  For piezoelectric tensors, Olive (2014) proposed a minimal integrity basis of
495 hemitropic invariants, which is also a functional basis. In this article,
we construct a new functional basis of hemitropic invariants of piezoelectric
tensors, using the approach of Smith and Zheng. By eliminating invariants that
are polynomials in other invariants, we obtain a new functional basis with 260
polynomially irreducible hemitropic invariants. Thus, the number of hemitropic
invariants in the new functional basis is substantially smaller than the number
of invariants in a minimal integrity basis.
