Observations of How Background Multiplier affects S(q)
Notes Over S(q) being changed by background Multiplier
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1. When the program is first started the background multiplier value is
Background = .304
Peak 1 intensity= 1.55
Peak 2 intensity= 1.8
Peak 3 intensity= 5.225
Peak 4 intensity= 3.14
Then we change the background values to see how the graph of s(q) changes.
Background 2= .1
Peak 1 intensity= 1.45
Peak 2 intensity= 1.7
Peak 3 intensity= 4.7575
Peak 4 intensity= 2.887
Background 3= .5
Peak 1 intensity= 1.625
Peak 2 intensity= 1.9375
Peak 3 intensity= 5.7625
Peak 4 intensity= 3.44
Background 4= .7
Peak 1 intensity= 1.75
Peak 2 intensity= 2.1075
Peak 3 intensity= 6.465
Peak 4 intensity= 3.825
Background 5= 1.5
Peak 1 intensity= 2.816
Peak 2 intensity= 3.621
Peak 3 intensity= 12.875
Peak 4 intensity= 7.325
Background 6= .9
Peak 1 intensity= 1.905
Peak 2 intensity= 2.327
Peak 3 intensity= 7.38
Peak 4 intensity= 4.327
Background 7= 1.1
Peak 1 intensity= 2.115
Peak 2 intensity= 2.62
Peak 3 intensity= 8.61
Peak 4 intensity= 5
Observations:
At a first glance it can be seen that when the background mult. is increased the intensity of the peaks will also increase.However after plotting the the data on the excel graph attached below we can also see that as the background mult. increases the relative peak separation in the y direction will also increase. After further analysis we noticed that there is a parabolic relation between peak heights when the multiplier is changed. We also found that there are constraints to the multiplier in which we can increase the multiplier until 2.123, but at that point the graph will become a line and any value
larger will make the graph be inverted. We observed for background mult. values of 0-2 the peaks will increase in intensity. While the Values between 2 and 2.123 will make the intensity values decrease until it is a line.
After taking and analyzing data I did not see any shift of the graph in the x direction. These values stayed constant no matter what the multiplier value was.
peak1= .867 q(1/A)
peak2= .909 q(1/A)
peak3= 1.229 q(1/A)
peak4= 1.474 q(1/A)
The Background mult. is a multiplier on the intensity of the dark empty chamber before it is subtracted from the detector image.The background needs to be subtracted so that when we do our final analysis our data will not include the Dark images or the container. This is considered to be a correction to our data.
Excel Graph of Data
Above is a picture of the graph of S(q) The background mult. is labeled and so are peaks 1-4.