Objectives
After completing this section, you should be able to
- write an equation to represent the oxidation of an alcohol.
- identify the reagents that may be used to oxidize a given alcohol.
- identify the specific reagent that is used to oxidize primary alcohols to aldehydes rather than to carboxylic acids.
- identify the product formed from the oxidation of a given alcohol with a specified oxidizing agent.
- identify the alcohol needed to prepare a given aldehyde, ketone or carboxylic acid by simple oxidation.
- write a mechanism for the oxidation of an alcohol using a chromium(VI) reagent.
Study Notes
The reading mentions that pyridinium chlorochromate (PCC) is a milder version of chromic acid that is suitable for converting a primary alcohol into an aldehyde without oxidizing it all the way to a carboxylic acid. This reagent is being replaced in laboratories by Dess‑Martin periodinane (DMP), which has several practical advantages over PCC, such as producing higher yields and requiring less rigorous reaction conditions. DMP is named after Daniel Dess and James Martin, who developed it in 1983.
![Bond line drawing of Dess–Martin periodinane](https://chem.libretexts.org/@api/deki/files/106340/17-7.png?revision=2)
Oxidation States of Carbon
The general idea of oxidation and reduction reactions learned in general chemistry is that when a compound or atom is oxidized it loses electrons, and when it is reduced it gains electrons. In order, to keep track of electrons in organic molecules a oxidation state formalism is used. Oxidation states to not represent the actual charge but it will allow the number of electrons being gained or lost by a particular atom during a reaction.
To calculate the oxidation state of a carbon atom the following rules are used:
- A C-C bond does not affect the oxidation state of a carbon. So a carbon attached to 4 carbons has an oxidation state of zero.
- Every C-H bond will decrease the oxidation state of the carbon by 1.
- Each C-X bond will increase the oxidation state of the carbon by 1. Where X is an electronegative, such as nitrogen, oxygen, sulfur, or a halogen.
When looking at the oxidation states of carbon in the common functional groups shown below it can be said that carbon loses electron density as it becomes more oxidized.
![Oxidaton States.svg](https://chem.libretexts.org/@api/deki/files/363936/Oxidaton_States.svg?revision=1&size=bestfit&width=944&height=201)
For this section, a simpler way to consider this process is to say that when a carbon atom in an organic compound loses a bond to hydrogen and gains a new bond to a oxygen it has been oxidized. A very commonly example is the oxidation of an alcohol to a ketone or aldehyde. Notice that during this process the carbon atom loses a hydrogen and gains a bond to oxygen.
![image006.png](https://chem.libretexts.org/@api/deki/files/3924/image005.png?revision=1)
Oxidation of Alcohols
On of the most important reactions of alcohols is their oxidation to carbonyl containing compounds such as aldehyde, ketones, and carboxylic acid. Typically primary alcohols, depending on the reagent used, produce aldehydes or carboxylic acids during oxidations. Secondary alcohols are oxidized to produce ketones, and tertiary alcohols are usually not affected by oxidations.
![oxidation_of_alcohol_classificaitons.svg](https://chem.libretexts.org/@api/deki/files/400348/oxidation_of_alcohol_classificaitons.svg?revision=1)
Alcohol Oxidizing Agents
Oxidation and reduction reactions always occurs in tandem: when one compound is oxidized, another compound must be reduced. For an alcohol to be oxidized in a reaction there must also be a compound being reduced. This reduced compound is also called the oxidizing agent. For example, chromium trioxide (CrO3) is a common oxidizing agent used by organic chemists to oxidize a secondary alcohol to a ketone. During this reaction CrO3 is being reduced to form H2CrO3. A common method for oxidizing secondary alcohols to ketones uses chromic acid (H2CrO4) as the oxidizing agent. Chromic acid, also known as Jones reagent, is prepared by adding chromium trioxide (CrO3) to aqueous sulfuric acid.
![clipboard_e139fbcca9fb5d6618fec1e334c9717f1.png](https://chem.libretexts.org/@api/deki/files/363888/clipboard_e139fbcca9fb5d6618fec1e334c9717f1.png?revision=1)
There is a wide selection of oxidizing agents available for use in the organic chemistry laboratory, each with its own particular properties and uses. In addition to CrO3, other commonly used oxidizing agents include potassium permanganate (KMnO4) and sodium dichromate (Na2Cr2O7). Any of these reagents can be used to oxidize secondary alcohols to form ketones and primary alcohols to form carboxylic acids. Tertiary alcohols remain unreactive to oxidation.
