MODERN PHYSICS (LOOSELEAF)
4th Edition
ISBN: 9781119495550
Author: Krane
Publisher: WILEY
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Problem #5: Calculate the equilibrium electron and hole densities for the following samples and determine if
they are n-type, p-type or intrinsic:
A) Si doped with 7x1017cm-³ Boron atoms.
B) Si doped with 2x101$cm-³ phosphorous atoms and with 2x1017cm³ boron atoms.
C) Si doped with 2x1018cm3 phosphorous atoms and with 2x1018cm-3 boron atoms.
Q1: Consider the ideal laser medium behaves as a four-level system and the population inversion between states 2 and
3. The pump excites the atoms to states 3 and 2 at a rate pumping R3 and R₂, respectively. State 4 decays back to 3
so fast. What is the pump rate in the absence of the saturating beam and no oscillation on the state 3? Assume that
the degeneracies in all states are different.
The radial wave function for the 5f orbital can be expressed as:
Rn (r) = Ne-r/5 p3 (8-4) where N is a normalization constant.
a. What is n? n =
a. What is l? =
c. How many nodes does this wave function have? # nodes=
d. Compute the numerical value of the integral
Jo
I 2 Rn,Kr) Rn,(r) dr :
Chapter 8 Solutions
MODERN PHYSICS (LOOSELEAF)
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- Question 3: Consider electron and vibrational (nuclear) dynamics of a metal cluster that consists of Au- S bonds. The cluster is spherical, with spatial confinement of one nanometer. If the cluster is excited using 800-nm, how long would it take for an electron to move one nanometer (i.e. across the cluster)? How long would it take for one of the sulfur atoms to move the same distance?arrow_forwardOne can now use integrated-circuit technology to manufacture a "box" that traps electrons in a region only a few nanometers wide. Imagine that we make an essentially one-dimensional box with a length of 3 nanometers. Suppose we put 10 electrons in such a box and allow them to settle into the lowest possible energy states consistent with the Pauli exclusion principle. a) What will be the value of the highest energy level occupied by at least one electron? b) What will be the electrons' total energy (ignoring their electrostatic repulsion)? c) How would your answers to the above be different if the electrons were bosons instead of fermions? d) What is the wavelength of the lowest energy photon that can be absorbed (the electrons in this box are fermions)?arrow_forwardWrite down for yourself the expression for the radial distribution function of a 2s electron in a hydrogenic atom and determine the radius in Angstroms at which the electron is most likely to be found. Assume the species has an atomic number of 2. (Ans. in Agstroms)arrow_forward
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