Investigation young’s modulus of metallic thin films by statistical moment method
Investigation young’s modulus of metallic thin films by statistical moment method
The Helmholtz free energy, mean-square atomic displacements and Young’s modulus E are derived in closed analytic forms in terms of the power moments of the atomic displacements. Numerical calculations for Young’s modulus of W and Nb thin films are found to be in good and reasonable agreement with those of other theoretical results and experimental data.