General Reactions
![Generic 2o alcohol oxidation to ketone.svg](https://chem.libretexts.org/@api/deki/files/363943/Generic_2o_alcohol_oxidation_to_ketone.svg?revision=1&size=bestfit&width=389&height=150)
![Generic Cr2O7 oxidation.svg](https://chem.libretexts.org/@api/deki/files/363946/Generic_Cr2O7_oxidation.svg?revision=2&size=bestfit&width=449&height=165)
![Generic CrO3 oxidation 3o Alcoholcdx.svg](https://chem.libretexts.org/@api/deki/files/363950/Generic_CrO3_oxidation_3o_Alcoholcdx.svg?revision=1&size=bestfit&width=443&height=153)
Example \(\PageIndex{1}\)
![Example CrO3 oxidation benzyl alcoholl.svg](https://chem.libretexts.org/@api/deki/files/363948/Example_CrO3_oxidation_benzyl_alcoholl.svg?revision=1&size=bestfit&width=443&height=128)
Oxidation of Benzyl Alcohol to Benzoic Acid
![Example Cr2O7 oxidation.svg](https://chem.libretexts.org/@api/deki/files/363947/Example_Cr2O7_oxidation.svg?revision=1&size=bestfit&width=483&height=88)
Oxidation of 2-Pentanol to 2-Pentanone
![Example CrO3 oxidation 3o Alcoholcdx.svg](https://chem.libretexts.org/@api/deki/files/363951/Example_CrO3_oxidation_3o_Alcoholcdx.svg?revision=1&size=bestfit&width=434&height=102)
Mechanism
During this reaction mechanism the chromium atom is being reduced from Cr(VI) in the CrO3 starting material to Cr(IV) in the H2CrO3 product. Also, notice the the C=O bond is formed in the third step of the mechanism through an E2 reaction. Although E2 reaction are generally know for forming C=C double bonds thought the elimination of a halide leaving group, in this case they are use to generate a C=O through the elimination of a reduced metal as a leaving group.
![17.7 jones oxid.png](https://chem.libretexts.org/@api/deki/files/273594/17.7_jones_oxid.png?revision=1)
Examples
Pyridinium chlorochromate (PCC) is a milder version of chromic acid. PCC oxidizes 1o alcohols one rung up the oxidation ladder, turning primary alcohols into aldehydes and secondary alcohols into ketones. Unlike chromic acid, PCC will not oxidize aldehydes to carboxylic acids. Cr(IV) as well as pyridinium chloride are produced as byproducts of this reaction.
![Structure PCC.svg](https://chem.libretexts.org/@api/deki/files/363938/Structure_PCC.svg?revision=1&size=bestfit&width=221&height=144)
Pyridinium chlorochromate (PCC)
General Reactions
![Generic PCC Oxidaiton.svg](https://chem.libretexts.org/@api/deki/files/363939/Generic_PCC_Oxidaiton.svg?revision=2&size=bestfit&width=701&height=162)
![Generic PCC Oxidaiton ketone.svg](https://chem.libretexts.org/@api/deki/files/363949/Generic_PCC_Oxidaiton_ketone.svg?revision=2&size=bestfit&width=740&height=160)
Example \(\PageIndex{2}\)
![Example pcc oxidation.svg](https://chem.libretexts.org/@api/deki/files/363940/Example_pcc_oxidation.svg?revision=1&size=bestfit&width=513&height=86)
Oxidation of 2-Phenylethanol to Phenylacetaldehyde
![Example PCC Oxidaiton ketone.svg](https://chem.libretexts.org/@api/deki/files/363952/Example_PCC_Oxidaiton_ketone.svg?revision=2&size=bestfit&width=351&height=147)
Oxidation of Cyclohexanol to Cyclohexanone
Mechanism
The first step of the mechanism is attack of alcohol oxygen on the chromium atom to form the Cr-O bond. Secondly, a proton on the (now positive) OH is transferred to one of the oxygens of the chromium, possibly through the intermediacy of the pyridinium salt. A chloride ion is then displaced, in a reaction reminiscent of a 1,2 elimination reaction, to form what is known as a chromate ester.
The C-O double bond is formed when a base removes the proton on the carbon adjacent to the oxygen. It is also possible for pyridine to be used as the base here, although only very low concentrations of the deprotonated form will be present under these acidic conditions. In an E2 reaction, the electrons from the C-H bond move to form the C=O bond, and in the process break the O-Cr bond. During this step Cr(VI) gains two electrons to become Cr(IV) (drawn here as O=Cr(OH)2).
![](data:image/png;base64,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)
PCC is being replaced in laboratories by Dess‑Martin periodinane (DMP) in dichloromethane solvent, which has several practical advantages over PCC, such as producing higher yields and requiring less rigorous conditions (lower reaction temperature and a nonacidic medium). DMP is named after Daniel Dess and James Martin, who developed it in 1983.
![Structure DMP.svg](https://chem.libretexts.org/@api/deki/files/363941/Structure_DMP.svg?revision=1&size=bestfit&width=181&height=160)
Dess‑Martin periodinane (DMP)
General Reactions
![Generic DMP oxidation of 1o alcohol.svg](https://chem.libretexts.org/@api/deki/files/363942/Generic_DMP_oxidation_of_1o_alcohol.svg?revision=2&size=bestfit&width=369&height=128)
![Generic DMP oxidation of 1o alcohol.svg](https://chem.libretexts.org/@api/deki/files/363942/Generic_DMP_oxidation_of_1o_alcohol.svg?revision=2&size=bestfit&width=366&height=133)
Example \(\PageIndex{3}\)
![Example oxidaiton of cyclohexanol.svg](https://chem.libretexts.org/@api/deki/files/363945/Example_oxidaiton_of_cyclohexanol.svg?revision=1&size=bestfit&width=356&height=140)
Oxidation of Cyclohexanol to Cyclohexanone
![Example DMP oxidation of 1o alcohol.svg](https://chem.libretexts.org/@api/deki/files/363954/Example_DMP_oxidation_of_1o_alcohol.svg?revision=1&size=bestfit&width=443&height=134)
Oxidation of Benzyl Alcohol to Benzaldehyde
Mechanism
The first step of the mechanism involves the reactant alcohol attacking the Iodine (V) atom and eliminating an acetate (Ac-) leaving group to form a periodinate intermediate. The next step is a concerted E2-like reaction where a hydrogen is removed from the alcohol, the C=O bond is formed, an acetate group is eliminated from the iodine atom, and the iodine (V) atom gains two electrons to be reduced to iodine (III).
