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An electron (
m
=
9.109
×
10
−
31
m = 9.109\times10^{-31}
m
=
9.109
×
1
0
−
31
kg) tunnels through a rectangular barrier of height
Δ
V
=
1.0
\Delta V = 1.0
Δ
V
=
1.0
eV and width
a
=
0.5
a = 0.5
a
=
0.5
nm. In the thick-barrier approximation the transmission is
T
≈
e
−
2
κ
a
T \approx e^{-2 \kappa a}
T
≈
e
−
2
κa
with
κ
=
2
m
Δ
V
/
ℏ
\kappa = \sqrt{2 m \Delta V}/\hbar
κ
=
2
m
Δ
V
/ℏ
(
ℏ
=
1.0546
×
10
−
34
\hbar = 1.0546\times10^{-34}
ℏ
=
1.0546
×
1
0
−
34
J·s,
1
1
1
eV
=
1.602
×
10
−
19
= 1.602\times10^{-19}
=
1.602
×
1
0
−
19
J). What is
T
T
T
?
🔬 try it before you answer
≈ 0.00596
≈ 3.55e-5
≈ 0.0772
≈ 0.994
Check answer