Cell notation

Cell notation or cell representation in chemistry is a shorthand method of expressing a reaction in an electrochemical cell. 
In cell notation, the two half-cells are described by writing the formula of each individual chemical species involved in the redox reaction across the cell, with all other common ions and inert substances being ignored. Each species is separated by a vertical bar, with the species in each half-cell grouped together, and the two half-cells separated by two bars or slashes representing a salt bridge (which generally contains an electrolyte solution such as possasium nitrate or sodium chloride that is left unwritten). It is common practice to represent the anode to the left of the double bar and the cathode to the right, and to put aqueous species closest to the double bar. 
Cell notation may be used to represent other information that is not essential to the reaction but still useful to include. For example, the electrode's species may be marked by a degree symbol. The standard abbreviations for the phases of each species are often included as subscripts, in a manner similar to the notation in chemical equations. Sometimes, the initial concentrations of dissolved species may be written to the right in parentheses (see example below). 
Some examples of this notation are:
This means that the left electrode (anode) is made of zinc, while the other one (right, cathode) is composed of a silver wire covered by a silver chloride layer which is not soluble. Both of the electrodes are immersed into aqueous media where zinc and chloride ions are present.
This cell is very famous: the Daniell cell. If the electrodes are connected, a spontaneous reaction takes place. Zinc is oxidized, and copper ions are reduced.
Sometimes the state of each species into the cell is written. For example, in the zinc cell (shown above), we can write that zinc, silver and silver chloride are solids, while zinc cation and chloride anion are in aqueous medium. So, the new notation will be:
It is possible to express the ion concentration too. For example, in the Galvanic cell:
In this case, all ions (sulfate, zinc and copper) are in a concentration equal to 1 mol/L.