A science called hydrogeology - a branch of geology devoted to the study of
underground water - has grown up in an attempt to provide detailed answers
to these and related question. (Science)

She is currently on a strict weight training in an attempt to become the first
American woman to climb the mountain (Sports)

Researchers in Nebraska and New York observed patients with both types of cancers
for 10 years in an attempt to collect new information (Medical)

1.

2.

3.

in an attempt to

しようとしている

(「in an effort to」と同じ意味)