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CN116538985A - Surface treatment layer thickness measurement method - Google Patents

Surface treatment layer thickness measurement method Download PDF

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CN116538985A
CN116538985A CN202310425558.3A CN202310425558A CN116538985A CN 116538985 A CN116538985 A CN 116538985A CN 202310425558 A CN202310425558 A CN 202310425558A CN 116538985 A CN116538985 A CN 116538985A
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normal distribution
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CN116538985B (en
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虞永杰
杨扬
王涛
周鑫明
刘冬雪
董恒玮
黄婷
范玲玲
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Chengdu Aircraft Industrial Group Co Ltd
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    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/02Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
    • G01B21/08Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness for measuring thickness
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Abstract

The invention discloses a method for measuring the thickness of a surface treatment layer, which comprises the following steps: obtaining standard normal distribution curves corresponding to different metal elements in standard samples of surface treatment layers with different thicknesses, wherein the normal distribution curves are relationship curves between element content and probability density of a certain element at a certain thickness; obtaining a sample normal distribution curve corresponding to each metal element of a sample to be detected; and obtaining the thickness value of the surface treatment layer calculated based on different metal elements of the sample to be measured one by one according to the standard normal distribution curve corresponding to each metal element under different standard thicknesses and the sample normal distribution curve corresponding to the corresponding metal element of the sample to be measured, so as to obtain the thickness of the surface treatment layer of the sample to be measured. The method can realize the rapid and nondestructive measurement of the thickness of the surface treatment layer, is not limited by a measurement area, has no too much limitation on the materials of the substrate of the sample to be measured and the surface treatment layer, and has wide applicability.

Description

表面处理层厚度测量方法Surface treatment layer thickness measurement method

技术领域technical field

本发明属于测量技术领域,具体涉及一种表面处理层厚度测量方法。The invention belongs to the technical field of measurement, and in particular relates to a method for measuring the thickness of a surface treatment layer.

背景技术Background technique

现有的表面处理层测量技术中,通常采用磁性测厚、涡流测厚、螺旋千分尺测厚等测量方法,但这些方法在实际测量中都有一定的局限性;如磁性测厚方法需要基体或表面处理层具有磁性;涡流测厚方法则需要基体、表面处理层具有导电性能;采用螺旋千分尺则仅适用于基体边界区域的测厚,而无法实现对中间区域表面处理层的测量。In the existing surface treatment layer measurement technology, measurement methods such as magnetic thickness measurement, eddy current thickness measurement, and spiral micrometer thickness measurement are usually used, but these methods have certain limitations in actual measurement; for example, the magnetic thickness measurement method requires substrate or The surface treatment layer is magnetic; the eddy current thickness measurement method requires the substrate and the surface treatment layer to have electrical conductivity; the use of a spiral micrometer is only suitable for thickness measurement in the boundary area of the substrate, and cannot measure the surface treatment layer in the middle area.

发明内容Contents of the invention

本发明的目的在于提供一种表面处理层厚度测量方法,解决现有测量方式适用性方面受限、通用性较差的问题。The purpose of the present invention is to provide a method for measuring the thickness of the surface treatment layer, which solves the problems of limited applicability and poor versatility of existing measurement methods.

本发明通过下述技术方案实现:The present invention realizes through following technical scheme:

表面处理层厚度测量方法,包括以下步骤:The method for measuring the thickness of the surface treatment layer comprises the following steps:

S01、获取不同厚度表面处理层的标准样品中各个不同金属元素所对应的标准正态分布曲线,所述正态分布曲线为在某一厚度下某一元素的元素含量与概率密度之间的关系曲线;S01. Obtain the standard normal distribution curve corresponding to each different metal element in the standard sample of the surface treatment layer with different thicknesses, the normal distribution curve is the relationship between the element content and the probability density of a certain element under a certain thickness curve;

S02、获取待测样品各个金属元素所对应的样品正态分布曲线;S02. Obtain the sample normal distribution curve corresponding to each metal element of the sample to be tested;

S03、根据不同标准厚度下各个金属元素所对应的标准正态分布曲线与待测样品相应金属元素所对应的样品正态分布曲线,逐一获取基于待测样品不同金属元素计算得到的表面处理层厚度值,得到待测样品表面处理层厚度。S03. According to the standard normal distribution curve corresponding to each metal element under different standard thicknesses and the sample normal distribution curve corresponding to the corresponding metal element of the sample to be tested, the thickness of the surface treatment layer calculated based on the different metal elements of the sample to be tested is obtained one by one. value to obtain the thickness of the surface treatment layer of the sample to be tested.

作为上述技术方案的进一步改进,步骤S01中包括:As a further improvement of the above technical solution, step S01 includes:

S011、制备具有不同厚度表面处理层的标准样品;S011, preparing standard samples with surface treatment layers of different thicknesses;

S012、测量标准样品表面处理层厚度;S012, measuring the thickness of the surface treatment layer of the standard sample;

S013、对不同厚度下标准样品中的金属元素含量进行多次测量,得到不同厚度下表面处理层中各个不同金属元素所对应的标准正态分布曲线。S013, performing multiple measurements on the metal element content in the standard sample with different thicknesses, and obtaining the standard normal distribution curves corresponding to the different metal elements in the surface treatment layer with different thicknesses.

