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There are only 118 known chemical elements but tens of millions of known chemical compounds. Compounds can be very complex combinations of atoms, but many important compounds are fairly simple. Table salt, as we have seen, consists of only two elements: sodium and chlorine. Nevertheless, the compound has properties completely different from either elemental sodium (a chemically reactive metal) or elemental chlorine (a poisonous, green gas). We will see additional examples of such differences in this chapter and Chapter 4 "Covalent Bonding and Simple Molecular Compounds", as we consider how atoms combine to form compounds.

3.1 Two Types of Bonding

Atoms can join together by forming a chemical bond[1], which is a very strong attraction between two atoms. Chemical bonds are formed when electrons in different atoms interact with each other to make an arrangement that is more stable than when the atoms are apart.

What causes atoms to make a chemical bond with other atoms, rather than remaining as individual atoms? A clue comes by considering the noble gas elements, the rightmost column of the periodic table. These elements---helium, neon, argon, krypton, xenon, and radon---do not form compounds very easily, which suggests that they are especially stable as lone atoms. What else do the noble gas elements have in common? Except for helium, they all have eight valence electrons. Chemists have concluded that atoms are especially stable if they have eight electrons in their outermost shell. This useful rule of thumb is called the octet rule[2], and it is a key to understanding why compounds form.

There are two ways for an atom that does not have an octet of valence electrons to obtain an octet in its outer shell. One way is the transfer of electrons between two atoms until all atoms have octets. Because some atoms will lose electrons and some atoms will gain electrons, there is no overall change in the number of electrons, but individual atoms acquire a nonzero electric charge. Those that lose electrons become positively charged, and those that gain electrons become negatively charged. Charged atoms are called ions[3]. Because opposite charges attract (while like charges repel), these oppositely charged ions attract each other, forming ionic bonds[4]. The resulting compounds are called ionic compounds[5] and are the primary subject of this chapter.

The second way for an atom to obtain an octet of electrons is by sharing electrons with another atom. These shared electrons simultaneously occupy the outermost shell of more than one atom. The bond made by electron sharing is called a covalent bond. Covalent bonding and covalent compounds will be discussed in Chapter 4 "Covalent Bonding and Simple Molecular Compounds".

Example 1

A sodium atom has one valence electron. Do you think it is more likely for a sodium atom to lose one electron or gain seven electrons to obtain an octet?

Solution

Although either event is possible, a sodium atom is more likely to lose its single valence electron. When that happens, it becomes an ion with a net positive charge. This can be illustrated as follows:

Sodium atom

Sodium atom

Sodium ion

Sodium ion

11 protons

11+

11 protons

11+

11 electrons

11−

10 electrons

10−

0 overall charge

+1 overall charge

Skill-Building Exercise

  1. A fluorine atom has seven valence electrons. Do you think it is more likely for a fluorine atom to lose seven electrons or gain one electron to obtain an octet?

Concept Review Exercises

  1. What is the octet rule?

  2. How are ionic bonds formed?

Answers

  1. The octet rule is the concept that atoms tend to have eight electrons in their valence electron shell.

  2. Ionic bonds are formed by the attraction between oppositely charged ions.

Exercises

  1. Why is an ionic compound unlikely to consist of two positively charged ions?

  2. Why is an ionic compound unlikely to consist of two negatively charged ions?

  3. A calcium atom has two valence electrons. Do you think it will lose two electrons or gain six electrons to obtain an octet in its outermost electron shell?

  4. An aluminum atom has three valence electrons. Do you think it will lose three electrons or gain five electrons to obtain an octet in its outermost electron shell?

  5. A selenium atom has six valence electrons. Do you think it will lose six electrons or gain two electrons to obtain an octet in its outermost electron shell?

  6. An iodine atom has seven valence electrons. Do you think it will lose seven electrons or gain one electron to obtain an octet in its outermost electron shell?

Answers

  1. Positive charges repel each other, so an ionic compound is not likely between two positively charged ions.

  2. It is more likely to lose two electrons.

  3. It is more likely to gain two electrons.

3.2 Ions

Most atoms do not have eight electrons in their valence electron shell. Some atoms have only a few electrons in their outer shell, while some atoms lack only one or two electrons to have an octet. In cases where an atom has three or fewer valence electrons, the atom may lose those valence electrons quite easily until what remains is a lower shell that contains an octet. Atoms that lose electrons acquire a positive charge as a result because they are left with fewer negatively charged electrons to balance the positive charges of the protons in the nucleus. Positively charged ions are called cations[6]. Most metals become cations when they make ionic compounds.

Some atoms have nearly eight electrons in their valence shell and can gain additional valence electrons until they have an octet. When these atoms gain electrons, they acquire a negative charge because they now possess more electrons than protons. Negatively charged ions are called anions[7]. Most nonmetals become anions when they make ionic compounds.

Electron Transfer

We can use electron configurations to illustrate the electron transfer process between sodium atoms and chlorine atoms. Recall the electron configuration of sodium from Chapter 2 "Elements, Atoms, and the Periodic Table":

Na: 1s22s22p63s1

As demonstrated in Example 1 (in Section 3.1 "Two Types of Bonding"), sodium is likely to achieve an octet in its outermost shell by losing its one valence electron. The remaining species has the following electron configuration:

Chemical illustration: As demonstrated in Example 1 (in Section 3.1 "Two Types of Bonding" ), sodium is likely to achieve an octet in its outermost shell by losing its one valence electron. The remaining species has the following electron configuration:

The cation produced in this way, Na+, is called the sodium ion to distinguish it from the element. The outermost shell of the sodium ion is the second electron shell, which has eight electrons in it. The octet rule has been satisfied. Figure 3.1 "The Formation of a Sodium Ion" is a graphical depiction of this process.

Chemical illustration: Figure 3.1 The Formation of a Sodium Ion

Figure 3.1 The Formation of a Sodium Ion

On the left, a sodium atom has 11 electrons. On the right, the sodium ion only has 10 electrons and a 1+ charge.

