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CIE A-Level Chemistry Study Notes

1.1.3 Particle Numbers and Atomic Radius

In this section of A-level Chemistry, we will explore the methodologies for determining the numbers of protons, neutrons, and electrons in atoms and ions. Additionally, we will analyse the trends in atomic and ionic radii across periods and down groups in the periodic table, considering the effects of effective nuclear charge and electron shielding.

Determining Particle Numbers in Atoms and Ions

The composition of atoms and ions is central to the study of chemistry. Here, we detail the methods to ascertain the number of protons, neutrons, and electrons in these particles.

Atomic Number and Proton Number

  • Atomic Number (Z): This is a fundamental property of an atom, denoting the number of protons in the nucleus. In a neutral atom, it also equals the number of electrons.
    • Example: The atomic number of Oxygen is 8, meaning it contains 8 protons. In its neutral state, it also has 8 electrons.

Mass Number and Neutron Number

  • Mass Number (A): This is the total number of protons and neutrons in the nucleus of an atom.
  • Calculating Neutrons: To find the number of neutrons, subtract the atomic number from the mass number. Neutron number = Mass number - Atomic number.
    • Example: Carbon, with a mass number of 12 and an atomic number of 6, has 6 neutrons (12 - 6 = 6).
The mass number and atomic number of an element

Image courtesy of Peter Hermes Furian

Determining Electrons in Ions

  • Ions: These are atoms that have lost or gained electrons, acquiring a net charge.
    • Cation (Positive Ion): Formed by electron loss, resulting in fewer electrons than protons. Electron number = Atomic number - Charge.
    • Anion (Negative Ion): Formed by electron gain, resulting in more electrons than protons. Electron number = Atomic number + Charge.
    • Example: Na⁺ (Sodium ion) has 11 protons and 10 electrons (11 - 1).
Difference between cation and anion.

Image courtesy of Ali

The atomic radius is a measure of an atom's size, while the ionic radius pertains to ions. These radii are influenced by various factors as detailed below.

Trends Across Periods

  • Decreasing Size Across a Period: From left to right across a period, atomic and ionic radii decrease.
    • Underlying Reason: The increase in nuclear charge due to an increasing number of protons pulls electrons closer to the nucleus.
    • Effective Nuclear Charge (Z_eff): This is the net positive charge experienced by the outermost electrons. It increases across a period, pulling electrons closer and reducing the radius.

Trends Down Groups

  • Increasing Size Down Groups: The atomic and ionic radii increase when moving down a group.
    • Underlying Reason: With each successive element down a group, a new electron shell is added, increasing the distance of the outermost electrons from the nucleus.
    • Electron Shielding: Inner-shell electrons reduce the effect of the nuclear charge on the outer electrons, leading to a larger radius.
Trends in atomic radius

Image courtesy of Chembook (Dr. McCord)

Factors Affecting Ionic Radius

  • Cations (Smaller than Neutral Atoms): The loss of electrons leads to a smaller electron cloud. This reduces electron-electron repulsion and the overall size of the ion.
  • Anions (Larger than Neutral Atoms): The gain of electrons increases electron-electron repulsion, expanding the electron cloud and increasing the size of the ion.
  • Isoelectronic Species: These are atoms or ions with the same number of electrons. Their sizes vary inversely with their nuclear charge. For example, O²⁻ is larger than F⁻, despite having the same number of electrons, due to Oxygen's lower nuclear charge.

Effective Nuclear Charge and Electron Shielding

These concepts are critical for explaining trends in atomic and ionic radii.

Effective Nuclear Charge (Z_eff)

  • Net Charge Experienced by Electrons: Z_eff is the actual charge felt by an electron, accounting for both the positive charge of the protons and the negative charge of the other electrons.
  • Calculating Z_eff: This involves subtracting the shielding effect of inner electrons from the atomic number (Z).
  • Impact on Atomic Radius: A higher Z_eff results in a stronger pull on the electrons, leading to a smaller atomic radius.

Electron Shielding

  • Shielding Effect: This refers to the phenomenon where inner electron shells shield the outer electrons from the full effect of the nuclear charge.
  • Increasing Shielding Down a Group: As we move down a group in the periodic table, the number of inner electron shells increases, enhancing the shielding effect. This, in turn, leads to an increase in atomic radius.
  • Influence on Trends: The shielding effect is a key factor in determining the trends in atomic and ionic radii across the periodic table.
Effective Nuclear Charge and Electron Shielding

Image courtesy of Chemistry Learner

Understanding the methodologies for determining the numbers of subatomic particles in atoms and ions, as well as the trends in atomic and ionic radii, is crucial for A-level Chemistry students. These concepts lay the groundwork for more advanced topics in atomic structure and chemical bonding. Mastery of these fundamental ideas enables students to better appreciate and predict the behavior of atoms and ions in various chemical contexts.