作为上述技术方案的进一步改进,获取标准样品中含量不小于0.1%的所有金属元素所对应的标准正态分布曲线。As a further improvement of the above technical solution, standard normal distribution curves corresponding to all metal elements with a content of not less than 0.1% in the standard sample are obtained.

作为上述技术方案的进一步改进,步骤S012中,采用磁性测厚仪、涡流测厚仪、螺旋千分尺对标准样品上指定区域的表面处理厚度进行多次测量,得到标准样品表面处理层厚度。As a further improvement of the above technical solution, in step S012, a magnetic thickness gauge, an eddy current thickness gauge, and a screw micrometer are used to measure the surface treatment thickness of the specified area on the standard sample multiple times to obtain the surface treatment layer thickness of the standard sample.

作为上述技术方案的进一步改进,所述指定区域为步骤S013中对标准样品中的金属元素含量进行测量的位置。As a further improvement of the above technical solution, the designated area is the position where the metal element content in the standard sample is measured in step S013.

作为上述技术方案的进一步改进,对待测样品中的金属元素含量进行多次测量,得到待测样品各个金属元素所对应的样品正态分布曲线。As a further improvement of the above technical solution, the metal element content in the sample to be tested is measured multiple times to obtain the normal distribution curve of the sample corresponding to each metal element in the sample to be tested.

作为上述技术方案的进一步改进,获取待测样品中含量不小于0.1%的所有金属元素所对应的样品正态分布曲线。As a further improvement of the above technical solution, the normal distribution curve of the sample corresponding to all the metal elements whose content is not less than 0.1% in the sample to be tested is obtained.

作为上述技术方案的进一步改进,对待测样品中的金属元素含量进行测量所采用的测试设备、测试方法、测试参数与对标准样品进行测试的测试条件相同。As a further improvement of the above technical solution, the test equipment, test method, and test parameters used to measure the metal element content in the sample to be tested are the same as the test conditions for the standard sample.

作为上述技术方案的进一步改进,步骤S03中包括:As a further improvement of the above technical solution, step S03 includes:

S031、将各个不同标准厚度下某一金属元素所对应的标准正态分布曲线与待测样品对应金属元素的样品正态分布曲线进行拟合;S031, fitting the standard normal distribution curve corresponding to a certain metal element under each different standard thickness with the sample normal distribution curve corresponding to the metal element of the sample to be tested;

S032、获取与样品正态分布曲线两侧紧邻的两条标准正态分布曲线,根据样品正态分布曲线与两条标准正态分布曲线之间的重合面积或均值间距或交点位置得到由该金属元素计算得到的表面处理层厚度值;S032. Obtain two standard normal distribution curves adjacent to both sides of the normal distribution curve of the sample, and obtain the metal by the metal according to the overlap area or mean distance or intersection point between the normal distribution curve of the sample and the two standard normal distribution curves. The thickness value of the surface treatment layer calculated by the element;

S033、对步骤S032中所得到的各个表面处理层厚度值进行处理得到待测样品表面处理层厚度。S033. Process the thickness values of each surface treatment layer obtained in step S032 to obtain the thickness of the surface treatment layer of the sample to be tested.

作为上述技术方案的进一步改进,步骤S032中根据某一金属元素计算表面处理层厚度值,包括:As a further improvement of the above technical solution, in step S032, the thickness value of the surface treatment layer is calculated according to a certain metal element, including:

获取样品正态分布曲线与两条标准正态分布曲线之间的重合面积率,所述重合面积率为标准正态分布曲线和样品正态分布曲线之间的重合面积与对应标准正态分布曲线面积的比值;Obtain the coincidence area ratio between the sample normal distribution curve and two standard normal distribution curves, the coincidence area ratio between the standard normal distribution curve and the sample normal distribution curve and the corresponding standard normal distribution curve area ratio;

当样品正态分布曲线与两条标准正态分布曲线的重合面积率均不小于5%时,该金属元素对应计算得到的表面处理层厚度为:When the overlapping area ratio of the normal distribution curve of the sample and the two standard normal distribution curves is not less than 5%, the thickness of the surface treatment layer corresponding to the calculation of the metal element is:

其中,A为左侧标准正态分布曲线对应的标准厚度值,B为右侧标准正态分布曲线对应的标准厚度值,n1%为左侧标准正态分布曲线对应的重合面积率,n2%为右侧标准正态分布曲线对应的重合面积率;Among them, A is the standard thickness value corresponding to the standard normal distribution curve on the left side, B is the standard thickness value corresponding to the standard normal distribution curve on the right side, n 1 % is the overlapping area ratio corresponding to the standard normal distribution curve on the left side, n 2 % is the overlap area ratio corresponding to the standard normal distribution curve on the right;

当样品正态分布曲线与两条标准正态分布曲线的重合面积率均小于5%时,该金属元素对应计算得到的表面处理层厚度为:When the overlapping area ratio of the normal distribution curve of the sample and the two standard normal distribution curves is less than 5%, the calculated thickness of the surface treatment layer corresponding to the metal element is:

其中,N为待测样品该元素含量的平均值,N1为左侧标准正态分布曲线对应的该元素含量的平均值,N2为右侧标准正态分布曲线对应的该元素含量的平均值;Among them, N is the average value of the element content of the sample to be tested, N 1 is the average value of the element content corresponding to the left standard normal distribution curve, N 2 is the average value of the element content corresponding to the right standard normal distribution curve value;

