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HILLMC03_060-087hr.qxd 1/16/09 2:41 PM Page 61 3 C H A P T E R Atomic Structure QUESTIONS YOU MAY HAVE ASKED YOURSELF 1. 2. 3. 4. If we can’t see atoms, how can we discuss even smaller particles? What is radioactivity? Is it contagious? What causes the colors of fireworks? Most lightbulbs produce white light. Why does a neon bulb give off colored light? 5. I see the word quantum used; what does it mean? 6. What is “periodic” about the periodic table? Images of the Invisible Atoms are exceedingly tiny particles, much too small to see. Yet in this chapter, we discuss their inner structure. If atoms are so small that we cannot see them, even with an optical microscope, how can we possibly know anything about their structures? It turns out that we really know quite a lot about the structure of atoms. Although scientists have never examined the interior of an atom directly, they have been able to obtain a great deal of indirect information. By designing some clever experiments and exercising their powers of deduction, they have been able to construct an amazingly detailed model of what an atom’s interior must be like. Atoms are much too small to be seen with an ordinary light microscope. However, since 1970 scientists have been able to obtain images of individual atoms. In order to see even rough images of atoms, they must use special kinds of instruments such as the scanning tunneling microscope (STM). In this way they obtain pictures such as the one shown on page 40. We can see outlines of atoms in such photographs, and we can tell quite a bit about how they are arranged, but these pictures tell us nothing about the inner structure of the atoms. Why do we care about the structure of particles as tiny as atoms? It is the arrangement of various parts of atoms that determines the properties of different kinds of matter. Only by understanding atomic structure can we learn how atoms combine to make millions of different substances. With such knowledge, we can modify and synthesize materials to meet our needs more precisely. Knowledge of atomic structure is even essential to our health. Many medical diagnoses are based on chemical analyses that have been developed from our understanding of atomic structure. Perhaps of greater interest to you is the fact that your understanding of chemistry (as well as much of biology and other sciences) depends, at least in part, on your knowledge of atomic structure. Let’s start our study of atomic structure by going back to the time of John Dalton. 61 HILLMC03_060-087hr.qxd 62 CHAPTER 3 쎱 1/16/09 2:41 PM Page 62 Atomic Structure 3.1 Electricity source (⫺) (⫹) ⫺ ⫹ ⫹ ⫺ ⫺ ⫺ ⫹ Electricity and the Atom John Dalton, who set forth his atomic theory in 1803, regarded the atom as hard and indivisible. However, it wasn’t long before evidence accumulated to show that matter has electrical properties. Indeed, the electrolytic decomposition of water by Nicholson and Carlisle in 1800 (Section 2.3) had already indicated this. Electricity played an important role in unraveling the structure of the atom. Static electricity has been known since ancient times, but the notion of continuous electric current developed in the nineteenth century. In 1800 Alessandro Volta invented an electrochemical cell much like a modern battery. If the poles of a cell are connected by a wire, current flows through the wire. The current is sustained by chemical reactions inside the cell. Volta’s invention soon was applied in many areas of science and everyday life. ⫹ Electrolysis Anode Cathode 왖 Figure 3.1 An electrolysis apparatus. The electricity source (for example, a battery) directs electrons through wires from the anode to the cathode. Cations 1+2 are attracted to the cathode 1-2, and anions 1 -2 are attracted to the anode 1+2. This migration of ions is the flow of electricity through the solution. 왖 In addition to Michael Faraday’s work in A N S W E R electrochemistry, he also devised methods for liquefying gases, and invented the first electrical transformer. 