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2.1 Atomic Structure—Protons, Electrons, and Neutrons
chapter outline
chapter goals
2.1
Atomic Structure–Protons,
Electrons, and Neutrons
See Chapter Goals Revisited (page 96) for
Study Questions keyed to these goals.
2.2
Atomic Number and Atomic Mass
•
2.3
Isotopes
Describe atomic structure and define
atomic number and mass number.
2.4
Atomic Weight
•
2.5
The Periodic Table
2.6
Molecules, Compounds, and
Formulas
Understand the nature of isotopes and
calculate atomic masses from isotopic
masses and abundances.
•
2.7
Ionic Compounds: Formulas,
Names, and Properties
Know the terminology of the periodic
table.
•
2.8
Molecular Compounds: Formulas
and Names
Interpret, predict, and write formulas
for ionic and molecular compounds.
Name ionic and molecular compounds.
2.9
Atoms, Molecules, and the
Mole
•
•
•
Explain the concept of the mole and
use molar mass in calculations.
•
Derive compound formulas from
experimental data.
2.10 Describing Compound Formulas
2.11
Hydrated Compounds
51
Understand some properties of ionic
compounds.
T
he chemical elements are forged in stars and, from these elements, molecules such as water and ammonia are made in outer space. These simple
molecules and much more complex ones such as DNA and hemoglobin are
found on earth. To comprehend the burgeoning fields of molecular biology as well
as all modern chemistry, we have to understand the nature of the chemical elements
and the properties and structures of molecules. This chapter begins our exploration
of the chemistry of the elements, the building blocks of chemistry, and the compounds they form.
Sign in to OWL at www.cengage.com/
owl to view tutorials and simulations,
develop problem-solving skills, and
complete online homework assigned
by your professor.
Nucleus (protons and neutrons)
2.1 Atomic Structure—Protons, Electrons,
and Neutrons
Around 1900 a series of experiments done by scientists in England such as Sir
Joseph John Thomson (1856–1940) and Ernest Rutherford (1871–1937) established a model of the atom that is still the basis of modern atomic theory. Atoms
themselves are made of subatomic particles, three of which are important in
chemistry: electrically positive protons, electrically negative electrons, and, in all
except one type of hydrogen atom, electrically neutral neutrons. The model
places the more massive protons and neutrons in a very small nucleus (Figure
2.1), which contains all the positive charge and almost all the mass of an atom.
Electrons, with a much smaller mass than protons or neutrons, surround the nucleus and occupy most of the volume. In a neutral atom, the number of electrons
equals the number of protons.
The chemical properties of elements and molecules depend largely on the electrons in atoms. We shall look more carefully at their arrangement and how they influence atomic properties in Chapters 6 and 7. In this chapter, however, we first
want to describe how the composition of the atom relates to its mass and then to the
mass of compounds. This is crucial information when we consider the quantitative
aspects of chemical reactions in later chapters.
kotz_48288_02_0050-0109.indd 51
Electron cloud
FIGURE 2.1 The structure of
the atom. All atoms contain a nucleus
with one or more protons (positive
electric charge) and, except for one
type of H atom, neutrons (no charge).
Electrons (negative electric charge) are
found in space as a “cloud” around the
nucleus. In an electrically neutral atom,
the number of electrons equals the
number of protons. Note that this
figure is not drawn to scale. If the
nucleus were really the size depicted
here, the electron cloud would extend
over 200 m. The atom is mostly
empty space!
51
11/22/10 9:14 AM
52
c h a p t er 2 Atoms, Molecules, and Ions
2.2 Atomic Number and Atomic Mass
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concept review and exam prep from
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Atomic Number
All atoms of a given element have the same number of protons in the nucleus. Hydrogen is
the simplest element, with one nuclear proton. All helium atoms have two protons,
all lithium atoms have three protons, and all beryllium atoms have four protons.
The number of protons in the nucleus of an element is given by its atomic number,
which is generally indicated by the symbol Z.
Currently known elements are listed in the periodic table inside the front cover
of this book and on the list inside the back cover. The integer number at the top of
the box for each element in the periodic table is its atomic number. A sodium atom
(Na), for example, has an atomic number of 11, so its nucleus contains 11 protons.
A uranium atom (U) has 92 nuclear protons and Z = 92.
Relative Atomic Mass and the Atomic Mass Unit
Copper
29
Cu
Atomic number
Symbol
• Historical Perspective on the
Development of Our Understanding
of Atomic Structure A brief history
of important experiments and the
scientists involved in developing
the modern view of the atom is on
pages 334–343.
With the quantitative work of the great French chemist Antoine Laurent Lavoisier
(1743–1794), chemistry began to change from medieval alchemy to a modern field
of study (page 112). As 18th- and 19th-century chemists tried to understand how the
elements combined, they carried out increasingly quantitative studies aimed at
learning, for example, how much of one element would combine with another.
