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Japanese Journal of Applied Physics Vol. 43, No. 12, 2004, pp. 8242–8247 #2004 The Japan Society of Applied Physics Reaction of Hydrogen-Desorbed Si(100) Surfaces with Water during Heating and Cooling Shinichi U RABE, Kazuo N ISHIMURA, Satoru M ORITA and Mizuho M ORITA Department of Precision Science and Technology, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan (Received June 11, 2004; accepted September 10, 2004; published December 9, 2004) The reaction of hydrogen-terminated Si(100) surfaces with water during heating is analyzed using a combination of heating and cooling in thermal desorption spectroscopy. The reaction of the Si surface with water after hydrogen desorption is observed even at about 400 C at a low concentration of water molecules. An estimation method of surface hydrogen coverage by the combined measurement is proposed and the surface coverage as a function of temperature is estimated for quantitative understanding of hydrogen desorption and the subsequent reaction during heating. The combined measurement in thermal desorption spectroscopy is useful for revealing the reaction after hydrogen desorption during heating and for estimating the surface coverage. [DOI: 10.1143/JJAP.43.8242] KEYWORDS: silicon, surface, hydrogen, water, reaction, thermal desorption spectroscopy, temperature-programmed desorption Introduction Ultrathin silicon dioxide (SiO2 ) films with high electrical insulating performance and high reliability are continuously demanded to realize ultrasmall metal-oxide-semiconductor field-effect transistors for gigascale integrated chips. It is essential to control the silicon (Si) surface condition during the temperature ramp-up process in order to form highperformance ultrathin SiO2 films.1–3) The dielectric breakdown characteristics of SiO2 films have been reported to depend on the heating condition.4–6) Therefore, it is very important to analyze the Si surface during the temperature ramp-up process or Si surfaces at elevated temperatures immediately before thermal oxidation. Thermal desorption spectroscopy (TDS) (or temperatureprogrammed desorption) has been widely used to analyze surface conditions of Si wafers after wet cleaning.7–10) TDS also is useful as an in situ characterization tool of the chemical reactions of Si surfaces with oxygen or water.9) TDS has been applied to analyze oxidation reactions of hydrogen-terminated Si(100) surfaces in both heating and cooling processes after hydrogen desorption.11) In this paper, we discuss the reaction of hydrogenterminated Si(100) surfaces with water at elevated temperatures based on the TDS results obtained by a combination of heating and cooling. We also propose a method of estimating the surface hydrogen coverage from the desorption spectra obtained by combined measurements and actually estimate the surface coverage as a function of temperature from the TDS results. 2. temperature and 1000 C with a linear change of the sample temperature with time at a heating and cooling rate of 0.5 C/s (30 C/min). The base pressure was less than 4 107 Pa (3 109 Torr) immediately before the TDS measurement. The temperature was calibrated with a thermocouple-instrumented Si chip (SensArray).14) The pumping speed (S) of the turbomolecular pump and the volume (V) of the analysis chamber in the TDS system are 400 l/s and about 7 l, respectively. The characteristic pumping time ( ¼ V=S) is calculated to be about 0.02 s. For example, the total sweep time from 50 to 1000 C at the heating rate of 0.5 C/s is 1900 s. The total sweep time is much longer than the characteristic pumping time under this TDS measurement condition. Thus, it can be approximated that the desorption rate is proportional to pressure.15) 3. Figure 1 shows the thermal desorption spectra of hydrogen and water from the HF-cleaned Si(100) surface during heating to 1000 C and subsequent cooling. The ion intensities of atomic and molecular oxygen were of the order of 1013 A or lower than 1013 A under this TDS measurement condition. The hydrogen spectrum has peaks at about 400 and 510 C during heating. This indicates that a hydrogen-terminated Si(100) surface was prepared as the Experimental The wafers used in these experiments were Czochralski growth, boron-doped p-type Si(100) wafers with a resistivity of 8–10 cm. Wafers with a thickness of 0.625 mm were cut to the area of 10 mm 10 mm. The samples were chemically cleaned with an H2 SO4 /H2 O2 solution and ultrapure water with 5 ppm ozone,12) etched with diluted HF solution, rinsed with ultrapure water, and then dried by blowing nitrogen gas. The sample was loaded into the TDS system (ESCO, EMD-WA1000S) within 1 min after blowing nitrogen gas.13) The thermal desorption spectra of hydrogen (mass number M=e ¼ 2) and water (18) were measured between room Results ION INTENSITY (A) 1. 