Component diagram
Next you can zoom in and decompose a container to describe the components that reside inside it; including their responsibilities and the technology/implementation details.
Example
Diagram key
Scope
A single container.
Primary elements
Components within the container in scope.
Supporting elements
Containers (within the software system in scope) plus people and software systems directly connected to the components.
Intended audience
Software architects and developers.
Recommended?
No, only create component diagrams if you feel they add value, and consider automating their creation for long-lived documentation.