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CIE A-Level Chemistry Study Notes

1.3.1 Introduction to Energy Levels and Electron Configuration

Exploring the detailed arrangement of electrons in an atom provides a fundamental understanding of chemical reactions and properties. This section focuses on electron shells, sub-shells, and orbitals, their roles in determining electron energy levels, and the nuances of electron configurations.

Electron Shells, Sub-Shells, and Orbitals

Understanding Electron Shells

  • Definition: Electron shells are layers surrounding the atomic nucleus where electrons are likely to be found. They are quantized energy levels, each holding a specific maximum number of electrons.
    • Principal Quantum Number (n): This is the number assigned to each shell, starting from 1 for the shell closest to the nucleus. It indicates the relative size and energy of the shell, with larger numbers corresponding to shells further from the nucleus and higher energy.
    • Maximum Number of Electrons: The maximum number of electrons in a shell is given by 2n².
Electron shells of an atom

Image courtesy of SAMYA

Sub-Shells and Their Importance

  • Division of Shells: Each electron shell is further divided into sub-shells. These sub-shells are denoted by the letters s, p, d, and f, each corresponding to a different shape and number of orbitals.
    • s-Subshell: The simplest, consisting of one spherical orbital, found in all electron shells.
    • p-Subshell: Comprises three dumbbell-shaped orbitals, present from the second shell onwards.
    • d-Subshell: Contains five complex-shaped orbitals, starting from the third shell.
    • f-Subshell: The most complex, with seven orbitals, appearing from the fourth shell onwards.

Orbitals and Electron Arrangement

  • Definition of Orbitals: Orbitals are regions within a sub-shell where there is a high probability of finding electrons. Each orbital can hold up to two electrons.
  • Electron Spin: A fundamental property of electrons, where each electron in an orbital has an opposite spin, as dictated by the Pauli exclusion principle. This principle states that no two electrons in an atom can have the same set of four quantum numbers (including spin).
Shells, sub-shells and orbitals

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Ground State and Electron Configuration

Ground State of Electrons

  • Concept of Ground State: Refers to the lowest energy state of an atom, where all electrons are in the lowest possible energy levels, following the Aufbau principle.
  • Significance in Chemistry: The ground state electron configuration determines the chemical properties of an element, including its reactivity and type of bonding.
Ground state energy level and excited state energy level

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Detailed Electron Configuration

  • Aufbau Principle: Describes the sequence in which orbitals are filled with electrons. Electrons first fill the lowest energy orbitals available before moving to higher energy levels.
A diagram showing Aufbau Principle.

Image courtesy of Chemistry Learner.

  • Hund's Rule: States that electrons will occupy empty orbitals singly before pairing up in any orbital. This minimizes electron-electron repulsions and is crucial in determining the most stable arrangement of electrons in an atom.
Hund's Rule- electrons will occupy empty orbitals singly before pairing up in any orbital.

Image courtesy of Facts.net

  • Pauli Exclusion Principle: A fundamental principle in quantum mechanics, stating that two electrons occupying the same orbital must have opposite spins.
Pauli Exclusion Principle- A fundamental principle in quantum mechanics

Image courtesy of Expii

Shorthand Notations in Electron Configurations

Full and Shorthand Electron Configuration

  • Full Configuration: Lists the arrangement of all electrons in an atom, starting from the lowest energy level. It is important for understanding the complete electronic structure of an element.
  • Shorthand Configuration: Utilizes the electron configuration of the nearest noble gas as a starting point to simplify the notation. This is particularly useful for elements with a large number of electrons.

Examples and Applications

  • Illustrative Example: For chlorine (atomic number 17), the full electron configuration is 1s² 2s² 2p⁶ 3s² 3p⁵. In shorthand notation, this is written as [Ne] 3s² 3p⁵, using neon (Ne) as the reference noble gas.
  • Importance in Predicting Chemical Behavior: These notations are crucial for predicting how atoms will interact, bond, or react in different chemical scenarios.

Electrons in Boxes Notation

Visualizing Electron Configurations

  • Electrons in Boxes: A method to represent electrons in orbitals. Each box represents an orbital, and electrons are depicted as arrows pointing up or down (indicating spin).
  • Usefulness in Understanding Electron Distribution: This method is particularly helpful in visualizing the distribution of electrons according to Hund's rule and the Pauli exclusion principle. It aids in understanding why certain elements exhibit specific chemical properties.

Practical Application

  • Example: For carbon (atomic number 6), the electronic configuration is 1s² 2s² 2p². Using the 'electrons in boxes' notation, this is represented with two arrows (opposite spins) in the 1s box, two in the 2s box, and one arrow in each of two of the 2p boxes, illustrating Hund's rule.

These detailed concepts of electron configurations, orbitals, and energy levels form the cornerstone of understanding atomic structure and chemical behavior. Mastery of these topics is essential for A-level Chemistry students, as they provide the foundation for more advanced topics in chemistry and physics.

