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Find the concentrations of the minority and the majority carriers. 25 For N-type semiconductor, doped at the level of N D = 1016 cm−3 , determine the average distance between two holes if the semiconductor is (a) Si (b) 3C SiC (n i ≈ 10−1 cm−3 ) Review Questions Assume that the holes are uniformly distributed in space. 26 N-type Si, GaAs, and 4H SiC are all doped to the level of N D = 1017 cm−3 . Determine the volumes of each of these semiconductors that will on average contain 1 hole. 1 × 106 cm−3 , and n i ≈ 10−7 cm−3 , respectively.
6, the effect of the energy-level quantization can be visualized in an analogous manner. An important difference is that we are now dealing with a three-dimensional case. In this case, electrons create standing waves when the orbital circumference is equal to an integral number n of the wavelength λ: 2πr = nλ. The number n, expressing this quantization effect, is called the principal quantum number. The orbits that these numbers relate to are also referred to as electron shells. The wave functions corresponding to different values of n can be obtained by solving the Schr¨odinger equation with E pot (r ) as given by Eq.
The direction perpendicular to a given plane is also labeled by the same Miller indices, where [hkl] is used for a specific direction, perpendicular to (hkl), whereas hkl is used for a set of equivalent directions. As distinct from the sp3 hybridization, sp2 hybridization (observed in the C2 H2 molecule) leads to two-dimensional graphene crystal and carbon nanotubes. Carbon nanotubes can be thought of as cylinders rolled from two-dimensional graphene sheets. Both graphene and carbon nanotubes exhibit excellent mechanical strength owing to the strong atomic bonds and some unique electrical properties.