A chlorine atom has the following electron configuration:

Cl: 1s22s22p63s23p5

Only one more electron is needed to achieve an octet in chlorine’s valence shell. (In table salt, this electron comes from the sodium atom.) The electron configuration of the new species that results is as follows:

Chemical illustration: Only one more electron is needed to achieve an octet in chlorine’s valence shell. (In table salt, this electron comes from the sodium atom.) The electron configuration of the new species that results is as follows:

In this case, the ion has the same outermost shell as the original atom, but now that shell has eight electrons in it. Once again, the octet rule has been satisfied. The resulting anion, Cl−, is called the chloride ion; note the slight change in the suffix (-ide instead of -ine) to create the name of this anion. Figure 3.2 "The Formation of a Chlorine Ion" is a graphical depiction of this process.

Chemical illustration: Figure 3.2 The Formation of a Chlorine Ion

Figure 3.2 The Formation of a Chlorine Ion

On the left, the chlorine atom has 17 electrons. On the right, the chloride ion has 18 electrons and has a 1− charge.

With two oppositely charged ions, there is an electrostatic attraction between them because opposite charges attract. The resulting combination is the compound sodium chloride. Notice that there are no leftover electrons. The number of electrons lost by the sodium atom (one) equals the number of electrons gained by the chlorine atom (one), so the compound is electrically neutral. In macroscopic samples of sodium chloride, there are billions and billions of sodium and chloride ions, although there is always the same number of cations and anions.

In many cases, elements that belong to the same group (vertical column) on the periodic table form ions with the same charge because they have the same number of valence electrons. Thus, the periodic table becomes a tool for remembering the charges on many ions. For example, all ions made from alkali metals, the first column on the periodic table, have a 1+ charge. Ions made from alkaline earth metals, the second group on the periodic table, have a 2+ charge. On the other side of the periodic table, the next-to-last column, the halogens, form ions having a 1− charge. Figure 3.3 "Predicting Ionic Charges" shows how the charge on many ions can be predicted by the location of an element on the periodic table. Note the convention of first writing the number and then the sign on a multiply charged ion. The barium cation is written Ba2+, not Ba+2.

Chemical illustration: Figure 3.3 Predicting Ionic Charges

Figure 3.3 Predicting Ionic Charges

The charge that an atom acquires when it becomes an ion is related to the structure of the periodic table. Within a group (family) of elements, atoms form ions of a certain charge.

Lewis Diagrams

Chemists use simple diagrams to show an atom’s valence electrons and how they transfer. These diagrams have two advantages over the electron shell diagrams introduced in Chapter 2 "Elements, Atoms, and the Periodic Table". First, they show only valence electrons. Second, instead of having a circle around the chemical symbol to represent the electron shell, they have up to eight dots around the symbol; each dot represents a valence electron. These dots are arranged to the right and left and above and below the symbol, with no more than two dots on a side. For example, the representation for sodium is as follows:

Chemical illustration: Chemists use simple diagrams to show an atom’s valence electrons and how they transfer. These diagrams have two advantages over the electron shell diagrams introduced in Chapter 2 "Elements, Atoms, and the Periodic Table" . First, they show only valence electrons. Second, instead of having a circle around the chemical symbol to represent the electr

and the representation for chlorine is as follows:

Chemical illustration: and the representation for chlorine is as follows:

These diagrams are called Lewis electron dot diagrams, or simply Lewis diagrams[8], after Gilbert N. Lewis, the American chemist who introduced them. Figure 3.4 "Lewis Diagrams of the Elements Lithium through Neon" shows the electron configurations and Lewis diagrams of the elements lithium through neon, which is the entire second period of the periodic table. For the main group elements, the number of valence electrons is the same as the group number listed at the top of the periodic table.

Chemical illustration: Figure 3.4 Lewis Diagrams of the Elements Lithium through Neon

Figure 3.4 Lewis Diagrams of the Elements Lithium through Neon

The transfer of electrons can be illustrated easily with Lewis diagrams:

Chemical illustration: The transfer of electrons can be illustrated easily with Lewis diagrams:

In representing the final formula, the dots are omitted.

Example 2

Starting with lithium and bromine atoms, use Lewis diagrams to show the formation of the ionic compound LiBr.

Solution

From the periodic table, we see that lithium is in the same column as sodium, so it will have the same valence shell electron configuration. That means that the neutral lithium atom will have the same Lewis diagram that the sodium atom has. Similarly, bromine is in the same column as chlorine, so it will have the same Lewis diagram that chlorine has. Therefore,

Chemical illustration: From the periodic table, we see that lithium is in the same column as sodium, so it will have the same valence shell electron configuration. That means that the neutral lithium atom will have the same Lewis diagram that the sodium atom has. Similarly, bromine is in the same column as chlorine, so it will have the same Lewis diagram that chlorine ha

Skill-Building Exercise

  1. Starting with magnesium and oxygen atoms, use Lewis diagrams to show the formation of the ionic compound MgO.

Some ionic compounds have different numbers of cations and anions. In those cases, electron transfer occurs between more than one atom. For example, here is the formation of MgBr2:

Chemical illustration: Some ionic compounds have different numbers of cations and anions. In those cases, electron transfer occurs between more than one atom. For example, here is the formation of MgBr 2 :

Most of the elements that make ionic compounds form an ion that has a characteristic charge. For example, sodium makes ionic compounds in which the sodium ion always has a 1+ charge. Chlorine makes ionic compounds in which the chloride ion always has a 1− charge. Some elements, especially transition metals, can form ions of multiple charges. Figure 3.5 "Charges of the Monatomic Ions" shows the characteristic charges for some of these ions. As we saw in Figure 3.1 "The Formation of a Sodium Ion", there is a pattern to the charges on many of the main group ions, but there is no simple pattern for transition metal ions (or for the larger main group elements).

