Determining the Numbers of Subatomic Particles in the Isotopes of an Element
Problem Silicon (Si) is a major component of semiconductor chips. It has three naturally occurring isotopes: ^{28}Si, ^{29}Si, and ^{30}Si. Determine the numbers of protons, electrons, and neutrons in an atom of each silicon
Plan The mass number (A; left superscript) of each of the three isotopes is given, which is the sum of protons and neutrons. From the List of Elements on the text’s inside front cover (Table 1), we find the atomic number (Z, number of protons), which equals the number of electrons. We obtain the number of neutrons by subtracting Z from A (Equation 2.2).
Solution From the elements list (Table 1), the atomic number of silicon is 14. Therefore,
^{28}\text{Si has 14p}^+\text{, 14e}^−\text{, and 14n}^0\text{(28 − 14)}
^{29}\text{Si has 14p}^+\text{, 14e}^−\text{, and 15n}^0\text{(29 − 14)}
^{30}\text{Si has 14p}^+\text{, 14e}^−\text{, and 16n}^0\text{(30 − 14)}
Table 1: The Elements
Name | Symbol | Atomic Number |
Atomic Mass^* |
Name | Symbol | Atomic Number |
Atomic Mass^* |
Actinium | Ac | 89 | (227) | Mendelevium | Md | 101 | (256) |
Aluminum | Al | 13 | 26.98 | Mercury | Hg | 80 | 200.6 |
Americium | Am | 95 | (243) | Molybdenum | Mo | 42 | 95.94 |
Antimony | Sb | 51 | 121.8 | Moscovium | Mc | 115 | (288) |
Argon | Ar | 18 | 39.95 | Neodymium | Nd | 60 | 144.2 |
Arsenic | As | 33 | 74.92 | Neon | Ne | 10 | 20.18 |
Astatine | At | 85 | (210) | Neptunium | Np | 93 | (244) |
Barium | Ba | 56 | 137.3 | Nickel | Ni | 28 | 58.70 |
Berkelium | Bk | 97 | (247) | Nihonium | Nh | 113 | (284) |
Beryllium | Be | 4 | 9.012 | Niobium | Nb | 41 | 92.91 |
Bismuth | Bi | 83 | 209.0 | Nitrogen | N | 7 | 14.01 |
Bohrium | Bh | 107 | (267) | Nobelium | No | 102 | (253) |
Boron | B | 5 | 10.81 | Oganesson | Og | 118 | (294) |
Bromine | Br | 35 | 79.90 | Osmium | Os | 76 | 190.2 |
Cadmium | Cd | 48 | 112.4 | Oxygen | O | 8 | 16.00 |
Calcium | Ca | 20 | 40.08 | Palladium | Pd | 46 | 106.4 |
Californium | Cf | 98 | (249) | Phosphorus | P | 15 | 30.97 |
Carbon | C | 6 | 12.01 | Platinum | Pt | 78 | 195.1 |
Cerium | Ce | 58 | 140.1 | Plutonium | Pu | 94 | (242) |
Cesium | Cs | 55 | 132.9 | Polonium | Po | 84 | (209) |
Chlorine | Cl | 17 | 35.45 | Potassium | K | 19 | 39.10 |
Chromium | Cr | 24 | 52.00 | Praseodymium | Pr | 59 | 140.9 |
Cobalt | Co | 27 | 58.93 | Promethium | Pm | 61 | (145) |
Copernicium | Cn | 112 | (285) | Protactinium | Pa | 91 | (231) |
Copper | Cu | 29 | 63.55 | Radium | Ra | 88 | (226) |
Curium | Cm | 96 | (247) | Radon | Rn | 86 | (222) |
Darmstadtium | Ds | 110 | (281) | Rhenium | Re | 75 | 186.2 |
Dubnium | Db | 105 | (262) | Rhodium | Rh | 45 | 102.9 |
Dysprosium | Dy | 66 | 162.5 | Roentgenium | Rg | 111 | (272) |
Einsteinium | Es | 99 | (254) | Rubidium | Rb | 37 | 85.47 |
Erbium | Er | 68 | 167.3 | Ruthenium | Ru | 44 | 101.1 |
Europium | Eu | 63 | 152.0 | Rutherfordium | Rf | 104 | (263) |
Fermium | Fm | 100 | (253) | Samarium | Sm | 62 | 150.4 |
Flevorium | Fl | 114 | (289) | Scandium | Sc | 21 | 44.96 |
Fluorine | F | 9 | 19.00 | Seaborgium | Sg | 106 | (266) |
Francium | Fr | 87 | (223) | Selenium | Se | 34 | 78.96 |
Gadolinium | Gd | 64 | 257.3 | Silicon | Si | 14 | 28.09 |
Gallium | Ga | 31 | 69.72 | Silver | Ag | 47 | 107.9 |
Germanium | Ge | 32 | 72.61 | Sodium | Na | 11 | 22.99 |
Gold | Au | 79 | 197.0 | Strontium | Sr | 38 | 87.62 |
Hafnium | Hf | 72 | 178.5 | Sulfur | S | 16 | 32.07 |
Hassium | Hs | 108 | (277) | Tantalum | Ta | 73 | 180.9 |
Helium | He | 2 | 4.003 | Technetium | Tc | 43 | (98) |
Holmium | Ho | 67 | 164.9 | Tellurium | Te | 52 | 127.6 |
Hydrogen | H | 1 | 1.008 | Tennessine | Ts | 117 | (294) |
Indium | In | 49 | 114.8 | Terbium | Tb | 65 | 158.9 |
Iodine | In | 53 | 126.9 | Thallium | Tl | 81 | 204.4 |
Iridium | Ir | 77 | 192.2 | Thorium | Th | 90 | 232.0 |
Iron | Fe | 26 | 55.85 | Thulium | Tm | 69 | 168.9 |
Krypton | Kr | 36 | 83.80 | Tin | Sn | 50 | 118.7 |
Lanthanum | La | 57 | 138.9 | Titanium | Ti | 22 | 47.88 |
Lawrencium | Lr | 103 | (257) | Tungsten | W | 74 | 183.9 |
Lead | Pb | 82 | 207.2 | Uranium | U | 92 | 238.0 |
Lithium | Li | 3 | 6.941 | Vanadium | V | 23 | 50.94 |
Livermorium | Lv | 116 | (293) | Xenon | Xe | 54 | 131.3 |
Lutetium | Lu | 71 | 175.0 | Ytterbium | Yb | 70 | 173.0 |
Magnesium | Mg | 12 | 24.31 | Yttrium | Y | 39 | 88.91 |
Manganese | Mn | 25 | 54.94 | Zinc | Zn | 30 | 65.41 |
Meitnerium | Mt | 109 | (268) | Zirconium | Zr | 40 | 91.22 |
^*All atomic masses are given to four significant figures. Values in parentheses represent the mass number of the most stable isotope.