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IB DP Chemistry HL Study Notes

1.3.3 Main Energy Levels and Electrons

In the vast world of atomic structure, understanding the concept of energy levels and the distribution of electrons within them is crucial. Delving into these energy levels allows us to decode the arrangement of electrons in an atom and link it to the periodic table's structure.

Main Energy Levels

Electrons around an atom don't just float aimlessly. They are organised into specific regions of space called energy levels or shells. These levels can be thought of as concentric circles around the nucleus, with each successive circle holding electrons at a higher energy than the one before.

Integer Values: n

  • Every main energy level is associated with an integer value, commonly denoted as n.
  • n = 1 represents the first (innermost) energy level, n = 2 the second, and so on.
  • The value of n gives us insight into the energy of the electrons and their distance from the nucleus. The larger the value of n, the farther the electron is from the nucleus and the higher its energy.
A diagram showing the main energy levels and electrons number in each level.

Image courtesy of SAMYA

Maximum Electron Capacity

  • A main energy level's electron capacity is determined by the formula: 2n2.
  • This equation means the first energy level (n = 1) can hold a maximum of 2(12) = 2 electrons.
  • Following the formula, the second energy level (n = 2) can accommodate 2(22) = 8 electrons, the third (n = 3) can hold 2(32) = 18 electrons, and so forth.
A diagram showing examples of energy levels or energy shells.

Image courtesy of OpenStax College

Energy Levels and the Periodic Table

The periodic table isn't just a random arrangement of elements; it provides a wealth of information regarding atomic structure, particularly electron configuration.

Linking Energy Levels to Periods

  • The period number of an element on the periodic table directly corresponds to its highest main energy level.
  • For instance, any element in the first period has its outermost electron in the first main energy level (n = 1).
  • Similarly, elements in the second period have their outermost electrons in the second main energy level (n = 2) and so on.
A diagram showing energy levels and the periodic table.

Image courtesy of KAISERSCIENCE.

Periodic Implications

  • This relationship between periods and energy levels explains many elemental properties and trends.
  • Elements in the same period exhibit similar electron configurations in their highest main energy level, leading to analogous chemical behaviours.
  • As one moves down the periodic table, elements have more main energy levels filled with electrons. This increase in energy levels impacts atomic size, ionisation energy, and many other elemental properties.

Practical Applications

Identifying Element's Energy Level

Given an element's position on the periodic table, one can easily determine its highest main energy level:

  • An element like Helium (He), situated in period 1, has its outermost electron in the n = 1 energy level.
  • Conversely, an element such as Sodium (Na), found in period 3, has its outermost electron in the n = 3 energy level.

Predicting Element's Behaviour

  • By knowing the highest main energy level of an element, chemists can predict its reactivity.
  • Elements with a nearly filled or half-filled energy level often display distinct chemical behaviours compared to those with only one or two electrons in their highest main energy level.

FAQ

The 2n2 formula is a general guideline for determining the maximum number of electrons that can be held in a given main energy level. It's based on the number and type of orbitals available in each main energy level. For lower atomic numbers (smaller atoms), this formula is accurate. However, for larger atoms, especially those with electrons in f orbitals, electron-electron repulsions and relativistic effects can alter electron arrangements. As a result, while the formula is a helpful tool for understanding electron capacity, it doesn't account for all nuances in electron configurations across the periodic table.

Energy levels themselves are broad classifications of where an electron can be found in relation to the nucleus. When we delve into sublevels and orbitals, we encounter more specific electron 'clouds' or probability zones where electrons are likely to be found. These regions are based on complex wave functions. For instance, the s orbital (found in any main energy level) is spherical. The p orbitals, which start from the second energy level, have a dumbbell shape. As we delve deeper into d and f orbitals, the shapes become more complex, reflecting the intricate nature of electron behaviour and distribution.

This principle is known as the Aufbau principle and asserts that electrons will fill the lowest available energy levels before occupying higher ones. This is due to the inherent nature of electrons, which aim to maintain the most stable, lowest energy state possible. In atomic terms, "stability" equates to the lowest energy. By occupying the lowest energy levels first, atoms can achieve the most stable configuration. This behaviour ensures that the atom has the least amount of excess energy, reducing the potential for spontaneous reactions or energy releases.

The Bohr model of the atom, proposed by Niels Bohr in 1913, represents electrons orbiting the nucleus in specific, quantised energy levels or shells. Each of these shells corresponds to the main energy levels we discuss in quantum mechanics. In the Bohr model, electrons can move between these energy levels by absorbing or emitting a specific amount of energy. This model was particularly significant in explaining the emission spectra of hydrogen. However, while the Bohr model provides a foundational understanding, it is simplistic and doesn't account for sublevels or the complexities of electron behaviour in larger atoms.

While main energy levels (often denoted as shells) are represented by integers (e.g., n=1, n=2), within these main energy levels are sublevels. These sublevels, represented by s, p, d, and f, further subdivide the energy levels. As one progresses to higher main energy levels, more sublevels become available. For instance, the first energy level has only the s sublevel, while the third energy level has s, p, and d sublevels. Each sublevel has a distinct shape and specific number of orbitals, and thus, varying capacities for electrons.

Practice Questions

Using the formula for maximum electron capacity, determine how many electrons the fourth energy level (n = 4) can accommodate.

To determine the maximum number of electrons an energy level can hold, we use the formula 2n2. For the fourth energy level (n = 4), applying this formula, we have: 2(42) = 32. Therefore, the fourth energy level can hold a maximum of 32 electrons across its various orbitals and sublevels.

How does the period number of an element on the periodic table relate to its main energy levels? Provide an example to support your answer.

The period number of an element on the periodic table directly relates to its highest main energy level. In other words, if an element is in a specific period, its outermost electron is in the main energy level corresponding to that period number. For example, magnesium (Mg) is situated in the third period of the periodic table. This indicates that its highest main energy level is 3. Hence, magnesium's outermost electrons are in this third main energy level.

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