WO2019031125A1 - 蛍光x線分析の測定方法及び蛍光x線分析の測定装置 - Google Patents
蛍光x線分析の測定方法及び蛍光x線分析の測定装置 Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N23/00—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
- G01N23/22—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by measuring secondary emission from the material
- G01N23/223—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by measuring secondary emission from the material by irradiating the sample with X-rays or gamma-rays and by measuring X-ray fluorescence
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N1/00—Sampling; Preparing specimens for investigation
- G01N1/28—Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q
- G01N1/38—Diluting, dispersing or mixing samples
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2223/00—Investigating materials by wave or particle radiation
- G01N2223/07—Investigating materials by wave or particle radiation secondary emission
- G01N2223/076—X-ray fluorescence
Definitions
- the present invention relates to a measuring method for measuring various metal concentrations of a metal to be measured contained in a liquid to be measured containing a plurality of additives and metals by fluorescent X-ray analysis, and a measuring apparatus for measuring various metal concentrations by fluorescent X-ray analysis About.
- Fluorescent X-ray analysis is used to measure the concentration of various metals contained in a liquid to be measured such as a plating liquid used in the field of electronics.
- the liquid to be measured contains not only the metal component but also a plurality of additive components.
- the fluorescent X-ray intensity of the component to be measured is affected by attenuation of X-rays by additives and the like which are not to be measured.
- Patent Document 1 a standard in which the concentration of each component is known is the constant of the simultaneous equations in which the relationship between the concentration of each metal contained in the plating solution and the fluorescent X-ray intensity for each component is expressed using these as variables.
- Various metal concentrations are determined from the results of measuring the fluorescent X-ray intensities of the samples.
- a measuring method is a fluorescent X-ray which measures various metal concentrations of a metal to be measured contained in a liquid to be measured containing one or more kinds of additives and a metal based on a fluorescent X-ray intensity measurement value
- a measurement method of analysis comprising: a calibration curve polynomial determination step of determining a polynomial approximation formula of a calibration curve of the measurement target metal; and the additive for the fluorescent X-ray intensity measurement value of the measurement target metal
- Specific gravity correction polynomial determining step for determining a polynomial approximation formula for correcting an error of the measured value due to the multiple polynomial determined by the calibration curve polynomial determining step, the liquid type correction
- the calibration curve polynomial determination step includes a calibration curve reference solution in which the concentration of the measurement target metal of the solution containing only the measurement target metal and not including the additive is changed.
- a calibration curve reference solution in which the concentration of the measurement target metal of the solution containing only the measurement target metal and not including the additive is changed.
- Three or more types are prepared, each fluorescent X-ray intensity is measured, and calibration curve intensities A1, A2. . . , An, the concentration of the metal to be measured of the calibration curve reference solution on the vertical axis, and the calibration curve intensities A1, A2. . . , An may be plotted on the graph as values on the horizontal axis, and a polynomial approximation may be calculated from the graph, and the polynomial approximation may be used as a calibration curve polynomial. (Where n is an integer of 3 or more).
- the additive having the same concentration as the concentration of the additive to be included when using the liquid to be measured in each of the calibration curve reference solutions
- Three or more types of liquid type correction standard solutions to which the above are added are prepared, and the fluorescent X-ray intensities are respectively measured to obtain liquid type correction intensities B1, B2. . . , Bn, the formulas A1 / B1, A2 / B2. . . , An / Bn, the liquid type correction coefficients C1, C2,. . . , Cn, and the liquid type correction coefficients C1, C2,. . . , Cn on the vertical axis, the liquid type correction strengths B1 and B2. .
- Bn may be plotted as values on the horizontal axis, and three or more points may be plotted on the graph, a polynomial approximation may be calculated from the graph, and the polynomial approximation may be a liquid type correction polynomial. (Where n is an integer of 3 or more).
- the concentration of the metal to be measured is a concentration at the time of using the liquid to be measured, and a specific gravity correction reference solution in which the concentration of the additive is changed
- a specific gravity correction reference solution in which the concentration of the additive is changed
- Three or more types are prepared, and fluorescent X-ray intensities are respectively measured to obtain first specific gravity correction intensities D1, D2. . . , And Dm, and the specific gravities are measured, respectively, and the standard specific gravities E1, E2,. . . , Em and the first specific gravity correction intensities D1, D2. . . , Dm are substituted into the liquid type correction polynomial, and the liquid type correction coefficients obtained are assigned to the respective first specific gravity correction strengths D1, D2. . .
- Dm are multiplied by the second specific gravity correction intensities F1, F2. . . , And Fm, and among the specific gravity correction reference solutions, the fluorescent X-ray intensity of the specific gravity correction reference solution which is the same as the concentration to be contained when using the liquid to be measured is measured.
- a value obtained by multiplying the third specific gravity correction strength Dp by the liquid type correction coefficient obtained by substituting the third specific gravity correction strength Dp into the liquid type correction polynomial and taking the third specific gravity correction strength Dp as a correction strength Dp is a fourth specific gravity correction strength Gp.
- Formulas Gp / F1, Gp / F2. . . , Gp / Fm as specific gravity correction coefficients H1, H2. . .
- Hm Hm
- Hm Hm
- E1, E2. . . , Em the values of the horizontal axis, and three or more points
- a polynomial approximation may be calculated from the graph, and the polynomial approximation may be a specific gravity correction polynomial.
- m is an integer of 3 or more).
- the metal concentration measuring step measures a fluorescent X-ray intensity measuring step of measuring a fluorescent X-ray intensity of the liquid to be measured to obtain a first measurement intensity, and measuring a specific gravity of the liquid to be measured
- Metal concentration calculation step of calculating the concentration of the metal to be measured using the specific gravity measurement step as the measurement specific gravity, the fluorescent X-ray intensity, the specific gravity, the calibration curve polynomial, the liquid type correction polynomial and the specific gravity correction polynomial
- a value obtained by multiplying the first measurement intensity by the liquid type correction coefficient obtained by substituting the first measurement intensity into the liquid type correction polynomial is used as a second measurement intensity.
- the value obtained by substituting the specific gravity correction coefficient obtained by substituting the measured specific gravity into the specific gravity correction polynomial is multiplied by the second measured intensity as a third measured intensity, and substituting the third measured intensity into the calibration curve polynomial Concentration of the metal to be measured Characterized in that the measurement result of the concentration of the measurement target metal test solution.
- the method further includes a dilution step of diluting the liquid to be measured to obtain a diluted liquid to be measured before the calibration curve polynomial determination step, using at least the diluted liquid to be measured.
- the liquid type correction polynomial determination step may be performed.
- a measuring method comprising: a dilution step of diluting the liquid to be measured to obtain a diluted liquid to be measured; a calibration curve polynomial determining step of determining a polynomial approximation of a calibration curve of the metal to be measured; A liquid type correction factor determining step of determining a correction factor for correcting an error of the measured value due to the inclusion of the additive with respect to the fluorescent X-ray intensity measured value, and the calibration curve polynomial determining step
- the method includes a metal concentration measuring step of measuring various metal concentrations of the metal to be measured using a polynomial approximation and the correction coefficient determined in the liquid type correction coefficient determining step, and the concentration of the metal to be measured in the dilution step Is 1 Characterized by diluted to ⁇ 200 ppm.
- the liquid type correction coefficient is not calculated by polynomial approximation, and the correction coefficient fixed at one point and the calculation formula become simple, and the specific gravity correction becomes unnecessary, and it is simply included in the liquid to be measured Various metal concentrations can be measured with high accuracy.
- the measuring apparatus comprising: fluorescent X-ray intensity measuring means for measuring the fluorescent X-ray intensity measured value; specific gravity measuring means for measuring a specific gravity measured value of the liquid to be measured; storage means;
- the memory means includes a calibration curve polynomial which is a polynomial approximation formula of a calibration curve of the metal to be measured, and a measured value by containing the additive with respect to the fluorescent X-ray intensity measured value of the metal to be measured
- a liquid type correction polynomial which is a polynomial approximation formula for correcting an error, and an error of a measured value due to a difference in specific gravity of the liquid to be measured with respect to a measured value of fluorescent X-ray intensity of the metal to be measured
- Weight corrected polynomial which is a polynomial approximation formula Consisting polynomial group is stored, the calculation unit, the fluorescent X-ray intensity measurements, and calculates the various metals concentration using the density measurement and the polynomial group.
