Quantitative determination method of chemicals for processing semiconductor and an apparatus thereof

Abstract: The present invention relates to a quantitative determination method of a medicament for processing semiconductor by near-infrared spectrometry at 800 - 1400 nm and an apparatus which is adapted to the practice of said method. According to the present invention, concentration of an aqueous solution of the medicament can be determined without drawbacks of the prior methods.

Description: The present invention relates to a method for processing a semiconductor with an aqueous solution whose chemical concentrations are measured by analysis of the chemicals by near-infrared spectrometry at 800 - 1400 nm and an apparatus therefor. In a field of semiconductor, it is a problem to be solved to determine a concentration of an aqueous solution of the chemicals for processing semiconductor by an accurate, easy and rapid method. With respect to treating chemicals such as acids (sulfuric acid, hydrochloric acid, nitric acid, hydrofluoric acid and the like), alkaline solutions (aqueous solution of ammonium and the like), solution of redox material (aqueous solution of hydrogen peroxide and the like) and the like which are used in a washing process of silicon wafer, photoetching process and the like, automation of chemical analysis and supply of the treating chemicals is required from viewpoints of yield increase of product, safety, working efficiency and the like. Heretofore, titration method, electrolysis method at constant potential and analytical method using an electrode such as redox electrode, electrode for selecting ions and the like are employed for this purpose. However, the concentration cannot be determined in a short time by the titration method; stable measurement cannot be carried out for a long time by the electrolysis method because surfaces of electrodes are contaminated and temperature of sample to be determined is changed during measurement; it is necessary for the said method not only to adjust the concentration and pH of the sample to suitable ranges but also to add a standard into the sample. According to a method disclosed in Japanese Patent Publication (Kokai) No. 60729/1985, concentrations of hydrogen peroxide and ammonia in a cleaning solution in a cell for photo absorption measurement can be measured continuously and automatically. The method comprises converting light emanated from an utraviolet light source and an infrared light source into interrupted light by a chopper, irradiating the cell with the interrupted light through mirrors to generate acoustic signals of a strength corresponding to the concentrations in the cleaning solution, converting the acoustic signals into electric signals by a piezo-electric element to input the electric signals in a lock in amplifier, inputting the output of the lock in amplifier in a computer through an interface computing the concentrations from the input of the amplifier, and comparing the computed concentration values with the respective concentration setpoint respectively. The review by E. Stark and K. Luchter, (APPLIED SPECTROSCOPY REVIEWS, 22(4), 335-399, (1986)) teaches that near-infrared spectrometry can be used generally for an analysis of inorganics including hydrogen peroxide and the like. An essential object of the present invention is to provide a method for determining a concentration of an aqueous solution of the chemicals for processing semiconductor accurately, easily and rapidly without aforementioned drawbacks of the prior methods. According to the present invention, there is provided a method for processing a semiconductor with an aqueous solution whose chemical concentrations are measured by measuring a near-infrared spectrum at 800 - 1400 nm of an aqueous solution of the chemicals of which concentrations are known, obtaining absorbances at wavelengthes at which significant differences of absorption bands between said spectrum and a near-infrared spectrum of pure water at 800 - 1400 nm are given, deriving a following calibration equation (I) from regression analysis of a relation between said concentration and absorbance, and determining a concentration of chemicals sample by using the calibration equation (I): C = Σα i A i (I) where C is the concentration of the chemicals sample, A i is absorbance at λ i whereat said absorption bands is given, α i is constant determined by kind of the chemicals, λ i and numbers of λ i which are used in order to derive