J. Electrochem. Soc., Yol. 137, No. 2, Februrary 1990 9 The Electrochemical Society, Inc. 628 8. S. B. Desu, J. Am. Ceram. Soc., 72, 1615 (1989). 9. K. F. J e n s e n and D. B. Graves, This Journal, 130, 1950 (1983). 10. P. Van Der Puttle, L. J. Giling, and J. Bloem, J. Cryst. Growth, 31, 299 (1975). 11. A. Yekel and S. Middelman, This Journal, 134, 1275 (1987). 12. J. Juza and J. Cermak, ibid., 129, 1627 (1982). 13. T. R. Hughes, "The Finite Element Method," Prentice Hall, Inc., Englewood Cliffs, N J (1987). 14. O. C. Zeinkiewicz, "The Finite Element Method in Engineering Science," McGraw-Hill, Inc., New York (1973). 15. P. V. Danckwerts, Chem. Eng. Sci., 2, 1 (1953). Yields of the Plasma Oxidation of Silicon by Neutral Oxygen Atoms and Negative Oxygen Atom Ions C. Vinckier and S. De Jaegere Laboratory for Analytical and Inorganic Chemistry, K. U. Leuven, Celestijnenlaan 20OF, B-3030 Leuven, Belgium ABSTRACT The yield for the plasma oxidation of silicon is defined for both ground state oxygen atoms (O3P) and oxygen atom ions (O-). On the basis of these yields it is shown that the role of oxygen atoms is negligible compared to the negative oxygen atom ions in plasma oxidation. The negative ion oxidation yield as a function of temperature follows an Arrhenius behavior with an apparent temperature coefficient of 0.20 -+ 0.033 eV. Other factors such as the oxygen pressure, the silicon bias voltage, or the reactor geometry have only a minor effect on the oxidation yields. Calculated negative ion fluxes from the plasma toward the silicon substrate seem to be too low to explain the observed initial silicon dioxide growth rates, which supports a surface-catalyzed formation path for the negative oxygen atom ions. While it is well known that the oxidation of silicon proceeds much faster in oxygen-containing plasmas than in conventional thermal oxidation systems (1-6), the overall oxidation mechanism is not completely characterized. The application of a positive bias voltage enhances the oxidation rate (3-7), and thus negative charge carriers play a major role under plasma anodization conditions. A number of studies indicate that the negative oxygen ion O- is a crucial oxidation precursor (5-8). It is indeed shown (5) that a direct correlation exists between the O- concentration and the observed oxidation rate of silicon. A convincing argument is the titration of O- by the addition of N20, leading to the fast conversion of O- into 02-. In this experiment a strong reduction of the oxidation rate was observed even though it is claimed the total negative ion concentration is larger than in pure oxygen. Although the negative ion O- is certainly present as such in the gas phase, some authors (6, 9) believe that it is formed to a large extent in a catalyzed surface reaction e- + Oad surface ~ Oad- [1] The deposition of a thin ZrO2 layer on the silicon substrate strongly enhances the oxidation rate, which is explained by an increased formation rate of O- ions at the oxide/plasma interface (9b). However, in plasma afterglows in the absence of an electric field or when the silicon substrate is unbiased and its potential is floating, the role of Oions is uncertain. In our previous work, where the silicon substrates were placed in the afterglow far outside of the microwave plasma, it was shown that oxygen atoms in their electronic ground state (O3P) were the only oxidizing species present in the gas phase (10, 11). In recent work on the oxidation of silicon substrates by microwave