- a fluorescent X-ray for measuring various metal concentrations of a metal to be measured contained in a liquid to be measured containing one or more kinds of a plurality of additives and a metal based on a fluorescent X-ray intensity measurement value
- a measuring device for analysis comprising: dilution means for diluting the liquid to be measured, fluorescent X-ray intensity measurement means for measuring the fluorescent X-ray intensity measurement value, storage means, calculation means
- the calibration equation is a dilution equation in which the concentration of the metal contained in the liquid to be measured is diluted to 10 to 200 ppm, a calibration curve polynomial which is a polynomial approximation equation of the calibration curve of the metal to be measured, and the fluorescence X of the metal to be measured
- a correction coefficient for correcting an error of a measurement value due to the addition of the additive with respect to a linear intensity measurement value is stored, and the calculation unit is configured to calculate the fluorescence X-ray intensity measurement value and the correction coefficient.
- the liquid type correction coefficient is not a method of calculating by polynomial approximation, but it becomes a fixed correction coefficient of one point, so that the calculation formula of correction becomes simple, specific gravity correction becomes unnecessary, and the object is simplified. It is possible to accurately measure the concentration of various metals contained in the measurement solution.
- FIG. 1 is a process diagram showing an outline of a measurement method of fluorescent X-ray analysis according to an embodiment of the present invention.
- FIG. 2 is a diagram when a calibration curve of an Au single solution is prepared.
- FIG. 3 is a view showing the correlation between the X-ray intensity and the Au concentration for each liquid type.
- FIG. 4 is a view showing the correlation between X-ray intensity and Au concentration for each liquid type after intensity correction.
- FIG. 5 is a diagram showing a correction coefficient calculation approximation graph.
- FIG. 6 is a view showing the correlation between the X-ray intensity and the Au concentration for each liquid type after correction using the approximate curve approximated by a polynomial.
- FIG. 7 shows the correlation between specific gravity and X-ray intensity.
- FIG. 1 is a process diagram showing an outline of a measurement method of fluorescent X-ray analysis according to an embodiment of the present invention.
- FIG. 2 is a diagram when a calibration curve of an Au single solution is prepared.
- FIG. 3
- FIG. 8 is an approximate graph of correction coefficient calculation based on specific gravity.
- FIG. 9 is a view showing the relationship between the specific gravity and the X-ray intensity after the specific gravity correction.
- FIG. 10 is a process diagram showing an outline of the metal concentration measurement process.
- FIG. 11 is a process chart showing an outline of a measurement method of fluorescent X-ray analysis according to another embodiment.
- FIG. 12 is a diagram showing transition of a correction coefficient when diluted in the measurement method of fluorescent X-ray analysis according to another embodiment.
- FIG. 13 is a block diagram showing an outline of a measuring device for fluorescent X-ray analysis according to an embodiment of the present invention and a measuring device for fluorescent X-ray analysis according to another embodiment.
- FIG. 1 is a process chart showing an outline of a method of measuring various metal concentrations according to an embodiment of the present invention.
- the method for measuring various metal concentrations according to one embodiment of the present invention is based on the fluorescent X-ray intensity measurement value of the various metal concentrations of the metal to be measured contained in the liquid to be measured containing one or more types of additives and metal. It is a measuring method of the fluorescent X ray analysis to measure. And, as shown in FIG.
- step S11 the method of measuring various metal concentrations according to one embodiment of the present invention, calibration curve polynomial determination step S11, liquid type correction polynomial determination step S12, specific gravity correction polynomial determination step S13, and metal concentration measurement It is characterized by having a step S14.
- the calibration curve polynomial determination step S11 determines a polynomial approximation of the calibration curve of the metal to be measured. Further, the liquid type correction polynomial determining step S12 determines a polynomial approximation formula for correcting an error of a measurement value caused by containing the additive with respect to the fluorescence X-ray intensity measurement value of the metal to be measured. Do. Further, the specific gravity correction polynomial determination step S13 determines a polynomial approximation equation for correcting an error of the measurement value due to a difference in specific gravity of the liquid to be measured with respect to the fluorescent X-ray intensity measurement value of the metal to be measured. Do.
- the metal concentration measurement step S14 uses various polynomials of the metal to be measured using the polynomial approximation determined in the calibration curve polynomial determination step S11, the liquid type correction polynomial determination step S12, and the specific gravity correction polynomial determination step S13. Measure the concentration.
- the liquid to be measured used in the method of measuring the concentration of various metals mainly includes a plating solution, a plating treatment solution such as a plating pretreatment solution, an etching solution used for pattern formation,
- a plating treatment solution such as a plating pretreatment solution, an etching solution used for pattern formation
- the method for measuring the concentration of various metals according to the embodiment of the present invention will be described in detail with reference to the drawings, taking the treatment liquid for plating as an example.
- the calibration curve polynomial determination step S11 will be described. First, in order to perform quantification using fluorescent X-ray intensity, it is necessary to create a calibration curve with the X-ray intensity and various metal concentrations of the metal to be measured, and calculate an approximate curve of a polynomial. Specifically, the calibration curve polynomial determination step S11 creates three or more types of calibration curve reference solutions in which the concentration of the measurement target metal of the solution containing only the measurement target metal and not including the additive is changed. Measure the fluorescent X-ray intensity and measure the calibration curve intensities A1, A2. . .
- the concentration of the metal to be measured of the calibration curve reference solution is the value on the vertical axis
- the calibration curve intensities A1, A2. . . , An are plotted as horizontal axis values, and three or more points are plotted on the graph, a polynomial approximation is calculated from the graph, and the polynomial approximation is determined as a calibration curve polynomial.
- FIG. 2 shows a diagram when a calibration curve of an Au single solution not containing an additive is prepared, and the polynomial approximation (calibration curve polynomial) at that time is described below.
- Au concentration (g / L) 1.07781277 ⁇ 10 -10 ⁇ (X -ray intensity) 2 + 4.89087647 ⁇ 10 -5 ⁇ (X -ray intensity) -3.31795782 ⁇ 10 -2 ⁇ (1 )
- the concentration is calculated by substituting the X-ray intensity obtained by measurement into the X-ray intensity portion of the calibration curve polynomial (1).
- a calibration curve is prepared with an Au single solution.
- Ni nickel
- a calibration curve is prepared with a single solution of Ni. Then, a polynomial approximation is calculated. In the calibration curve, the closer the value of R 2 is to 1, the better the quantitativity. It is preferable to adjust the order of the polynomial approximation so that R 2 of the calibration curve is 9 in the second digit after the decimal point, that is, 0.99 or more.
- R 2 represents a correlation coefficient (determination coefficient), and is a numerical value indicating the degree of fitness of the approximate curve to the data plot.
- the metal to be measured is a simple substance by using a calibration curve, but if it is a treatment object + other components, for example, a treatment solution for plating, single substances such as organic acids, inorganic acids, inorganic salts etc.
- a treatment object + other components for example, a treatment solution for plating, single substances such as organic acids, inorganic acids, inorganic salts etc.
- X-rays are inhibited or absorbed by other components (reduction of X-rays), and therefore it can not be quantified with high accuracy. Details of attenuation of X-rays will be described later.
- FIG. 3 shows a graph in which the relationship between the Au concentration and the X-ray intensity of two types of Au plating solutions different in component content is plotted on a calibration curve graph.
- the plot indicated by the broken-line circle in part A contains three solutions (Au single solution, treatment solution for plating (I) and treatment solution for plating (II): three kinds).
- FIG. 4 shows the correlation between the X-ray intensity and the Au concentration for each liquid type after the intensity correction.
