Universal finite-size scaling functions with exact nonuniversal metric factors

Finite-size scaling was of interest to scientists working on a variety of critical systems, including superfluids, spin models, percolation models, lattice gauge models, spin glass, etc. Universal finite-size scaling and finite-size corrections in finite critical systems have attracted much attention in recent decades. This paper uses the exact partition functions of the Ising model on finite SQ, PT, and HC lattices with periodic-aperiodic boundary conditions and an exact expansion method to obtain exact finite-size corrections fo the free energy f^B, the internal energy E^B, and the specific heat C^B of the critical Ising model on these lattices.