Relative Populations and IR Spectra of Cu38 Cluster at Finite Temperature Based on DFT and Statistical Thermodynamics Calculations

Carlos Emiliano Buelna-García, Cesar Castillo-Quevedo, Jesus Manuel Quiroz-Castillo, Edgar Paredes-Sotelo, Manuel Cortez-Valadez, Martha Fabiola Martin-del-Campo-Solis, Tzarara López-Luke, Marycarmen Utrilla-Vázquez, Ana Maria Mendoza-Wilson, Peter L. Rodríguez-Kessler, Alejandro Vazquez-Espinal, Sudip Pan, Aned de Leon-Flores, Jhonny Robert Mis-May, Adán R. Rodríguez-Domínguez, Gerardo Martínez-Guajardo*, Jose Luis Cabellos*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The relative populations of Cu38 isomers depend to a great extent on the temperature. Density functional theory and nanothermodynamics can be combined to compute the geometrical optimization of isomers and their spectroscopic properties in an approximate manner. In this article, we investigate entropy-driven isomer distributions of Cu38 clusters and the effect of temperature on their IR spectra. An extensive, systematic global search is performed on the potential and free energy surfaces of Cu38 using a two-stage strategy to identify the lowest-energy structure and its low-energy neighbors. The effects of temperature on the populations and IR spectra are considered via Boltzmann factors. The computed IR spectrum of each isomer is multiplied by its corresponding Boltzmann weight at finite temperature. Then, they are summed together to produce a final temperature-dependent, Boltzmann-weighted spectrum. Our results show that the disordered structure dominates at high temperatures and the overall Boltzmann-weighted spectrum is composed of a mixture of spectra from several individual isomers.

Original languageEnglish
Article number841964
JournalFrontiers in Chemistry
StatePublished - 1 Mar 2022

Bibliographical note

Publisher Copyright:
Copyright © 2022 Buelna-García, Castillo-Quevedo, Quiroz-Castillo, Paredes-Sotelo, Cortez-Valadez, Martin-del-Campo-Solis, López-Luke, Utrilla-Vázquez, Mendoza-Wilson, Rodríguez-Kessler, Vazquez-Espinal, Pan, de Leon-Flores, Mis-May, Rodríguez-Domínguez, Martínez-Guajardo and Cabellos.


  • Cu-nanoclusters
  • DFT
  • IR
  • genetic-algorithm
  • nanothermodynamics
  • relative populations
  • temperature


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