Located throughout the core's fuel-charge in a 3-D lattice whose cell constant is roughly a mean free path of a median-energy-for-fission neutron, each of these modules consists of a pair of metallic compartments, each one of which is fed by a capillary tube. The small thermostat-bulb compartment located in the fuel always contains Li7, whose neutron absorption cross-section is essentially zero for neutron energies of interest, while the relatively large one positioned in a cooler location on the wall of a coolant tube may contain variable amounts of Li6, which has a comparatively large neutron absorption cross-section. [Lithium, melting at 453 K and 1-bar boiling at 1615 K, is a liquid across the entire operating temperature range of the reactors of interest, and its two stable isotopes each have useful nuclear properties.] As the fuel temperature rises, the thermostat-bulb-contained Li7 expands, and a small fraction of it is expelled (not, vert, similar10−3, for a 100 K temperature change), potentially under kilobar pressure, into the capillary tube which terminates on the bottom of the cylinder-and-piston assembly located outside of the radiation shield and physically lower than the Li6 intra-core compartment. There the modest volume of high-pressure Li7 drives a swept-volume-multiplying piston, which pushes a three order-of-magnitude larger volume of Li6 through a core-threading capillary tube into an intra-core compartment adjacent to but cooler than the thermostat-bulb, which is driving the flow. There the Li6, whose spatial configuration is immaterial as long as its smallest dimension is less than a neutron mean free path, acts to absorptively depress the local neutron flux, thereby reducing the local fuel power density. When the local fuel temperature drops, Li6 returns to the cylinder-and-piston assembly under action of a gravitational pressure-head, thereby returning the Li7 to the thermostat-bulb whose now-lower thermomechanical pressure permits it to be received. A total loading of ≤ 104 mol – ≤ 60 kg – of Li6 is sufficient for the filling of the not, vert, similar103 thermostating modules of the reference 1 GWe-reactor.