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Rock Properties: Why
the ancient Egyptians can carve rock with stone and copper tools
by Archae Solenhofen
Last
modified January 11, 2003
There are three terms
that have relevance to carving and lapidary working of rocks and minerals,
these are rock hardness, mineral hardness, and mineral fracture toughness.
These three terms have different meanings and are often confused and
interchanged in modern alternative literature on the subject of the carving
and lapidary working of rocks and minerals by the ancient Egyptians.
a) Rock
Hardness
b) Mineral
Hardness
c) Mineral
Fracture Toughness
a) Rock
Hardness
Rock hardness is a
term used in geology to denote the cohesiveness of a rock and is usually
expressed as its compressive fracture strength. Terms such as hardrock and
softrock are used by geologists to distinguishing between
igneous/metamorphic and sedimentary rocks, respectively. These terms
originated from historical mining terms, reflecting the methods needed to
economically mine an ore deposit. For example, a hardrock needs to be mined
with explosives and a softrock can be mined with hand tools, such as pick
and shovel.
Rocks can be tested
for their unconfined fracture strength by using ASTM standard tests. These
involve loading a small rock core at a rate of 0.7 MPa/s until it fails
brittlely. The fracture strength is given as the maximum stress necessary
to induce failure of the rock core. This value gives an indication of the
cohesiveness and density of a rock. As seen in Table 1 igneous, metamorphic
and sedimentary rocks can be classified from very weak to very strong with
regards to their unconfined fracture strengths (Attewell & Farmer
1976). Generally, sedimentary rocks can range from weak to medium (10-80
MPa), and igneous rocks range from medium to very strong (40-320 MPa). The
highest unconfined compressive strength observed in a rock is on the order
of 400 MPa (e.g. nephritic jade).

Table 1. Classification of
rock hardnesses (after Attewell & Farmer 1976).
Table 2 presents the
typical unconfined compressive, tensile, and shear strengths for a variety
of rock types (Attewell & Farmer 1976). It can be seen that each rock
type can exhibit considerable variation. These variations are the result of
a number of factors, which include porosity, grain size, grain shape, grain
and crystallographic preferred orientation, mineralogy, and moisture
content. In most rocks the main factors controlling rock hardness are
porosity, grain size, and grain shape. All three of these factors affect
the surface area of the interlocking bond forces at mineral grain to grain
contacts. In most rocks the higher the surface area of mineral grain to
grain contact the harder the rock becomes, for example:
i) Decreasing
porosity in rocks increases the surface area of grain contacts.
ii) Decreasing the size of mineral grains in the rock increases surface
area of grain contacts.
iii) The surface area of equant or irregular grains is greater than that of
angular grains.
Sedimentary rocks
generally have high porosity, a reflection of the processes of their
formation and the nature of the cementing agent. As a result they are
generally low in rock hardness (Table 2), and their grains are less tightly
held together. Fine-grained and lower porosity igneous rocks, such as basalt
and diabase (dolerite)
are generally higher in rock hardness than that of coarser grained igneous
rocks, such as granite,
diorite,
and gabbro. As a result, the mineral grains of fine-grained igneous rocks
are more tightly held together than that of coarse-grained igneous rocks.
In metamorphic rocks, where strong foliations have developed, rock hardness
is generally lower due to the preferred orientation of mineral grains and
the structural weaknesses these impose. However, in low grade metamorphism
where a foliation does not develop, but the rock became more indurated
(i.e. more compacted and lower porosity), rock hardness increases. This is
the case for the rock slate,
which is the indurated metamorphic form of the sedimentary rock shale
(Table 2). A list of the properties of some Egyptian building stones
(Arnold 1991) are presented at the following website (Egyptian
Building Stones and their Properties (1 kg/gcm=0.098 MPa)).

Table 2. Typical rock
parameters (after Attewell & Farmer 1976).
