"mention explicitly" is correct and can be used in written English.
It is typically used when someone needs to mention something very clearly or specifically, without any ambiguity or vagueness. Example: In the instructions for the assignment, the professor mentioned explicitly that students should only use academic sources in their research paper.
With Android tablet sales growing fast – not to mention explicitly family-focused devices like Samsung's Galaxy Tab Kids and Tesco's Hudl – this issue shouldn't be seen as an Apple-only thing.
In his second paper, he became the first to mention explicitly that the theory demanded a new particle in nature, which was given the name Higgs boson in 1972.
Francis rattled off the economic, social, institutional, and humanitarian crises facing Europe, but he had no need to mention explicitly the most pressing crisis of all — Brexit, which comes to a head this week, as Prime Minister Theresa May (who was not in Rome) formally begins Britain's withdrawal from the E.U.
It can be seen in Table 6 that most publications fail to mention explicitly the specific version.
It would indeed be practical if the report would mention explicitly how and where the radiologist can be reached.
Note that some of the listed studies which remove the public holidays from their underlying data sets mention explicitly that the forecasting methods is not tailored for forecasting those days.
Ireland had been mentioned explicitly in June.
The only leader mentioned explicitly was Peter the Great: no Lenin or Stalin, no Gorbachev or Yeltsin.
ECN, which is no longer retained by the FA, insists that at no point in negotiations was the 2018 bid mentioned explicitly.
The words Sunni and Shia are not mentioned explicitly, but are symbolized in ways that are clearly recognizable to an Iraqi audience.
A speech by Adair Turner, a candidate to be governor of the Bank of England, was reported as alluding to the idea last week (although it certainly wasn't mentioned explicitly).
