<MultiModal>![C[C@H]1[C@@H](C)CCCC1>[DMDO]>[A], where A is the reaction product with a rate constant of $k_1$](/media/uploads/af2c8537-739c-4a12-9e27-c0ace648a9b0.png)</MultiModal>  

<MultiModal>![C[C@H]1[C@H](C)CCCC1>[DMDO]>[B], where B is the reaction product with a rate constant of $k_2$](/media/uploads/e55b25df-5036-4a59-b078-1121fa695a73.png)</MultiModal>  

Ignoring enantiomers, provide the structural formulas of products A and B, respectively, and predict the relative magnitudes of $k_1$ and $k_2$.
<MultiModal>![C[C@H]1[C@@H](C)CCCC1>[DMDO]>[A],A为反应产物，反应速率常数为$k_1$](/media/uploads/af2c8537-739c-4a12-9e27-c0ace648a9b0.png)</MultiModal>

<MultiModal>![C[C@H]1[C@H](C)CCCC1>[DMDO]>[B],B为反应产物，反应速率常数为$k_2$](/media/uploads/e55b25df-5036-4a59-b078-1121fa695a73.png)</MultiModal>

不考虑对映异构的情况下，试分别给出产物A、B的结构式，并预测$k_1$和$k_2$的相对大小
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

Product B

$k_1$>$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

Product B

$k_1$<$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

Product A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product B

$k_1$>$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

Product A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product B

$k_1$<$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>  

Product A  

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>  

Product B  

$k_1$ > $k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

Product A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

Product B

$k_1$<$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product B

$k_1$>$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

Product B

$k_1$<$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物B

$k_1$>$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物B

$k_1$<$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物B

$k_1$>$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物B

$k_1$<$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物B

$k_1$>$k_2$
<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物A

<MultiModal>![C[C@]1(O)[C@H](C)CCCC1](/media/uploads/cec9facb-4952-4888-92af-5edb14fd0533.png)</MultiModal>

产物B

$k_1$<$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物B

$k_1$>$k_2$
<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物A

<MultiModal>![C[C@@]1(O)[C@H](C)CCCC1](/media/uploads/d698992b-49f5-4688-92ee-2dbc95f23d22.png)</MultiModal>

产物B

$k_1$<$k_2$
The stereoselectivity of this radical reaction is entirely kinetically controlled.

<Checkpoint>[The stereoselectivity of this radical reaction is entirely kinetically controlled](1)</Checkpoint>

The reaction first involves hydrogen abstraction by the peroxide, forming a tertiary carbon radical.

<Checkpoint>[The reaction first involves hydrogen abstraction by the peroxide, forming a tertiary carbon radical](1)</Checkpoint>

<MultiModal>![CC1[C](C)CCCC1](/media/uploads/5a781ce2-ec77-409b-88d5-841882b4f40a.png)</MultiModal>

Due to the presence of tight radical pairs, the conformation remains unchanged before and after the reaction.

<Checkpoint>[Due to the presence of tight radical pairs, the conformation remains unchanged before and after the reaction](1)</Checkpoint>

For cis-1,2-dimethylcyclohexane, after hydrogen abstraction, the 1,3-diaxial strain between the axial methyl group and axial hydrogen is relieved, resulting in lower activation energy and faster reaction rate.

<Checkpoint>[For cis-1,2-dimethylcyclohexane, after hydrogen abstraction, the 1,3-diaxial strain between the axial methyl group and axial hydrogen is relieved, resulting in lower activation energy and faster reaction rate](1)</Checkpoint>

<MultiModal>![[H]C1CC([H])C[C@](C)([H])[C@H]1C](/media/uploads/009324f9-5a4e-43c0-a8f2-80ed2590780a.png)</MultiModal>
该自由基反应的立体选择性是完全动力学控制的

<Checkpoint>[该自由基反应的立体选择性是完全动力学控制的](1)</Checkpoint>

反应首先发生过氧化物对氢的攫取，形成三级碳自由基

<Checkpoint>[反应首先发生过氧化物对氢的攫取，形成三级碳自由基](1)</Checkpoint>

<MultiModal>![CC1[C](C)CCCC1](/media/uploads/5a781ce2-ec77-409b-88d5-841882b4f40a.png)</MultiModal>

由于存在紧密自由基对，因此反应前后构象保持不变

<Checkpoint>[由于存在紧密自由基对，因此反应前后构象保持不变](1)</Checkpoint>

对顺式的 1,2-二甲基环己烷, 氢原子被攫取后释放了位于直立键的甲基与直立氢的
1,3 直立张力, 反应活化能更低, 反应速率更快

<Checkpoint>[对顺式的 1,2-二甲基环己烷, 氢原子被攫取后释放了位于直立键的甲基与直立氢的 1,3 直立张力, 反应活化能更低, 反应速率更快](1)</Checkpoint>

<MultiModal>![[H]C1CC([H])C[C@](C)([H])[C@H]1C](/media/uploads/009324f9-5a4e-43c0-a8f2-80ed2590780a.png)</MultiModal>