Chemical illustration: Figure 3.5 Charges of the Monatomic Ions

Figure 3.5 Charges of the Monatomic Ions

Note that some atoms commonly form ions of different charges.

Concept Review Exercises

  1. What are the two types of ions?

  2. Use Lewis diagrams to illustrate the formation of an ionic compound from a potassium atom and an iodine atom.

  3. When the following atoms become ions, what charges do they acquire?

    1. Li

    2. S

    3. Ca

    4. F

Answers

  1. Cations have positive charges, and anions have negative charges.

  2. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
    1. 1+

    2. 2−

    3. 2+

    4. 1−

Exercises

  1. Identify each as a cation, an anion, or neither.

    1. H+

    2. Cl−

    3. O2

    4. Ba2+

    5. CH4

    6. CS2

  2. Identify each as a cation, an anion, or neither.

    1. NH3

    2. Br−

    3. H−

    4. Hg2+

    5. CCl4

    6. SO3

  3. Write the electron configuration for each ion.

    1. Li+

    2. Mg2+

    3. F−

    4. S2−

  4. Write the electron configuration for each ion.

    1. Na+

    2. Be2+

    3. Cl−

    4. O2−

  5. Draw Lewis diagrams for the ions listed in Exercise 3. Also include Lewis diagrams for the respective neutral atoms as a comparison.

  6. Draw Lewis diagrams for the ions listed in Exercise 4. Also include Lewis diagrams for the respective neutral atoms as a comparison.

  7. Using Lewis diagrams, show the electron transfer for the formation of LiF.

  8. Using Lewis diagrams, show the electron transfer for the formation of MgO.

  9. Using Lewis diagrams, show the electron transfer for the formation of Li2O.

  10. Using Lewis diagrams, show the electron transfer for the formation of CaF2.

  11. What characteristic charge do atoms in the first column of the periodic table have when they become ions?

  12. What characteristic charge do atoms in the second column of the periodic table have when they become ions?

  13. What characteristic charge do atoms in the third-to-last column of the periodic table have when they become ions?

  14. What characteristic charge do atoms in the next-to-last column of the periodic table have when they become ions?

Answers

    1. cation

    2. anion

    3. neither

    4. cation

    5. neither

    6. neither

    1. 1s2

    2. 1s22s22p6

    3. 1s22s22p6

    4. 1s22s22p63s23p6

    1. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
    2. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
    3. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
    4. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
  1. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
  2. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
  3. 1+

  4. 2−

3.3 Formulas for Ionic Compounds

We have already encountered some chemical formulas for simple ionic compounds. A chemical formula[9] is a concise list of the elements in a compound and the ratios of these elements. To better understand what a chemical formula means, we must consider how an ionic compound is constructed from its ions.

Ionic compounds exist as alternating positive and negative ions in regular, three-dimensional arrays called crystals[10] (Figure 3.6 "A Sodium Chloride Crystal"). As you can see, there are no individual NaCl “particles” in the array; instead, there is a continuous lattice of alternating sodium and chloride ions. However, we can use the ratio of sodium ions to chloride ions, expressed in the lowest possible whole numbers, as a way of describing the compound. In the case of sodium chloride, the ratio of sodium ions to chloride ions, expressed in lowest whole numbers, is 1:1, so we use NaCl (one Na symbol and one Cl symbol) to represent the compound. Thus, NaCl is the chemical formula for sodium chloride, which is a concise way of describing the relative number of different ions in the compound. A macroscopic sample is composed of myriads of NaCl pairs; each pair is called a formula unit[11]. Although it is convenient to think that NaCl crystals are composed of individual NaCl units, Figure 3.6 "A Sodium Chloride Crystal" shows that no single ion is exclusively associated with any other single ion. Each ion is surrounded by ions of opposite charge.

Chemical illustration: Figure 3.6 A Sodium Chloride Crystal

Figure 3.6 A Sodium Chloride Crystal

A crystal contains a three-dimensional array of alternating positive and negative ions. The precise pattern depends on the compound. A crystal of sodium chloride, shown here, is a collection of alternating sodium and chlorine ions.

The formula for an ionic compound follows several conventions. First, the cation is written before the anion. Because most metals form cations and most nonmetals form anions, formulas typically list the metal first and then the nonmetal. Second, charges are not written in a formula. Remember that in an ionic compound, the component species are ions, not neutral atoms, even though the formula does not contain charges. Finally, the proper formula for an ionic compound always obeys the following rule: the total positive charge must equal the total negative charge. To determine the proper formula of any combination of ions, determine how many of each ion is needed to balance the total positive and negative charges in the compound.

If we look at the ionic compound consisting of lithium ions and bromide ions, we see that the lithium ion has a 1+ charge and the bromide ion has a 1− charge. Only one ion of each is needed to balance these charges. The formula for lithium bromide is LiBr.

When an ionic compound is formed from magnesium and oxygen, the magnesium ion has a 2+ charge, and the oxygen ion has a 2− charge. Although both of these ions have higher charges than the ions in lithium bromide, they still balance each other in a one-to-one ratio. Therefore, the proper formula for this ionic compound is MgO.

Now consider the ionic compound formed by magnesium and chlorine. A magnesium ion has a 2+ charge, while a chlorine ion has a 1− charge:

Mg2+ Cl−

Combining one ion of each does not completely balance the positive and negative charges. The easiest way to balance these charges is to assume the presence of two chloride ions for each magnesium ion:

Mg2+ Cl− Cl−

Now the positive and negative charges are balanced. We could write the chemical formula for this ionic compound as MgClCl, but the convention is to use a numerical subscript when there is more than one ion of a given type---MgCl2. This chemical formula says that there are one magnesium ion and two chloride ions in this formula. (Do not read the “Cl2” part of the formula as a molecule of the diatomic elemental chlorine. Chlorine does not exist as a diatomic element in this compound. Rather, it exists as two individual chloride ions.) By convention, the lowest whole number ratio is used in the formulas of ionic compounds. The formula Mg2Cl4 has balanced charges with the ions in a 1:2 ratio, but it is not the lowest whole number ratio.

