User:Allison K. Alix/Notebook/Thesis Research/2013/07/18
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(→%DNA hybridized on AuNP from 7/16) 
Current revision (11:18, 19 July 2013) (view source) (→%DNA hybridized on AuNP from 7/16) 

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'''Calculating the surface area of 1 AuNP'''  '''Calculating the surface area of 1 AuNP'''  
  Surface Area of a sphere =  +  Surface Area of a sphere = 4πr<sup>2</sup>, r = 5nm 
+  
+  4π(5x10<sup>9</sup>m)<sup>2</sup> = 3.14 x 10<sup>16</sup>m<sup>2</sup> = 314nm<sup>2</sup>  
  
'''Calculating the # of AuNP in 144.4uL 29.67nM solution'''  '''Calculating the # of AuNP in 144.4uL 29.67nM solution'''  
  29.67 x 10<sup>9</sup>mol/L x 144.4x10<sup>6</sup>L x 6.  +  29.67 x 10<sup>9</sup>mol/L x 144.4x10<sup>6</sup>L x 6.02x10<sup>23</sup> AuNP/mol = 2.579x10<sup>12</sup> AuNP 
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'''Calculating oligonucleotide density on each particle (theoretical)'''  '''Calculating oligonucleotide density on each particle (theoretical)'''  
  3.2129x10<sup>10</sup> moles/0.00081 m<sup>2</sup> AuNP = 3.967x107 moles DNA/  +  3.2129x10<sup>10</sup> moles/0.00081 m<sup>2</sup> AuNP = 3.967x10<sup>7</sup> moles DNA/m<sup>2</sup> AuNP (OR 39.67pmol DNA/cm<sup>2</sup> AuNP) 
Current revision
Project name  Main project page Previous entry Next entry 
%DNA hybridized on AuNP from 7/16Calculating the surface area of 1 AuNP Surface Area of a sphere = 4πr^{2}, r = 5nm 4π(5x10^{9}m)^{2} = 3.14 x 10^{16}m^{2} = 314nm^{2}
29.67 x 10^{9}mol/L x 144.4x10^{6}L x 6.02x10^{23} AuNP/mol = 2.579x10^{12} AuNP
2.579x10^{12}AuNP x 3.14x10^{16}m^{2}/1 AuNP = 0.00081 m^{2}
2.225x10^{6}moles/L x 144.4x10^{6}L = 3.2129x10^{10} moles
3.2129x10^{10} moles/0.00081 m^{2} AuNP = 3.967x10^{7} moles DNA/m^{2} AuNP (OR 39.67pmol DNA/cm^{2} AuNP)
moles DNA = (1.16872x10^{7}M x 300 x 106L) = 3.51x10^{11} moles 3.51x10^{11} moles/0.00081 m^{2} AuNP = 4.33x10^{8}moles DNA/m^{2}AuNP
4.33x10^{8}moles DNA/m^{2}AuNP/3.967x107 moles DNA/m2 AuNP = 10.9%
