<![CDATA[Purpose of the study: This study aims to develop an alternative theoretical approach for describing entropy and Einstein temperature in solids. The proposed framework seeks to provide a simpler and more consistent understanding of the thermal behavior of solids while offering new insights into their thermodynamic properties. Methodology: This study employed a theoretical and analytical research method based on the Einstein model of solids and classical thermodynamics. Mathematical derivations and analytical calculations were used to develop the proposed approach. No experimental tools, survey, statistical analysis, or commercial software were used. Standard mathematical notation and symbolic analysis were applied. Main Findings: The proposed approach produced an alternative expression for entropy and a revised definition of Einstein temperature for solids. The derived relations were mathematically consistent with thermodynamic principles, simplified the description of thermal behavior, and provided a unified framework for analyzing entropy and characteristic temperature in solid-state systems. Novelty/Originality of this study: This study introduces a new theoretical formulation of entropy and an alternative definition of Einstein temperature for solids. The proposed framework simplifies conventional thermodynamic treatment, offers a more coherent interpretation of thermal properties, and expands the theoretical understanding of solid-state thermodynamics by providing an alternative perspective to existing models. ]]>
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