This
study is an attempt to develop a theoretical methodology to
elucidate or predict the structural characteristics and the physical
properties of an isolated polymeric chain and its crystalline state
precisely and quantitatively. To be more specific, conformational
characteristics of a biobased and biodegradable polyamide, nylon 4,
in the free state have been revealed by not only ab initio molecular
orbital calculations on its model compound but also nuclear magnetic
resonance experiments for the model and nylon 4. Furthermore, the
crystal structure and solid-state properties of nylon 4 have been
elucidated by density functional theory calculations with a dispersion
force correction under periodic boundary conditions. In the free state,
the nylon 4 chain forms intramolecular N–H···O=C
hydrogen bonds, which force the polymeric chain into distorted conformations
including a number of gauche bonds, whereas nylon 4 crystallizes in
the fully extended all-trans structure (α form) that is stabilized
by intermolecular N–H···O=C hydrogen
bonds. The intermolecular interaction energy (Δ
E
CP
) in the crystal was accurately calculated via a counterpoise
(CP) method contrived here to correct the basis set superposition
error, and the ultimate crystalline modulus (
E
b
) in the chain axis (
b
axis)
direction at 0 K was also evaluated theoretically. The results were
compared with those obtained from the α and γ crystalline
forms of nylon 6, and, consequently, the superiority of nylon 4 to
nylon 6 in thermal stability and mechanical properties was indicated:
the Δ
E
CP
and
E
b
values are, respectively, −214 cal
g
–1
and 334 GPa (nylon 4), −191 cal g
–1
and 316 GPa (α form of nylon 6), and −184
cal g
–1
and 120 GPa (γ form of nylon 6). In
conclusion, nylon 4 is expected to be put to practical use as a tough
environmentally friendly polyamide.