Acoustic Sensors. Using the Excel data file that accompanies this assignment, consider a pair of quartz thickness shear mode (TSM) sensors, where one sensor is used to detect proteins in a test sample, and the other is used as a reference. After establishing a baseline reading, the sensor is exposed sequentially to test samples containing 100, 200, and 300 ng/ml of analyte. a. Using the Sauerbrey equation (slide #14), what is the mass density (mass/area) detection resolution for this sensor? (Hint: Estimate fo and find out frequency resolution A/) b. A thermometer was used to measure a temperature change of 1 degree Celcius. What is the c. After using the reference sensor to correct for thermal drift, what is the uncompensated drift rate d. thermal coefficient of resonant frequency for the sensor? in the active sensor? What is the limit of determination (LOD) for detected analyte concentration? What is the mass density of analyte deposited on the sensor for the 100 ng/ml solution? e. Time (sec Active fo (Hz) Time (sec) Reference fo (Hz) 9800020.5 9800043.7 9800041.7 221.42815 9999989.2 10000026.6 10000026.6 10000020.6 10000020 10000028.2 10000066.8 10000053.4 10000074.6 10000093.2 10000084.8 10000086.8 10000112.4 10000086.2 10000100.8 10000133.6 10000129 10000131.4 10000147.8 10000160.8 10000167.6 10000152.6 10000172.2 10000171.6 10000189.2 10000199.6 10000224.2 10000235.6 10000243.8 10000227.8 10000254.2 10000264 10000246.8 10000260.4 10000259.4 10000300.8 10000310 10000286.4 10000307.6 10000299.8 10000317.2 10000333.8 10000334 10000330.4 10000340.6 10000375.8 10000355.8 10000384 10000376.2 10000378.6 9800012.1 9800037.3 9800074.5 9800040.9 9800078.5 9800048.5 9800043.3 :3.1 9800083.3 9800132.1 9800126.5 9800147.3 9800142.1 9800153.7 9800202.9 9800149.3 9800154.9 9800199.3 9800214.5 9800239.3 9800236.9 9800240.9 9800239.3 9800272.5 9800262.5 9800228.1 9800298.1 9800284.1 9800244.5 9800262.5 9800300.1 9800284.9 9800319.3 9800334.1 9800347.7 9800366.1 9800307.3 59395373997511357311151557993957759133959-55- 605861750474069037840688072818859008394642206 477249413909412671801657201230661694872492023 333333344343444444455444555555555555556656666 15937159371593715937-593715937159371593715937 000112223344455666778889900011222334445566677 222222222222222222222222233333333333333333333 282632884644828864692482280042266424643882522 7 413 74 31415545 7 8, 0 4133173 0101244 241027 677801 555566 0 56578001989.0 6 7 0 3 3 0101000 0:000:00 15937159371593715937-593715937159371593715937 000112223344455666778889900011222334445566677 222222222222222222222222233333333333333333333 513171999199393351971399997171555997-79_155335555 2872584664245255648963804094528284656982608314620 7827496094404141256405197950038295906708924778759 15937159371593715937159371593715937-5937_59371593 8889900011222334445566677888990001122233444556667 3333344444444444444444444444445555555555555555555 6628861568665426242464688422686475428024387646348 4 2 6 6068812 8 1171 177401887 283801345 878901124 655599980 8888:888899999:999999990 763:19:4-53 7781142468 11110088881 00 0 2 1 3 6 20 2 2 000 00 1 11 2 0 0 3 3 000 10 001010 00:0:0 000:000000000:000000000 0 159371593715937159371593715937-593715937159371593 8889900011222334445566677888990001122233444556667 3333344444444444444444444444445555555555555555555 0 200 ng/ml 10003173.8 10003176.2 10003171.6 10003171.4 10003180.2 10003177.8 10003208 10003202.4 10003214.4 10003241 10003227 10003226.2 10003240 10003248.2 10003260.4 10003281 10003268.6 10003302.4 10003305.8 10003317.2 10003303.4 10003316.6 