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Ch. 15 - Structural Identification II: Nuclear Magnetic Resonance Spectroscopy
Mullins - Organic Chemistry: A Learner Centered Approach 1st Edition
Mullins1st EditionOrganic Chemistry: A Learner Centered ApproachISBN: 9780137566471Not the one you use?Change textbook
Chapter 14, Problem 9

Calculate the index of hydrogen deficiency for curacin A, which has a molecular formula of C23H35NOS .

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Step 1: Understand the concept of the Index of Hydrogen Deficiency (IHD). The IHD, also known as the degree of unsaturation, indicates the number of rings, double bonds, or triple bonds in a molecule. It is calculated using the molecular formula and accounts for the presence of heteroatoms like oxygen, nitrogen, and sulfur.
Step 2: Use the general formula for IHD: IHD = (2C + 2 - H + N - X) / 2, where C is the number of carbons, H is the number of hydrogens, N is the number of nitrogens, and X is the number of halogens. Oxygen and sulfur do not affect the IHD calculation and are ignored in this formula.
Step 3: Substitute the values from the molecular formula of curacin A (C₂₃H₃₅NOS) into the formula. Here, C = 23, H = 35, N = 1, and there are no halogens (X = 0).
Step 4: Perform the calculation step-by-step. First, calculate the numerator: (2 × 23) + 2 - 35 + 1. Then divide the result by 2 to determine the IHD.
Step 5: Interpret the result. The IHD value represents the total number of rings and/or π-bonds in the structure of curacin A. This information can help deduce structural features of the molecule.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Index of Hydrogen Deficiency (IHD)

The Index of Hydrogen Deficiency (IHD) is a measure of the degree of unsaturation in a molecule, indicating the number of rings and/or multiple bonds present. It is calculated using the formula IHD = (2C + 2 + N - H - X) / 2, where C is the number of carbons, N is the number of nitrogens, H is the number of hydrogens, and X is the number of halogens. A higher IHD value suggests more unsaturation, which can affect the molecule's reactivity and stability.
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Molecular Formula Interpretation

A molecular formula provides the number and types of atoms in a molecule, which is essential for calculating the IHD. In the case of curacin A, the formula C₂₃H₃₅NOS indicates the presence of 23 carbon atoms, 35 hydrogen atoms, one nitrogen atom, one oxygen atom, and one sulfur atom. Understanding how to interpret this formula is crucial for applying the IHD calculation correctly.
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Unsaturation and Its Implications

Unsaturation refers to the presence of double bonds or rings in a molecule, which can significantly influence its chemical properties and reactivity. Each degree of unsaturation typically corresponds to a double bond or a ring structure. Recognizing the implications of unsaturation is vital for predicting how a molecule like curacin A will behave in chemical reactions, as well as its physical properties.
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