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<p>In the present work, we introduce several definitions of Rényi’s entropy, based on different definitions of probability. All the expressions presented were applied to the chemical reaction <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10910_2025_1740_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="190" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{CH}_{3} + \textrm{NH}_{3} \rightarrow \textrm{CH}_{4} + \textrm{NH}_{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>CH</mtext> <mn>3</mn> </msub> <mo>+</mo> <msub> <mtext>NH</mtext> <mn>3</mn> </msub> <mo stretchy="false">→</mo> <msub> <mtext>CH</mtext> <mn>4</mn> </msub> <mo>+</mo> <msub> <mtext>NH</mtext> <mn>3</mn> </msub> </mrow> </math></EquationSource> </InlineEquation>. The trends obtained exhibit a more complex structure than the trends of the electron energy or electron correlation energy. Also, our results show that Rényi’s entropies can indicate the zone where the bond-breaking and bond-forming process is carried out.</p>

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A new approach of Rényi’s information measures

  • 期刊论文

  • 发表日期：

    2025年7月12日

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  • N. Flores-Gallegos,
  • L. Flores-Gómez

摘要

In the present work, we introduce several definitions of Rényi’s entropy, based on different definitions of probability. All the expressions presented were applied to the chemical reaction \(\textrm{CH}_{3} + \textrm{NH}_{3} \rightarrow \textrm{CH}_{4} + \textrm{NH}_{3}\) CH 3 + NH 3 → CH 4 + NH 3 . The trends obtained exhibit a more complex structure than the trends of the electron energy or electron correlation energy. Also, our results show that Rényi’s entropies can indicate the zone where the bond-breaking and bond-forming process is carried out.