1. If we can’t see atoms, how can we discuss even smaller particles? The existence of electrons and other subatomic particles was deduced from the behavior of electricity. The existence and behavior of those subatomic particles make atoms behave the way they do. Soon after Volta’s invention, Humphry Davy (1778–1829), a British chemist, built a powerful battery that he used to pass electricity through molten (melted) salts. Davy quickly discovered several new elements. In 1807 he liberated highly reactive potassium metal from molten potassium hydroxide. Shortly thereafter he produced sodium metal by passing electricity through molten sodium hydroxide. Within a year, Davy had also produced magnesium, strontium, barium, and calcium metals for the first time. The science of electrochemistry was born. (We will study electrochemistry in more detail in Chapter 8.) Davy’s protégé Michael Faraday (1791–1867) greatly extended this new science. Faraday defined many of the terms we still use today, such as electrolysis, the splitting of compounds by electricity (Figure 3.1). Lacking in his own formal education, he consulted English classical scholar William Whewell (1794–1866), who suggested the name electrolyte for a compound that conducts electricity when melted or dissolved in water. In the electrolysis apparatus, electrodes, carbon rods or metal strips inserted into a molten compound or solution, carry the electric current. The electrode that bears a positive charge is the anode, and the negatively charged electrode is the cathode. The entities that carry the electric current through a melted compound or solution are called ions. An ion is an atom or a group of atoms bonded together that has an electric charge. An ion with a negative charge is an anion; it travels toward the anode. A positively charged ion is a cation; it moves toward the cathode. Faraday’s work established that atoms are electrical in nature, but further details of atomic structure had to wait several decades for more powerful sources of electrical voltage and better vacuum pumps. Cathode Ray Tubes In 1875 William Crookes (1832–1919), an English chemist, was able to construct a low-pressure gas discharge tube that would allow electricity to pass through it. His experiment is shown in Figure 3.2. Metal electrodes are sealed in the tube. It is connected to a vacuum pump, and most of the air is removed. A beam of current is seen as a green fluorescence, observed when the beam strikes a screen coated with zinc sulfide. This beam, which seems to leave the cathode and travel to the anode, is called a cathode ray. Thomson’s Experiment: Mass-to-Charge Ratio Considerable speculation arose as to the nature of cathode rays and many experiments were undertaken. Were these rays actually beams of particles, or did they consist of a wavelike form of energy much like visible light? The answer came (as scientific answers should) from an experiment performed by the English physicist Joseph John Thomson in 1897. Thomson showed that cathode rays were deflected HILLMC03_060-087hr.qxd 1/16/09 2:41 PM Page 63 3.1 Electricity and the Atom 쎱 63 Negative plate (⫺) (⫹) High voltage Cathode Slit Screen coated with zinc sulfide (⫺) Anode (⫹) Positive plate (a) (b) 왖 Figure 3.2 Thomson’s apparatus, showing deflection of cathode rays (a beam of electrons). Cathode rays are themselves invisible but are observed through the green fluorescence produced when they strike a zinc sulfide–coated screen. The diagram (a) shows deflection of the beam in an electric field. The photograph (b) shows the deflection in a magnetic field. The magnetic field is created by the magnet to the right of and slightly behind the screen. Cathode rays travel in straight lines unless some kind of external field is applied. in an electric field (see again Figure 3.2). The beam was attracted to the positive plate and repelled by the negative plate. Thomson therefore concluded that cathode rays consisted of negatively charged particles. His experiments also showed that the particles were the same regardless of the materials from which the electrodes were made or the type of gas in the tube. He concluded that these negative particles are part of all kinds of atoms. Thomson named these negatively charged units electrons. Cathode rays, then, are beams of electrons emanating from the cathode of a gas discharge tube. Cathode rays are deflected in magnetic fields as well as in electric fields. The greater the charge on a particle, the more it is deflected in an electric (or magnetic) field. The heavier the particle, the less it is deflected by a force. By measuring the amount of deflection in fields of known strength, Thomson was able to calculate the ratio of the mass of the electron to its charge. He could not measure either the mass or the charge separately. This is like knowing that each 1-ft length of a steel beam has a mass of 25 lb. With this information alone, we cannot find either the total mass or length of a beam. Once the beam’s mass or its length is known, it is easy to calculate the other from the known value and the 25 lb/1 ft