the calibration equation (I). Fig. 1 schematically illustrates an apparatus which is adapted to the practice of the above-mentioned method of the present invention. Fig. 2 - Fig. 7 are graphs which show correlations between reference concentrations of various samples and predicted concentrations of the samples obtained by means of the calibration equation (I). Fig. 8 and Fig. 9 are near-infrared spectra of NH₄OH-H₂O₂-H₂O system. Fig. 10 and Fig. 11 are near-infrared spectra of H₂SO₄-H₂O₂-H₂O system. The above-mentioned quantitative method is essentially differs from hitherto generally used quantitative method wherein concentration of sample is determined based on infrared characteristic absorption. Inorganic electrolytes such as acids, alkalis, salts and the like dissociate into positive and negative ions in their aqueous solutions. Negative side of water dipole is oriented to surroundings of the positive ions and positive side of water dipole is oriented to surroundings of negative ions (ionic hydration). Bonding state of water molecule itself and bonding state between hydrogen-bonded water molecules are influenced by dissociation and strain of hydrogen bond between water molecule near the ions formed by ionic hydration and water molecule in the bulk as well as polarization change of water molecule by ionic electric field. Accordingly, near-infrared spectrum of water in the aqueous solutions of inorganic electrolytes differs from that of pure water. In other words, as near-infrared spectrum of water is changed by ionic hydration, it is possible to determine concentrations of ionic species indirectly by investigating degree of the spectrum changes. Therefore, infrared characteristic spectra of ionic species are not necessary for this quantitative determination. Accordingly, it is possible to determine concentration of each ionic species in the sample containing mixed ionic species because each ionic species gives inherent near-infrared spectrum. In order to derive aforesaid calibration equation (I), it is necessary to compare near-infrared spectrum (800 - 1400 nm) of an aqueous solution of the chemicals for processing semiconductor with that of pure water and to select wavelengthes at which remarkable significant difference of absorption bands between the both is given. For this purpose, it is convenient to utilize difference spectrum obtained by subtracting near-infrared spectrum of pure water contained in the aqueous solution of the chemicals of which concentration is relatively high from that of the aqueous solution. The difference spectrum is regarded as the sum of spectrum of solute and that attributed to an interaction of the solute and water. Therefore, wavelengthes at which characteristic difference spectra are given can easily be selected by investigating the difference spectra. These wavelengthes are selected from those at which the spectra bring about a remarkable change in accordance with concentration change of a specific component and the spectra are not subject to a great influence of disturbance and interference of other components, said wavelengthes being in near-infrared region wherein characteristic bands of water are remarkably dominated. Numbers of the selected wavelengthes are determined in consideration of kinds of components contained in the sample solution, numbers of wavelengthes at which significant difference of absorption bands is observed, variable factors of the sample and a measuring apparatus, measuring accuracy and the like. It is to be desired that at least three wavelengthes should be selected in the region of characteristic bands of water. Usual numbers of wavelengthes to be selected are the sum of numbers of main components which are variable in the sample and additional further wavelengthes. The close wavelengthes which are in the range of half width of a practically available interference filter should not be selected. As a characteristic band of water, there are 0.96 µm band, 1.15 µm band, 1.43 µm band and 1.93 µm band. It is said that the spectrum is the one wherein band shape having three peaks in each band region are composited. Although the limits of each band region is unclear, the wavelengthes are selected in the range of from 800 nm to 1400 nm in the present invention. In case of simultaneous determination of plural components contained in mixed samples, it is ideal to use exclusive optimum set of the wavelengthes for each component. However, such a combination of the set is unpractical