Uranyl peroxide cage clusters are generally soluble in water. Here, the effect of hydrogen peroxide concentration on the dissolution of $UO_2$ is investigated. Lower initial $H_2O_2$ concentrations reduce the dissolution of $UO_2$ and tend to produce simple uranyl peroxides.  

The figure below shows the structures of three uranyl clusters, where some atoms may be obscured, and the overall structure may be charged or neutral, with uranium in the +6 oxidation state.  

<MultiModal>![The figure illustrates the structural diagrams of three uranyl cluster anions, with oxygen atoms at the vertices and uranium atoms at the centers. The red edges represent peroxide ions, and the black vertices are oxygen atoms.](/media/uploads/6dc16912-1275-4f0d-b109-d842a99e4dcf.jpg)</MultiModal>  

If the oligomerization pattern is the same as these three, provide the general formula for the n-mer.
过氧化铀酰笼团簇通常溶于水。在此，研究了过氧化氢浓度相对于 $UO_2$ 的溶解作用。较低的初始 $H_2O_2$ 浓度会降低 $UO_2$ 的溶解，并倾向于生成简单的过氧化铀酰。

下图示出三种铀酰簇的结构，其中可能有原子被遮挡，整体可能带电荷或显中性，铀的价态为+6价。

<MultiModal>![该图为三种铀酰簇阴离子的结构示意图，顶点为氧原子，中心为铀原子。其中红色棱为过氧根离子，黑色顶点为氧原子。](/media/uploads/6dc16912-1275-4f0d-b109-d842a99e4dcf.jpg)</MultiModal>

如果多聚体的模式与这三种相同，请给出n聚体的通式。
$[(UO_2)_nO_{3n}]^{4n-}$
$[(UO_2)_n(O_2)_{4n}]^{6n-}$
$[(UO_2)_n(O_2)_{3n}]^{4n-}$
$[(UO_2)_n(O_2)_{2n}]^{2n-}$
$[(UO_2)_{2n}(O_2)_{5n}]^{6n-}$
$[(UO_2)_{2n}(O_2)_{n}]^{2n+}$
$[(UO_2)_nO_{3n}]^{4n-}$
$[(UO_2)_n(O_2)_{4n}]^{6n-}$
$[(UO_2)_n(O_2)_{3n}]^{4n-}$
$[(UO_2)_n(O_2)_{2n}]^{2n-}$
$[(UO_2)_{2n}(O_2)_{5n}]^{6n-}$
$[(UO_2)_{2n}(O_2)_{n}]^{2n+}$
The uranyl ion is $[UO_2]^{2+}$. Since hydrogen peroxide is added to the solution, the coordination mode involves $[O_2]^{2-}$ coordinating to the uranium atom.  

From the observed structure, each uranium atom bonds with three $[O_2]^{2-}$ ligands, including two bridging ligands and one terminal ligand.  

<Checkpoint>[Each uranium atom bonds with three $[O_2]^{2-}$ ligands, including two bridging ligands and one terminal ligand](1)</Checkpoint>  

Because it is a uranyl cluster, each uranium atom also bonds with two $O^{2-}$ ligands.  

<Checkpoint>[Each uranium atom also bonds with two $O^{2-}$ ligands](1)</Checkpoint>  

Therefore, the general formula is $[(UO_2)_n(O_2)_{2n}]^{2n-}$, and the correct choice is D.  

<Checkpoint>[The general formula is $[(UO_2)_n(O_2)_{2n}]^{2n-}$, and the correct choice is D](1)</Checkpoint>
铀酰为$[UO_2]^{2+}$，溶液中加入过氧化氢，所以配位方式为$[O_2]^{2-}$对铀原子进行配位。

观察结构，每个铀原子与三个$[O_2]^{2-}$成键，包含两个桥连配体和一个端基配体。

<Checkpoint>[每个铀原子与三个$[O_2]^{2-}$成键，包含两个桥连配体和一个端基配体](1)</Checkpoint>

因为是铀酰簇，所以每个铀原子还与两个$O^{2-}$成键。

<Checkpoint>[每个铀原子还与两个$O^{2-}$成键](1)</Checkpoint>

因此，通式为$[(UO_2)_n(O_2)_{2n}]^{2n-}$，选择D。

<Checkpoint>[通式为$[(UO_2)_n(O_2)_{2n}]^{2n-}$，选择D](1)</Checkpoint>