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`Petitioner Samsung - SAM1012
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`1
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`J. Electrochem. Soc., Vol. 137, No. 11, November 1990 © The Electrochemical Society, Inc.
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`3613
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`J. Electrochem. Soc., Vol. 137, No. 11, November 1990 (cid:14)9 The Electrochemical Society, Inc. 3613 In general, all aqueous solutions containing hydroxides of other alkali metals, like LiOH, and CsOH (18) perform in a similar manner. Aqueous solutions of ammonium hydrox- ide (NH4OH), were also reported to etch anisotropically (19). The same type of solution with the addition of H202 is frequently employed for the cleaning of silicon wafers (20). More complicated derivatives of ammonium hydroxide, e.g., so-called quaternary ammonium hydroxides like tet- ramethyl ammonium hydroxide (N(CH3)4OH) and choline ((CH3)3N(CH2CH2OH)OH) can also be used as anisotropic etchants (21). General Considerations Solutions consisting of ethylenediamine, water, and py- rocatechol (EDP) are among the most widely employed. Many essential results concerning the composition of this system and its crystal orientation dependence were re- ported in the work done by Finne and Klein (2). They found that pyrocatechol can be omitted, so that in its most primitive form, the etchant solely consists of ethylenedia- mine and water. With nonaqueous ethylenediamine no etching was achieved, indicating that water is an active and necessary component. The maximal etch rate oc- curred at an ethylenediamine to water molar ratio of ap- proximately 1:2. By the addition of pyrocatechol, a strong increase of the etch rate by a factor of three was obtained, saturating at a concentration of approximately 4 mole per- cent (m/o). For the three main silicon crystal orientations <100>, <110>, and <111>, Finne and Klein found an etch rate ratio of 17:10:1. The effects of further additives were studied by Reisman et al. (22). They found that when exposing the EDP solu- tion to oxygen, 1,4-benzoquinone and other products are formed, leading to an increase of the etch rate and a darkening of the solution. This effect can be avoided by continuously purging the etching apparatus with an inert gas (2, 22). They also found that trace quantities of pyra- zine (C4H4N2) lead to an increase of the etch rate. However, similar to pyrocatechol, this effect nearly saturates at a concentration of 3g pyrazine per liter ethylenediamine. Since commercially available ethylenediamine usually contains an unknown trace amount of pyrazine, Reisman et al. (22) proposed to intentionally add enough pyrazine to the solution so that the saturation level is reached. For the ethylenediamine-water-pyrocatechol system several recipes were proposed. Reisman et al. developed two specific solutions optimized for use where either a high etch rate is required ("F"), or where slower etch rates and/or lower temperatures are desired ("S") (22). Their specific compositions are listed in Table I, together with a recipe used by Finne and Klein ("T") (2) and another one proposed by Bassous ("B") (23). For both solutions suggested by Reisman et al. (22) an activation energy of 0.36 eV on <100> silicon was found, which increased to 0.47 eV when no pyrazine was added. Furthermore, they determined an anlsotropy ratio for the <100>/<111> silicon etch rates of 19 and 13.5 with and without pyrazine, respectively. Finne and Klein were the first authors to publish reac- tion equations for the etching process (2). Based on a chemical analysis of the reaction products and on the ob- servation that hydrogen evolves during etching in a stoi- chiometric ratio of approximately 2 H2/Si, they proposed an oxidation-reduction step with hydroxide ions and water reacting with the silicon surface, followed by a che- lation stage involving pyrocatechol Si + 2(OH)- + 4H~O -~ Si(OH)6-- + 2H2 [1] Si(OH)6- + 3C6H4(OH)2---> Si(O2C6H03-- + 6H20 [2] They assumed the chelation to be the slow step, unless pyrocatechol was added at a concentration exceeding 4 mole percent (m/o). In that case they considered the oxida- tion reaction to be rate limiting. Pyrocatechol was as- sumed to act mainly as an agent to increase the solubility of the silicon compound, thus increasing the reaction rate. The above mentioned oxidation-reduction equation was used by several authors in later publications without Table I. Composition of different EDP solutions published by Finne and Klein (2), Reisman et al. (22), and Bassous (23) Type S (22) F (22) B (23) T (2) Water ml 133 320 320 470 ED 1 1.0 1.0 1.0 1.0 Pyrocatechol g 160 320 160 176 Pyrazine g 6 6 major modifications (22, 24). The gross