Polymer $\mathrm{A}$ can be synthesized from ethylene oxide and maleic anhydride in 1 hour at room temperature under the action of catalysts $\mathrm{salcyCo^{III}NO_3}$ and $\mathrm {PPN-NO_3}$.

$\mathrm{A}$ undergoes condition $\mathrm{X}$ to obtain $\mathrm{B}$.

$\mathrm{B}$ undergoes condition $\mathrm{Y}$ to obtain $\mathrm{C}$; $\mathrm{C}$ undergoes condition $\mathrm{X}$ to obtain $\mathrm{B}$.

It is known that the following figure shows the differential scanning calorimetry test data of one of $\mathrm{A, B, C}$. Condition $\mathrm{X}$ and condition $\mathrm{Y}$ are selected from (a) reaction with $10\%$ benzophenone at room temperature under $\mathrm{365~nm}$ light for 5 hours; (b) reaction with $10\%$ $\mathrm{Et_2NH}$ at room temperature for 16 hours.

There are the following statements:

1.  The nuclear magnetic resonance hydrogen spectrum of $\mathrm{B}$ has 3 peaks (excluding solvent peaks and impurity peaks such as reference substance peaks).

2.  The role of benzophenone is to initiate interchain crosslinking of the polymer.

3.  Condition $\mathrm{X}$ is (a), and condition $\mathrm{Y}$ is (b).

4.  The following figure is the differential scanning calorimetry test data of $\mathrm{B}$.

<MultiModal>![The image is a scientific line graph showing a red curve. The horizontal axis is labeled "Temperature ($^\circ C$)" with values ranging from 0 to 150, with major ticks at 0, 30, 60, 90, 120, 150, and smaller ticks in between. The vertical axis is unlabeled and does not display any values. The red curve is roughly flat in the left half of the image, then exhibits a significant, sharp, upward peak at approximately $120^\circ C$. After the peak, the curve rapidly declines and flattens out again. There is no other text or legends on the image other than the axis labels and values.](/media/uploads/093ea7d3-8651-418c-9a38-0dfe30ae02b9.png)</MultiModal>

What is the sum of the numbers of all correct statements?
以环氧乙烷和马来酸酐为原料，在催化剂 $\mathrm{salcyCo^{III}NO_3}$ 和 $\mathrm {PPN-NO_3}$ 的作用下常温下反应1小时可合成聚合物 $\mathrm{A}$。

$\mathrm{A}$ 经历条件 $\mathrm{X}$ 得到 $\mathrm{B}$。

$\mathrm{B}$ 经历条件 $\mathrm{Y}$ 得到 $\mathrm{C}$；$\mathrm{C}$ 经历条件 $\mathrm{X}$ 得到 $\mathrm{B}$。

已知，下图展示了 $\mathrm{A,B,C}$ 中一者的差示扫描量热测试数据。条件 $\mathrm{X}$ 和条件 $\mathrm{Y}$ 在 (a) 在 $\mathrm{365~nm}$ 光照下与 $10\%$ 二苯甲酮在室温反应5小时；(b) 与 $10\%$ 的$\mathrm{Et_2NH}$在常温反应16小时 当中选择。

有如下说法

1. $\mathrm{B}$ 的核磁共振氢谱有3个峰（不含溶剂峰和基准物质峰等杂峰）。

2. 二苯甲酮的作用是引发聚合物链间交联。

3. 条件 $\mathrm{X}$ 是 (a)，条件 $\mathrm{Y}$ 是 (b)。

4. 下图是 $\mathrm{B}$ 的差示扫描量热测试数据。

<MultiModal>![该图像是一个科学线图，展示了一条红色的曲线。水平轴的标签是“Temperature ($^\circ C$)”，其数值范围从0到150，主要刻度位于0, 30, 60, 90, 120, 150处，其间还有较小的刻度线。垂直轴没有标签，也没有显示任何数值。红色的曲线在图像的左半部分大致保持平坦，然后在大约$120^\circ C$处出现一个显著的、尖锐的、向上的峰值。峰值过后，曲线迅速下降并再次趋于平坦。图像上除了轴标签和数值外，没有其他文字或图例。](/media/uploads/093ea7d3-8651-418c-9a38-0dfe30ae02b9.png)</MultiModal>

所有正确说法编号之和为多少？
1
2
4
5
6
7
9
All of the above options are incorrect.
1
2
4
5
6
7
9
以上选项均不对
Cyclic anhydrides and ethylene oxide are very reactive. $\mathrm{A}$ is the product of their ring-opening polymerization, i.e.,
<MultiModal>![polymer, the repeating unit is O=[C]/C=C\C(OCC[O])=O, with unknown end groups.](/media/uploads/91b41e7c-df81-4ec4-a95d-8c34b3d0bae9.png)</MultiModal>

All carbon-carbon double bonds in $\mathrm{A}$ are cis.

<Checkpoint>[All carbon-carbon double bonds in $\mathrm{A}$ are cis.](1)</Checkpoint>

Analyze the reaction caused by photochemical conditions: If it is interchain crosslinking, its irreversibility does not match the interconversion of $\mathrm{B}$ and $\mathrm{C}$, which is excluded. Another possibility is the cis-trans isomerization of carbon-carbon double bonds. Trans carbon-carbon double bonds are more stable than cis carbon-carbon double bonds due to smaller steric hindrance. Condition (b) is the reversible 1,4-addition of amine to unsaturated ester, which can realize the conversion of carbon-carbon double bonds from cis to trans (more stable). Therefore, condition $\mathrm{X}$ is (b), and condition $\mathrm{Y}$ is (a), (a) leads to the conversion of trans olefins to cis olefins. Statement 3 is incorrect.

