Atomic structure

Use proton, neutron, and electron counts to identify atoms, isotopes, and ions, then read the periodic table with an introductory shell model.

Learning objectives

  • Relate atomic number to protons and use mass number to find neutrons.
  • Explain how isotopes share an element identity but differ in neutrons.
  • Calculate ion electron counts from atomic number and charge.
  • Use a simplified shell arrangement for the first 20 elements and identify periodic-table families.

Prerequisites: Begin with Matter and measurement. You should be able to use subtraction and percentages.

1. Three particles, different jobs

An atom has a tiny nucleus surrounded by an electron cloud. The nucleus contains positively charged protons and electrically neutral neutrons. Negatively charged electrons occupy the much larger region outside the nucleus. Almost all the mass is concentrated in the nucleus, while the electrons account for most of the atom's volume. Charges are measured in coulombs, but introductory chemistry usually counts elementary charges as 1+, 0, and 1−.

The number of protons is the atom's identity. Every carbon atom has six protons; changing that number makes a different element. Atoms can gain or lose electrons without changing element identity. A neutron can change the isotope while leaving the element the same. This separation of roles prevents a common error: an ion is not a new element merely because its charge changed.

2. Atomic number and mass number

The atomic number, Z, equals the number of protons. An atom with no net charge has equal protons and electrons. The mass number, A, is a whole-number count of protons plus neutrons in one particular atom:

Z = protons     A = protons + neutrons     neutrons = A − Z

In isotope notation, A is written as a left superscript and Z may appear as a left subscript: 2311Na is sodium-23. The element symbol already communicates Z, so many tables omit the subscript. A mass number is not the decimal number printed in an ordinary periodic-table box. That decimal is usually an average atomic mass.

Worked example 1: count an isotope's particles

For 2713Al, Z = 13, so there are 13 protons. With no charge shown, there are 13 electrons. Neutrons = A − Z = 27 − 13 = 14. The atom has 13 protons, 14 neutrons, and 13 electrons.

3. Isotopes and average atomic mass

Isotopes are atoms of one element with the same proton number but different neutron numbers. They generally have similar chemical behavior because their electron structures match when they are neutral, although their masses and some nuclear behavior differ. A natural sample can contain more than one isotope. The periodic-table average is a weighted average based on isotope masses and abundances, not a claim that every atom has a fractional mass number.

Use decimal abundance as a fraction in a weighted average:

average atomic mass = (isotope mass × fraction) + (isotope mass × fraction) + …

Worked example 2: a two-isotope average

Imagine an element has isotope X-10 at 75.0% abundance and X-11 at 25.0% abundance. For this practice example, assign the simplified isotope masses 10 u and 11 u; real isotope masses are measured and are not exactly their whole-number mass numbers. Convert percentages to 0.750 and 0.250:

(10 × 0.750) + (11 × 0.250) = 7.50 + 2.75 = 10.25 u

The result is closer to 10 u because the lighter isotope is more common. Real calculations use measured isotope masses and reported abundances for the sample being described.

Do not round an isotope's mass number to the periodic-table average or call the average a mass number. The number 10.25 u represents a population average; no single isotope in this example has 10.25 nucleons.

4. Ions and electron counts

An ion has unequal numbers of protons and electrons. Its net charge is:

charge = protons − electrons

A positive ion, or cation, has lost electrons. A negative ion, or anion, has gained electrons. The charge tells how many more positive or negative elementary charges exist, not how many protons the atom has. For an ion with atomic number Z and charge q, electrons = Z − q when q is signed. Thus q = +2 means subtract two electrons, while q = −2 means add two.

Worked example 3: identify an ion

How many electrons are in 3517Cl−? Chlorine always has 17 protons. A 1− charge means one extra electron, so electrons = 17 − (−1) = 18. Neutrons = 35 − 17 = 18. The ion is still chlorine because its proton count is 17.

Ion notation places the charge at the upper right. The mass number, when included, is at the upper left. A charge of 2+ is not the same as a superscript 2 in a formula; context and position matter.

5. A useful but limited shell model

Electrons occupy regions of allowed energy. For an introductory model of the first 20 elements, write shells from the nucleus outward and place up to 2 electrons in the first shell, up to 8 in the second, and up to 8 in the third before starting the fourth. This gives sodium as 2,8,1 and calcium as 2,8,8,2. The outer-shell electrons are called valence electrons in this simplified account and help explain why elements in a periodic-table group often react in related ways.

This shell count is a teaching model, not a literal set of circular tracks. A high-school extension uses orbitals and an electron configuration such as 1s2 2s2 2p6; the p sublevel contains three orbitals and can hold six electrons. Transition elements and many ions require more careful ordering than the 2,8,8 shortcut. Do not use a simple shell picture to claim that all atoms seek exactly eight electrons or that electrons are motionless dots.

For a neutral atom, total shell electrons must equal Z. For a cation, remove the stated number of electrons; for an anion, add them. At this level, write the resulting count and check its total against the charge.

6. Reading the periodic table

Elements are arranged by increasing atomic number. A period is a row; its number loosely indicates the highest occupied principal shell in the simple model. A group is a column. Group 1 elements have one valence electron in the main-group pattern, group 17 have seven, and group 18 have filled outer shells in the usual neutral atoms. Hydrogen is a special case and should not be treated as an ordinary metal simply because it appears above group 1.

Metals are generally on the left and center, nonmetals on the upper right, with metalloids near the zigzag boundary. These broad labels predict useful trends but have exceptions. The periodic table box may show symbol, atomic number, name, and average atomic mass. Always identify which number a question asks for before calculating.

Practice with explained answers

  1. An atom has 8 protons, 10 neutrons, and 8 electrons. Give its element, mass number, and charge.

    Show reasoning

    Eight protons identify oxygen. A = 8 + 10 = 18, so it is oxygen-18. Equal protons and electrons give charge 0.

  2. Find protons, neutrons, and electrons in 4020Ca2+.

    Show reasoning

    Protons = 20. Neutrons = 40 − 20 = 20. A 2+ ion has lost two electrons, so electrons = 20 − 2 = 18.

  3. An element consists of 60% isotope mass 24 and 40% isotope mass 26. What is the average mass?

    Show reasoning

    Use fractions: (24 × 0.60) + (26 × 0.40) = 14.4 + 10.4 = 24.8 u.

  4. Write the simple shell arrangement for neutral sulfur, Z = 16, and for sulfide, S2−.

    Show reasoning

    Neutral sulfur has 16 electrons: 2,8,6. Sulfide gains two, giving 18 electrons: 2,8,8. The element remains sulfur because Z remains 16.

Sources and next steps

For formal definitions, consult the IUPAC definition of atomic number, IUPAC definition of mass number, and IUPAC definition of isotopes. The worked notation and weighted-average method follow OpenStax Chemistry: Atoms First 2e, atomic structure and symbolism. For a fuller electron-configuration model, see OpenStax, electronic structure. The shell arrangement here is intentionally simplified for early learning.