10−10 H2 H2O 10 −11 0 200 400 600 800 1000 TEMPERATURE (°C) Fig. 1. Thermal desorption spectra of hydrogen and water from hydrogenterminated Si(100) surface during heating to 1000 C and subsequent cooling. The solid and broken lines denote the spectra measured during heating and cooling, respectively. 8242 Jpn. J. Appl. Phys., Vol. 43, No. 12 (2004) S. URABE et al. ION INTENSITY (A) −10 10 H2 −11 10 H2O 0 200 400 600 800 1000 TEMPERATURE (°C) Fig. 2. Thermal desorption spectra of hydrogen and water from the inner wall of the TDS analysis chamber during heating and subsequent cooling. The solid and broken lines denote the spectra measured during heating and cooling, respectively. sample.9) The water spectrum has humps at about 370 and 740 C during heating. This may indicate that the reaction of the hydrogen-terminated Si(100) surface with water begins to occur at those temperatures.9) Figure 2 shows the thermal desorption spectra of hydrogen and water from the inner wall of the TDS analysis chamber. These spectra were measured under the condition that no Si sample was set on the quartz sample stage in the chamber. In the TDS system, the infrared lamp for heating the sample on the stage was positioned below the stage and the stage temperature was read with the thermocouple mounted in the sample stage. The horizontal axis of Fig. 2 indicates the apparent temperature that was calculated from the stage temperature using the calibration data obtained from a thermocouple-instrumental Si chip. The maximum apparent temperature does not reach 1000 C in Fig. 2, although the Si sample temperature calculated using the same stage temperature reaches about 1000 C in Fig. 1. It is considered that the lamp power became the maximum because the light intensity under the no-sample condition must be higher than that under the sample-set condition for the same sample stage temperature in the TDS system. Under the no-sample condition, one zone in the top flange of the stainless-steel chamber was heated by irradiating light through the quartz sample stage from the lamp. Thus the spectra shown in Fig. 2 are not precisely the background of the spectra in Fig. 1, because the temperature of the lightirradiated zone of the chamber under the no-sample condition might be higher than that under the sample-set condition, and the light intensity might be different between the apparent temperature under the no-sample condition and the Si sample temperature under the sample-set condition for the same sample stage temperature. However, the spectra in Fig. 2 are helpful for understanding the desorption of hydrogen and water from the inner wall. In Fig. 2, the hydrogen and water ion intensities during heating begin to increase at about 800 C. The increase is also observed in Fig. 1. The hydrogen intensity during cooling first decreases, begins to increase at about 900 C, and then decreases at around 600 C, although the hydrogen intensity monotonically decreases under the sample-set 8243 condition in Fig. 1. The water intensity during cooling first increases and then begins to decrease at about 950 C under the no-sample condition and at about 900 C under the sample-set condition in Fig. 1. The increases of the hydrogen and water intensities during cooling are considered to be due to the inner wall, which is positioned outside the lightirradiated zone, being slowly heated by thermal conduction from that zone. The hydrogen and water intensities during cooling do not coincide with those during heating, even at about 100 C in Figs. 1 and 2. It is considered that the inner wall did not cooled down quickly. Thus the contribution of hydrogen and water desorption from the inner wall to the spectra in Fig. 1 can be elucidated from the result in Fig. 2. Figures 3(a) to 3(d) show thermal desorption spectra of hydrogen and water from the hydrogen-terminated Si(100) surface during heating to 300, 400, 500 and 600 C, respectively, followed