User:Allison K. Alix/Notebook/Thesis Research/2013/07/18
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  ==  +  ==Calculating %DNA hybridized on AuNP from 7/16== 
  +  
+  Calculating the surface area of 1 AuNP  
+  Surface Area of a sphere = 4πr2, r = 5nm  
+  4π(5x109m)2 = 3.14 x 1016m2 = 314nm2  
+  
+  Calculating the # of AuNP in 240.7μL 29.67nM solution  
+  29.67 x 109mol/L x 240 x 106L x 6.02x1023 AuNP/mol = 4.299 x 1012 AuNP  
+  
+  Calculating the Total Surface Area Available for DNA Attachment  
+  4.299 x 1012 AuNP x 3.14x1016m2/1 AuNP = 0.001349886 m2  
+  
+  Calculating the Number of Moles of DNA Available to Attach  
+  2.225x106moles/L x 240.7x106L = 5.3555575 x 1010 moles DNA  
+  
+  Calculating oligonucleotide density on each particle (theoretical)  
+  5.3555575x1010moles DNA/0.001349886m2 AuNP = 3.967x107 moles DNA/m2 AuNP (OR 39.67pmol DNA/cm2 AuNP)  
+  
+  Calculating oligonucleotide density on each particle (actual)  
+  Sample A1  
+  moles DNA = (1.827x107M x 350 x 106L) = 6.40x1011 moles  
+  6.40x1011 moles/0.001349886m2 AuNP = 4.74x108moles DNA/m2AuNP  
+  Sample B  
+  moles DNA = 4.44x108M x 500 x 106L = 2.22x1011 moles  
+  2.22x1011 moles/0.001349886m2 AuNP = 1.64x108moles DNA/m2AuNP  
+  Sample A2  
+  moles DNA = 1.42x1010  
+  1.42x1010/0.001349886m2 AuNP = 1.05x107moles DNA/m2AuNP  
+  
+  Calculating the percentage of DNA hybridized in each sample  
+  Sample A1  
+  4.74x108moles DNA/m2AuNP/3.967x107 moles DNA/m2 AuNP = 11.95%  
+  Sample B  
+  1.64x108moles DNA/m2AuNP/3.967x107 moles DNA/m2 AuNP = 4.12%  
+  Sample A2  
+  1.05x107moles DNA/m2AuNP/3.967x107 moles DNA/m2 AuNP = 26.5%  
Revision as of 11:03, 19 July 2013
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Calculating %DNA hybridized on AuNP from 7/16Calculating the surface area of 1 AuNP Surface Area of a sphere = 4πr2, r = 5nm 4π(5x109m)2 = 3.14 x 1016m2 = 314nm2 Calculating the # of AuNP in 240.7μL 29.67nM solution 29.67 x 109mol/L x 240 x 106L x 6.02x1023 AuNP/mol = 4.299 x 1012 AuNP Calculating the Total Surface Area Available for DNA Attachment 4.299 x 1012 AuNP x 3.14x1016m2/1 AuNP = 0.001349886 m2 Calculating the Number of Moles of DNA Available to Attach 2.225x106moles/L x 240.7x106L = 5.3555575 x 1010 moles DNA Calculating oligonucleotide density on each particle (theoretical) 5.3555575x1010moles DNA/0.001349886m2 AuNP = 3.967x107 moles DNA/m2 AuNP (OR 39.67pmol DNA/cm2 AuNP) Calculating oligonucleotide density on each particle (actual) Sample A1 moles DNA = (1.827x107M x 350 x 106L) = 6.40x1011 moles 6.40x1011 moles/0.001349886m2 AuNP = 4.74x108moles DNA/m2AuNP Sample B moles DNA = 4.44x108M x 500 x 106L = 2.22x1011 moles 2.22x1011 moles/0.001349886m2 AuNP = 1.64x108moles DNA/m2AuNP Sample A2 moles DNA = 1.42x1010 1.42x1010/0.001349886m2 AuNP = 1.05x107moles DNA/m2AuNP Calculating the percentage of DNA hybridized in each sample Sample A1 4.74x108moles DNA/m2AuNP/3.967x107 moles DNA/m2 AuNP = 11.95% Sample B 1.64x108moles DNA/m2AuNP/3.967x107 moles DNA/m2 AuNP = 4.12% Sample A2 1.05x107moles DNA/m2AuNP/3.967x107 moles DNA/m2 AuNP = 26.5%
