How to design fm transmitter

This is a really, really broad question. Also, it should be in the Electrical Engineering or regular Engineering subforums. Since you're asking about specific component values, do you have a design that you're already using?

 

goto this site
http://knowhowstuff.blogspot.com/2009/05/fm-transmitter.html

 

Hello;
I want to know only how to make a coil for specific output frequency? what is a crystal? How to make a crystal and how to use it?

 

There is a formula for designing tuned circuits.

L (inductance of coil in microhenries) = 25330.3 / ((Frequency in MHz) * (Frequency in MHz) * (Capacitance in pF))

So, to make a coil to resonate with 50 pF at 25 MHz you would need an inductance of 0.81 microhenries.
In practice, this would be a small coil maybe 10 mm in diameter with 6 turns of wire on it and you might make the capacitor partly variable to tune the circuit and achieve resonance.

There are many inductance calculators on Google. They usually give different results for small coils but better ones for larger coils.

Regarding crystals.... you always have to buy these. There are large factories that make them but you would not be able to make them at home. Old computers always have a few crystal oscillators in them.

See the following site for quite a good article about quartz crystal oscillators.
http://en.wikipedia.org/wiki/Crystal_oscillator

 

It not really possible to wideband FM a crystal oscillator. Free running oscillators will FM easily but do drift. It is possible to have a phase locked loop which holds the centre frequency steady but allows deviation. Some broadcast FM transmitters deviate a stabilised 10.7 Osc (required to remain within a few hundred Hz by the authorities) and then mix up to the final frequency.