discharged oxygen plasmas, it was also suggested that oxygen atoms dominate the oxide growth kinetics (12). In this paper silicon oxidation yields will be defined for oxygen atoms 6o,sio2 and for negative oxygen ions ~O-,SiO2" It will be shown that in plasma oxidation systems the role of oxygen atoms as such is negligible due to their very low oxidation yield <~o.sio2-The yield of negative oxygen atom ions ~o-.sio2 which can be derived from plasma anodization studies is orders of magnitude higher. It only slightly depends on the reactor vessel design and experimental conditions such as oxygen pressure or bias voltage, but fol- lows an Arrhenius temperature dependence. On the basis of a calculated negative ion flux from the gas phase towards the silicon substrate, the additional heterogeneous formation path for O- ions by reaction [1] seems to be required to explain the observed initial silicium dioxide growth rates. Yields Atomic oxygen yields for Si02 production in microwaveinduced plasma afterglows.--The oxidation of phosphorous-doped <100> silicon wafers in the afterglow of microwave induced plasmas containing O j A r mixtures has been described in our earlier work (10, 11). It was shown that O(~P) atoms are the ultimate gas phase species responsible for the silicon oxidation. Additionally, it was found that the oxide growth rate was not influenced when the flow velocity varied between 1 and 5 m s -1. This means that the convective transport of the active species (i.e., 0 atoms) is not a rate determining factor in the oxidation process. Recently it was also noticed that the geometrical orientation of the wafer had no effect on the oxidation rate with the wafer mounted either perpendicular or parallel to the gas flow (13). Under these circumstances the O atom flux, Fo, is directly given by [0] x c Fo - - 4 [2] where [O] is the oxygen atom concentration in the gas phase, c = (8 RT/wM) ~2 the thermal velocity, R is the universal gas constant, T the temperature in Kelvin, and M the atomic mass of oxygen. The yield of silicon dioxide ~o,sio2 by reaction of atomic oxygen with the surface can be defined as the n u m b e r of SiO2 entities formed per unit of surface and time, Nsio2, divided by half of the oxygen atom flux Fo, since two O atoms are needed to form one SiO2 entity ~o,sio2 - 2 x Ns~o2 Fo [3] The formation rate Ns~o2can then be expressed in terms of the silicon dioxide growth rate Rsio2 as follows Rsio2(A h-') - Nsi~ x Msio2 x K NA • dsioz [4] Downloaded on 2016-09-12 to IP 130.203.136.75 address. Redistribution subject to ECS terms of use (see ecsdl.org/site/terms_use) unless CC License in place (see abstract). J. Electrochem. Soc., Vol. 137, No. 2, February 1990 9 The Electrochemical Society, Inc. w i t h Msio2b e i n g t h e m o l a r w e i g h t of SiO2 (60 g mol-~), NA t h e A v o g a d r o n u m b e r (6 x 10~3), dsioz t h e d e n s i t y of SiO2 (2.27 g cm-3), a n d K a n u m e r i c a l f a c t o r t a k i n g i n t o a c c o u n t t h e c o n v e r s i o n of t h e silicon d i o x i d e g r o w t h rate f r o m c m s -1 t o / ~ h - L T h i s f a c t o r is e q u a l to 3.6 x 10 ~ a n d h a s t h e dim e n s i o n s of/~ s c m -~ h - L B y c o m b i n i n g Eq. [3] a n d [4], a n d a f t e r i n s e r t i n g all t h e n u m e r i c a l v a l u e s of t h e v a r i o u s par a m e t e r s , o n e finds 1.26 • 10 n • Rsio2 r - [5] Fo E q u a t i o n [5] allows u s to c a l c u l a t e r in o u r p r e v i o u s afterglow oxidation experiments. The