because many interference filters are necessary for a spectroscope. For the sake of simplifying the design of the filter instruments, the same set of wavelengthes is applied to each component. Subsequently, near-infrared spectra of reference samples of which concentrations are known in measured at 800 - 1400 nm, absorbances at wavelengthes selected as stated above are determined, and relationship between said concentrations and absorbances is obtained by the regression analysis. In other words, calibration curve of which evaluation function is quantitative accuracy is constructed by means of the calibration set of samples, its performance of said calibration curve is verified by means of verification set of samples of which concentrations are known, and set of the calibration curve and the selected wavelengthes which produces the best accuracy is searched and determined by repeating the construction of said calibration curve and the verification of said performance. According to the aforesaid procedures, the calibration equation (I) can be obtained: C = Σα i A i (I) where C is the concentration of the chemicals for processing semiconducter, A i is absorbance at λ i whereat aforementioned significant difference of absorption bands is given, α i is constant determined by hind of the chemicals, λ i and number of λ i which are used in order to derive the calibration equation (I). Correction term may be introduced into the calibration equation (I) according to the samples (cf. Example 4). Therefore concentration of a sample solution can be predicted accurately, easily and rapidly by measuring near-infrared spectrum of the sample solution of which concentration is unknown at 800 - 1400 nm and substituting absorbance of the absorption band at λ i for A i of the calibration equation (I). Measurements of plural chemicals for processing semiconductor can be carried out by obtaining calibration equation for each component of the sample solution. For example concentration of each component of the following mixed samples used in the field of semiconductor:H₂SO₄-H₂O₂, HCl-H₂O₂, NH₃-H₂O₂, HNO₃-HCl, HF-NH₄F. An analytical apparatus which is adapted to the practice of the above-mentioned quantitative method of the present invention will be illustrated with reference to the accompanying drawing. FIG. 1 schematically illustrates an embodiment of the apparatus. The quantitative apparatus shown in FIG. 1 comprises a light source 1, a concave reflex mirror 2 which reflects light emitted from the light source 1, a slit 3 which collects reflected light from the concave reflex mirror 2, a plane reflex mirror 4 which reflects light emitted from the slit 3, a concave reflex mirror 5 which collects reflected light from the plane reflex mirror 4, a concave reflex mirror 7 which reflects light from a cell 6, a plane reflex mirror 8 which reflects light from the concave reflex mirror 7, a rotatable disk 10 provided with a interference filters 9 through which only light having a fixed wavelength, a concave reflex mirror 11 which reflects reflected light from the plane reflex mirror 8 collected by the interference filter 9, and a detector 12 which collects reflected light from the concave reflex mirror 11. Emitted light from the light source 1 such as tungsten-halogen lamp is focalized on the slit 3, the position of tee slit being point source of light. The light beam passed through the slit 3 is collected on the position of the cell 6 through a side window 13 of the light source part by way of the plane reflex mirror 4 and the concave reflex mirror 5. The light beam passed through the cell 6 is converged on the interference filter 9 located on the rotatable disk 10 through a side window 14 of the detection part by way of the concave reflex mirror 7 and plane reflex mirror 8. The side window 13 and 14 are usually made of fused quartz in order to isolate from an atomosphere of the cell part. A flow cell made of fused quarts is usually used as the cell 6, said cell being connected to a sampling line (not shown). The sample flows into the cell at a constant rate and flows out the cell after measurement. Optimum pass length of the cell 6 in near-infrared region is of the order of 1 - 10 mm based on absorbance of water. Said order of pass length is favorable from the view points of contamination, clogging and cleaning of the cell. The interference filter 9 is a narrow bandpass filter though which only the light having specific wavelength can be passes. Previously