Anomalous changes
of physical properties are observed in an abrupt
bulk-to-discrete transition in layered silver alkanethiolate (AgSCn, n = 1–16). A critical chain length
of n
cr = 7 marks the sharp boundary between
the bulk (uniform, n ≥ 7) and discrete (individualistic, n ≤ 6) forms of AgSCn. Solid-state 13C NMR analysis reveals that none of the carbons share identical
chemical environment in the discrete range, making each AgSCn with n = 2–6 uniquely different
material, even though the crystal structure is preserved throughout.
Extraordinary changes of thermodynamic properties appearing at this
bulk-to-discrete transition include ∼500% increases of melting
enthalpy (ΔH
m), ∼50 °C
increases of melting point (T
m), and an
atypical transition between size-dependent T
m depression and T
m enhancement.
We develop a new comprehensive Gibbs–Thomson model with piecewise
excess free energy (ΔG
excess) to
predict the nature of the abrupt size effect melting. A new 3D spatial
model is constructed to divide the aliphatic chains of AgSCn into three bulk or discrete segments: (a) tail segment
containing three carbons, (b) head segment containing two carbons,
and (c) bulk mid-chain segment containing (n –
5) carbons. Odd/even effect of T
m and
ΔH
m is described by a constant ΔG
excess over the entire chain length range of
AgSCn and is exclusively attributed to the localized
tail segment. Bulk-to-discrete transition occurs when material properties
are dominated by the discrete head and tail segments at n < n
cr. Values of n
cr are independently measured by both calorimetry and 13C NMR. This analysis is generalized to other aliphatic layers
including n-alkanes with n
cr ≈ 11. This work is seminal to the design of novel aliphatic
layers with tailorable properties (e.g., T
m) and has applications in molecular electronics and biophysics.