2.3 Atomic Structure and Symbolism
Learning Objectives
By the end of this section, you will be able to:
- Write and interpret symbols that depict the atomic number, mass number, and charge of an atom or ion
- Define the atomic mass unit and average atomic mass
- Calculate average atomic mass and isotopic abundance
The development of modern atomic theory revealed much about the inner structure of atoms. It was learned that an atom contains a very small nucleus composed of positively charged protons and uncharged neutrons, surrounded by a much larger volume of space containing negatively charged electrons. The nucleus contains the majority of an atom’s mass because protons and neutrons are much heavier than electrons, whereas electrons occupy almost all of an atom’s volume. The diameter of an atom is on the order of 10−10 m, whereas the diameter of the nucleus is roughly 10−15 m—about 100,000 times smaller. For a perspective about their relative sizes, consider this: If the nucleus were the size of a blueberry, the atom would be about the size of a football stadium (Figure 2.10).
Atoms—and the protons, neutrons, and electrons that compose them—are extremely small. For example, a carbon atom weighs less than 2 × 10−23 g, and an electron has a charge of less than 2 × 10−19 C (coulomb). When describing the properties of tiny objects such as atoms, we use appropriately small units of measure, such as the atomic mass unit (u) and the fundamental unit of charge (e). The u was originally defined based on hydrogen, the lightest element, then later in terms of oxygen. Since 1961, it has been defined with regard to the most abundant isotope of carbon, atoms of which are assigned masses of exactly 12 u. (This isotope is known as “carbon-12” as will be discussed later in this module.) Thus, one u is exactly 1/12 of the mass of one carbon-12 atom: 1 u = 1.6605 × 10−24 g. The fundamental unit of charge (also called the elementary charge) equals the magnitude of the charge of an electron (e) with e = 1.602 × 10−19 C.
A proton has a mass of 1.0073 u and a charge of 1+. A neutron is a slightly heavier particle with a mass 1.0087 u and a charge of zero; as its name suggests, it is neutral. The electron has a charge of 1− and is a much lighter particle with a mass of about 0.00055 u (it would take about 1800 electrons to equal the mass of one proton). The properties of these fundamental particles are summarized in Table 2.2.
| Properties of Subatomic Particles | |||||
|---|---|---|---|---|---|
| Name | Location | Charge (C) | Unit Charge | Mass (u) | Mass (g) |
| electron | outside nucleus | −1.602 × 10−19 | 1− | 0.00055 | 0.00091 × 10−24 |
| proton | nucleus | 1.602 ×10−19 | 1+ | 1.00727 | 1.67262 × 10−24 |
| neutron | nucleus | 0 | 0 | 1.00866 | 1.67493 × 10−24 |
Table 2.2
The number of protons in the nucleus of an atom is its atomic number (Z). This is the defining trait of an element: Its value determines the identity of the atom. For example, any atom that contains six protons is the element carbon and has the atomic number 6, regardless of how many neutrons or electrons it may have. A neutral atom must contain the same number of positive and negative charges, so the number of protons equals the number of electrons. Therefore, the atomic number also indicates the number of electrons in an atom. The total number of protons and neutrons in an atom is called its mass number (A). The number of neutrons is therefore the difference between the mass number and the atomic number: A – Z = number of neutrons.
Atoms are electrically neutral if they contain the same number of positively charged protons and negatively charged electrons. When the numbers of these subatomic particles are not equal, the atom is electrically charged and is called an ion. The charge of an atom is defined as follows:
atomic charge = number of protons − number of electrons
As will be discussed in more detail later in this chapter, atoms (and molecules) typically acquire charge by gaining or losing electrons. An atom that gains one or more electrons will exhibit a negative charge and is called an anion. Positively charged atoms called cations are formed when an atom loses one or more electrons. For example, a neutral sodium atom (Z = 11) has 11 electrons. If this atom loses one electron, it will become a cation with a 1+ charge (11 − 10 = 1+). A neutral oxygen atom (Z = 8) has eight electrons, and if it gains two electrons it will become an anion with a 2− charge (8 − 10 = 2−).
