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X-ray Imaging01:24

X-ray Imaging

German physicist Wilhelm Röntgen (1845–1923) was experimenting with electrical current when he discovered that a mysterious and invisible "ray" would pass through his flesh but leave an outline of his bones on a screen coated with a metal compound. In 1895, Röntgen made the first durable record of the internal parts of a living human: an "X-ray" image (as it came to be called) of his wife’s hand. Scientists worldwide quickly began their own experiments with X-rays, and by 1900, X-ray was widely...
Phase Contrast and Differential Interference Contrast Microscopy01:26

Phase Contrast and Differential Interference Contrast Microscopy

Phase-Contrast Microscopes
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...
Electron Microscope Tomography and Single-particle Reconstruction01:07

Electron Microscope Tomography and Single-particle Reconstruction

Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
Electron Tomography
Electron tomography can be performed either in TEM or STEM (scanning transmission...
X-ray Diffraction of Biological Samples01:10

X-ray Diffraction of Biological Samples

X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are  scattered by the electron clouds around the sample atoms. The  X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal crystal...
X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Overview of Microscopy Techniques01:22

Overview of Microscopy Techniques

The early pioneers of microscopy opened a window into the invisible world of microorganisms. In 1830, Joseph Jackson Lister created an essentially modern light microscope. The 20th century saw the development of microscopes that leveraged nonvisible light, such as fluorescence microscopy that uses an ultraviolet light source and electron microscopy that uses short-wavelength electron beams. These advances significantly improved magnification, image resolution, and contrast. By comparison, the...

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Resolution determination in X-ray microscopy: an analysis of the effects of partial coherence and illumination spectrum.

Journal of X-ray science and technology·2012
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Spectromicroscopy of Mn distributions in micronodules produced by biomineralization.

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High resolution protein localization using soft X-ray microscopy.

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Automatic image acquisition, calibration and montage assembly for biological X-ray microscopy.

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Intracellular structures of normal and aberrant Plasmodium falciparum malaria parasites imaged by soft x-ray microscopy.

Proceedings of the National Academy of Sciences of the United States of America·1997
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Related Experiment Video

Updated: Jun 7, 2026

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
08:02

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography

Published on: February 25, 2015

Partially coherent image formation with x-ray microscopes.

L Jochum, W Meyer-Ilse

    Applied Optics
    |November 6, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study analyzes image formation in x-ray microscopy using partially coherent radiation and the Hopkins formula. It provides theoretical predictions for image characteristics, aiding experimental validation in advanced microscopy techniques.

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    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
    10:39

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

    Published on: October 11, 2016

    Related Experiment Videos

    Last Updated: Jun 7, 2026

    Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
    08:02

    Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography

    Published on: February 25, 2015

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
    10:39

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

    Published on: October 11, 2016

    Area of Science:

    • Optics and Photonics
    • X-ray Microscopy
    • Image Formation Theory

    Background:

    • Partially coherent radiation significantly impacts image quality in high-resolution microscopy.
    • The Hopkins formula provides a theoretical framework for analyzing image formation under various coherence conditions.
    • Understanding these effects is crucial for optimizing x-ray microscopy performance.

    Purpose of the Study:

    • To evaluate image formation in x-ray microscopy under partially coherent radiation using the Hopkins formula.
    • To analyze image characteristics for different pupil types (circular and annular) and object types (two-point and knife-edge).
    • To provide theoretically predicted, experimentally accessible image characteristics for various x-ray microscopes.

    Main Methods:

    • Application of the Hopkins formula to model image formation.
    • Analysis of image characteristics for specific object types (two-point, knife-edge).
    • Consideration of different pupil geometries (circular, annular) under partially coherent conditions.

    Main Results:

    • Theoretical predictions for image characteristics, including knife-edge width, under partially coherent illumination.
    • Detailed analysis of how pupil shape affects image quality in x-ray microscopy.
    • Quantification of image degradation due to partial coherence.

    Conclusions:

    • The Hopkins formula effectively describes image formation in x-ray microscopy with partially coherent radiation.
    • Theoretical predictions offer valuable benchmarks for experimental verification and instrument design.
    • This work facilitates the interpretation of experimental results and the development of improved x-ray microscopy techniques.