- the Au concentration 6 g / L is used as a standard solution, and the X-ray intensity of the standard solution is divided by the X-ray intensity of each plating treatment solution containing the additive at the Au concentration 6 g / L. It is a result of calculating a correction coefficient and performing correction.
- the fluorescent X-ray intensity measurement value of the reference solution consisting only of the measurement target metal whose metal concentration is known, and an additive other than the measurement target metal contained in the measurement solution are added to the reference solution.
- a liquid type correction coefficient which is a ratio of the measured values of the fluorescent X-ray intensity of the solution for liquid type correction, is calculated.
- the intensity can be accurately corrected.
- the metal concentration and the metal substance which are used as the reference of the reference solution are of course not limited to the above Au 6 g / L.
- the intensity correction is not complete, for example, at the concentration shown by the broken circle in part B in FIG. 4 or the solid circle in part C, which largely deviates from the Au concentration of 6 g / L as a reference. This is again due to the characteristics of the x-rays. If the concentration of the substance to be measured does not greatly deviate from the standard concentration, it is possible to calculate the correction coefficient simply, but if the concentration range to be measured is wide, the correction coefficient is calculated by polynomial approximation. It is necessary to calculate.
- liquid type correction polynomial determination process Therefore, in the liquid type correction polynomial determination step S12, the metal concentration of the reference liquid and the liquid type correction solution is changed, and a plot of the liquid type correction coefficient against the X-ray intensity is approximated by a polynomial The correction is performed using the approximate curve Specifically, three or more types of liquid type correction reference solutions are prepared by adding the additive having the same concentration as the concentration of the additive to be contained when using the test solution to each of the calibration curve reference solutions. , Measuring the fluorescent X-ray intensity respectively, the liquid type correction intensity B1, B2. . . , Bn, and the calibration curve intensities A1, A2. . .
- the concentration of the additive to be contained when using the liquid to be measured is preferably an optimum concentration when using the liquid to be measured, and the optimum concentration is a preferable concentration according to the conditions of use It is. In this way, the measurement can be performed with higher accuracy.
- FIG. 5 shows a graph and an approximate expression for deriving a polynomial approximate expression of the treatment solutions for plating (I) and (II).
- the horizontal axis represents the liquid type correction intensity B1, B2. . . , B7, with the liquid type correction coefficients C1, C2. . . , C7 and plot.
- the polynomials (liquid type correction polynomials) of the two types of processing solutions for plating shown in the above graphs are described below.
- the liquid type correction coefficient at each X-ray intensity is calculated by substituting the X-ray intensities obtained in the fluorescent X-ray intensity measurement step S22 described later into the polynomials (2) and (3). It is preferable to adjust the order of the polynomial approximation so that R 2 in the polynomial approximation of the liquid type correction coefficient has a minimum of two digits after the decimal point of 9, ie, 0.99 or more. As the points for data plotting, it is necessary to take many plots in order to improve quantitative accuracy, but it is necessary to take at least three or more points.
- FIG. 6 shows the correlation between the X-ray intensity and the Au concentration for each liquid type after correction using the approximate curves approximated by the polynomials (2) and (3). This is a correction result obtained by correcting the liquid type using the polynomials (2) and (3) in FIG. As shown in FIG. 6, accurate intensity correction is possible in all density ranges.
- the method for measuring various metal concentrations has a specific gravity correction polynomial determination step S13, as shown in FIG.
- the specific gravity correction polynomial determination step S13 determines a polynomial approximation equation for correcting the error of the measurement value due to the difference in the specific gravity of the liquid to be measured.
- FIG. 7 shows the correlation between specific gravity and X-ray intensity.
- the X-ray attenuation effect largely depends on the type of the additive contained in the processing solution for plating to be measured, but also depends on the type and the content of the additive.
- FIG. 7 shows the result of confirming the correlation between the specific gravity and the X-ray intensity when changing only the content of the additive component in the state where the Au content is fixed at 5.5 g / L as an example.
- the liquid to be measured such as the treatment liquid for plating contains a plurality of additives, but in many cases the mixing ratio of the additives is determined in detail, and in most cases the concentration fluctuates while the content ratio remains constant.
- the fluctuation of the additive concentration can be simply replaced by the specific gravity. In FIG. 7, even when the content of Au is the same, the X-ray intensity changes with the change of the specific gravity of the liquid to be measured, and the correction by the specific gravity (the fluctuation of the additive concentration) is required to accurately determine. Indicates that it is necessary.
- the X-ray intensity is measured by variously changing the additive concentration (specific gravity) in a state where the content of the substance to be measured is fixed.
- the specific gravity correction polynomial determination step S13 will be described in detail.
- three or more types of specific gravity correction reference solutions are prepared in which the concentration of the metal to be measured is the concentration when using the liquid to be measured, and the concentration of the additive is changed.
- the respective fluorescent X-ray intensities are measured, and the first specific gravity correction intensities D1, D2. . . , Dm (where m is an integer of 3 or more), and the specific gravities are measured to obtain the reference specific gravities E1, E2,. . . , Em.
- the concentration of the metal to be measured is preferably an optimum concentration when using the liquid to be measured, and the optimum concentration is a preferable concentration according to the use conditions.
- the measurement can be performed with higher accuracy.
- the first specific gravity correction strengths D1, D2. . . , Dm are substituted into the liquid type correction polynomial, and the liquid type correction coefficients obtained are respectively assigned to the first specific gravity correction strengths D1, D2. . . , Dm are multiplied by the second specific gravity correction intensities F1, F2. . . , Fm.
- the fluorescent X-ray intensity of the specific gravity correction reference solution having the same concentration as the optimum concentration when using the liquid to be measured is measured for the third specific gravity correction It is assumed that the strength Dp.
- a value obtained by multiplying the third specific gravity correction strength Dp by the liquid type correction coefficient obtained by substituting the third specific gravity correction strength Dp into the liquid type correction polynomial is set as a fourth specific gravity correction strength Gp. / F1, Gp / F2. . . , Gp / Fm as specific gravity correction coefficients H1, H2. . . , Hm.
- the specific gravity correction coefficients H1, H2. . . , Hm as the values on the vertical axis, the above-mentioned reference specific gravities E1, E2. . . , Em as the values of the horizontal axis, three or more points are plotted on the graph, a polynomial approximation is calculated from the above graph, and the polynomial approximation is determined as a gravity correction polynomial.
- FIG. 8 is an approximate graph of correction coefficient calculation based on specific gravity, which is the above graph for the Au plating treatment solution of FIG. 7. Also, a polynomial approximation formula (specific gravity correction polynomial) at that time is shown below.
- Specific gravity correction polynomial ⁇ 4.13956122 ⁇ 10 3 ⁇ (specific gravity) 3 +1.324 9699 ⁇ 10 4 ⁇ (specific gravity) 2 ⁇ 1.413 14434 ⁇ 10 4 ⁇ (specific gravity) +5022.89613 (4)
- the specific gravity correction coefficient for each specific gravity is calculated by substituting the specific gravity obtained in the specific gravity measurement step S23 to be described later into the polynomial (4). It is preferable to adjust the order of the polynomial approximation so that R 2 in the polynomial approximation of the correction coefficient based on specific gravity is 9 as the minimum to the second digit after the decimal point, that is, 0.99 or more. As the number of points for data plotting, it is necessary to take many plots in order to improve quantitative accuracy, but it is necessary to take at least three or more points.
- FIG. 9 shows the result of performing correction using the liquid type correction polynomial and the specific gravity correction polynomial to the data of FIG. 7.
- FIG. 9 is a view showing the relationship between the specific gravity and the X-ray intensity after the specific gravity correction. While correction of strength is not sufficiently performed only with liquid type correction, various measured solutions in which specific gravity changes due to different additive concentrations by performing specific gravity correction based on specific gravity in addition to liquid type correction More accurate measurement is possible. The concentration of the components of the liquid to be measured changes each time it is used, and if the liquid to be measured such as the plating treatment liquid is used for a long time, the correction based on the specific gravity maintains the analysis accuracy. Become an important factor.
- the concentration of various metals contained in the liquid may be measured to 50 mg / L or less.
