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In electrochemistry, the electrochemical potential of electrons (or any other species) is the total potential, including both the (internal, nonelectrical) chemical potential and the electric potential, and is by definition constant across a device in equilibrium, whereas the chemical potential of electrons is equal to the electrochemical ...
Total chemical potential, on the other hand, is usually specified relative to electrical ground. In atomic physics, the chemical potential of the electrons in an atom is sometimes [21] said to be the negative of the atom's electronegativity.
The electric potential and the magnetic vector potential together form a four-vector, so that the two kinds of potential are mixed under Lorentz transformations. Practically, the electric potential is a continuous function in all space, because a spatial derivative of a discontinuous electric potential yields an electric field of impossibly ...
The chemical potential μ is, by definition, the energy of adding an extra electron to the fluid. This energy may be decomposed into a kinetic energy T part and the potential energy − eφ part. Since the chemical potential is kept constant, Δ μ = Δ T − e Δ ϕ = 0. {\displaystyle \Delta \mu =\Delta T-e\Delta \phi =0.}
Under the free electron model, the electrons in a metal can be considered to form a Fermi gas. The number density N / V {\displaystyle N/V} of conduction electrons in metals ranges between approximately 10 28 and 10 29 electrons/m 3 , which is also the typical density of atoms in ordinary solid matter.
The electric potential energy stored in a capacitor is U E = 1 / 2 CV 2. Some elements in a circuit can convert energy from one form to another. For example, a resistor converts electrical energy to heat. This is known as the Joule effect. A capacitor stores it in its electric field.
An example is the muon, with a mean lifetime of 2.2 × 10 −6 seconds, which decays into an electron, a muon neutrino and an electron antineutrino. The electron, on the other hand, is thought to be stable on theoretical grounds: the electron is the least massive particle with non-zero electric charge, so its decay would violate charge ...
A free particle with mass in non-relativistic quantum mechanics is described by the free Schrödinger equation: (,) = (,) where ψ is the wavefunction of the particle at position r and time t . The solution for a particle with momentum p or wave vector k , at angular frequency ω or energy E , is given by a complex plane wave :