User:Allison K. Alix/Notebook/Thesis Research/2013/07/18
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  ==  +  ==%DNA hybridized on AuNP from 7/16== 
+  
+  '''Calculating the surface area of 1 AuNP'''  
  
Surface Area of a sphere = 4πr2, r = 5nm  Surface Area of a sphere = 4πr2, r = 5nm  
+  
4π(5x109m)2 = 3.14 x 1016m2 = 314nm2  4π(5x109m)2 = 3.14 x 1016m2 = 314nm2  
  Calculating the # of AuNP in  +  '''Calculating the # of AuNP in 144.4uL 29.67nM solution''' 
  +  
  Calculating the Total Surface Area Available for DNA Attachment  +  29.67 x 10<sup>9</sup>mol/L x 144.4x10<sup>6</sup>L x 6.02x1023 AuNP/mol = 2.579x10<sup>12</sup> AuNP 
  +  
+  '''Calculating the Total Surface Area Available for DNA Attachment'''  
+  
+  2.579x10<sup>12</sup>AuNP x 3.14x10<sup>16</sup>m<sup>2</sup>/1 AuNP = 0.00081 m<sup>2</sup>  
Calculating the Number of Moles of DNA Available to Attach  Calculating the Number of Moles of DNA Available to Attach  
+  
2.225x106moles/L x 240.7x106L = 5.3555575 x 1010 moles DNA  2.225x106moles/L x 240.7x106L = 5.3555575 x 1010 moles DNA  
Revision as of 11:07, 19 July 2013
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%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 144.4uL 29.67nM solution 29.67 x 10^{9}mol/L x 144.4x10^{6}L x 6.02x1023 AuNP/mol = 2.579x10^{12} AuNP Calculating the Total Surface Area Available for DNA Attachment 2.579x10^{12}AuNP x 3.14x10^{16}m^{2}/1 AuNP = 0.00081 m^{2} 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%
