Toaru Kagaku no Railgun S Episode 13

is the thirteenth episode of the second season of the Toaru Kagaku no Railgun anime series. It was first broadcasted on July 5th, 2013.

Tree Diagram—the ultra-high speed super computer of Academy City that is boasted to even "predict the future". Mikoto invades a facility to try and hack the high-tech computer to end the abominable plan. However, a grim fact comes upon her.

The Tree Diagram has already been destroyed. Desperate, Mikoto lost sight of what to do, and raids a facility as a result, rationalizing that "since Tree Diagram has been destroyed, I only need to destroy everything related to the experiment."

However, something reflected in her eyes at the height of her rampage, the experiment, monitored by the facility. Meanwhile, while looking for the missing Misaka Imouto, Touma encounters an unbelievable sight in a back alley.

Adapted From

 * Toaru Kagaku no Railgun Manga Chapter 034
 * Toaru Kagaku no Railgun Manga Chapter 037
 * Toaru Majutsu no Index Light Novel Volume 03

Characters

 * Misaka Mikoto
 * Kamijou Touma
 * Misaka 10032's cat
 * Accelerator
 * Misaka 10031

New Characters

 * Misaka 1

Locations

 * Academy City
 * School District 23
 * School District 7

Abilities

 * Electromaster (Railgun variant) - Misaka Mikoto, Level 5
 * Electromaster - Misaka 10031
 * Accelerator (ability) - Accelerator, Level 5