User:Allison K. Alix/Notebook/Thesis Research/2013/10/29: Difference between revisions
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|style="background-color: #EEE"|[[Image:owwnotebook_icon.png|128px]]<span style="font-size:22px;"> | |style="background-color: #EEE"|[[Image:owwnotebook_icon.png|128px]]<span style="font-size:22px;"> October 29th 2013</span> | ||
|style="background-color: #F2F2F2" align="center"|<html><img src="/images/9/94/Report.png" border="0" /></html> [[{{#sub:{{FULLPAGENAME}}|0|-11}}|Main project page]]<br />{{#if:{{#lnpreventry:{{FULLPAGENAME}}}}|<html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>[[{{#lnpreventry:{{FULLPAGENAME}}}}{{!}}Previous entry]]<html> </html>}}{{#if:{{#lnnextentry:{{FULLPAGENAME}}}}|[[{{#lnnextentry:{{FULLPAGENAME}}}}{{!}}Next entry]]<html><img src="/images/5/5c/Resultset_next.png" border="0" /></html>}} | |style="background-color: #F2F2F2" align="center"|<html><img src="/images/9/94/Report.png" border="0" /></html> [[{{#sub:{{FULLPAGENAME}}|0|-11}}|Main project page]]<br />{{#if:{{#lnpreventry:{{FULLPAGENAME}}}}|<html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>[[{{#lnpreventry:{{FULLPAGENAME}}}}{{!}}Previous entry]]<html> </html>}}{{#if:{{#lnnextentry:{{FULLPAGENAME}}}}|[[{{#lnnextentry:{{FULLPAGENAME}}}}{{!}}Next entry]]<html><img src="/images/5/5c/Resultset_next.png" border="0" /></html>}} | ||
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7.9 particles x 1 mol/6.02x10<sup>23</sup> particles x 1/6.93 x 10<sup>-16</sup>L = 1.89x10<sup>-8</sup>M | 7.9 particles x 1 mol/6.02x10<sup>23</sup> particles x 1/6.93 x 10<sup>-16</sup>L = 1.89x10<sup>-8</sup>M | ||
NOTE: 6.93x10<sup>-16</sup> is the focal volume of the spot, previous calculated | |||
1.89x10<sup>-8</sup>M x 1nM/10<sup>-9</sup>M = 18.9nM | 1.89x10<sup>-8</sup>M x 1nM/10<sup>-9</sup>M = 18.9nM | ||
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* The second thing to check is that the known concentration of MB is actually what was calculated. Although these samples were made straight from a stock solution with a known concentration, there could have been error during preparation, that is affecting the actual concentration that is not being accounted for. To check the concentrations, new MB samples will be prepared, and their UV-Vis spectra will be obtained | * The second thing to check is that the known concentration of MB is actually what was calculated. Although these samples were made straight from a stock solution with a known concentration, there could have been error during preparation, that is affecting the actual concentration that is not being accounted for. To check the concentrations, new MB samples will be prepared, and their UV-Vis spectra will be obtained | ||
==Data== | |||
[[Image:Green_bead_igor_curve.png]] | |||
The above image is an FCS curve showing the average diffusion time of 9 10000X diluted green bead samples. τ<sub>D</sub> was calculated to be 58.7ms | |||
==Calculations== | |||
'''radius of the spot''' | |||
τ<sub>D</sub> = (ω<sub>0</sub><sup>2</sup>3ηπd)/4kT | |||
where τ<sub>D</sub> is the diffusion time of the sample | |||
ω<sub>0</sub> is the radius of the spot | |||
η is the viscosity of the solvent (water), 0.001028kg/m s | |||
d is the diameter of the particle | |||
k is Boltzmann's constant = 1.3806488 × 10-23 m<sup>2</sup> kg s<sup>-2</sup>-2 K<sup>-1</sup> | |||
T is the temperature of the room (18.7 °C, 291.7K) | |||
ω<sub>0</sub> = sqrt([(0.05874s(4)(1.3806488x10<sup>-23</sup>m<sup>2</sup>kg/s<sup>2</sup>K)(291.7K)]/[3(0.001028kg/m s)(π)(2x10<sup>-7</sup>m)]) | |||
ω<sub>0</sub> = 0.698μm | |||
'''volume of the spot''' | |||
V =4/3(π)r<sup>3</sup> | |||
= 4/3(π)(6.98x10<sup>-7</sup>)<sup>3</sup> | |||
= 1.42x10<sup>-18</sup> x 1000L/1m<sup>3</sup> | |||
= 1.42x10<sup>-15</sup>L | |||
{| class="wikitable" | |||
|- | |||
! [MB](nM) !! %MB open !! | |||
|- | |||
| 22.4 || 39.3 | |||
|- | |||
| 17.9 || 26.2 | |||
|- | |||
| 14.9 || 30.6 | |||
|- | |||
| 12.8 || 34.1 | |||
|- | |||
| 11.2 || 50.7 | |||
|- | |||
| 9.9 || 40.1 | |||
|- | |||
| 8.9 || 48.2 | |||
|- | |||
| 8.2 || 62.3 | |||
|} | |||
Revision as of 13:09, 5 November 2013
October 29th 2013 | <html><img src="/images/9/94/Report.png" border="0" /></html> Main project page <html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>Previous entry<html> </html>Next entry<html><img src="/images/5/5c/Resultset_next.png" border="0" /></html> | |||||||||||||||||||
To Do
Calculating %MB openExample: N = 7.9 particles 7.9 particles x 1 mol/6.02x1023 particles x 1/6.93 x 10-16L = 1.89x10-8M NOTE: 6.93x10-16 is the focal volume of the spot, previous calculated 1.89x10-8M x 1nM/10-9M = 18.9nM Actual concentration of this sample was 22.4nM (According to dilution calculations) %MB open = 18.9nM/22.4nM x 100% = 84.4nM
DataThe above image is an FCS curve showing the average diffusion time of 9 10000X diluted green bead samples. τD was calculated to be 58.7ms Calculationsradius of the spot τD = (ω023ηπd)/4kT where τD is the diffusion time of the sample ω0 is the radius of the spot η is the viscosity of the solvent (water), 0.001028kg/m s d is the diameter of the particle k is Boltzmann's constant = 1.3806488 × 10-23 m2 kg s-2-2 K-1 T is the temperature of the room (18.7 °C, 291.7K) ω0 = sqrt([(0.05874s(4)(1.3806488x10-23m2kg/s2K)(291.7K)]/[3(0.001028kg/m s)(π)(2x10-7m)]) ω0 = 0.698μm volume of the spot V =4/3(π)r3 = 4/3(π)(6.98x10-7)3 = 1.42x10-18 x 1000L/1m3 = 1.42x10-15L
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