extrapolated g r o w t h rate Rsto2 to a r e a c t i o n t i m e t = 0 w a s e q u a l to 140.4 A h -1 a t 847 K [Table III, Ref. (10)] w i t h a n O a t o m c o n c e n t r a t i o n o f 1.5 x 10 ~ a t c m 3. T h i s c o r r e s p o n d s to a n O a t o m flux Fo e q u a l to 3.98 x 10 ~9 at c m ~2 s -1. I n s e r t i n g t h e v a l u e s of RsLo~ a n d Fo in Eq. [5] l e a d s to a yield r e q u a l to 4.4 x 10- at 847 K. T h e a c c u r a c y of t h e o x i d a t i o n yield $o,s~oJ2 d e p e n d s prim a r i l y o n b o t h Rs~o~ a n d Fo. T h e v a l u e of Rs~o2 is o b t a i n e d b y a n u m e r i c a l t r e a t m e n t of t h e e x p e r i m e n t a l l y g e n e r a t e d g r o w t h c u r v e s (10) w h e r e t h e e r r o r is less t h a n 10%. T h e m a g n i t u d e of t h e O a t o m flux is m a i n l y d e t e r m i n e d b y t h e accuracy of the O atom concentration. The latter has been m e a s u r e d b y t h e c h e m i c a l t i t r a t i o n t e c h n i q u e w i t h NO2, which yields the absolute O atom concentration within 20%. T h e overall a c c u r a c y of r must thus be of the o r d e r of -+30%. I n v i e w o f t h i s e x t r e m e l y low y i e l d it is c l e a r t h a t t h e silic o n d i o x i d e g r o w t h r a t e is n o t at all t r a n s p o r t c o n t r o l l e d , s i n c e t h e O a t o m c o n s u m p t i o n at t h e s u r f a c e is negligible. T h i s j u s t i f i e s t h e u s e o f t h e t h e r m a l v e l o c i t y c in Eq. [2] for t h e c a l c u l a t i o n of Fo. I n o u r p r e v i o u s w o r k (10) w e h a v e t a k e n t h e m a c r o s c o p i c t r a n s p o r t v e l o c i t y v to c a l c u l a t e Fo a n d t h i s led to a h i g h e r b u t i n c o r r e c t v a l u e for r of 1.82 x 10 -5. I t s h o u l d also b e s t r e s s e d h e r e t h a t c a l c u l a t e d yield is a n u p p e r l i m i t for t h e e x p e r i m e n t a l c o n d i t i o n s at 847 K [Table III, Ref. (10)], s i n c e t h e g r o w t h r a t e follows a p a r a b o l i c d e p e n d e n c e o n t h e o x i d a t i o n time. I n t h i s c a s e Rs~o2 d e c r e a s e s as a f u n c t i o n o f t i m e b y m o r e t h a n a f a c t o r o f 10 b e t w e e n t = 0 a n d 5h a n d t h u s r must drop with t h e s a m e factor. T h i s e x t r e m e l y l o w o x i d a t i o n yield r c a n i n principle b e e x p l a i n e d b y e i t h e r a v e r y l o w r e a c t i o n r a t e o f oxyg e n a t o m s at t h e silicon/silicon d i o x i d e interface, or b y a loss p r o c e s s o f t h e o x y g e n a t o m s d u r i n g t h e i r t r a n s p o r t t h r o u g h t h e silicon d i o x i d e layer. S i n c e u n d e r t h e foregoi n g e x p e r i m e n t a l c o n d i t i o n s a p a r a b o l i c g r o w t h r a t e dep e n d e n c e o n t h e o x i d a t i o n t i m e is o b s e r v e d , t h e o x i d a t i o n process must be transport controlled. The low oxidation yield is t h u s m o s t p r o b a b l y d u e to a fast r e c o m b i n a t i o n of t h e O a t o m s i n t h e f r e s h l y f o r m e d SiO2 layer. A k i n e t i c m o d e l i n g c a i c u l a t i o n is n o w b e i n g u n d e r t a k e n to c h e c k t h i s possibility. In their work on the microwave discharge oxidation of floating silicon s a m p l e s , K i m u r a a n d c o - w o r k e r s (12) 629 c a m e to t h e c o n c l u s i o n t h a t n e u t r a l o x y g e n a t o m s m a y p l a y a n i m p o r t a n t role i n t h e o x i d a t i o n m e c h a n