If you are restless, there is no solution except to concentrate.

to concentrate- infin.
used as an adverb?

Since "except" is used as a preposition in this sentence, the infinitive "to concentrate" must be a noun, used as the object of the preposition.

http://dictionary.reference.com/browse/except

Would this sentence not have an infinitive if it is part of a prep. phrase?

This sentence does have an infinitive. As I said, it's used as as a noun, the object of the preposition.

Remember that infinitives used as nouns can be subjects, direct objects, and objects of a preposition.

Thank you! :)

You're welcome. :-)

To determine if "to concentrate" is used as an adverb, we need to understand its function in a sentence.

"Concentrate" is a verb that refers to the act of focusing one's attention or mental effort on a particular task or objective. However, it can be used as a gerund, a noun, or an infinitive, depending on its role in the sentence.

In the sentence you provided, "If you are restless, there is no solution except to concentrate," "to concentrate" is an infinitive phrase that acts as a noun phrase and serves as the object of the preposition "except."

While "to concentrate" is commonly used as an infinitive, it can also function as a verb or a gerund in different contexts. For example:
- Verb: "I need to concentrate on my studies."
- Gerund: "Concentrating on your breath can help you relax."

Therefore, in the sentence you provided, "to concentrate" is not used as an adverb.