当样品正态分布曲线与两条标准正态分布曲线的重合面积率中,其中一侧的重合面积率不小于5%,另一侧小于5%时,由该金属元素对应计算得到的表面处理层厚度为:When the overlap area ratio of the normal distribution curve of the sample and two standard normal distribution curves is not less than 5% on one side and less than 5% on the other side, the surface treatment obtained by corresponding calculation of the metal element The layer thickness is:

获取重合面积率不小于5%的这一侧对应的标准正态分布曲线与样品正态分布曲线之间的交点以及该交点对应的金属元素含量,根据对应的金属元素含量在金属元素含量与表面处理层厚度标准曲线上得到对应的厚度值,即为由该金属元素对应计算得到的表面处理层厚度。Obtain the intersection point between the standard normal distribution curve corresponding to the side where the overlapping area ratio is not less than 5% and the sample normal distribution curve and the metal element content corresponding to the intersection point. According to the corresponding metal element content in the metal element content and the surface The corresponding thickness value obtained from the standard curve of the treatment layer thickness is the thickness of the surface treatment layer calculated correspondingly from the metal element.

本发明与现有技术相比,具有以下优点及有益效果:Compared with the prior art, the present invention has the following advantages and beneficial effects:

本发明基于标准厚度表面处理层的基体多种元素与厚度之间的关系,建立用于厚度测量的标准数据库,通过对待测样品的元素进行测量以实现对表面处理层厚度的测量,可实现对表面处理层厚度的快速、无损测量,不受测量区域的限制,且对待测样品基体及表面处理层的材料也没有太多的限制,具有广泛的适用性。The present invention establishes a standard database for thickness measurement based on the relationship between various elements and thickness of the substrate of the surface treatment layer with a standard thickness, and realizes the measurement of the thickness of the surface treatment layer by measuring the elements of the sample to be measured. The rapid and non-destructive measurement of the thickness of the surface treatment layer is not limited by the measurement area, and there are not too many restrictions on the materials of the substrate of the sample to be tested and the surface treatment layer, and has wide applicability.

附图说明Description of drawings

为了更清楚地说明本发明实施例的技术方案,下面将对实施例中的附图作简单地介绍,应当理解,以下附图仅示出了本发明的某些实施例,因此不应被看作是对范围的限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他相关的附图。In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention, and therefore should not be viewed The scope is limited, and those skilled in the art can also obtain other related drawings based on these drawings without creative work.

图1为本发明测量方法实施例中制备的标准样品。Fig. 1 is the standard sample prepared in the embodiment of the measuring method of the present invention.

图2为本发明测量方法实施例中不同厚度标准样品Fe元素对应的标准正态分布曲线。Fig. 2 is a standard normal distribution curve corresponding to Fe elements in standard samples with different thicknesses in the embodiment of the measurement method of the present invention.

图3为本发明测量方法实施例中待测样品Fe元素对应的样品正态分布曲线。Fig. 3 is a sample normal distribution curve corresponding to the Fe element of the sample to be tested in the embodiment of the measurement method of the present invention.

图4为本发明测量方法实施例中对标准正态分布曲线与样品正态分布曲线进行拟合的一种情况示意图。Fig. 4 is a schematic diagram of a situation of fitting the standard normal distribution curve and the sample normal distribution curve in the embodiment of the measurement method of the present invention.

图5为本发明测量方法实施例中对标准正态分布曲线与样品正态分布曲线进行拟合的另一种情况示意图。Fig. 5 is a schematic diagram of another situation of fitting the standard normal distribution curve and the sample normal distribution curve in the embodiment of the measurement method of the present invention.

图6为本发明测量方法实施例中对标准正态分布曲线与样品正态分布曲线进行拟合的另一种情况示意图。Fig. 6 is a schematic diagram of another situation of fitting the standard normal distribution curve and the sample normal distribution curve in the embodiment of the measurement method of the present invention.

图7为Fe元素含量与表面处理层厚度标准对应曲线。Fig. 7 is a standard corresponding curve of Fe element content and surface treatment layer thickness.

具体实施方式Detailed ways

为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments It is a part of embodiments of the present invention, but not all embodiments.

本发明基于标准厚度表面处理层的基体多种元素与厚度之间的关系,建立用于厚度测量的标准数据库,通过对待测样品的元素进行测量以实现对表面处理层厚度的测量,可实现对表面处理层厚度的快速、无损测量,不会受到测量区域的限制,对待测样品的基体及表面处理层的材料没有限制,仅需要其含有金属元素即能够采用该方法进行测量。The present invention establishes a standard database for thickness measurement based on the relationship between various elements and thickness of the substrate of the surface treatment layer with a standard thickness, and realizes the measurement of the thickness of the surface treatment layer by measuring the elements of the sample to be measured. The rapid and non-destructive measurement of the thickness of the surface treatment layer will not be limited by the measurement area. There is no restriction on the substrate of the sample to be tested and the material of the surface treatment layer. It can be measured by this method only if it contains metal elements.

