Free MCAT study guide — Chemical and Physical Foundations of Biological Systems
Atomic structure and periodic trends form the bedrock of general chemistry on the MCAT. This topic appears across Chem/Phys (Section 1) and sometimes Bio/Biochem (Section 3) when discussing metal cofactors or electron transfer in biochemistry. Understanding how atoms are constructed and how their properties change across the periodic table gives you the conceptual toolkit to predict bonding behavior, molecular geometry, acid-base chemistry, and reaction mechanisms. The AAMC expects you to move beyond memorization: you should be able to reason about why trends exist based on effective nuclear charge, shielding, and orbital energetics.
This guide covers the subatomic particles, quantum mechanical model of the atom, electron configurations, and the major periodic trends. Mastery of this material is essential because nearly every general chemistry and organic chemistry topic builds upon these foundations.
Atoms consist of protons, neutrons, and electrons. Protons carry a +1 charge and reside in the nucleus; they define the element via the atomic number (Z). Neutrons are electrically neutral and also reside in the nucleus; they contribute to mass number (A = Z + N) and determine the isotope. Electrons carry a -1 charge and occupy orbitals surrounding the nucleus. Isotopes are atoms of the same element with different numbers of neutrons. For example, carbon-12 and carbon-14 are both carbon (Z = 6) but differ in neutron count. Radioactive isotopes are clinically relevant and may appear in passage-based questions involving PET scans, radiotherapy, or tracer studies.
Each electron in an atom is described by four quantum numbers. The principal quantum number (n) indicates the energy level and size of the orbital; n = 1, 2, 3, etc. The angular momentum quantum number (l) describes the shape of the orbital: l = 0 (s), l = 1 (p), l = 2 (d), l = 3 (f). The magnetic quantum number (ml) specifies the orientation, ranging from -l to +l. The spin quantum number (ms) is either +1/2 or -1/2 and distinguishes the two electrons that can occupy the same orbital.
Each orbital type has a characteristic shape: s orbitals are spherical, p orbitals are dumbbell-shaped, d orbitals have four lobes (with one exception), and f orbitals are even more complex. The number of orbitals per subshell is (2l + 1), so s has 1, p has 3, d has 5, and f has 7 orbitals.
Electrons fill orbitals according to three rules. The Aufbau principle states that electrons fill the lowest-energy orbitals first. The energy ordering is 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, and so on. The Pauli exclusion principle states that no two electrons in the same atom can have identical sets of four quantum numbers, which limits each orbital to two electrons with opposite spins. Hund's rule states that electrons fill degenerate orbitals singly before pairing, and they do so with parallel spins to minimize electron-electron repulsion.
Important exceptions to standard filling order include chromium ([Ar] 3d5 4s1) and copper ([Ar] 3d10 4s1), which achieve extra stability through half-filled or fully filled d subshells. When transition metals form cations, electrons are removed from the 4s orbital before the 3d orbital, even though 4s fills first. This is a commonly tested concept.
The effective nuclear charge is the net positive charge experienced by a valence electron. Zeff = Z - S, where Z is the atomic number and S is the shielding constant. Core electrons shield valence electrons from the full nuclear charge. Moving across a period, Z increases but shielding remains roughly constant (electrons are added to the same shell), so Zeff increases. Moving down a group, both Z and shielding increase, but new shells create much greater distance from the nucleus. Zeff is the unifying explanation for all major periodic trends.
Ionization energy (IE) is the energy required to remove the outermost electron from a gaseous atom. First IE generally increases across a period (higher Zeff holds electrons more tightly) and decreases down a group (greater distance and shielding). Notable exceptions occur at Group 3A (removing from a higher-energy p orbital is easier than from a filled 2s) and Group 6A (electron pairing in the p orbital creates repulsion, making removal easier). Successive ionization energies increase; a large jump indicates crossing into a new inner shell.
Electron affinity (EA) is the energy change when an electron is added to a gaseous atom. Elements with high EA (halogens, especially fluorine and chlorine) readily accept electrons. EA generally becomes more negative (more exothermic) across a period and less negative down a group, following the same logic as ionization energy. However, fluorine has a lower EA than chlorine because its small 2p orbital creates electron-electron repulsion when an additional electron is added.