ratio. Thomson was awarded the Nobel Prize in Physics in 1906. (⫺) (⫹) High voltage Goldstein’s Experiment: Positive Particles In 1886 German scientist Eugen Goldstein performed experiments with gas discharge tubes that had perforated cathodes (Figure 3.3). He found that although electrons were formed and sped off toward the anode as usual, positive particles were also formed and shot in the opposite direction toward the cathode. Some of these positive particles went through the holes in the cathode. In 1907 a study of the deflection of these particles in a magnetic field indicated that they were of varying mass. The lightest particles, formed when there was a little hydrogen gas in the tube, were later shown to have a mass 1837 times that of an electron. Millikan’s Oil-Drop Experiment: Electron Charge The charge on the electron was determined in 1909 by Robert A. Millikan (1868–1953), a physicist at the University of Chicago. Millikan observed electrically charged oil drops in an electric field. A diagram of his apparatus is shown in ⫹ ⫹ Cathode ⫺ ⫺ ⫹ ⫺ Anode 왖 Figure 3.3 Goldstein’s apparatus for the study of positive particles. Some positive ions, attracted toward the cathode, pass through the holes in the cathode. The deflection of these particles (not shown) in a magnetic field can be studied in the region to the left of the cathode. HILLMC03_060-087hr.qxd 64 CHAPTER 3 쎱 1/16/09 2:41 PM Page 64 Atomic Structure 왘 Figure 3.4 The Millikan oildrop experiment. Oil drops irradiated with X-rays pick up electrons and become negatively charged. Their fall due to gravity can be balanced by adjusting the voltage of the electric field. The charge on the oil drop can be determined from the applied voltage and the mass of the oil drop. The charge on each drop is that of some whole number of electrons. Atomizer (⫹) Positively charged plate Source of ionizing radiation Telescope (⫺) You can find out more about numbers such as 9.1 * 10-28 and 1 * 1027 in the Appendix. However, in practice we seldom use the actual mass and charge of the electron. For many purposes, the electron is considered the unit of electrical charge. The charge is shown as a superscript minus sign (meaning 1- ). In indicating charges on ions, we use - to indicate a net charge of one electron, 2- to indicate a charge of two electrons, and so on. Negatively charged plate Figure 3.4. A spray bottle is used to form tiny droplets of oil. Some acquire negative charges by picking up electrons from the friction generated as the particles rub against the opening of the spray nozzle and against each other. (The charge is static electricity, just like the charge you get from walking across a nylon carpet.) The negative droplets can acquire one or more extra electrons by this process. Charges can also be produced by irradiation with X-rays. Some of the oil droplets pass into a chamber where they can be viewed through a microscope. The negative plate at the bottom of the chamber repels the negatively charged droplets; the positive plate attracts them. By manipulating the charge on each plate and observing the behavior of the droplets, the charge on each droplet can be determined. Millikan took the smallest possible difference in charge between two droplets to be the charge of an individual electron. For his research, he received the Nobel Prize in Physics in 1923. From Millikan’s value for the charge and Thomson’s value for the mass-tocharge ratio, the mass of the electron was readily calculated. That mass was found to be only 9.1 * 10-28 g. It would take more than 1 * 1027 electrons to weigh one gram—that’s a 1 followed by 27 zeros, or a billion billion billion electrons. More important, that mass is much smaller than that of the lightest atom. This means that electrons are much smaller than atoms. Self-Assessment Questions 1. The use of electricity to cause a chemical reaction is called a. anodizing b. corrosion c. electrolysis d. hydrolysis 2. During electrolysis of molten sodium hydroxide, sodium cations move to the a. anode, which is negatively charged b. anode, which is positively charged c. cathode, which is negatively charged d. cathode, which is positively charged 3. Cathode rays are not a. composed of negatively charged particles b. composed of particles with a mass of 1 u c. deflected by electric fields d. the same from element to element HILLMC03_060-087hr.qxd 1/16/09 2:41 PM Page 65 3.2 Serendipity in Science: X-Rays and Radioactivity 쎱 65 4. Thomson used a cathode ray tube to discover that cathode rays a. consist of radiation similar to X-rays b. could be deflected