Question

What is the significance of negative electronic energy ?

Answer 1

1. Negative electronic energy means the condition or the state when the electronic energy of the electron is negative.
2. Negative sign denotes that the electrons are displaced from the higher energy level to the lower energy level.

Complete answer:
Negative energy is nothing but the negative energy of an electron, or simply a state or condition when the electronic energy is negative in the value.
The negative sign, says that, the level of energy of an electron in an atom is smaller or less than the amount of energy of an electron when it is at rest, means, when the energy level of an electron in atom is more than the energy level of an electron when it is at rest, then we use the negative sign.
From the negative sign we can also conclude that, that the particular electron is displaced from higher energy orbit to the lower energy orbit.
As we know that,
The energy level of an electron when it is at rest is always zero, as when the electron is at rest then the position of the electron is very far from the nucleus of the orbit, in that case the energy level present at the nucleus is not capable of putting any effect on the energy of the electron. So, in that particular case the energy level of the electron when it is placed in rest is zero.
The most negative value of an electron is always considered when the electron is placed in the ground state, or when the electron is placed in orbit n =1 .
In that case,
The level of energy is defined by,

$${E_n} = - {R_H}(\dfrac{1}{{{n^2}}}) \\\ {\text{Where,}} \\\ {{\text{E}}_{\text{n}}}{\text{ = Energy level of nth orbit}} \\\ {\text{n = Number of orbits (n = 0,1,2,}}...{\text{)}}$$

Hence, from the above-mentioned equation we can conclude that,
When, the value of (n = infinite) then the corresponding value of $\dfrac{1}{{{n^2}}}$will be very very small and in that case the value of energy will be closer to zero, and this state of energy level is defined as Zero electronic energy level.

Additional Information:
The same as stage of energy is defined by,

$${E_n} = - {R_H}(\dfrac{1}{{{n^2}}}) \\\ {\text{Where,}} \\\ {{\text{E}}_{\text{n}}}{\text{ = Energy level of nth orbit}} \\\ {\text{n = Number of orbits (n = 0,1,2,}}...{\text{)}}$$

So, it is possible that, the value of electronic power at any value of “n” can be negative, `Like the value of electronic energy when (n = 1) will be greater that the value of electronic power when (n = 2), as the value of electronic energy is inversely proportional to the value of “n”.

Note:
When, the assessment of n is infinity, or we can say that the condition when electron is placed at infinite, then in that case assessment of $\dfrac{1}{{{n^2}}}$will be close to zero, cause n is in denominator and in that case the bigger will be the assessment of n, the smaller will be assessment of $\dfrac{1}{{{n^2}}}$, means the value of $\dfrac{1}{{{n^2}}}$ will be inversely proportional to the value of “n”.