Credit: X-ray: NASA/CXC/Univ. of Chicago/H. McCall
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A Tour of X-arithmetic - More Videos
It is no surprise then that NASA’s Chandra X-ray Observatory has observed many galaxy clusters over the lifetime of the mission. Chandra’s X-ray vision allows it to see the enormous stockpiles of hot cluster gas, with temperatures as high as 100 million degrees, with exquisite clarity. This blazing gas tells stories about past and present activity within galaxy clusters.
Many of these galaxy clusters host supermassive black holes at their centers, which periodically erupt in powerful outbursts. These explosions generate jets that are visible in radio wavelengths, which inflate bubbles full of energetic particles; these bubbles carry energy out into the surrounding gas. Chandra’s images have revealed a wealth of other structures formed during these black hole outbursts, including hooks, rings, arcs, and wings. However, appearances alone don’t tell us what these structures are or how they formed.
To tackle this problem, a team of astronomers developed a novel image-processing technique to analyze X-ray data, allowing them to identify features in the gas of galaxy clusters like never before, classifying them by their nature rather than just their appearance. Prior to this technique, which they call “X-arithmetic,” scientists could only identify the nature of some of the features and in a much less efficient way, via studies of the amounts of X-ray energy dispersed at different wavelengths. The authors applied X-arithmetic to 15 galaxy clusters and galaxy groups (these are similar to galaxy clusters but with fewer member galaxies). By comparing the outcome from the X-arithmetic technique to computer simulations, researchers now have a new tool that will help in understanding the physical processes inside these important titans of the universe.
A new paper looks at how these structures appear in different parts of the X-ray spectrum. By splitting Chandra data into lower-energy and higher-energy X-rays and comparing the strengths of each structure in both, researchers can classify them into three distinct types, which they have colored differently. A pink color is given to sound waves and weak shock fronts, which arise from pressure disturbances traveling at close to the speed of sound, compressing the hot gas into thin layers. The bubbles inflated by jets are colored yellow, and cooling or slower-moving gas is blue. The resulting images, “painted” to reflect the nature of each structure, offer a new way to interpret the complex aftermath of black hole activity using only X-ray imaging data. This method works not only on Chandra (and other X-ray) observations, but also on simulations of galaxy clusters, providing a tool to bridge data and theory.
The images in this new collection show the central regions of five galaxy clusters in the sample: Abell 2052 and Cygnus A in the top row and MS 0735+7421, the Perseus Cluster, and M87 in the Virgo Cluster on the bottom row. All of these objects have been released to the public before by the Chandra X-ray Center, but this is the first time this special technique has been applied. The new treatment highlights important differences between the galaxy clusters and galaxy groups in the study.
The galaxy clusters in the study often have large regions of cooling or slow-moving gas near their centers, and only some show evidence for shock fronts. The galaxy groups, on the other hand, are different. They show multiple shock fronts in their central regions and smaller amounts of cooling and slow-moving gas compared to the sample of galaxy clusters.
This contrast between galaxy clusters and galaxy groups suggests that black hole feedback — that is, the interdependent relationship between outbursts from a black hole and its environment — appears stronger in galaxy groups. This may be because feedback is more violent in the groups than in the clusters, or because a galaxy group has weaker gravity holding the structure together than a galaxy cluster. The same outburst from a black hole, with the same power level, can therefore more easily affect a galaxy group than a galaxy cluster.
There are still many open questions about these black hole outbursts. For example, scientists would like to know how much energy they put into the gas around them and how often they occur. These violent events play a key role in regulating the cooling of the hot gas and controlling the formation of stars in clusters. By revealing the physics underlying the structures they leave behind, the X-arithmetic technique brings us closer to understanding the influence of black holes on the largest scales.
A paper describing this new technique and its results has been published in The Astrophysical Journal and is led by Hannah McCall from the University of Chicago. The other authors are Irina Zhuravleva (University of Chicago), Eugene Churazov (Max Planck Institute for Astrophysics, Germany), Congyao Zhang (University of Chicago), Bill Forman and Christine Jones (Center for Astrophysics | Harvard & Smithsonian), and Yuan Li (University of Massachusetts at Amherst).
NASA's Marshall Space Flight Center in Huntsville, Alabama, manages the Chandra program. The Smithsonian Astrophysical Observatory's Chandra X-ray Center controls science operations from Cambridge, Massachusetts, and flight operations from Burlington, Massachusetts.
Visual Description:
The traditional composite renderings share many visual similarities with digital photography; the images are relatively crisp, and feature cloud-like objects with blended colors, set against black backgrounds, dotted with distant specks of light. The X-arithmetic images are more visually similar to color MRI scans; they feature pixelated objects with distinct patches of vibrant color, set against neutral black backgrounds.
The first image in the two sets features the seemingly spherical galaxy cluster Abell 2052. In the composite rendering, the cluster resembles a pink rose in a cloud of powder blue haze. In the X-arithmetic rendering, interwoven pockets of hot pink, neon blue, and golden yellow appear brighter near the center, and somewhat muted near the outer edges.
The second image in the two sets features Cygnus A, a galaxy cluster with jets blasting in opposite directions out of a central black hole. In the composite image, the black hole appears as bright white light, the cluster resembles a neon blue cloud, and the jets exiting the cluster are surrounded by plumes resembling red smoke. In the X-arithmetic rendering, Cygnus A is depicted as a marbled ball of pixelated pockets in neon pink, blue, and golden yellow.