<Checkpoint>[The irreversibility of interchain crosslinking does not match the interconversion of $\mathrm{B}$ and $\mathrm{C}$, which is excluded.](1)</Checkpoint>

<Checkpoint>[Condition $\mathrm{X}$ is (b), and condition $\mathrm{Y}$ is (a).](1)</Checkpoint>

It is inferred that all carbon-carbon double bonds in $\mathrm{B}$ are trans, and the carbon-carbon double bonds in $\mathrm{C}$ are a mixture of cis and trans.

<Checkpoint>[All carbon-carbon double bonds in $\mathrm{B}$ are trans.](1)</Checkpoint>

<Checkpoint>[The carbon-carbon double bonds in $\mathrm{C}$ are a mixture of cis and trans.](1)</Checkpoint>

$\mathrm{B}$ has 2 kinds of hydrogen in different chemical environments, and there are 2 peaks in the nuclear magnetic resonance hydrogen spectrum. Statement 1 is incorrect.

<Checkpoint>[The nuclear magnetic resonance hydrogen spectrum of $\mathrm{B}$ has 2 peaks.](1)</Checkpoint>

Benzophenone is a photosensitizer, which easily absorbs ultraviolet light to reach the triplet excited state, and then transfers the triplet energy to the carbon-carbon double bond, catalyzing trans-cis isomerization. Statement 2 is incorrect.

<Checkpoint>[Benzophenone is a photosensitizer, transfers energy to the carbon-carbon double bond, and catalyzes trans-cis isomerization.](1)</Checkpoint>

The substance with differential scanning calorimetry data in the figure has a clear melting point and is crystalline. The carbon-carbon double bonds in polymer $\mathrm{B}$ are all in the trans configuration, and the polymer chains can be regularly and closely arranged to form a highly ordered crystal lattice. The double bonds of polymer $\mathrm{A}$ are all in the cis configuration, and the regularity of arrangement is worse than that of trans. Polymer $\mathrm{C}$ is randomly arranged in cis and trans, and the regularity of the chain is poor, so statement 4 is correct.

<Checkpoint>[The carbon-carbon double bonds in $\mathrm{B}$ are all in the trans configuration, and the polymer chains can be regularly and closely arranged to form a highly ordered crystal lattice.](0.5)</Checkpoint>

<Checkpoint>[The regularity of $\mathrm{A}$ and $\mathrm{C}$ chains is poor, neither is crystalline, and there is no clear melting point.](0.5)</Checkpoint>

In summary, the correct statement number is 4, select option C.
环状酸酐和环氧乙烷非常活泼，$\mathrm{A}$ 为二者开环聚合的产物，即
<MultiModal>![聚合物，重复单元为O=[C]/C=C\C(OCC[O])=O，端基不明](/media/uploads/91b41e7c-df81-4ec4-a95d-8c34b3d0bae9.png)</MultiModal>

$\mathrm{A}$ 中碳碳双键全为顺式。

<Checkpoint>[$\mathrm{A}$ 中碳碳双键全为顺式。](1)</Checkpoint>

分析光化学条件导致的反应：若为链间交联，其不可逆性与 $\mathrm{B}$ 和 $\mathrm{C}$ 的相互转化不匹配，排除。另一种可能是碳碳双键的顺反转化。反式碳碳双键由于位阻更小，比顺式碳碳双键更稳定。条件(b)是胺对不饱和酯的可逆1,4-进攻，可以实现碳碳双键由顺到反（更稳定）的转化，所以条件 $\mathrm{X}$ 是(b)，条件 $\mathrm{Y}$ 则是(a)，(a)导致反式烯烃到顺式烯烃的转化。说法3错误。

<Checkpoint>[链间交联的不可逆性与 $\mathrm{B}$ 和 $\mathrm{C}$ 的相互转化不匹配，排除。](1)</Checkpoint>

<Checkpoint>[条件 $\mathrm{X}$ 是(b)，条件 $\mathrm{Y}$ 是(a)。](1)</Checkpoint>

由此推断 $\mathrm{B}$ 中碳碳双键全为反式， $\mathrm{C}$ 中碳碳双键是顺式和反式的混合。

<Checkpoint>[$\mathrm{B}$ 中碳碳双键全为反式。](1)</Checkpoint>

<Checkpoint>[$\mathrm{C}$ 中碳碳双键是顺式和反式的混合。](1)</Checkpoint>

$\mathrm{B}$ 有2种不同化学环境的氢，核磁氢谱有2个峰，说法1错误。

<Checkpoint>[$\mathrm{B}$ 的核磁氢谱有2个峰。](1)</Checkpoint>

二苯甲酮为光敏剂，易吸收紫外光激发到达三重激发态，进而传递三重态能量到碳碳双键，催化反式-顺式异构化。说法2错误。

<Checkpoint>[二苯甲酮为光敏剂，传递能量到碳碳双键，催化反式-顺式异构化。](1)</Checkpoint>

得到图中差示扫描量热测试数据的物质有明确熔点，有结晶性。聚合物 $\mathrm{B}$ 中碳碳双键为全反式构型，高分子链可以规整紧密排列，形成高度有序的晶格。聚合物 $\mathrm{A}$ 的双键为全顺式构型，排列规整性较反式差，聚合物 $\mathrm{C}$ 为顺式和反式无规排列的，链的规整性差，故说法4正确。

<Checkpoint>[$\mathrm{B}$ 中碳碳双键为全反式构型，高分子链可以规整紧密排列，形成高度有序的晶格。](0.5)</Checkpoint>

<Checkpoint>[$\mathrm{A}$ 和 $\mathrm{C}$ 链的规整性差，均不结晶，没有明确熔点。](0.5)</Checkpoint>

综上所述，正确说法编号为4，选C选项。