A method and apparatus are presented. X-rays are directed at a workpiece. The workpiece includes a fastener installed in an opening. Backscatter is received from the workpiece. It is determined if the fastener installed in the opening has an out of tolerance gap using the backscatter. An output is generated if the fastener installed in the opening has the out of tolerance gap.

An embodiment of a method for restoring detector resolution in an X-Ray fluorescence instrument is described that comprises: measuring a resolution value of a detector in the X-Ray fluorescence instrument using a standard material at a first temperature; determining that the measured resolution value deviates from a target value; and adjusting the temperature of the detector to a second temperature that restores the resolution value of the detector to the target value, wherein the temperature is adjusted by an amount defined by a relationship of temperature change to the degree of deviation of detector resolution from the target value.

Systems and methods for analyzing an unknown geological sample are disclosed. The system may include at least two analytical subsystems, and each of the at least two analytical subsystems provides different information about the geological sample. The data sets from various analytic subsystems are combined for further analysis, and the system includes a chemometric calibration model that relates geological attributes from analytical data previously obtained from at least two analytical techniques. A prediction engine applies the chemometric calibration model to the combined analytical information from the geological sample to predict specific geological attributes in the unknown geological sample.

A method for analyzing an object includes irradiating the object with incident photon radiation and acquiring an energy spectrum scattered by the material using a spectrometric detector in scatter mode. An energy spectrum transmitted by the material is acquired using a spectrometric detector in transmission mode. A signature (f) is reconstructed representing the object, both from the scatter spectrum measured and from the transmission spectrum measured, and the reconstructed signature thereof is compared with signatures of standard materials.

A measurement standard suitable for measuring amounts of certain elements in pharmaceutical excipients is described. A reference standard is dissolved in a solvent, for example acetone, and mixed with a pharmaceutical excipient such as cellulose, lactose or calcium carbonate. The solvent is then evaporated to provide a dry standard.

An X-ray fluorescence spectrometer includes: an X-ray source (3) to irradiate, with primary X-rays (6), a sample (1) that is multiple nanoparticles placed on a substrate (10); an irradiation angle adjustment unit (5) to adjust an irradiation angle at which a surface (10a) of the substrate is irradiated; a detection unit (8) to measure an intensity of fluorescent X-rays (7) from the sample (1); a peak position calculation unit (11) to generate a sample profile representing change of the intensity of the fluorescent X-rays (7) against change of the irradiation angle, and to calculate a peak irradiation angle position; a particle diameter calibration curve generation unit (21) to generate a calibration curve; and a particle diameter calculation unit (22) to calculate a particle diameter of nanoparticles of an unknown sample (1) by applying the peak irradiation angle position of the unknown sample (1) to the calibration curve.

Systems and methods for analyzing an unknown geological sample are disclosed. The system may include at least two analytical subsystems, and each of the at least two analytical subsystems provides different information about the geological sample. The data sets from various analytic subsystems are combined for further analysis, and the system includes a chemometric calibration model that relates geological attributes from analytical data previously obtained from at least two analytical techniques. A prediction engine applies the chemometric calibration model to the combined analytical information from the geological sample to predict specific geological attributes in the unknown geological sample.

A method comprises providing reference data indicative of at least one reference energy-dispersive x-ray spectrum, providing measured data indicative of at least one measured energy-dispersive x-ray spectrum obtained from a sample, and determining a transformation based on a comparison of the measured data with the reference data. A system configured to determine a transformation based on a comparison of measured data with reference data is also described.

A mass estimation method includes a step of generating X-ray transmission image data for each transmission region of a sample of an inspection object, a step of generating a histogram of pixel values of pixels that are included in N pieces of the X-ray transmission image data of the sample and that correspond to the respective transmission regions, a step of generating a histogram matrix consisting of N row vectors corresponding to N histograms of the sample, a step of using a product of the histogram matrix and a weight vector consisting of a weight coefficient for each pixel value of the N pieces of X-ray transmission image data, to calculate the weight vector that minimizes a variance of the N relative mass estimation values, and a step of estimating mass of the inspection object by using the weight vector.

Calibration components having a turbomachine component form factor and methods of fabricating the calibration components using an additive manufacturing system are provided. A calibration component includes a main body and one or more representative quality indicators. The one or more representative quality indicators are disposed within the main body of the calibration component. The representative quality indicators include a cavity that has a material disposed within the cavity.