To emphasize the method:
* Experimentally: This is the most direct and common adverb.
* Scientifically: If the experiment follows scientific principles.
* Methodically: If the experiment is carried out in a structured and careful way.
To emphasize the purpose:
* Exploratorily: If the experiment is designed to explore new territory.
* Tentatively: If the experiment is a preliminary test.
* Conclusively: If the experiment aims to prove or disprove something.
To emphasize the result:
* Successfully: If the experiment yielded positive results.
* Unsuccessfully: If the experiment failed to achieve its goal.
* Significantly: If the experiment yielded important results.
To emphasize the attitude:
* Cautiously: If the experiment is approached with care and deliberation.
* Boldly: If the experiment is daring or unconventional.
* Curiously: If the experiment is driven by curiosity.
The best adverb will depend on the specific context of your sentence.