In carving and
lapidary working of rock, rock hardness plays an important role in
determining the rocks susceptibility to brittle failure during the working
process. Rocks that have high hardnesses are less susceptible to
fracturing, and their mineral grains are more tightly held and less likely
to be plucked out of the rock's surface while being worked. This means that
hardrocks are more durable, can take on high polishes, and can be finely
detailed when carved, three properties that make them ideal for high
quality, finely detailed statuary (e.g. nephritic jade). However, this also
makes them harder to carve, in the sense of more labor intensive and time
consuming activity. Most hardrocks can be carved by percussion, which
involves striking the rock surface with a hammer (Rich 1970). This causes
fracturing or cleavage of the mineral grains on the surface of the rock
(see fracture
toughness below), and allows the rock to be shaped. The high fracture
strengths of hardrocks minimizes the risk of significant fractures forming
within the rock when sufficient impact stresses are applied to crush the
mineral grains on the rock's surface. Today, percussion carving is
generally done with cast iron or soft tool steel Boucharde or bush hammers
(Fig. 1). In modern percussion carving, hardrocks can be shaped to a fine
scale by this method (Rich 1970).
Fig. 1. Modern bush
hammer.
The ancient Egyptians
did not have ready access to cast iron or steel for most of their history
and would have used rock hammers, broad chisels, and punches (Zuber 1956,
Stocks 1999; 2001). The rock hammer or stonemason's maul only needs to have
a rock hardness greater than the rock being carved. As a result the harder
rock degrades less than the softer rock, allowing the surface of the softer
rock to be mechanically broken down and the rock to be slowly shaped. As we
see in Table 2, diabase
(dolerite) can be harder than that of most other coarser grained igneous
rocks, and as a result it make a good rock hammer. Egyptian quarries are
littered with spherical diabase pounders (Klemm & Klemm 1993), examples
of which can be seen from the Sphinx
temple, as well as other places throughout Egypt (e.g. UC27323,
UC35981,
UC379,
UC21411).
Numerous tomb painting and reliefs have been found that demonstrate the use
of stonemason's maul in the making of stone statuary (Eaton-Krauss 1984).
Figure 2 represents an image of 2 sculptors working with stonemason's mauls
in the tomb of Tjj from the Old Kingdom period. The stonemason's
maul would appear to be made of a blunt stone head (e.g. UC30858,
UC30184,
UC16328)
connected by leather thongs to two wooden rods that were used as handles.
Fig. 2.
Stonemason's maul (after Eaton-Krauss 1984).
Softer sedimentary
rocks can be carved with hardened copper and bronze chisels as well as with
stone hammers (Stocks 1999). During lapidary working, less indurated
softrocks are more susceptible to grain plucking because of their high
porosity, which leads to their grains being less tightly held together. In
many cases this prevents fine detail and high polish from being obtained in
these rock types. More indurated sedimentary rock, such as metasedimentary
rocks, are more ideal for fine carving because their grains are more
tightly held together. As a result they can be worked with fine detail,
highly polished, and thin sectioned with less risk of fracturing during the
working process. An example of this is the metasiltstone cup from the tomb
of Queen Her-nit (image)
and the metasiltstone ornamental bowl from the tomb of Sabu (Fig.3, image),
both are from the Early Dynastic period. Note that both the easy to which
these rocks can be carved and their durability are taken to full advantage
by the early Egyptian artisans.
Fig.
3. Ornamental bowl from the 1st Dynasty tomb of Sabu (Tomb 3111). (d. 62
cm, Cairo Museum, Photograph by Jon Bodsworth The
Egypt Archive).
b)
Mineral Hardness
Hardness of a
crystalline solid, with respect to abrasion, may mean one of two things:
i) The ability of one
mineral to scratch or abrade another, this is called Mohs' hardness.
ii) The resistance to indentation under a steadily applied stress, this is
call indentation hardness or microhardness.
Each of these is a
measure of a crystalline structure's resistance to mechanical breakdown,
which reflects the strength of atomic bond within the crystallographic
lattice of a specific material.
