Atomic and Ionic Radius - 5.8.1 | Unit 3: Periodicity | IB Grade 11: Chemistry
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5.8.1 - Atomic and Ionic Radius

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Interactive Audio Lesson

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Understanding Atomic Radius

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0:00
Teacher
Teacher

Let's start by discussing what we mean by atomic radius. The atomic radius is essentially the size of an atom, which we measure as the distance from the nucleus to the outermost shell of electrons. Can anyone tell me how atomic radius might change as we move across a period in the periodic table?

Student 1
Student 1

I think it decreases as you move from left to right across a period, right?

Teacher
Teacher

Exactly! As we go from left to right, the effective nuclear charge increases because more protons are added to the nucleus without adding extra energy levels. This increased charge pulls the electrons closer, thereby decreasing the atomic radius. Can anyone think of a reason why the atomic radius increases when moving down a group?

Student 2
Student 2

It’s because we add more energy levels, right? So the electrons are further from the nucleus?

Teacher
Teacher

Correct! Each new electron shell is farther away, and even though the positive charge increases, the shielding effect from inner electrons prevents the outer electrons from feeling the full attraction of the nucleus. So, remember: Across a period, radius decreases; down a group, it increases. A good mnemonic is 'AC does not go up!' where A represents atomic radius, C for across, and D for down.

Diving into Ionic Radius

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Teacher
Teacher

Now that we understand atomic radius, let's discuss ionic radius. Can someone explain what an ionic radius is and how it differs from atomic radius?

Student 3
Student 3

The ionic radius is how big an ion is, right? It's different because cations and anions are not the same size.

Teacher
Teacher

That's spot on! Cations, which are positively charged ions, are smaller than their neutral atoms. This reduction in size occurs because when an atom loses electrons to form a cation, the electron-electron repulsion decreases, allowing the remaining electrons to be pulled in closer to the nucleus. Can anyone give an example of a cation and its corresponding neutral atom?

Student 4
Student 4

For example, Na loses an electron to become Na⁺. The atomic radius of Na is bigger than that of Na⁺.

Teacher
Teacher

Exactly! On the other hand, anions gain electrons and thus increase in size due to higher electron-electron repulsion. Let's summarize: cations are smaller due to loss of electrons, and anions are larger due to gain of electrons. Remember this difference as it's crucial for understanding bonding and reactivity!

Isoelectronic Series and Trends

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0:00
Teacher
Teacher

Now, let's shift to the concept of isoelectronic series. What do you all understand by this term?

Student 2
Student 2

I think it's when different ions have the same number of electrons.

Teacher
Teacher

Correct! An isoelectronic series consists of ions that have the same electron configuration but different numbers of protons. Can someone explain how this would affect their size?

Student 3
Student 3

The one with more protons will be smaller because its positive charge pulls the electrons closer.

Teacher
Teacher

Right again! For instance, in the isoelectronic series of O²⁻, F⁻, Na⁺, Mg²⁺, and Al³⁺, even though they all have ten electrons, Al³⁺, with its thirteen protons, is the smallest because it has the highest nuclear charge. So always remember: in isoelectronic species, the higher the nuclear charge, the smaller the ionic radius. This understanding will help when predicting how these ions behave in compounds!

Introduction & Overview

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Quick Overview

This section discusses atomic and ionic radii trends across periods and down groups in the periodic table.

Standard

The atomic and ionic radii are crucial periodic trends arising from effective nuclear charge and shielding effects. The section describes how atomic radius decreases across a period and increases down a group, and explains the differences in the radii of cations and anions.

Detailed

Atomic and Ionic Radius

In the periodic table, atomic and ionic radii reflect the size of atoms and ions respectively and show systematic trends influenced by effective nuclear charge (_eff) and shielding effects.

  1. Atomic Radius: The atomic radius is the distance from the nucleus to the outermost electron cloud and can be defined in several ways such as covalent, van der Waals, or metallic radii. It is essential to note that the covalent radius is what we focus on when discussing periodic trends. The atomic radius decreases as you move across a period from left to right due to increasing effective nuclear charge, drawing electrons closer to the nucleus, while it increases as one moves down a group due to the addition of principal energy levels which outweighs the increasing nuclear charge, resulting in greater shielding.
  2. Ionic Radius: This refers to the size of an ion in a crystal lattice, essential for understanding ionic bonding.
  3. Cationic Radius: Cations are smaller than their corresponding neutral atoms due to loss of electrons and reduced electron-electron repulsion within the electron cloud.
  4. Anionic Radius: Anions are larger due to the gain of electrons, which increases repulsion between electrons and expands the electron cloud.
  5. Isoelectronic Series: An important consideration is the isoelectronic series, whereby ions with the same electron configuration but different numbers of protons exhibit varying sizes; greater nuclear charge leads to a smaller radius.

