← Mathematical compendium

Published equation contexts

CE=QdischargeQcharge\mathrm{CE} = \frac{Q_{\mathrm{discharge}}}{Q_{\mathrm{charge}}}

Why this formula appears here

Vetter and coauthors’ widely cited review of lithium-ion aging mechanisms catalogs why cells fade: solid-electrolyte-interphase growth on the anode consumes cyclable lithium and increases impedance; lithium plating at low temperature or high charge rate can occur when the anode’s insertion kinetics cannot keep pace with the applied current, creating a safety hazard distinct from ordinary capacity fade; cathode particle cracking and transition-metal dissolution degrade the cathode independently of anode-side mechanisms [ 1 ] . A single capacity-versus-cycle-number curve cannot distinguish these mechanisms from each other; that requires complementary measurements — incremental capacity…

Read the full article-specific guide →

Read the representative guide

QdischargeQ_{\mathrm{discharge}}

Symbol Q_discharge

QdQ_discharge occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Read this term in its guide →
QchargeQ_{\mathrm{charge}}

Symbol Q_charge

QcQ_charge occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Read this term in its guide →

How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

CE=QdischargeQcharge,\mathrm{CE} = \frac{Q_{\mathrm{discharge}}}{Q_{\mathrm{charge}}},

Equation 15 · Materials Science

Materials Discovery and Degradation in Practice: An Advanced Technical Guide

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Vetter and coauthors’ widely cited review of lithium-ion aging mechanisms catalogs why cells fade: solid-electrolyte-interphase growth on the anode consumes cyclable lithium and increases impedance; lithium plating at low temperature or high charge rate can occur when the anode’s insertion kinetics cannot keep pace with the applied current, creating a safety hazard distinct from ordinary capacity fade; cathode particle cracking and transition-metal dissolution degrade the cathode independently of anode-side mechanisms [ 1 ] . A single capacity-versus-cycle-number curve cannot distinguish these mechanisms from each other; that requires complementary measurements — incremental capacity…

Equation guide → · Article →