Mohs' scale of
hardness represents a scale of relative mineral hardness rather than a
scale of absolute mineral hardness. The key word here is
"relative"... what this means is that Mohs' scale is actually
just an arbitrary list or table and does not represent the actual value of
hardness. It is a list of 10 common minerals that increase in hardness as
one ascends the list. As a result the scale cannot be used directly to
qualitatively define the actual hardness of a mineral. It was originally
designed by Fredrick Mohs in the early 19th century to be use in
combination with a number of other diagnostic tests and observations for
mineral identification by geologists and mineralogists (e.g. streak,
cleavage, crystal habit, etc.). On Mohs' scale a mineral will scratch
another mineral of equal or lesser hardness than itself. This allows the 10
common minerals of Mohs' scale to be used to make a simple scratch test to
grade that an unknown mineral can scratch or be scratched by another, and
in so giving a rough estimate of relative hardness. This test allows the
unknown mineral's relative hardness to be compared to a list of known
relative mineral hardnesses to help in identification. As a result Mohs'
scale is usually graduated only to 0.5 or 0.25 intervals.
In order to compare
absolute mineral hardnesses one must use other methods. For example,
Vickers or Knoop microhardness, which are measures of indentation hardness.
These methods requires a large expensive loading machine, a high powered
research microscope, and time consuming specimen preparation to determine
the actual hardness of a mineral. As a result, these testing methods are
usually associated with engineering material labs. Microhardness is not
generally used in geology (usually in combination with reflectivity studies
to help in the identification of ore minerals), however, most geologist and
lapidist know the general relationship between Mohs' scale and
microhardness (Table 3). Because of the anisotropy of indentation hardness
with respect to crystallographic orientation and the limitation of the
different microhardness testing methods, generally Knoop's method is used
to determine the indentation hardness of minerals. The shape of the Knoop's
die is such that it allows the testing of different crystallographic
orientations and planes. The Knoop's value is given as an average of
different crystallographic orientations.

Table 3. Mineral Hardnesses.
The problem with Mohs'
scale is that natural diamond is extremely hard, as its value on the Knoop
microhardness scale clearly shows (Table 3, Fig. 4a). When Mohs' scale is
plotted against the log of indentation hardness, minerals 2 to 9 on Mohs'
scale make an approximate linear relationship (Fig. 4b). On Knoop's scale
quartz is only about 10% the indentation hardness of natural diamond, which
is considerable different from what one might expect if Mohs' scale is
taken literally. In actual fact minerals 1 to 9 on Mohs' Scale are all less
than 30% the indentation hardness of diamond. There is no known natural
mineral with a hardness greater than 30% the hardness of diamond, but there
are synthetic materials that are, such as silicon carbide and boron
carbide. These are used as abrasives and are both less than 40-50% the
hardness of natural diamond (Table 4).
Fig. 4 a-b. Knoop vs. Mohs' Hardness &
log Knoop vs. Mohs' Hardness.

Table 4. Misc. Hardnesses.
Mineral hardness is
the most important factor in the lapidary working of rocks and minerals. A
mineral can be scratched by an abrasive of equal or greater hardness than
itself. If this were not the case diamond could not be faceted and
polished, since it is the hardest known substance. When abrasives are uses
on rocks and minerals they are usually held against the surface with a
lapping material. In quality lapidary working of rocks and minerals the
lapping material is always less hard than the material being lapped and,
therefore, the abrasive. This allows for the abrasive to penetrate into the
softer lapping surface and be held there. It is only the abrasive that
actually does the cutting not the lapping material, and it does this
through the process of abrasion. Many materials can be used as a lapping
surface, for example felt, canvas, leather, bone, wood, resin, copper, tin,
bronze, iron, soft steel, and ceramics to name a few. The more durable the
lapping surface the less it needs to be replaced. Copper is an ideal
lapping surface and it holds abrasive very well, either loose on the
surface of charged (impregnated into the metal). Today, 1/4" thick
cold-rolled copper disk laps charged with diamond abrasive can be used in
the faceting of diamonds. Copper, as well as other metals, are used today
in both drill bits and large-diameter core drilling of rocks and minerals
by amateur lapidist (Sinkankas 1984). Copper is also used today for saw
blades and lapidary carving tools (Long 1976).