Example 3

Write the chemical formula for an ionic compound composed of each pair of ions.

  1. the sodium ion and the sulfur ion

  2. the aluminum ion and the fluoride ion

  3. the 3+ iron ion and the oxygen ion

Solution

  1. To obtain a valence shell octet, sodium forms an ion with a 1+ charge, while the sulfur ion has a 2− charge. Two sodium 1+ ions are needed to balance the 2− charge on the sulfur ion. Rather than writing the formula as NaNaS, we shorten it by convention to Na2S.

  2. The aluminum ion has a 3+ charge, while the fluoride ion formed by fluorine has a 1− charge. Three fluorine 1− ions are needed to balance the 3+ charge on the aluminum ion. This combination is written as AlF3.

  3. Iron can form two possible ions, but the ion with a 3+ charge is specified here. The oxygen atom has a 2− charge as an ion. To balance the positive and negative charges, we look to the least common multiple---6: two iron 3+ ions will give 6+, while three 2− oxygen ions will give 6−, thereby balancing the overall positive and negative charges. Thus, the formula for this ionic compound is Fe2O3.

Skill-Building Exercise

Write the chemical formula for an ionic compound composed of each pair of ions.

  1. the calcium ion and the oxygen ion

  2. the 2+ copper ion and the sulfur ion

  3. the 1+ copper ion and the sulfur ion

Polyatomic Ions

Some ions consist of groups of atoms bonded together and have an overall electric charge. Because these ions contain more than one atom, they are called polyatomic ions[12]. Polyatomic ions have characteristic formulas, names, and charges that should be memorized. For example, NO3− is the nitrate ion; it has one nitrogen atom and three oxygen atoms and an overall 1− charge. Table 3.1 "Some Polyatomic Ions" lists the most common polyatomic ions.

Table 3.1 Some Polyatomic Ions

Name

Formula

ammonium ion

NH4+

acetate ion

C2H3O2− (also written CH3CO2−)

carbonate ion

CO32−

chromate ion

CrO42−

dichromate ion

Cr2O72−

hydrogen carbonate ion (bicarbonate ion)

HCO3−

cyanide ion

CN−

hydroxide ion

OH−

nitrate ion

NO3−

nitrite ion

NO2−

permanganate ion

MnO4−

phosphate ion

PO43−

hydrogen phosphate ion

HPO42−

dihydrogen phosphate ion

H2PO4−

sulfate ion

SO42−

hydrogen sulfate ion (bisulfate ion)

HSO4−

sulfite ion

SO32−

The rule for constructing formulas for ionic compounds containing polyatomic ions is the same as for formulas containing monatomic (single-atom) ions: the positive and negative charges must balance. If more than one of a particular polyatomic ion is needed to balance the charge, the entire formula for the polyatomic ion must be enclosed in parentheses, and the numerical subscript is placed outside the parentheses. This is to show that the subscript applies to the entire polyatomic ion. An example is Ba(NO3)2.

Example 4

Write the chemical formula for an ionic compound composed of each pair of ions.

  1. the potassium ion and the sulfate ion

  2. the calcium ion and the nitrate ion

Solution

  1. Potassium ions have a charge of 1+, while sulfate ions have a charge of 2−. We will need two potassium ions to balance the charge on the sulfate ion, so the proper chemical formula is K2SO4.

  2. Calcium ions have a charge of 2+, while nitrate ions have a charge of 1−. We will need two nitrate ions to balance the charge on each calcium ion. The formula for nitrate must be enclosed in parentheses. Thus, we write Ca(NO3)2 as the formula for this ionic compound.

Skill-Building Exercise

Write the chemical formula for an ionic compound composed of each pair of ions.

  1. the magnesium ion and the carbonate ion

  2. the aluminum ion and the acetate ion

Recognizing Ionic Compounds

There are two ways to recognize ionic compounds. First, compounds between metal and nonmetal elements are usually ionic. For example, CaBr2 contains a metallic element (calcium, a group 2A metal) and a nonmetallic element (bromine, a group 7A nonmetal). Therefore, it is most likely an ionic compound. (In fact, it is ionic.) In contrast, the compound NO2 contains two elements that are both nonmetals (nitrogen, from group 5A, and oxygen, from group 6A). It is not an ionic compound; it belongs to the category of covalent compounds that we will study in Chapter 4 "Covalent Bonding and Simple Molecular Compounds". Also note that this combination of nitrogen and oxygen has no electric charge specified, so it is not the nitrite ion.

Second, if you recognize the formula of a polyatomic ion in a compound, the compound is ionic. For example, if you see the formula Ba(NO3)2, you may recognize the “NO3” part as the nitrate ion, NO3−. (Remember that the convention for writing formulas for ionic compounds is not to include the ionic charge.) This is a clue that the other part of the formula, Ba, is actually the Ba2+ ion, with the 2+ charge balancing the overall 2− charge from the two nitrate ions. Thus, this compound is also ionic.

Example 5

Identify each compound as ionic or not ionic.

  1. Na2O

  2. PCl3

  3. NH4Cl

  4. OF2

Solution

  1. Sodium is a metal, and oxygen is a nonmetal; therefore, Na2O is expected to be ionic.

  2. Both phosphorus and chlorine are nonmetals. Therefore, PCl3 is not ionic.

  3. The NH4 in the formula represents the ammonium ion, NH4+, which indicates that this compound is ionic.

  4. Both oxygen and fluorine are nonmetals. Therefore, OF2 is not ionic.

Skill-Building Exercise

Identify each compound as ionic or not ionic.

