Can you explain the principles and applications of organic chemistry, including the structure and reactivity of hydrocarbons, functional groups, and synthetic methods?
**Organic Chemistry** is the study of carbon-containing compounds and their reactions. Organic chemistry is a diverse and complex field that plays an integral role in our daily lives, from the fuels we use, the plastics we make, to the medicines we take. It is a subject of endless possibilities, and its understanding is key to many scientific breakthroughs.

Carbon atoms have a unique ability to form strong covalent bonds with each other and with other elements, which allow the creation of a vast array of complex molecules. This property, coupled with the fact that carbon atoms can form stable structures at standard temperatures and pressures, makes organic chemistry a crucial part of life as we know it.

##### 1. Structure and Reactivity of Hydrocarbons

**Hydrocarbons** are compounds that consist only of carbon (C) and hydrogen (H). They are classified into three main types:

- **Alkanes**: Saturated hydrocarbons with single bonds only. They follow the general formula `CnH2n+2`. Examples are methane (CH4), ethane (C2H6), and propane (C3H8).

- **Alkenes**: Unsaturated hydrocarbons with at least one carbon-carbon double bond. They follow the general formula `CnH2n`. Examples are ethene (C2H4) and propene (C3H6).

- **Alkynes**: Unsaturated hydrocarbons with at least one carbon-carbon triple bond. They follow the general formula `CnH2n-2`. An example is ethyne (C2H2).

###### Reactivity

- **Alkanes** are generally unreactive due to the strength of the C-C and C-H bonds. However, they can undergo combustion and substitution reactions.
- **Alkenes** and **Alkynes** are more reactive than alkanes because of the presence of pi bonds, which can readily undergo addition reactions.

##### 2. Functional Groups

**Functional groups** are specific groupings of atoms within molecules that have their own characteristic properties, regardless of the other atoms present in the molecule. They define the chemical behavior of the compound. Here are a few examples:

| Functional Group | Name | Example |  
| --- | --- | --- |  
| -OH | Hydroxyl | Ethanol (C2H5OH) |
| -NH2 | Amino | Ethylamine (C2H5NH2) |
| -COOH | Carboxyl | Ethanoic Acid (CH3COOH) |
| -CHO | Aldehyde | Ethanal (CH3CHO) |
| -CO- | Ketone | Propanone (CH3COCH3) |

##### 3. Synthetic Methods

Organic chemistry also involves the synthesis or creation of new organic compounds. Here are some key synthetic reactions:

- **Addition reactions**: Involve adding atoms or groups of atoms to a molecule. These are common in alkenes and alkynes.

- **Substitution reactions**: Involve replacing one or more atoms in a molecule. These are common in alkanes and aromatic compounds.

- **Elimination reactions**: Involve the removal of atoms or groups of atoms from a molecule, typically resulting in a pi bond. 

- **Condensation reactions**: Two molecules combine with the loss of a small molecule, often water.

- **Redox reactions**: Involve the transfer of electrons between molecules, changing their oxidation states.

These reactions are often used in concert to build complex molecules in a process known as **total synthesis**. This is a cornerstone of medicinal chemistry, where new drugs are designed and synthesized.