The ancient Egyptians
had access to copper, which could have been hardened by hammering to make
it more durable (Lucas & Harris 1962). Copper can be cold-working by
hammering to increase the hardness above its cast or fully annealed
condition without cracking of the hardened edge (Desch 1927). It can
actually be increased by more than a factor of 2, harder than annealed pure
iron or low carbon steel (Wertime & Muhly 1980). Copper charged with
quartz abrasive can cut quartz just as copper charged with diamond abrasive
can cut diamond. For most of the history of ancient Egypt quartz was the
hardest mineral that they worked to a large degree. Minerals such as
garnet, which can be slightly harder than quartz (Mh. 7-7.5), were worked
to a small degree. There is some evidence from the Predynastic period, that
beryl (Mh. 7.5-8) was
worked. During this time they appear to have drilled holes into beryl, so
that unworked hexagonal crystals could be mounted in jewelry (Lucas &
Harris 1962). Most likely they were using beryl as an abrasive. They did
not appear to have the ability to work beryl to any major degree until the
Ptolemaic period where corundum abrasive (similar in hardness to silicon
carbide) was more readily available. An example of an ancient Egyptian
lapidary cutting tool is presented in Figure 5 a-b (Hodges 1964) from an
Old Kingdom period tomb (ca. 2500 BC). A reconstruction of the boring drill
(Fig. 5b) consists of a weighted wooden handle and a crescent shaped flint
(cryptocrystalline quartz) cutting head (e.g. UC6134,
UC6135),
and this type of cutting head was primarily used in the manufacturing of
soft stone vessels made of gypsum (Stocks 1993) and steatite.
In soft stones, tools like these would be used to both bore and hollow,
starting with the initial neck hole extending to the bottom of the vase,
which allows access to the interior for hollowing. In indurated and harder
porous limestones, as well as igneous rocks, copper tube coring
drills would be used to cut the center hole, this would then be
followed by the insertion of a lapping tool and abrasive for interior
hollowing (Stocks 1993). Circular ring marks are often observed on the
bottom of stone vessels starting from the middle of the 1st dynasty onward,
representing the depth of the coring barrel's cut (Petrie c1977).
Fig.
5a Tomb representation of vase making using a boring tool. b) Tool
reconstruction (after Hodges 1964).
Although
usually associated with minerals, in most cases Mohs' hardness cannot be
applied to rocks because of the variability of their mineral composition.
However, there are two terms that associate Mohs' scale with rocks in a
lapidary and carving context. These terms are soft stone and hard
stone. These are terms that are loosely associated with rocks that are
monomineralic (i.e. mainly made up of one specific mineral). For
example, rocks such as soapstone (talc), steatite (talc), alabaster
(gypsum), and marble (calcite) are considered soft stones because their
mineral grains have hardnesses that are quite low and can be carved by a
single abrasive stroke. Rocks such are jade (nephrite, jadeite varieties), anorthosite
(feldspar), quartzite (quartz) are considered hard stones since their
mineral constituents have high indentation hardnesses and must be carved by
continuous abrasion or lapping.
Quartz vs.
quartz abrasion
To test that quartz
can be used to cut quartz, a specimen of quartz was obtained and a small
simple scribing tool was made. The specimen (Fig. 6a) is from a 10 cm
intergrown quartz crystal (amethyst) from a vein located in the Thunder Bay
region, Ontario, Canada (McArthur et al. 1993). The specimen is mounted
with epoxy in a polished section casing and has been thick sectioned (top
has been sawn off), so the surface is unpolished but smooth (very minor saw
striations). The c-axis of the quartz crystal is orientated approximately
vertically in the plane of the image. All images were scanned with a
HP4100c or HP3300c flatbed scanner at 500dpi and in colour; a sheet of
acetate was placed over the surface of the scanner for protection of the
glass surface.
