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2.3.1 Isotopes and atomic symbols

Isotopes

Definition

Isotopes

Atoms of the same element that contain the same number of protons but a different number of neutrons.

  1. Every atom of a particular element has the same number of protons, but not every atom of that element has the same number of neutrons.
  2. Atoms of the same element that have different numbers of neutrons are called isotopes.
  3. Isotopes of an element have the same proton number but different mass numbers, because the mass number includes the neutrons.
  4. An isotope is named by writing the name of the element followed by its mass number, such as carbon-12 or chlorine-37.
  5. Carbon has three naturally occurring isotopes.
    1. Carbon-12 has 6 protons and 6 neutrons.
    2. Carbon-13 has 6 protons and 7 neutrons.
    3. Carbon-14 has 6 protons and 8 neutrons.
  6. Hydrogen also has three isotopes, containing 0, 1 and 2 neutrons, but every hydrogen atom has just 1 proton.
  7. Most elements exist naturally as a mixture of isotopes, so a sample of chlorine gas contains both chlorine-35 atoms and chlorine-37 atoms.
  8. Neutral atoms of different isotopes of an element have the same number of electrons, because they have the same number of protons.

Atomic symbols

  1. An atom can be shown in a short form called an atomic symbol, written as ZAX{}^{A}_{Z}\text{X}ZA​X, where X\text{X}X is the chemical symbol of the element.
  2. The mass number, AAA, is written at the top left of the chemical symbol.
  3. The proton number, ZZZ, is written at the bottom left of the chemical symbol.
  4. The mass number is always the larger of the two numbers, because it counts the neutrons as well as the protons.
  5. The number of neutrons is found from the atomic symbol by subtracting the bottom number from the top number, A−ZA-ZA−Z.
  6. A neutral atom has the same number of electrons as protons, so the bottom number also gives the number of electrons.
  7. For the atomic symbol 612C{}^{12}_{6}\text{C}612​C, the atom has 6 protons, 6 electrons and 12−6=612-6=612−6=6 neutrons.
  8. Isotopes of the same element have atomic symbols with the same bottom number but different top numbers, as in 1735Cl{}^{35}_{17}\text{Cl}1735​Cl and 1737Cl{}^{37}_{17}\text{Cl}1737​Cl.
Example

Reading atomic symbols

  • The atomic symbol 1123Na{}^{23}_{11}\text{Na}1123​Na shows a sodium atom with 11 protons and 11 electrons.
number of neutrons=23−11=12 \text{number of neutrons}=23-11=12 number of neutrons=23−11=12
  • The atomic symbol 1737Cl{}^{37}_{17}\text{Cl}1737​Cl shows a chlorine atom with 17 protons and 17 electrons.
number of neutrons=37−17=20 \text{number of neutrons}=37-17=20 number of neutrons=37−17=20
  • The atomic symbol 1735Cl{}^{35}_{17}\text{Cl}1735​Cl shows an isotope of chlorine with the same 17 protons but two fewer neutrons.
number of neutrons=35−17=18 \text{number of neutrons}=35-17=18 number of neutrons=35−17=18

Symbols for ions

Definition

Ion

An atom or group of atoms that carries an electrical charge because it has lost or gained one or more electrons.

  1. The atomic symbol of an ion has its charge written at the top right, as in 1735Cl−{}^{35}_{17}\text{Cl}^{-}1735​Cl− or 1224Mg2+{}^{24}_{12}\text{Mg}^{2+}1224​Mg2+.
  2. Forming an ion changes only the number of electrons, so the proton number and mass number of the ion are the same as those of the atom.
  3. The number of neutrons in an ion is still found using A−ZA-ZA−Z.
  4. A positive charge shows that electrons have been lost, so you subtract the size of the charge from the proton number to find the number of electrons.
  5. A negative charge shows that electrons have been gained, so you add the size of the charge to the proton number to find the number of electrons.
  6. A single +++ or −-− sign with no number means a charge of one.
Example

Counting the particles in ions

  • The ion 1735Cl−{}^{35}_{17}\text{Cl}^{-}1735​Cl− has 17 protons and 35−17=1835-17=1835−17=18 neutrons, and its single negative charge means it has gained one electron.
number of electrons=17+1=18 \text{number of electrons}=17+1=18 number of electrons=17+1=18
  • The ion 1224Mg2+{}^{24}_{12}\text{Mg}^{2+}1224​Mg2+ has 12 protons and 24−12=1224-12=1224−12=12 neutrons, and its 2+2+2+ charge means it has lost two electrons.
number of electrons=12−2=10 \text{number of electrons}=12-2=10 number of electrons=12−2=10
  • The ion 816O2−{}^{16}_{8}\text{O}^{2-}816​O2− has 8 protons and 16−8=816-8=816−8=8 neutrons, and its 2−2-2− charge means it has gained two electrons.
number of electrons=8+2=10 \text{number of electrons}=8+2=10 number of electrons=8+2=10
Common Mistake
  • Do not mix up the two numbers in an atomic symbol, because the larger top number is the mass number and the smaller bottom number is the proton number.
  • Do not change the number of protons when you work out the particles in an ion, because only the electrons change.
  • Do not describe isotopes as having different numbers of protons or electrons, because isotopes differ only in their number of neutrons.
Exam technique

Defining isotopes

  • A full definition of isotopes needs three ideas: atoms of the same element, the same number of protons and different numbers of neutrons.
  • Saying that isotopes have different masses is not enough, because the mark is for naming the neutrons as the particles that differ.
  • When you fill in a table of particles for atoms and ions, check every row by confirming that protons plus neutrons equals the mass number.
Self review
  • What is the same and what is different in two isotopes of the same element?
  • What do the top-left and bottom-left numbers in an atomic symbol show?
  • How many neutrons are in an atom of 1737Cl{}^{37}_{17}\text{Cl}1737​Cl?
  • How many protons, neutrons and electrons are in 1224Mg2+{}^{24}_{12}\text{Mg}^{2+}1224​Mg2+?
  • Why does forming an ion not change the mass number?
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