  1. N2O

  2. FeCl3

  3. (NH4)3PO4

  4. SOCl2

Concept Review Exercises

  1. What information is contained in the formula of an ionic compound?

  2. Why do the chemical formulas for some ionic compounds contain subscripts, while others do not?

  3. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Mg2+ and I−

    2. Na+ and O2−

Answers

  1. the ratio of each kind of ion in the compound

  2. Sometimes more than one ion is needed to balance the charge on the other ion in an ionic compound.

    1. MgI2

    2. Na2O

Exercises

  1. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Na+ and Br−

    2. Mg2+ and Br−

    3. Mg2+ and S2−

  2. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. K+ and Cl−

    2. Mg2+ and Cl−

    3. Mg2+ and Se2−

  3. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Na+ and N3−

    2. Mg2+ and N3−

    3. Al3+ and S2−

  4. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Li+ and N3−

    2. Mg2+ and P3−

    3. Li+ and P3−

  5. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Fe3+ and Br−

    2. Fe2+ and Br−

    3. Au3+ and S2−

    4. Au+ and S2−

  6. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Cr3+ and O2−

    2. Cr2+ and O2−

    3. Pb2+ and Cl−

    4. Pb4+ and Cl−

  7. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. Cr3+ and NO3−

    2. Fe2+ and PO43−

    3. Ca2+ and CrO42−

    4. Al3+ and OH−

  8. Write the chemical formula for the ionic compound formed by each pair of ions.

    1. NH4+ and NO3−

    2. H+ and Cr2O72−

    3. Cu+ and CO32−

    4. Na+ and HCO3−

  9. For each pair of elements, determine the charge for their ions and write the proper formula for the resulting ionic compound between them.

    1. Ba and S

    2. Cs and I

  10. For each pair of elements, determine the charge for their ions and write the proper formula for the resulting ionic compound between them.

    1. K and S

    2. Sc and Br

  11. Which compounds would you predict to be ionic?

    1. Li2O

    2. (NH4)2O

    3. CO2

    4. FeSO3

    5. C6H6

    6. C2H6O

  12. Which compounds would you predict to be ionic?

    1. Ba(OH)2

    2. CH2O

    3. NH2CONH2

    4. (NH4)2CrO4

    5. C8H18

    6. NH3

Answers

    1. NaBr

    2. MgBr2

    3. MgS

    1. Na3N

    2. Mg3N2

    3. Al2S3

    1. FeBr3

    2. FeBr2

    3. Au2S3

    4. Au2S

    1. Cr(NO3)3

    2. Fe3 (PO4)2

    3. CaCrO4

    4. Al(OH)3

    1. Ba2+, S2−, BaS

    2. Cs+, I−, CsI

    1. ionic

    2. ionic

    3. not ionic

    4. ionic

    5. not ionic

    6. not ionic

3.4 Ionic Nomenclature

After learning a few more details about the names of individual ions, you will be a step away from knowing how to name ionic compounds. This section begins the formal study of nomenclature[13], the systematic naming of chemical compounds.

Naming Ions

The name of a monatomic cation is simply the name of the element followed by the word ion. Thus, Na+ is the sodium ion, Al3+ is the aluminum ion, Ca2+ is the calcium ion, and so forth.

We have seen that some elements lose different numbers of electrons, producing ions of different charges (Figure 3.3 "Predicting Ionic Charges"). Iron, for example, can form two cations, each of which, when combined with the same anion, makes a different compound with unique physical and chemical properties. Thus, we need a different name for each iron ion to distinguish Fe2+ from Fe3+. The same issue arises for other ions with more than one possible charge.

There are two ways to make this distinction. In the simpler, more modern approach, called the Stock system[14], an ion’s positive charge is indicated by a roman numeral in parentheses after the element name, followed by the word ion. Thus, Fe2+ is called the iron(II) ion, while Fe3+ is called the iron(III) ion. This system is used only for elements that form more than one common positive ion. We do not call the Na+ ion the sodium(I) ion because (I) is unnecessary. Sodium forms only a 1+ ion, so there is no ambiguity about the name sodium ion.

The second system, called the common system, is not conventional but is still prevalent and used in the health sciences. This system recognizes that many metals have two common cations. The common system uses two suffixes (-ic and -ous) that are appended to the stem of the element name. The -ic suffix represents the greater of the two cation charges, and the -ous suffix represents the lower one. In many cases, the stem of the element name comes from the Latin name of the element. Table 3.2 "The Common System of Cation Names" lists the elements that use the common system, along with their respective cation names.

Table 3.2 The Common System of Cation Names

Element

Stem

Charge

Name

iron

ferr-

2+

ferrous ion

iron

ferr-

3+

ferric ion

copper

cupr-

1+

cuprous ion

copper

cupr-

2+

cupric ion

tin

stann-

2+

stannous ion

tin

stann-

4+

stannic ion

lead

plumb-

2+

plumbous ion

lead

plumb-

4+

plumbic ion

chromium

chrom-

2+

chromous ion

chromium

chrom-

3+

chromic ion

gold

aur-

1+

aurous ion

gold

aur-

3+

auric ion

The name of a monatomic anion consists of the stem of the element name, the suffix -ide, and then the word ion. Thus, as we have already seen, Cl− is “chlor-” + “-ide ion,” or the chloride ion. Similarly, O2− is the oxide ion, Se2− is the selenide ion, and so forth. Table 3.3 "Some Monatomic Anions" lists the names of some common monatomic ions.

Table 3.3 Some Monatomic Anions

Ion

Name

F−

fluoride ion

Cl−

chloride ion

Br−

bromide ion

I−

iodide ion

O2−

oxide ion

S2−

sulfide ion

P3−

phosphide ion

N3−

nitride ion

The polyatomic ions have their own characteristic names, as we saw in Table 3.1 "Some Polyatomic Ions".

Example 6

Name each ion.

