The f- and d-block elements - Variation of Atomic size

  • The size of atoms in the f-block and d-block elements varies across periods and down groups.
  • In the d-block elements, atomic size decreases across a period due to increased effective nuclear charge.
  • In the f-block elements, atomic size experiences a variation known as the lanthanide contraction and actinide contraction.

Variation of Atomic Size - Periodic Trend

  • Atomic size decreases across a period in the d-block elements.
  • This is due to the increase in effective nuclear charge, pulling the electrons closer to the nucleus.
  • As atomic number increases, the number of protons also increases, intensifying the attractive force and decreases the size.

Variation of Atomic Size in the d-Block Elements

  • Transition metals have multiple oxidation states.
  • The effective nuclear charge increases due to the addition of electrons to the same energy level.
  • The attraction between the nucleus and electrons intensifies, resulting in a decrease in atomic size.

Variation of Atomic Size - Group Trend

  • Atomic size generally increases as you move down a group in the d-block elements.
  • This is because the number of energy levels increases, leading to larger atomic size.
  • Each period represents the filling of a new shell.

Variation of Atomic Size in the f-Block Elements: Lanthanide Contraction

  • The f-block elements, also known as the lanthanides and actinides, exhibit a unique variation in atomic size.
  • Lanthanide contraction is the decrease in atomic size from lanthanum (La) to lutetium (Lu).
  • This contraction occurs due to poor shielding of the 4f electrons resulting in a stronger nuclear attraction.

Variation of Atomic Size in the f-Block Elements: Actinide Contraction

  • Similar to the lanthanides, the actinides also show a contraction in atomic size.
  • Actinide contraction occurs from actinium (Ac) to lawrencium (Lr).
  • It is caused by poor shielding of the 5f electrons, leading to a stronger attraction between the nucleus and outer electrons.

Examples of Atomic Size Variation

  • Example 1: In period 4, titanium (Ti) has a smaller atomic size than scandium (Sc) due to increased effective nuclear charge.
  • Example 2: In the d-block, copper (Cu) has a smaller atomic size than nickel (Ni) due to the presence of additional 3d electrons.

Equations Relevant to Atomic Size Variation

  • Equation 1: Effective Nuclear Charge (Zeff) = Atomic Number (Z) - Shielding Effect (S)
  • Equation 2: Atomic Size (r) = Distance between the nucleus and the outermost electron
  • Equation 3: Atomic size increases as the number of energy levels (n) increases (r ∝ n)

Summary

  • Atomic size decreases across a period in the d-block elements due to increased effective nuclear charge.
  • Atomic size generally increases down a group in the d-block elements.
  • In the f-block elements, both lanthanide contraction and actinide contraction lead to a decrease in atomic size.