在一实施例中,表面处理层厚度测量方法包括以下步骤:In one embodiment, the method for measuring the thickness of the surface treatment layer includes the following steps:

S01、按照正常产品制造工艺在已知金属基体材料表面进行表面处理,制备得到具有不同表面处理层后的多个标准样品;标准样品中表面处理层的厚度一般不小于5um,且各标准样品的表面处理层厚度一般应覆盖所需测试厚度的上限和下限厚度值。一般标准样品上应预留部分面积不进行表面处理,用于识别金属基体材质。S01. Perform surface treatment on the surface of known metal matrix materials according to the normal product manufacturing process, and prepare multiple standard samples with different surface treatment layers; the thickness of the surface treatment layer in standard samples is generally not less than 5um, and the thickness of each standard sample The thickness of the surface treatment shall generally cover the upper and lower thickness values for the required test thickness. Generally, part of the area on the standard sample should be reserved without surface treatment to identify the metal substrate material.

对标准样品的表面处理层进行清洗,对表面处理层的厚度进行测量。测量可采用标准测量工具,可采用如磁性测厚仪、涡流测厚仪、螺旋千分尺等仪器进行测量。在标准样品的指定区域采用多次重复多点测量的方式进行测量,该指定区域通常为测量金属元素的区域,计算厚度测量值的标准平均值和标准差。测量次数应不低于7次/点,如测量数据波动较大,则应增加测量的次数。Clean the surface treatment layer of the standard sample, and measure the thickness of the surface treatment layer. Standard measuring tools can be used for measurement, such as magnetic thickness gauge, eddy current thickness gauge, screw micrometer and other instruments can be used for measurement. The specified area of the standard sample is measured by repeated multi-point measurement. The specified area is usually the area where metal elements are measured, and the standard average and standard deviation of the thickness measurement values are calculated. The number of measurements should not be less than 7 times/point. If the measurement data fluctuates greatly, the number of measurements should be increased.

采用X射线荧光光谱分析仪对不同表面处理层厚度的标准样品进行测量,在指定区域进行多次测量,测量金属元素的含量。记录含量≥0.1%的所有金属元素的测量值,并分别计算其标准平均值和标准差。The X-ray fluorescence spectrometer is used to measure standard samples with different surface treatment layer thicknesses, and multiple measurements are made in designated areas to measure the content of metal elements. Record the measured values of all metal elements with content ≥0.1%, and calculate their standard mean and standard deviation respectively.

基于上述测量所得到的标准样品表面处理层的厚度以及对应的各标准样品不同金属元素的测量值,建立不同厚度表面处理层的标准样品中各个不同金属元素所对应的标准正态分布曲线,正态分布曲线中横坐标为元素百分比含量,纵坐标为测量数值的概率密度,形成不同厚度表面处理层对应的标准样品中不同金属元素对应的标准数据库。这里的概率密度是指在进行多次测量时,测量得到同一测量值所对应的次数。Based on the thickness of the surface treatment layer of the standard sample obtained by the above measurement and the measured values of the different metal elements of the corresponding standard samples, the standard normal distribution curve corresponding to each different metal element in the standard sample of the surface treatment layer with different thicknesses is established. In the state distribution curve, the abscissa is the element percentage content, and the ordinate is the probability density of the measured value, forming a standard database corresponding to different metal elements in standard samples corresponding to different thickness surface treatment layers. The probability density here refers to the number of times corresponding to the same measured value when multiple measurements are made.

S02、测量待测样品的金属元素含量,测量所采用的测试设备、测试模式以及测试工艺参数与测量标准样品时所采用的完全相同,测量的次数一般不少于5次/点,记录含量≥0.1%的所有金属元素的测量值,并分别计算其标准平均值和标准差。S02. Measure the metal element content of the sample to be tested. The test equipment, test mode and test process parameters used for the measurement are exactly the same as those used for the standard sample. The number of measurements is generally not less than 5 times/point, and the recorded content is ≥ 0.1% of the measured values of all metal elements, and calculate their standard mean and standard deviation respectively.

基于测量值得到待测样品各个金属元素所对应的样品正态分布曲线。The sample normal distribution curve corresponding to each metal element of the sample to be tested is obtained based on the measured value.

S03、根据不同标准厚度下各个金属元素所对应的标准正态分布曲线与待测样品相应金属元素所对应的样品正态分布曲线,逐一获取基于待测样品不同金属元素计算得到的表面处理层厚度值,得到待测样品表面处理层厚度。S03. According to the standard normal distribution curve corresponding to each metal element under different standard thicknesses and the sample normal distribution curve corresponding to the corresponding metal element of the sample to be tested, the thickness of the surface treatment layer calculated based on the different metal elements of the sample to be tested is obtained one by one. value to obtain the thickness of the surface treatment layer of the sample to be tested.

该步骤中,将各个不同标准厚度下某一金属元素所对应的标准正态分布曲线与待测样品对应金属元素的样品正态分布曲线进行拟合;然后获取与样品正态分布曲线两侧紧邻的两条标准正态分布曲线,根据样品正态分布曲线与两条标准正态分布曲线之间的重合面积或均值间距或交点位置得到由该金属元素计算得到的表面处理层厚度值;最后对所得到的各个表面处理层厚度值进行处理得到待测样品表面处理层厚度。In this step, the standard normal distribution curve corresponding to a certain metal element under each different standard thickness is fitted with the sample normal distribution curve of the corresponding metal element of the sample to be tested; Two standard normal distribution curves, according to the coincidence area or mean distance or intersection point position between the sample normal distribution curve and the two standard normal distribution curves, the surface treatment layer thickness value calculated by the metal element is obtained; The obtained thickness values of each surface treatment layer are processed to obtain the thickness of the surface treatment layer of the sample to be tested.