Based on this work, they learned that the substances they produced had a constant
composition, so they could define the relative masses of elements that would combine to produce a new substance. At the beginning of the 19th century, John Dalton
(1766–1844) suggested that the combinations of elements involve atoms and proposed a relative scale of atom masses. Apparently for simplicity, Dalton chose a mass
of 1 for hydrogen on which to base his scale.
The atomic mass scale has changed since 1800, but like the 19th-century
chemists, we still use relative masses with the standard today being carbon. A carbon atom having six protons and six neutrons in the nucleus is assigned a mass
value of exactly 12. From chemical experiments and physical measurements, we
know an oxygen atom having eight protons and eight neutrons has 1.33291 times
the mass of carbon, so it has a relative mass of 15.9949. Masses of atoms of other
elements are assigned in a similar manner.
Masses of fundamental atomic particles are often expressed in atomic mass
units (u). One atomic mass unit, 1 u, is one-twelfth of the mass of an atom of carbon with six
protons and six neutrons. Thus, such a carbon atom has a mass of exactly 12 u. The
atomic mass unit can be related to other units of mass using the conversion factor 1
atomic mass unit (u)=1.661ì1024 g.
Mass Number
How Small Is an Atom? The radius
of the typical atom is between 30 and
300 pm (3 × 10–11 m to 3 × 10–10 m). To
get a feeling for the incredible smallness of an atom, consider that
1 cm3 contains about three times as
many atoms as the Atlantic Ocean
contains teaspoons of water.
Because proton and neutron masses are so close to 1 u, while the mass of an electron is only about 1/2000 of this value (Table 2.1), the approximate mass of an atom
can be estimated if the number of neutrons and protons is known. The sum of the
number of protons and neutrons for an atom is called its mass number and is given
the symbol A.
A = mass number = number of protons + number of neutrons
For example, a sodium atom, which has 11 protons and 12 neutrons in its nucleus,
has a mass number of 23 (A = 11 p + 12 n). The most common atom of uranium
has 92 protons and 146 neutrons, and a mass number of A = 238. Using this information, we often symbolize atoms with the following notation:
Mass number
Atomic number
A
ZX
Element symbol
The subscript Z is optional because the element’s symbol tells us what the
atomic number must be. For example, the atoms described previously have
kotz_48288_02_0050-0109.indd 52
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2.2 Atomic Number and Atomic Mass
53
Table 2.1 Properties of Subatomic Particles*
Mass
Particle
Grams
Electron
9.109383 × 10
0.0005485799
1−
0
−1e
Proton
1.672622 × 10−24
1.007276
1+
1
1p
or p+
Neutron
1.674927 × 10−24
1.008665
0
1
0n
or n
Atomic Mass Units
−28
Charge
Symbol
or e−
*These values and others in the book are taken from the National Institute of Standards and Technology
website at http://physics.nist.gov/cuu/Constants/index.html
the symbols 23
11Na or
“uranium-238.”
238
92U,
EXAMPLE 2.1
Atomic Composition
or just
23
Na or
238
U. In words, we say “sodium-23” or
Problem What is the composition of an atom of phosphorus with 16 neutrons? What is its mass
number? What is the symbol for such an atom? If the atom has an actual mass of 30.9738 u, what
is its mass in grams? Finally, what is the mass of this phosphorus atom relative to the mass of a
carbon atom with a mass number of 12?
What Do You Know? You know the name of the element and the number of neutrons. You also
know the actual mass, so you can determine its mass relative to carbon-12.
Strategy The symbol for phosphorus is P. You can look up the atomic number (which equals the
number of protons) for this element on the periodic table. The mass number is the sum of the
number of protons and neutrons. The mass of the atom in grams can be obtained from the mass
in atomic mass units using the conversion factor 1 u = 1.661 × 10−24 g. The relative mass of an
atom of P compared to 12C can be determined by dividing the mass of the P atom in atomic mass
units by the mass of a 12C atom, 12.0000 u.
Solution A phosphorus atom has 15 protons and, because it is electrically neutral, also has
15 electrons. A phosphorus atom with 16 neutrons has a mass number of 31.
Mass number = number of protons + number of neutrons = 15 + 16 = 31
The atom’s complete symbol is 3115P.
Mass of one 31P atom = (30.9738 u) × (1.661 × 10−24 g/u) = 5.145 × 10−23 g
Mass of 31P relative to the mass of an atom of 12C: 30.9738/12.0000 = 2.58115
Think about Your Answer Because phosphorus has an atomic number greater than carbon’s,
you expect its relative mass to be greater than 12.
Check Your Understanding
1.
What is the mass number of an iron atom with 30 neutrons?
2.
A nickel atom with 32 neutrons has a mass of 59.930788 u. What is its mass in grams?
