Thi s is es pec ia ll y adva nt ageo us when a rela ti vely in se ns iti ve th e rm oeleme nt is use d as a det ec tor. * P aper prese nt ed at the Workshup Sem in a r 'Slandard izat ion in Spec t rophutometry and Lumin esce lwe Meas ure rn enls' held at the Nat iona l Burea u uf Standards. Gaithersbu rg , Md .. November 1 9-20. 1975. Quartz lens c::::=r==.::r- Mirr or M I I <D Thermopile Chopper filters '----_::="'-,,---' F IGURE 1. Sc h. emati c diagram of th e apparat us for the efficiency Ineasur efne nt s. Th e radiant e ffi ciencies, from which th e quantum e ffi ciencies ar e c alculated , are dete rmin ed dir ec tly (when th e spe ctral power distribution is known ). 2.1. Relative Measurements , Giving Absolute Efficiency Values Ph os phor s ca n be meas ur ed with r es pec t to the following s tandard sa mpl es wh ose e ffi cien cy is ge n- erally agr ee d up on. (a) Th e sta nda rds iss ued by th e Na ti onal Burea u of Sta nda rd s, W as hington, D.C. (See re f. [1 - 4] ). (b) So dium sa li cy late (See re f. [5] ). Th is phosphor is also suitable for exc itation 401

Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

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Page 1: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

JOURNAL O F RESEA RCH of th e N a tional Bureau of Standa rds - A. Physics and Chemistry Vol. BOA, No.3, May--J une 1976

Some Methods of Luminescence Efficiency Measurements *

Alfred Bril and A. Willy de Jager-Veenis

Philips Research Laboratories, Eindhoven, The Netherlands

(April 9 , 1976)

Me th ods of abso lute and re lati ve radi a nl a nd q uantum effi c ie ncy measure ments a re described fo r ultrav iole t , vis ible , ca thode- ray, a nd x·ray exc ita tions. Da ta on so me s ta nda rd lumin esce nt ma te ri a ls are gjven.

Key words: Ca thode· ray exc itation; luminesce/lce; luminescence standa rds; phosphors; quantum efficie ncies; radi ant efficie nc ies; UV exc it a ti on; ,· ray exc it a tion.

1 . Introduction

Methods of absolute radiant and quantum effi cie ncy meas ure me nts are given togethe r with methods of relati ve e ffi c ie ncy meas ure ments. Th e me th ods are es pecia ll y suit ab le fo r powder materi als fo r whic h th e a ngular di s tributi on of the e mitted luminescent radi a­tion is La mberti an.

The re la ti ve meas ure me nts a re perfo rmed with th e aid of s tanda rd phos phors, whose effi ciencies have previously been dete rmin ed by absolute measure me nts. Methods are give n fo r excita tion of the phosphors by ultraviole t and vis ible radiation, cathode rays and x rays.

For samples with non-La mberti a n e miss ion di stri­butions, a me thod is described in whic h an Ulbricht 's s phere or an elliptical mirror is used.

2 . Ultraviolet Excitation

All powder phosphors are meas ured us ing a thi c k layer (thi ckness about 2 mm) at the irradi ated side. The detection takes place pe rpendic ular to the plane of the phosphor, t he excitation is at an a ngle of 50° with th at plan e (see fi g. 1). The excita tion wavele ngth ( Aexc) or regions a re iso la ted from a high pressure merc ury lamp by interfe re nce filt ers, the arc being focused on the phos phor with a quartz le ns. In thi s way a hi gh excita tion de nsity is reached , but generally well below th e excitation region where saturation e ffects s ta rt. This is es peciall y advantageo us when a rela ti vely in se ns iti ve th ermoele me nt is used as a detector.

* P aper prese nt ed at the W orks hup Sem ina r 'Slandard izat ion in S pec trophutometry and Lu minesce lwe Measure rn e nl s' held a t the Nat iona l Bureau uf Standards. Gaithersbu rg , Md .. November 19-20. 1975.

Quartz lens

c::::=r==.::r- Mirror M I I

<D Thermopile

1~~~~:' Chopper ~ filters

'----_::="'-,,---'

F IGURE 1. Sch.ematic diagram of the apparatus for the efficiency Ineasur efnents.

The radiant e fficiencies, from which the quantum e fficiencies are calculated, are de termined directly (when the spectral power distribution is known).

2 .1. Relative Measurements, Giving Absolute Efficiency Values

Phosphors can be measured with res pec t to the following standard samples whose e ffi cie ncy is gen­erally agreed upon.