by cooling to 100 C, and subsequent heating to 1000 C. The thinner lines denote the spectra measured during simple heating to 1000 C (as shown in Fig. 1). In Fig. 3(a), the hydrogen spectrum for the heating/ cooling combination nearly overlaps that of simple heating. The water intensity between 100 and 300 C during cooling and the second heating stage is slightly lower than that during the first heating stage. Comparison of this result with the water desorption spectrum measured during heating to about 300 C followed by cooling to about 100 C and subsequent heating to about 1000 C under the no-sample condition could not clarify whether the reaction of the Si(100) surface with water took place after hydrogen desorption even at 300 C where the increase of hydrogen intensity during heating was small. A decrease of water intensity during cooling in the spectral result measured during the cycle of heating to 200 C, cooling to 100 C and subsequent heating to 1000 C, was not observed under this TDS measurement condition. In Fig. 3(b), the hydrogen spectrum in the first heating stage of the combined method overlaps with that for simple heating. The height of the hydrogen peak at about 400 C in the second heating stage is lower than that in simple heating. The water intensity between 100 and 400 C during cooling and the second heating stage is lower than that in the first heating stage. These suggest that the Si surface sites after hydrogen desorption react with water molecules. It is considered that some hydrogen-desorbed sites in the Si surface remain after the first heating stage and so the reaction continues during cooling and the second heating stage to about 450 C, because the concentration of water molecules is low in the analysis chamber.11) The water intensity between 100 and 500 C during cooling and the second heating stage is much lower than that during the first heating stage, as shown in Fig. 3(c). In the second heating stage, a hydrogen peak is not observed at about 400 C and the hydrogen peak height at about 510 C is lower than that during simple heating. The hydrogen peak height at about 510 C in the second heating stage when the first heating stage was to 600 C is lower than that when the first heating stage was to 500 C, as shown in Figs. 3(c) and 3(d). These results suggest that the surface concentration of hydrogen-desorbed sites that can react with water is higher when the sample is heated to higher temperatures in the first heating stage. 8244 Jpn. J. Appl. Phys., Vol. 43, No. 12 (2004) S. URABE et al. −10 ION INTENSITY (A) ION INTENSITY (A) −10 10 H2 −11 10 H2O 0 200 400 600 800 10 H2 −11 10 H2O 1000 0 200 TEMPERATURE (°C) 400 (a) ION INTENSITY (A) ION INTENSITY (A) −10 H2 −11 10 H2O 200 400 800 1000 (b) 10 0 600 TEMPERATURE (°C) 600 800 −10 10 H2 −11 10 H2O 1000 0 200 TEMPERATURE (°C) 400 600 800 1000 TEMPERATURE (°C) (c) (d) 4. Discussion Figure 4 shows the thermal desorption spectrum of hydrogen from the hydrogen-terminated Si(100) surface during heating to 500 C, cooling to 100 C and subsequent heating to 1000 C. The hydrogen intensity is plotted on a linear scale. This spectrum was obtained by subtracting the minimum intensity from the hydrogen spectrum shown in Fig. 3(c). The removal of the horizontal baseline is a crude and convenient technique for visual improvement of a spectrum. The first heating curve h1 contains two overlapping peaks, while the second curve h2 has one peak. This suggests that the data may be analyzed by subtracting one heating curve from the other in the spectrum. The proper application of subtraction requires that the curves be adjusted such that the intensities are the same at appropriate temperature. A normalization factor is defined as the ratio of the curve h1 intensity to the curve h2 intensity at the 1.0 -10 In Figs. 3(b) to 3(d), the water intensity begins to decrease at about 370 C during first heating stage and continually decreases during cooling. Therefore, it can be concluded that the combination method is effective for revealing the reaction of the Si surface with water at a low concentration of water molecules. ION INTENSITY ( 10 A) Fig. 3. Thermal desorption spectra of hydrogen and water from hydrogen-terminated Si(100) surfaces during heating to (a) 300 C, (b) 400 C, (c) 500 C and (d) 600 C, followed by cooling to 100 C and subsequent heating to 1000 C. The thinner lines denote the spectra measured during simple heating to 1000 C. H2 0.5 h1 c1 h2 0.0 0 200 400 600 800 1000 TEMPERATURE (°C) Fig. 4. Thermal desorption spectrum of hydrogen from hydrogen-terminated Si(100) surface during heating to 500 C, cooling to 100 C and subsequent heating to 1000 C. The broken line denotes the curve measured during cooling. The hydrogen intensity is plotted on a linear scale. maximum temperature of curve h1, which in this case is 500 C. This normalization requires that all the intensities in curve h2 is multiplied by the factor before the difference spectrum is calculated. 