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Dalal Alawad

Dalal A.

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Consider silicon at $T=300 \mathrm{~K}$ that is doped with donor impurity atoms to a concentration of $N_{d}=5 \times 10^{15} \mathrm{~cm}^{-3} .$ The excess carrier lifetime is $2 \times 10^{-7} \mathrm{~s}$. (a) Determine the thermal equilibrium recombination rate of holes. $(b)$ Excess carriers are generated such that $\delta n=\delta p=10^{14} \mathrm{~cm}^{-3}$. What is the recombination rate of holes for this condition?

Consider silicon at $T=300 \mathrm{~K}$ that is doped with donor impurity atoms to a concentration of $N_{d}=5 \times 10^{15} \mathrm{~cm}^{-3} .$ The excess carrier lifetime is $2 \times 10^{-7} \mathrm{~s}$. (a) Determine the thermal equilibrium recombination rate of holes. $(b)$ Excess carriers are generated such that $\delta n=\delta p=10^{14} \mathrm{~cm}^{-3}$. What is the recombination rate of holes for this condition?

Semiconductor Physics and Devices

For an $n$-type silicon sample with $10^{16} \mathrm{~cm}^{-3}$ phosphorous donor impurities and a donor level at $E_{D}=0.045 \mathrm{eV}$, find the ratio of the neutral donor density to the ionized donor density at $77 \mathrm{~K}$ where the Fermi level is $0.0459$ below the bottom of the conduction band. The expression for ionized donors is given in Prob. $20 .$

Semiconductor Devices: Physics and Technology

Consider silicon at $T=300 \mathrm{~K}$ with donor concentrations of $N_{d}=10^{14}, 10^{15}, 10^{16}$, and $10^{17}, \mathrm{~cm}^{-3} .$ Assume $N_{a}=0 .(a)$ Calculate the position of the Fermi energy level with respect to the conduction band for these donor concentrations. ( $b$ ) Determine the position of the Fermi energy level with respect to the intrinsic Fermi energy level for the donor concentrations given in part $(a)$.

Consider silicon at $T=300 \mathrm{~K}$ with donor concentrations of $N_{d}=10^{14}, 10^{15}, 10^{16}$, and $10^{17}, \mathrm{~cm}^{-3} .$ Assume $N_{a}=0 .(a)$ Calculate the position of the Fermi energy level with respect to the conduction band for these donor concentrations. ( $b$ ) Determine the position of the Fermi energy level with respect to the intrinsic Fermi energy level for the donor concentrations given in part $(a)$.

Semiconductor Physics and Devices

Calculate the Fermi level of silicon doped with $10^{15}, 10^{17}$, and $10^{19}$ phosphorus atoms/cm $^{3}$ at room temperature, assuming complete ionization. From the calculated Fermi level, check if the assumption of complete ionization is justified for each doping. Assume that the ionized donors is given by $n=N_{D}\left[1-F\left(E_{D}\right)\right]=\frac{N_{D}}{1+\exp \left[\left(E_{F}-E_{D}\right) / k T\right]}$

Semiconductor Devices: Physics and Technology

Questions asked

ANSWERED

A particle of rest energy \( 547 \mathrm{MeV} \) is moving in the \( x \) direction with a speed of \( 0.624 c \).It decays into 2 new particles, each of rest energy \( 106 \mathrm{MeV} \). One of the decay particleshas a kinetic energy of \( 301 \mathrm{MeV} \) and is moving at an angle of \( 38^{\circ} \) relative to the \( x \) axis. (a) What is the kinetic energy of the second decay particle? (b) What is the direction of the second decay particle relative to the \( x \) axis?

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