Atomic number & mass number
Two small numbers tell a complete nuclear story: an element’s identity, its electrons, and the particles packed in its nucleus.
A = protons + neutrons
A minus Z gives N.
Read the larger number above; the identity number below.
The atom’s three particlesStart at the centre
Inside the nucleus
Protons (p) have positive charge. Neutrons (n) have no charge. Both live in the nucleus.
Outside the nucleus
Electrons (e) have negative charge and occupy shells around the nucleus.
Think of the nucleus as a house. Its occupants are protons and neutrons; electrons are outside in shells.
Atomic number · ZThe element’s identity number
The textbook definition is exact: “The atomic number of an element is equal to the number of protons present in the nucleus of an atom of that element.”
Why it matters
No two different elements have the same atomic number. Change the number of protons and you change the element itself.
C: Z = 6 · N: Z = 7 · O: Z = 8
What Z unlocks
It gives the number of electrons in a neutral atom. Arrange them in shells, then use occupied shells for period and valence electrons for group.
Mass number · ACount the heavy nucleus particles
The textbook definition: “The mass number of an element is the sum of the number of protons and neutrons present in the nucleus of its atom.”
Electrons are not included: the mass number counts the particles in the nucleus. Atomic number counts only protons; mass number counts protons and neutrons together.
Phosphorus has A = 31 and Z = 15. How many neutrons does it have?
Which particles are included in mass number?
Read the notationAbove is A; below is Z
23 is the mass number, A.
11 is the atomic number, Z.
Na is the element symbol.
For 2311Na: protons = 11, electrons = 11 and neutrons = 23 − 11 = 12. For carbon 126C, all three values are 6, 6 and 6. For aluminium 2713Al, they are 13, 13 and 14.
Give it A and Z
Use the notation to calculate the particles in a neutral atom.
In 2311Na, write which number is A and which is Z.
Table 1.4The first twenty elements
Use the formula n = A − Z. The source table prints a dash for hydrogen’s neutrons; the calculation is 1 − 1 = 0.
| Element | Symbol | Z | A | Neutrons |
|---|---|---|---|---|
| Hydrogen | H | 1 | 1 | 0 |
| Helium | He | 2 | 4 | 2 |
| Lithium | Li | 3 | 7 | 4 |
| Beryllium | Be | 4 | 9 | 5 |
| Boron | B | 5 | 11 | 6 |
| Carbon | C | 6 | 12 | 6 |
| Nitrogen | N | 7 | 14 | 7 |
| Oxygen | O | 8 | 16 | 8 |
| Fluorine | F | 9 | 19 | 10 |
| Neon | Ne | 10 | 20 | 10 |
| Sodium | Na | 11 | 23 | 12 |
| Magnesium | Mg | 12 | 24 | 12 |
| Aluminium | Al | 13 | 27 | 14 |
| Silicon | Si | 14 | 28 | 14 |
| Phosphorus | P | 15 | 31 | 16 |
| Sulphur | S | 16 | 32 | 16 |
| Chlorine | Cl | 17 | 35 or 37 | 18 or 20 |
| Argon | Ar | 18 | 40 | 22 |
| Potassium | K | 19 | 39 | 20 |
| Calcium | Ca | 20 | 40 | 20 |
Tap-sorter · choose the correct number
Patterns for lighter elementsUseful observations, not magic rules
Even atomic number
Textbook exceptions: Beryllium (2Z = 8, listed A = 9) and Argon (2Z = 36, listed A = 40).
Odd atomic number
Textbook exceptions: Nitrogen (2Z + 1 = 15, listed A = 14) and Hydrogen (2Z + 1 = 3, listed A = 1).
These are observed patterns stated for lighter elements. Do not apply them blindly to every element.
Which pair is listed as exceptions to the even-Z pattern?
Method and worked examplesFour dependable steps
Worked example · Z = 15, A = 31
Find protons, electrons, neutrons and configuration. This element is phosphorus.
Final answer: p 15, e 15, n 16, configuration 2, 8, 5.
20 protons and 20 neutrons
Z = number of protons = 20. A = p + n = 20 + 20 = 40. Atomic number 20 is calcium.
3517Cl
p = 17, e = 17, n = 35 − 17 = 18; configuration = 2, 8, 7; three shells give Period 3 and seven valence electrons give Group 17.
An element has Z = 12. What is its electronic configuration?
An atom has Z = 17 and configuration 2, 8, 7. Where is it?
n/p ratio and common mistakesKeep the labels straight
The neutron-to-proton ratio is written n/p. The chapter states that an n/p ratio around 1 is stable (examples: sodium, potassium and calcium), while 1.5 and above is radioactive and unstable (example: uranium). For calcium, n/p = 20/20 = 1.
Tap a correction
Why does a change in the number of protons change the element?
Concept check and practiceSay it, then write it
Define atomic number.
Define mass number.
If Z = 16 and A = 32, how many protons, electrons and neutrons are present?
Which formula finds the number of neutrons?
Concept check — all 12 answers
- Atomic number: number of protons in the nucleus.
- Mass number: sum of protons and neutrons in the nucleus.
- Z.
- A.
- 16 protons.
- 16 electrons.
- 32 − 16 = 16 neutrons.
- No two different elements have the same atomic number.
- 2, 8, 3.
- Group 17, Period 3.
- n = A − Z.
- Beryllium and argon.
Level 1 — Easy practice and answers
- Symbol for atomic number: Z.
- Symbol for mass number: A.
- Z = p = e for a neutral atom.
- A = p + n.
- n = A − Z.
- Carbon has 6 protons.
- Oxygen-16 has 8 neutrons.
- Sodium has mass number 23.
Level 2 — Application practice and answers
| Atom | Protons | Electrons | Neutrons |
|---|---|---|---|
| 73Li | 3 | 3 | 4 |
| 126C | 6 | 6 | 6 |
| 199F | 9 | 9 | 10 |
| 2311Na | 11 | 11 | 12 |
| 2713Al | 13 | 13 | 14 |
| 3115P | 15 | 15 | 16 |
| 3517Cl | 17 | 17 | 18 |
| 4020Ca | 20 | 20 | 20 |
Level 3 — ICSE-style questions and model answers
1. Z = 14, A = 28: p = 14, e = 14, n = 14, configuration = 2,8,4, Period 3, Group 14.
2. 19 protons and 20 neutrons: Z = 19, A = 39, e = 19, configuration = 2,8,8,1; element potassium.
3. Significance of atomic number: It gives protons and, in a neutral atom, electrons; distinguishes elements; gives electronic configuration and hence group and period.
4. Complete the table: Mg: 12,12,12; Cl: 17,17,18; Ar: 18,18,22; K: 19,19,20 (protons, electrons, neutrons).
One-page revisionKeep these four lines ready
Give reason: Atomic number is unique because no two different elements have the same number of protons. It gives electronic configuration because a neutral atom has as many electrons as protons. Occupied shells determine period; valence electrons help determine group.