Key Takeaways

  • The size of atoms in the f-block and d-block elements varies across periods and down groups.
  • Lanthanide contraction and actinide contraction result in a decrease in atomic size.
  • Effective nuclear charge, shielding effect, and the number of energy levels play crucial roles in the variation of atomic size.
  1. The Effect of Electron Configuration on Atomic Size
  • The electron configuration of an atom affects its size.
  • The more electrons in the outermost energy level, the larger the atom.
  • Example: Potassium (K) has a larger atomic size than chlorine (Cl) due to the additional electron in the 4s orbital.
  1. Variation of Atomic Size in the s-Block Elements
  • Atomic size increases down a group in the s-block elements.
  • This is due to the addition of new energy levels as we move down the periodic table.
  • Example: Atomic size of lithium (Li) is larger than sodium (Na) due to the presence of an additional energy level in sodium.
  1. Variation of Atomic Size in the p-Block Elements
  • Atomic size generally decreases across a period in the p-block elements.
  • This is due to the increase in effective nuclear charge.
  • Example: Oxygen (O) has a smaller atomic size than nitrogen (N) due to the increased number of protons in the nucleus.
  1. Variation of Atomic Size in the Noble Gases
  • Noble gases have the largest atomic sizes within their respective periods.
  • This is because they have completely filled electron shells and exhibit excellent shielding.
  • Example: Helium (He) has a smaller atomic size than neon (Ne) due to the addition of an energy level in neon.
  1. Ionization Energy and Atomic Size
  • Ionization energy is the energy required to remove an electron from an atom.
  • Atomic size affects ionization energy: larger atoms have lower ionization energies.
  • Example: The ionization energy of lithium (Li) is lower than that of beryllium (Be) due to the larger atomic size of lithium.
  1. Electronegativity and Atomic Size
  • Electronegativity is the tendency of an atom to attract electrons towards itself.
  • Atomic size affects electronegativity: larger atoms have lower electronegativities.
  • Example: Chlorine (Cl) has a higher electronegativity than iodine (I) due to the smaller atomic size of chlorine.
  1. Relationship between Atomic Size and Metallic Character
  • Atomic size is inversely proportional to metallic character.
  • Larger atoms have more loosely held valence electrons, allowing for better conductivity.
  • Example: Sodium (Na) exhibits higher metallic character than magnesium (Mg) due to its larger atomic size.
  1. Quantum Numbers and Atomic Size
  • Atomic size can be explained using quantum numbers.
  • The principal quantum number (n) determines the energy level and consequently, the atomic size.
  • Example: An atom with n=3 has a larger atomic size than an atom with n=2.
  1. Factors Affecting Atomic Size
  • Effective nuclear charge, shielding, and the number of energy levels are the main factors affecting atomic size.
  • Effective nuclear charge increases across a period, decreasing atomic size.
  • Example: The atomic size of carbon (C) is smaller than nitrogen (N) due to the increased effective nuclear charge.
  1. Summary
  • Atomic size is influenced by electron configuration, effective nuclear charge, shielding effect, and the number of energy levels.
  • Atomic size generally increases down a group and decreases across a period.
  • Understanding the variation of atomic size helps explain trends in ionization energy, electronegativity, metallic character, and other chemical properties.
  1. Summary of Atomic Size Variation
  • Atomic size decreases across a period in the d-block elements due to increased effective nuclear charge (Zeff).
  • Atomic size generally increases down a group in the d-block elements due to the addition of energy levels (n).
  • Lanthanide contraction and actinide contraction lead to a decrease in atomic size in the f-block elements.
  • The electron configuration, shielding effect, and number of energy levels play crucial roles in determining atomic size.
  1. Example: Atomic Size Comparison
  • Compare the atomic sizes of elements calcium (Ca) and barium (Ba).
  • Ca (atomic number 20) has a smaller atomic size than Ba (atomic number 56).
  • This can be attributed to the increased effective nuclear charge in Ba, resulting in a stronger attraction between the nucleus and electrons.
  1. Equations: Effective Nuclear Charge (Zeff)
  • Equation: Effective Nuclear Charge (Zeff) = Atomic Number (Z) - Shielding Effect (S).
  • Higher Zeff leads to a stronger attraction between the nucleus and electrons, resulting in a smaller atomic size.
  • Example: As the atomic number increases from 3 to 7, the effective nuclear charge increases, causing a decrease in atomic size in boron (B) to nitrogen (N).
  1. Equations: Atomic Size (r)
  • Equation: Atomic size (r) = Distance between the nucleus and the outermost electron.
  • Atomic size increases as the number of energy levels (n) increases.
  • Example: The atomic size of sodium (Na) is larger than lithium (Li) due to the additional energy level in sodium.
  1. Example: Lanthanide Contraction
  • Lanthanide contraction refers to the decrease in atomic size from lanthanum (La) to lutetium (Lu).
  • It occurs due to poor shielding of the 4f electrons, leading to a stronger nuclear attraction.
  • The smaller atomic size of Lu compared to La is an example of lanthanide contraction.
  1. Example: Actinide Contraction
  • Actinide contraction occurs from actinium (Ac) to lawrencium (Lr) in the actinide series.
  • It is caused by poor shielding of the 5f electrons, resulting in a stronger attraction between the nucleus and outer electrons.
  • The decrease in atomic size from Ac to Lr demonstrates actinide contraction.
  1. Example: Variation of Atomic Size in the d-Block Elements
  • Atomic size decreases across a period in the d-block elements.
  • For example, the atomic size of iron (Fe) is smaller than manganese (Mn) due to the increased effective nuclear charge and stronger attraction between the nucleus and electrons.
  1. Example: Variation of Atomic Size in the f-Block Elements
  • Atomic size variation in the f-block elements is observed due to lanthanide and actinide contractions.
  • For example, the atomic size of gadolinium (Gd) is smaller than that of yttrium (Y) due to the lanthanide contraction.
  1. Relationship between Atomic Size and Ionization Energy
  • Atomic size and ionization energy are inversely proportional.
  • Larger atoms have more loosely held valence electrons, resulting in lower ionization energies.
  • For example, the ionization energy of cesium (Cs) is lower than fluorine (F) due to the larger atomic size of cesium.
  1. Relationship between Atomic Size and Electronegativity
  • Atomic size and electronegativity are inversely proportional.
  • Larger atoms have lower electronegativities as they have less ability to attract electrons.
  • For example, the electronegativity of rubidium (Rb) is lower than oxygen (O) due to the larger atomic size of rubidium.