Negative thermal expansion in isotropic crystals

Key Points

• The article aims to clarify the understanding of negative thermal expansion in isotropic crystals.
• Reviewed existing literature on negative thermal expansion phenomena.
• Analyzed the role of lattice dynamics in isotropic crystals.
• Discussed thermal properties and their implications.
• Demonstrated that NTE occurs in certain temperature ranges.
• Highlighted a relationship between atomic arrangements and negative thermal expansion.