3.
How many protons, neutrons, and electrons are in a 64Zn atom?
rEvIEW & cHEcK FOr SEctIOn 2.2
1.
The mass of an atom of manganese is 54.9380 u. How many neutrons are contained in one
atom of this element?
(a)
2.
25
(b) 30
(c)
29
(d) 55
An atom contains 12 neutrons and has a mass number of 23. Identify the element.
(a)
kotz_48288_02_0050-0109.indd 53
C
(b) Mg
(c)
Na
(d) Cl
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54
c h a p t er 2 Atoms, Molecules, and Ions
2.3 Isotopes
Solid H2O
Solid D2O
FIGURE 2.2 Ice made from
“heavy water.” Water containing
ordinary hydrogen (11H, protium) forms a
solid that is less dense (d = 0.917 g/cm3
at 0 °C) than liquid H2O (d = 0.997 g/cm3
at 25 °C), so it floats in the liquid.
(Water is unique in this regard. The
solid phase of virtually all other substances sinks in the liquid phase of
that substance.) Similarly, “heavy ice”
(D2O, deuterium oxide) floats in “heavy
water.” D2O-ice is denser than liquid
H2O, however, so cubes made of D2O
sink in liquid H2O.
© Cengage Learning/Charles D. Winters
Liquid H2O
In only a few instances (for example, aluminum, fluorine, and phosphorus) do all
atoms in a naturally occurring sample of a given element have the same mass. Most
elements consist of atoms having several different mass numbers. For example, there
are two kinds of boron atoms, one with a mass of about 10 (10B) and a second with a
mass of about 11 (11B). Atoms of tin can have any of 10 different masses. Atoms with
the same atomic number but different mass numbers are called isotopes.
All atoms of an element have the same number of protons—five in the case of
boron. To have different masses, isotopes must have different numbers of neutrons.
The nucleus of a 10B atom (Z = 5) contains five protons and five neutrons, whereas
the nucleus of a 11B atom contains five protons and six neutrons.
Scientists often refer to a particular isotope by giving its mass number (for example, uranium-238, 238U), but the isotopes of hydrogen are so important that they
have special names and symbols. All hydrogen atoms have one proton. When that is
the only nuclear particle, the isotope is called protium, or just “hydrogen.” The isotope of hydrogen with one neutron, 21H, is called deuterium, or “heavy hydrogen”
(symbol = D). The nucleus of radioactive hydrogen-3, 31H, or tritium (symbol = T),
contains one proton and two neutrons.
The substitution of one isotope of an element for another isotope of the same
element in a compound sometimes can have an interesting effect (Figure 2.2). This
is especially true when deuterium is substituted for hydrogen because the mass of
deuterium is double that of hydrogen.
Isotope Abundance
A sample of water from a stream or lake will consist almost entirely of H2O where the
H atoms are the 1H isotope. A few molecules, however, will have deuterium (2H) substituted for 1H. We can predict this outcome because we know that 99.985% of all hydrogen atoms on earth are 1H atoms. That is, the abundance of 1H atoms is 99.985%.
Percent abundance ϭ
number of atoms of a given isotope
ϫ 100% (2.1)
total number of atoms of all isotoopes of that element
The remainder of naturally occurring hydrogen is deuterium, whose abundance is
only 0.015% of the total hydrogen atoms. Tritium, the radioactive 3H isotope, occurs naturally in only trace amounts.
Consider again the two isotopes of boron. The boron-10 isotope has an abundance of 19.91%; the abundance of boron-11 is 80.09%. Thus, if you could count
out 10,000 boron atoms from an “average” natural sample, 1991 of them would be
boron-10 atoms and 8009 of them would be boron-11 atoms.
Determining Atomic Mass and Isotope Abundance
• Atomic Masses of Some Isotopes
Atom
Atomic Mass (u)
4
He
4.0092603
13
C
13.003355
16
O
15.994915
58
Ni
57.935346
60
Ni
59.930788
79
Br
78.918336
81
Br
80.916289
197
Au
196.966543
238
U
238.050784
• Isotopic Masses and the Mass
Defect Actual masses of atoms are always less than the sum of the masses
of the subatomic particles composing
that atom. This is called the mass defect
and the reason for it is discussed in
Chapter 23.
kotz_48288_02_0050-0109.indd 54
The masses of isotopes and their abundances are determined experimentally using a
mass spectrometer (Figure 2.3). A gaseous sample of an element is introduced into
the evacuated chamber of the spectrometer, and the atoms or molecules of the sample are converted to positively charged particles (called ions). The cloud of ions
forms a beam as they are attracted to negatively charged plates within the instrument. As the ions stream toward the negatively charged detector, they fly through a
magnetic field, which causes the paths of the ions to be deflected. The extent of deflection depends on particle mass: The less massive ions are deflected more, and the
more massive ions are deflected less. The ions, now separated by mass, are detected
at the end of the chamber. Chemists using modern instruments can measure isotopic
masses to as many as nine significant figures.