- the metal concentration contained in the wastewater treatment solution containing a plating solution, a plating treatment solution, or a solution such as an etching solution may be low, and even in such a low concentration situation, accurate measurement may be performed. it can.
- the metal concentration measurement step S14 measures various metal concentrations of the measurement target metal using polynomial approximations determined by the calibration curve polynomial determination step S11, the liquid type correction polynomial determination step S12 and the specific gravity correction polynomial determination step S13. Process.
- the metal concentration measurement step S14 will be described in detail with reference to FIG.
- the metal concentration measurement step S14 is, as shown in FIG. 10, a sampling step S21 for sampling the liquid to be measured, and the fluorescent X-ray intensity measurement step S22 for measuring the fluorescent X-ray intensity of the liquid to be measured.
- the metal concentration measurement step S14 will be specifically described. First, the liquid to be measured is sampled in the sampling step S21. Next, in the fluorescent X-ray intensity measurement step S22, the fluorescent X-ray intensity of the sampled liquid to be measured is measured to be a first measurement intensity. Next, in the specific gravity measurement step S23, the specific gravity of the sample liquid to be sampled is measured and used as the measured specific gravity.
- a value obtained by multiplying the first measurement strength by the liquid type correction coefficient obtained by substituting the first measurement strength into the liquid type correction polynomial is defined as a second measurement strength
- the value obtained by substituting the specific gravity correction coefficient obtained by substituting the measured specific gravity into the specific gravity correction polynomial by the second measured intensity as the third measured intensity, and substituting the third measured intensity into the calibration curve polynomial to calculate the above Let the concentration of the metal to be measured be the measurement result of the concentration of the metal to be measured of the liquid to be measured. In this way, it is possible to accurately measure the concentration of various metals contained in the liquid to be measured containing a plurality of additives and metals.
- a dilution step S10 may be provided to further dilute the liquid to be measured to obtain a diluted liquid to be measured.
- the various reference solutions used in the calibration curve polynomial determination step S11 and the liquid type correction polynomial determination step S12 and the liquid to be measured sampled in the sampling step S21 are diluted.
- the specific gravity correction polynomial determination step S13 not the dilution liquid but the stock solution is used.
- the calculation formula by the polynomial approximation formula becomes simple, and the concentration of various metals contained in the liquid to be measured can be measured with high accuracy.
- the coefficient is calculated by the fourth-order polynomial in the liquid type correction polynomial determination step S12, but the liquid type correction polynomial determination step is performed by performing the dilution step S10.
- the polynomial approximation at S12 can be calculated by the following second-order polynomial.
- Formula -2.23810709 * 10 ⁇ -9 > * (X-ray intensity) ⁇ 2 > + 1.03856703 * 10 ⁇ -5 > * (X-ray intensity) + 0.96462610
- the concentration of the metal it is preferable to dilute the concentration of the metal to be measured to 10 to 200 ppm. If the concentration is less than 10 ppm or more than 200 ppm, the above polynomial approximation may not be simplified.
- the attenuation of fluorescent X-rays will be described.
- X-rays for generating fluorescent X-rays reach the elements of the metal to be measured
- X-rays striking the elements of the metal to be measured are reduced by being absorbed or scattered by elements other than the elements of the metal to be measured
- the X-ray intensity is lowered by absorption or scattering of an element other than the metal to be measured before the fluorescent X-ray generated from the element to be measured reaches the detector.
- the phenomenon in which the intensity of fluorescent X-rays is not proportional to the concentration of an element is called the matrix effect.
- X-ray attenuation is not an object of measurement because the probability of hitting an X-ray or fluorescent X-ray outside the object of measurement changes as the number of elements other than the object metal increases or decreases (the concentration of elements other than the object metal increases or decreases). It depends on the concentration of the element.
- the calibration curve polynomial determination step S11 the liquid type correction polynomial determination step S12, the specific gravity correction polynomial determination step S13, and the metal concentration measurement step S14 are included.
- the concentrations of various metals contained in the liquid to be measured can be accurately measured even when the component types and the mixing ratio of the additives contained in each liquid type are different, or when the concentration of various metals and additives changes. Further, it is possible to analyze a liquid having a wide range of various metal concentrations, for example, a metal concentration of 10 mg / L to 10 g / L.
- the method for measuring various metal concentrations according to another embodiment measures the various metal concentrations of the metal to be measured contained in the liquid to be measured containing one or more types of additives and metal based on the fluorescent X-ray intensity measurement value . And as shown in FIG. 11, the said measuring method has dilution process S31, calibration curve polynomial determination process S32, liquid type correction coefficient determination process S33, and metal concentration measurement process S34.
- the liquid to be measured is diluted to obtain a diluted liquid to be measured.
- the concentration of the metal to be measured is diluted to 10 to 200 ppm.
- the liquid type correction coefficient Correction is performed using the correction based on the type of component) and the specific gravity correction coefficient (correction based on the concentration of the component not to be measured). Further, both of the correction coefficients are calculated by substituting in the polynomial approximation for correction coefficient calculation calculated by performing data acquisition in advance using intensity data and specific gravity data obtained by measuring the specimen.
- the above-mentioned liquid to be measured is diluted to obtain a diluted liquid to be measured, and the various metal concentrations are measured.
- the transition of the correction coefficient becomes constant with respect to the intensity, so the liquid type correction coefficient is not a method of calculating by polynomial approximation, and one point is fixed.
- the correction coefficient is sufficient, and there is no need to apply specific gravity correction. If the calculation formula by polynomial approximation is simplified, for example, although coefficients are currently calculated with a fourth-order polynomial, it can be calculated with a second-order polynomial by performing dilution.
- the attenuation of X-rays depends on the concentration of elements not to be measured.
- Is represented by ⁇ is a coefficient for each non-measurement target component, and x is the concentration of the non-measurement target component or the concentration of the target metal.
- the attenuation effect does not increase or decrease linearly with the concentration but increases exponentially. That is, when dilution is not performed, the liquid type correction coefficient value becomes larger or smaller as it deviates from the value of the central concentration, and converges to the zero-order coefficient as it approaches the center value.
- the purpose of dilution by general titration includes reducing the titre and reducing the effect of inhibitory components to enable analysis, but the purpose is to measure fluorescent X-ray analysis according to another embodiment.
- the purpose of dilution is different.
- the measuring method of the fluorescent X-ray analysis in the embodiment of the present invention is effective to the liquid to be measured which contains the complexing agent, the reducing agent, the pH buffer and the like.
- the calibration curve polynomial determination step S32 determines a polynomial approximation of the calibration curve of the metal to be measured.
- the determination method is the same as the calibration curve polynomial determination step S11 except that the calibration curve reference solution is diluted.
- the liquid type correction coefficient determination step S33 determines a correction coefficient for correcting the error of the measured value due to the inclusion of the additive with respect to the measured value of the fluorescent X-ray intensity of the metal to be measured. Specifically, the same step as the liquid type correction polynomial determination step S12 is performed using the diluted liquid type correction reference solution, a polynomial is determined, and this polynomial is obtained in the metal concentration measurement step S34 described later.
- the liquid type correction coefficient is determined by substituting the X-ray intensity.
- the polynomial approximation in the liquid type correction coefficient determination step S33 can be calculated by a quadratic polynomial as shown in the above description of the dilution step.
- metal concentration measurement process S34 measures various metal concentration of the above-mentioned measurement object metal using the polynomial approximation formula determined by the above-mentioned calibration curve polynomial determination process S32, and the correction coefficient determined by the above-mentioned liquid type correction coefficient determination process S33 Do.
- the metal concentration measurement step S34 is the same as the step S14 described in "1-4. Metal concentration measurement step” except that the metal concentration measurement step S34 is calculated by substituting the liquid type correction polynomial and the specific gravity correction polynomial. Also, convert the concentration of the diluted portion.
