College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 29, Problem 70MSPP
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3. Semiconductor Quantum-Dot Laser
Semiconductor quantum-dots are quantum systems with typical three-dimensional size of
a few nanometers. They are being explored for optoelectronic application such as a quantum-
dot laser. The figure below shows the infrared laser emission (middle) at 1 =
1.28 µm from
InAs quantum-dots. Also shown is an AFM image (left) indicating the size of the InAs
quantum-dots. You need to estimate the size of the quantum-dots by modeling the electron as
confined in a nanocube of side L (right) and compare your result with the AFM measurement.
V = c0
V = 00
> y
7.
V = 0
L
200 nm
L
1100
1200
Wavelength (nm)
1300
1400
1500
Atomic-Force Microscopy
of as-grown InAs
quantum dots
Lasing spectrum with
emission at A = 1.28 um
(a) By direct substitution into the time-independent Schrödinger in three-dimensions,
h2 [02p(x,y,z) , a²Þ(x,y,z) , 0²µ(x, y, z)]
ду?
+ V(x,y, z)þ(x) = Ep(x,y,z)
+
2m
show that the wavefunction of the electron is
3/2
[MT
Pimn (X, y, x)
sin
+
sin
y +…
The relation between atomic levels and the emitted wavelength d
for Balmer Series is given below.
1
1
R
22
1
where, R = 1.097 x 107 m-1
|
nº
Calculate the emitted wavelength, when electron jumps from
higher atomic level n =3 to n' = 2 using the above equation.
A. 15 nm
B. 1.5 x 106 m
C. 1.5 µm
D. 656 nm
write the answer without explain quickly
Laser physics
Obviously a laser system operates correctly when the
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true
false
Chapter 29 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQ
Ch. 29 - Prob. 11CQCh. 29 - Prob. 12CQCh. 29 - Prob. 13CQCh. 29 - Prob. 14CQCh. 29 - Prob. 15CQCh. 29 - Prob. 16CQCh. 29 - Prob. 17CQCh. 29 - Prob. 18CQCh. 29 - Prob. 20CQCh. 29 - Prob. 21CQCh. 29 - Prob. 22CQCh. 29 - Prob. 23CQCh. 29 - Prob. 24CQCh. 29 - Prob. 25CQCh. 29 - Prob. 27MCQCh. 29 - Prob. 28MCQCh. 29 - Prob. 29MCQCh. 29 - Prob. 30MCQCh. 29 - Prob. 31MCQCh. 29 - Prob. 32MCQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52GPCh. 29 - Prob. 53GPCh. 29 - Prob. 54GPCh. 29 - Prob. 55GPCh. 29 - Prob. 56GPCh. 29 - Prob. 57GPCh. 29 - Prob. 58GPCh. 29 - Prob. 59GPCh. 29 - Prob. 60GPCh. 29 - Prob. 61GPCh. 29 - Prob. 62GPCh. 29 - Prob. 63GPCh. 29 - Prob. 64GPCh. 29 - Prob. 65GPCh. 29 - Prob. 66GPCh. 29 - Prob. 67GPCh. 29 - Prob. 69GPCh. 29 - Prob. 70MSPPCh. 29 - Prob. 71MSPPCh. 29 - Prob. 72MSPPCh. 29 - Prob. 73MSPPCh. 29 - Prob. 74MSPPCh. 29 - Prob. 75MSPPCh. 29 - Prob. 77MSPP
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- For an electron in a three-dimensional metal, show that the average energy is given by E=1N0EFEg(E)dE=35EF , Where N is the total number electrons in the metal.arrow_forwardThe Hall effect is demonstrated in the laboratory. A thin rectangular strip of semiconductor with width 5 cm and cross-sectional area 2 mm" is attached to a battery and immersed in a field perpendicular to its surface. The Hall voltage reads 12.5 V and the measured drift velocity is 50 m. s. What is the magnetic field?arrow_forwardWhat value of energy corresponds to a density of states of 1.101024eV1 ?arrow_forward
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