# Ionization Potential

Ionization energy is supplied to an electron of a particular atom, it can be promoted to successively higher energy levels. If the supplied energy is large enough it may possible to remove the electron completely from the pull of the positive nucleus.
The amount of energy required to remove the most loosely bound electron, that is outermost electron from an isolated gaseous atom of an element in its lowest energy state, that is ground state to produce cation is known as Ionization Potential or Ionization Energy of that element.
M(g) + Ionization Energy M⁺(g) + e
It is generally represented as I or IP and it is measured in electron volt (eV) or kilocalories (kcal) per gram atom. One electron volt (eV) being the energy gained by an electron falling through a potential difference of one volt.
∴ 1 eV = (Charge of an electron) × (1 volt)
= (1.6 × 10⁻¹⁹ Coulomb) × (1 Volt)
= 1.6 × 10⁻¹⁹ Joule
= 1.6 × 10⁻¹² erg

### Successive Ionization Potentials

1. The electrons are removed in stages one by one from an atom. The energy required to remove the first electron from a gaseous atom is called its first Ionization potential.
M (g) + IP₁  M⁺ (g) + e
2. The energy required to remove the second electron from the cation is called second Ionization potential.
M⁺ (g) + IP₂ M⁺² (g) + e
3. Similarly, we have third, fourth Ionization potentials.
M⁺² (g) + IP₃ M⁺³ (g) + e
M⁺ (g) + IP₄ M⁺⁴ (g) + e

### Periodic trends ionization energy

The following factors influence the magnitude of the Ionization Potentials:

The greater the distance of an element from the positive charge nucleus of an element, the weaker will be the attraction and hence the lower the ionization potential of that element.
If an atom is raised to an excited state by promoting one electron to a higher energy level, then that electron is further from the nucleus and it is observed that this excited electron is more easily detached than when the electron is in its ground state.
Thus on moving from top to bottom in a group the ionization potential of the elements decreases with the increase of their nucleus electron separation.
The successive increase in their values is due to the fact that it is relatively difficult to remove an electron from a cation having higher positive charge than from a cation having a lower positive charge or from a neutral atom.
 The magnitude of Ionization Potential

#### Nuclear charge and ionization potential

The higher the charge on the nucleus the more difficult it is to remove an electron and hence the higher the value of ionization potential.
Thus the value of ionization potential generally increases in moving from left to right in a period, since the nuclear charge of the elements (atomic number) also increases in the same direction.
 Ionization potential vs nuclear charge
With increasing, atomic number electrons are added to orbitals of the same principal quantum number. These electrons add little to the size of the atom, the increasing nuclear charge brings about a contraction in size. In effect, therefore, ionization potential steadily increases along a period.

#### Filled and half-filled orbitals and ionization potential

According to the Hund's rule atoms having half - filled or completely filled orbitals are comparatively more stable and hence more energy is needed to remove an electron from such atom.
The ionization of such atoms is therefore relatively difficult than expected normally from their position in the periodic table. A few regulations that are seen in the increasing value of ionization potential along a period can be explained on the basis of the concept of the half-filled and completely filled orbitals.
Be and N in the second period and Mg and P in the third period have a slightly higher value of ionization potentials than those normally expected.
This is explained on the basis of extra stability of the completely - filled 2S - orbital in Be (2S²) and 3S - orbital in Mg (3S²) and of half-filled 2P - orbital in N (2S² 2P³) and 3P - orbital in P (3S² 3P³).

#### Screening Effect and ionization potential

Electrons provide a screening effect on the nucleus. The outermost electrons are shielded from the nucleus by the inner electrons.
The radial distribution functions of the S, P, d orbitals shows that for the same principal quantum number the S - orbital is the most penetrating., next is P - orbital and least penetrating is the d - orbital. Screening efficiency falls off in the order, S〉P〉d.
As we move down a group, the number of inner - shells increases and hence the ionization potential tends to decreases.
Elements of II A Group: Be〉Mg〉Ca〉Sr〉Ba

#### Overall Charge on the Ionizing Species

An increase in the overall charge on the ionizing species (M⁺, M⁺², M⁺³, etc) will enormously influence the ionization potential since electron withdrawal from a positively charged species is more difficult than from a neutral atom.
The first ionization of the elements varies with their positions in the periodic table. In each of the table, the noble gas has the highest value and the alkali metals the lowest value for the ionization potential.

• Question
Calculate the ionization potential of the Hydrogen atom in eV.
We know that the energy corresponding to the transition from n = ∞ to n = 1 gives the ionization potential of the hydrogen atom.
Thus the IP of the Hydrogen atom,
EH = (2Ï€²me⁴/h²)[(1/n₁²) - (1/n₂²)]
∴ EH = 2.179 × 10⁻¹¹ erg
= 2.179 × 10⁻¹⁸ Joule
= (2.179 × 10⁻¹⁸)/(1.6 × 10⁻¹⁹) eV
= 13.6 eV
• Question
Calculate the second ionization potential of Helium (given IP of Hydrogen = 13.6 eV)
The ground state electronic configuration of helium is 1S². The second ionization potential means the removal of the second electron from the 1S orbital against the nuclear charge of +2.
So we have: IPHe = (2Ï€²mZ²e⁴/h²)[(1/n₁²) - (1/n₂²)]
= Z² × IPH
∴ Second Ionization Potential of Helium, = 22 × 13.6
= 54.4 eV
• Question
In first transition series electron filling up processes begins in the 3d level below a filled 4S level. During ionization process will a 4S electron or a 3d electron be lost first? Explain with reference to Chromium.
During ionization, the 4S electron lost first.
• Question
Arrange the following with the increasing order of Ionization Potentials Li, Be, B, C, N, O, F, Ne.
Liã„‘Bã„‘Beã„‘Cã„‘Oã„‘N〈Fã„‘Ne

Ionization energy and its measurement, successive ionization energies, factors affecting ionization enthalpy and its trends in the periodic table with problems

## Inorganic Chemistry

[Inorganic chemistry][column1]
[blogger]

Name

Email *

Message *