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Instead of attempting to explain the ATMEL's convoluted datasheet, the following is what you have;
Based on your posted picture, provided it is NOT a copycat, the main significant number here is the second row; 2 F B 1
It denotes an obsolete ATMEL two-wire, serial 512K EEprom. Part number AT24C512B.
It was originally designed to ONLY operate between 1.8~3.6V Vcc !
However, date code of (814) week 14/2008 or later added support for 5V operation.-- You have a 934 code which is fine with 5V. ...whew
I am not familiar with your programmer but AT24C512B algorithm must be supported for programming.