Chemical Symbols
A chemical symbol is an abbreviation that we use to indicate an element or an atom of an element. For example, the symbol for mercury is Hg (Figure 2.11). We use the same symbol to indicate one atom of mercury (microscopic domain) or to label a container of many atoms of the element mercury (macroscopic domain).
The symbols for several common elements and their atoms are listed in Table 2.3. Some symbols are derived from the common name of the element; others are abbreviations of the name in another language. Most symbols have one or two letters, but three-letter symbols have been used to describe some elements that have atomic numbers greater than 112. To avoid confusion with other notations, only the first letter of a symbol is capitalized. For example, Co is the symbol for the element cobalt, but CO is the notation for the compound carbon monoxide, which contains atoms of the elements carbon (C) and oxygen (O). All known elements and their symbols are in the periodic table (also found in Appendix A).
| Some Common Elements and Their Symbols | |||
|---|---|---|---|
| Element | Symbol | Element | Symbol |
| aluminum | Al | iron | Fe (from ferrum) |
| bromine | Br | lead | Pb (from plumbum) |
| calcium | Ca | magnesium | Mg |
| carbon | C | mercury | Hg (from hydrargyrum) |
| chlorine | Cl | nitrogen | N |
| chromium | Cr | oxygen | O |
| cobalt | Co | potassium | K (from kalium) |
| copper | Cu (from cuprum) | silicon | Si |
| fluorine | F | silver | Ag (from argentum) |
| gold | Au (from aurum) | sodium | Na (from natrium) |
| helium | He | sulfur | S |
| hydrogen | H | tin | Sn (from stannum) |
| iodine | I | zinc | Zn |
Table 2.3
Traditionally, the discoverer (or discoverers) of a new element names the element. However, until the name is recognized by the International Union of Pure and Applied Chemistry (IUPAC), the recommended name of the new element is based on the Latin word(s) for its atomic number. For example, element 106 was called unnilhexium (Unh), element 107 was called unnilseptium (Uns), and element 108 was called unniloctium (Uno) for several years. These elements are now named after scientists (or occasionally locations); for example, element 106 is now known as seaborgium (Sg) in honor of Glenn Seaborg, a Nobel Prize winner who was active in the discovery of several heavy elements.
Link to Learning
Isotopes
The symbol for a specific isotope of any element is written by placing the mass number as a superscript to the left of the element symbol (Figure 2.12). The atomic number is sometimes written as a subscript preceding the symbol, but since this number defines the element’s identity, as does its symbol, it is often omitted. For example, magnesium exists as a mixture of three isotopes, each with an atomic number of 12 and with mass numbers of 24, 25, and 26, respectively. These isotopes can be identified as 24Mg, 25Mg, and 26Mg. These isotope symbols are read as “element, mass number” and can be symbolized consistent with this reading. For instance, 24Mg is read as “magnesium 24,” and can be written as “magnesium-24” or “Mg-24.” 25Mg is read as “magnesium 25,” and can be written as “magnesium-25” or “Mg-25.” All magnesium atoms have 12 protons in their nucleus. They differ only because a 24Mg atom has 12 neutrons in its nucleus, a 25Mg atom has 13 neutrons, and a 26Mg has 14 neutrons.
Information about the naturally occurring isotopes of elements with atomic numbers 1 through 10 is given in Table 2.4 Note that in addition to standard names and symbols, the isotopes of hydrogen are often referred to using common names and accompanying symbols. Hydrogen-2, symbolized 2H, is also called deuterium. Hydrogen-3, symbolized 3H, is also called tritium.
