Energy Level Formula
The Bohr model of the hydrogen atom must be considered when calculating the rotational energy levels formula. In the Bohr model of the hydrogen atom, an assumption was made concerning atom quantization. Electrons orbit the nucleus in predefined orbits or shells with definite radii, according to this theory. Only shells with a radius equal to the equation below were permitted. Additionally, no electrons could be present between the shells.
The permitted value of the atomic radius is specified by, which is the statement of the energy level equation in mathematics.
r(n) = n2 + r(1)
As a result, the formula for energy levels for radius is often known as Bohr’s formula.
Energy Level Formula
When a quantum mechanical system or particle is bound, it can only take on discrete energy values known as energy levels since it is spatially restricted. Classical particles, on the other hand, can absorb any amount of energy. The word is most usually used to describe the energy levels of electrons bound by the electric field of the nucleus in atoms, ions, or molecules, but it can also apply to the energy levels of nuclei or vibrational or rotational energy levels in molecules. A quantized energy spectrum is defined as a system with a wide range of energy levels.
Quantized energy levels: the energy levels in the atoms are quantized which means they can have only certain discrete energies. not continuous. This can be understood by comparing it with the rupee system is also a quantized system since it can have only certain values like 1 rupee, two rupee coins, or 100 rupee note, you cannot have a 1.5 rupee note or coin since the government has made the regulations that it can have only certain values. Likewise, electron energy levels are also quantized systems, they can only have certain discrete energy levels.
Ground state: the lowest energy level in the atoms is called the ground state.
Excited state: excited states are the state when an electron gets energy through thermal agitation or by absorbing photons it goes to higher energy levels, and when they lose the energy then again they come to the original state of the electron