Question

Consider an n-doped semiconductor with an effective electron mass equal to one half the free electron...

Consider an n-doped semiconductor with an effective electron mass equal to one half the free electron mass, and a dielectric constant of 2. Which of the following statements is correct? More than one is correct

A. The impurity will look like a hydrogen atom, but with a hole circling it instead of an electron

B. The impurities will look like Hydrogen atoms, but smaller in size than a Hydrogen atom in free space

C. The impurity will look like a Hydrogen atom with an ionization energy about 1.7 eV

D. The impurity will look like a Hydrogen atom with an ionization energy about 3.4 eV

E. The impurity will look like a Hydrogen atom with an ionization energy about 0.85 eV

F. The Bohr radius of the impurity is about 2.12 Angstrom

G. The Bohr radius of the impurity is about 0.53 Angstrom

H. The Bohr radius of the impurity is about 0.14 Angstrom

Homework Answers

Answer #1

(E) The impurity will look like a hydrogen atom with an ionization energy about 0.85 eV

(F) The bohr radius of impurity is about 2.12 Angstrom.

Explanation :

Ionization energy of hydrogen atom is given by

Thus decreasing charge by 2 and increasing dielectric constant by 2, decreases ionization energy by 16 times. (= 13.6 eV/16 = 0.85 eV)

And Bohr radius is

Thus decreasing charge by twice and increasing dielectric constant by 2 increases bohrs radius 4- times. (= 0.53 Angstrom x 4 = 2.12 Angstrom)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The PbS electron and hole effective masses are both 0.090 m0 and the dielectric constant is...
The PbS electron and hole effective masses are both 0.090 m0 and the dielectric constant is 15.3. Calculate the radius of an exciton in PbS. What is the electron-hole binding energy? How does this energy compare to thermal energy (kT) at room temperature? (Hint: recall that the hydrogen atom has a Bohr radius of 0.053 nm and a binding energy of 13.6 eV)
Consider the Bohr model of the hydrogen atom for which an electron in the ground state...
Consider the Bohr model of the hydrogen atom for which an electron in the ground state executes uniform circular motion about a stationary proton at radius a0. (a) Find an expression for the kinetic energy of the electron in the ground state. (b) Find an expression for the potential energy of the electron in the ground state. (c) Find an expression for the ionization energy of an electron from the ground state of the hydrogen atom. The ionization energy is...
1. Compute the resistivity of an intrinsic semiconductor at 300 K, in units of Ω-m, given...
1. Compute the resistivity of an intrinsic semiconductor at 300 K, in units of Ω-m, given that it has an intrinsic carrier concentration of 4.9 x1022m-3 and electron and hole mobilities of 0.53 and 0.09 m2/V-s, respectively. 2. The intrinsic concentration of electrons and holes (i.e. concentration of e-h pairs) in Si at room temperature is approximately 1x1010 cm-3. Given the density and atomic mass of Si to be 2.33 g/cm3 and 28.06 g/mol, determine the ratio of ionized to...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well is 4.0 eV. If the width of the well is doubled, what is its lowest energy? b) Find the distance of closest approach of a 16.0-Mev alpha particle incident on a gold foil. c) The transition from the first excited state to the ground state in potassium results in the emission of a photon with  = 310 nm. If the potassium vapor is...
1) Describe an example of each of the following that may be found of your kitchen:...
1) Describe an example of each of the following that may be found of your kitchen: Explain how your choice falls into this category, and if there is a chemical name or symbol for it, provide that as well. Provide a photo of your example with your ID card in it. a) a compound b) a heterogeneous mixture c) an element (symbol) Moving to the Caves… Lechuguilla Caves specifically. Check out this picture of crystals of gypsum left behind in...