Solution (source code)

= Solution

Separated <graphene> sheets offer high accessible <surface area>, short lithium-transport distances and a conducting network. Edges and exposed sheet faces can supply additional storage sites; mechanical flexibility can help preserve contact during cycling. These advantages can improve rate capability when electrolyte access and electronic continuity are retained.

The <graphite> reference composition $\mathrm{LiC_6}$ gives
$$
Q=\frac{F}{3.6(6M_C)}\simeq372\ {\rm mAh\,g^{-1}},
$$
where the host-carbon mass is used. An idealized $\mathrm{LiC_3}$ inventory doubles this figure, but \b[two accessible faces do not prove a reversible $\mathrm{LiC_3}$ electrode]. Binding energies, aggregation, defects and electrolyte stability determine actual storage.

Large area increases electrolyte decomposition and <solid electrolyte interphase> formation, consuming lithium in early cycles. Restacking reduces accessible area, low packing density reduces volumetric capacity, and residual oxygen, defects or binder can lower conductivity and active mass fraction. A broad storage-voltage profile may lower full-cell energy efficiency. Compare electrodes at matched areal loading and practical <current density>, reporting first-cycle efficiency, retention, voltage profile and volumetric as well as gravimetric capacity.