reaction proposed in this equation does not provide an obvious explanation for the anisotropic behavior of the etchant. For this pur- pose it must be broken up into its fundamental reaction steps. It was noticed by several workers that residues might appear on the silicon surface. The occurrence of this phe- nomenon depends on the composition of the solution and on its saturation level with silicon. For EDP solutions, Reisman et al. (22) have found that this tendency increases with the water content of the solution. With respect to the aging of the solution, quantitative results were given by Wu et al. (25). They found that in a one liter solution (type F and type B) at a temperature of 100~ a maximum amount of 10g silicon can be etched without producing solid resi- dues. This value was slightly higher for the F etchant which was attributed to its larger content of pyrocatechol. A chemical analysis of the residues showed that they con- sisted mainly of SiO~ with additional trace amounts of re- action products. The work of Abu-Zeid et al. (26) showed that, for ethyl- enediamine-based solutions, the silicon etch rate can be in- creased considerably by stirring. They also showed that the etch rate depends on the effective silicon area being exposed to the solution and its geometry. An increase can be observed, when the area of the active region gets smaller. These results indicate that diffusion processes in- fluence the silicon dissolution rate considerably. For hydrazine water solutions a very similar behavior to the one observed in EDP solutions was found (3, 27, 28). At a temperature of 118~ an etch rate ratio of 16:9:1 for the {100}:{110}:{111} planes was determined, which is compa- rable to EDP (28). When underetching convex corners, (211) was identified as an etch bordering plane with a very high etch rate (3, 27). Among the inorganic solutions, the one most frequently used is based on KOH. The first detailed study on a ternary mixture of KOH, water, and isopropyl alcohol was given by Price in 1973 (17). His major observations were the fol- lowing: the maximal etch rate occurred at a KOH concen- tration of 10-15 weight percent (w/o) when no alcohol was added, and around 30% KOH with alcohol. In general, the addition of isopropyl alcohol leads to a decrease of the etch rate. On <100> silicon the activation energy was found to be between 0.52 and 0.69 eV. He found no effect of stirring on the etch rate, indicating that the reaction is not diffu- sion limited. Under optimum conditions, Price observed an etch rate ratio of 35:1 for the {100}/{111} crystal planes (17). A much higher anisotropy ratio of up to 500:1 for the <110> to <111> etch rates in a highly concentrated 55% KOH solution was reported by Kendall (29, 30). Further data on the etch rates of <110> and <111> silicon as well as SiO2 were given by Clark and Edell (31). For KOH solu- tions with a concentration between 9 and 54 w/o, they found the following ranges of activation energies: 0.6-0.8 eV for <110>, 0.4-0.9 eV for <111>, and 0.8-1.0 eV for SIO2. In a work done by Palik et al. (32) the etching process of KOH on silicon was monitored in situ by Raman spectros- copy. From these experiments the main reaction species was determined to be OH-. They proposed SiO2 (OH)z-- to be the primary etching product with subsequent polymer- ization. The following overall gross reaction was suggested by them (33) Si + 2H~O + 2 OH- --> Si(OH)202-- + 2H2 [3] From experiments done with isopropyl alcohol added to the KOH solution, they conclude that the alcohol does not
`
`Table l. Composition of different EDP solutions published by Finne
`and Klein (2), Reisman et al. (22), and Bussous (23)
`
`Type
`
`Water
`ED
`Pyrocatechol
`Pyrazine
`
`ml
`1
`g
`g
`
`S (22)
`
`133
`1.0
`160
`6
`
`F (22)
`
`320
`1,0
`320
`6
`
`B (23)
`
`320
`1.0
`160
`
`T (2)
`
`470
`1.0
`176
`
`major modifications (22, 24). The gross reaction proposed
`in this equation does not provide an obvious explanation
`for the anisotropic behavior of the etchant. For this pur-
`pose it must be broken up into its fundamental reaction
`steps.
`It was noticed by several workers that residues might
`appear on the silicon surface. The occurrence of this phe-
`nomenon depends on the composition of the solution and
`on its saturation level with silicon. For EDP solutions,
`Reisman et al. (22) have found that this tendency increases
`with the water content of the solution. With respect to the
`aging of the solution, quantitative results were given by
`Wu et al. (25). They found that in a one liter solution (type F
`and type B) at a temperature of 100°C a maximum amount
`of log silicon can be etched without producing solid resi-
`dues. This value was slightly higher for the F etchant
`which was attributed to its larger content of pyrocatechol.