  1. Ca2+

  2. S2−

  3. SO32−

  4. NH4+

  5. Cu+

Solution

  1. the calcium ion

  2. the sulfide ion (from Table 3.3 "Some Monatomic Anions")

  3. the sulfite ion (from Table 3.1 "Some Polyatomic Ions")

  4. the ammonium ion (from Table 3.1 "Some Polyatomic Ions")

  5. the copper(I) ion or the cuprous ion (Figure 3.5 "Charges of the Monatomic Ions" shows that copper can form cations with either a 1+ or 2+ charge, so we have to specify which charge this ion has)

Skill-Building Exercise

Name each ion.

  1. Fe2+

  2. Fe3+

  3. SO42−

  4. Ba2+

  5. HCO3−

Example 7

Write the formula for each ion.

  1. the bromide ion

  2. the phosphate ion

  3. the cupric ion

  4. the magnesium ion

Solution

  1. Br−

  2. PO43−

  3. Cu2+

  4. Mg2+

Skill-Building Exercise

Write the formula for each ion.

  1. the fluoride ion

  2. the carbonate ion

  3. the stannous ion

  4. the potassium ion

Naming Compounds

Now that we know how to name ions, we are ready to name ionic compounds. We do so by placing the name of the cation first, followed by the name of the anion, and dropping the word ion from both parts.

For example, what is the name of the compound whose formula is Ba(NO3)2?

Chemical illustration: For example, what is the name of the compound whose formula is Ba(NO 3 ) 2 ?

The compound’s name does not indicate that there are two nitrate ions for every barium ion. You must determine the relative numbers of ions by balancing the positive and negative charges.

If you are given a formula for an ionic compound whose cation can have more than one possible charge, you must first determine the charge on the cation before identifying its correct name. For example, consider FeCl2 and FeCl3. In the first compound, the iron ion has a 2+ charge because there are two Cl− ions in the formula (1− charge on each chloride ion). In the second compound, the iron ion has a 3+ charge, as indicated by the three Cl− ions in the formula. These are two different compounds that need two different names. By the Stock system, the names are iron(II) chloride and iron(III) chloride. If we were to use the stems and suffixes of the common system, the names would be ferrous chloride and ferric chloride, respectively.

Example 8

Name each ionic compound, using both Stock and common systems if necessary.

  1. Ca3(PO4)2

  2. (NH4)2Cr2O7

  3. KCl

  4. CuCl

  5. SnF2

Solution

  1. calcium phosphate

  2. ammonium dichromate (the prefix di- is part of the name of the anion, as in Table 3.1 "Some Polyatomic Ions")

  3. potassium chloride

  4. copper(I) chloride or cuprous chloride

  5. tin(II) fluoride or stannous fluoride

Skill-Building Exercise

Name each ionic compound, using both Stock and common systems if necessary.

  1. ZnBr2

  2. Fe(NO3)3

  3. Al2O3

  4. AuF3

  5. AgF

Figure 3.7 "A Guide to Naming Simple Ionic Compounds" is a synopsis of how to name simple ionic compounds.

Chemical illustration: Figure 3.7 A Guide to Naming Simple Ionic Compounds

Figure 3.7 A Guide to Naming Simple Ionic Compounds

Follow these steps to name a simple ionic compound.

Concept Review Exercises

  1. Briefly describe the process for naming an ionic compound.

  2. In what order do the names of ions appear in the names of ionic compounds?

  3. Which ionic compounds can be named using two different systems? Give an example.

Answers

  1. Name the cation and then the anion but don’t use numerical prefixes.

  2. the cation name followed by the anion name

  3. Ionic compounds in which the cation can have more than one possible charge have two naming systems. FeCl3 is either iron(III) chloride or ferric chloride (answers will vary).

Exercises

  1. Name each ion.

    1. Ra2+

    2. P3−

    3. H2PO4−

    4. Sn4+

  2. Name each ion.

    1. Cs+

    2. As3−

    3. HSO4−

    4. Sn2+

  3. Name the ionic compound formed by each pair of ions.

    1. Na+ and Br−

    2. Mg2+ and Br−

    3. Mg2+ and S2−

  4. Name the ionic compound formed by each pair of ions.

    1. K+ and Cl−

    2. Mg2+ and Cl−

    3. Mg2+ and Se2−

  5. Name the ionic compound formed by each pair of ions.

    1. Na+ and N3−

    2. Mg2+ and N3−

    3. Al3+ and S2−

  6. Name the ionic compound formed by each pair of ions.

    1. Li+ and N3−

    2. Mg2+ and P3−

    3. Li+ and P3−

  7. Name the ionic compound formed by each pair of ions. Use both the Stock and common systems, where appropriate.

    1. Fe3+ and Br−

    2. Fe2+ and Br−

    3. Au3+ and S2−

    4. Au+ and S2−

  8. Name the ionic compound formed by each pair of ions. Use both the Stock and common systems, where appropriate.

    1. Cr3+ and O2−

    2. Cr2+ and O2−

    3. Pb2+ and Cl−

    4. Pb4+ and Cl−

  9. Name the ionic compound formed by each pair of ions. Use both the Stock and common systems, where appropriate.

    1. Cr3+ and NO3−

    2. Fe2+ and PO43−

    3. Ca2+ and CrO42−

    4. Al3+ and OH−

  10. Name the ionic compound formed by each pair of ions. Use both the Stock and common systems, where appropriate.

    1. NH4+ and NO3−

    2. H+ and Cr2O72−

    3. Cu+ and CO32−

    4. Na+ and HCO3−

  11. Give two names for each compound.

    1. Al(HSO4)3

    2. Mg(HSO4)2

  12. Give two names for each compound.

    1. Co(HCO3)2

    2. LiHCO3

Answers

    1. the radium ion

    2. the phosphide ion

    3. the dihydrogen phosphate ion

    4. the tin(IV) ion or the stannic ion

    1. sodium bromide

    2. magnesium bromide

    3. magnesium sulfide

    1. sodium nitride

    2. magnesium nitride

    3. aluminum sulfide

    1. iron(III) bromide or ferric bromide

    2. iron(II) bromide or ferrous bromide

    3. gold(III) sulfide or auric sulfide

    4. gold(I) sulfide or aurous sulfide

    1. chromium(III) nitrate or chromic nitrate

    2. iron(II) phosphate or ferrous phosphate

    3. calcium chromate

    4. aluminum hydroxide

    1. aluminum hydrogen sulfate or aluminum bisulfate

    2. magnesium hydrogen sulfate or magnesium bisulfate

3.5 Formula Mass

One skill needed in future chapters is the ability to determine the mass of the formula of an ionic compound. This quantity is called the formula mass[15]. The formula mass is obtained by adding the masses of each individual atom in the formula of the compound. Because a proper formula is electrically neutral (with no net electrons gained or lost), the ions can be considered atoms for the purpose of calculating the formula mass.

