Table 1. Comparison between the present work and previously reported values (Wortman & Evans, 1965 ▸; Kim et al., 2001 ▸; Hopcroft et al., 2010 ▸).
Young’s modulus | Shear modulus | Poisson’s ratio | ||
---|---|---|---|---|
Si(100) | In-plane (∥) | Present, Wortman, Kim | Present, Wortman, Kim | Present, Wortman, Kim |
Normal to plane (⊥) | Present, Hopcroft, Equation (7a) | Present, Wortman, Kim | Present, Wortman, Kim† | |
Si(110) | In-plane (∥) | Present, Wortman, Kim‡ | Present, Wortman, Kim‡ | Present, Wortman, Kim‡ |
Normal to plane (⊥) | Present, Hopcroft, Equation (7b) | Present, Wortman, Kim‡ | Present, Wortman, Kim‡ | |
Si(111) | In-plane (∥) | Present, Wortman, Kim§ | Present, Wortman, Kim§ | Present, Kim, Wortman¶ |
Normal to plane (⊥) | Present, Hopcroft, Equation (7c) | Present, Kim, Wortman†† | Present, Wortman, Kim§ |
Poisson’s ratio ν12 for fixed in the direction [100] and varying in the (100) plane, but ν21 is presented in Kim instead of ν12.
Variation of direction (angle α) in plane: Kim from [0 0 1] to [−1 1 0], Present and Wortman from [0 0 1] to [1 −1 0].
Variation of direction (angle α) in plane: Kim from [1 −1 0] to [−1 −1 2], Present from [0 1 −1 ] to [2 −1 −1].
Poisson’s ratio ν∥ in Si(111) plane: Present = Kim = 0.262, Wortman = 0.358.
Shear modulus G ⊥ normal to plane for Si(111): Present = Kim = 57.8 GPa, Wortman = 47.0 GPa.