We refer to our recent calculations Eur. Phys. J. B 86, 252 (2013) of metallization pressure of the three-dimensional simple-cubic crystal of atomic hydrogen and study the effect on the crucial results concocting from approximating the 1s Slater-type orbital function with a series of p Gaussians. As a result, we find the critical metallization pressure pc=102 GPa. The latter part is a discussion of the influence of zero-point motion on the stabilizing pressure. We show that in our model the estimate magnitude of zero-point motion carries a little effect on the critical metallization pressure at zero temperature