Let us start by calculating the formula mass of sodium chloride (NaCl). This formula mass is the sum of the atomic masses of one sodium atom and one chlorine atom, which we find from the periodic table; here, we use the masses to two decimal places:

Na:

22.99 u

Cl:

+ 35.45 u

Total:

58.44 u

To two decimal places, the formula mass of NaCl is 58.44 u.

When an ionic compound has more than one anion or cation, you must remember to use the proper multiple of the atomic mass for the element in question. For the formula mass of calcium fluoride (CaF2), we must multiply the mass of the fluorine atom by 2 to account for the two fluorine atoms in the chemical formula:

Ca:

1 × 40.08

40.08 u

F:

2 × 19.00 =

+ 38.00 u

Total:

78.08 u

The formula mass of CaF2 is 78.08 u.

For ionic compounds with polyatomic ions, the sum must include the number and mass of each atom in the formula for the polyatomic ion. For example, potassium nitrate (KNO3) has one potassium atom, one nitrogen atom, and three oxygen atoms:

K:

1 × 39.10

39.10 u

N:

1 × 14.00

+ 14.00 u

O:

3 × 16.00 =

+ 48.00 u

Total:

101.10 u

The formula mass of KNO3 is 101.10 u.

When a formula contains more than one polyatomic unit in the chemical formula, as in Ca(NO3)2, don’t forget to multiply the atomic mass of every atom inside the parentheses by the subscript outside the parentheses. This is necessary because the subscript refers to the entire polyatomic ion. Thus, for Ca(NO3)2, the subscript 2 implies two complete nitrate ions, so we must sum the masses of two (1 × 2) nitrogen atoms and six (3 × 2) oxygen atoms, along with the mass of a single calcium atom:

Ca:

1 × 40.08

40.08 u

N:

2 × 14.00 =

+ 28.00 u

O:

6 × 16.00 =

+ 96.00 u

Total:

164.08 u

The key to calculating the formula mass of an ionic compound is to correctly count each atom in the formula and multiply the atomic masses of its atoms accordingly.

Example 9

Use the atomic masses (rounded to two decimal places) from the inside cover of this book to determine the formula mass for each ionic compound.

  1. FeCl3

  2. (NH4)3PO4

Solution

  1. Fe:

    55.85 u

    Cl:

    3 × 35.45 =

    + 106.35 u

    Total:

    162.20 u

    The formula mass of FeCl3 is 162.20 u.

  2. When we distribute the subscript 3 through the parentheses containing the formula for the ammonium ion, we see that we have 3 nitrogen atoms and 12 hydrogen atoms. Thus, we set up the sum as follows:

    N:

    3 × 14.00 =

    42.00 u

    H:

    12 × 1.00 =

    + 12.00 u

    P:

    + 30.97 u

    O:

    4 × 16.00 =

    + 64.00 u

    Total:

    148.97 u

    The formula mass for (NH4)3PO4 is 148.97 u.

Skill-Building Exercise

Use the atomic masses (rounded to two decimal places) from the inside cover of this book to determine the formula mass for each ionic compound.

  1. TiO2

  2. AgBr

  3. Au(NO3)3

  4. Fe3(PO4)2

Table 3.4 Names and Formulas of Some Widely Used Hydrates

Formula

Name

Uses

AlCl3·6H2O

aluminum chloride hexahydrate

antiperspirant

CaSO4·½H2O

calcium sulfate hemihydrate (plaster of Paris)

casts (for broken bones and castings)

CaSO4·2H2O

calcium sulfate dihydrate (gypsum)

drywall component

CoCl2·6H2O

cobalt(II) chloride hexahydrate

drying agent, humidity indicator

CuSO4·5H2O

copper(II) sulfate pentahydrate

fungicide, algicide, herbicide

MgSO4·7H2O

magnesium sulfate heptahydrate (Epsom salts)

laxative, bathing salt

Na2CO3·10H2O

sodium carbonate decahydrate (washing soda)

laundry additive/cleaner

Concept Review Exercises

  1. What is the relationship between atomic mass and formula mass?

  2. How are subscripts used to determine a formula mass when more than one polyatomic ion is present in a chemical formula?