FAQ

The difference in size between a neutral atom and its ion is primarily influenced by the change in electron configuration and the resultant change in electron-electron repulsion. When an atom forms a cation by losing electrons, it often loses an entire electron shell, which significantly reduces the size of its electron cloud. This reduction in size is further augmented by a decrease in electron-electron repulsion and an increase in effective nuclear charge per electron, resulting in a smaller ionic radius. In contrast, when an atom gains electrons to form an anion, the increase in electron-electron repulsion in the electron cloud leads to an increase in size. Additionally, the effective nuclear charge per electron decreases, allowing the electron cloud to expand. These changes in electron arrangement and inter-electronic forces are fundamental to understanding the size variation between atoms and their ions.

Electron shielding, also known as the screening effect, significantly influences the understanding of periodic trends, especially atomic and ionic radii, ionisation energy, and electronegativity. Electron shielding occurs when inner-shell electrons reduce the full effect of the nucleus' positive charge on the outer electrons. In a period, the shielding effect remains relatively constant as electrons are added to the same shell, but the effective nuclear charge increases, leading to a decrease in atomic radius. Conversely, down a group, the addition of electron shells increases the shielding effect. This increased shielding offsets the increased nuclear charge, resulting in an overall increase in atomic radius. Understanding electron shielding is crucial for explaining why elements in the same group exhibit similar chemical properties despite having an increasing number of protons and electrons.

Two different elements can have very similar or nearly the same atomic radius under certain conditions, especially when they are isoelectronic or close in their position on the periodic table. Isoelectronic species, as mentioned earlier, have the same number of electrons but different numbers of protons. In some cases, the balance between the increased nuclear charge and the number of electrons may lead to similar sizes. Additionally, elements that are adjacent to each other on the periodic table, particularly within the same period, might exhibit similar atomic radii due to minor differences in effective nuclear charge and electron shielding. However, it's rare for elements with different electron configurations to have exactly the same atomic radius due to the significant role played by nuclear charge and electron arrangement in determining the size of the electron cloud.

Ionisation energy refers to the energy required to remove an electron from a gaseous atom or ion. Across a period, ionisation energy generally increases. This is closely related to atomic radius and effective nuclear charge. As we move across a period, the atomic radius decreases due to the increase in nuclear charge, which pulls the electrons closer to the nucleus. As the electrons are held more tightly, more energy is required to remove them, thereby increasing the ionisation energy. In essence, the smaller the atomic radius (due to stronger Z_eff), the higher the ionisation energy, as electrons are more strongly attracted to the nucleus and require more energy to be removed. This relationship highlights the interconnectivity of atomic properties and how they influence each other.

Isoelectronic species are atoms or ions that have the same number of electrons but different numbers of protons. Understanding them helps in comprehending atomic and ionic radii as they illustrate how nuclear charge affects size. In isoelectronic species, even though the number of electrons is constant, the size varies inversely with the atomic number. For example, consider the isoelectronic ions Na⁺, Mg²⁺, and Al³⁺. Although they all have the same number of electrons as Ne (10 electrons), their sizes decrease from Na⁺ to Al³⁺. This happens because as the nuclear charge (number of protons) increases, it exerts a stronger pull on the same number of electrons, resulting in a smaller radius. Thus, despite having identical electron configurations, the atomic or ionic radii differ significantly, underscoring the influence of nuclear charge on the size of atoms and ions.

Practice Questions

An isotope of an unknown element has a mass number of 31 and an atomic number of 15. Determine the number of protons, neutrons, and electrons in a neutral atom of this isotope. Explain your reasoning.

The isotope in question has an atomic number of 15, which indicates that it has 15 protons. Since atomic number equals the number of protons, and in a neutral atom, the number of protons equals the number of electrons, this isotope also has 15 electrons. The mass number, given as 31, is the sum of protons and neutrons. Therefore, the number of neutrons can be calculated by subtracting the atomic number from the mass number: 31 (mass number) - 15 (atomic number) = 16 neutrons. Thus, this isotope contains 15 protons, 16 neutrons, and 15 electrons.

Discuss how the atomic radius changes across the period and down the group in the periodic table, including the roles of effective nuclear charge and electron shielding in these trends.

Across a period in the periodic table, the atomic radius decreases. This occurs because as we move from left to right, the number of protons in the nucleus increases, leading to a greater effective nuclear charge (Z_eff). The increased Z_eff pulls the electrons closer to the nucleus, resulting in a smaller atomic radius. Conversely, moving down a group, the atomic radius increases. This is due to the addition of extra electron shells, which increases the distance between the nucleus and the outermost electrons. Additionally, the inner shells provide electron shielding, reducing the effective nuclear charge felt by the outermost electrons. This lesser Z_eff allows the outer electrons to be less tightly bound to the nucleus, resulting in a larger atomic radius.

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