(a) The standards iss ued by the National Bureau of S ta ndards, W as hington, D.C. (See ref. [1 - 4] ).

(b) Sodium salicy la te (See ref. [5] ). Th is phosphor is also suit able for exc itation

401

Page 2: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

in the far ultraviolet (vacuum ultraviolet) because of its constant efficiency as a function of Aexc up to 350 nm.

(c) The standard "Ekta S10"1 proposed by Grum [6].

(d) "Lumogen T red GG," which can be used in the excitation region between 190 and 550 nm [7].

2.2. Absolute Measurements

The absolute radiant efficiency can in fact be determined with the aid of a relative measurement, being the ratio of the amount of emitted power and that of the absorbed exciting power [IV For one or two wavelengths the absolute efficiencies can be deter­mined. For other Aexc the relative excitation spectrum can be determined from which the absolute efficiency at any Aexc can be derived. .

Forthis determination three quantities are measured:

(a) The diffuse reflection of the exciting radiation against BaS04 for which the reflection is known.

(b) The luminescence + reflection of the exciting radiation (without using a filter).

(c) The luminescence of the phosphor, using a filter between phosphor and detector that passes only the luminescence.

From these three measured quantities the reflection and radiant efficiency of the phosphor can be determined.

The expressions found for the radiant efficiency YJ p

and the reflection rp are given here for the case of using as a detector a thermopile or thermoelement with flat radiant response. Three emfs are measured, viz, VII due to the reflection standard (e.g., BaS04 [8], reflection R) , VI' due to the phosphor (luminescence intensity L + reflected exciting radiation of intensity l) and Vp , v due to the phosphor when a filter F absorb­ing the exciting radiation is placed in front of the detector. We assume that the filter has a transmission T in the emission region of the phosphor. This leads to the following equations:

CVII=IR CVI'= /rp +L

CVp,v= TL

where C is a constant. After solving for fp and L we find

L R VI'V TJp= = - '-

I(l-rp) T(I-fp) VII

I In order to desc ribe mate rial s a nd experimental procedures adequately, it is occasionally necessary to identify commercial products by manufacturer's name or labeL In no instance does s uch identifi cation impl y endorsement by the Nationa l Bureau of Standard s. nor does it imply that the particular produc t or equipment is necessaril y the best available for that purpose.

2 Figures in bracket s indicate the literature references at the e nd of this paper.

As a cross-check the reflection found in this way can be compared with that measured directly with a spectrophotometer.

The method described can be used in the same way for the case of a varying spectral response of the de­tector and/or a varying spectral transmission of the filter, even when the filter transmits partly in the region of the exciting radiation. Of course the equations become somewhat more complicated in this case.

The quantum efficiency qp is found from the radiant efficiency by

J A /) (A) d A

qp = YJP f " exc p(A)dA

where P (A) is the emitted luminescent power and Aexc is the exciting wavelength.

The NBS standards mentioned in 2.1 are not excited in the visible (only No. 1030 would be suitable in the blue-violet) region. Therefore. other standards are necessary in the visible region. These can be found among the "lumogen" phosphors. A yellow luminescent lumogen was described by Kristianpoller and Dutton [9], yellow and red ones by Vavilov [10] . Morgenshtern, Neustruev and Epshtein [11] and Kuttner, Selzle and Schlag [12]. The latter used 5-(p-dimethylaminoben­zyliden)-barbituric acid as a red lumogen; they found a quantum efficiency of 45 percent at Aexc = 405 nm.

We chose the red luminescent" Lumogen T red GG" which was already mentioned in section 2.1. It is commercially available from the Badische Anilin und Soda Fabrik (Ludwigshafen. Germany). The

. properties of the phosphor are described in reference [7], It has a red luminescence and shows a quan­'tum efficiency which is not quite constant but varies in a limited range between 40 percent and 60 percent in the spectral region between 220 nm and 550 nm (see fig. 2).

,---------------------------------~._--_,100

FIGURE 2, "Lumogen T red GG"

Q = quantum e fficiency. R = diffuse r e fl ection and E = s pectral power di stribution.

R (%)

t

The spectral power distributions at room temperature and liquid nitrogen temperature are given in figures 3 and 4. The temperature dependence curve is given in figure 5 for Aexc = 365 nm. The quantum efficiency

402

Page 3: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

together with the diffuse spectral re fl ection are given in figure 2. An important advantage of this phosphor over liquid standards like rhodamine B is that the absorption is high in the whole region , the lowest value being 78 percent near A = 380 nm (diffuse re­flection = 22 perce nt).

mc.----------.-----.,----.-----,7>---,-----,--, I

t 50 -

~Up.ectr. kJwer distr. bJHugen T Red G G

Room temp-:

FIGU RE 3. Spect ral power distribu.tion oj " Llimogen T red CC" at room temperaWre.

