ten electrons have a 1s
2 2s
2 2p
6 configuration, which is sometimes abbreviated as [Ne],
while the 1s
2 2s
2 2p
6 3s
2 3p
6 configuration of Ar is abbrev
iated as [Ar]. The symbol of the
preceding noble gas in a square bracket is often used to abbreviate electron configurations. K has 19 electrons, so its configuration is 1s
2 2s
2 2p
6 3s
2 3p
6 4s
1 , but it is often written
[Ar]4s
- Similarly, the configuration of the 34 electrons of selenium is [Ar]4s
2 3d
10
4p
- To
the right of each sublevel in Figure 2.15 is a list of those elements whose highest energy electrons are in that sublevel. Thus, the elements aluminum (Z = 13) through argon (Z = 18) are filling the 3p sublevel while scandium (Z = 21) through zinc (Z = 30) are filling the 3d sublevel.
2.8
QUANTUM THEORY AND THE PERIODIC TABLE
The periodic table contains four distinct bloc
ks (Figure 2.16): two columns on the left; six
columns on the right; ten columns in the middle; and fourteen columns inserted in the bottom. One of the major accomplishments of
modern quantum theory is that electron
configurations explain this arra
ngement of the periodic table.
Ba
H
He
B
C
N
O
FNe
Al
Si
P
SCl
Ar
Li
Be
Na MgK
Ca Sc
Ti
Cs
YZr
V Nb
Cr Mo
Rb Fr Ra
Sr
La
Hf
Ta W
Ac
Rf
Db
Sg
Mn Fe
Co
Cu
Zn
Ga Ge
As
Se
Br Kr
In Tl
Sn Sb
Te
I
Xe
Pb
Bi
Po At Rn
Tc Ru Rh Pd Ag
Ni
Cd
Re
Os
Ir Pt Au Hg
Bh Hs Mt UunUuu
Uub
Ce
Pr
Nd
Pm
Sm
Eu
Gd
Dy Ho
Tb
Er
Tm
Yb
Lu
Th
Pa U
Np
Pu Am Cm Bk
Cf
Es
Fm Md No Lr
l=0ns
l=2(n-1)d
l=3(n-2)f
l=1np
n^1234567
1
2
1 23 4 56 78 910
12345
6
Figure 2.16 Quantum numbers and the periodic table The number at the top of
each group is the number of electrons in
the highest energy sublevel for that group. Thus, the ‘6’ above Fe indicates that Fe has
six 3d electrons (3d
6 ).
(^) •
The column specifies the
l quantum number of the sublevel of the highest energy electrons in
an atom. The highest energy electrons in elements
in the first two columns are in s sublevels,
those in the last six are in p sublevels, thos
e in the 10 columns in the middle (transition
elements) are in d sublevels, and those in the
14 columns at the bottom are in f sublevels.
(^) •
The period (row) number equals the
principle quantum number of the
outermost shell
(n). The
principle quantum number s and p sublevels equals n,
but it is n-1 for the d sublevels and n-2
for the f sublevels.
Thus, the first two columns (Groups 1A and 2A) are called the
s block
, last 6 columns on
the right (Groups 3A through 8A) comprise the
p block
, the 10 columns in the middle (the
B groups or transition metals) form the
d block
, and the 14 columns at the bottom make
up the
f block
. The position of the element in a block equals the number of electrons that
element has in that sublevel. Example
2.6 shows how to determine the electron
configuration of an atom from its
position in the periodic table.
Example 2.6
Use the periodic table to determine the electron configurations of Ti and Bi. Ti is the second element in the d block of the 4th row. For the d block, n = row - 1 = 4 - 1 = 3, so it has two electrons in the 3d sublevel
. The previous noble gas is Ar, and only the 4s
block (K and Ca) lies between Ar and the 3d sublevel. Thus, Ti is [Ar] 4s
2 3d
2.
Chapter 2 Quantum Theory
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