Subcritical mass refers to the amount of fissile material that is insufficient to sustain a nuclear chain reaction. This concept is crucial in nuclear physics as it ensures that a given mass of material will not spontaneously lead to an explosive release of energy, which is essential for both safety and control in nuclear reactors and weapons. Understanding subcritical mass helps differentiate between safe handling of fissile materials and scenarios that could lead to critical mass, where a runaway chain reaction occurs.