  The results of numerical calculating the total Mott-Bloch correction to the
Bethe stopping formula and the Lindhard-Sorensen correction in the point
nucleus approximation, as well as the Mott correction and the difference
between the Lindhard-Sorensen and Bloch corrections, which were obtained by
some rigorous and approximate methods, are compared for the ranges of a gamma
factor of approximately from 1 to 10 and the ion nuclear charge number Z from 6
to 114. It is shown that the accurate calculation of the Mott-Bloch corrections
based on the Mott exact cross section using a method previously proposed by one
of the authors gives excellent agreement between its values and the values of
the Lindhard-Sorensen corrections in the gamma and Z ranges under
consideration. In addition, it is demonstrated that the results of stopping
power calculations obtained by the two above-mentioned rigorous methods
coincide with each other up to the seventh significant digit and provide the
best agreement with experimental data in contrast with the results of some
approximate methods, such as the methods of Ahlen, Jackson-McCarthy, etc.