1.0 S. URABE et al. ION INTENSITY ( 10 -10A) -10 ION INTENSITY ( 10 A) Jpn. J. Appl. Phys., Vol. 43, No. 12 (2004) H2 0.5 0.0 0 200 400 600 800 1000 TEMPERATURE (°C) ION INTENSITY ( 10 -10 A) 1.0 H2 0.5 h1 c1 h2s 0 200 400 600 h2 800 H2 0.5 0.0 0 200 400 600 800 1000 TEMPERATURE (°C) Fig. 5. Hydrogen desorption peak at about 400 C. 0.0 1.0 8245 1000 TEMPERATURE (°C) Fig. 6. Thermal desorption spectrum of hydrogen from hydrogen-terminated Si(100) surface during heating to 800 C, cooling to 100 C and subsequent heating to 1000 C. The broken line denotes the curve measured during cooling. The thinner solid line denotes a fitted linear background. The hydrogen intensity is plotted on a linear scale. Figure 5 shows the hydrogen desorption peak at about 400 C. This is the difference spectrum obtained by the subtraction of normalized curve h2 from curve h1 in Fig. 4. The hydrogen intensity rises at about 370 C on the lowtemperature side of the peak. The difference spectrum reflects only the marked increase of hydrogen intensity in the simple heating spectrum shown in Fig. 1. Figure 6 shows the thermal desorption spectrum of hydrogen from the hydrogen-terminated Si(100) surface during heating to 800 C, cooling to 100 C and subsequent heating to 1000 C. This is the spectrum after the removal of the horizontal baseline. The second heating curve h2 nearly overlaps the first curve h1 at about 100 and 800 C. This supports the idea that the second heating curve h2 can be considered to be the background of the first curve h1 at any point because the spectrum was continuously measured. No hydrogen peak is observed at about 510 C during heating in the spectra in Fig. 2, or was also observed in the second heating curve of the spectrum measured during heating to about 800 C, cooling to about 100 C, and subsequent heating to about 1000 C under the no-sample condition. These results indicate that the peak at about 510 C in curve h2 in Fig. 6 is not due to the desorption of hydrogen from the Fig. 7. Difference spectrum for hydrogen desorption. inner wall of the analysis chamber. A small peak at about 510 C in curve h2 is suspected to be due to the desorption of hydrogen remaining on the Si surface, hydrogen in nonvolatile silicon oxide formed by the reaction of Si with water during the first heating stage and subsequent cooling, or hydrogen from the hydrogen-terminated the Si surface formed by the reaction of hydrogen-desorbed sites with hydrogen or water molecules in the analysis chamber during cooling. Thus curve h2 for the second heating stage cannot be considered to be background of the first curve h1. The hydrogen intensity during heating changes linearly with temperature within the region around 510 C in Fig. 2. This suggests that a linear background, drawn as a straight line between the first and last sets of data points on the curve, is more suitable for the background of the first curve h1. The fitted linear background drawn between suitably chosen points at 457 and 576 C is illustrated in Fig. 6. Therefore, it can be considered that curve h2s synthesized with the linear background and the second heating curve, except for the peak at around 510 C, approximates to the background of the first curve h1. Figure 7 shows the difference spectrum for hydrogen desorption. This is obtained by subtracting the synthesized curve h2s from h1 in Fig. 6. From a comparison of the peaks shown in Fig. 7 and the peak shown in Fig. 5, the desorption peak at about 510 C can be expected to be obtained by the subtraction method. The normalization factor can be obtained as a ratio of the intensity in Fig. 7 to that in Fig. 5, at or near the temperature that gives the maximum intensity in Fig. 5. Figure 8 shows the hydrogen desorption peak at about 510 C. This is a residual peak after removing the