Hi,
Make an XY-scatter plot with the following data (Series 1, shown as x,
y-pairs); this forms the triangular boundary. Format the line to suit to
your taste. In “Chart Optionsâ€/ “Axes†Tab, uncheck X- and Y- axes to hide
them. Similarly get rid of the borders of the plot and chart areas, and
resize the areas to get a triangle that looks ‘equilateral’ on the screen (!)
Series 1:
0.0, 0.00
0.5, 0.86603
1.0, 0.00
0.0, 0.00
Add 5 more series to the above graph with the following data (these form the
grids; format the lines appropriately)
Series 2:
0.05, 0.086603
0.10, 0.00
0.55, 0.77942
0.45, 0.77942
0.90, 0.00
0.95, 0.086603
0.05, 0.086603
Series 3:
0.10, 0.17321
0.20, 0.00
0.60, 0.69282
0.40, 0.69282
0.80, 0.00
0.90, 0.17321
0.10, 0.17321
Series 4:
0.15, 0.25981
0.30, 0.00
0.65, 0.60622
0.35, 0.60622
0.70, 0.00
0.85, 0.25981
0.15, 0.25981
Series 5:
0.20, 0.34641
0.40, 0.00
0.70, 0.51962
0.30, 0.51962
0.60, 0.00
0.80, 0.34641
0.20, 0.34641
Series 6:
0.25, 0.43301
0.50, 0.00
0.75, 0.43301
0.25, 0.43301
Plotting the data:
Please note that the above approach assumes that the compositions of ternary
mixtures are expressed in terms of the fraction (and not percentage) of
components A and B (i.e., fA and fB); so fC = 1-fA-fB.
In say A21….. and B21 ….., enter fA and fB respectively. In C21 enter the
formula = 1-A21-B21 (This column is only for completeness and is not really
necessary for the plot. However, if you do create this column, you could
simplify the formulas below by replacing “(1-A21-B21)†with “C21â€).
In D21 enter the formula, =B21+(1-A21-B21)*COS(PI()/3) [x-value of the
data point]
In E21 enter the formula, =(1-A21-B21)*SIN(PI()/3) [y-value of the data
point]
Auto-fill the formulas down to the last row.
Add a series to the blank ternary plot area you have already created, with
E21:Elastrow (y-range) vs D21
lastrow (x-range).
The left-hand-side bottom, right-hand-side bottom and the top corners of the
triangle correspond to pure A, B, and C respectively.
Regards,
B. R. Ramachandran