What is 'Normalized frequency in the range [0,1)', à la DTMF & Goertzel algorithm
The normalized frequency '1' corresponds to the Nyquist frequency, i.e. half the sampling frequency. So the normalized frequencies $w$ are obtained from the frequencies $f$ in Hz by

$$w=\frac{2f}{f_s}$$

where $f_s$ is the sampling frequency.

The frequency (in Hz) corresponding to a certain bin $i$ ($0\le i\le N-1$) of an FFT with length $N$ is

$$f_i=\frac{if_s}{N}\quad i=0,1,\ldots,N-1$$

For real-valued signals, the bins $i=N/2+1$ (assuming $N$ is even) to $i=N-1$ are redundant.