  We propose a realization of an extended Bose-Hubbard model, which takes into
account next-nearest-neighbor tunneling, by one-dimensional double-well optical
superlattice with a resonance between s and p orbitals in the neighboring
sites. Custom method of finding maximally-localized Wannier functions enables
us to compute physical tunneling coefficients, which put some restrictions on
the studies of the model, what have recently been done using arbitrary values
of parameters. Furthermore, it turns out that out of s-p resonance the system
splits up into two disconnected lattices. We analyze also Zak-Berry phase and
single-particle spectrum of the system. In order to present the problem in the
full context, short review of rudiments of optical lattice physics and
derivation of the standard Bose-Hubbard model is included.