selected numbers (E.G. six) of the interference filters are distributed on the rotatable disk 10 and the interference filters and change successively with a rotation of the rotatable disk. The light beam having specific wavelength λ i passed through the interference filter 9 is collected on the detector 12 by way of the concave reflex mirror 11. It is convenient to used germanium detector as the detector 12. Signals from the detector 12 corresponding to the specific wavelength λ i are converted into transmittance after subjected to dark current correction and blank correction, said transmittance being then converted into the absorbance A i of the calibration equation (I). According to the present invention, concentration of the chemicals for processing semiconductor can be determined safely, accurately, easily and rapidly by measuring near-infrared spectrum caused by an ionic hydration, said chemicals being inorganic electrolytes providing no infrared characteristic bands which have been utilized for qualitative and quantitative determination of organic compounds. The present invention will now be described by way of examples. Example 1 Quantitative determination of ammonia-hydrogen peroxide An aqueous solution of mixture of ammonia and hydrogen peroxide is a typical alkaline cleaning fluid which is used to remove silicon surface by etching. Hydrogen peroxide is used an oxidizing agent to suppress a solvency action of the aqueous solution. Cleaning effect of the aqueous solution is such that the removing rate of silicon particle whose diameter is 1 µm is 95 - 98 % when the silicon surface is immersed in the aqueous solution (NH₄OH:H₂O₂:H₂O=1:2:13) at 80 °C for 10 minutes. However, if this cleaning fluid is used at high temperature, the concentration of the fluid decreases to 50 % within less than 20 minutes and the cleaning effect lowers because of drastic vaporization of ammonia and decomposition of hydrogen peroxide. Accordingly, the cleaning fluid one made cannot be used repeatedly for several times, Usually, freshly prepared cleaning fluid is substituted for the used solution after 30 - 40 minutes. But usable time of the cleaning solution may be prolonged by replenishing the exhausted amounts of the solution. For this reason, it is requested that the cleaning effect is maintained and controlled at constant level by monitoring a mixing ratio of the cleaning fluid and a deterioration thereof with the passage of time. Preparation of samples In order to verify the performance of the calibration equation for quantitative determination, calibration set of samples and verification set of samples were prepared whose concentrations encompass to the range used in the industrial process for cleaning semiconductor. Eighteen calibration samples and 18 verification samples, in which concentrations of NH₄OH and H₂O₂ are 0 - 3 wt% and 0 - 10 wt% respectively and ratios of the components are different from each other, were prepared by diluting aqueous ammonia whose concentration (21.65%) is confirmed by pH titration using dilute sulfuric acid with hydrogen peroxide solution whose concentration (34. 95 %) is confirmed by titration using sodium thiosulfate. Derivation of the calibration equation The following calibration equations are obtained according to the aforementioned derivation procedure of the calibration equation: For NH₄OH C=-17.75 A₁+3.50A₂+0.61A₃-11.91A₄-19.50A₅-45.06A₆ For H₂O₂ C=40.24A₁+82.33A₂-19.61A₃-80.18A₄+10.20A₅-32.98A₆ In the above calibration equations, A₁-A₆ are absorbances at wavelengthes λ₁-λ₆ corresponding to the absorption bands which give significant differences in comparison with that of near-infrared spectrum of pure water. The wavelengthes λ₁-λ₆ were selected by investigating the aforesaid difference spectra. In other words, the difference spectra of NH₄OH and H₂O₂ were obtained based on the near-infrared spectrum shown in FIG. 8 (wherein the concentration of H₂O₂ is 1.5 % and the concentrations of NH₄OH are varied between 2-4 %) and that shown in FIG. 9 (wherein the concentration of NH₄OH of 7.5 % and the concentrations of H₂O₂ are varied between 0 - 24.2 %) respectively and the following wavelengthes at which characteristic difference spectra are given were selected: For NH₄OH λ₁=980 nm, λ₂=1080 nm, λ₃=1150 nm, λ₄=1200 nm, λ₅=1250 nm, λ₆=1300 nm For H₂O₂ λ₁=1050 nm, λ₂ =1066 nm, λ₃=1070 nm, λ₄=1146 nm, λ₅=1191 nm, λ₆=1214 nm Standard error of prediction Se (%) and coefficient of multiple determination R² concerning