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13. Chemical Bonding
17. Atomic Structure
Trends in Ionisation Energy Across Periods and Down Groups

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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.

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Examiner Tip
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Tips

• **Mnemonic for Period Trends:** "Never Order Purple Orchids" helps remember that Ionisation Energy generally Increases from left to right.
• **Visual Aids:** Use periodic table color codes to visualize trends in ionisation energy.
• **Practice Problems:** Regularly solve ionisation energy-related questions to reinforce understanding and application.
• **Link Concepts:** Relate ionisation energy to atomic radius and effective nuclear charge for a holistic grasp.

Did You Know
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Did You Know

1. The concept of ionisation energy not only helps in understanding chemical reactivity but also plays a crucial role in astrophysics for analyzing the composition of stars.
2. Ionisation energy trends assist in determining the color and brightness of elements in fireworks, as different elements emit distinct colors when ionised.
3. In environmental science, ionisation energies are vital for understanding the formation of atmospheric ions and their impact on air quality.

Common Mistakes
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Common Mistakes

1. **Confusing Ionisation Energy with Electron Affinity:** Students often mix up these concepts. **Incorrect:** Assuming higher ionisation energy means higher electron affinity.
**Correct:** Ionisation energy refers to removing an electron, while electron affinity involves adding one.
2. **Ignoring Electron Configuration Stability:** Failing to account for stable configurations can lead to incorrect trend predictions. **Incorrect:** Assuming a smooth increase across a period without considering half-filled subshell stability.
**Correct:** Recognize that elements like nitrogen have higher ionisation energy due to their stable half-filled p-orbitals.
3. **Overlooking Shielding Effect:** Not considering the increase in shielding down a group can result in misunderstanding the decrease in ionisation energy.

FAQ

What is ionisation energy?
Ionisation energy is the minimum energy required to remove the outermost electron from a neutral gaseous atom to form a cation.
Why does ionisation energy increase across a period?
Across a period, ionisation energy increases due to increasing effective nuclear charge and decreasing atomic radius, which makes electrons harder to remove.
Why are there exceptions in the ionisation energy trend?
Exceptions occur due to electron-electron repulsions and the stability of half-filled or fully filled subshells, which can cause deviations from the general trend.
How does electron shielding affect ionisation energy?
Increased electron shielding reduces the effective nuclear charge on valence electrons, making them easier to remove and thus lowering ionisation energy.
What is successive ionisation energy?
Successive ionisation energies refer to the energies required to remove multiple electrons from the same atom, with each successive removal requiring more energy.
How do relativistic effects influence ionisation energy?
In heavy elements, relativistic effects cause inner electrons to move faster, leading to orbital contraction and increased effective nuclear charge, which raises ionisation energy.
13. Chemical Bonding
17. Atomic Structure
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