Answers

  1. The formula mass is the sum of the atomic masses of the atoms in the formula.

  2. The subscript is distributed throughout the parentheses to determine the total number of atoms in the formula.

Exercises

  1. What is the formula mass for the ionic compound formed by each pair of ions?

    1. Na+ and Br−

    2. Mg2+ and Br−

    3. Mg2+ and S2−

  2. What is the formula mass for the ionic compound formed by each pair of ions?

    1. K+ and Cl−

    2. Mg2+ and Cl−

    3. Mg2+ and Se2−

  3. What is the formula mass for the ionic compound formed by each pair of ions?

    1. Na+ and N3−

    2. Mg2+ and N3−

    3. Al3+ and S2−

  4. What is the formula mass for the ionic compound formed by each pair of ions?

    1. Li+ and N3−

    2. Mg2+ and P3−

    3. Li+ and P3−

  5. What is the formula mass for each compound?

    1. FeBr3

    2. FeBr2

    3. Au2S3

    4. Au2S

  6. What is the formula mass for each compound?

    1. Cr2O3

    2. CrO

    3. PbCl2

    4. PbCl4

  7. What is the formula mass for each compound?

    1. Cr(NO3)3

    2. Fe3(PO4)2

    3. CaCrO4

    4. Al(OH)3

  8. What is the formula mass for each compound?

    1. NH4NO3

    2. H2Cr2O7

    3. Cu2CO3

    4. NaHCO3

  9. What is the formula mass for each compound?

    1. Al(HSO4)3

    2. Mg(HSO4)2

  10. What is the formula mass for each compound?

    1. Co(HCO3)2

    2. LiHCO3

Answers

    1. 102.90 u

    2. 184.11 u

    3. 56.38 u

    1. 83.00 u

    2. 100.93 u

    3. 150.17 u

    1. 295.50 u

    2. 215.60 u

    3. 490.30 u

    4. 426.10 u

    1. 238.00 u

    2. 357.49 u

    3. 156.08 u

    4. 78.01 u

    1. 318.22 u

    2. 218.47 u

3.6 End-of-Chapter Material

Additional Exercises

  1. What number shell is the valence electron shell of a sodium atom? What number shell is the valence shell of a sodium ion? Explain the difference.

  2. What number shell is the valence electron shell of a bromine atom? What number shell is the valence shell of a bromide ion? Explain the difference between these answers and the answers to Exercise 1.

  3. What is the electron configuration of each ion?

    1. K+

    2. Mg2+

    3. F−

    4. S2−

  4. What is the electron configuration of each ion?

    1. Li+

    2. Ca2+

    3. Cl−

    4. O2−

    1. If a sodium atom were to lose two electrons, what would be the electron configuration of the resulting cation?

    2. Considering that electron shells are typically separated by large amounts of energy, use your answer to Exercise 5a to suggest why sodium atoms do not form a 2+ cation.

    1. If a chlorine atom were to gain two electrons, what would be the electron configuration of the resulting anion?

    2. Considering that electron shells are typically separated by large amounts of energy, use your answer to Exercise 6a to suggest why chlorine atoms do not form a 2− anion.

  5. Use Lewis diagrams and arrows to show the electron transfer that occurs during the formation of an ionic compound among Mg atoms and F atoms. (Hint: how many atoms of each will you need?)

  6. Use Lewis diagrams and arrows to show the electron transfer that occurs during the formation of an ionic compound among K atoms and O atoms. (Hint: how many atoms of each will you need?)

  7. Mercury forms two possible cations---Hg2+ and Hg22+, the second of which is actually a two-atom cation with a 2+ charge.

    1. Using common names, give the probable names of these ions.

    2. What are the chemical formulas of the ionic compounds these ions make with the oxide ion, O2−?

  8. The uranyl ion (UO22+) is a common water-soluble form of uranium. What is the chemical formula of the ionic compound uranyl nitrate? What is the chemical formula of the ionic compound uranyl phosphate?

  9. The formal chemical name of the mineral strengite is iron(III) phosphate dihydrate. What is the chemical formula of strengite? What is the formula mass of strengite?

  10. What is the formula mass of MgSO4·7H2O?

  11. What is the formula mass of CaSO4·½H2O?

  12. What mass do 20 formula units of NaCl have?

  13. What mass do 75 formula units of K2SO4 have?

  14. If an atomic mass unit equals 1.66 × 10−24 g, what is the mass in grams of one formula unit of NaCl?

  15. If an atomic mass unit equals 1.66 × 10−24 g, what is the mass in grams of 5.00 × 1022 formula units of NaOH?

  16. If an atomic mass unit equals 1.66 × 10−24 g, what is the mass in grams of 3.96 × 1023 formula units of (NH4)2SO4?

  17. Both tin and lead acquire 2+ or 4+ charges when they become ions. Use the periodic table to explain why this should not surprise you.

  18. Which ion would you expect to be larger in size---In3+ or Tl3+? Explain.

  19. Which ion would you expect to be smaller in size---I− or Br−? Explain.

  20. Which ion with a 2+ charge has the following electron configuration? 1s22s22p6

  21. Which ion with a 3− charge has the following electron configuration? 1s22s22p6

Answers

  1. For sodium, the valence shell is the third shell; for the sodium ion, the valence shell is the second shell because it has lost all its third shell electrons.

    1. 1s22s22p63s23p6

    2. 1s22s22p6

    3. 1s22s22p6

    4. 1s22s22p63s23p6

    1. 1s22s22p5

    2. It probably requires too much energy to form.

  2. Chemical illustration: Chapter 3: Ionic Bonding and Simple Ionic Compounds
    1. mercuric and mercurous, respectively

    2. HgO and Hg2O, respectively

  3. FePO4·2H2O; 186.86 u

  4. 145.16 u

  5. 13,070.25 u

  6. 3.32 g

  7. Both tin and lead have two p electrons and two s electrons in their valence shells.

  8. Br− because it is higher up on the periodic table

  9. N3−

Footnotes
  1. A very strong attraction between two atoms.

  2. The idea that atoms tend to have eight electrons in their valence shell.

  3. A charged atom.

  4. An attraction between oppositely charged ions.

  5. A compound formed with an ionic bond.

  6. A positively charged ion.

  7. A negatively charged ion.

  8. A representation that shows valence electrons as dots around the chemical symbol of an atom (also called Lewis electron dot diagrams).

  9. A concise list of the elements in a compound and the ratios of these elements.

  10. A three-dimensional array of alternating positive and negative ions.

  11. A set of oppositely charged ions that compose an ionic compound.

  12. An ion with more than one atom.

  13. The systematic naming of chemical compounds.

  14. The system of indicating a cation’s charge with roman numerals.

  15. The sum of the masses of the elements in the formula of an ionic compound.