下面结合具体的实施例对本发明测量方法进行进一步的说明。The measuring method of the present invention will be further described below in conjunction with specific examples.

1)按照正常产品工艺制造流程在已知金属基体(30CrMnSiA)的表面进行表面处理(D.Cd),得到3个厚度区间分别为5~12um、12~18um、18~25um的标准样品,标准样品背面不进行表面处理,用于后续金属基体的成分测试;所制备的标准样品如图1所示。1) Perform surface treatment (D.Cd) on the surface of the known metal substrate (30CrMnSiA) according to the normal product manufacturing process, and obtain 3 standard samples with thickness ranges of 5-12um, 12-18um, and 18-25um. The back of the sample is not subjected to surface treatment, and is used for subsequent component testing of the metal matrix; the prepared standard sample is shown in Figure 1.

2)采用丙酮对标准样品的表面进行擦拭清洗去除可能影响分析的表面污染物,采用镀膜层测厚仪在标准样品的指定区域进行多次重复多点的厚度测量,并计算测量所得到的标准平均值和标准差。2) Use acetone to wipe and clean the surface of the standard sample to remove surface pollutants that may affect the analysis, use a coating thickness gauge to perform multiple repeated multi-point thickness measurements on the designated area of the standard sample, and calculate the measured standard mean and standard deviation.

其中,标准平均值的计算公式为:Among them, the formula for calculating the standard average value is:

xi为第i个测量值; x i is the ith measured value;

标准差的计算公式为:The formula for calculating the standard deviation is:

3)采用射线荧光光普分析仪X-MET7500,选择测量模式为Alloy LE Mode以及测试工艺参数(常规焦点测试)测量标准样品的金属元素含量,测量次数8次/点。记录带有表面处理层的基体中含量≥0.1%的金属元素如Fe、Cr、Mn、Cd、Co等元素的测量值,并计算其标准平均值和标准差。3) Use the X-MET7500 X-ray fluorescence analyzer, select the measurement mode as Alloy LE Mode and the test process parameters (conventional focus test) to measure the metal element content of the standard sample, and the number of measurements is 8 times/point. Record the measured values of metal elements such as Fe, Cr, Mn, Cd, Co and other elements with a content of ≥0.1% in the substrate with a surface treatment layer, and calculate their standard average and standard deviation.

4)采用Minitab软件绘制标准样品上述各个金属元素对应的标准正态分布曲线,如图2所示为不同厚度表面处理层对应的Fe元素对应的正态分布曲线,曲线中横坐标为元素百分比含量,纵坐标为测量数值的概率密度,形成不同厚度表面处理层对应的标准样品中不同金属元素对应的标准数据库。4) Use Minitab software to draw the standard normal distribution curve corresponding to the above-mentioned metal elements of the standard sample, as shown in Figure 2, it is the normal distribution curve corresponding to the Fe element corresponding to the surface treatment layer with different thicknesses, and the abscissa in the curve is the element percentage content , and the ordinate is the probability density of measured values, forming a standard database corresponding to different metal elements in standard samples corresponding to surface treatment layers with different thicknesses.

5)测量待测样品的金属元素含量,测量所采用的测试设备、测试模式以及测试工艺参数与测量标准样品时所采用的完全相同,测量的次数为8次/点,记录金属元素如Fe、Cr、Mn、Cd、Co等元素的测量值,并计算其标准平均值及标准差。5) Measure the metal element content of the sample to be tested. The test equipment, test mode and test process parameters used in the measurement are exactly the same as those used in the measurement of the standard sample. The number of measurements is 8 times/point, and the metal elements such as Fe, The measured values of Cr, Mn, Cd, Co and other elements, and calculate their standard average and standard deviation.

6)采用Minitab软件绘制测试样品各个金属元素对应的样品正态分布曲线,如图3为测试样品对应的Fe元素含量的正态分布曲线,同样地曲线中横坐标为元素百分比含量,纵坐标为测量数值的概率密度。6) Adopt the Minitab software to draw the sample normal distribution curve corresponding to each metal element of the test sample, as shown in Figure 3, it is the normal distribution curve of the Fe element content corresponding to the test sample, the abscissa is the element percentage content in the same curve, and the ordinate is Measures the probability density of a value.

7)将待测样品各元素的样品正态分布曲线与不同厚度标准样品各元素的标准正态分布曲线进行拟合,拟合到同一坐标系内,形成不同元素对应的样品正态分布曲线与标准正态分布曲线的集合,如图4所示为将Fe元素对应的样品正态分布曲线、标准正态分布曲线拟合到同一坐标系的情况;7) Fit the sample normal distribution curve of each element of the sample to be tested with the standard normal distribution curve of each element of the standard sample with different thicknesses, and fit them into the same coordinate system to form the sample normal distribution curve corresponding to different elements and The set of standard normal distribution curves, as shown in Figure 4, is the case where the sample normal distribution curve and standard normal distribution curve corresponding to the Fe element are fitted to the same coordinate system;

选择与样品正态分布曲线两侧紧邻的两条标准正态分布曲线进行分析,如图4所示,计算样品正态分布曲线与选取的两条标准正态分布曲线之间的重合面积的重合面积率或均值间距,得到该金属元素对应计算得到的表面处理层厚度。具体地,所采用的计算方法如下:Select two standard normal distribution curves adjacent to both sides of the sample normal distribution curve for analysis, as shown in Figure 4, calculate the coincidence of the coincidence area between the sample normal distribution curve and the selected two standard normal distribution curves Area ratio or average spacing, to obtain the calculated thickness of the surface treatment layer corresponding to the metal element. Specifically, the calculation method used is as follows:

以Fe元素为例,计算其对应的样品正态分布曲线与两条标准正态分布曲线之间的重合面积率。Taking Fe element as an example, calculate the overlap area ratio between its corresponding sample normal distribution curve and two standard normal distribution curves.