Fig.
6a. Polished section of quartz (amethyst).
(scale in cm graduated to 0.5 mm)
A small specimen of
quartz was crushed with a hammer and wedges of clear quartz were obtained
for the head of the scribing tool. Milky looking quartz, indicating
fractures and other structural weaknesses, was avoided. The pointed end of
a round wooden toothpick (d. 2 mm) was sanded off and a razor saw was used
to cut a 3-4 mm long groove in the end. The wedge of quartz was pushed into
the groove and the end was wrapped in coarse thread and cemented with
gap-filling cyanoacrylate glue. About 1.5 to 2 mm of quartz extended from
the tip of the toothpick. Four of these scribing tools were made. A
mechanical drafting pencil was used as a handle for these quartz scribing
tools (fig. 6b).
Fig.
6b. Simple scribing tool.
Grinding consisted of
moving the scribing tool back and forth along the quartz surface at a 30-40º
angle from the perpendicular. To start, a metal ruler was glued to
the section of quartz to be used as a guide, but was later remove once the
depth of the groove was sufficient to hold the scribing tool in line. The
shear stress exerted on the scribing tool was by hand alone and was low,
certainly less than that necessary to break a wooden toothpick. The speed
of grinding was about 3-4 strokes per second and was conducted for twelve 5
min intervals or 1 nonconsecutive hour. About 50% of the grinding time was
done under wet conditions using water and the remaining time was under dry
conditions. The wet and dry grinding did not appear to make much of a
difference other than the sound generated during grinding was considerably
less when water was used. All four of the scribing tools were used, and two
of the quartz wedges broke on the first few initial strokes, most likely
the result of microfractures. Of the other 2 used, the quartz scribing head
of one was worn down to nearly the end of the wooden toothpick and the
other about a third of the way.
The results of this
experiment can be seen in Figure 6c which clearly shows a 2 cm long groove
cutting horizontally across the quartz specimen. A visual inspection was
made of the surface of the quartz specimen with a 10x jewelers loupe. From
this it would be estimated that the horizontal groove is about 1 mm in
width with a depth of about 0.3 to 0.5 mm. The surface of the groove is
smooth and polished and has a rounded shape. The edges of the groove are
quite crisp and show no sign of chipping, except were the groove crosses a
crystal boundary on the far right side of the specimen.
Fig.
6c. Quartz section showing scribed groove.
From this it becomes
clear how quartz can be shaped with quartz abrasive. In this experiment a
cutting rate of about 1 cm per day could be obtained using minimal
pressure. In this case the pressure was insufficient to break a round
wooden toothpick. One can certainly imagine that with increasing pressure
the rate of cutting can be dramatically improved. The ancient Egyptians
using cooper saws, drills, and laps should have no problem cutting quartz
with quartz abrasive, not to mention all the other softer minerals they
worked (which are many).
Quartz
vs. hard modern metal
To test the ability
to scratch quartz with a modern metal with a greater indentation hardness
than quartz, a tungsten carbide pen scriber was used. The specimen (Fig 7a)
is from the same deposit of quartz crystals (amethyst) mentioned above. The
tungsten carbide scriber is seen in Figure 7b. The specimen is mounted with
epoxy in a polished section casing and has been thick sectioned (top has
been sawn off), so the surface is unpolished but smooth (minor saw
striations). The images were scanned with a HP4100c and HP3300c flatbed
scanner at 500dpi and in colour and BW; a sheet of acetate was placed over
the glass surface of the scanner for protection of the glass surface.
Fig.
7a. Polished section of quartz (amethyst).