`A chemicalanalysis of the residues showed that they con-
`sisted mainly of SiO2 with additional trace amounts of re-
`action products.
`The work of Abu—Zeid et al. (26) showed that, for ethyl-
`enediamine-based solutions, the silicon etch rate can be in-
`creased considerably by stirring. They also showed that
`the etch rate depends on the effective silicon area being
`exposed to the solution and its geometry. An increase can
`be observed, when the area of the active region gets
`smaller. These results indicate that diffusion processes in-
`fluence the silicon dissolution rate considerably.
`For hydrazine water solutions a very similar behavior to
`the one observed in EDP solutions was found (3, 27, 28). At
`a temperature of 118°C, an etch rate ratio of 16:9:1 for the
`{l00}:{1l0}:{111} planes was determined, which is compa-
`rable to EDP (28). When underetching convex corners,
`(211) was identified as an etch bordering plane with a very
`high etch rate (3, 27).
`Among the inorganic solutions, the one most frequently
`used is based on KOH. The first detailed study on a ternary
`mixture of KOH, water, and isopropyl alcohol was given
`by Price in 1973 (17). His major observations were the fol-
`lowing: the maximal etch rate occurred at a KOH concen-
`tration of 10-15 weight percent (w/0) when no alcohol was
`added, and around 30% KOH with alcohol. In general, the
`addition of isopropyl alcohol leads to a decrease of the etch
`rate. On <_100> silicon the activation energy was found to
`be between 0.52 and 0.69 eV. He found no effect of stirring
`on the etch rate, indicating that the reaction is not diffu-
`sion limited. Under optimum conditions, Price observed
`an etch rate ratio of 35:1 for the {100}/{I11} crystal planes
`(17). A much higher anisotropy ratio of up to 500:1 for_ the
`<110> to <111> etch rates in a highly concentrated 55%
`KOH solution was reported by Kendall (29,30). Further
`data on the etch rates of <110> and <111> silicon as well
`as SiO2 were given by Clark and Edell (31). For KOH solu-
`tions with a concentration between 9 and 54 w/o, they
`found the following ranges of activation energies: 0.6-0.8
`eV for <110>, 0.4-0.9 eV for <111>, and 0.8-1.0 eV for Slog.
`In a work done by Palik et al. (32) the etching process of
`KOH on silicon was monitored in situ by Raman spectros-
`copy. From these experiments the main reaction species
`was determined to be OH’. They proposed SiO2 (OH)2“ to
`be the primary etching product with subsequent polymer-
`ization. The following overall gross reaction was suggested
`by them (33)
`
`Si + 2H2O + 2 OH" —> Si(OH)20f‘ + 2H2
`
`[3]
`
`From experiments done with isopropyl alcohol added to
`the KOH solution, they conclude that the alcohol does not
`
`In general, all aqueous solutions containing hydroxides of
`other alkali metals, like LiOH, and CSOH (18) perform in a
`similar manner. Aqueous solutions of ammonium hydrox-
`ide (NH4OH), were also reported to etch anisotropically
`(19). The same type of solution with the addition of H202 is
`frequently employed for the cleaning of silicon wafers (20).
`More complicated derivatives of ammonium hydroxide,
`e.g., so-called quaternary ammonium hydroxides like tet-
`ramethyl ammonium hydroxide (N(CH3).,OH) and choline
`((CH3)3N(CH2CH-)OH)OH) can also be used as anisotropic
`etchants (21).
`
`General Considerations
`Solutions consisting of ethylenediamine, water, and py-
`rocatechol (EDP) are among the most widely employed.
`Many essential results concerning the composition of this
`system and its crystal orientation dependence were re-
`ported in the work done by Finne and Klein (2). They
`found that pyrocatechol can be omitted, so that in its most
`primitive form, the etchant solely consists of ethylenedia-
`mine and water. With nonaqueous ethylenediamine no
`etching was achieved, indicating that water is an active
`and necessary component. The maximal etch rate oc-
`curred at an ethylenediamine to water molar ratio of ap-
`proximately 1:2. By the addition of pyrocatechol, a strong
`increase of the etch rate by a factor of three was obtained,
`saturating at a concentration of approximately 4 mole per-
`cent (m/o). For the three main silicon crystal orientations
`<100>, <110>, and <111>, Finne and Klein found an etch
`rate ratio of l7:10:1.
