Note that the variable f (the scaled barrier field) is not the same as the variable y (the Nordheim parameter) extensively used in past field emission literature, and that " v (f) " does NOT have the same mathematical meaning and values as the quantity " v (y) " that appears in field emission literature. In the context of the revised theory described here, formulae for v (y), and tables of values for v (y) should be disregarded, or treated as values of v (f). If more exact values for v (f) are required, then provides formulae that give values for v (f) to an absolute mathematical accuracy of better than 8×10. However, approximation formula (30c) above, which yields values correct to within an absolute mathematical accuracy of better 0.0025, should gives values sufficiently accurate for all technological purposes.