Biochemistry, as the name implies, is concerned with the chemistry of life. The chemistry part is mostly organic chemistry and organic chemistry is mostly about pushing electrons.
Covalent bonds are formed when the nuclei of two atoms share a pair of electrons. The "bond" is actually a cloud of electrons orbiting the two nuclei. The atoms are held together because neither one is stable without the shared electrons. The reactions in organic chemistry and biochemistry can be thought of as simple rearrangements of electrons to form new covalent bonds and break apart old ones. In this sense it's all about pushing electrons from one location to another.
The best way to think about covalent bonds is to visualize the electrons in the other shell of atoms. Those are the ones that participated in bonding. The outer shell electrons are often referred to as the valence electrons. The first shell of electrons can only hold two electrons. Hydrogen atoms have a single electron so in order to form a stable compound they have to combine with something that supplies an electron that can be shared. The simplest of these compounds is a molecule of hydrogen (H2).
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The inner electron shell can only hold two electrons but all other shells can accommodate eight electrons. The atomic number of oxygen is 8, which means that it has two electrons in the inner shell and only six in the outer shell. It needs to combine with two other atoms in order to get enough electrons to fill the outer shell.
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Sometimes atoms can share more than a pair of electrons. For example, when two atoms of oxygen combine to form the oxygen molecule (O2) there are four electrons shared between the two atoms. This results in a double bond between them.
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Biochemical reactions are a lot more complicated but once you understand the concept of electron pushing it becomes relatively easy to make sense of the reaction mechanisms seen in textbooks. The only additional information you need is the knowledge that some atoms can carry an extra electron and this makes them a negatively charged ion (e.g., — O-). Some stable atoms are missing an electron in their outer shell so this makes them a positively charged ion (e.g., — N+).
In many cases a proton (H+) is released from a compound leaving its electron behind. This proton has to combine with an atom that already has a pair of electrons in its outer shell (e.g., a base B:). Here's an example of the reaction mechanism for aldolase, one of the enzymes in the gluconeogenesis/glycolysis pathway.
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A basic residue in the protein (B) removes a proton from the -OH (hydroxyl) group to form a B-H covalent bond. This leaves an additional electron on the oxygen and it combines with one left on C4 to from a double bond. The red arrows show the movement of electrons in these reaction mechanisms.
The key point here is that biochemical reactions are just like those of all chemical reactions. They involve the movement of electrons to break and form covalent bonds.
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