ground state
Summary
The ground state is the lowest-energy state of an atom, with electrons in the lowest available orbitals (hydrogen: n = 1). Absorbing a photon that matches an energy gap lifts an electron to an excited state, and the atom emits that same energy on returning.
Detail
Meaning: The ground state is the lowest-energy arrangement of an atom's electrons. Electrons fill from the lowest orbital upward (Aufbau), hold at most two per orbital with opposite spins (Pauli), and fill degenerate orbitals singly first (Hund). Absorbing a photon matching an energy gap gives an excited state; falling back emits a photon. For hydrogen, the ground state is n = 1.
Equation: En = −2.18 × 10⁻¹⁸ J / n² (hydrogen), where En is the electron's energy (J) and n is the principal quantum number (unitless). Photon: ΔE = hf = hc/λ, where h = 6.63 × 10⁻³⁴ J·s, f is frequency (Hz), c = 3.00 × 10⁸ m/s, and λ is wavelength (m).
On the MCAT: Expect a configuration to be labeled ground or excited, a comparison of photon energies for different transitions, or the energy needed to ionize hydrogen from n = 1 (2.18 × 10⁻¹⁸ J). Larger gaps mean higher-frequency, shorter-wavelength light.
Common confusion: Ground-state energy is the most negative value, not zero; zero is the free electron at n = ∞. Fluorine's 1s²2s²2p⁴3s¹ is excited because a lower orbital is not full. A few elements, such as Cr and Cu, have ground states that depart from the simple filling order.
Sources
- Chemistry: The Central Science
- Chemistry: Atoms First
- General Chemistry: Principles and Modern Applications
Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.