I denotes the speci ral radiant power in arbitrary unit s.

l00r-----.-----.-----.------.----~----_.----_,--~

I

t 50

Rei. S{Jf;S;.tr. power distr. Lumogen T Red GG

Temp. . 77 K

FIGU RE 4. Spectral power distriblitioll oj "LLUnogen T red CC" at liqliid nitrogen temperaWre.

See furt her s ubscript fl ~. 3.

100r-~~-r------,_------r-----_,

FIGURE 5. Temperawre dependence oj the lliminescellce oj "Lu.mo­gen T red GG" Jor A.xc = 365 nm.

The absorption of rhodamine B is given in figure 6, showing the enormous variation through the spectrum leading to a similar large variation in light output. Another drawback of liquid samples is the different geometry of the set-up needed for the measurement.

2.5r-------------------------------~

Rhodamine B ·2.0 13 ppm (2.IS>l10-5M)

2j 1.5 c

" -e ] 1.0 «

i 0.5

F IGU I1E 6. Spect ral absorbance oj rhodamine B.

Various authors have reported meas ure ments using 254 nm merc ury vapour di sc harge excitation. Here we give additional measurements on so me standards for longer wavelength excitation at Aexc= 365 nm. The phos phors meas ured were sodium salic ylate, the " Ekta SlO" sample, introduced by Crum [6] and " Lumogen T red GC" [7] (see tables 1 and 2).

The res ults for diffuse re fl ec tion at the exciting and e mi ss ion wavele ngth , th e practical and intrin sic rad iant e ffi cie ncies, and the prac ti ca l and intrinsic quantum e ffi cie ncies are gi ven.

TABLE 1. Efficiencies at Auc = 365 nm

Diffu se Rad iant Quantum Phosphor re Rec tion a t e ffi c iency e ffi cie ncy

A= 365 nm hem 1) " 1); CJ /J -q; % % % % % %

Na-salicylate 30 80 33 37 37 41 " Ekta 510" . 15 67 37 45 41 50 " Lu mogen T red GG" 13 25 41

TABLE 2. Efficiencies at A exc = 260 nm

Diffuse Radiant Quantum Phosphor reRec tion at efficiency e ffi cie ncy

A= 260 nm Aem 1)p 1) ; q p q; % % % % % %

Na-salicylate 7 80 34 37 55 60 " Lumogen T red GG" 6 22 53

Because of the thic k layer used, a correcti on has to be made for the loss of the lj ght absorbed in th e layer. The intrinsic radiant effi cie ncy YI i can the n be approxi­mated by [2]

2 Yli = l + r", YIp

403

Page 4: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

where r x is . the reflection coefficient of the phosphor for an infinitely thick layer.

The diffuse reflection of "Ekta SlO" is given In

figure 7, the spectral power distribution in figure 8.

100,,----.----.----~--_.

Ekta 5-70

50

25

500

F IGURE 7. Diffuse reflection of "Ekta 510. "

Rei. S{2ectr. power distr. Ekta $-/0

100

50

~7~5----~~--~----~----~--~~~0~--~525

FIGURE 8. Spectral power distribution of "Ekta 510."

See further subscript fig. 3.

The efficiency data for N a-salicylate at " exc = 260 nm can be compared with the data given in Samson' s book (ref. [3]) which are disc ussed by us in reference [7], together with some additional data.

Polarization effects in our measurements proved to be negligible, as may be expected for powder materials. Measurements we re carried out with incident polarized UV radiation, in two directions perpendicular to each other.

The stability of the lumogen was also tested as well

as the dependence on excitation density. During one month the efficiency of the lumogen was measured every two days. The stability in time proved to be very good; no changes were observed within the error of measurement, which was of the order of ± 10 percent.

The effici ency values were not affected even when the intensity of the UV -radiation was attenuated a thousand times.

3. Excitation in Selected Narrow Absorption Peaks

A method to determine the efficiencies of phosphors that have a small absorption of a few percent in narrow, well defined excitation levels (for the normal case of "exc ~ " em) was described earlier by us [13, 14] . Examples of these powders are rare-earth activated phosphors, such as YV04 -Eu3 + and NaYF4-Er3 + ,

where the (visible) excitation peaks are those of the rare-earth ion. The host lattice absorbs in the UV region.