`The effects of further additives were studied by Reisman
`et al. (22). They found that when exposing the EDP solu-
`tion to oxygen, 1,4-benzoquinone and other products are
`formed, leading to an increase of the etch rate and a
`darkening of the solution. This effect can be avoided by
`continuously purging the etching apparatus with an inert
`gas (2, 22). They also found that trace quantities of pyra-
`zine (C.,H4N2) lead to an increase of the etch rate. However,
`similar to pyrocatechol, this effect nearly saturates at a
`concentration of 3g pyrazine per liter ethylenediaminc.
`Since commercially available ethylenediamine usually
`contains an unknown trace amount of pyrazine, Reisman
`et al. (22) proposed to intentionally add enough pyrazine to
`the solution so that the saturation level is reached.
`system
`For
`the ethylenediamine-water-pyrocatechol
`. several recipes were proposed. Reisman et al. developed
`two specific solutions optimized for use where either a
`high etch rate is required (“F”), or where slower etch rates
`and/or lower temperatures are desired (“S”) (22). Their
`specific compositions are listed in Table I, together with a
`recipe used by Finne and Klein (“T”) (2) and another one
`proposed by Bassous (“B”) (23).
`For both solutions suggested by Reisman et al. (22) an
`activation energy of 0.36 eV on <100> silicon was found,
`which increased to 0.47 eV when no pyrazine was added.
`Furthermore, they determined an anisotropy ratio for the
`<100>/<111> silicon etch rates of 19 and 13.5 with and
`without pyrazine, respectively.
`Finne and Klein were the first authors to publish reac-
`tion equations for the etching process (2). Based on a
`chemical analysis of the reaction products and on the ob-
`servation that hydrogen evolves during etching in a stoi-
`chiometric ratio of approximately 2 H,’Si, they proposed
`an oxidation-reduction step with hydroxide ions and
`water reacting with the silicon surface, followed by a che-
`lation stage involving pyrocatechol
`
`Si + 2(OH)‘ + 4HzO—> Si(OH)s“ + 2H;
`
`[1]
`
`Si(OH)5" + 3C6H4(OH)2—> Si(O2C.~,H4)_-f‘ + 6H2O [2]
`
`They assumed the chelation to be the slow step, unless
`pyrocatechol was added at a concentration exceeding 4
`mole percent (m/0). In that case they considered the oxida-
`tion reaction to be rate limiting. Pyrocatechol was as-
`sumed to act mainly as an agent to increase the solubility
`of the silicon compound, thus increasing the reaction rate.
`The above mentioned oxidation-reduction equation was
`used by several authors in later publications without
`
`2
`
`
`
`3614 J. Electrochem. Soc., Vol. 137, No. 11, November 1990 (cid:14)9 The Electrochemical Society, Inc. participate chemically in the reaction. In a later work (34), Palik et al. included energy level considerations, stating that the etching reaction transfers an electron from OH- into the silicon surface bond and then back to the etch products. A more detailed break down of the reaction equations, including the transfer of charge was suggested by Raley et al. (24). They assumed that four electrons are injected into the conduction band by an initial oxidation reaction, which are later consumed in a reduction step Si + 2 OH- --> Si(OH)2 ++ + 4e- [4] Si(OH)2 ++ + 4e- + 4H20 ~ Si(OH)6-- + 2H2 [5] In the literature published to date several attempts were undertaken to explain the anisotropic behavior of these etchants. Price indicated that a correlation between the available bond density of different crystal planes and the etch rate could exist (17). However, it is difficult to explain etch rate ratios of about 100:1 when the bond density only varies by a factor of two. Another proposal was made by Kendall who argues that {111} planes get oxidized more rapidly than others and therefore could be covered with a thin oxide layer immediately after immersion into the etchant (29). Palik et al. assume that the anisotropy might be attributable to differences in activation energies and in backbond geometries on different surfaces (33). In this paper, experimental results on the orientation de- pendence of the silicon etch rate for several solutions as a function of composition and temperature will be given. An attempt will be made to give a model valid for all anisotro- pic silicon etchants, explaining the underlying mecha- nism. Furthermore, results on the etch behavior of the most widely used passivation layers SiO2 and Si3N4 will be reported. The effects of dopants on the silicon etch rate will be dis- cussed in an accompanying paper (35). Experimental In the experiments, n- and p-type Czochralski grown 3 in. wafers with <100> and <110> orientation were used. The resistivity was 1-10 ~-cm, corresponding to an impur- ity concentration of approximately 1 - 1015 - 1 (cid:12)9 1016 cm -3. For passivation, these wafers were either thermally oxi- dized or a CVD silicon nitride layer was deposited. In order to obtain detailed