The Rhode Island Republican

FROM SMYRNA.—The brig Wm. & Henry, Wadleigh, 17 days from Smyrna, arrived at Boston on Tuesday last. Mr Clark, a passenger in the W. & H. communicated to Mr. Topliff at Merchants Hall, the following:

"The Russian head quarters were at Adrianople about Sept. 11 or 12. About the 5th a deputation was sent by the Sultan to the Russian head quarters with proposals for peace; but the terms were considered inadmissible, on the part of the Turks—the preliminary articles being the payment of 350,000,000 of silver roubles, as an indemnity for the expenses of the war. It was supposed that the Russian army would enter Constantinople about the 15th, and without any battle. In fact, the financial system of Turkey is so bad, and the taxes upon the people have been so burdensome, that a war with any powerful nation could not be maintained, nor could an army now be raised to make any serious resistance in any part of Turkey. Since the passage of the Balkan, all hope of defending Turkey in Europe seems to have been abandoned."

It will be observed (says the Boston Patriot of yesterday,) that the above furnishes no later specific intelligence from the seat of war, than that before received.