当样品正态分布曲线与两条标准正态分布曲线的重合面积率均不小于5%时,如图4,该金属元素对应计算得到的表面处理层厚度按重合面积率进行计算,采用的计算公式为:When the overlap area ratio of the normal distribution curve of the sample and the two standard normal distribution curves is not less than 5%, as shown in Figure 4, the thickness of the surface treatment layer corresponding to the metal element is calculated according to the overlap area ratio. The formula is:

其中,A为左侧标准正态分布曲线对应的标准厚度值,B为右侧标准正态分布曲线对应的标准厚度值,n1%为左侧标准正态分布曲线对应的重合面积率,n2%为右侧标准正态分布曲线对应的重合面积率。Among them, A is the standard thickness value corresponding to the standard normal distribution curve on the left side, B is the standard thickness value corresponding to the standard normal distribution curve on the right side, n 1 % is the overlapping area ratio corresponding to the standard normal distribution curve on the left side, n 2 % is the overlap area ratio corresponding to the standard normal distribution curve on the right.

当样品正态分布曲线与两条标准正态分布曲线的重合面积率均小于5%时,如图5,该金属元素对应计算得到的表面处理层厚度按照均值间距进行计算,计算公式为:When the overlapping area ratio of the normal distribution curve of the sample and the two standard normal distribution curves is less than 5%, as shown in Figure 5, the thickness of the surface treatment layer corresponding to the metal element is calculated according to the mean distance, and the calculation formula is:

其中,N为待测样品该元素含量的平均值,N1为左侧标准正态分布曲线对应的该元素含量的平均值,N2为右侧标准正态分布曲线对应的该元素含量的平均值。Among them, N is the average value of the element content of the sample to be tested, N 1 is the average value of the element content corresponding to the left standard normal distribution curve, N 2 is the average value of the element content corresponding to the right standard normal distribution curve value.

当样品正态分布曲线与两条标准正态分布曲线的重合面积率中,其中一侧的重合面积率不小于5%,另一侧小于5%时,如图6,该金属元素对应计算得到的表面处理层厚度为:When the overlapping area ratio of the normal distribution curve of the sample and the two standard normal distribution curves, the overlapping area ratio of one side is not less than 5%, and the other side is less than 5%, as shown in Figure 6, the corresponding calculation of the metal element is obtained The thickness of the surface treatment layer is:

获取重合面积率不小于5%的这一侧对应的标准正态分布曲线与样品正态分布曲线之间的交点(图6中点A)以及该交点在坐标系中对应的Fe元素含量值,如图6中点A对应的Fe元素含量为36%;Obtain the intersection point (point A in Figure 6) between the standard normal distribution curve and the sample normal distribution curve corresponding to the side where the overlapping area ratio is not less than 5%, and the Fe element content value corresponding to the intersection point in the coordinate system, As shown in Figure 6, the content of Fe element corresponding to point A is 36%;

然后在Fe元素含量与表面处理层厚度标准对应曲线(如图7)上,在Fe元素含量曲线上获取与点A对应的Fe元素含量,然后以Fe元素含量曲线上对应位置的点作一条竖直垂线,得到该竖直垂线与厚度曲线的交点(点B),点B对应的厚度值(以图7中为例,点B对应的厚度值为10μm)即为由Fe元素对应计算得到的表面处理层厚度。Then on the Fe element content and surface treatment layer thickness standard corresponding curve (as shown in Figure 7), obtain the Fe element content corresponding to point A on the Fe element content curve, then draw a vertical line with the point of the corresponding position on the Fe element content curve vertical line, the intersection point (point B) of the vertical line and the thickness curve is obtained, and the thickness value corresponding to point B (taking Figure 7 as an example, the thickness value corresponding to point B is 10 μm) is the corresponding calculation by Fe element The obtained surface treatment layer thickness.

这里金属元素含量与表面处理层厚度标准对应曲线是基于检测得到的不同标准厚度表面处理层所对应的金属元素含量值的数据所绘制的曲线,以Fe元素为例,如下表所示,为测量得到的Fe元素含量与表面处理层厚度对应的数据:The standard corresponding curve between the metal element content and the thickness of the surface treatment layer is a curve drawn based on the data of the metal element content values corresponding to the surface treatment layer with different standard thicknesses obtained through detection. Taking Fe element as an example, as shown in the table below, for measurement The data corresponding to the obtained Fe element content and the thickness of the surface treatment layer:

基于上述测量得到的数据表绘制双轴曲线图,如图7所示,其中纵坐标左侧对应为Fe元素含量,纵坐标右侧对应为表面处理层厚度值。上表中仅仅给出了部分测量数据,在实际操作过程中测量数据量会很多,且测量数据越多,绘制的曲线越平滑。Based on the data table obtained from the above measurements, a biaxial graph is drawn, as shown in Figure 7, where the left side of the ordinate corresponds to the Fe element content, and the right side of the ordinate corresponds to the thickness of the surface treatment layer. Only part of the measurement data is given in the above table. In actual operation, the amount of measurement data will be large, and the more measurement data, the smoother the drawn curve.