A diagram of the se t-up is shown in figure 9. The phosphor is irradiated via a scanning monochromator. Two measurements have to be carried out, differing only in the filter used in front of the photomultiplier.

EJ J L f

=' ..0--

=- (Ph "-

Monochromator

FIGURE 9. Schematic diagram of the experimental set-up: ph = phosphor sample, f = filters , pm= photomultiplier.

One filter transmits only the light refl ected from the sample, giving the absorption spectrum_ In the second measurement the other filter selects the emission wavelength region, thus obtaining the excitation spectrum of that emission_ The curves are of the type shown in figure 10 for YV04 -Eu3+. The efficiency is calculated as follows.

The radiant efficiency is the ratio of the emitted power E to the absorbed exciting power A. The latter is determined by the area under the absorption curve of a certain peak with correction for the transmission T A of the filter used and for the photomultiplier re­sponse GU"A) in the absorption region. The emitted

404

Page 5: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

t

a) [xcitat ion spectrum

466

b) Refleclion spectrum "

469 466

, / , ,

,

_A(nm)

, , ,

" ~ c ;:,

t-o !:: :.Q '-0 '-c: 0

<::; <U

;;::: <U '-

<U V) ;:, ..... ..... Q

t I

469

I·' ICUHE 10. fi elll l ive l iid" 01111'111 of EII"··emissioll (c ll rve a ) and diff;l se reflecli on (carve b) as a func lion of wavelell!,lh for YVO I,Eu.

For c urve h the I.(: r(l line is s lippress t·d (the a hsorption pea k has a depth of about 13 pe rce ll t).

powe r E is dete rmined by the correspo nding area under the excitation curve with co rrection for the tran s miss ion Te of the filt er used in thi s case and the res ponse G (1I.E) in th e emission region. For single narrow pea ks we can take the ratio of the ordinate maxima in the a bsorption and excit ation spectra VA a nd VE , respectively, ins tead of th e area. W e then find for the emitted power

f p (A.e) dA.E E= VE -,---"-------f p(A.e) G(A. E he(A.E )dA.E

where p(A.c· )dA.E is the re lative e mitted power in a region dA.E (integration extended ove r the total s pectral region of the emission). The a bsorbed power is given by

A= VA G(A.Ah A

Then the radiant e ffi ciency 7) is

E UETAG( A.A) f p(A.E )dA.E 7) =-= .

A VA f P(A.E)G( A.e) TE( A. E)dA.c·

The quantum e ffici e ncy q is derived from the radiant e ffi c iency by

f A.tP(A.E )dA.£ q=7)

A..I f p(A.J:.·)dA.E

Th e e rror in thi s type of measure me nt may be of th e order of 10-25 percent, de pe ndin g on the value of the a bsorption. This la rge error is caused by th e low value of the absorption in the rare-earth ion.

4. Cathode-Ray Excitation

The radiant e ffici e ncy 7)" for cathode-ray excita­tion [2-4 , 15 , 16] is generally defi ned as th e ratio of th e a mount of emitted luminescent power in the spectral region unde r consideration to the power of the inc ide nt cathode- ray beam (and not to the powe r absorbed by th e phos phor laye r). Thus no correction is made for the loss due to re fl ec ti on of primary e lec trons [2,15,16].

In thi s case two reaJly absolu te meas ure me nts are necessar y, viz., th a t of th e e milted power and th at of th e power of th e cathode·ray beam (fi g. 11).

A

to pump

F~ ~ high 6 'V

D~ ~D voltage

+

c

tlGUHE 11. Experimental set·up for efficienc y m.easurem~nts with C. R. excita tion.

A. metal chambe r. h. anode. f. filam ent . ~. cap, F. fOC LI S ill :! coil. O. defl ection coils . B. g lass tube. C. me tal cyli nde r . P . ta rge t plate , a, b, c, a nd d quartz windows. 1\1. mic ro­Lllllme te r.

405

206-267 OL - 76 - 2

Page 6: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

The measurements are carried out on thick layers at the irradiated side. Precautions should be taken to e nsure that charging up of the layer is negligible.

The radiant output of the phosphor was compared with the radiation of a standard lamp which was diffusely reflected by a MgO layer. A thermopile was used [2] las a detector.

, i

5. X-Ray Excitation

To measure radiant efficiencies with x·ray excitation [17-19] thin phosphor layers are used (= lOOp-m). This is necessary to minimize the loss in light output due to scattering and absorption of the emitted luminescence. The total back·screen emission is collected by a 27T-geometry elliptical mirror and focused onto the photomultiplier detector (see fig. 12),

~'--I -----, \ ~ 5J Calibrated ~ detector

Detector

Dk>{mron ~-------------~~I ~ Calibrated \ S Y

source ~

FIGURE 12. Diagram for efficiency measurement of light emitting diodes.

which is calibrated in absolute units (A/W). The x-ray absorption coefficients . are measured ,with a scintilla­tion crystal as well as calculated from the tables of Storm and Israel [20].

