Theory
In the general case 2D-density of states in a solid could be defined by the following:
- , (1)
where is a current carrier's effective mass in a solid, is the electron mass, and is a dimensionless parameter which considers the zone structure of a solid. So, the quantum capacitance can be defined as follows:
- , (2)
where - the ‘‘ideal value’’ of quantum capacitance at and another ideal quantum capacitance:
- , (3)
where dielectric constant, fine structure constant and Compton wave length of electron, first defined by Yakymakha (1994) ) in the spectroscopic investigations of the silicon MOSFETs.
Read more about this topic: Quantum Capacitance
Famous quotes containing the word theory:
“There never comes a point where a theory can be said to be true. The most that one can claim for any theory is that it has shared the successes of all its rivals and that it has passed at least one test which they have failed.”
—A.J. (Alfred Jules)
“Hygiene is the corruption of medicine by morality. It is impossible to find a hygienest who does not debase his theory of the healthful with a theory of the virtuous.... The true aim of medicine is not to make men virtuous; it is to safeguard and rescue them from the consequences of their vices.”
—H.L. (Henry Lewis)
“The theory of rights enables us to rise and overthrow obstacles, but not to found a strong and lasting accord between all the elements which compose the nation.”
—Giuseppe Mazzini (1805–1872)