8)重复步骤7)得到对应其它各个元素所计算得到的表面处理层厚度值,基于上述计算得到的表面处理层厚度值Ti,计算得到待测样品的表面处理层厚度,计算公式为:8) Repeat step 7) to obtain the surface treatment layer thickness value calculated corresponding to other elements, based on the surface treatment layer thickness value Ti calculated above, calculate the surface treatment layer thickness of the sample to be tested, the calculation formula is:

此时,即可得到待测样品的表面处理层厚度。At this point, the thickness of the surface treatment layer of the sample to be tested can be obtained.

以上所述,仅是本发明的较佳实施例,并非对本发明做任何形式上的限制,凡是依据本发明的技术实质对以上实施例所作的任何简单修改、等同变化,均落入本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention in any form. Any simple modifications and equivalent changes made to the above embodiments according to the technical essence of the present invention all fall within the scope of the present invention. within the scope of protection.

Claims (10)

1.表面处理层厚度测量方法,其特征在于,包括以下步骤:1. The surface treatment layer thickness measurement method is characterized in that, comprising the following steps: S01、获取不同厚度表面处理层的标准样品中各个不同金属元素所对应的标准正态分布曲线,所述正态分布曲线为在某一厚度下某一元素的元素含量与概率密度之间的关系曲线;S01. Obtain the standard normal distribution curve corresponding to each different metal element in the standard sample of the surface treatment layer with different thicknesses, the normal distribution curve is the relationship between the element content and the probability density of a certain element under a certain thickness curve; S02、获取待测样品各个金属元素所对应的样品正态分布曲线;S02. Obtain the sample normal distribution curve corresponding to each metal element of the sample to be tested; S03、根据不同标准厚度下各个金属元素所对应的标准正态分布曲线与待测样品相应金属元素所对应的样品正态分布曲线,逐一获取基于待测样品不同金属元素计算得到的表面处理层厚度值,得到待测样品表面处理层厚度。S03. According to the standard normal distribution curve corresponding to each metal element under different standard thicknesses and the sample normal distribution curve corresponding to the corresponding metal element of the sample to be tested, the thickness of the surface treatment layer calculated based on the different metal elements of the sample to be tested is obtained one by one. value to obtain the thickness of the surface treatment layer of the sample to be tested. 2.根据权利要求1所述的表面处理层厚度测量方法,其特征在于,步骤S01中包括:2. The surface treatment layer thickness measuring method according to claim 1, characterized in that, step S01 comprises: S011、制备具有不同厚度表面处理层的标准样品;S011, preparing standard samples with surface treatment layers of different thicknesses; S012、测量标准样品表面处理层厚度;S012, measuring the thickness of the surface treatment layer of the standard sample; S013、对不同厚度下标准样品中的金属元素含量进行多次测量,得到不同厚度下表面处理层中各个不同金属元素所对应的标准正态分布曲线。S013, performing multiple measurements on the metal element content in the standard sample with different thicknesses, and obtaining the standard normal distribution curves corresponding to the different metal elements in the surface treatment layer with different thicknesses. 3.根据权利要求1或2所述的表面处理层厚度测量方法,其特征在于,获取标准样品中含量不小于0.1%的所有金属元素所对应的标准正态分布曲线。3. The method for measuring the thickness of the surface treatment layer according to claim 1 or 2, characterized in that the standard normal distribution curves corresponding to all metal elements with content not less than 0.1% in the standard sample are obtained. 4.根据权利要求2所述的表面处理层厚度测量方法,其特征在于,步骤S012中,采用磁性测厚仪、涡流测厚仪、螺旋千分尺对标准样品上指定区域的表面处理厚度进行多次测量,得到标准样品表面处理层厚度。4. The surface treatment layer thickness measuring method according to claim 2, wherein in step S012, a magnetic thickness gauge, an eddy current thickness gauge, and a screw micrometer are used to perform multiple times on the surface treatment thickness of the designated area on the standard sample. Measure to obtain the thickness of the surface treatment layer of the standard sample. 5.根据权利要求4所述的表面处理层厚度测量方法,其特征在于,所述指定区域为步骤S013中对标准样品中的金属元素含量进行测量的位置。5 . The method for measuring the thickness of the surface treatment layer according to claim 4 , wherein the specified area is the position where the metal element content in the standard sample is measured in step S013 . 6.根据权利要求1所述的表面处理层厚度测量方法,其特征在于,对待测样品中的金属元素含量进行多次测量,得到待测样品各个金属元素所对应的样品正态分布曲线。6. The method for measuring the thickness of the surface treatment layer according to claim 1, wherein the metal element content in the sample to be tested is measured multiple times to obtain a sample normal distribution curve corresponding to each metal element of the sample to be tested. 7.根据权利要求1或6所述的表面处理层厚度测量方法,其特征在于,获取待测样品中含量不小于0.1%的所有金属元素所对应的样品正态分布曲线。7. The method for measuring the thickness of the surface treatment layer according to claim 1 or 6, characterized in that the sample normal distribution curves corresponding to all metal elements whose content is not less than 0.1% in the sample to be tested are obtained. 8.根据权利要求6所述的表面处理层厚度测量方法,其特征在于,对待测样品中的金属元素含量进行测量所采用的测试设备、测试方法、测试参数与对标准样品进行测试的测试条件相同。