i s m . S i n c e t h e y also c a r r i e d o u t a n e x p e r i m e n t at 853 K w e c a n u s e t h e d e r i v e d v a l u e of r to e s t i m a t e t h e i r g r o w t h rate. A l t h o u g h t h e O a t o m c o n c e n t r a t i o n is n o t k n o w n i n t h e i r e x p e r i m e n t , o n e c a n set a 100% d i s s o c i a t i o n yield of t h e m o l e c u l a r o x y g e n p r e s e n t in t h e p l a s m a i n o r d e r to estimate the maximum possible O atom concentration. Since t h e t o t a l O2 p r e s s u r e w a s 2.7 • 10 -2 Pa, t h e m a x i m u m a c h i e v a b l e O a t o m c o n c e n t r a t i o n w a s 4.58 • 10 ~2 at c m ~3, r e s u l t i n g i n a m a x i m u m of 1.27 • 1017 at c m -2 s - ' for t h e flux Fo i n t h e i r e x p e r i m e n t a l c o n d i t i o n s . W h e n v a l u e s of Fo a n d $o,s~o~ are i n s e r t e d in Eq. [5], o n e o b t a i n s t h e m a x i m u m a t t a i n a b l e g r o w t h rate, Rs~o2, of 0.43 A h -~. T h i s is at l e a s t a f a c t o r of a h u n d r e d t o o l o w to e x p l a i n t h e o b s e r v e d g r o w t h rateS. H e n c e w e m a y c o n c l u d e t h a t o x y g e n a t o m s in t h e gas p h a s e c a n o n l y p l a y a v e r y m i n o r role i n t h i s t y p e of p l a s m a o x i d a t i o n s y s t e m , w i t h t h e silicon s u b s t r a t e u n b i a s e d a n d at a floating potential. Negative ion yields for Si02 production under plasma anodization.--Assuming t h a t t h e n e g a t i v e o x y g e n a t o m i o n O- is t h e m a j o r species u n d e r p l a s m a a n o d i z a t i o n conditions, a n a n a l o g o u s e q u a t i o n to Eq. [5] c a n n o w b e der i v e d for t h e o x i d a t i o n yield of O- ions ~o-.s,o2- T h e O a t o m flux in t h e d e n o m i n a t o r m u s t t h e n b e r e p l a c e d b y t h e nega t i v e i o n O- flux. W h e n t h e a n o d i z a t i o n c u r r e n t Ia is exp r e s s e d in m A c m -z, t h e O- flux is e q u a l to 6.25 x 1015 x f x [a or 2.01 x 10 5 Rsio2 4o-,sio2 - [6] fxla w h e r e t h e f a c t o r f i s t h e ratio of t h e O - c o n c e n t r a t i o n to t h e t o t a l c o n c e n t r a t i o n of n e g a t i v e c h a r g e c a r r i e r s i n t h e substrate. F o r m o s t of t h e r e s u l t s r e p o r t e d in t h e l i t e r a t u r e o n p l a s m a o x i d a t i o n t h i s f a c t o r f i s n o t k n o w n , so w e will set it e q u a l to 1 i n o r d e r to d e r i v e m i n i m u m v a l u e s for r T h e c a l c u l a t e d yields d)o- s102 for a w i d e v a r i e t y of e x p e r i m e n t a l s e t u p s a n d c o n d i t i o n s are g i v e n i n T a b l e I. W h e n a parabolic growth rate was observed we have calculated the e x t r a p o l a t e d v a l u e of Rsi02 at t = 0. F r o m T a b l e I o n e imm e d i a t e l y sees t h a t r ,si02 is at l e a s t a f a c t o r of a t h o u s a n d larger than r at c o m p a r a b l e t e m p e r a t u r e s . I n reality t h e yields ~ O - SiO2 m u s t b e m u c h larger, s i n c e i n s o m e cases (9, 15) t h e ratio o f t h e n e g a t i v e i o n flux Fo- to t h e t o t a l flux of n e g a t i v e c h a r g e carriers is of t h e o r d e r of 10 -2. T h i s w o u l d b r i n g t h e real i o n i c yield o f n e g a t i v e o x y g e n a t o m i o n s O- i n t h e r a n g e f r o m 0.01 to 1. I n o r d e r to d e r i v e t h e t e m p e r a t u r e d e p e n d e n c e of t h e ion yield, a p l o t is m a d e of In r ,s,o~ vs. 1/T. F i g u r e 1, w