# How do you determine the work function of a metal?

## How do you determine the work function of a metal?

Their formula is W=−ϵF+Ws, where ϵF is the Fermi energy, a quantity determined by the density of electrons and the properties of the crystal lattice of the metal; you can work out reasonable approximations to this for alkali metals by using the free electron approximation.

### What is the formula for work function?

In equation form, this is given by KEe = hf − BE, where KEe is the maximum kinetic energy of the ejected electron, hf is the photon’s energy, and BE is the binding energy of the electron to the particular material. (BE is sometimes called the work function of the material.)

#### What is metal work function?

The work function (WF) of a metal can be defined as the minimum energy required to extract one electron from a metal. Obviously the WF is one of the fundamental electronic properties of bare and coated metallic surfaces.

**How would I calculate the work function of a metal?**

How would I calculate the work function of a metal? In the photoelectric effect, the work function is the minimum amount of energy (per photon) needed to eject an electron from the surface of a metal.

**How to calculate the work function of an electron?**

Work Function Formula The gain of kinetic energy of an electron is the difference between incident photon energy and work function of the metal or material and that can be represented as Where, φ is the work function of the metal and E k is the kinetic energy gain of the electron.

## Which is the work function of a metal surface?

The difference between the electron energy just outside the metal surface, Evac(s), and EF defines the work function of the metal surface, φm = Evac(s) – EF. It is important to describe the physical origin of the potential landscape illustrated in the above thought experiment.

### How to calculate work function of metal given stopping potential?

To reduce the photo current to zero, the stopping potential has to overcome the kinetic energy of the electrons. Therefore, EK = eVs. E K = e V s. But you also know, from equation 3 in your list that hf = EK +ϕ. h f = E K + ϕ. You can now solve for ϕ. ϕ. You must log in or register to reply here.