normalized curve in Fig. 5 from the curve in Fig. 7. Thus peak splitting can be achieved by the subtraction of spectra. From the separated peaks shown in Figs. 5 and 8, the surface coverage can be estimated by calculating the area of the peak. The normalized surface coverage is given by15) Z tc Z tc ¼ Ndt= Ndt; 0 t 0 where is the surface coverage at temperature T, 0 is the initial surface coverage, N is the rate of desorption from a unit surface area, t is the time at T, and tc is the time when desorption is essentially complete. Jpn. J. Appl. Phys., Vol. 43, No. 12 (2004) ION INTENSITY ( 10 -10 A) 8246 1.0 S. URABE et al. H2 0.5 0.0 0 200 400 600 800 1000 TEMPERATURE (°C) NORMALIZED COVERAGE Fig. 8. Hydrogen desorption peak at about 510 C. 1.0 0.8 0.6 0.4 0.2 0.0 0 200 400 600 800 1000 TEMPERATURE (°C) NORMALIZED UNCOVERAGE 1.0 0.8 0.6 0.4 0.2 0 200 400 600 800 5. Conclusions We proposed a combined method of heating and cooling in thermal desorption spectroscopy to reveal the reaction of the Si surface with water after hydrogen desorption during heating and to estimate the surface coverage or uncoverage. The successive decrease of water intensity in the spectrum, which indicates the reaction of the Si surface with water after hydrogen desorption, was observed even at about 400 C at a low concentration of water molecules. The surface coverage or uncoverage as a function of temperature was estimated from the hydrogen desorption spectra obtained by combined measurements. The combined method is useful for analyzing the hydrogen desorption and the subsequent reaction during heating in various oxidation or deposition processes. (a) 0.0 where I is the desorption intensity, T0 is the temperature at the start of the sweep, and Tc is the temperature when desorption is essentially complete. Figure 9 shows the normalized surface coverage and uncoverage as a function of temperature. The surface uncoverage is defined as 0 and the normalized one is 1 =0 . The coverage or uncoverage changes at around 400 and 510 C, which reflect only the marked increase of hydrogen intensity in the simple heating spectrum, are calculated from the peaks shown in Figs. 5 and 8, respectively. Thus the surface coverage of the desorbing phases can be estimated from the desorption spectra measured with the combination of heating and cooling. The surface coverage change provides quantitative information to the hydrogen desorption model proposed previously.9) Almost half the hydrogen of SiH2 in the hydrogen-terminated Si(100) surface desorbs and the surface changes to SiH at around 400 C. Then the hydrogen of SiH desorbs at around 510 C. The surface uncoverage corresponds to the surface concentration of hydrogen-desorbed sites. It can be inferred from the surface uncoverage change shown in Fig. 9(b) that the successive decrease of water intensity, which begins at about 370 C in Figs. 3(b) to 3(d), is observed at a low concentration of water molecules. The surface uncoverage may provide the surface concentration of sites oxidized by water or oxygen molecules at a high concentration of water or oxygen molecules. This result can make an important contribution to the understanding and control of the thermal oxidation of the Si surface during heating.4–6) 1000 TEMPERATURE (°C) (b) Fig. 9. (a) Normalized surface coverage and (b) normalized surface uncoverage as a function of temperature. When the temperature is varied in a linear fashion with time and the sweep duration is long compared with the characteristic pumping time, the normalized surface coverage may be obtained from Z Tc Z Tc ¼ IdT= IdT; 0 T T0 Acknowledgments This work was carried out at the Ultra Clean Room of the Ultra Precision Machining Research Center, Osaka University. This work was partially supported by Grants-inAid for Scientific Research (No. 14350166, No. 13555007, No. 13875012, No. 08CE2004) from the Ministry of Education, Culture, Sports, Science and Technology and Japan Society for the Promotion of Science. 1) M. Morita and T. Ohmi: Mater. Res. Soc. Symp. Proc. 259 (1992) 19. 2) M. Morita and T. Ohmi: The Physics and Chemistry of SiO2 and the Si-SiO2 Interface 2, eds. C. R. Helms and B. E. Deal (Plenum, New York, 1993) p. 199. 3) M. Morita and T. Ohmi: Jpn. J. Appl. Phys. 33 (1994) 370. 4) M. Offenberg, M. Liehr, G. W. Rubloff and K. Holloway: Appl. Phys. Jpn. J. Appl. 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