- FIG. 13 is a block diagram showing an outline of a measuring apparatus 100 for fluorescent X-ray analysis according to an embodiment of the present invention. As described below, it is possible to incorporate the measurement method of X-ray fluorescence analysis according to an embodiment of the present invention into an apparatus, and to obtain the measurement apparatus 100 for X-ray fluorescence analysis according to an embodiment of the present invention .
- the measuring apparatus 100 for fluorescent X-ray analysis comprises the sampling means 101 for sampling the liquid to be measured, and the fluorescent X-ray intensity measurement value of the sampled liquid to be measured And a specific gravity measurement unit 103 for measuring the specific gravity measurement value of the sampled liquid to be measured, and a storage unit 104 and a calculation unit 105 in the control unit 106 such as a computer.
- the various metal concentrations of the solution to be measured are measured by the above means.
- sampling means 101 samples a liquid to be measured 107 such as a plating treatment liquid, and sends the liquid to be measured 107 to the fluorescent X-ray intensity measurement means 102 and the specific gravity measurement means 103.
- the X-ray fluorescence intensity measurement means 102 measures the X-ray fluorescence intensity measurement value of the liquid to be measured 107 received from the sampling means 101.
- a measurement means X-rays are applied to the elements in the solution, fluorescent X-rays specific to each element are generated, the generated X-rays are captured by a detector, and the X-ray intensity is measured.
- the measurement may be performed under general conditions using a general fluorescent X-ray apparatus.
- the specific gravity measuring means 103 measures the specific gravity measurement value of the liquid to be measured 107 received from the sampling means 101. As a measuring means, it may be measured under general conditions using a general specific gravity measuring device.
- the memory means 104 includes a calibration curve polynomial which is a polynomial approximation of the calibration curve of the metal to be measured, and a measured value by containing the additive with respect to the measured value of the fluorescent X-ray intensity of the metal to be measured.
- a calibration curve polynomial which is a polynomial approximation of the calibration curve of the metal to be measured
- a measured value by containing the additive with respect to the measured value of the fluorescent X-ray intensity of the metal to be measured is stored.
- the polynomial group stored in the storage means 104 can be determined by the calibration curve polynomial determination step S11, the liquid type correction polynomial determination step S12, and the specific gravity correction polynomial determination step S13 described above.
- the calculation means 105 calculates the various metal concentrations using the measured value of the fluorescent X-ray intensity, the measured specific gravity value and the polynomial group. As a specific calculation method, the method shown in the metal concentration measurement step S14 can be used.
- the calculation unit 105 performs calculation by calculation using a calculator such as a calculation device. In order to calculate the above, software (programming) is preferable.
- the concentration of various metals contained in the liquid to be measured may be 50 mg / L or less, 40 to 50 mg / L, 30 to 40 mg / L, 10 to 30 mg / L, or 1 to 10 mg / L.
- the metal concentration contained in the wastewater treatment solution containing the plating treatment solution, the plating treatment solution, and the solution such as the etching solution may be low, and even in such a low concentration situation, the measurement is accurately performed. be able to.
- a dilution means 108 for diluting the liquid to be measured may be used.
- the dilution means 108 dilutes the liquid to be measured sampled by the sampling means 101.
- the dilution method is as described in “1-5. Dilution step”.
- the fluorescent X-ray intensity measurement means 102 the specific gravity measurement means 103, the storage means 104, and the calculation means 105 are provided Even when the component type and mixing ratio of the additive contained in each case differ, or when the concentration of various metals and additives changes, the concentration of various metals can be measured with high accuracy. Further, it is possible to analyze a liquid having a wide range of various metal concentrations, for example, a metal concentration of 10 mg / L to 10 g / L. Furthermore, since it is a fluorescent X-ray apparatus, unlike ICP emission analysis, measurement of various metal concentrations in a short time becomes possible accurately. Furthermore, because it can be carried, it can be used in various situations. Therefore, for example, timely analysis of the liquid to be measured at the plating work site becomes possible. In addition, since timely analysis can be performed, additives used for a liquid to be measured such as a plating treatment liquid can be replenished timely.
- the apparatus for measuring various metal concentrations determines the various metal concentrations of the metal to be measured contained in the liquid to be measured containing one or more types of additives and metal based on the fluorescent X-ray intensity measurement value. taking measurement.
- the apparatus for measuring various metal concentrations according to another embodiment is, as shown in FIG. 13, a dilution means 108 for diluting the liquid to be measured and a fluorescent X-ray intensity measurement means 102 for measuring the fluorescent X-ray intensity measurement value. , Storage means 104, and calculation means 105.
- the description which overlaps with "3. Measuring device of various metal concentration" is omitted.
- the dilution means 108 uses water or the like to dilute the concentration of the metal contained in the liquid to be measured to 10 to 200 ppm.
- the X-ray fluorescence intensity measurement means 102 measures the X-ray fluorescence intensity measurement value of the diluted measurement liquid obtained by diluting the measurement liquid 107 received from the sampling means 101 by the dilution means 108.
- a measurement means X-rays are applied to the elements in the solution, fluorescent X-rays specific to each element are generated, the generated X-rays are captured by a detector, and the X-ray intensity is measured.
- the measurement may be performed under general conditions using a general fluorescent X-ray apparatus.
- the storage unit 104 stores a dilution formula in which the concentration of the metal contained in the liquid to be measured is diluted to 10 to 200 ppm. Therefore, the dilution means 108 is diluted with water or the like so as to have a concentration of 10 to 200 ppm as calculated by the dilution formula. Further, the storage unit 104 includes the additive with respect to the calibration curve polynomial which is a polynomial approximation of the calibration curve of the measurement target metal and the fluorescence X-ray intensity measurement value of the measurement target metal. A correction coefficient for correcting an error of the measured value is stored. That is, the specific gravity correction polynomial is not stored here. The specific gravity correction becomes unnecessary.
- the calculation means 105 calculates the various metal concentrations using the measured value of the fluorescent X-ray intensity and the correction coefficient.
- the calculation unit 105 performs calculation by calculation using a calculator such as a calculation device.
- the liquid type correction coefficient is not a method of calculating by polynomial approximation, but becomes a fixed correction coefficient of one point, so the calculation formula of correction becomes simple.
- the correction of specific gravity is unnecessary, and the concentration of various metals contained in the liquid to be measured can be measured with high accuracy.
- Example 1 In Example 1, a plating solution containing a plurality of additives and Au and Co as metals to be measured was used as the liquid to be measured.
- the metal concentration of the plating solution was measured by ICP (high frequency inductively coupled plasma) emission analysis, and the concentrations were Au: 3.21 g / L and Co: 174 mg / L.
- the calibration curve polynomial of the plating solution is determined by the calibration curve polynomial determination step S11 using the test solution of which the metal concentration is known, and the plating solution is determined by the liquid type correction polynomial determination step S12.
- the specific gravity correction polynomial of the plating solution was determined by the specific gravity correction polynomial determination step S13, and the metal concentration of the plating solution was measured by the metal concentration measurement step S14.
- calibration curve reference containing only Au and Co among the components of the plating solution and no other components (additives) and having different concentrations of Au and Co, respectively.
- Eight types of solutions were prepared, and the fluorescent X-ray intensities were measured, respectively, and the calibration curve intensities A1, A2. . . , A8, and applied to the calibration curve polynomial determination step S11 to determine the calibration curve polynomial X of the plating solution.
- liquid type correction polynomial determination step S12 a liquid type correction reference solution containing Au and Co having the same concentration as the above-described eight types of calibration curve reference solutions and the above-described additive having the optimum concentration when using the plating solution. 8 types of solutions are prepared, and the fluorescent X-ray intensities of the respective solutions are measured. . . , B8 and applied to the liquid type correction polynomial determination step S12 to determine the liquid type correction polynomial Y of the plating solution.
- the specific gravity correction polynomial determination step S13 while the concentrations of Au and Co are made optimum when using the plating solution, seven types of specific gravity correction reference solutions in which the concentrations of the additives are variously changed Then, the fluorescent X-ray intensities of the respective solutions are measured, and the first specific gravity correction intensities D1, D2. . . , D7, the specific gravity of each solution is measured, and the reference specific gravity E1, E2. . . , And E7, which are applied to the specific gravity correction polynomial determination step S13 to determine the specific gravity correction polynomial Z of the plating solution.
