Journal of Nanomaterials

Research Article

Nanowire and Nanocable Intrinsic Quantum Capacitances and Junction Capacitances: Results for Metal and Semiconducting Oxides

Table 1

Capacitance formulas for nanocables and nanowires, under different limiting conditions.
FormulaFormula ( 𝐶 / [ 𝑅 𝜀 ] ) TypeLimit
(55) 1 2 √ { 1 − 0 . 5 / 1 + ( 𝑊 / 𝑅 ) 2 + ( 1 / 2 ) ( 𝑊 / 𝑅 ) 2 / [ 1 + ( 𝑊 / 𝑅 ) 2 ] 3 / 2 } − 1 Nanocable-Schottky 𝑅 ≫ 𝑡 N C
(57) 1 2 Nanocable-Schottky 𝑊 ≫ 𝑅
(62) 1 4 𝑅 𝑊 Planar Equiv. NC 𝑊 ≫ 𝑅
(81) 1 2 𝑊 𝑅 Symmetric p-n NC 𝑊 ≫ 𝑅
(83) 1 2 √ 1 + ( 𝑊 / 𝑅 ) 2 √ 1 + ( 2 𝑊 / 𝑅 ) 2 2 √ 1 + ( 2 𝑊 / 𝑅 ) 2 − √ 1 + ( 𝑊 / 𝑅 ) 2 Symmetric p-n NC 𝑅 ≫ 𝑡 N C
(85) 1 3 𝑊 𝑅 Symmetric p-n NC 𝑊 ≫ 𝑅
(100) 1 4 𝑊 1 + 𝑅 2 − 1 + 2 𝑊 𝑅 2 + ( 𝑊 / 𝑅 ) + ( 𝑅 / 𝑊 ) √ 1 + ( 𝑅 / 𝑊 ) 2 − ( 2 𝑊 / 𝑅 ) + ( 𝑅 / 2 𝑊 ) √ 1 + ( 𝑅 / 2 𝑊 ) 2 + 2 𝑊 𝑅 − 1 Symm. p-n NW 𝑊 ≫ 𝑅
(102) 𝑊 𝑅 Symm. p-n NWNone
(115) 1 2 𝑅 𝑊 Asym. p-n NW 𝜌 𝑝 → ∞