6. Measurements of Light-Emitting Diodes, Crystals, etc

In cases where the angular distribution of the e mitted radiation does not obey Lambert's law it is not sufficient to measure the emitted radiation in one direction but the total radiation should be determined. This can be carried out with the aid of an Ulbricht's sphere or with an elliptical mirror.

The absolute output can be calibrated in two ways (see fig. 13):

(1) the luminescent output IS measured with a

supply 75kV

1mA

, I

: diaphragm

===i~~ i/ lead shield

elliptic mirror

I

sample 0-detector

FIG URE 13. Experimental set·up for x·ray efficiency measurements.

calibrated detector (A/W . cm 2 ). e.g .. a 150 CV or 150 UV photocell (calibration National Physical Laboratory, Teddington, England).

(2) the luminescent output is compared with the output of a calibrated standard lamp, e.g., a 200 W or 1000 W tungsten· halogen lamp; calibrated by the National Bureau of Standards in Washington, D.C. (W /nm . cm2 ). In this case the diode to be measured is replaced by a BaS04-coated screen S.

The use of a 27T-geometry elliptical mirror [21] instead of an Ulbricht's sphere gave nearly the same results.

7. References

[1] Nat. Bur. Stand. (U.s.), Tech. News Bull. 42, 145 (1958) Bri!, A., and Hoekstra, W., Philips Res. Re pts. 16, 356, (1961) and Philips Res. Repts. 19,296 (1964).

[21 Bri!, A., in Kallman·Spruch, Luminescence of Organic and Inorganic Materials. p. 479 (John Wiley and Sons. Inc. Ne'w York 1962).

l3] Ludwig, C. W., and Kingsley, J. D. , J. Electrochem. Soc. 117,348 (1970).

[4] Kingsley, J. D., and Ludwig, C. W., J. Electrochem. Soc. 117, 353 (1970).

[5] See e.g. Samson, J. A. R. , Techniques of Vacuum Ultraviolet Spectroscopy. p. 216 (John Wiley and Sons. Inc .. New York. 1967).

[6] Crum, F., C.I.E.·Report of Subcommittee on Luminescence, 18th Session, London, 1975.

[71 Bril , A., and de Jager·Yeenis, A. W., The Electrochemical Society, Spring Meeting at Toronto, May 1975; J . Electro· chern. Soc. 123,396 (1976).

[8] Crum, F., and Luckey, C. W., App. Optics 7,2289 (l968). [9] Kristianpoller, N., and Dutton, D., Appl. Opt. 3, 287 (1964).

[10] Yavilov, V. S., J. Chern. Phys. Solids 8, 223 (1959). [11] Morgenshtern, Z. L., Neustruev, V. B., and Epshtein, M. I. ,

J. Appl. Spectros. 3, 35 (l965).

406

- - --- --- - --

Page 7: Some methods of luminescence efficiency measurementswhere P (A) is the emitted luminescent power and Aexc is the exciting wavelength. The NBS standards mentioned in 2.1 are not excited

[l2] Kuttner. H. G .. Selzle. A. L.. and Schlag. E. W .. Z. Naturf. 29a, 224 (1974).

[13] Bri!, A., Blasse, C., and Bertens, J. A. A., J. Electrochem. Soc., lI5, 395 (1968).

[14] Bril, A., Sommerdijk, J. L., and de Jager, A. W., J. Elec tro-chern. Soc. 122, 5 (1975).

[15] Lehmann, W., J. Electrochem. Soc. lI8, 1164 (1971). [16] Meyer, V. D., J. Electrochem. Soc. lI9, 920 (1972). l17J de Poorter, J. A., and Bril , A., J. Elect rochem. Soc. 122,

1086 (1975).

407

[18] Ludwig, C. W., J . Electrochem. Soc. lIS, 1152 (1971). [19] Crum, r., Costa, L. r., Donovan, .J. L., J. Opt. Soc. Am. 59,

848 (1969). [20] Storm. E. , and Is rael. H. 1., Report LA 3753, Los Alamos Scien­

tific Laboratory of the Un iversity of Cali forn ia, 1967. [21] van del' Does de Bye, J. A. W., Rev. Sci. Instrum. 40,320

(1969)

(paper 80A3-891)