Ron Guth:
The 1841-O Half Dollar is a semi-scarce date from the New Orleans Mint. It is comparable in overall rarity to the 1840-O and the 1843-O, but is much less scarce than the 1841. Even in Mint State, it is fairly easy to obtain, though the most frequently seen Uncirculated grade is MS62. On the PCGS side, a small cluster of MS64s and a single MS64+ top out the Population Report, while the best example certified by NGC is single MS66 (they report two in that grade, but we have not been able to identify the second example).
The overall strike quality is good for a New Orleans Mint product, thought it is generally not as sharp as a coin from Philadelphia. Usually, any weakness occurs on the eagle's right (viewer's left) leg.