h e r e o n e sees t h a t t h e t e m p e r a t u r e d e p e n d e n c e for m o s t of t h e c a l c u l a t e d yields follows a r e a s o n a b l y g o o d A r r h e n i u s behavior. I n t h i s w a y Fig. 1 i l l u s t r a t e s t h a t 4)o-.s~o2 is m a i n l y d e t e r m i n e d b y t h e t e m p e r a t u r e , a n d o n l y to a m i n o r e x t e n t b y t h e o t h e r e x p e r i m e n t a l c o n d i t i o n s s u c h as t h e o x y g e n p r e s s u r e or t h e bias voltage. F r o m t h e s l o p e of t h e line a t e m p e r a t u r e coefficient of 0.20 • 0.033 e V c a n b e d e r i v e d . Table I. Experimental conditions and calculated yields ~o-,s~o2 obtained under plasma anodization conditions Plasma Rsioo (A h :1) T (K) P (10-3 tort) Ia (10-2A cm -~) Bias (V) MW MW MW RF RF IVIW MW 1300 500 840 14.0005 18.0005 24.0005 18.0005 40 40 50-60 200 200 150 150 60 20 10 100 30 277.7 277.7 50 18 10-20 0-~ 100 0 -o 300 300 50 MW MW 3000 18.000 498a 498a 673 878 873 723c 723c 673 823 543-703e .100 600 12.2 20-30e 50 60-80e 4)0 .si02 Ref. 4.35 • 10 4 5.02 • 10_4 1.68 • 10-3 2.8 x 10-3 1.2 • 10-2 1.77 x 10_2 1.3 x 10_3 1.0 • 10 -3 d 4.94 x 10-2 1.5 x 10-2 (7) (7) (8) (14) (3) (2) (2) (9) (15) (1) a Sample temperature is taken equal to 225~ b Rs~o2is calculated at t = 0 (extrapolation). c Average temperature. d Quoted yield in ReL (9). e Range in values as given in Ref. (1). Downloaded on 2016-09-12 to IP 130.203.136.75 address. Redistribution subject to ECS terms of use (see ecsdl.org/site/terms_use) unless CC License in place (see abstract). J. Electrochem. Soc., Vol. 137, No. 2, February 1990 9 The Electrochemical Society, tnc. 630 stant for the dissociative a t t a c h m e n t reaction k~ b e c o m e s e q u a l to 2.2 • 10 -l~ c m 3 m o l e c -1 s '. F o r the reverse reaction the rate constant k8 for the reaction b e t w e e n t h e r m a l O- ions and o x y g e n atoms is f o u n d to be 1.7 x 10 -1~ c m 3 m o l e c 1 s-1 (17), and so the e q u i l i b r i u m c o n s t a n t K~ is e q u a l to ,~,, la) In ~bo-,Si 02 "'5 Ke . [O-][O] . . . [e ][02] k7 k8 1.29 [9] or the ratio [O-]/[e-] in the plasma gas is g o v e r n e d by the m o l e c u l a r o x y g e n dissociation yield [O ] [02] - [e-] 1300v}C~ ---7 Isov}O 9 X ~ ( 18V1 --8 FIG] X 1.5 2 } I V'r *m'3 2.5 * I Fig. 1. Natural logarithm of the ionic oxidation yield ~o-,s~o2 as a function of 1/T. The symbols refer to the following authors and references: * Ligenza (1); Aa Sugano (3); Ab Sugano (14); 9 Eccleston (15); G Kraitchman (2); [~ Fu (8); 9 Roppel (7); 9 quoted by Perri~re (9). The numbers given between brackets are the applied bias voltages. We h a v e not i n c l u d e d the Ligenza (1) or s o m e of the S u g a n o (3) data since the yields are a p p a r e n t l y h i g h e r t h a n in the o t h e r e x p e r i m e n t s at similar t e m p e r a t u r e s . The m o s t p r o b a b l e e x p l a n a t i o n for their high yield m u s t be s o u g h t in a m o r e favorable f factor and thus a higher ratio of t h e O- flux to the total n e g a t i v e charge carrier flux. Concentration of negative charge carriers in plasmas.In order to establish the possible role of n e g a t i v e o x y g e n a t o m ions generated in the plasma itself, one should estim a t e first the c o n c e n t r a t i o n ratio [O-]/[e-]. Most p r o b a b l y their c o n c e n t r a t i o n in the plasma at low p r e s s u r e is gove r n e d by the partial e q u i l i b r i u m 7 e- + O2 ~---O- + O 8 [7, 8] In