by an electric field c. could ionize air inside the tube d. could ionize the air outside the far end of the tube 5. When J. J. Thomson discovered the electron, he measured its a. atomic number b. charge c. mass d. mass-to-charge ratio 6. In his oil-drop experiment, Millikan determined the charge of an electron by a. measuring the diameter of the tiniest oil drops b. noting that the drops had either a certain minimum charge or multiples of that charge c. using an atomizer that could spray out individual electrons d. viewing the smallest charged drops microscopically and noting they had one extra electron Answers: 1, c; 2, c; 3, b; 4, b; 5, d; 6, b 3.2 Serendipity in Science: X-Rays and Radioactivity Let’s return now to the structure of the atom and look at a little scientific serendipity—scientific discoveries that are “happy accidents.” Have you ever wondered why these accidents often seem to happen to scientists? It is probably because scientists are trained observers. The same accident could happen right before the eyes of an untrained person and go unnoticed (though often even scientists miss important finds at first). Or, if noticed, its significance might not be grasped. Roentgen: The Discovery of X-Rays Two serendipitous discoveries in the last years of the nineteenth century profoundly changed the world. In 1895 German scientist Wilhelm Conrad Roentgen (1845–1923) was working in a dark room, studying the glow produced in certain substances by cathode rays. To his surprise, he noted this glow on a chemically treated piece of paper some distance from the cathode ray tube. The paper even glowed when taken into the next room. Roentgen had discovered a new type of ray that could travel through walls. When he waved his hand between the radiation source and the glowing paper, he suddenly was able to see the bones of his own hand through the paper. He called these mysterious rays, which seemed to make his flesh disappear, X-rays. X-rays are a form of electromagnetic radiation—energy with electric and magnetic components. Among other types, electromagnetic radiation also includes visible light, radio waves, microwaves, infrared radiation, ultraviolet light, and gamma rays (Section 3.3). These forms differ in energy, with radio waves lowest in energy, followed by microwaves, infrared radiation, visible light, ultraviolet light, X-rays, and gamma rays. Today X-rays are one of the most widely used tools in the world for medical diagnosis. Not only are they employed for examining decayed teeth, broken bones, and diseased lungs, but they are also the basis for such procedures as mammography and computerized tomography (Chapter 11). In the United States alone, payment for various radiological procedures totals more than $20 billion each year. How ironic that Roentgen himself made no profit at all from his discovery. He considered X-rays a “gift to humanity” and refused to patent any part of the discovery. However, he did receive much popular acclaim and in 1901 was awarded the first Nobel Prize in Physics. 왖 X-rays were used in medicine shortly after they were discovered by Wilhelm Roentgen (1845–1923) in 1895. Michael Purpin of Columbia University made this X-ray in 1896 to aid in the surgical removal of gunshot pellets (the dark spots) from the hand of a patient. M03_HILL4498_12_SE_C03.qxd 66 CHAPTER 3 쎱 4/20/11 3:06 PM Page 66 Atomic Structure The Discovery of Radioactivity A N S W E R 2. What is radioactivity? Is it contagious? Radioactivity is the spontaneous decay (occurs by itself) of an atom into one or more other atoms. The radiation—alpha, beta, or gamma rays—given off by radioactive material is hazardous but you can no more “catch” radiation sickness from a person exposed to radiation than you can “catch” a sunburn from your sunburned friend. Self-Assessment Questions 1. When Roentgen took an X-ray photograph of a hand, the bones showed up slightly dark because the X-rays were a. absorbed by bone more so than by flesh b. light that is less energetic than visible light c. made up of fast-moving atomic nuclei d. a type of radioactivity 2. Radioactivity arises from elements that a. absorb radiofrequency energy and release stronger radiation b. are unstable and release radiation c. give off X-rays d. undergo fission when they absorb energy Answers: 1, a; 2, b 왖 Marie Sklodowska Curie in her laboratory and Marie and Pierre Curie on a French postage stamp. Certain chemicals exhibit fluorescence after exposure to strong sunlight; they continue to glow even when taken into a dark room. In 1895 Antoine Henri Becquerel (1852–1908), a French physicist, was studying fluorescence by wrapping photographic film in black paper, placing a few crystals of the fluorescing chemical on top of the paper, and then placing the package in strong sunlight. If the glow was like ordinary light, it would not pass through the paper. On the other hand, if similar to X-rays, it would pass through the black paper and fog the film. While working with a uranium compound, Becquerel made an important accidental discovery. When placed in sunlight, the compound fluoresced and fogged the film. On several cloudy days when exposure to sunlight was not possible, he prepared samples and placed them in a drawer. To his great surprise, the photographic film was fogged even though the uranium compound had not been exposed to sunlight. Further experiments showed that the radiation coming from the uranium compound was unrelated to fluorescence but was a characteristic of the element uranium. Other scientists immediately began to study this new radiation. Becquerel had a graduate student from Poland, Marie Sklodowska, who gave the phenomenon a name: radioactivity. Radioactivity is the spontaneous emission of radiation from certain unstable elements. Marie later married Pierre Curie, a French physicist. Together they discovered the radioactive elements polonium and radium, and with Becquerel they shared the 1903 Nobel Prize in Physics. After her husband’s death in 1906, Marie Curie continued to work with radioactive substances, winning the Nobel Prize in Chemistry in 1911. For more than 50 years she was the only person ever to have received two Nobel Prizes. 3.3 Three Types of Radioactivity Scientists soon showed that three types of radiation emanated from various radioactive elements. Ernest Rutherford (1871–1937), a New Zealander who spent his career in Canada and Great Britain, chose the names alpha, beta, and gamma for the three types of radiation. When passed through a strong magnetic or electric field, the alpha form was deflected in a manner indicating that it consisted of a beam of positive particles (Figure 3.5). Later experiments showed that an alpha particle has a mass four times that of a hydrogen atom and a charge twice the magnitude of, but opposite in sign to, that of an electron. An alpha particle is in fact identical to the nucleus (Section 3.4) of a helium atom and is often symbolized by He 2 + . The beta radiation was shown to be made up of negatively charged particles identical to those of cathode rays. Therefore, a beta particle is an electron. HILLMC03_060-087hr.qxd 1/16/09 2:41 PM Page 67 3.4 Rutherford’s Experiment: The Nuclear Model of the Atom Gamma rays are not deflected by a magnetic field. They are a form of electromagnetic radiation, much like the X-rays used in medical work but even more energetic and more penetrating. The three types of radioactivity are summarized in Table 3.1. The discoveries of the late nineteenth century paved the way for an entirely new picture of the atom, which developed rapidly during the early years of the twentieth century. Radioactive material 쎱 67 Photographic plate (⫺) α γ β Table 3.1 Types of Radioactivity Lead block Name Symbol Mass (u) Charge Alpha a 4 2+ Beta b 1- Gamma g 1 1837 0 (⫹) 왖 Figure 3.5 Behavior of radioactive rays in an electric field. 0 Self-Assessment Questions 1. The mass of an alpha particle is about a. four times that of a hydrogen atom b. the same as that of an electron c. the same as that of a hydrogen atom d. the same as that of a beta particle 2. Compared to the charge on an electron (designated -1), that on an alpha particle is about a. -4 b. -1 c. +1 d. +2 e. +4 3. A beta particle is a(n) a. boron nucleus b. electron c. helium nucleus d. proton 4. The mass of a gamma ray is a. -1 u b. 0 u c. 1 u d. 4 u Answers: 1, a; 2, d; 3, b; 4, b 3.4 Rutherford’s Experiment: The Nuclear Model of the Atom At Rutherford’s suggestion, two of his coworkers, Hans Geiger (1882–1945), a German physicist, and Ernest Marsden (1889–1970), an English undergraduate student, bombarded very thin metal foils with alpha particles from a radioactive source (Figure 3.6). In an experiment with gold foil, most of the particles behaved as Rutherford expected, going right through the foil with little or no scattering. However, a few particles were deflected sharply. Occasionally one was sent right back in the direction from which it had come! Rutherford had assumed the positive charge to be spread evenly over all the space occupied by the atom, but obviously it was not. To explain the experiment, Rutherford concluded that all the positive charge Alpha source Alpha radiation Zinc sulfide screen for detecting radiation Gold foil 왖 Figure 3.6 Rutherford’s goldfoil experiment. Most alpha particles passed right through the gold foil, but now and then a particle was deflected. 