What is meant by an orbital?

Short Answer

Expert verified
An orbital is a region of space around an atom's nucleus where there is a high probability of finding an electron. They are mathematical representations derived from quantum mechanics and have varying shapes and orientations, such as s, p, d, and f orbitals. Orbitals help explain the distribution of electrons in different energy levels and sublevels, and their filling follows the Aufbau principle and Pauli Exclusion Principle.

Step by step solution

01

Definition of an Orbital

An orbital is a region of space around the nucleus of an atom where there is a high probability of finding an electron. It is a mathematical representation of the probable location of an electron in an atom and is derived from its wave function in quantum mechanics.
02

Types of Orbitals

There are four main types of orbitals denoted as s, p, d, and f. They have different shapes and orientations in space, which affect their energy levels and electron distribution. 1. s orbitals: These are spherical in shape and are the simplest type of orbital. There is only one s orbital per energy level. 2. p orbitals: These have a dumbbell shape, with the nucleus at the center of the dumbbell. There are three p orbitals in each energy level, oriented along the x, y, and z-axes. 3. d orbitals: These orbitals have more complex shapes and are present from the third energy level onwards. There are five distinct d orbitals in each energy level. 4. f orbitals: These are even more complex in shape and are present from the fourth energy level onwards. There are seven distinct f orbitals in each energy level.
03

Relation to Electron Configuration

Orbitals are essential for understanding electron configurations of atoms, as they explain the distribution of electrons in different energy levels and sublevels. The number of electrons in an orbital follows the Pauli Exclusion Principle which states that no more than two electrons with opposite spins can occupy the same orbital. The filling of orbitals in atoms follows a specific order known as the Aufbau principle. This principle states that electrons fill orbitals starting from the lowest energy levels and gradually moving to higher energy levels.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the ground state of mercury, Hg, a. how many electrons occupy atomic orbitals with \(n=3 ?\) b. how many electrons occupy \(d\) atomic orbitals? c. how many electrons occupy \(p_{z}\) atomic orbitals? d. how many electrons have spin "up" " \(\left(m_{s}=+\frac{1}{2}\right) ?\)

For each of the following pairs of elements $$(\mathrm{C} \text { and } \mathrm{N}) \quad(\text { Ar and Br })$$ pick the atom with a. more favorable (exothermic) electron affinity. b. higher ionization energy. c. larger size.

A carbon-oxygen double bond in a certain organic molecule absorbs radiation that has a frequency of \(6.0 \times 10^{13} \mathrm{s}^{-1}\) . a. What is the wavelength of this radiation? b. To what region of the spectrum does this radiation belong? c. What is the energy of this radiation per photon? per mole of photons? d. A carbon-oxygen bond in a different molecule absorbs radiation with frequency equal to \(5.4 \times 10^{13} \mathrm{s}^{-1} .\) Is this radiation more or less energetic?

Three elements have the electron configurations 1\(s^{2} 2^{2} 2 p^{6} 3 s^{2}\) 1\(s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{4}\) , and 1$s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} .$ The first ionization energies of these elements (not in the same order) are 0.590 , 0.999, and 0.738 MJ/mol. The atomic radii are 104, 160, and 197 pm. Identify the three elements, and match the appropriate values of ionization energy and atomic radius to each configuration. Complete the following table with the correct information.

Photogray lenses incorporate small amounts of silver chloride in the glass of the lens. When light hits the AgCl particles, the following reaction occurs: $$\mathrm{AgCl} \stackrel{h v}{\longrightarrow} \mathrm{Ag}+\mathrm{Cl}$$ The silver metal that is formed causes the lenses to darken. The enthalpy change for this reaction is \(3.10 \times 10^{2} \mathrm{kJ} / \mathrm{mol}\) . Assuming all this energy must be supplied by light, what is the maximum wavelength of light that can cause this reaction?

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free