If the sample is composed of two materials A and B present in volume fractions j(A)
and j(B), the penetration depth will be:
(3)
Assuming that an emulsion is made of 10% (by volume) of silver (m(Ag) = 218 cm
2
g
-1
,
r(Ag) = 10.5 g cm
-3
) and 90% of gelatin (m(gel) = 9.8 cm
2
g
-1
as for water, r(gel) = 1.29 g cm
-3
),
the penetration depth calculated for an incoming X-ray beam of 8.041 keV (energy of the
most common X-ray source in X-ray diffraction (XRD) instruments) is of the order of
1 mm. The penetration depth in a mirrored emulsion will be smaller because the emulsion
is covered by a layer of particles. Nevertheless, even the penetration depth in pure silver is
on the order of 4 µm, about 20 times bigger than the thickness of the silver mirroring.
Therefore, the flat sample arrangement is not suitable for XRD experiments.
On the other hand, X-ray equipment capable of focussing the beams are often not available
in research laboratories, especially systems that can focus the X-ray beam to a diameter
smaller than few microns. See Creagh (Chapter 1) for information on focussed beams in
microspectroscopy at synchrotron radiation sources. In addition, the cross section arrange-
ment of the specimen is not suited to this approach.
When electrons penetrate into a material, they lose their energy with different
processes dependent on their energy value. If their kinetic energies are in the range of kilo
electron volts, the main mechanism is ionisation or excitation of the atoms present in the
material. The amount of energy loss per unit of travelled path is proportional to the elec-
tron’s density in the material, such that materials made of heavy elements will stop elec-
trons much faster than light element materials. The electron’s penetration depth is
estimated calculating the path travelled by the electrons before they stop. This is called
the continuous slowing down approximation (CSDA) range, and it is tabulated for most
materials.
For starting electron energies of 20 keV, the typical energy of the incoming electrons in
an SEM X-ray microanalysis apparatus, the penetration depth is about 6 mm in photo-
graphic gelatin and 1.5 mm in silver, in both cases more than the thickness of the silver
mirroring layer. Therefore, the flat sample arrangement is not suited for SEM experiments.
If the electron kinetic energy is on the order of a few hundreds of electron volts, the
CSDA range is not valid. Few hundreds of electron volts are the typical energy of the elec-
trons emitted in X-ray photoelectron spectroscopy (XPS) equipments. This energy is so
small that uniquely the electrons emitted from atoms at a maximum distance of 10 nm
from the sample surface can escape and be detected (Grunthaner, 1987). Therefore, the flat
sample arrangement can give reliable results in XPS experiments.
In conclusion, the methods fulfilling the first requisite are XRD on powder samples and
XPS on flat samples. Both methods also satisfy the second requisite because XRD detects
crystalline compounds (and, therefore, directly the presence of silver sulphide), while XPS
provides quantitative results of the sample atomic composition.
The combination of these X-ray analyses has been used to determine the chemical
composition of the edge silver mirroring present on four glass negatives belonging to the
Cueni study collection. Three out of the four plates examined (numbers 1, 2, and 4) were
processed negatives, while the number 3 was a historical non-processed glass negative.