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The two figures below plot exactly the same N V /N - 1/T data for a material. Th

ID: 3202854 • Letter: T

Question

The two figures below plot exactly the same NV/N - 1/T data for a material. The Y axes are different and show two ways to plot log data. You only need to use one of the two plots to work this problem. It is your choice which plot you use.

a. Explain what it means to draw the best line through the data points. Use a ruler to draw the best straight line through the data points.

b. Pick and circle two points on this best fit line that are on opposite ends of the line. For this problem, it is unlikely that any of the data points shown on the plot as one of the two points.

c. Use the two points from part b to calculate the slope.

d. Use the slope from part c to calculate QV (in units of eV/vacancy). QV is between 0.5 and 5 eV/vacancy.

e. Determine NV/N for 1250 °C. Explain how you got your answer.

1x10-2 1x10 1x10 1x10 1x10 1x10 2x10 3x10 4x10 5x10 6x10 7x10 8x10 9x10 1x10 1/T (K1)

Explanation / Answer

(a) To draw a best fit line implies to draw a regression line.The purpose of the graph is to visually display relationships which may not be apparent from data tables.

To draw a trend line, linear regression or best-fit line, then draw a line through data points on a scatter plot.