Every cell has the same four jobs. The negative electrode gives up electrons: it is a good reducing agent, such as lithium, zinc or lead. The positive electrode takes them: an electron acceptor, such as lithium cobalt oxide, manganese dioxide or lead oxide.1 The electrolyte “provides pure ionic conductivity” between the two: it lets ions through and blocks electrons.1
The separator is a porous barrier, permeable to ions and inert in the cell, that keeps the electrodes from touching.1 If they touched, the whole stored energy would be released as heat inside the cell.1
Anode or cathode? You will meet both words, and they name a reaction, not a piece of metal: the anode is the electrode where oxidation releases electrons into the external circuit, the cathode the electrode where reduction takes them back.1 On discharge the negative electrode is oxidized and the positive electrode is reduced, so the negative electrode is the anode and the positive electrode the cathode; that is the battery convention.1 On charge the charger drives the current the other way:1 electrons are pushed into the negative electrode, which is now reduced, and pulled out of the positive electrode, which is now oxidized, so by the reaction definition the names swap, and the graphite that was the anode while you used the phone is the cathode while it charges. The metals stay where they are and keep their signs; only the labels move. To avoid the confusion this page says negative electrode and positive electrode from here on.
In the coin cell above, graphite sits on copper foil and the lithium host on aluminium, exactly as in the first commercial lithium-ion cell.2 Each foil is a current collector: a metal path for the electrons between the coating and the terminal.2 The electrolyte is a liquid, added drop by drop during assembly: in Murray, Hall and Dahn’s research cells, about 38 mg of a 1 mol/L solution of LiPF6 in a carbonate solvent, enough to soak the separator and wet both electrodes.3
New positive-electrode materials are usually tested in a “half cell” against a piece of lithium foil; such cells are easy to make but can fail to predict how the material behaves against graphite in a full cell, which is why full coin cells like this one are built.3
Every part has one job, and the electrolyte’s job is to let ions through and block electrons.