accuracy of the calibration equations and evaluation by the verification samples are as follows: Accuracy of the calibration equations For NH₄OH Se=0.018 %, R²=0.9999 For H₂O₂ Se=0.012 %, R²=0.9999 Evaluation by the verification samples For NH₄OH Se=0.018 %, R²=0.9999 For H₂O₂ Se=0.017 %, R²=0.9999 Predicted concentrations obtained by the calibration equations and reference concentrations of the verification samples are shown in Table 1 as well as FIG.2 for NH₄OH and FIG.3 for H₂O₂. Example 2 Quantitative determination of hydrochloric acid-hydrogen peroxide An aqueous solution of mixture of hydrochloric acid and hydrogen peroxide (HCl:H₂O₂:H₂O=1:1:5) is a typical cleaning fluid which is used to remove heavy metals from silicon wafer. Preparation of samples In order to verify the practicability of the calibration equation for quantitative determination, calibration set of samples and verification set of samples were prepared whose concentrations encompass to the range used in the industrial process for cleaning semiconductor. Twenty-four calibration samples and 22 verification samples, in which concentrations of HCl or H₂O₂ are 10 - 0 wt % and ratios of the components are different from each other, were prepared by diluting hydrochloric acid whose concentration (35.4 %) is confirmed by titration using sodium hydroxide with hydrogen peroxide solution whose concentration (34.95 %) is confirmed by titration using sodium thiosulfate. Derivation of the calibration equation A set of six wavelengthes were selected from the range of 800 - 1400 nm which is optimum for the cell of which optical pass length is 10 mm in due consideration of the number of components of the samples, temperature variation and variable factors of the apparatus. The same set of six wavelengthes was used in order to determine the concentration of HCl and H₂O₂ simultaneously. The following calibration equations are obtained according to the aforementioned derivation procedure of the calibration equation. For HCl C=23.09A₁+62.25A₂-96.41A₃+58.90A₄-129.0A₅+85.7A₆ For H₂O₂ C=-3.21A₁+33.64A₂+97.22A₃-112A₄+88.02A₅-112.7A₆ In the above calibration equations, A1-A6 are absorbances at wavelengthes λ₁ - λ₆ corresponding to the absorption bands which give significant differences in comparison with that of near-infrared spectrum of pure water. The following wavelengthes were selected in accordance with the difference spectrum method as described in Example 1: λ₁=980 nm, λ₂=1040 nm, λ₃=1145 nm, λ₄=1190 nm, λ₅=1230 nm, λ₆=1300 nm Se (%) and R² are as follows: Accuracy of the calibration equations For HCl Se=0.06 %, R²=0.9998 For H₂O₂ Se=0.10 %, R²=0.9996 Evaluation by the verification samples For HCl Se=0.07 %, R²=0.9998 For H₂O₂ Se=0.13 %, R²=0.9994 Predicted concentrations obtained by the calibration equations and reference concentrations of the samples are shown in Table 2 as well as FIG. 4 for HCl and FIG. 5 for H₂O₂. Example 3 Quantitative determination of sulfuric acid-hydrogen peroxide An aqueous solution of mixture of sulfuric acid-hydrogen peroxide is a cleaning fluid which is used to remove heavy metals from silicon wafer, said heavy metals being oxidized to ions which is soluble in the cleaning fluid. Preparation of samples In order to verify the performance of the calibration equation for quantitative determination, calibration set of samples and verification set of samples were prepared whose concentrations encompass to the range used in the industrial process for cleaning semiconductor. Thirty calibration samples and 30 verification samples, in which concentrations of H₂SO₄ and H₂O₂ are 0 - 97 wt % and 0 - 34.95 wt % respectively and ratios of the components are different from each other, were prepared by diluting sulfuric acid whose concentration (97 %) is confirmed by titration using sodium hydroxide with hydrogen peroxide solution whose concentration (34.95 %) is confirmed by titration using sodium thiosulfate. Derivation of the calibration equation A set of six wavelengthes were selected from the range of 800 - 1400 nm as in the case of Example 1. The following calibration equations are obtained according to the aforementioned derivation procedure of the calibration equation: For H₂SO₄ C=18.14 A₁+50.31 A₂-48.21 A₃+102.3 A4- 150.0A₅+53.2A₆ For H₂O₂ C=-10.10 A₁+40.21 A₂+38.26 A₃-130.0 A₄+70.26A₅- 130.2 A₆ In the above calibration equations, A₁ - A₆ are absorbances at wavelengthes λ₁ - λ₆ corresponding to the absorption bands which give siginificant difference in comparison