Table 1 Silicon nanowire constants
Symbol | Physical constant | Value |
|---|---|---|
\(m_{e}\) | electron rest mass | 9.1095 × 10−28 g |
m∗A | effective mass \(A =\Delta _{4}\) valley [9] | 0.27 \(m_{e}\) |
m∗B | effective mass \(B =\Delta _{2}\) valley [9] | 0.94 \(m_{e}\) |
\(T_{L}\) | lattice temperature | 300 K |
ρ | mass density | 2.33 g/cm3 |
\(v_{s}\) | average sound speed | 9 × 105 cm/s |
\(D_{ac}\) | acoustic-phonon deformation potential | 9 eV |
\(D_{o}\) | intra-valley deformation potential g-scat [27] | 1.1 × 109 eV/cm |
\(\sim \omega _{o}\) | intra-valley phonon energy [27] | 63.3 meV |
\(Z_{o}\) | number equivalent valleys [27] | 1 |
\(D_{iv}\) | inter-valley deformation potential f-scat [27] | 2 × 108 eV/cm |
\(\sim \omega _{iv}\) | inter-valley phonon energy [27] | 47.48 meV |
\(Z_{iv}\) | number equivalent valleys [27] | 2 |
\(\varepsilon_{0_{A}}\) | \(A =\Delta _{4}\) valley energy minimum [9] | 0 |
\(\varepsilon_{0_{B}}\) | \(B =\Delta _{2}\) valley energy minimum [9] | 117 meV |
\(\Delta_{\mathrm{sr}}\) | rms height [27] | 0.3 nm |
\(\lambda_{\mathrm{sr}}\) | correlation length [27] | 1.5 nm |