10003318 10003343.2 10003363.6 10003366.4 10003363.2 10003380.6 10003390.8 10003369 10003413.4 10003399.4 10003398 10003404 10003436.4 10003432.2 9800949.3 9800958.9 9800983.7 9800980.9 9800974.9 9801024.5 9800998.1 9801061.3 9801055.7 9801065.7 9801079.7 9801048.9 9801098.5 9801043.3 9801059.7 9801116.5 9801077.7 9801088.9 9801116.9 9801103.3 9801122.5 9801134.1 9801127.7 9801102.5 9801116.1 9801148.5 9801176.5 9801163.7 9801154.9 9801199.3 9801219.7 9801156.1 9801225.3 9801200.1 9801204.5 9801236.5 9801198.1 9801202.5 9801210.5 9801285.3 9801225.3 9801238.5 9801246.1 9801264.1 9801304.1 9801322.1 9801286.1 9801322.9 9801276.9 60.5 60.9 10003469 10003462.4 10003453 10003476.2 10003475.2 10003488.6 10003491.6 72.9 72.9 10003505 10003504.6 10003513.8 10003546 10004543.4 10004541 10004561.6 10004581.6 10004584.8 10004567 10004603.8 10004616.4 10004606 10004624.6 10004636 10004641.2 10004625.2 10004637.6 10004677.6 10004679.8 10004661.8 10004700.8 10004708.2 10004679.8 10004688.4 10004733.8 10004730.6 10004726.2 10004756.4 10004747.8 10004758.8 10004762.4 10004783.8 10004781 10004801.6 10004790.2 10004817.8 10004823.6 10004831 10004810 10004828.2 10004837.6 10004834.4 10004859.6 10004862.6 10004880.4 10004894 10004891.2 10004913.6 10004888.6 10004926.6 10004924 10004943.6 9801306.9 9801340.1 9801289.3 9801329.3 9801355.3 9801347.3 9801338.9 9801397.3 9801338.5 9801411.3 9801344.5 9801394.5 9801377.7 9801426.9 9801444.5 9801404.1 9801423.3 9801468.5 9801418.5 9801479.3 9801422.5 9801429.3 9801442.1 9801486.9 9801442.9 9801495.3 9801482.9 9801499.3 9801531.7 9801523.7 9801514.9 9801554.1 9801498.9 9801509.3 9801518.1 9801586.9 9801562.9 9801554.1 9801532.9 9801608.1 9801558.9 9801594.9 9801631.3 9801626.5 9801599.7 9801629.3 9801653.3 9801604.9 9801621.7 88.5 2 Acoustic Sensors. Using the Excel data file that accompanies this assignment, consider a pair of quartz thickness shear mode (TSM) sensors, where one sensor is used to detect proteins in a test sample, and the other is used as a reference. After establishing a baseline reading, the sensor is exposed sequentially to test samples containing 100, 200, and 300 ng/ml of analyte. a. Using the Sauerbrey equation (slide #14), what is the mass density (mass/area) detection resolution for this sensor? (Hint: Estimate fo and find out frequency resolution A/) b. A thermometer was used to measure a temperature change of 1 degree Celcius. What is the c. After using the reference sensor to correct for thermal drift, what is the uncompensated drift rate d. thermal coefficient of resonant frequency for the sensor? in the active sensor? What is the limit of determination (LOD) for detected analyte concentration? What is the mass density of analyte deposited on the sensor for the 100 ng/ml solution? e. Time (sec Active fo (Hz) Time (sec) Reference fo (Hz) 9800020.5 9800043.7 9800041.7 221.42815 9999989.2 10000026.6 10000026.6 10000020.6 10000020 10000028.2 10000066.8 10000053.4 10000074.6 10000093.2 10000084.8 10000086.8 10000112.4 10000086.2 10000100.8 10000133.6 10000129 10000131.4 10000147.8 10000160.8 10000167.6 10000152.6 10000172.2 10000171.6 10000189.2 10000199.6 10000224.2 10000235.6 10000243.8 10000227.8 10000254.2 10000264 10000246.8 10000260.4 10000259.4 10000300.8 10000310 10000286.4 10000307.6 10000299.8 10000317.2 10000333.8 10000334 10000330.4 10000340.6 10000375.8 10000355.8 10000384 10000376.2 10000378.6 9800012.1 9800037.3 9800074.5 9800040.9 9800078.5 9800048.5 9800043.3 :3.1 9800083.3 9800132.1 9800126.5 9800147.3 9800142.1 9800153.7 9800202.9 9800149.3 