- the plating solution is sampled (sampling step), and the fluorescent X-ray intensity of the sampled plating solution is measured to obtain a first measurement intensity (fluorescent X-ray intensity measurement step).
- the specific gravity of the plating solution is measured and used as the measured specific gravity (specific gravity measurement step), the first measured strength, the measured specific gravity, the calibration curve polynomial X, the liquid type correction polynomial Y and the specific gravity correction polynomial Z
- concentration of Au and Co in the plating solution was calculated according to the calculation step S24. This metal concentration measurement process was performed ten times. The above results are shown in Table 1.
- Example 2 In Example 2, the metal concentration of the plating solution was changed to Au: 4.16 g / L, Co: 157 mg / L. The other measuring methods were the same as in Example 1. The above results are shown in Table 2.
- Example 3 In Example 3, a plating solution containing a plurality of additives and Au as a metal to be measured was used as the liquid to be measured.
- the metal concentration of the plating solution was measured by ICP (high frequency inductively coupled plasma) emission analysis, and the concentration was Au: 3.13 g / L.
- the above-mentioned liquid having a known metal concentration was diluted so that the concentration of the liquid became 60 ppm.
- the calibration curve polynomial of the plating solution is determined by the calibration curve polynomial determination step S31
- the correction coefficient for correcting the error of the measured value is determined by the liquid type correction coefficient determination step S33
- the specific gravity correction polynomial determination step is The metal concentration of the plating solution was measured ten times in the metal concentration measurement step S34 without performing. The above results are shown in Table 3.
- Comparative Example 1 In Comparative Example 1, the metal calculated by substituting the fluorescent X-ray intensity of the sampled plating solution into the calibration curve polynomial X without using the measuring method of the fluorescent X-ray analysis of the present invention for the plating solution of Example 1 The concentration was taken as the analysis result. The results are shown in Table 4.
- Comparative Example 2 In Comparative Example 2, the plating solution of Example 2 is calculated by substituting the fluorescent X-ray intensity of the sampled plating solution into the calibration curve polynomial of the plating solution without using the measurement method of the fluorescent X-ray analysis of the present invention. The metal concentration was taken as the analysis result. The above results are shown in Table 5.
- Comparative Example 3 In Comparative Example 3, for the plating solution of Example 3, the fluorescent X-ray intensity of the non-diluted plating solution thus sampled was compared with that of Example 3 without using the measurement method of X-ray fluorescence analysis according to one embodiment of the present invention. The metal concentration calculated by substituting the calibration curve polynomial X was taken as the analysis result. The above results are shown in Table 6.
- Example 1 as shown in Table 1, the concentration calculated from the fluorescent X-ray intensity is approximately 3.22 g / L as an average of the concentrations measured ten times with respect to the known Au concentration of 3.21 g / L. The same value was obtained, and the standard deviation was 0.03, and the CV value (standard deviation divided by the average) was a very small value of 1.1. Also, for the known Co concentration of 174 mg / L, the concentration calculated from the fluorescent X-ray intensity is approximately the same value as the average of the concentration measured 10 times to 172 mg / L, the standard deviation is 6.45, and the CV value is It was a very small value of 3.7.
- the concentration calculated from the fluorescent X-ray intensity is 4.10 g / L as an average of the concentrations measured ten times with respect to the known Au concentration of 4.16 g / L.
- the standard deviation was 0.03, and the CV value was very small, such as 0.8.
- the concentration calculated from the X-ray fluorescence intensity is approximately the same value as the average of the concentration measured ten times at 161 mg / L, the standard deviation is 4.10, and the CV value is It was a very small value of 2.6.
- Example 3 As shown in Table 3, the concentration calculated from the fluorescent X-ray intensity is 3.13 g / L as an average of the concentrations measured ten times with respect to the known Au concentration of 3.13 g / L. The standard deviation was 0.01, and the CV value was very small, 0.4.
- Comparative Example 1 As shown in Table 4, with Au, the standard deviation was 0.03, and the CV value was 1.1, which is a very small value as in Example 1, but the known Au concentration is As compared with 3.21 g / L, the concentration calculated from the fluorescent X-ray intensity resulted in a large measurement error of 2.74 g / L on average of the concentrations measured ten times. Also in the case of Co, the standard deviation is 5.45 and the CV value is 3.7, which is a very small value as in Example 1.
- Comparative Example 2 As shown in Table 5, with Au, the standard deviation was 0.02, and the CV value was 0.8, which is a very small value as in Example 2, but the known Au concentration is As compared with 4.16 g / L, the concentration calculated from the X-ray fluorescence intensity shows a large measurement error of 3.00 g / L on average of the concentration measured ten times. In addition, also for Co, the standard deviation is 2.98 and the CV value is 2.6, which is a very small value as in Example 2.
- various metal concentrations of the metal to be measured contained in the liquid to be measured can be repeatedly and accurately measured. That is, the calibration curve can be correctly created by the measurement method of the fluorescent X-ray analysis according to one embodiment of the present invention, and it is accurately corrected without being influenced by the plurality of additives contained in the plating solution. Even when the component type and mixing ratio of the additive contained differ for each liquid type, or when the concentration change of various metals and additives occurs, the various metal concentrations can be measured accurately.
- the terms described together with the broader or synonymous different terms at least once can be replaced with the different terms anywhere in the specification or the drawings.
- the operation and configuration of the measurement method of the fluorescent X-ray analysis and the measurement device of the fluorescent X-ray analysis are not limited to those described in the embodiments and examples of the present invention, and various modifications can be made.
