The phrase "aware of the unique" is correct and usable in written English.
You can use it when discussing someone's understanding or recognition of something that is distinctive or special.
Example: "She is aware of the unique challenges that come with leading a diverse team."
Alternatives: "conscious of the distinct" or "mindful of the special".
He said he was aware of the unique responsibility entailed in being a first.
But it is well aware of the unique and wonderful thing that its Seurat picture is, and has spun a show around it, a wonderful one.
Readers familiar with John Burnside's poetry, novels or memoirs will be well aware of the unique mythology that he has been assiduously, slyly and persistently building across his creative work.
Part of the issue seems to be that political strategists came into the campaign season unschooled in the challenges of Internet advertising, and Web advertising sales outlets are not necessarily aware of the unique sensitivities of each presidential campaign.
"Finally, I am fully aware of the unique challenges a club the size of Rangers face in Scotland.
Only the study administrator (who was not an orthodontist) was aware of the unique identifier (a number written on the cover of the envelope) that linked each patient to the treatment group.
Pulmonary and critical care physicians should be aware of this unique differential of refractory asthma, the association with pregnancy, and the feasibility of using bi-femoral veno-venous ECMO with low-dose heparin for its management.
Some folks should grow more aware of this unique American alchemy.
Interventional and diagnostic radiologists should be aware of these unique nephrographic findings on CAT after TACE and their possible clinical implications.
When you've lived with anxiety for a while, oftentimes you become aware of some of the unique things you do because of it — or even the "weird" ways you've learned to cope with it.