with that of near-infrared spectrum of pure water. These wavelengthes λ₁ - λ₆ were selected by investigating the aforesaid difference spectra. In other words, the differences spectra of H₂So₄ and H₂O₂ were obtained based on the near-infrared spectrum shown in FIG. 10 (wherein the concentration of H₂O₂ is 7.7 % and the concentration of H₂SO₄ are varied between 0 - 72.8 %) and that shown in FIG.11 (wherein the concentration of H₂SO₄ is 65 % and the concentrations of H₂O₂ are varied between 0 - 10.2 %) respectively and the following wavelengthes at which characteristic difference spectra are given were selected: λ₁=980 nm, λ₂=1040 nm, λ₃=1145 nm, λ₄=1190 nm, λ₅=1230 nm, λ₆=1300 nm Se (%) and R² are as follows: Accuracy of the calibration equations For H₂SO₄ Se=0.15 %, R²=0.99997 For H₂O₂ Se=0.18 %, R²=0.9995 Evaluation by the verification samples For H₂SO₄ Se=0.29 %, R²=0.99989 For H₂O₂ Se=0.20 %, R²=0.9994 Predicted concentrations obtained by the calibration equations and reference concentrations of the samples are shown in Table 3 as well as FIG.6 for H₂SO₄ and FIG.7 for H₂O₂. Example 4 Quantitative determination of sodium hypochlorite Preparation of samples Although an analysis object in this example is a concentration of ClO⁻ in an aqueous solution of sodium hypochlorite, 13 samples were prepared by changing the concentration with combinations of ion pairs in due consideration of disturbance and interference of coexisting ionic species such as Na⁺, Cl⁻, CO₃⁻, and OH⁻. The concentration of ClO⁻ was confirmed by titration using sodium thiosulfate after excess amount of acetic acid and more than equivalent weight of potassium iodide were added to the aqueous solution of NaClO. Concentrations of the coexisting ions were determined by an electrochemical method. Derivation of the calibration equation The following calibration equations are obtained according to the aforementioned derivation procedure of the calibration equation: C=20.07A₁+1634A₂-849.0A₃-770.2A₄ -430.9A₅+103.3A₆+388.7 In this calibration equation, A₁ - A₆ are absorbances at wavelengthes λ₁ - λ₆ corresponding to the absorption bands which give significant differences in comparison with that of near-infrared spectrum of pure water. The following wavelengthes λ₁ - λ₆ were selected by the aforesaid difference spectra method: λ₁=1005 nm, λ₂=1143 nm, λ₃=1167 nm, λ₄=1255 nm, λ₅=1300 nm, λ₆=1350 nm Se (%) and R² are as follows: Accuracy of the calibration equations Se=0.089 %, R²=0.9998 Predicted concentrations obtained by the calibration equations and reference concentrations of the samples are shown in Table 4 and FIG. 12. Sample No. Reference concentration Predicted concentration Difference 1 5.35 5.41 -0.06 2 5.37 5.32 0.05 3 5.31 5.31 0.00 4 5.35 5.51 -0.16 5 6.59 6.47 0.12 6 3.62 3.67 -0.05 7 1.50 1.47 0.03 8 4.75 4.80 -0.05 9 3.16 3.20 -0.04 10 3.16 3.18 -0.02 11 1.93 2.03 -0.10 12 0.99 1.00 -0.01 13 0.55 0.67 -0.12

Claims: A method for processing a semiconductor with an aqueous solution whose chemical concentrations are measured by a measuring a near-infrared spectrum at 800 - 1400 nm of an aqueous solution of the chemicals of which concentrations are known, obtaining absorbances at a wavelength at which significant differences of absorption bands between said spectrum and a near-infrared spectrum of pure water at 800 - 1400 nm are given, deriving a following calibration equation (I) from regression analysis of a relation between said concentration and absorbance, and determining a concentration of chemicals sample by using the calibration equation (I): C= Σα i A i (I) where C is the concentration of the chemicals sample, A i is absorbance at λ i whereat said absorption bands is given, α i is constant determined by kind of the chemicals, λ i and numbers of λ i which are used in order to derive the calibration equation (I). A method according to claim 1, wherein said chemicals is any one or more of the chemicals selected from the class consisting of a mixture of ammonia and hydrogen peroxide, a mixture of hydrochloric acid and hydrogen peroxide, a mixture of sulfuric acid and hydrogen peroxide, hydrofluoric acid, a mixture of hydrochloric acid and nitric acid, a mixture of hydrofluoric acid and ammonium fluoride, and sodium hypochlorite.

Inventors: KOASHI KATSUE, YANAI NAOKI, YOKOTA HIROSHI, KOASHI, KATSUE, YANAI, NAOKI, YOKOTA, HIROSHI
Applicants: KURASHIKI BOSEKI KK, KURASHIKI BOSEKI KABUSHIKI KAISHA
Application year: 1990
Main classification: G01N21
IPC codes: G01N21