Except for carbon-12, whose mass is defined to be exactly 12 u, isotopic masses
do not have integer values. However, the isotopic masses are always very close to
the mass numbers for the isotope. For example, the mass of an atom of boron-11
(11B, 5 protons and 6 neutrons) is 11.0093 u, and the mass of an atom of iron-58
(58Fe, 26 protons and 32 neutrons) is 57.9333 u.
11/18/10 2:05 PM
55
2.4 Atomic Weight
IONIZATION
ACCELERATIO N
DEFLECTION
Magnet
Electron gun
A mass spectrum is a plot of the
relative abundance of the charged
particles versus the ratio of
mass/charge (m/z).
Heavy ions
are deflected
too little.
e−e−e−
e−e−e−
e−e−e−
∙
Gas inlet
DETECTION
20Ne+
∙
Repeller Electron
trap
plate
To mass
analyzer
22Ne+
Accelerating
plates
21Ne+
Magnet
Light ions
are deflected
too much.
To vacuum pump
1. A sample is introduced as a vapor
into the ionization chamber.
There it is bombarded with highenergy electrons that strip electrons
from the atoms or molecules of the
sample.
2. The resulting positive particles are
accelerated by a series of negatively
charged accelerator plates into an
analyzing chamber.
Detector
3. This chamber is in a magnetic
field, which is perpendicular to the
direction of the beam of charged
particles.
The magnetic field causes the beam
to curve. The radius of curvature
depends on the mass and charge of
the particles (as well as the
accelerating voltage and strength of
the magnetic field).
Relative Abundance
VA P O RIZATION
100
80
60
40
20
0
20
21
22
m/z
4. Here, particles of 21Ne+ are focused
on the detector, whereas beams of ions
of 20Ne+ and 22Ne+ (of lighter or
heavier mass) experience greater and
lesser curvature, respectively, and so
fail to be detected.
By changing the magnetic field, charged
particles of different masses can be
focused on the detector to generate the
observed spectrum.
FIGURE2.3 Mass spectrometer. A mass spectrometer will separate ions of different mass and
charge in a gaseous sample of ions. The instrument allows the researcher to determine the accurate mass
of each ion, whether the ions are composed of individual atoms, molecules, or molecular fragments.
rEvIEW & cHEcK FOr SEctIOn 2.3
Silver has two isotopes, one with 60 neutrons (percent abundance = 51.839%) and the other
with 62 neutrons. What is the symbol of the isotope with 62 neutrons, and what is its percent
abundance?
(a)
107
47Ag,
51.839%
(b)
107
47Ag,
48.161%
(c)
109
47Ag,
51.839%
(d)
109
47Ag,
48.161%
2.4 AtomicWeight
Every sample of boron has some atoms with a mass of 10.0129 u and others with a
mass of 11.0093 u. The atomic weight of the element, the average mass of a representative sample of boron atoms, is somewhere between these values. For boron, for
example, the atomic weight is 10.81. If isotope masses and abundances are known,
the atomic weight of an element can be calculated using Equation 2.2.
% abundance isotope 1
Atomic weight ϭ
(mass of isotope 1)
100
% abundance isotope 2
ϩ
(mass of isotope 2) ϩ . . .
100
(2.2)
• Atomic Mass, Relative Atomic
Mass, and Atomic Weight The atomic
mass is the mass of an atom at rest.
The relative atomic mass, also known
as the atomic weight or average atomic
weight, is the average of the atomic
masses of all of the element’s isotopes.
The term atomic weight is slowly being
phased out in favor of “relative atomic
mass.”
For boron with two isotopes (10B, 19.91% abundant; 11B, 80.09% abundant), we find
19.91
80.09
ϫ 10.0129 ϩ
ϫ 11.0093 ϭ 10.81
Atomic weight ϭ
100
100
Equation 2.2 gives an average mass, weighted in terms of the abundance of each
isotope for the element. As illustrated by the data in Table 2.2, the atomic weight of an
element is always closer to the mass of the most abundant isotope or isotopes.
kotz_48288_02_0050-0109.indd 55
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56
c h a p t er 2 Atoms, Molecules, and Ions
Table 2.2 Isotope Abundance and Atomic Weight
Element
Hydrogen
Boron
Neon
Magnesium
Symbol
Atomic
Weight
Mass
Number
Isotopic
Mass
Natural
Abundance (%)
H
1.00794
1
1.0078
99.985
D*
2
2.0141
0.015
T†
3
3.0161
0
10
10.0129
19.91
11
11.0093
80.09
20
19.9924
90.48
21
20.9938
0.27
22
21.9914
9.25
B
10.811
Ne
20.1797
Mg
24.3050
24
23.9850
78.99
25
24.9858
10.00
26
25.9826
11.01
*D = deuterium; †T = tritium, radioactive.
