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To determine the structure of a compound with the molecular formula C13H15BrO3 using the given ppm (parts per million) values, you can use proton nuclear magnetic resonance spectroscopy (1H NMR). By analyzing the chemical shifts of the hydrogen (H) atoms in the molecule, you can infer the types and positions of different hydrogen atoms within the compound.

Here's how you can approach the problem:

  1. Identify the total number of hydrogen atoms (H) in the molecular formula. In this case, the molecular formula C13H15BrO3 indicates that there are 15 hydrogen atoms.

  2. Examine the given ppm values and compare them to typical chemical shift ranges for different hydrogen environments. Keep in mind that chemical shifts are affected by neighboring atoms and functional groups. Use the given ppm values to match with the expected shifts for various proton environments.

  3. Start by analyzing the ppm value of the highest chemical shift, which is Hg at 11.0 ppm. This high value suggests a hydrogen atom attached to an electron-withdrawing group or a hydrogen located near a functional group like a carbonyl (C=O) group.

  4. Identify the next highest chemical shift value, which is Hf at 7.29 ppm. This value indicates a hydrogen atom near an aromatic group, such as a benzene ring.

  5. Continue analyzing the ppm values in descending order to determine the remaining hydrogen environments. Look for specific shifts that correspond to specific types of hydrogen atoms.

  6. Based on the given ppm values, you can make the following tentative assignments:

    • Hg (11.0 ppm): Hydrogen near a carbonyl group or an electron-withdrawing group.
    • Hf (7.29 ppm): Hydrogen near an aromatic group.
    • He (4.21 ppm): Hydrogen in a different environment.
    • Hd (4.04 ppm): Hydrogen in a different environment.
    • Hc (3.40 ppm): Hydrogen in a different environment.
    • Hb (1.79 ppm): Hydrogen in a different environment.
    • Ha (0.85 ppm): Hydrogen in a different environment.
  7. To account for all 15 hydrogen atoms, you can distribute the remaining hydrogen atoms in the different environments you identified in step 6. The total number of hydrogens in each environment should add up to 15.

  8. Finally, considering the molecular formula C13H15BrO3, you can deduce that the remaining hydrogens are likely bonded to carbon atoms and not directly involved in the given ppm values.

Keep in mind that this is an iterative process, and additional information, such as coupling patterns and integration values, would provide further insight into the structure. It's important to note that without additional data or constraints, it might not be possible to uniquely determine the exact structure of the compound solely based on the given ppm values.

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