8. The surface treatment layer thickness measuring method according to claim 6, characterized in that, the test equipment, test method, test parameters and test conditions for testing the standard sample are measured for the metal element content in the sample to be tested same. 9.根据权利要求1所述的表面处理层厚度测量方法,其特征在于,步骤S03中包括:9. The surface treatment layer thickness measurement method according to claim 1, characterized in that, step S03 comprises: S031、将各个不同标准厚度下某一金属元素所对应的标准正态分布曲线与待测样品对应金属元素的样品正态分布曲线进行拟合;S031, fitting the standard normal distribution curve corresponding to a certain metal element under each different standard thickness with the sample normal distribution curve corresponding to the metal element of the sample to be tested; S032、获取与样品正态分布曲线两侧紧邻的两条标准正态分布曲线,根据样品正态分布曲线与两条标准正态分布曲线之间的重合面积或均值间距或交点位置得到由该金属元素计算得到的表面处理层厚度值;S032. Obtain two standard normal distribution curves adjacent to both sides of the normal distribution curve of the sample, and obtain the metal by the metal according to the overlap area or mean distance or intersection point between the normal distribution curve of the sample and the two standard normal distribution curves. The thickness value of the surface treatment layer calculated by the element; S033、对步骤S032中所得到的各个表面处理层厚度值进行处理得到待测样品表面处理层厚度。S033. Process the thickness values of each surface treatment layer obtained in step S032 to obtain the thickness of the surface treatment layer of the sample to be tested. 10.根据权利要求9所述的表面处理层厚度测量方法,其特征在于,步骤S032中根据某一金属元素计算表面处理层厚度值,包括:10. The method for measuring the thickness of the surface treatment layer according to claim 9, wherein the calculation of the thickness value of the surface treatment layer according to a certain metal element in step S032 includes: 获取样品正态分布曲线与两条标准正态分布曲线之间的重合面积率,所述重合面积率为标准正态分布曲线和样品正态分布曲线之间的重合面积与对应标准正态分布曲线面积的比值;Obtain the coincidence area ratio between the sample normal distribution curve and two standard normal distribution curves, the coincidence area ratio between the standard normal distribution curve and the sample normal distribution curve and the corresponding standard normal distribution curve area ratio; 当样品正态分布曲线与两条标准正态分布曲线的重合面积率均不小于5%时,该金属元素对应计算得到的表面处理层厚度为:When the overlapping area ratio of the normal distribution curve of the sample and the two standard normal distribution curves is not less than 5%, the thickness of the surface treatment layer corresponding to the calculation of the metal element is: 其中,A为左侧标准正态分布曲线对应的标准厚度值,B为右侧标准正态分布曲线对应的标准厚度值,n1%为左侧标准正态分布曲线对应的重合面积率,n2%为右侧标准正态分布曲线对应的重合面积率;Among them, A is the standard thickness value corresponding to the standard normal distribution curve on the left side, B is the standard thickness value corresponding to the standard normal distribution curve on the right side, n 1 % is the overlapping area ratio corresponding to the standard normal distribution curve on the left side, n 2 % is the overlap area ratio corresponding to the standard normal distribution curve on the right; 当样品正态分布曲线与两条标准正态分布曲线的重合面积率均小于5%时,该金属元素对应计算得到的表面处理层厚度为:When the overlapping area ratio of the normal distribution curve of the sample and the two standard normal distribution curves is less than 5%, the calculated thickness of the surface treatment layer corresponding to the metal element is: 其中,N为待测样品该元素含量的平均值,N1为左侧标准正态分布曲线对应的该元素含量的平均值,N2为右侧标准正态分布曲线对应的该元素含量的平均值;Among them, N is the average value of the element content of the sample to be tested, N 1 is the average value of the element content corresponding to the left standard normal distribution curve, N 2 is the average value of the element content corresponding to the right standard normal distribution curve value; 当样品正态分布曲线与两条标准正态分布曲线的重合面积率中,其中一侧的重合面积率不小于5%,另一侧小于5%时,由该金属元素对应计算得到的表面处理层厚度为:When the overlap area ratio of the normal distribution curve of the sample and two standard normal distribution curves is not less than 5% on one side and less than 5% on the other side, the surface treatment obtained by corresponding calculation of the metal element The layer thickness is: 获取重合面积率不小于5%的这一侧对应的标准正态分布曲线与样品正态分布曲线之间的交点以及该交点对应的金属元素含量,根据对应的金属元素含量在金属元素含量与表面处理层厚度标准曲线上得到对应的厚度值,即为由该金属元素对应计算得到的表面处理层厚度。Obtain the intersection point between the standard normal distribution curve corresponding to the side where the overlapping area ratio is not less than 5% and the sample normal distribution curve and the metal element content corresponding to the intersection point. According to the corresponding metal element content in the metal element content and the surface The corresponding thickness value obtained from the standard curve of the treatment layer thickness is the thickness of the surface treatment layer calculated correspondingly from the metal element.
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