Plasmonic Resonance in Sodium Clusters: Competition Mechanism Between Electron Spill-Out Effect and Quantum Pressure in Electron Gas

  • Chuanfu HuangEmail author
Brief Communication


In this paper, we found that the plasmonic resonance of sodium clusters is strongly dependent on the competition between the electron spill-out effect and quantum pressure in the electron gas. The critical point in this picture is that as the sodium cluster size decreases, the electron spill-out effect can reduce its density, causing red shift of the plasmonic resonance of sodium clusters, while the quantum pressure effect of the electron gas will oppositely induce its plasmonic peak to be blue shifted. From this point of view, we discovered that this competition can get balanced when the electron spill-out thickness of sodium clusters is near 0.75 Å, and this competition should be valid in a cluster radius from 15 to 25 Å.


Sodium clusters Plasmonic resonance Competition mechanism 



This work was supported by the National Natural Science Foundation of China under Grant No. 11847012 and by the Fundamental Research Funds for the Central Universities under Grant No. 2018QNB11.

Compliance with Ethical Standards

Conflict of interest

The authors declare no competing financial interests.


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Authors and Affiliations

  1. 1.School of Physical Science and TechnologyChina University of Mining and TechnologyXuzhouChina

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