data on the crystal orientation dependence of the etch rate, a fan shaped or wagon wheel shaped masking pattern was employed, consisting of radi- ally divergent segments with an angular separation of one degree (36-40). This pattern was transferred to the passiva- tion layer. Thus, alternating segments of bare silicon and regions covered with silicon dioxide or silicon nitride were obtained. The size of a chip containing one such pattern was 16 (cid:12)9 16 mm 2. In order to achieve a more accurate angu- lar resolution, particularly in the neighborhood of {111} planes, where the etch rate is a very sensitive function of the angular orientation, a second pattern with segments and spaces differing by an angle of 0.1 ~ and with a total an- gular spread of 4 ~ was used. For etch rate studies on passivation layers, wafers covered with thermal SiO2 (1000~ wet), CVD-SiQ (Sill4, N20, 800 ~ and 900~ and CVD-Si3N4 (Sill4 and NH3, 900~ were prepared and diced to the same chip size mentioned above. The samples were etched in an oil-heated, double-walled glass vessel. The temperature was varied between 20 ~ and 115~ and was controlled with an accuracy of -+0.2~ In order to keep the composition of the etchant constant, the vapors were recondensed in a water cooled reflux con- denser. In the case of EDP solutions, an additional nitro- gen purge was applied, in order to prevent changes of the etch properties due to contact with atmospheric oxygen (2, 12). The inorganic etchants employed in the experiments were KOH, NaOH, and LiOH with concentrations in the range of 10-60, 24, and 10%, respectively, where all values are in weight percent. In some experiments, isopropy] al- cohol was added to a 20% KOH solution according to the following recipe: 1 liter H20, 312g KOH, 250 ml isopropyl alcohol. The only organic etchants used were EDP solu- tions, among which a composition type "S" introduced by Reisman et al. was employed most frequently (Table I). This choice was made because it is applicable in a wide temperature range which is important for obtaining reli- able data on activation energies. After etching the chips masked with a wagon wheel pat- tern, a blossom-like figure developed. This phenomenon is due to the total underetching of the passivation layer in the vicinity of the chip center, leaving an area of bare exposed silicon. The radial extension of this area depends on the crystal orientation of the individual segments, leading to a different amount of lateral underetching. The pattern de- veloped on a <100> test sample etched in an EDP solution is shown in Fig. 1. Visual inspection of such blossom-like patterns was only used for a qualitative evaluation of the anisotropy. In order to obtain quantitative results, the lateral etch rates were determined by measuring the width w of the overhanging passivation layer with an optical linewidth measurement system (LEITZ Latimet). This is illustrated in Fig. 2, show- ing a schematic cross section of the test chip after etching. Additionally, the depth d of the etch grooves and the orien- tation of the etch bordering planes were determined by means of a mechanical stylus profiler and laser reflection methods, respectively (41). Similar measurements were performed on chips with the 0.1 ~ pattern. Fo~ determining the etch rate of the passivation layers, their thicknesses were measured by ellipsometry before and after etching. Results Morphology of the etched silicon surfaces.--After etching a partially masked silicon surface, two regions of interest arise. One is the bottom surface obtained from vertical etching, the other consists of the laterally under-etched sidewalls developing along the edges of a masking pattern. When using EDP solutions, the surfaces generally tend to be quite smooth, particularly on etched bottom surfaces of <100> wafers. Also, the laterally under-etched sidewalls of the passivated segments are generally smooth. How- ever, as indicated in Fig. 3, a certain waviness can be ob- served on fast etching sidewall crystal planes. On etched surfaces of < 110> wafers with relatively large areas exposed to the etchant, a linearly textured structure develops which can be recognized with the naked eye. When viewed under a scanning electron microscope, as shown in Fig. 4, these textured surfaces appear to be bounded by well-defined, slanted crystal planes. As has been observed in numerous previous studies, {111} crystal planes form perfectly smooth lateral side- walls, both on <100> and on <110> wafers, and for all etchants investigated (5, 6). In case of alkaline etchants like KOH, the vertically etched bottom surfaces of <100> and <110> wafers turn out to be relatively smooth. However, when using a solu- Fig. 1. Etch pattern emerging on a masked test wafer with the orien- tation <100> after etching in an EDP solution type S. The residual oxide at the center is due to the finite resolution of the mask.
