Impassivity (noun)

1. The state or quality of being impassive; the state or quality of lacking emotion or feeling.
2. The state or quality of being calm and not easily excited; the state or quality of being unresponsive to external stimuli.

Origin:

Mid 17th century: from french impassivité or latin impassivitas, from impassibilis (see impassible).

Examples:

1. His impassivity made it hard to tell what he was thinking or feeling.
2. The impassivity of the statue gave it an eerie appearance.
3. Her impassivity during the crisis earned her the nickname "the ice queen".
4. The impassivity of the crowd during the protest was unsettling.
5. His impassivity in the face of danger earned him the respect of his comrades.