Hi mstechca,
That looks like a straightforward A.M. reciever to me.
It looks like basically a crystal set feeding an amplifier.
As a first build its ok.
The coil, if it is for medium wave ( i suspect it is)
would be around 100 turns of thin insulated wire,
on a cardboard tube of about one and a half inches diameter.
select the diode carefully,
it has to be a 'signal diode'
most diodes need a bit of forward voltage before conducting,
usually half a volt or a bit more,
but a 'signal diode' is only meant for very weak voltages
and will conduct forward at much lower voltages,
this is necessary because in this arrangement the voltages
are only from the power that comes in from the ariel.
Signal diodes should be kept separately from ordinary diodes,
they are usually made of clear glass (but not always)
As for that 1 nano-fahrad capacitor, ive seen this in many
circuits but ive never known it make any difference.
I would omit that, the wiring would probably be more than
that anyway.
The 1 MFD, make sure its not an electrolytic, and not leaky.
The 510 ohm? dunno what thats for ... miss it out.
Get a decent earth, and a decent ariel, and try it on an
amplifier that you know works to start with.
If you can get a trimmer, thats a small adjustable capacitor
then you should be able to tune something in, but dont
expect the tuning to be sharp, if you can get a station to
come in, and reject the rest thats about normal.
The amplifier you have drawn there may be suitable just
for making it work, but the linearity will be poor.
I will assume the output goes directly to a speaker.
The resistor in the emitter of the output transistor is
hardly necessary, but may have been included as a current
limiter, i would suggest a few ohms, maybe two or three
and a high value electrolytic (1000 ?)across it, or omit it.
The resistor on the base of the output transistor would
have to be a lower value than a collector load would
normally be, i would suggest using that 510 ohm resistor.
That leaves the two resistors on the base of the first
transistor. They call that arrangement a divider.
I suggest 800 to 1000 ohms from the first base to ground.
To see what value for the one from base to positive,
you will need the output load connected (the speaker)
and a voltmeter across it.
With no resistor from the input to positive, there should
be no reading on the voltmeter (ten volt range)
Start by touching a 1 meg from input to positive.
You should see a reading, maybe not much, it depends on
too many variables to guess what reading.
Aim for about half to a third of the battery voltage,
by trying lower values from input to positive.
starting at maybe 1 megohm and reducing a bit at a time.
that circuit is going to be a bit dependant on its
battery voltage, and its class A, a poor choice for
batteries because it uses the same current soft or loud.
Typical output circuits use less at low volume and
more at higher volumes.
With radio reception there is more involved than just
audio amplifying, the 'front end' thats the tuning part
is usually helped significantly before it gets to the
audio stages.
with this i would suggest a regenerative cicuit which
would mean some additional small windings on to the
tuning coil, and a few more components. That would
boost your signal and improve the selectivity a lot.
Its a lot to take in for a beginner, i hope you have
someone you can call on if you get stuck.
Best of luck with it,
John