What is the wave function of hydrogen atom?

The hydrogen atom wavefunctions, ψ(r,θ,ϕ), are called atomic orbitals. An atomic orbital is a function that describes one electron in an atom.

What is the wave function of an electron in an atom?

A wave function is a function that attempts to describe the total energy of an electron. This includes all of the possible energy states of the electron and the amount of time that the electron stays in each state. The actual energy is a Probability density function – Wikipedia .

Why the wave function for electron in hydrogen atom should approach zero as R → 0 and r → ∞?

Radial wavefunctions The exponential factor is always positive, so the nodes and sign of R(r) depends on the behavior of p(r). Because the exponential factor has a negative sign in the exponent, R(r) will approach 0 as r goes to infinity.

When an electron in hydrogen atom is?

When an electron in hydrogen atom is excited, from its 4th to 5th stationary orbit, the change in angular momentum of electron is (Planck’s constant h=6.

When an electron in a hydrogen atom makes the transition?

The electron in a hydrogen atom makes a transition n1​→n2​, where n1​ and n2​ are the principal quantum numbers of the two energy states. Assume Bohr’s model to be valid. The time period of the electron in the initial state is eight times that in the final state.

What is a radial wave function?

The radial wave function R(r) is simply the value of the wave function at some radius r, and its square is the probability of the finding an electron in some infinitesimal volume element around a point at distance r from the nucleus.

What is the Schrodinger wave equation for hydrogen atom?

Ψ2s=42 π1(a01)3/2[2−a0r0]e−r/a0. where a0 is Bohr radius.

Which group of quantum number is related with wave function?

There is a set of quantum numbers associated with the energy states of the atom. The four quantum numbers n, ℓ, m, and s specify the complete and unique quantum state of a single electron in an atom, called its wave function or orbital.

Which quantum number is sufficient to describe the electron in hydrogen atom?

Hydrogen has only one electron . Only n value can describe the electron in ground states.

When an electron in hydrogen atom revolves in stationary orbit it?

As the electron, in the Hydrogen atom, revolves around the nucleus in a stationary orbit, it means the electrons does not jump from one orbit to another and thus it does not radiate light.