Self-Similar Pattern of Crystal Growth from Heterogeneous Magmas: 3D Depiction of LA-ICP-MS Data

  • Ewa SłabyEmail author
  • Michał Śmigielski
  • Andrzej Domonik
  • Luiza Galbarczyk-Gasiorowska
Part of the Society of Earth Scientists Series book series (SESS)


Crystals grown from mixed magmas are characterized by extreme geochemical heterogeneity. The system is self-similar which is reflected in a complex pattern of element distribution in the crystal. New tools are required to show the complexity. 3D depiction (digital concentration-distribution models DC-DMs) combined with fractal statistics is an ideal tool for the identification and description of any subsequent change occurring due to the chaotic processes. LA-ICP-MS analysis gives simultaneous information on the concentration of many elements from the same analysed crystal volume. Thus the data collected are an ideal basis for the calculation of both DC-DMs and fractals. Simultaneous information retrieved by LA-ICP -MS on both compatible and incompatible elements and further data processing allow the determination of the process dynamics in terms of element behavior: antipersistent/persistent, being incorporated according to Henry’s Law or beyond it. The multi-method approach can be used for any system showing geochemical variability.


Incompatible Element Fractal Statistic Voronoi Cell Hurst Exponent Maximum Gradient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The work has been funded by NCN grant 2011/01/B/ST10/04541. We are very grateful to S. Kumar for his invitation to provide our contribution to this book. We greatly appreciate peer reviews by R. MacDonald and A. Pietranik. We extend our sincere appreciation to Ch. Gallacher and R. MacDonald, who in addition corrected grammar and style.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ewa Słaby
    • 1
    Email author
  • Michał Śmigielski
    • 2
  • Andrzej Domonik
    • 3
  • Luiza Galbarczyk-Gasiorowska
    • 4
  1. 1.Institute of Geological Sciences, Polish Academy of SciencesResearch Centre in WarsawWarsawPoland
  2. 2.Department of GeologyPope John Paul II State School of Higher Education in Biala PodlaskaBiała PodlaskaPoland
  3. 3.Institute of Hydrogeology and Engineering GeologyUniversity of WarsawWarsawPoland
  4. 4.Institute of Geochemistry, Mineralogy and PetrologyUniversity of WarsawWarsawPoland

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