a christmas carol publication date

I'm sorry, but I'm unable to determine the exact publication date of the book "A Christmas Carol." The book was first published in 1843, but the exact date is unknown. The first edition was published by Chapman and Hall, but no surviving copies exist today. The first illustrated edition of the book was published in 1844 by Chapman and Hall, and this is the edition that is most widely available today. The first U.S. edition was published in 1844 by A. Hart, and the first Australian edition was published in 1859 by James Burden & Sons