![17.7 dess martin mech.svg](https://chem.libretexts.org/@api/deki/files/399174/17.7_dess_martin_mech.svg?revision=1&size=bestfit&width=882&height=302)
Biological Alcohol Oxidations
There are many biological oxidations that convert a primary or secondary alcohol to a carbonyl compound. These reactions cannot possibly involve the extreme pH conditions and vigorous inorganic oxidants used in typical laboratory oxidations. Rather, they occur at nearly neutral pH values and they all require enzymes as catalysts, which for these reactions usually are called dehydrogenases. An important group of biological oxidizing agents includes the pyridine nucleotides, of which nicotinamide adenine dinucleotide (NAD+) is an example. This very complex molecule functions to accept hydride (H:-) or the equivalent (H++ 2e−) from the α carbon of an alcohol. The reduced form of NAD+ is abbreviated as NADH and the H:- is added at the 4-position of the pyridine ring. It is important to note that the hydride adds exclusively to the Re face of the pyridine ring giving NADH a pro-R stereochemistry.
An example of the remarkable specificity of this kind of redox system. One of the last steps in the metabolic breakdown of glucose is the reduction of 2-oxopropanoic (pyruvic) acid to L-2-hydroxypropanoic (lactic) acid. The reverse process is oxidation of L-lactic acid. The enzyme lactic acid dehydrogenase catalyses this reaction, and it functions only with the L-enantiomer of lactic acid. During this reaction a base removes the alcohol hydrogen. The resulting alkoxide ion then forms the C=O bond causing a hydride ion to transfer to NAD+.
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)
![Structure NAD+.svg](https://chem.libretexts.org/@api/deki/files/363973/Structure_NAD%252B.svg?revision=1&size=bestfit&width=680&height=204)
The Structure of NAD+
![clipboard_e0f3a58fffa09cdaa6c7f656f81fc4c9a.png](https://chem.libretexts.org/@api/deki/files/363977/clipboard_e0f3a58fffa09cdaa6c7f656f81fc4c9a.png?revision=1)
From an outside source. Convert mechanism to use lactic acid.
Another example is provided by one of the steps in metabolism by way of the Krebs citric acid cycle, is the oxidation of L-2-hydroxy-butanedioic (L-malic) acid to 2-oxobutanedioic (oxaloacetic) acid. This enzyme functions only with L-malic acid:
![](data:image/png;base64,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)
Exercises
Exercise \(\PageIndex{1}\)
Draw the alcohol that the following ketones/aldehydes would have resulted from if oxidized. What oxidant could be used?
![17_7_1.svg](https://chem.libretexts.org/@api/deki/files/401811/17_7_1.svg?revision=1)
- Answer
- 1)
-
a) Any oxidant capable of oxidizing an alcohol to a ketone would work, such as the Jones reagent (CrO3, H2SO4, H2O), PCC, or Dess-Martin periodinane.
![17_7_1_Answer_a.svg](https://chem.libretexts.org/@api/deki/files/401813/17_7_1_Answer_a.svg?revision=1)
b) Since this is a primary alcohol, there are some precautions necessary to avoid formation of the carboxyllic acid. Milder oxidants such as the Dess-Martin periodinane, and also PCC (there is no water to form the carboxyllic acid) would work
![17_7_1_Answer_b.svg](https://chem.libretexts.org/@api/deki/files/401814/17_7_1_Answer_b.svg?revision=1)
c) Any oxidant capable of oxidizing an alcohol to a ketone would work, such as the Jones reagent (CrO3, H2SO4, H2O), PCC, or Dess-Martin periodinane.
![17_7_1_Answer_c.svg](https://chem.libretexts.org/@api/deki/files/401815/17_7_1_Answer_c.svg?revision=1)
Exercise \(\PageIndex{2}\)
Show the products of the oxidation of 1-propanol and 2-propanol with chromic acid in aqueous solution.
- Answer
-
![17_7_2_Answer.svg](https://chem.libretexts.org/@api/deki/files/401812/17_7_2_Answer.svg?revision=1)
Exercise \(\PageIndex{3}\)
Show the products of the oxidation of 1-propanol and 2-propanol with Dess-Martin periodinane.
- Answer
-
![17_7_3_Answer.svg](https://chem.libretexts.org/@api/deki/files/401816/17_7_3_Answer.svg?revision=1)