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Abstract
Description
1.各種金属濃度の測定方法
1-1.検量線多項式決定工程
1-2.液種補正多項式決定工程
1-3.比重補正多項式決定工程
1-4.金属濃度測定工程
1-5.希釈工程
2.他の実施形態に係る各種金属濃度の測定方法
3.各種金属濃度の測定装置
3-1.サンプリング手段
3-2.蛍光X線強度測定手段
3-3.比重測定手段
3-4.記憶手段
3-5.算出手段
3-6.希釈手段
4.他の実施形態に係る各種金属濃度の測定装置
図1は、本発明の一実施形態に係る各種金属濃度の測定方法の概略を示す工程図である。本発明の一実施形態に係る各種金属濃度の測定方法は、1種類以上の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する蛍光X線分析の測定方法である。そして、本発明の一実施形態に係る各種金属濃度の測定方法は、図1に示すように、検量線多項式決定工程S11、液種補正多項式決定工程S12、比重補正多項式決定工程S13及び金属濃度測定工程S14を有することを特徴とする。
検量線多項式決定工程S11から説明する。まず、蛍光X線強度を用いて定量を行うためには、X線強度と測定対象金属の各種金属濃度で検量線を作成し、多項式の近似曲線を算出する必要がある。具体的には、上記検量線多項式決定工程S11は、測定対象金属のみが含まれ添加剤は含まれない溶液の測定対象金属の濃度を変化させた検量線基準溶液を3種類以上作成し、それぞれ蛍光X線強度を測定し検量線強度A1,A2...,Anとし、(但しnは3以上の整数とする)、上記検量線基準溶液の測定対象金属の濃度を縦軸の値、上記検量線強度A1,A2...,Anを横軸の値としてグラフ上に3点以上の点をプロットし、上記グラフから多項式近似式を算出し、上記多項式近似式を検量線多項式と決定する。
(検量線多項式)
Au濃度(g/L)=1.07781277×10-10×(X線強度)2+4.89087647×10-5×(X線強度)-3.31795782×10-2・・・(1)
そこで、液種補正多項式決定工程S12にて、上記基準液及び上記液種補正用溶液の上記金属濃度を変化させて、X線強度に対して上記液種補正係数をプロットしたものを多項式で近似した近似曲線を用いて補正を行う。具体的には、上記検量線基準溶液各々に、上記被測定液を使用する際に含有させる上記添加剤の濃度と同じ濃度の上記添加剤を加えた液種補正基準溶液を3種類以上作成し、それぞれ蛍光X線強度を測定し液種補正強度B1,B2...,Bnとし、上記検量線強度A1,A2...,Anを用いて、式A1/B1,A2/B2...,An/Bnで表される値を液種補正係数C1,C2...,Cnとし、上記液種補正係数C1,C2...,Cnを縦軸の値、上記液種補正強度B1,B2...,Bnを横軸の値としてグラフ上に3点以上の点をプロットし、上記グラフから多項式近似式を算出し、上記多項式近似式を液種補正多項式と決定する。(但しnは3以上の整数とする)。
(めっき用処理液(I)液種補正多項式)
めっき用処理液(I)補正多項式=-1.176304401×10-20×(X線強度)4+3.734773138×10-15×(X線強度)3-3.918288266×10-10×(X線強度)2+ 1.269494772×10-5×(X線強度)+1.220713864・・・(2)
(めっき用処理液(II)液種補正多項式)
めっき用処理液(II)液種補正多項式=-1.15601383×10-20×(X線強度)4+2.833635253×10-15×(X線強度)3-2.370999176×10-10×(X線強度)2+4.169263348×10-6×(X線強度)+1.560132796・・・(3)
本発明の一実施形態に係る各種金属濃度の測定方法は、図1に示すように、比重補正多項式決定工程S13を有する。当該比重補正多項式決定工程S13は、上記被測定液の比重の違いによる測定値の誤差を補正するための多項式近似式を決定する。
(比重補正多項式)
比重補正多項式=-4.13956122×103×(比重)3+1.32499699×104×(比重)2-1.41314434×104×(比重)+5022.89613・・・(4)
金属濃度測定工程S14は、上記検量線多項式決定工程S11、上記液種補正多項式決定工程S12及び上記比重補正多項式決定工程S13により決定した多項式近似式を用いて上記測定対象金属の各種金属濃度を測定する工程である。以下、図10を用いながら金属濃度測定工程S14について、詳細に説明する。
また、上記検量線多項式決定工程S11の前に、さらに上記被測定液を希釈して希釈被測定液を得る希釈工程S10を有しても良い。希釈工程S10を有する場合は、検量線多項式決定工程S11及び液種補正多項式決定工程S12で用いる各種の基準溶液と、サンプリング工程S21でサンプリングする被測定液を希釈する。なお、比重補正多項式決定工程S13では希釈液ではなく原液を使用する。
式=-2.23810709×10-9×(X線強度)2+1.03856703×10-5×(X線強度)+ 0.96462610
次に他の実施形態に係る各種金属濃度の測定方法について説明する。他の実施形態に係る各種金属濃度の測定方法は、1種類以上の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する。そして、図11に示すように、上記測定方法は、希釈工程S31と、検量線多項式決定工程S32と、液種補正係数決定工程S33と、金属濃度測定工程S34を有する。
I=I0e-μx
(I0:照射された光子数,I:物質通過後の光子数,μ:物質毎の係数,x:距離)
で表される。μは測定対象外成分毎の係数、xは測定対象外成分の濃度もしくは測定対象金属の濃度となる。
次に、本発明の一実施形態に係る蛍光X線分析の測定装置について説明する。図13は、本発明の一実施形態に係る蛍光X線分析の測定装置100の概略を示すブロック図である。以下で説明するように、本発明の一実施形態に係る蛍光X線分析の測定方法を装置に組み込み、本発明の一実施形態に係る蛍光X線分析の測定装置100とすることが可能である。
サンプリング手段101は、めっき用処理液などの被測定液107をサンプリングし、蛍光X線強度測定手段102及び比重測定手段103に被測定液107を送る。
蛍光X線強度測定手段102では、サンプリング手段101から受け取った被測定液107の上記蛍光X線強度測定値を測定する。測定手段としては、溶液中の元素にX線を当て、各元素に固有の蛍光X線を発生させ、上記発生させたX線を検出器でとらえ、X線強度を測定する。一般的な蛍光X線装置を用い、一般的な条件により測定すればよい。
比重測定手段103では、サンプリング手段101から受け取った被測定液107の比重測定値を測定する。測定手段としては、一般的な比重測定装置を用い、一般的な条件により測定すればよい。
記憶手段104には、上記測定対象金属の検量線の多項式近似式である検量線多項式と、上記測定対象金属の上記蛍光X線強度測定値に対して、上記添加剤を含有することによる測定値の誤差を補正するための多項式近似式である液種補正多項式と、上記測定対象金属の蛍光X線強度測定値に対して、上記被測定液の比重の違いによる測定値の誤差を補正するための多項式近似式である比重補正多項式からなる多項式群が記憶されている。
算出手段105は、上記蛍光X線強度測定値、上記比重測定値及び上記多項式群を用いて上記各種金属濃度を算出する。具体的な算出方法としては、上記金属濃度測定工程S14に示す方法を用いることができる。算出手段105としては、演算装置などの算出器により算出して補正を行う。上記を算出するには、ソフトウェア化(プログラム化)することが好ましい。
さらに、図13に示すように、サンプリング手段101の後に被測定液を希釈する希釈手段108を用いても良い。希釈手段108は、サンプリング手段101によりサンプリングされた被測定液を希釈する。希釈方法は、「1-5.希釈工程」で説明した通りである。
他の実施形態に係る各種金属濃度の測定装置は、1種類以上の複数の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する。他の実施形態に係る各種金属濃度の測定装置は、図13に示すように、上記被測定液を希釈する希釈手段108と、上記蛍光X線強度測定値を測定する蛍光X線強度測定手段102と、記憶手段104と、算出手段105とを備える。なお、「3.各種金属濃度の測定装置」と重複する記載は割愛する。
実施例1では、被測定液に複数の添加剤と測定対象金属としてAu及びCoを含有しためっき液を用いた。また、上記めっき液の金属濃度は、ICP(高周波誘導結合プラズマ)発光分析により測定を行い、その濃度はそれぞれAu:3.21g/L、Co:174mg/Lであった。蛍光X線分析は、上記の金属濃度が既知の被測定液を用い、上記検量線多項式決定工程S11により上記めっき液の検量線多項式を決定し、上記液種補正多項式決定工程S12により上記めっき液の液種補正多項式を決定し、上記比重補正多項式決定工程S13により上記めっき液の比重補正多項式を決定し、上記金属濃度測定工程S14により上記めっき液の金属濃度を測定した。
実施例2では、上記めっき液の金属濃度を変え、Au:4.16g/L、Co:157mg/Lとした。その他の測定方法は実施例1と同様とした。以上の結果を表2に示す。