| Nuclear Compositions of Atoms of the Very Light Elements | ||||||
|---|---|---|---|---|---|---|
| Element | Symbol | Atomic Number | Number of Protons | Number of Neutrons | Mass (u) | % Natural Abundance |
| hydrogen | 1H (protium) |
1 | 1 | 0 | 1.0078 | 99.989 |
| 2H (deuterium) |
1 | 1 | 1 | 2.0141 | 0.0115 | |
| 3H (tritium) |
1 | 1 | 2 | 3.01605 | — (trace) | |
| helium | 3He | 2 | 2 | 1 | 3.01603 | 0.00013 |
| 4He | 2 | 2 | 2 | 4.0026 | 100 | |
| lithium | 6Li | 3 | 3 | 3 | 6.0151 | 7.59 |
| 7Li | 3 | 3 | 4 | 7.0160 | 92.41 | |
| beryllium | 9Be | 4 | 4 | 5 | 9.0122 | 100 |
| boron | 10B | 5 | 5 | 5 | 10.0129 | 19.9 |
| 11B | 5 | 5 | 6 | 11.0093 | 80.1 | |
| carbon | 12C | 6 | 6 | 6 | 12.0000 | 98.89 |
| 13C | 6 | 6 | 7 | 13.0034 | 1.11 | |
| 14C | 6 | 6 | 8 | 14.0032 | — (trace) | |
| nitrogen | 14N | 7 | 7 | 7 | 14.0031 | 99.63 |
| 15N | 7 | 7 | 8 | 15.0001 | 0.37 | |
| oxygen | 16O | 8 | 8 | 8 | 15.9949 | 99.757 |
| 17O | 8 | 8 | 9 | 16.9991 | 0.038 | |
| 18O | 8 | 8 | 10 | 17.9992 | 0.205 | |
| fluorine | 19F | 9 | 9 | 10 | 18.9984 | 100 |
| neon | 20Ne | 10 | 10 | 10 | 19.9924 | 90.48 |
| 21Ne | 10 | 10 | 11 | 20.9938 | 0.27 | |
| 22Ne | 10 | 10 | 12 | 21.9914 | 9.25 | |
Table 2.4
Link to Learning
Atomic Mass
Because each proton and each neutron contribute approximately one u to the mass of an atom, and each electron contributes far less, the atomic mass of a single atom is approximately equal to its mass number (a whole number). However, the average masses of atoms of most elements are not whole numbers because most elements exist naturally as mixtures of two or more isotopes.
The mass of an element shown in a periodic table or listed in a table of atomic masses is a weighted, average mass of all the isotopes present in a naturally occurring sample of that element. This is equal to the sum of each individual isotope’s mass multiplied by its fractional abundance.
For example, the element boron is composed of two isotopes: About 19.9% of all boron atoms are 10B with a mass of 10.0129 u, and the remaining 80.1% are 11B with a mass of 11.0093 u. The average atomic mass for boron is calculated to be:
It is important to understand that no single boron atom weighs exactly 10.8 u; 10.8 u is the average mass of all boron atoms, and individual boron atoms weigh either approximately 10 u or 11 u.
Example 2.3
Calculation of Average Atomic Mass:
A meteorite found in central Indiana contains traces of the noble gas neon picked up from the solar wind during the meteorite’s trip through the solar system. Analysis of a sample of the gas showed that it consisted of 91.84% 20Ne (mass 19.9924 u), 0.47% 21Ne (mass 20.9940 u), and 7.69% 22Ne (mass 21.9914 u). What is the average mass of the neon in the solar wind?
Solution:
The average mass of a neon atom in the solar wind is 20.15 u. (The average mass of a terrestrial neon atom is 20.1796 u. This result demonstrates that we may find slight differences in the natural abundance of isotopes, depending on their origin.)
Check Your Learning:
A sample of magnesium is found to contain 78.70% of 24Mg atoms (mass 23.98 u), 10.13% of 25Mg atoms (mass 24.99 u), and 11.17% of 26Mg atoms (mass 25.98 u). Calculate the average mass of a Mg atom.
24.31 u
We can also do variations of this type of calculation, as shown in the next example.
Example 2.4
Calculation of Percent Abundance:
Naturally occurring chlorine consists of 35Cl (mass 34.96885 u) and 37Cl (mass 36.96590 u), with an average mass of 35.453 u. What is the percent composition of Cl in terms of these two isotopes?