The atomic weight of each stable element is given in the periodic table inside
the front cover of this book. In the periodic table, each element’s box contains the
atomic number, the element symbol, and the atomic weight. For unstable (radioactive) elements, the atomic weight or mass number of the most stable isotope is given
in parentheses.
EXAMPLE 2.2
Calculating Atomic Weight from Isotope Abundance
© Cengage Learning/Charles D. Winters
Problem Bromine has two naturally occurring isotopes. One has a mass of 78.918338 u and an
abundance of 50.69%. The other isotope has a mass of 80.916291 u and an abundance of 49.31%.
Calculate the atomic weight of bromine.
What Do You Know? You know the mass and abundance of each of the two isotopes.
Strategy The atomic weight of any element is the weighted average of the masses of the isotopes in a representative sample. To calculate the atomic weight, multiply the mass of each isotope by its percent abundance divided by 100 (Equation 2.2).
Solution
Atomic weight of bromine = (50.69/100)(78.918338) + (49.31/100)(80.916291) = 79.90 u
Elemental bromine. Bromine is a
deep orange-red, volatile liquid at room
temperature. It consists of Br2 molecules in which two bromine atoms are
chemically bonded together. There are
two, stable, naturally occurring isotopes
of bromine atoms: 79Br (50.69% abundance) and 81Br (49.31% abundance).
Think about Your Answer You can quickly estimate the atomic weight from the data given.
There are two isotopes, mass numbers of 79 and 81, in approximately equal abundance. From this,
we would expect the average mass to be about 80, midway between the two mass numbers. The
calculation bears this out.
Check Your Understanding
Verify that the atomic weight of chlorine is 35.45, given the following information:
Example 2.3
35
Cl mass = 34.96885; percent abundance = 75.77%
37
Cl mass = 36.96590; percent abundance = 24.23%
Calculating Isotopic Abundances
Problem Antimony, Sb, has two stable isotopes: 121Sb, 120.904 u, and 123Sb, 122.904 u. What are
the relative abundances of these isotopes?
kotz_48288_02_0050-0109.indd 56
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57
2.4 Atomic Weight
What Do You Know? You know the masses of the two isotopes of the element and know their
weighted average, the atomic weight, is 121.760 u (see the periodic table).
Strategy You can predict that the lighter isotope (121Sb) must be the more abundant
because the atomic weight is closer to 121 than to 123. To calculate the abundances recognize
there are two unknown but related quantities, and you can write the following expression
(where the fractional abundance of an isotope is the percent abundance of the isotope
divided by 100)
Atomic weight = 121.760
= (fractional abundance of
121
(fractional abundance of
123
Sb)(120.904) +
© Phil Degginger/Alamy
A sample of the metalloid antimony. The element has two stable
isotopes, 121Sb and 123Sb.
Sb)(122.904)
or
121.760 = x(120.904) + y(122.904)
where x = fractional abundance of 121Sb and y = fractional abundance of 123Sb. Because you know
that the fractional abundances of the isotopes must equal 1, x + y = 1, and you can solve the
equations simultaneously for x and y.
Solution Because y = fractional abundance of 123Sb = 1 − x, you can make a substitution
for y.
121.760 = x(120.904) + (1 − x)(122.904)
Expanding this equation, you have
121.760 = 120.904x + 122.904 − 122.904x
Finally, solving for x, you find
121.760 − 122.904 = (120.904 − 122.904)x
x = 0.5720
The fractional abundance of 121Sb is 0.5720 and its percent abundance is 57.20% . This means that
the percent abundance of 123Sb must be 42.80%.
Think about Your Answer The result confirms your initial inference that the lighter isotope is
the more abundant of the two.
Check Your Understanding
Neon has three stable isotopes, one with a small abundance. What are the abundances of the
other two isotopes?
20
Ne, mass = 19.992435; percent abundance = ?
21
Ne, mass = 20.993843; percent abundance = 0.27%
22
Ne, mass = 21.991383; percent abundance = ?
rEvIEW & cHEcK FOr SEctIOn 2.4
1.
Which is the more abundant isotope of copper, 63Cu or 65Cu?
(a)
2.
63
Cu
(b)
65
Cu
Which of the following is closest to the observed abundance of 71Ga, one of two stable gallium isotopes (69Ga and 71Ga)?
