This study explores how silver nanoparticles (5Å in diameter), SDS affect carbon dioxide hydrate formation, particularly their role in speeding up the creation of clathrate hydrates. The research highlights the importance of nanoparticles and surfactants in managing gas hydrates, with potential benefits for natural resource management and reducing greenhouse gases. Data analysis focused on the structural order parameter F4, revealing no significant impact from silver nanoparticles on F4’s behavior in carbon dioxide–water systems with or without SDS (500ppm). However, the presence of SDS surfactant markedly alters F4, underscoring surfactants’ influence on hydrate formation. The dynamic shifts in F4 during the study illustrate the complex interplay between system components in hydrate formation.