Trends in Ionisation Energy Across Periods and Down Groups
Introduction
Ionisation energy is a fundamental property in atomic chemistry, representing the energy required to remove an electron from an atom or ion in its gaseous state. Understanding the trends in ionisation energy across periods and down groups is crucial for predicting elemental behavior, reactivity, and placement in the periodic table. This knowledge is particularly significant for students studying 'Ionisation Energy' within the 'Atomic Structure' unit of the 'Chemistry - 9701' syllabus for AS & A Level boards.
Key Concepts
Definition of Ionisation Energy
Ionisation energy (IE) is defined as the minimum amount of energy required to remove the outermost electron from a neutral gaseous atom to form a cation. It is typically expressed in electron volts (eV) or kilojoules per mole (kJ/mol). The first ionisation energy refers to the removal of the first electron, while successive ionisation energies involve removing additional electrons.
Factors Affecting Ionisation Energy
Several factors influence ionisation energy, including:
- Atomic Radius: As atomic radius increases, the outer electrons are farther from the nucleus and are less strongly attracted, resulting in lower ionisation energy.
- Nuclear Charge: A higher nuclear charge increases the attraction between the nucleus and electrons, leading to higher ionisation energy.
- Electron Shielding: Increased shielding from inner-shell electrons reduces the effective nuclear charge on valence electrons, decreasing ionisation energy.
- Electron Configuration: Atoms with stable electron configurations (e.g., noble gases) exhibit higher ionisation energies due to the increased difficulty in removing an electron.
Trends Across a Period
Ionisation energy generally increases across a period from left to right. This trend can be attributed to the increasing nuclear charge with little change in atomic radius. As a result, electrons are held more tightly, making them harder to remove. However, there are exceptions, such as the dip between nitrogen and oxygen due to electron-electron repulsion in the p-orbitals.
Trends Down a Group
Ionisation energy decreases down a group. As the atomic radius increases, the outer electrons are located farther from the nucleus and experience greater shielding from inner electrons. These factors reduce the effective nuclear charge experienced by the valence electrons, making them easier to remove.
Electronic Configuration and Ionisation Energy
Stable electronic configurations, such as noble gas configurations, result in higher ionisation energies. Elements with half-filled or fully filled subshells also exhibit relatively higher ionisation energies due to increased stability.
Stepwise Ionisation Energies
Each successive ionisation energy is higher than the previous one. This is because removing an electron increases the positive charge of the ion, strengthening the attraction between the nucleus and the remaining electrons, thus requiring more energy to remove the next electron.
Applications of Ionisation Energy Trends
Understanding ionisation energy trends assists in predicting chemical reactivity, especially in metallic and non-metallic character. Metals typically have lower ionisation energies and tend to lose electrons easily, while non-metals have higher ionisation energies and tend to gain electrons.
Advanced Concepts
Quantum Mechanical Perspective
From a quantum mechanical standpoint, ionisation energy is influenced by the principal quantum number (n), azimuthal quantum number (l), and electron spin. Electrons in orbitals with lower energy (lower n and l values) require more energy to ionise. Additionally, Hund's rule and the Pauli exclusion principle play roles in electron distribution, affecting ionisation energies.
Effective Nuclear Charge (\(Z_{\text{eff}}\))
Effective nuclear charge is the net positive charge experienced by an electron in a multi-electron atom. It is calculated using the formula:
$$
Z_{\text{eff}} = Z - S
$$
where \(Z\) is the atomic number and \(S\) is the shielding constant. A higher \(Z_{\text{eff}}\) results in a stronger attraction between the nucleus and the valence electrons, leading to higher ionisation energies. Across a period, \(Z_{\text{eff}}\) increases, while down a group, \(Z_{\text{eff}}\) remains relatively constant or increases slightly, influencing the observed trends in ionisation energy.
Electron Configuration Exceptions
While general trends predict an increase in ionisation energy across a period and a decrease down a group, certain electron configurations cause deviations. For example, the transition from Group 2 to Group 13 elements may show slight decreases in ionisation energy due to added electron shielding. Additionally, the removal of electrons from half-filled or fully filled subshells requires more energy, leading to anomalies in the expected trends.
Successive Ionisation Energies
Successive ionisation energies provide insight into the stability of the resulting ions. A large jump between successive ionisation energies typically indicates the removal of a core electron after all valence electrons have been removed. For example, magnesium has a much higher second ionisation energy compared to the first, reflecting the removal of a stable 2+ ion.
Relativistic Effects
In heavier elements, relativistic effects become significant, where inner electrons move at speeds approaching the speed of light. This leads to contraction of s-orbitals and affects the ionisation energy by increasing the effective nuclear charge felt by the outer electrons, thereby increasing ionisation energy.
Interdisciplinary Connections
Ionisation energy trends are not only fundamental in chemistry but also have applications in physics and materials science. For instance, understanding ionisation energies is crucial in designing semiconductors and in spectroscopy techniques used to analyze elemental compositions.
Complex Problem-Solving
Consider the following problem:
- Problem: Predict the trends in first and second ionisation energies for elements in the third period. Explain any anomalies.
- Solution: As we move from left to right across the third period, first ionisation energy generally increases due to increasing \(Z_{\text{eff}}\) and decreasing atomic radius. However, anomalies occur between nitrogen and oxygen. Nitrogen has a half-filled p-subshell which is more stable, resulting in a higher first ionisation energy compared to oxygen, which has additional electron-electron repulsion in the p-orbital.
Mathematical Modelling of Ionisation Energy
The Bohr model provides an approximate formula for ionisation energy:
$$
IE = 13.6\, \text{eV} \times \frac{Z^2}{n^2}
$$
where \(Z\) is the atomic number and \(n\) is the principal quantum number. While simplistic, this model illustrates the inverse square relationship between ionisation energy and the principal quantum number, corroborating the trend of decreasing ionisation energy down a group.
Comparison Table
Aspect |
Across a Period |
Down a Group |
Trend in Ionisation Energy |
Increases from left to right |
Decreases from top to bottom |
Atomic Radius |
Decreases |
Increases |
Nuclear Charge (\(Z\)) |
Increases |
Increases slightly |
Shielding Effect |
Remains similar |
Increases significantly |
Effective Nuclear Charge (\(Z_{\text{eff}}\)) |
Increases |
Remains relatively constant or increases slightly |
Electron Configuration Stability |
Higher ionisation energy for stable configurations |
Lower ionisation energy due to increased shielding and larger radius |
Summary and Key Takeaways
- Ionisation energy increases across a period due to rising effective nuclear charge and decreasing atomic radius.
- Ionisation energy decreases down a group as atomic radius enlarges and electron shielding increases.
- Stable electron configurations lead to higher ionisation energies.
- Exceptions in trends arise from electron-electron repulsions and subshell stability.
- Understanding ionisation energy trends is essential for predicting elemental reactivity and behavior.