p40_027.pdf
(
58 KB
)
Pobierz
Chapter 40 - 40.27
27. The energy levels are given by
E
n
x
,n
y
=
h
2
8
m
n
x
L
x
+
n
y
L
y
=
h
2
8
mL
2
n
x
+
n
y
4
where the substitutions
L
x
=
L
and
L
y
=2
L
were made. In units of
h
2
/
8
mL
2
, the energy levels are
given by
n
x
+
n
y
/
4. The lowest five levels are
E
1
,
1
=1
.
25,
E
1
,
2
=2
.
00,
E
1
,
3
=3
.
25,
E
2
,
1
=4
.
25, and
E
2
,
2
=
E
1
,
4
=5
.
00. It is clear that there are no other possible values for the energy less than 5. The
frequency of the light emitted or absorbed when the electron goes from an initial state
i
to a final state
f
is
f
=(
E
f
−
−→
1,1), 1
.
25(1,3
−→
1,2), 2
.
25(2,1
−→
1,2), 3
.
00 (2,2
−→
1,2), 1
.
00 (2,1
−→
1,3), 1
.
75(2,2
−→
1,3),
0
.
75(2,2
−→
2,1), all in units of
h/
8
mL
2
.
E
i
)
/h
, and in units of
h/
8
mL
2
is simply the difference in the values of
n
x
+
n
y
/
4for
the two states. The possible frequencies are 0
.
75(1,2
−→
1,1), 2
.
00 (1,3
−→
1,1), 3
.
00 (2,1
−→
1,1), 3
.
75
(2,2
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p40_001.pdf
(53 KB)
p40_002.pdf
(51 KB)
p40_003.pdf
(52 KB)
p40_004.pdf
(53 KB)
p40_005.pdf
(56 KB)
Inne foldery tego chomika:
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chap02
chap03
chap04
chap05
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