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For the 54 atoms from H to Xe, compact yet accurate segmented Gaussian-type basis sets have been constructed for all electron calculations. Non-relativistic
n
ZP (Sapporo-
n
ZP) sets for Li–Xe and relativistic
n
ZP (Sapporo-DK-
n
ZP) sets for K–Xe are developed (
n
= D, T, Q), which efficiently incorporate valence and core electron correlations. Test calculations at the coupled-cluster level of theory are performed for spectroscopic constants of 12 hydrides of
s
- and
d
-block atoms and 12 diatomics of
p
-block atoms in their ground states. For all molecules, the calculated spectroscopic constants approach to the experimental values smoothly as the basis set quality increases.