What is an orbital?
According to the Oxford Dictionary of English [1], orbital is defined as
Each of the actual or potential patterns of electron density which may be formed in an atom or molecule by one or more electrons, and can be represented as a wave function.
Wikipedia [2] says:
In quantum mechanics, an atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom.
If you go to Wikibooks [3], you will get that:
Each shell is subdivided into subshells, which are made up of orbitals, each of which has electrons with different angular momentum. Each orbital in a shell has a characteristic shape, and is named by a letter. They are: s, p, d, and f. (…) Within any particular shell, the energy of the orbitals depend on the angular momentum of orbitals s, p, d, and f in order of lowest to highest energy. No two orbitals have the same energy level.
(…)
Wikipedia [2] shows these graphical representations:
The shapes of the first five atomic orbitals are: $1s$, $2s$, $2p_x$, $2p_y$, and $2p_z$. The two colors show the phase or sign of the wave function in each region. These are graphs of $ψ(x, y, z)$ functions which depend on the coordinates of one electron. (…)
References
[1] Oxford Dictionary of English, 3rd ed.; Stevenson, A, Ed.; Oxford University Press: Oxford,
U.K., 2010.
[2] Atomic orbital. Wikipedia, The Free Encyclopedia. [Online]; Posted October 29, 2016. https://en.wikipedia.org/w/index.php?title=Atomic_orbital&oldid=746850729 (accessed Oct 29, 2016).
[3] General Chemistry/Shells and Orbitals. Wikibooks, The Free Textbook Project. [Online]; 7 November 7, 2016. https://en.wikibooks.org/w/index.php?title=General_Chemistry/Shells_and_Orbitals&oldid=3143833 (accessed Nov 7, 2016).