(a)
kotz_48288_02_0050-0109.indd 57
60%
(b) 40%
(c)
20%
(d) 70%
11/18/10 2:05 PM
c h a p t er2 Atoms, Molecules, and Ions
case study
Using Isotopes: Ötzi, the Iceman of the Alps
In 1991 a hiker in the Alps on
the Austrian-Italian border
found the well-preserved remains of an
approximately 46-year-old man, now nicknamed “The Iceman,” who lived about
5200 years ago (page 1). Studies using isotopes of oxygen, strontium, lead, and argon,
among others, have helped scientists paint a
detailed picture of the man and his life.
The 18O isotope of oxygen can give information on the latitude and altitude in which
a person was born and raised. Oxygen in
biominerals such as teeth and bones comes
primarily from ingested water. The important fact is that there is a variation in the
amount of 18O water (H218O) that depends
on how far inland the watershed is found
and on its altitude. As rain clouds move
inland, water based on 18O will be “rained
out” before H216O. The lakes and rivers on
the northern side of the Alps are known to
have a lower 18O content than those on
the southern side of the mountains. On the
northern side precipitation originates in the
cooler, and more distant, Atlantic Ocean.
On the southern side, the precipitation
comes from the closer and warmer
Mediterranean Sea. The 18O content of the
teeth and bones of the Iceman was found to
be relatively high and characteristic of the
watershed south of the Alps. He had clearly
been born and raised in that area.
The relative abundance of isotopes of
heavier elements also varies slightly from
place to place and in their incorporation
into different minerals. Strontium, a member of Group 2A along with calcium, is incorporated into teeth and bones. The ratio of
strontium isotopes, 87Sr/86Sr, and of lead
isotopes, 206Pb/204Pb, in the Iceman’s teeth
and bones was characteristic of soils from a
narrow region of Italy south of the Alps,
which established more clearly where he
was born and lived of his life.
The investigators also looked for food
residues in the Iceman’s intestines. Although
a few grains of cereal were found, they also
located tiny flakes of mica believed to have
broken off stones used to grind grain and
that were therefore eaten when the man ate
the grain. They analyzed these flakes using
argon isotopes, 40Ar and 39Ar, and found
their signature was like that of mica in an
area south of the Alps, thus establishing
where he lived in his later years.
The overall result of the many isotope
studies showed that the Iceman lived thousands of years ago in a small area about
10–20 kilometers west of Merano in northern Italy.
For details of the isotope studies, see
W. Müller, et al., Science, Volume 302,
October 13, 2003, pages 862–866.
© Handout/Reuters/Corbis
58
ƯtzitheIceman. A well-preserved mummy
of a man who lived in northern Italy about
5000 years ago.
Questions:
1. How many neutrons are there in atoms
of 18O? In each of the two isotopes of
lead?
2. 14C is a radioactive isotope of carbon that
occurs in trace amounts in all living
materials. How many neutrons are in a
14
C atom?
3. The ratio 87Sr/86Sr in the Iceman study
was in the range of 0.72. How does this
compare with the ratio calculated from
average abundances (87Sr = 7.00% and
86
Sr = 9.86%)?
Answers to these questions are available in
Appendix N.
2.5 ThePeriodicTable
•AboutthePeriodicTable
For more
information on the periodic table we
recommend the following:
• American Chemical Society (pubs
.acs.org/cen/80th/elements.html).
• www.ptable.com
• J. Emsley: Nature’s Building Blocks—
An A–Z Guide to the Elements, New
York, Oxford University Press, 2001.
• E. Scerri, The Periodic Table, New
York, Oxford University Press, 2007.
Module1:ThePeriodicTable covers
concepts in this section.
kotz_48288_02_0050-0109.indd 58
The periodic table of elements is one of the most useful tools in chemistry. Not only
does it contain a wealth of information, but it can also be used to organize many of
the ideas of chemistry. It is important to become familiar with its main features and
terminology.
DevelopingthePeriodicTable
Although the arrangement of elements in the periodic table is now understood on
the basis of atomic structure [▶ Chapters 6 and 7], the table was originally developed from many experimental observations of the chemical and physical properties
of elements and is the result of the ideas of a number of chemists in the 18th and
19th centuries.
In 1869, at the University of St. Petersburg in Russia, Dmitri Ivanovitch Mendeleev (1834–1907) was pondering the properties of the elements as he wrote a
textbook on chemistry. On studying the chemical and physical properties of the elements, he realized that, if the elements were arranged in order of increasing atomic
mass, elements with similar properties appeared in a regular pattern. That is, he saw
a periodicity or periodic repetition of the properties of elements. Mendeleev organized the known elements into a table by lining them up in horizontal rows in order
of increasing atomic mass (page 50). Every time he came to an element with properties similar to one already in the row, he started a new row. For example, the elements Li, Be, B, C, N, O, and F were in a row. Sodium was the next element then
11/22/10 9:14 AM
2.5 The Periodic Table
A CLOSER LOOK
by Eric R. Scerri, UCLA
The Story of the Periodic Table
John C. Kotz
Dmitri Mendeleev was probably the greatest scientist produced by
Russia. The youngest of 14 children, he was
taken by his mother on a long journey, on
foot, in order to enroll him into a university.
