Recent
discoveries of materials with ultralow thermal conductivity
open a pathway to significant developments in the field of thermoelectricity.
Here, we conduct a comparative study of three chemically similar antimonides
to establish the root causes of their extraordinarily low thermal
conductivity (0.4–0.6 W m–1 K–1 at 525 K). The materials of interest are the unconventional
type-XI clathrate K58Zn122Sb207,
the tunnel compound K6.9Zn21Sb16,
and the type-I clathrate K8Zn15.5Cu2.5Sb28 discovered herein. Calculations of the phonon dispersions
show that the type-XI compound exhibits localized (i.e., rattling)
phonon modes with unusually low frequencies that span the entire acoustic
regime. In contrast, rattling in type I clathrate is observed only
at higher frequencies, and no rattling modes are present in the tunnel
structure. Modeling reveals that low-frequency rattling modes profoundly
limit the acoustic scattering time; the scattering time of the type-XI
clathrate is half that of the type-I clathrate and a quarter of that
of the tunnel compound. For all three materials, the thermal conductivities
are additionally suppressed by soft framework bonding that lowers
the acoustic group velocities and structural complexity that leads
to diffusonic character of the optical modes. Understanding the details
of thermal transport in structurally complex materials will be crucial
for developing the next generation of thermoelectrics.