The coin in question is a 1851 Liberty Head Half Eagle, valued at $5 and minted in New Orleans, as indicated by the mint mark 'O.' This classic coin is part of the Liberty Head series, which features a design characterized by a depiction of Lady Liberty in a classic style, symbolizing freedom and independence. Struck from 8.36 grams of gold, the coin has a diameter of 21.6 millimeters and was produced through a mint strike process, ensuring a high level of detail in its design. The mintage for this particular year was relatively limited, with only 41,000 pieces produced, making it a sought-after item among collectors. The coin represents not just a denomination of currency but also a significant piece of American history, reflecting the economic and artistic values of its time. With its gold composition and historical significance, the 1851 Liberty Head Half Eagle O mint is a prized addition to any numismatic collection.