These include emergency applications for stays (including requests for stays of execution in death-penalty cases) and injunctions pursuant to the All Writs Act arising from cases within that circuit, as well as more routine matters such as requests for extensions of time.
Most often, a Justice will dispose of such an application by simply noting that it is "Granted" or "Denied," or by entering a standard form of order unaccompanied by a written opinion.
On occasion, Justices have also issued single-Justice in-chambers opinions on other matters, such as explaining why they have chosen not to recuse themselves from participating in a particular case before the Court.
The rules of some other multi-member American appellate courts sometimes authorize a single judge or justice to take certain actions.
It is relatively unusual for single judges or justices of lower courts to issue opinions explaining their rulings on these matters, but when they do, the designation "in chambers" is sometimes used.