68 CHAPTER 3 쎱 1/16/09 2:41 PM Page 68 Atomic Structure 왘 Figure 3.7 Model explaining the results of Rutherford’s gold-foil experiment. Most of the alpha particles pass right through the foil because it is mainly empty space. But some alpha particles are deflected as they pass close to a dense, positively charged atomic nucleus. Once in a while an alpha particle approaches an atomic nucleus head-on and is knocked back in the direction from which it came. Most of an atom is empty space Alpha source HILLMC03_060-087hr.qxd Tiny, extremely dense nucleus deflects only a few alpha particles and nearly all the mass of an atom are concentrated at the center of the atom in a tiny core called the nucleus. When an alpha particle, which is positively charged, directly approached the positively charged nucleus, it was strongly repelled and, therefore, sharply deflected (Figure 3.7). Because only a few alpha particles were deflected, Rutherford concluded that the nucleus must occupy only a tiny fraction of the volume of an atom. Most of the alpha particles passed right through because most of an atom is empty space. The space outside the nucleus isn’t completely empty, however. It contains the negatively charged electrons. Rutherford concluded that the electrons had so little mass that they were no match for the alpha “bullets.” It would be analogous to a mouse trying to stop the charge of a bull elephant. Rutherford’s nuclear theory of the atom, set forth in 1911, was revolutionary. He postulated that all the positive charge and nearly all the mass of an atom are concentrated in a tiny, tiny nucleus. The negatively charged electrons have almost no mass, yet they occupy nearly all the volume of an atom. To picture Rutherford’s model, visualize a sphere as big as a giant indoor football stadium. The nucleus at the middle of the sphere is as small as a pea but weighs several million tons. A few flies flitting here and there throughout the sphere represent the electrons. Self-Assessment Questions 1. The most persuasive evidence found in Rutherford’s gold foil experiment was that a. most of the alpha particles went right through the foil, but a tiny fraction was deflected right back toward the source b. some alpha particles were deflected a bit c. some gold atoms were converted to lead atoms d. some gold atoms were split 2. Rutherford’s gold foil experiment showed that a. the gold atoms consisted of protons in a “pudding” of electrons b. the nucleus was huge and was positively charged c. the nucleus was tiny and positively charged d. some gold atoms were shattered by alpha particles HILLMC03_060-087hr.qxd 1/16/09 2:41 PM Page 69 3.5 The Atomic Nucleus 3. From his gold foil experiment, Rutherford concluded that atoms consist mainly of a. electrons b. empty space c. neutrons d. protons 4. The positively charged part of the atom is its a. cation b. electron cloud c. nucleus d. valence shell Answers: 1, a; 2, c; 3, b; 4, c 3.5 The Atomic Nucleus In 1914 Rutherford suggested that the smallest positive particle (the one formed when there is hydrogen gas in the Goldstein apparatus—see Figure 3.3) is the unit of positive charge in the nucleus. This particle, called a proton, has a charge equal in magnitude to that of the electron and has nearly the same mass as a hydrogen atom. Rutherford’s suggestion was that protons constitute the positively charged matter in all atoms. The nucleus of a hydrogen atom consists of one proton, and the nuclei of larger atoms contain greater numbers of protons. Except for hydrogen atoms, atomic nuclei are heavier than indicated by the number of positive charges (number of protons). For example, the helium nucleus has a charge of 2+ (and, therefore, two protons, according to Rutherford’s theory), but its mass is four times that of hydrogen. This excess mass puzzled scientists at first. But in 1932 English physicist James Chadwick (1891–1974) discovered a particle with about the same mass as a proton but with no electric charge. It was called a neutron, and its existence explains the unexpectedly high mass of the helium nucleus. Whereas the hydrogen nucleus contains only one proton of mass 1 u, the helium nucleus contains not only two protons (2 u) but also two neutrons (2 u), giving the nucleus a total mass of 4 u. With the discovery of the neutron, the list of “building