実施例3では、被測定液に複数の添加剤と測定対象金属としてAuを含有しためっき液を用いた。また、上記めっき液の金属濃度は、ICP(高周波誘導結合プラズマ)発光分析により測定を行い、その濃度はAu:3.13g/Lであった。上記の金属濃度が既知の被測定液を用い、希釈工程S31にて、その被測定液の濃度が60ppmになるように希釈した。そして、上記検量線多項式決定工程S31により上記めっき液の検量線多項式を決定し、液種補正係数決定工程S33により測定値の誤差を補正するための補正係数を決定し、比重補正多項式決定工程は行わず、金属濃度測定工程S34により上記めっき液の金属濃度を10回測定した。以上の結果を表3に示す。
比較例1では、実施例1のめっき液について、本発明の蛍光X線分析の測定方法を用いず、サンプリングした上記めっき液の蛍光X線強度を上記検量線多項式Xに代入して算出した金属濃度を分析結果とした。以上の結果を表4に示す。
比較例2では、実施例2のめっき液について、本発明の蛍光X線分析の測定方法を用いず、サンプリングした上記めっき液の蛍光X線強度を上記めっき液の検量線多項式に代入して算出した金属濃度を分析結果とした。以上の結果を表5に示す。
比較例3では、実施例3のめっき液について、本発明の一実施形態に係る蛍光X線分析の測定方法を用いず、サンプリングした希釈無の上記めっき液の蛍光X線強度を実施例3の検量線多項式Xに代入して算出した金属濃度を分析結果とした。以上の結果を表6に示す。
S31 希釈工程、S32 検量線多項式決定工程、S33 液種補正係数決定工程、S34 金属濃度測定工程
100 蛍光X線分析の測定装置、101 サンプリング手段、102 蛍光X線強度測定手段、103 比重測定手段、104 記憶手段、105 算出手段、106 制御部、107 被測定液、108 希釈手段
Claims (9)
- 1種類以上の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する蛍光X線分析の測定方法であって、
前記測定対象金属の検量線の多項式近似式を決定する検量線多項式決定工程と、
前記測定対象金属の前記蛍光X線強度測定値に対して、前記添加剤を含有することによる測定値の誤差を補正するための多項式近似式を決定する液種補正多項式決定工程と、
前記測定対象金属の前記蛍光X線強度測定値に対して、前記被測定液の比重の違いによる測定値の誤差を補正するための多項式近似式を決定する比重補正多項式決定工程と、
前記検量線多項式決定工程、前記液種補正多項式決定工程及び前記比重補正多項式決定工程により決定した多項式近似式を用いて前記測定対象金属の各種金属濃度を測定する金属濃度測定工程を有することを特徴とする蛍光X線分析の測定方法。 - 前記検量線多項式決定工程は、
前記測定対象金属のみが含まれ前記添加剤は含まれない溶液の前記測定対象金属の濃度を変化させた検量線基準溶液を3種類以上作成し、それぞれの蛍光X線強度を測定し検量線強度A1,A2...,Anとし、
前記検量線基準溶液の前記測定対象金属の濃度を縦軸の値、前記検量線強度A1,A2...,Anを横軸の値としてグラフ上に3点以上の点をプロットし、
前記グラフから多項式近似式を算出し、前記多項式近似式を検量線多項式とすることを特徴とする請求項1に記載の蛍光X線分析の測定方法。
(但しnは3以上の整数とする) - 前記液種補正多項式決定工程は、
前記検量線基準溶液各々に、前記被測定液を使用する際に含有させる前記添加剤の濃度と同じ濃度の前記添加剤を加えた液種補正基準溶液を3種類以上作成し、それぞれ蛍光X線強度を測定し液種補正強度B1,B2...,Bnとし、
式A1/B1,A2/B2...,An/Bnで表される値を液種補正係数C1,C2...,Cnとし、前記液種補正係数C1,C2...,Cnを縦軸の値、前記液種補正強度B1,B2...,Bnを横軸の値としてグラフ上に3点以上の点をプロットし、
前記グラフから多項式近似式を算出し、前記多項式近似式を液種補正多項式とすることを特徴とする請求項2に記載の蛍光X線分析の測定方法。
(但しnは3以上の整数とする) - 前記比重補正多項式決定工程は、
前記測定対象金属の濃度を、前記被測定液を使用する際の濃度とし、前記添加剤の濃度を変化させた比重補正基準溶液を3種類以上作成し、それぞれ蛍光X線強度を測定し第1比重補正強度D1,D2...,Dmとし、それぞれ比重を測定し基準比重E1,E2...,Emとし、
前記第1比重補正強度D1,D2...,Dmを前記液種補正多項式に代入し得られた前記液種補正係数をそれぞれの前記第1比重補正強度D1,D2...,Dmに乗じた値を第2比重補正強度F1,F2...,Fmとし、
前記比重補正基準溶液のうち、前記添加剤の濃度が前記被測定液を使用する際に含有させる濃度と同じである前記比重補正基準溶液の蛍光X線強度を測定し第3比重補正強度Dpとし、
前記第3比重補正強度Dpを前記液種補正多項式に代入し得られた前記液種補正係数を前記第3比重補正強度Dpに乗じた値を第4比重補正強度Gpとし、
式Gp/F1,Gp/F2...,Gp/Fmで表される値を比重補正係数H1,H2...,Hmとし、
前記比重補正係数H1,H2...,Hmを縦軸の値、前記基準比重E1,E2...,Emを横軸の値としてグラフ上に3点以上の点をプロットし、前記グラフから多項式近似式を算出し、前記多項式近似式を比重補正多項式とすることを特徴とする請求項3に記載の蛍光X線分析の測定方法。
(但しmは3以上の整数とする) - 前記金属濃度測定工程は、
前記被測定液の蛍光X線強度を測定し第1測定強度とする蛍光X線強度測定工程と、
前記被測定液の比重を測定し測定比重とする比重測定工程と、
前記蛍光X線強度、前記比重、前記検量線多項式、前記液種補正多項式及び前記比重補正多項式を用いて前記測定対象金属の濃度を算出する金属濃度算出工程とを有し、
前記金属濃度算出工程は、前記第1測定強度を前記液種補正多項式に代入し得られた前記液種補正係数に前記第1測定強度を乗じた値を第2測定強度とし、前記測定比重を前記比重補正多項式に代入し得られた前記比重補正係数を前記第2測定強度に乗じた値を第3測定強度とし、前記第3測定強度を前記検量線多項式に代入し算出した前記測定対象金属の濃度を前記被測定液の前記測定対象金属の濃度の測定結果とすることを特徴とする請求項4に記載の蛍光X線分析の測定方法。 - 前記検量線多項式決定工程の前に、さらに前記被測定液を希釈して希釈被測定液を得る希釈工程を有し、
前記希釈被測定液を用いて、少なくとも前記液種補正多項式決定工程を行うことを特徴とする請求項1に記載の蛍光X線分析の測定方法。 - 1種類以上の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する蛍光X線分析の測定方法であって、
前記被測定液を希釈して希釈被測定液を得る希釈工程と、
前記測定対象金属の検量線の多項式近似式を決定する検量線多項式決定工程と、
前記測定対象金属の前記蛍光X線強度測定値に対して、前記添加剤を含有することによる測定値の誤差を補正するための補正係数を決定する液種補正係数決定工程と、
前記検量線多項式決定工程により決定した多項式近似式と、前記液種補正係数決定工程により決定した補正係数を用いて前記測定対象金属の各種金属濃度を測定する金属濃度測定工程を有し、
前記希釈工程では、前記測定対象金属の濃度が10~200ppmになるように希釈することを特徴とする蛍光X線分析の測定方法。 - 1種類以上の複数の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する蛍光X線分析の測定装置であって、
前記蛍光X線強度測定値を測定する蛍光X線強度測定手段と、
前記被測定液の比重測定値を測定する比重測定手段と、
記憶手段と、
算出手段とを備え、
前記記憶手段は、前記測定対象金属の検量線の多項式近似式である検量線多項式と、
前記測定対象金属の前記蛍光X線強度測定値に対して、前記添加剤を含有することによる測定値の誤差を補正するための多項式近似式である液種補正多項式と、
前記測定対象金属の蛍光X線強度測定値に対して、前記被測定液の比重の違いによる測定値の誤差を補正するための多項式近似式である比重補正多項式からなる多項式群が記憶されており、
前記算出手段は、前記蛍光X線強度測定値、前記比重測定値及び前記多項式群を用いて前記各種金属濃度を算出することを特徴とする蛍光X線分析の測定装置。 - 1種類以上の複数の添加剤と金属を含有する被測定液に含まれる測定対象金属の各種金属濃度を蛍光X線強度測定値に基づいて測定する蛍光X線分析の測定装置であって、
前記被測定液を希釈する希釈手段と、
前記蛍光X線強度測定値を測定する蛍光X線強度測定手段と、
記憶手段と、
算出手段とを備え、
前記記憶手段は、前記被測定液に含まれる金属の濃度が10~200ppmに希釈される希釈式と、
前記測定対象金属の検量線の多項式近似式である検量線多項式と、
前記測定対象金属の前記蛍光X線強度測定値に対して、前記添加剤を含有することによる測定値の誤差を補正するための補正係数が記憶されており、
前記算出手段は、前記蛍光X線強度測定値、前記補正係数を用いて前記各種金属濃度を算出することを特徴とする蛍光X線分析の測定装置。
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