The research investigates how the presence of a single electron affects the energy dynamics of sodium clusters and employs various statistical and visualization techniques to analyze this effect.
The study examines the impact of one electron, time, and temperature on the energy of neutral and charged sodium clusters of Na39 using multiple linear regression, fuzzy clustering, and time series analysis.
The research was conducted by S.M. Ghazi and M. Mahmoudi, affiliated with recognized institutions.
The article was published on March 3, 2025, and the study examines previously acquired data.
The research focuses on sodium clusters, particularly Na39, Na+39, and Na-39.
The study addresses gaps in knowledge about the thermodynamic properties of sodium clusters to understand their behavior and application potentials.
The researchers used multiple linear regression analysis, fuzzy clustering algorithms, and ARFIMA (Autoregressive Fractionally Integrated Moving Average) time series analysis to evaluate the energy behaviors across different clusters and conditions.
Multiple linear regression analysis showed significant effects of the electron, time, and temperature on energy.
Fuzzy clustering analysis revealed distinct groups categorized by temperature impacts on energy.
Time series analysis allowed us to study the energy behaviors in detail at various temperatures.
Highlight the significance of studying sodium clusters and the role of electrons on their energy.
Provide contextual details on sodium cluster research and previous studies focusing on thermodynamic properties and electronic structures.
Elaborate on the statistical techniques employed, particularly multiple linear regression and fuzzy clustering analysis.
Present the core results, such as the distinct impacts observed on neutral and charged clusters, supported by key quotes.
Summarize findings and suggest future research directions stemming from this study, emphasizing the practical applications of sodium cluster behavior research.