blocks” we will need for “constructing” atoms is complete. The properties of these particles are summarized in Table 3.2. (There are dozens of other subatomic particles, but most exist only momentarily and are not important in our discussion here.) The number of protons in the nucleus of an atom of any element is the atomic number (Z) of that element. This number determines the kind of atom—that is, the identity of the element—and it is found on any periodic table or list of the elements. An element, then, is a substance in which all the atoms have the same atomic number. Dalton had said that the mass of an atom determines the element. We now know it is not the mass but the number of protons that determines the identity of an element. For example, an atom with 26 protons (one whose atomic number Z = 26) is an atom of iron (Fe). An atom with 50 protons 1Z = 502 is an atom of tin (Sn). In a neutral atom (without an electric charge) the positive charge of the protons is exactly neutralized by the negative charge of the electrons. The attractive forces between the unlike charges help hold the atom together. Table 3.2 Subatomic Particles Particle Symbol Mass (u) Charge Proton p+ 1 1+ Nucleus Neutron n 1 0 Nucleus e- 1 1837 1- Electron Location in Atom Outside nucleus 쎱 69 HILLMC03_060-087hr.qxd 70 CHAPTER 3 쎱 1/16/09 2:41 PM Page 70 Atomic Structure A proton and a neutron have almost the same mass, 1.0073 u and 1.0087 u, respectively. This is equivalent to saying that two different people weigh 100.7 kg and 100.9 kg. The difference is so small that it usually can be ignored. Thus, for many purposes, we assume the masses of the proton and the neutron to be the same, 1 u. The proton has a charge equal in magnitude but opposite in sign to that of an electron. This charge on a proton is written as 1+. The electron has a charge of 1- and a mass of 0.00055 u. The electrons in an atom contribute so little to its total mass that their mass is usually disregarded and treated as if it were 0. Isotopes Atoms of a given element can have different numbers of neutrons in their nuclei. For example, most hydrogen atoms have a nucleus consisting of a single proton and no neutrons. However, about 1 hydrogen atom in 6700 has a neutron as well as a proton in the nucleus. This heavier hydrogen atom is called deuterium. Whether it has one neutron, two neutrons, or none, any atom with Z = 1—that is, with one proton—is a hydrogen atom. Atoms that have this sort of relationship—having the same number of protons but different numbers of neutrons—are called isotopes (Figure 3.8). A third, rare isotope of hydrogen is tritium, which has two neutrons and one proton in the nucleus. Most, but not all, elements exist in nature in isotopic forms. For example, tin (Sn) is present in nature in 10 different isotopic forms. It also has 15 radioactive isotopes that do not occur in nature. The existence of isotopes requires a modification of Dalton’s original theory. He said that all atoms of the same element are alike. We now say that all atoms of the same element have the same number of protons. Different isotopes of an element have atoms with the same number of protons but with different numbers of neutrons (and, therefore, different masses). Isotopes usually are of little importance in ordinary chemical reactions. All three hydrogen isotopes react with oxygen to form water. Because the isotopes differ in mass, compounds formed with different hydrogen isotopes have different physical properties, but such differences are usually slight. For example, water in which both hydrogen atoms are deuterium is called heavy water, often represented as D2O. Heavy water boils at 101.4 °C (instead of 100 °C) and freezes at 3.8 °C (instead of 0 °C). In nuclear reactions, however, isotopes are of utmost importance, as we shall see in Chapter 11. Symbols for Isotopes Collectively, the two principal nuclear particles, protons and neutrons, are called nucleons. Isotopes are represented by symbols with subscripts and superscripts. A ZX In this general symbol, Z is the nuclear charge (atomic number or number of protons), and A is the mass number or the nucleon number because it is the num- e⫺ 왘 Figure 3.8 The three isotopes of hydrogen. Each has one proton and one electron, but they differ in the number of neutrons in the nucleus. QUESTION: What is the atomic number and mass number of each of the isotopes? What is the mass of each, in atomic mass units, to the nearest whole number? e⫺ e⫺ p⫹ p⫹ n p⫹ n n Protium (ordinary hydrogen) Deuterium (heavy hydrogen) Tritium (radioactive hydrogen)