Solution:
The average mass of chlorine is the fraction that is 35Cl times the mass of 35Cl plus the fraction that is 37Cl times the mass of 37Cl.
If we let x represent the fraction that is 35Cl, then the fraction that is 37Cl is represented by 1 − x.
(The fraction that is 35Cl + the fraction that is 37Cl must add up to 1, so the fraction of 37Cl must equal 1 − the fraction of 35Cl.)
Substituting this into the average mass equation, we have:
So solving yields: x = 0.7576, which means that 1 − 0.7576 = 0.2424. Therefore, chlorine consists of 75.76% 35Cl and 24.24% 37Cl.
Check Your Learning:
Naturally occurring copper consists of 63Cu (mass 62.9296 u) and 65Cu (mass 64.9278 u), with an average mass of 63.546 u. What is the percent composition of Cu in terms of these two isotopes?
69.15% Cu-63 and 30.85% Cu-65
Link to Learning
The occurrence and natural abundances of isotopes can be experimentally determined using an instrument called a mass spectrometer. Mass spectrometry (MS) is widely used in chemistry, forensics, medicine, environmental science, and many other fields to analyze and help identify the substances in a sample of material. In a typical mass spectrometer (Figure 2.13), the sample is vaporized and exposed to a high-energy electron beam that causes the sample’s atoms (or molecules) to become electrically charged, typically by losing one or more electrons. These cations then pass through a (variable) electric or magnetic field that deflects each cation’s path to an extent that depends on both its mass and charge (similar to how the path of a large steel ball bearing rolling past a magnet is deflected to a lesser extent that that of a small steel BB). The ions are detected, and a plot of the relative number of ions generated versus their mass-to-charge ratios (a mass spectrum) is made. The height of each vertical feature or peak in a mass spectrum is proportional to the fraction of cations with the specified mass-to-charge ratio. Since its initial use during the development of modern atomic theory, MS has evolved to become a powerful tool for chemical analysis in a wide range of applications.
Key Concepts and Summary
An atom consists of a small, positively charged nucleus surrounded by electrons. The nucleus contains protons and neutrons; its diameter is about 100,000 times smaller than that of the atom. The mass of one atom is usually expressed in atomic mass units (u), which is referred to as the atomic mass. An atomic mass unit is defined as exactly 1/12 of the mass of a carbon-12 atom and is equal to 1.6605 × 10−24 g.
Protons are relatively heavy particles with a charge of 1+ and a mass of 1.0073 u. Neutrons are relatively heavy particles with no charge and a mass of 1.0087 u. Electrons are light particles with a charge of 1− and a mass of 0.00055 u. The number of protons in the nucleus is called the atomic number (Z) and is the property that defines an atom’s elemental identity. The sum of the numbers of protons and neutrons in the nucleus is called the mass number and, expressed in u, is approximately equal to the mass of the atom. An atom is neutral when it contains equal numbers of electrons and protons.
Isotopes of an element are atoms with the same atomic number but different mass numbers; isotopes of an element, therefore, differ from each other only in the number of neutrons within the nucleus. When a naturally occurring element is composed of several isotopes, the atomic mass of the element represents the average of the masses of the isotopes involved. A chemical symbol identifies the atoms in a substance using symbols, which are one-, two-, or three-letter abbreviations for the atoms.
Glossary
- anion
- negatively charged atom or molecule (contains more electrons than protons)
- atomic mass
- average mass of atoms of an element, expressed in u
- atomic mass unit (u)
- unit of mass equal to 1/12 of the mass of a 12C atom
- atomic number (Z)
- number of protons in the nucleus of an atom
- cation
- positively charged atom or molecule (contains fewer electrons than protons)
- chemical symbol
- one-, two-, or three-letter abbreviation used to represent an element or its atoms
- ion
- electrically charged atom or molecule (contains unequal numbers of protons and electrons)
- mass number (A)
- sum of the numbers of neutrons and protons in the nucleus of an atom
