Energy Levels in H - Energy
Levels
in
a
H
Atom 


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Unformatted text preview: Energy
Levels
in
a
H
Atom 
 For
any
given
electronic
transi0on
 hν = ΔE
=
E2
–
E1
 Balmer
Series
n2
=
2

 (Johann
Balmer
–
1885)
 ΔE
=
‐2.178
x
10-18 J
(1/n22
–
1/n12)
 Lyman
Series
n2
=
1
 Rydberg
Equa0on
(1888)

 in
a
Hydrogen
atom
Z
=
1
 1
/
λ
=
E
/
hc
=
R
(1/n22
–
1/n12)
 
 Where
R
=
1.097x107m‐1

 or




E
=
R*
(1/n22
–
1/n12)
 
 Where
R*
=
Rhc

=2.179873×10−18
J

 What
is
the
wavelength
of
a
 photon
emiVed
when
the
 electron
in
a
H
atom
drops
from
 the
n
=
4
level
to
the
n
=
2
 (ground
state
level)
?
 1
/
λ
=
R
(1/n22
–
1/n12) 
 1
/
λ
=
R
(1/22
–
1/42) 
 1
/
λ
=
1.097x107m‐1
(3/16)
 
 λ =
4.862x10‐7m 
 λ
=
486.2
nm 
 ...
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