Tungsten carbide has
an indentation hardness very similar to the mineral corundum (Table 3 and
4) and a fracture toughness about 2-3x that of corundum (Table 5). Compared
to quartz tungsten carbide is about 3 times harder and has a fracture
toughness about 3-4 times higher. Tungsten carbide has no problem
scratching quartz in a single stroke.
Fig.
7b. tungsten carbide scriber.
The quartz specimen
was scribed 6 times with single strokes moving from left to right holding
the pen at about 30º from perpendicular in the plane of the scribing
stroke. The grooves are all very noticeable when wetted and seen in
reflected light and can be seen in Figure 7c. The top 4 horizontal single
stroke scratches were made with pressure exerted from hand and arm alone by
dragging the scriber across the surface using a metal ruler as a guild. The
bottom two single stroke scratches were made with pressure from weight of
the my upper torso and a metal ruler was again used. The pressure exerted
increases from very little in the case of the top line to moderate on the
bottom line. In Figure 8 another specimen was used and a high moderate
force was applied, but no ruler was used. The magnitude of the force was
restricted by the difficulty of holding a 4 cm diameter polish section
casing and ruler in one hand and the application of a forceful scribing
stroke with the other. After the scribing was completed the surface of the
specimens were cleaned of debris with water and a fine copper brush.
Fig.
7c. Quartz section showing scribed grooves.
Although the depth of
the scratches cannot be clearly seen in the above image a visual inspection
of the surface was made with a 10x jewelers loupe. From this an estimate of
the 6 horizontal scratches can be made in Figure 7c. Starting from the top
to bottom the lines range from about 0.05 to 0.25 mm in width with a depths
less than and up to about 0.075 mm. The scribed lines are quite crisp and
show little chipping and pitting of the quartz on the lines edges, but do
show some pitting on the bottom surface. The scratch in Figure 8 is about
0.35 to 0.4 mm in width and 0.10 to 0.15 mm in depth. This scribed line
shows some pitting and chipping of the quartz.
Fig.
8. Close-up of deep groove.
c) Mineral
Fracture Toughness
Mineral toughness is
defined as a qualitative value that represents a minerals resistance to
fracture when exposed to a high strain rate impact stress. Mineral
toughness is different from mineral hardness, for example some minerals
that have high indentation hardnesses are fragile. They chip and fracture
easily and require care when being worked to minimize potential damage.
Topaz is an example of such a mineral, with an indentation hardness twice
that of quartz, but also very susceptible to fracturing. Other minerals of
lower hardness are less susceptible to fracturing and are ideal for
lapidary carving and the making of thin-rock sections. An example of such a
mineral is nephrite (jade), which is the 2nd toughest naturally occurring
mineral with an indentation hardness similar to that of feldspar. The
fracture toughness of minerals are measured with a Charpy V-notch testing
apparatus and in units of MPa(m)1/2. Minerals can be graded in
terms of their fracture toughness from poor, fair, good, excellent,
and exceptional. Table 5 lists these grades for common minerals as well as
some other misc. materials.

Table 5. Mineral Toughness.
The gradings listed
in Table 5 are of particular importance in understanding how the Egyptians
carved hardrocks. We know that many of the hardrocks used by the ancient
Egyptians were feldspar rich (e.g. granite
and granodiorites
from Aswan, anorthosite
and diorite gneisses from Chephren's quarry). From Table 6 it can be
seen that feldspar in a very brittle mineral and highly susceptible to
fracture upon impact. The reason why feldspar is so susceptible to impact
stresses is because of the fact that it has 2 good cleavage planes.
Impacting the surface of an anorthosite or diorite leads to carving of the
frontal or cubic stylization that are associated with it, for example
Khafre's diorite gneiss statue at the Cairo museum (Fig 9).
Fig.
9. Coarse gneissic texture on the diorite gneiss statue of Khafre, 4th
Dynasty. (Cairo Museum, Photograph by Jon Bodsworth The
Egypt Archive)
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