Table 2.
Properties of fused silica, 〈111〉 silicon, 7059 Corning glass, 211 Precision glass, and Z-cut quartz substrates: coefficient of thermal expansion (CTE), Young’s modulus (Es), Poisson’s ratio (νs), Es/(1 − νs2) calculated by using Es and νs, reduced Young’s modulus Er = Es/(1 − νs²) and hardness (H) experimentally determined by nanoindentation, and thickness.
| Substrate | CTE (10−6/°C) | Es (GPa) | νs | Es/(1 − νs²) (GPa) | Er (GPa) | H (GPa) | Thickness (μm) |
|---|---|---|---|---|---|---|---|
| Fused silica | 0.55a | 71.7a | 0.17a | 74 | 72 ± 1 | 10.0 ± 0.4 | 500 |
| 〈111〉 Si | 2.6b | 168.9b | 0.262b | 181 | 165 ± 6 | 10.1 ± 0.3 | 380 |
| 7059 | 4.6c | 68.9c | 0.20c | 72 | 71 ± 0.2 | 7.4 ± 0.1 | 390 |
| 211 | 7.4d | 74.5d | 0.22 d | 78 | 78 ± 2 | 7.4 ± 0.6 | 520 |
| Z-cut Quartz | 13.37e | 76.5e | 0.08e | 77 | 109 ± 2 | 13.7 ± 0.5 | 500 |