v i e w of this partial e q u i l i b r i u m i n t e r c o n n e c t i n g the concentrations of electrons, n e g a t i v e ions, and o x y g e n atoms, any e x t e r n a l factor affecting one of t h e s e c o n c e n t r a t i o n s will h a v e an influence on the o b s e r v e d oxidation rates. The t h r e s h o l d for reaction [7] to occur lies at an electron e n e r g y E~ of 4.3 eV (16). The cross section q7 for dissociative electron a t t a c h m e n t reaches a peak v a l u e of 1.6 • 10 -18 c m 2 at an e l e c t r o n energy of 6.5 eV (16), and h e n c e the rate con- 1 . 2 9 - [10] [O] H e n c e high o x i d a t i o n rates can be realized w h e n the [02]/[0] ratio is relatively high. This could be one of the reasons w h y the calculated yields for the Ligenza (1) and Su~ gano (3) e x p e r i m e n t s are high in v i e w of the high 02 pres~ sures in their system. A n o t h e r i m p o r t a n t factor of course is the v a l u e of the e q u i l i b r i u m c o n s t a n t he, w h i c h itself strongly d e p e n d s on t h e electron energy Ee. For the electron energies of 9 and 10 eV, the cross section q7 decreases to t h e r e s p e c t i v e values of 0.1 • 10 -18 and.0.04 x 10 -'8 c m 2, w h i c h leads to the rate c o n s t a n t k7 of r e s p e c t i v e l y 1.6 • 10 -11 and 6.87 • 10 -12 each in units of cm 3 m o l e c -1 s-'. A lower for1-nation rate of O- ions m u s t of course result in a lower [O-]/[e-] ratio in the plasma gas. W h e t h e r the n e g a t i v e ion c o n c e n t r a t i o n in the p l a s m a itself is sufficient to attain the calculated yields ~o-.s~o2, or an additional h e t e r o g e n e o u s f o r m a t i o n path (reaction [1]) is required, cannot be definitely established for t h e p l a s m a anodization condition. The m a j o r u n k n o w n factor is the n e g a t i v e ion flux in the gas phase towards the silicon substrate, w h i c h d e p e n d s on the local field strength in the plasma. When t h e silicon substrate is floating though, the n e g a t i v e ion flux can be e s t i m a t e d on the basis of Eq. [2]. T h e n e g a t i v e ion c o n c e n t r a t i o n can be calculated on the basis of the partial equilibrium, and for the ion t h e therm a l v e l o c i t y will be assumed. We h a v e n o w selected the e x p e r i m e n t a l conditions of K i m u r a etal. (12, 18) in w h i c h w e e s t i m a t e an average 30% dissociation yield of 02 in t h e m i c r o w a v e discharge. F o r the c u s p p l a s m a w i t h an e l e c t r o n e n e r g y of a b o u t 9 eV the e q u i l i b r i u m c o n s t a n t K~ is e q u a l to 9.0 • 10 -2, while for the m i r r o r p l a s m a w h e r e E~ is of the order of 10 eV, the v a l u e of K~ b e c o m e s e q u a l to 3.8 x 10 -2. The o x i d a t i o n rate Rsio~ is calculated at t = 0 t h r o u g h an extrapolation f r o m the first e x p e r i m e n t a l points. The other parameters and the calculated yields q~o-,sio2 are g i v e n in Table II. One sees that for the average e x p e r i m e n t a l conditions, yields ~o-,s~o2 larger t h a n one are f o u n d for the p l a s m a - g e n e r a t e d O- ions. This is of course i m p o s s i b l e and m a y l e n d s u p p o r t for the h e t e r o g e n e o u s f o r m a t i o n path for negative a t o m ions in reaction [1]. This confirms the findings of other authors in a n u m b e r of p l a s m a o x i d a t i o n systems of various substrates (19, 20). It s h o u l d be p o i n t e d out, however, that