Electronegativity (EN) measures an atom's ability to attract shared electrons in a chemical bond. The Pauling scale assigns fluorine the highest value (4.0). EN increases across a period (higher Zeff) and decreases down a group (greater atomic radius and shielding). Electronegativity differences between bonded atoms determine bond polarity: nonpolar covalent (difference < 0.5), polar covalent (0.5-1.7), and ionic (> 1.7). This concept directly connects to dipole moments, molecular polarity, and intermolecular forces.
Atomic radius decreases across a period (increasing Zeff pulls electrons closer) and increases down a group (additional electron shells). For ions: cations are smaller than their parent atoms (loss of electrons reduces electron-electron repulsion and may remove an entire shell), while anions are larger (added electrons increase repulsion). In an isoelectronic series (ions with the same electron count), the ion with more protons is smaller because the higher nuclear charge pulls the electron cloud inward more tightly.
Metallic character increases down a group and decreases across a period. Metals tend to lose electrons and form basic oxides; nonmetals tend to gain electrons and form acidic oxides. Amphoteric oxides (like Al2O3) can act as both acids and bases. This trend connects atomic structure to broader acid-base chemistry on the MCAT.
Atoms or ions with unpaired electrons are paramagnetic and are attracted to magnetic fields. Those with all electrons paired are diamagnetic and are weakly repelled by magnetic fields. To determine magnetic properties, write the electron configuration, paying attention to Hund's rule. Transition metal ions are commonly tested: Fe2+ has four unpaired electrons while Fe3+ has five, making Fe3+ more paramagnetic.
Atomic number = number of protons = number of electrons in a neutral atom
Mass number = protons + neutrons; isotopes differ in neutron count
Quantum numbers: n (size/energy), l (shape), ml (orientation), ms (spin)
Aufbau, Pauli exclusion, and Hund's rule govern electron filling order
Cr and Cu are exceptions: prefer half-filled or filled d subshells
Cations lose electrons from the highest n first (4s before 3d for transition metals)
Zeff = Z - S; increases across a period, explains most trends
IE increases across a period, decreases down a group (exceptions at Groups 3A and 6A)
EN increases across a period, decreases down a group; F is the most electronegative
Atomic radius decreases across a period, increases down a group
Cations are smaller, anions are larger than parent atoms
In isoelectronic series: more protons = smaller radius
Paramagnetic = unpaired electrons; diamagnetic = all paired
Shielding is most effective from core electrons in lower shells
The photoelectric effect demonstrates particle nature of light: KE = hf - work function
Confusing atomic number with mass number, or forgetting that isotopes have the same Z but different A
Writing electron configurations for transition metal cations by removing d electrons instead of s electrons (remove 4s first!)
Assuming all trends are perfectly linear — exceptions at Groups 3A and 6A for IE are frequently tested
Forgetting that fluorine has a lower electron affinity than chlorine due to small orbital size
Confusing electronegativity (tendency to attract shared electrons) with electron affinity (energy change upon gaining an electron)
Thinking larger atoms have higher ionization energies — the opposite is true
Not recognizing that Zeff is the single unifying concept behind all periodic trends
Ignoring paramagnetism/diamagnetism as a testable concept for transition metals
When approaching MCAT questions on atomic structure and periodic trends, start by identifying what property is being tested (IE, EN, radius, etc.) and recall which direction it trends across the periodic table. Always think in terms of Zeff — if you understand effective nuclear charge, you can derive any trend rather than relying on memorization alone.
For passage-based questions, look for data tables or graphs comparing properties across elements. The MCAT loves to test your ability to explain anomalies (like the IE drop at boron or oxygen). Practice writing electron configurations quickly, especially for transition metals and their common ions. Use practice problems that require you to rank elements by multiple properties simultaneously — this builds the integrated understanding the MCAT demands.
Flashcard the quantum number rules and key exceptions (Cr, Cu). For calculation-based questions, remember that the photoelectric effect and Bohr model equations are fair game. Be comfortable converting between wavelength, frequency, and energy using E = hf and c = lambda * f.
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