This invention relates to nucleoside, nucleotide, and oligonucleotide analogs that incorporate non-standard nucleobase analogs, defined to be those that present a pattern of hydrogen bonds to a paired nucleobase analog in a complementary strand that is different from the pattern presented by adenine, guanine, cytosine, and thymine. Most specifically, this invention discloses and claims processes for amplifying nucleic acid analogs containing non-standard nucleobases using polymerase chain reactions, and enzymes that perform this amplification.