An Investigation of the Application of the Golden Ratio and Fibonacci Sequence Associated with the Chart of Nuclides

Hugo Ryan Currie, Geoffrey Michael Currie


The aim of this investigation was to examine the relationship between the golden ratio and atomic structure. The chart of nuclides was evaluated for evidence of a true golden ratio. That is, the neutron number divided by the proton number needed to equal 1.618 and the atomic number (neutrons plus protons) divided by the neutron number needed to equal 1.618. Across the chart of nuclides, this ratio approximated the golden ratio to a varying degree of accuracy for some nuclides but rarely for both calculations. This relationship (golden ratio in the chart of nuclides) has not been previously reported. It was determined that specific nuclides exhibit the golden ratio between protons and neutrons, and that these produce a trend line on the chart of nuclides. The Fibonacci sequence is mathematically evident and this information can be used to postulate new nuclides or elements.


golden ratio; Fibonacci sequence; chart of nuclides; super-heavy nuclei

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