Exploring topological indices and entropy measure via rational curve fitting models for calcium hydroxide network

This work uses rational curve fitting models to investigate the complex link between topological indices and entropy metrics in calcium hydroxide <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo> <mml:mi>C</mml:mi> <mml:mi>a</mml:mi> <mml:msub><mml:mrow><mml:mo>(</mml:mo> <mml:mi>O</mml:mi> <mml:mi>H</mml:mi> <mml:mo>)</mml:mo></mml:mrow> <mml:mn>2</mml:mn></mml:msub> <mml:mo>)</mml:mo></mml:mrow> </mml:math> networks. Entropy measurements shed light on the complexity and disorder of these networks, whereas topological indices are essential instruments for comprehending the structural characteristics of chemical substances. Our goal is to find new patterns and connections by merging these two fields, improving materials science's prediction capacity. We calculate many topological indices, such as the Randic, Balaban, and Zagreb indices, and examine the relationship between them and entropy measurements obtained from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo> <mml:mi>C</mml:mi> <mml:mi>a</mml:mi> <mml:msub><mml:mrow><mml:mo>(</mml:mo> <mml:mi>O</mml:mi> <mml:mi>H</mml:mi> <mml:mo>)</mml:mo></mml:mrow> <mml:mn>2</mml:mn></mml:msub> <mml:mo>)</mml:mo></mml:mrow> </mml:math> structural arrangement.