Atomic Number and Isotopes
These terms sound similar, and the MCAT knows it. Questions that test whether you can distinguish between atomic mass and atomic weight, or between mass number and atomic number, appear regularly. Letβs make the distinctions crystal clear.
Isotope Notation
The standard way to represent an isotope is:
In practice, you will often see isotopes written as the element name followed by the mass number - βcarbon-14β or βuranium-238.β Since the element name already tells you the atomic number (carbon is always 6), the mass number is the only additional information you need.
Isotopes
Isotopes are atoms of the same element (same number of protons) that have different numbers of neutrons, and therefore different mass numbers.
Inside an atom, and how to read an isotope symbol
Scroll sideways to see the whole map.
Reading the symbolThe bottom number is Z, the proton count, and it is what makes the element what it is. The top number is A, protons plus neutrons. Neutrons are the difference, A β Z, and they are never written directly.
Isotopes versus ionsChanging the neutron count gives an isotope: same element, same chemistry, different mass. Changing the electron count gives an ion: same element, same mass to three figures, different charge and very different behaviour.
Why atomic masses are not whole numbersThe mass on the periodic table is a weighted average over natural abundances. Chlorine sits at 35.45 because it is roughly three quarters chlorine-35 and one quarter chlorine-37, not because any single atom weighs 35.45 amu.
Consider hydrogen - the simplest element. It has three isotopes:
- Protium (ΒΉH): 1 proton, 0 neutrons - by far the most abundant
- Deuterium (Β²H): 1 proton, 1 neutron - stable, found in βheavy waterβ
- Tritium (Β³H): 1 proton, 2 neutrons - radioactive
All three are hydrogen. All three have one proton. They differ only in neutron count. Because isotopes share the same number of protons and electrons, they have nearly identical chemical properties - they form the same bonds and undergo the same reactions. Their physical properties (mass, radioactive behavior) may differ.
Isotones, Isobars, and Allotropes
The MCAT occasionally tests whether you can distinguish isotopes from three related terms. These show up less frequently than isotopes, but knowing the differences prevents easy points from slipping away.
Isotones are atoms of different elements that have the same number of neutrons. Carbon-14 (6 protons, 8 neutrons) and nitrogen-15 (7 protons, 8 neutrons) are isotones - both have 8 neutrons, but they are entirely different elements.
Isobars are atoms of different elements that have the same mass number. Argon-40 (18 protons, 22 neutrons) and calcium-40 (20 protons, 20 neutrons) are isobars - both have a mass number of 40, but different numbers of protons and neutrons.
Allotropes are different structural forms of the same element in the same physical state. Diamond, graphite, and fullerene are all allotropes of carbon - same element, same number of protons and neutrons, but the atoms are arranged in completely different crystal structures, giving them wildly different physical properties.
| Term | Same Element? | Same Protons? | Same Neutrons? | Same Mass Number? |
|------|:---:|:---:|:---:|:---:|
| Isotopes | Yes | Yes | No | No |
| Isotones | No | No | Yes | No |
| Isobars | No | No | No | Yes |
| Allotropes | Yes | Yes | Yes | Yes |
Atomic Mass vs. Atomic Weight
These two terms are easily confused:
Atomic mass (or mass number, A) is the total count of protons and neutrons in a specific atom. It is always a whole number. Carbon-12 has an atomic mass of 12 amu. Carbon-14 has an atomic mass of 14 amu.
Atomic weight is the weighted average of the atomic masses of all naturally occurring isotopes of an element. It is the number printed on the periodic table, and it is almost never a whole number.
Calculating Atomic Weight
The atomic weight is calculated by multiplying each isotopeβs mass by its natural abundance (as a decimal fraction), then summing:
Example: Chlorine has two main isotopes: Cl-35 (75.77%) and Cl-37 (24.23%).
Atomic weight = (35 x 0.7577) + (37 x 0.2423) = 26.52 + 8.97 = 35.49 amu
This is why the periodic table lists chlorine as 35.5, not 35 or 37.
The Mole and Molar Mass
One mole of any substance contains particles (Avogadroβs number, ). The beauty of the atomic weight is that it connects the microscopic world to the lab bench:
- The atomic weight of carbon is 12.01 amu
- One atom of carbon-12 weighs exactly 12 amu
- One mole of naturally occurring carbon weighs 12.01 grams
In other words, the atomic weight in amu for a single atom equals the molar mass in grams per mole (g/mol) for a mole of atoms. This equivalence is what makes the mole concept so powerful.
41.15 amu. (40 x 0.60) + (44 x 0.25) + (41 x 0.15) = 24.00 + 11.00 + 6.15 = 41.15 amu. Notice the result is closest to 40, the most abundant isotope.
Atomic mass is the mass of a specific isotope, approximately equal to its mass number (protons + neutrons). Atomic weight is the weighted average of all naturally occurring isotopes, which is the number on the periodic table. Atomic mass is for one isotope; atomic weight is the average across all isotopes.
Isotones. They have the same number of neutrons (8) but different numbers of protons, making them different elements entirely. Isotopes share the same protons (same element). Isobars share the same mass number. Isotones share the same neutron count - the βnβ in isotone helps you remember βneutrons.β