Why group 13 elements react with halogens to form trihalide except TlI3

Dear student
Please find the solution to the asked query:

Thallium  has +1 oxidation state which is predominant whereas the +3 oxidation state is highly oxidising in character.
The compounds in +1 oxidation state,are more ionic than those in +3 oxidation state.
The +1 oxidation state becomes more stable as we move down to the group from boron to thallium. The +1 oxidation state is more stable than +3 oxidation state because of inert pair effect, so
Tl exhibits the highest oxidation state possible(+1). due to which the compound 
is  unstable in nature and oxidises iodide to iodine. This is the reason why TlI3 does not exist

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