the a b o v e is only true at t h e initial stage of the o x i d e growth. O n c e the o x i d e t h i c k n e s s b e c o m e s larger t h a n 200 to 350A, the g r o w t h rate sharply decreases. In that case the role of reaction [1] as m a j o r O- source b e c o m e s less certain and the n e g a t i v e ion flux out of the plasma gas m i g h t be sufficient to e x p l a i n t h e o b s e r v e d growth rates. Conclusion The yields for the o x i d a t i o n of silicon by neutral o x y g e n a t o m s and atomic o x y g e n n e g a t i v e ions, r e s p e c t i v e l y r and $o-,s~o~, h a v e b e e n defined in this paper. T h e Table II. Plasma composition and ~o-,s~o2for the average conditions in the Kimura et al. experiment (12, 18) [e]av • 101~ cn1-3 Cusp Mirror 1.3 -+ 0.5 5.9 -+ 3 X [10;)c~_3 1.31 2.5 X 101FcO~_2 s i 3.47 6.6 R~% ~)o- SiO2 400 950 1.45 1.81 Downloaded on 2016-09-12 to IP 130.203.136.75 address. Redistribution subject to ECS terms of use (see ecsdl.org/site/terms_use) unless CC License in place (see abstract). J. Electrochem. Soc., Vol. 137, No. 2, February 1990 9 The ElectrochemicalSociety.,Inc. (bo,sio2 yield could be exactly derived from the plasma afterglow oxidation of silicon and it was found to be very low and only of the order of 4.4 _+ 1.2 x 10 v at 847 K. This low yield excludes the role of oxygen atoms as such as oxidizing species in any plasma oxidation system, either with the silicon sample floating or under anodization conditions. The yield ~o-.s~o2 derived in various plasma anodization systems is orders of magnitude larger and does not seem to be influenced m u c h by experimental conditions such as the oxygen pressure, bias voltage, or any geometrical features of the reactor system. Only the temperature has a determining effect on ~o-.sior Concerning the role of the negative oxygen atom ions formed either in the plasma gas itself or in a heterogeneous reaction at the surface, our calculated yield ~o .s~o2 for a floating substrate indicates that a heterogeneous mechanism is required at the initial stage of the oxidation process. Once the silicon dioxide layers become of the order of 200 to 350A, the observed growth rates can be explained on the basis of negative oxygen atom ions formed in the plasma itself. Acknowledgments We thank the Inter-University Institute for Scientific Research (Belgium) for their financial support. We also are grateful to IMEC vzw for their scientific cooperation. C.V. is a Research Director of the National Fund for Scientific Research, Belgium. The technical assistance of M. Blondeel is also acknowledged. Manuscript submitted March 28, 1989; revised manuscript received Sept. 5, 1989. The Catholic University of Leuven assisted in meeting the publication costs of this article. REFERENCES 1. J. R. Ligenza, J. Appl. Phys., 36, 2703 (1965). 2. J. Kraitchman, ibid, 38. 4323 (1967). 631 3. V. Q. Ho and T. Sugano, IEEE Trans. Electron. Devices, 27, 1436 (1980). 4. A. K. Ray and A. Reisman, This Journal, 128, 2466 (1981). 5. J. L. Moruzzi, A. Kiermasz, and W. Eccleston, Plasma Physics, 24, 605 (1982). 6. P. Friedel and S. Gourrier, J. Phys. Chem. Solids, 44, 353 (1983). 7. T. Roppel, D. K. Reinhard, and J. Asmussen, J. Vac. Sci. Tec~noL B, 4, 295 (1986). 8. C. Fu, J. C. Mikkelsen, J. Smitt, J. Abelson, J . C . Knights, N. Johson, A. Barker, and M. J. Thomson, J. Electron. Mater., 44, 685 (1985). 9. (a) J. Siejka and J. Perriere, Mat. Res. Soc. Symp. Proc., 38, 427 (1985); (b) J. Perriere, J. Siejka, and R. P. H. Chang, J. Appt. Phys., 56, 2716 (1984). 