However, several attempts initially proved
futile because, as a Siberian, Mendeleev was
barred from attending certain institutions.
His mother did succeed in enrolling him in a
teacher training college, thus giving
Mendeleev a lasting interest in science education, which contributed to his eventual
discovery of the periodic system that essentially simplified the subject of inorganic
chemistry.
Statue of Dmitri Mendeleev and a periodic
table. This statue and mural are at the Institute
of Metrology in St. Petersburg, Russia.
After completing a doctorate, Mendeleev
headed to Germany for a postdoctoral fellowship and then returned to Russia, where
he set about writing a book aimed at summarizing all of inorganic chemistry. It was
while writing this book that he identified
the organizing principle with which he is
now invariably connected—the periodic
system of the elements.
More correctly, though, the periodic system was developed by Mendeleev, as well as
five other scientists, over a period of about
10 years, after the Italian chemist Cannizzaro
had published a consistent set of atomic
weights in 1860. It appears that Mendeleev
was unaware of the work of several of his
co-discoverers, however.
In essence, the periodic table groups
together sets of elements with similar properties into vertical columns. The underlying
idea is that if the elements are arranged in
order of increasing atomic weights, there are
approximate repetitions in their chemical
properties after certain intervals. As a result
of the existence of the periodic table, students and even professors of chemistry were
no longer obliged to learn the properties of
all the elements in a disorganized fashion.
Instead, they could concentrate on the properties of representative members of the
eight columns or groups in the early shortform periodic table, from which they could
predict properties of other group members.
Mendeleev is justly regarded as the
leading discoverer of the periodic table
since he continued to champion the finding and drew out its consequences to a far
greater extent than any of his contemporaries. First, he accommodated the 65 or so
elements that were known at the time into
a coherent scheme based on ascending
order of atomic weight while also reflecting chemical and physical similarities.
Next, he noticed gaps in his system, which
he reasoned would eventually be filled by
elements that had not yet been discovered.
In addition, by judicious interpolation
between the properties of known elements, Mendeleev predicted the nature of
a number of completely new elements.
Within a period of about 20 years, three of
these elements—subsequently called gallium, scandium, and germanium—were
isolated and found to have almost the
exact properties that Mendeleev had predicted.
What is not well known is that about half
of the elements that Mendeleev predicted
were never found. But given the dramatic
success of his early predictions, these later
lapses have largely been forgotten.
Eric Scerri, The Periodic Table: Its Story and
Its Significance, Oxford University Press,
New York, 2007.
known; because its properties closely resembled those of Li, Mendeleev started a
new row. As more and more elements were added to the table, new rows were begun, and elements with similar properties (such as Li, Na, and K) were placed in the
same vertical column.
An important feature of Mendeleev’s table—and a mark of his genius—was that
he left an empty space in a column when he believed an element was not known but
should exist and have properties similar to the elements above and below it in his
table. He deduced that these spaces would be filled by undiscovered elements. For
example, he left a space between Si (silicon) and Sn (tin) in Group 4A for an element he called eka-silicon. Based on the progression of properties in this group,
Mendeleev was able to predict the properties of the missing element. With the discovery of germanium (Ge) in 1886, Mendeleev’s prediction was confirmed.
In Mendeleev’s table the elements were ordered by increasing mass. A glance at
a modern table, however, shows that, if some elements (such as Ni and Co, Ar and
K, and Te and I) were ordered by mass and not chemical and physical properties,
they would be reversed in their order of appearance. Mendeleev recognized these
discrepancies and simply assumed the atomic masses known at that time were
inaccurate—not a bad assumption based on the analytical methods then in use. In
fact, his order is correct and what was wrong was his assumption that element properties were a function of their mass.
kotz_48288_02_0050-0109.indd 59
59
• Mendeleev and Atomic Numbers
Mendeleev developed the periodic table based on atomic masses. The concept of atomic numbers was not known
until after the development of the
structure of the atom in the early 20th
century.
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60
c h a p t er 2 Atoms, Molecules, and Ions
In 1913 H. G. J. Moseley (1887–1915), a young English scientist working with
Ernest Rutherford (1871–1937), bombarded many different metals with electrons
in a cathode-ray tube (page 340) and examined the x-rays emitted in the process.
