Domain: Organogallium chemistry

Tris(mesityl)gallium, \(\mathrm{Mes_3Ga}\), is dissolved in Tetrahydrofuran (THF)-\(d_8\) at −60 \( ^\circ\mathrm{C} \)
. The solution is treated with 1 equivalent of water and monitored by variable-temperature \(^{1}\mathrm{H}\) NMR. At −60 \( ^\circ\mathrm{C} \) , new NMR signals appear, indicating adduct formation with water. Gradual warming of the solution above 0 \( ^\circ\mathrm{C} \)
 leads to the appearance of free mesitylene and signals consistent with an organogallium hydroxide species. Prolonged warming of the mixture to room temperature for 18 h results in complete consumption of the initial adduct.

Predict the chemical structure of the major final product of this hydrolysis reaction at room temperature.

Grading rubric:
criterion: Correctly identifies the initial low-temperature species as the solvent-stabilized adduct $[Mes_3Ga(OH_2) \cdot 2THF]$ 
weight: 10
criterion: Correctly interprets the primary decomposition pathway as the protolytic cleavage of the $Ga-C$ bond to release mesitylene 
weight: 10
criterion: Correctly identifies the first stable warmed intermediate as the bis-($\mu$-hydroxo) bridged dimer $[Mes_2Ga(\mu-OH)]_2 \cdot 2THF$ 
weight: 20
criterion: Correctly verifies that the condensation growth phase proceeds via the elimination of mesitylene molecules 
weight: 10
criterion: Correctly identifies the final cluster as possessing a hexanuclear gallium ($Ga_6$) core 
weight: 10
criterion: Correctly formulates the oxygen-ligand count in the final cage as comprising exactly four $\mu$-oxo bridges 
weight: 10
criterion: Correctly formulates the final product structure as $[Mes_6Ga_6O_4(OH)_4 \cdot 4THF]$ 
weight: 30

Answer:
[Mes6Ga6O4(OH)4 · 4THF]