These trends have significant implications for understanding chemical reactivity and bonding characteristics across the periodic table.

Audio Book

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Atomic Radius Trend Across a Period

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Across a period (Sc β†’ Zn): Atomic radius decreases due to increasing Z_eff, despite addition of d electrons.

Detailed Explanation

As we move from scandium (Sc) to zinc (Zn) in the periodic table, the atomic radius decreases. This decrease is primarily due to the increase in effective nuclear charge (Z_eff). Z_eff represents the net positive charge felt by the outer electrons after accounting for the shielding effect of inner electrons. As each element in this period has one additional proton compared to the previous element, the positive charge from the nucleus increases. Although we are also adding d electrons, which would typically increase the radius, the increased nuclear charge pulls the electrons closer, resulting in a smaller atomic radius overall.

Examples & Analogies

Think of the atomic radius trend like a magnet attracting paperclips. If you have a stronger magnet (representing the increasing nuclear charge), it pulls the paperclips (electrons) closer to it, even if you add more paperclips to the area. Thus, despite more 'paperclips' being present, the magnetic pull keeps them tightly grouped.

Atomic Radius Trend Down a Group

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Down a group (e.g., Sc β†’ Y β†’ La): Radius increases as n increases, but lanthanide contraction (ineffective shielding by 4f electrons) leads to a smaller-than-expected jump from 4d to 5d elements.

Detailed Explanation

When moving down a group on the periodic table, such as from scandium (Sc) to yttrium (Y) to lanthanum (La), the atomic radius increases. This increase is because, with each new period, we add a new principal energy level (n), increasing the distance of the outer electrons from the nucleus. However, in the case of lanthanum and the following lanthanides, the 4f electrons do not effectively shield the increasing nuclear charge caused by the addition of protons. As a result, while you would expect a more significant increase in atomic size, the effective nuclear charge remains strong enough that the expected jump between the 4d and 5d elements is less noticeable than one might think.

Examples & Analogies

Imagine stacking layers of books on a shelf where each layer represents a principal energy level. As more books are stacked (adding energy levels), it may seem that the height (atomic radius) would suddenly increase significantly if you add a new layer. However, if one layer is stacked a bit less securely (like the 4f electrons), it doesn’t hold the whole stack up as well, leading to a surprising level of stability as the top layers don’t spread out as much.

Definitions & Key Concepts

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Key Concepts

  • Atomic Radius: Size of an atom, decreases across a period, increases down a group.

  • Ionic Radius: Size of an ion, cations smaller than neutral atoms, anions larger.

  • Isoelectronic Series: Ions with same electron configuration, size decreases with increasing protons.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • Sodium ion (Na⁺) has a smaller radius than its neutral atom, sodium (Na).

  • The ionic radii of the isoelectronic series O²⁻ > F⁻ > Na⁺ > Mg²⁺ > Al³⁺.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎡 Rhymes Time

  • As you go low, the radius will grow; as you move right, it shrinks in sight.

πŸ“– Fascinating Stories

  • Imagine protons pulling electrons tightly around them; as we add more protons, they pull harder, making an atom smaller, but as layers build, they let go and grow.

🧠 Other Memory Gems

  • Remember 'A-C-D' to note that atomic radius Decreases Across a period and increases Down a group.

🎯 Super Acronyms

AAI for Atomic Aspects of Ions

  • Radius decreases Across
  • and increases Ions downwards.

Flash Cards

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Glossary of Terms

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  • Term: Atomic Radius

    Definition:

    The distance from the nucleus to the outermost electron shell of an atom.

  • Term: Ionic Radius

    Definition:

    The size of an ion in a crystal lattice, differing for cations and anions.

  • Term: Cation

    Definition:

    A positively charged ion formed by the loss of electrons.

  • Term: Anion

    Definition:

    A negatively charged ion formed by the gain of electrons.

  • Term: Isoelectronic Series

    Definition:

    A sequence of ions that have the same electron configuration but different numbers of protons.

  • Term: Effective Nuclear Charge (Z_eff)

    Definition:

    The net positive charge experienced by valence electrons, accounting for inner electron shielding.

  • Term: Shielding Effect

    Definition:

    The reduction of nuclear charge experience by an electron due to the presence of inner shell electrons.