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`3
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`J. Electrochem. Soc., Vol. 137, No. 11, November 1990 © The Electrochemical Society, Inc.
`
`laser beam
`reflection
`
`Fig. 2. Schematic cross section of a silicon test chip covered with a
`star-shaped masking pattern after etching.
`
`tion of low concentration (below 30%), a tendency for the
`fomiation of pyramids can be observed on <l00> wafers.
`The laterally underetched sidewalls of the masked seg-
`ments generally appear to be fragmented, as demonstrated
`in the micrographs of a <ll0> wafer shown in Fig. 5a and
`b. Both pictures show a steep-walled mesa rising over a
`more gently sloped shoulder. Within this formation
`patches with smooth {l 11} surfaces can be observed. They
`are surrounded by jagged surfaces which could not be
`identified as any particular crystal plane.
`Etch limiting crystal pZanes.—By means of laser reflec-
`tion measurements, as indicated in Fig. 2, the crystal orien-
`tation of the planes bounding the laterally underetched
`segments was determined for the case of EDP etchants.
`These planes are shown in Fig. 6 for <l00> and <1 10> wa-
`fers in the form of stereographic projection diagrams. For
`both wafer orientations they can be characterized by the
`Miller indexes {hhk} where h and 1c are integers with h 2 lc.
`This was found for all EDP compositions and tempera-
`tures applied.
`As mentioned above and indicated in Fig. 4, a linearly
`textured structure develops on bottom surfaces of etched
`<ll0> wafers. The crystal orientation on the long steps in
`this texture was found to be close to {33l}. On the basis of
`these results, it is surprising to observe the formation of
`smooth, laterally underetched {I10} surfaces on <l00>
`wafers, when using EDP solutions. A similar surprise is
`the formation of smooth, flat-etched bottoms when etch-
`ing narrow grooves bounded by vertical {lll} planes on
`<ll0> wafers. This phenomenon is probably attributable
`to the different geometrical situation of a flat, large sur-
`face, as compared to a small sidewall bounded by concave
`corners.
`For silicon surfaces etched by KOH, the resulting crys-
`tallography depends on the composition of the etchant.
`Furthermore, as mentioned above, only a limited number
`of crystal planes can be identified. For relatively high KOH
`
`J. Electrochem. Soc., Vol. 137, No. 11, November 1990 (cid:14)9 The Electrochemical Society, Inc. 3615 Fig. 2. Schematic cross section of a silicon test chip covered with a star-shaped masking pattern after etching. tion of low concentration (below 30%), a tendency for the formation of pyramids can be observed on <100> wafers. The laterally underetched sidewalls of the masked seg- ments generally appear to be fragmented, as demonstrated in the micrographs of a <110> wafer shown in Fig. 5a and b. Both pictures show a steep-walled mesa rising over a more gently sloped shoulder. Within this formation patches with smooth {111} surfaces can be observed. They are surrounded by jagged surfaces which could not be identified as any particular crystal plane. Etch limiting crystal planes.--By means of laser reflec- tion measurements, as indicated in Fig. 2, the crystal orien- tation of the planes bounding the laterally underetched segments was determined for the case of EDP etchants. These planes are shown in Fig. 6 for <100> and <110> wa- fers in the form of stereographic projection diagrams. For both wafer orientations they can be characterized by the Miller indexes {hhk} where h and k are integers with h -> k. This was found for all EDP compositions and tempera- tures applied. As mentioned above and indicated in Fig. 4, a linearly textured structure develops on bottom surfaces of etched <110> wafers. The crystal orientation on the long steps in this texture was found to be close to {331}. On the basis of these results, it is surprising to observe the formation of sm