The third image in the sets features the galaxy cluster MS 0735. In the composite rendering, a vertical red cloud squiggle with a bright yellow dot in the center, is surrounded by a faint blue haze. In the X-arithmetic rendering, large pockets of yellow are surrounded by irregular hot pink shapes and dappled pockets of blue, which grow more granular near the outer edges.
The fourth pair of images feature the Perseus Cluster. The composite rendering resembles the view down a swirling cone of pink cotton candy, with a collection of dark blue filaments at the distant center. In the X-arithmetic rendering, the cluster resembles a corkscrew swirl of neon blue water, dotted with pink flecks, and blobs of golden yellow.
The fifth and final pair of images feature the galaxy cluster M87. In the composite rendering, the cluster is presented as ethereal overlapping clouds in purple, red, and white, with a golden orange embryonic shape at the core. The X-arithmetic rendering of the same cluster resembles a faint yellow cloud, digitally spattered with blue and pink pixels.
Fast Facts for MS 0735.6+7421:
Credit: X-ray: NASA/CXC/Univ. of Chicago/H. McCall
Release Date: December 9, 2025
Scale: Image is about 4.0 arcmin (2.8 million light-years) across.
Category: Groups and Clusters of Galaxies
Coordinates (J2000): RA 07h 41m 50.20s | Dec +74° 14´ 51.00"
Constellation: Camelopardalis
Observation Dates: 9 observations from Nov 2003 to Jan 2015
Observation Time: 149 hours 27 minute (6 days 5 hours 27 minutes)
Obs. ID: 4197, 10468-10471, 10822, 10918, 10922, 16275
Instrument: ACIS
References: McCall, H. et al, 2025, ApJ, 989,159; DOI 10.3847/1538-4357/adea67
Color Code: X-ray: pink, yellow, blue
Distance Estimate: About 2.6 billion light-years from Earth
Fast Facts for Perseus Cluster:
Credit: X-ray: NASA/CXC/Univ. of Chicago/H. McCall
Release Date: December 9, 2025
Scale: Image is about 6 arcmin (410,000 light-years) across.
Category: Groups and Clusters of Galaxies
Coordinates (J2000): RA 3h 19m 47.60 | Dec +41° 30´ 37.00"
Constellation: Perseus
Observation Dates: 16 observations from Aug 2002 to Dec 2009
Observation Time: 330 hours 14 minutes (13 days 18 hours 14 minutes)
Obs. ID: 3209, 4289, 4946-4949, 6139, 4951-4953, 6139, 6145, 6146, 11713-11716
Instrument: ACIS
References: McCall, H. et al, 2025, ApJ, 989,159; DOI 10.3847/1538-4357/adea67
Color Code: X-ray: pink, yellow, blue
Distance Estimate: About 240 million light-years from Earth
Fast Facts for M87:
Credit: X-ray: NASA/CXC/Univ. of Chicago/H. McCall
Release Date: December 9, 2025v Scale: Image is about 15 arcmin (230,000 light-years) across.
Category: Groups and Clusters of Galaxies
Coordinates (J2000): RA 12h 30m 49.19s | Dec +12° 22´ 47.86"
Constellation: Virgo
Observation Dates: 10 observations from Jul 2003 to Apr 2010
Observation Time: 174 hours 26 minutes (7 days 6 hours 26 minutes)
Obs. ID: 2707, 3717, 5826-5828, 6186, 7210-7212, 11783
Instrument: ACIS
References: McCall, H. et al, 2025, ApJ, 989,159; DOI 10.3847/1538-4357/adea67
Color Code: X-ray: pink, yellow, blue
Distance Estimate: About 54 million light-years from Earth
Fast Facts for Abell 2052:
Credit: X-ray: NASA/CXC/Univ. of Chicago/H. McCall
Release Date: December 9, 2025
Scale: Image is about 4.4 arcmin (600,000 light-years) across.
Category: Groups and Clusters of Galaxies
Coordinates (J2000): RA 15h 16m 44.40s | Dec +07° 01´ 20.00"
Constellation: Serpens
Observation Dates: 10 observations from Mar, 2006 to Jun, 2009
Observation Time: 171 hours 28 minutes (7 days 3 hours 28 minutes)
Obs. ID: 5807, 10477-10480, 10879, 10914-10917
Instrument: ACIS
References: McCall, H. et al, 2025, ApJ, 989,159; DOI 10.3847/1538-4357/adea67
Color Code: X-ray: pink, yellow, blue
Distance Estimate: About 480 million light-years from Earth
Fast Facts for Cygnus A:
Credit: X-ray: NASA/CXC/Univ. of Chicago/H. McCall
Release Date: December 9, 2025
Scale: Image is about 3.4 arcmin (740,000 light-years) across.
Category: Groups and Clusters of Galaxies
Coordinates (J2000): RA 19h 59m 28.3s | Dec +44° 44´ 02"
Constellation: Cygnus
Observation Dates: 26 observations from Feb 2005 to May 2017
Observation Time: 221 hours 5 minutes (9 days 5 hours 5 minutes)
Obs. ID: 5830, 5831, 6225, 6226, 6228, 6229, 6250, 6252, 17133-17136, 17507-17514, 18688, 18871, 19989, 19996, 20077, 20079
Instrument: ACIS
References: McCall, H. et al, 2025, ApJ, 989,159; DOI 10.3847/1538-4357/adea67
Color Code: X-ray: pink, yellow, blue
Distance Estimate: About 760 million light-years from Earth