FAQ

The shape of an orbital significantly influences the chemical bonding and molecular shape of a compound. Orbitals dictate the spatial distribution of an electron's probability density, which in turn affects how atoms bond and arrange themselves in a molecule. For instance, the spherical shape of s orbitals allows for uniform bonding in all directions, contributing to the formation of single bonds, as seen in hydrogen (H₂). In contrast, the dumbbell-shaped p orbitals have directional properties, leading to specific angular bonding. This directional bonding is crucial in the formation of double bonds (like in oxygen O₂) and affects the geometry of molecules (e.g., the tetrahedral shape in methane, CH₄, due to sp³ hybridization). Additionally, the overlapping of different types of orbitals (like in hybridization) forms bonds with specific orientations, further determining the molecular geometry. For example, the linear shape of carbon dioxide (CO₂) is a result of sp hybridization involving one s and one p orbital. Thus, the shape and type of orbitals engaged in bonding directly influence the physical and chemical properties of molecules.

Transition metals exhibit variable oxidation states primarily due to the similar energy levels of their outermost s and nearby d orbitals. In transition metals, the 4s and 3d sub-shells are very close in energy, which means electrons from both these orbitals can be involved in bond formation and ionisation. This closeness in energy allows transition metals to lose different numbers of electrons from the s and d orbitals, resulting in various oxidation states. For example, iron (Fe) can lose two electrons to form Fe²⁺ (from the 4s orbital) or lose two 4s electrons and one or more 3d electrons to form Fe³⁺ or higher oxidation states. This ability to utilise electrons from both s and d orbitals for bonding and ionisation is not typically seen in other elements, where electron loss or gain primarily occurs from the outermost shell. Consequently, transition metals often display a wide range of chemical behaviours and complexions, contributing to their extensive use in catalysts and other applications.

Hund's rule states that electrons occupy orbitals of the same sub-shell singly with parallel spins before they start pairing up. This rule affects electron configuration and, consequently, the chemical reactivity of atoms in several ways. Firstly, by maximising the number of unpaired electrons, Hund's rule stabilises the atom. This is because electrons in the same orbital (paired electrons) repel each other more than electrons in separate orbitals. For example, in oxygen (O₂), Hund's rule explains the configuration of the 2p electrons, which are distributed singly across the three 2p orbitals before pairing begins. This configuration affects oxygen's chemical reactivity, contributing to its paramagnetic nature and its ability to form bonds by pairing its unpaired electrons with those of other atoms. Secondly, the distribution of electrons according to Hund's rule can influence the atom's ability to gain, lose, or share electrons, thereby impacting its reactivity. For instance, atoms with half-filled or fully filled sub-shells tend to be more stable and less reactive, as seen in the noble gases.

Electron configuration plays a pivotal role in determining the chemical properties of elements, particularly those in the same group of the periodic table. Elements in the same group have similar valence electron configurations, meaning they have the same number of electrons in their outermost shell. This similarity in electron arrangement leads to comparable chemical behaviors. For instance, the alkali metals (Group 1) all have one electron in their outermost s orbital (s¹ configuration). This single valence electron is relatively easily lost, making these elements highly reactive and prone to forming +1 ions. Similarly, the halogens (Group 17) have seven electrons in their outermost shell (s²p⁵ configuration), making them one electron short of a stable octet. This drives their tendency to gain an electron during chemical reactions, forming -1 ions. Thus, understanding the electron configurations of elements helps explain why elements in the same group exhibit similar trends in reactivity, ion formation, and bonding characteristics.

The order in which electron orbitals are filled is not strictly ascending due to the unique way electron energies vary in multi-electron atoms. As atoms increase in size (with more protons in the nucleus), the energy difference between shells and sub-shells changes. Initially, the energy levels increase with the principal quantum number (n). However, as n increases, the energy gap between different sub-shells (like s, p, d, f) narrows. For instance, the 4s sub-shell actually has a lower energy level than the 3d sub-shell, contrary to what the principal quantum number might suggest. This is due to electron shielding and penetration effects. Electron shielding occurs when inner electrons repel outer electrons, effectively reducing the nuclear charge felt by the outer electrons. Penetration is where some electrons (like those in s and p orbitals) can get closer to the nucleus, experiencing less shielding and thus lower energy. These complexities result in the non-linear order of energy levels and explain why the 4s orbital is filled before the 3d orbital.

Practice Questions

Explain why the electron configuration of chromium is ((Ar) 3d^5 4s^1) instead of ((Ar) 3d^4 4s^2), which might be expected based on the Aufbau principle.

The electron configuration of chromium is an exception to the Aufbau principle. Normally, electrons fill the 4s orbital before the 3d as 4s is of lower energy. However, in chromium, one electron from the 4s orbital is promoted to the 3d orbital, resulting in the configuration ((Ar) 3d5 4s1). This occurs because a half-filled 3d sub-shell ((d5)) is more stable than a partially filled one ((d4)). The increased stability arises from reduced electron-electron repulsions in the half-filled sub-shell, where each orbital contains one electron. This configuration minimises repulsion and maximises sub-shell stability, thus, chromium adopts this unusual electron arrangement.

Describe how the electron configuration of sodium ((Na)) changes when it becomes a (Na^+) ion and explain why this change occurs.

When sodium ((Na)) becomes a (Na+) ion, it loses one electron. The electron configuration of a neutral sodium atom is ([Ne] 3s1). Upon losing an electron, which is lost from the outermost shell (the 3s orbital), sodium achieves the electron configuration of neon ((Ne)), which is ((Ne)). This change occurs because atoms tend to lose, gain, or share electrons to achieve a more stable electron configuration, often resembling that of the nearest noble gas. For sodium, losing an electron results in a full outer shell, similar to neon, thereby increasing its stability. This is in line with the octet rule, where elements tend to achieve a full valence shell of eight electrons.

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