Moseley realized the wavelength of the x-rays emitted by a given element was related
in a precise manner to the positive charge in the nucleus of the atoms of
Transition Metals
Group 2B
Group 2A
Magnesium—Mg
Titanium—Ti
Vanadium—V
Chromium—Cr
Manganese—Mn
Iron—Fe
Cobalt—Co
Nickel—Ni
Copper—Cu
Zinc—Zn
Mercury—Hg
Group 1A
1A
Lithium—Li
1
H
2
Li Be
3
Na Mg
4
K
Group 8A, Noble Gases
Main Group Metals
Transition Metals
Metalloids
Nonmetals
2A
3B
7B
8A
2B
3A
4A
5A
6A
7A
B
C
N
O
F
Al Si
P
S
Cl Ar
Ne
4B
5B
6B
Ca Sc Ti
V
Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr
8B
1B
He
Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te
5
Rb Sr
6
Cs Ba La Hf Ta
7
Fr Ra Ac Rf Db Sg Bh Hs Mt Ds Rg Cn Uut Uuq Uup Uuh Uus Uuo
Y
W Re Os Ir
I
Xe
Pt Au Hg Tl Pb Bi Po At Rn
Neon—Ne
Potassium—K
Group 4A
Photos © Cengage Learning/Charles D. Winters
Group 3A
Boron—B
Carbon—C
Group 5A
Tin—Sn
Group 6A
Group 7A
Sulfur—S
Nitrogen—N2
Bromine—Br
Aluminum—Al
Silicon—Si
Lead—Pb
FIGURE 2.4 Some of the 118 known elements.
kotz_48288_02_0050-0109.indd 60
Selenium—Se
Phosphorus—P
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the element and that this provided a way to experimentally determine the atomic
number of a given element. Indeed, once atomic numbers could be determined,
chemists recognized that organizing the elements in a table by increasing atomic
number corrected the inconsistencies in Mendeleev’s table. The law of chemical
periodicity is now stated as the properties of the elements are periodic functions of atomic
number.
1
2
3
4
5
6
7
Periods
Features of the Periodic Table
A
The main organizational features of the periodic table are the following:
•
•
61
2.5 The Periodic Table
Elements are arranged so that those with similar chemical and physical properties lie in vertical columns called groups or families. The periodic table commonly used in the United States has groups numbered 1 through 8, with each
number followed by the letter A or B. The A groups are often called the main
group elements and the B groups are the transition elements.
The horizontal rows of the table are called periods, and they are numbered
beginning with 1 for the period containing only H and He. For example, sodium, Na, in Group 1A, is the first element in the third period. Mercury, Hg,
in Group 2B, is in the sixth period (or sixth row).
The periodic table can be divided into several regions according to the properties of the elements. On the table inside the front cover of this book, elements that
behave as metals are indicated in purple, nonmetals are indicated in yellow, and elements called metalloids appear in green. Elements gradually become less metallic as
one moves from left to right across a period, and the metalloids lie along the metalnonmetal boundary. Some elements are shown in Figure 2.4.
You are probably familiar with many properties of metals from your own experience (Figure 2.5a). At room temperature and normal atmospheric pressure metals
are solids (except for mercury), can conduct electricity, are usually ductile (can be
drawn into wires) and malleable (can be rolled into sheets), and can form alloys
(mixtures of one or more metals in another metal). Iron (Fe) and aluminum (Al)
are used in automobile parts because of their ductility, malleability, and low cost
relative to other metals. Copper (Cu) is used in electric wiring because it conducts
electricity better than most other metals.
The nonmetals lie to the right of a diagonal line that stretches from B to Te in
the periodic table and have a wide variety of properties. Some are solids (carbon,
sulfur, phosphorus, and iodine). Five elements are gases at room temperature (hydrogen, oxygen, nitrogen, fluorine, and chlorine). One nonmetal, bromine, is a
liquid at room temperature (Figure 2.5b). With the exception of carbon in the form
Bismuth
Copper
Bromine, Br2
Iodine, I2
3 4 5 6 7 8
B
3 4 5 6 7
8
1 2
Groups or Families
• Periods and Groups in the Periodic
Table One way to designate periodic
groups is to number them 1 through
18 from left to right. This method is
generally used outside the United
States. The system predominant in
the United States labels main group
elements as Groups 1A–8A and transition elements as Groups 1B–8B.
This book uses the A/B system.
Main Group Metals
Transition Metals
Metalloids
Nonmetals
Forms of
silicon
Photos © Cengage Learning/Charles D. Winters
Molybdenum
A
1 2
(a)
Metals Molybdenum (Mo, wire), bismuth (Bi, center
(a) Metals
(b)
(b) Nonmetals
Nonmetals Only about 18
(c)
(c) Metalloids
Metalloids Only 6 elements are gener-
object), and copper (Cu) are metals. Metals can be generally
drawn into wires and conduct electricity.
elements can be classified as
nonmetals. Here are orange-red
liquid bromine and purple solid
iodine.
ally classified as metalloids or semimetals.
This photograph shows solid silicon in
various forms, including a wafer that holds
printed electronic circuits.
FIGURE2.5 Metals, nonmetals, and metalloids.
kotz_48288_02_0050-0109.indd 61
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