Yes,

We went through this before, but I still have trouble resolving the
issues in my mind.

The variables as I see them :
voltage
current
current density of electrode
particle density

Any one variable is dependent on all the others.
Rise in voltage, leads to rise in current, leads to a rise in current
density, leads to a rise in particle density which travels towards the
cathode at a higher speed.

Limit current = limit in current density = lower voltage = limit
particle density which travels at lower speed.

Control voltage = control current  (by removing wetted depth of
electrode) = higher current density = higher particle density travelling
at higher speed.

The velocity of an ion in an electric field is the product of the field
strength
E(Vcm^-1) and its electrophoretic mobility U(cm^2 V^-1 s^-1).
The ion is instantly accelerated to the velocity where the resistive
forces (viscosity of medium etc.) equal the attractive forces, where
upon the ion travels at a constant rate.

v = EU(cm s^-1)

For silver ions (effective radius of 0.15nm) U = 6.4 x 10^-6.
Larger ions = slower speeds.
Higher charge = higher speeds.

So at a field strength of 1Vcm^-1 the velocity = 6.4 x 10^-6 cm s^-1
which is very slow unless you are an ion.

Obviously it is not the voltage that is the main diffusion factor in CS
production but thermal or mechanically induced currents.

Ivan.




----- Original Message -----
From: "Marshall Dudley" <[email protected]>
To: <[email protected]>
Sent: Wednesday, 13 December 2000 05:59
Subject: Re: CS>Progress report w/ingot


> We went through all this about a month ago.  What is important is the
density
> of particles near the electrode times the length of time they are
there. When
> this factor goes up, the size goes up.  Increasing voltage causes the
> particles to move away from the electrode through elecrtophrosis
faster
> reducing the density.  Increasing current density causes more
particles to be
> generated per unit of time, increasing the density.
>
> So we have particle density is proportional to current/voltage.
>
> Aggregation will be proportional to this and the length of time they
are in a
> high density area, ie. time*current/voltage. For all practical
purposes the
> voltage and current elements cancel out, leaving time, and time near
the
> electrode is inversely proportional to voltage, with current having
minimal
> effect.  Thus density*time will be proportional to current/voltage^2,
and
> since current is proportional to voltage, we get that the
density*time, or
> aggregation constant, is proportional to 1/voltage.  With all else
equal,
> particle size drops with increasing voltage.  I have verified this
many times
> with HVAC process.  I am assuming the same rules apply in the LVDC
process,
> but have not experimentally verified it.
>
> Marshall



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