White gold alloys:
Dippal Manchanda Birmingham Assay Office
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Birmingham B
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SB
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England Email:
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Steven Henderson Metallurgical Department
, Cookson Precious Metals Ltd, Birmingham B1 3NZ,
England
A numerical grading system has been established for white gold alloys using the ASTM Yellowness Index D1925, an existing colour quality standard. The Index is calculated from the CIE (International Commission of Illumination) Tri-stimulus values, X, Y and Z, and the scale is linear, so that as the number decreases, the alloy becomes whiter. This Index provides values that have good correlation with visual assessments and permits easy differentiation of colour without knowledge of an alloys composition. The use of a spectrophotometer instrument provided a quick means of sample colour measurement, with high precision and accuracy.
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What is Colour?
Colour is an occurrence that results from the interaction
between light energy, an object and an observer, Figure 1.
These three factors are collectively referred to as the
Observer Situation (1).
This situation influences how colour is perceived.
Light Source: Light can be described in terms of the
energy it emits at each of the wavelengths in the visible
spectrum e.g. a yellowed light emits a greater amount of
light between 560 - 590 nanometres.
Object: An object will reflect some wavelengths of light
better than others (absorbing these others). This will
change the observers perception of the objects colour
e.g. a blue object appears blue because it reflects more
blue wavelengths of light, while absorbing the green and
red wavelengths of light. This is commonly referred to as
Spectral Reflectance.
Observer: One observers perception of colour can differ
from another observers due to variation and deficiencies
in human colour perception.
Colour is only one attribute of Appearance, which is
described by 2 key categories;
Chromatic Attributes: Characteristics relating to colour
Hue: The property by which we differentiate one colour
from another e.g. red from blue
Value: The lightness of a colour when viewed in daylight
and marked 0 (black) to 10 (white)
Chroma: The degree of departure of a colour from a grey
of the same value. Colours with a low chroma are weak,
while colours with a strong chroma are saturated.
Geometric Attributes: Characteristics describing how an
object modifies the reflected light
Gloss: The attribute of an objects surface that accounts
for lustrous or mirror-like reflection in conjunction with
specular reflection (see below)
Haze: Is the object transparent or translucent to light. If it
is and the light is dispersed on passing through the object,
this is described as a haze effect
Texture: Is the objects surface flat and smooth. This will
help control light reflection
Shape: Is the objects surface flat or curved. The shape will
also effect the light reflection
Viewing Angle: Altering the angle at which the object
surface is viewed will effect the colours observed
Surround: The colour of the surroundings a sample is
viewed in can influence colour perception as colours of
medium value and chroma will appear to change in the
direction of lighter, brighter or darker, less saturated
colours surrounding them.
These categories both effect the observers visual perception
of an object.
Metallic surfaces, e.g. gold, have a unique colour in their
specular reflectance, which is the colour of the metal. Specular
reflection occurs when a small fraction of the reflected light (1
- 10%) from the object surface remains unchanged and appears
as a white highlight to an observer (a mirror-like reflection).
2.1 Defining Colour
As the typical human eye can discern seven to ten million
colours, we require an ordered method to relay colour
information in a useful way. Several mathematical systems
exist that can now define colour, providing specific data
points or co-ordinates that can describe any colour.
The Munsell Colour Order System (2) was the first system to
communicate data in a way that could be readily understood.
This system uses the chromatic attributes Hue, Value and
Chroma (see above), to specify colours and highlight the
relationship between the colours. Other systems have since
been developed and include CIE Colour Space and CIELab.
2.1.1 The CIE System
The International Commission on Illumination, commonly
abbreviated to CIE, developed a system that took in to
account the interaction between the elements shown in The
Observer Situation, Figure 1, that they believed established
the colour of an object. This system subsequently defined a
number of key points such as:
Standard illumination for colour comparison and the
conditions for a Standard Observer
Calculation of the Tristimulus values (X, Y and Z), which
describes the response to a specific colour by the human
visual system. However, these values were not designed to
be a practical means for describing an objects colour but
rather a means to determine if two colours having the
same tristimulus values matched (using a standard
illuminant and observer).
Converting the Tristimulus values to the more easily
understood Chromaticity co-ordinates (x, y and Y), that are
often represented on a graph (referred to as a colour space)
The chromaticity co-ordinates, x and y, referring to hue and
chroma, are a conversion of the tristimulus values and were
represented on the CIE 1931 Chromaticity Diagram. The third
dimension (projecting out from the paper) is tristimulus Y, or
Luminosity, which represents the brightness of the colour.
This diagram mapped out the full range of colours that
were perceived by the human visual system. Colours near the
centre were considered weak (less saturated) and
approaching neutrality (colours of white, black and grey). As
a colour moved towards the edge of the diagram, the
saturation level increased.
Refinement of this work resulted in the CIE 1976 Uniform
Colour Space (3), Figure 2. The shape of the colour space has
changed from the 1931 diagram, resulting in equal spatial
distances on the graph equating to equal visual colour
differences.
This method involved converting the tristimulus values (X,
Y and Z) to an alternative set of chromaticity co-ordinates, u'
and v'.
u' = 4 X / ( X + 15 Y + 3 Z )
v' = 9 Y / ( X + 15 Y + 3 Z )
2.1.2 The CIELab System
An alternative, popular method for defining colours is the
CIELab Colour System. This system is based on the premise of
there being three different types of colour receptor in the
eye (Red, Blue and Green). When these receptors are excited,
the brain interprets the three sets of signals as follows; light
or dark, red or green and yellow or blue (4), Figure 3. The
coordinates selected to represent these signals are
L*: Brightness (black if the value is 0, 100 if the colour is
white)
a*: Red colouring if the value is positive, green colouring
if the value is negative
b*: Yellow colouring if the value is positive, blue
colouring if the value is negative
The magnitude of the val (...truncated)