The chemical entities present in thermosphere of the atmosphere are:
a.) \[{{O}^{2+}},\text{ }{{O}^{+}},\text{ }{{N}^{+}}\]
b.) \[{{O}_{3}}\]
c.) \[{{N}_{2}},\text{ }{{O}_{2}},\text{ }C{{O}_{2}},\text{ }{{H}_{2}}O\]
d.) \[{{O}_{2}},\text{ }{{O}_{2}}^{+},\text{ }{{O}_{2}}\]

Hint: Thermosphere is a thin layer present in the atmosphere. Thermosphere is the most top layer (fourth layer) on the surface of the earth, which lies above the sphere called the mesosphere.

Complete step by step answer:
There is a region in the thermosphere called the ionosphere.
The Ionosphere is a thin region where charged particles are present in the atmosphere.
Coming to the given options, option A, \[{{O}^{2+}},\text{ }{{O}^{+}},\text{ }{{N}^{+}}\], all molecules are charged. So, it is the correct option. The ionosphere contains only charged particles.
Coming to option B, it is ozone (\[{{O}_{3}}\]), it is not a charged particle. So, it is not the correct option.
Coming to option C, \[{{N}_{2}},\text{ }{{O}_{2}},\text{ }C{{O}_{2}},\text{ }{{H}_{2}}O\]are not charged. So, option C is not a correct option.
Coming to option D, \[{{O}_{2}},\text{ }{{O}_{2}}^{+},\text{ }{{O}_{2}}\]all are not charged. So, option D is not a correct option.
So, the correct answer is “Option A”.

Additional Information:
There are four layers on the surface of the earth.
Troposphere, stratosphere, mesosphere, and thermosphere are the four layers.
Thermosphere is the outermost layer and the troposphere is the innermost layer on the surface of the earth.
In the thermosphere, ultraviolet radiation causes photoionization of molecules, and generates ions.

Note:Don’t be confused with the word thermosphere. Thermosphere means here the temperature is very high. Because of the high temperature the compounds or diatomic molecules won’t exist, they are going to convert into ions. So, in the thermosphere only ions are present. So the thermosphere is also called an ionosphere.