The Nernst Equation
by Greg Crowther
Find the concentrations of ions out and in;
Figure out the quotient, and take the log (base 10).
Multiply by a constant like 58 mV;
Divide by ion valence, z, to find potential E.
No net flow goes in or out (forces are balanced)
For whichever individual ion we're talking about.
Two driving forces cancel out (cancel out, baby)!
Perfect opposition of the gradients closes the spout.
This is what we've learnst,
All thanks to Walther Nernst!
This song reminds students of the Nernst equation for calculating an ion's equilibrium potential. In its simplest form, the Nernst equation says that, at 20 degrees Celsius (293 Kelvin), for a given ion, E_{ion} = (58 mV/z)*log_{10}([ion]_{out}/[ion]_{in}), where z is the ion's valence.
This song was originally written for Biology 220 at the University of Washington. The melody is based on "I Want You Back" as recorded by the Jackson 5.
Questions: (1) Does the constant of 58 mV remain the same for all temperatures? (2) What is ion valence? (3) What units are carried by the equilibrium potential (E)? (4) What does the value of E mean? Answers: (1) No  this "constant" varies with temperature. At an internal body temperature of 37 degrees Celsius, the value is 61 mV. (2) Ion valence is the charge carried by an ion, such as minus1 or plus2. (3) E, an electrical potential, generally is reported in units of millivolts. (4) E is the electrical gradient across the membrane needed to perfectly counterbalance any concentration gradient, such that there is no net driving force driving the given ion from one side of the membrane to the other.
• MP3 (by Monty Harper)
• score (with melody playback)
• video
• video for karaoke
