Formula for Between to Dates

Hello,

Hi, I am looking for a date formula that will tell me if a date in a cell is between to dates In column "A" I have a list of dates and in cell "G1" I have 13/2/13 and in Cell "H1" I have 20/2/13. I am looking for an formula that will tell me if the dates in column "A" are between these two dates, if I run the formula in column "C" I am wanting the date if it is between the two dates to show up in the opposite cell in column C if it is not then it shows a blank in the opposite cell in column C, I guess an "IF" formula is required but I cannot work out how to show the between part for the two dates