10. C. Vinckier, P. Coeckelberghs, G. Stevens, M. Heyns, and S. De Jaegere, ibid., 62, 1450 (1987). 11. C. Vinckier, P. Coeckelberghs, G. Stevens, and S. De Jaegere, Appl. Surf. Sci., 30, 40 (1987). 12. S. Kimura, E. Murakami, T. Warabisako, and H. Sunami, This Journal, 135, 2009 (1988). 13. C. Vinckier, M. Blondeel, and S. De Jaegere, Unpublished results. 14. V. Q. Ho and T. Sugano, Jpn. J. Appl. Phys., 19, supplement 19-1,103 (1979). 15. A. Kiermasz, W. Eccleston, and J. L Moruzzi, Solid State Electron., 26, 1167 (1983). 16. D. Rapp and D. D. Briglia, J. Chem. Phys., 43, 1480 (1965). 17. L. Khvorostovskaya and V. Yankovskii, Sov. J. Phys., 2, 1496 (1985). 18. S. Kimura, E. Murakami, K. Miyake, T. Warabisako, H. Sunami, and T. Takuyama, This Journal, 132, 1461 (1985). 19. K. Ando and K. Matsumara, Thin Solid Films, 52, 153 (1978). 20. G. Olive, D. L. Pulfrey, and L. Young, ibid., 12, 427 (1972). Design and Characterization of a Thermally Stable Ohmic Contact Metallization on n-GaAs Ram P. Gupta and W. S. Khokle Central Electronics Engineering Research Institute, Pilani (Rajasthan) 333 031, India J. Wuerfl and H. L. Hartnagel Institute Fuer Hochfrequenztechnik, Technische Hochschule Darmstadt, Germany ABSTRACT A new metallization system comprising of Ge-WSiz-Au is developed for thermally stable ohmic contacts to n-GaAs. Physical properties of materials in the layers and their chemical reaction stability are considered in designing the multilayered structure. Metallized samples are annealed at various temperatures and systematical]y characterized using electron spectroscopy for chemical analysis (ESCA) and scanning electron microscopy (SEM) to assess the stability of the metallization. Contact resistance is measured to determine its suitability for device application. It is observed that 1000A thick layer o f W 9 St2 acts as an effective diffusion barrier in the system and interdiffusive effects are absent for temperatures up to 460~ Contact resistance better than 5 • 10 ~~ 9cm ~is measured on n-GaAs (n = 1016 cm-3). The metallization demonstrated resistance stability up to 700~ The reliability of contact is examined by thermal aging at 350~ for 200h. For high-temperature applications of microelectronics, the solid-state devices are required to function reliably in hot ambients (>300~ (1-3). The excellent material properties combined with the recent technological advancements have made GaAs a leading contender among the large gap semiconductors (4-10) for high-temperation applications. However, one of the most difficult problems associated with GaAs devices intended for operation at elevated temperatures is the failure of interface integrity between the metal and the semiconductor (11, 12-15). Even in room temperature preparation of metal-semiconductor junctions, interdiffusion and interracial reactions occur and these get accentuated at high temperatures (11, 15, 16). This thermally induced interaction alters the interface metallurgy and morphology which profoundly influences the electrical behavior of the junction. Therefore, the ultimate limit in performance, parametric stability, and longterm reliability of GaAs devices are determined by the properties of metallization system used for contacts. Downloaded on 2016-09-12 to IP 130.203.136.75 address. Redistribution subject to ECS terms of use (see ecsdl.org/site/terms_use) unless CC License in place (see abstract).
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