9800154.9 9800199.3 9800214.5 9800239.3 9800236.9 9800240.9 9800239.3 9800272.5 9800262.5 9800228.1 9800298.1 9800284.1 9800244.5 9800262.5 9800300.1 9800284.9 9800319.3 9800334.1 9800347.7 9800366.1 9800307.3 59395373997511357311151557993957759133959-55- 605861750474069037840688072818859008394642206 477249413909412671801657201230661694872492023 333333344343444444455444555555555555556656666 15937159371593715937-593715937159371593715937 000112223344455666778889900011222334445566677 222222222222222222222222233333333333333333333 282632884644828864692482280042266424643882522 7 413 74 31415545 7 8, 0 4133173 0101244 241027 677801 555566 0 56578001989.0 6 7 0 3 3 0101000 0:000:00 15937159371593715937-593715937159371593715937 000112223344455666778889900011222334445566677 222222222222222222222222233333333333333333333 513171999199393351971399997171555997-79_155335555 2872584664245255648963804094528284656982608314620 7827496094404141256405197950038295906708924778759 15937159371593715937159371593715937-5937_59371593 8889900011222334445566677888990001122233444556667 3333344444444444444444444444445555555555555555555 6628861568665426242464688422686475428024387646348 4 2 6 6068812 8 1171 177401887 283801345 878901124 655599980 8888:888899999:999999990 763:19:4-53 7781142468 11110088881 00 0 2 1 3 6 20 2 2 000 00 1 11 2 0 0 3 3 000 10 001010 00:0:0 000:000000000:000000000 0 159371593715937159371593715937-593715937159371593 8889900011222334445566677888990001122233444556667 3333344444444444444444444444445555555555555555555 0 200 ng/ml 10003173.8 10003176.2 10003171.6 10003171.4 10003180.2 10003177.8 10003208 10003202.4 10003214.4 10003241 10003227 10003226.2 10003240 10003248.2 10003260.4 10003281 10003268.6 10003302.4 10003305.8 10003317.2 10003303.4 10003316.6 10003318 10003343.2 10003363.6 10003366.4 10003363.2 10003380.6 10003390.8 10003369 10003413.4 10003399.4 10003398 10003404 10003436.4 10003432.2 9800949.3 9800958.9 9800983.7 9800980.9 9800974.9 9801024.5 9800998.1 9801061.3 9801055.7 9801065.7 9801079.7 9801048.9 9801098.5 9801043.3 9801059.7 9801116.5 9801077.7 9801088.9 9801116.9 9801103.3 9801122.5 9801134.1 9801127.7 9801102.5 9801116.1 9801148.5 9801176.5 9801163.7 9801154.9 9801199.3 9801219.7 9801156.1 9801225.3 9801200.1 9801204.5 9801236.5 9801198.1 9801202.5 9801210.5 9801285.3 9801225.3 9801238.5 9801246.1 9801264.1 9801304.1 9801322.1 9801286.1 9801322.9 9801276.9 60.5 60.9 10003469 10003462.4 10003453 10003476.2 10003475.2 10003488.6 10003491.6 72.9 72.9 10003505 10003504.6 10003513.8 10003546 10004543.4 10004541 10004561.6 10004581.6 10004584.8 10004567 10004603.8 10004616.4 10004606 10004624.6 10004636 10004641.2 10004625.2 10004637.6 10004677.6 10004679.8 10004661.8 10004700.8 10004708.2 10004679.8 10004688.4 10004733.8 10004730.6 10004726.2 10004756.4 10004747.8 10004758.8 10004762.4 10004783.8 10004781 10004801.6 10004790.2 10004817.8 10004823.6 10004831 10004810 10004828.2 10004837.6 10004834.4 10004859.6 10004862.6 10004880.4 10004894 10004891.2 10004913.6 10004888.6 10004926.6 10004924 10004943.6 9801306.9 9801340.1 9801289.3 9801329.3 9801355.3 9801347.3 9801338.9 9801397.3 9801338.5 9801411.3 9801344.5 9801394.5 9801377.7 9801426.9 9801444.5 9801404.1 9801423.3 9801468.5 9801418.5 9801479.3 9801422.5 9801429.3 9801442.1 9801486.9 9801442.9 9801495.3 9801482.9 9801499.3 9801531.7 9801523.7 9801514.9 9801554.1 9801498.9 9801509.3 9801518.1 9801586.9 9801562.9 9801554.1 9801532.9 9801608.1 9801558.9 9801594.9 9801631.3 9801626.5 9801599.7 9801629.3 9801653.3 9801604.9 9801621.7 88.5 2