User:Allison K. Alix/Notebook/Thesis Research/2013/07/18

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(Calculating %DNA hybridized on AuNP from 7/16)
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==Calculating %DNA hybridized on AuNP from 7/16==
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==%DNA hybridized on AuNP from 7/16==
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'''Calculating the surface area of 1 AuNP'''
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Calculating the surface area of 1 AuNP
 
Surface Area of a sphere = 4πr2, r = 5nm
Surface Area of a sphere = 4πr2, r = 5nm
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4π(5x10-9m)2 = 3.14 x 10-16m2 = 314nm2
4π(5x10-9m)2 = 3.14 x 10-16m2 = 314nm2
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Calculating the # of AuNP in 240.7μL 29.67nM solution
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'''Calculating the # of AuNP in 144.4uL 29.67nM solution'''
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29.67 x 10-9mol/L x 240 x 10-6L x 6.02x1023 AuNP/mol = 4.299 x 1012 AuNP
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Calculating the Total Surface Area Available for DNA Attachment
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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
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4.299 x 1012 AuNP x 3.14x10-16m2/1 AuNP = 0.001349886 m2
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'''Calculating the Total Surface Area Available for DNA Attachment'''
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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
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2.225x10-6moles/L x 240.7x10-6L = 5.3555575 x 10-10 moles DNA
2.225x10-6moles/L x 240.7x10-6L = 5.3555575 x 10-10 moles DNA

Revision as of 11:07, 19 July 2013

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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

4π(5x10-9m)2 = 3.14 x 10-16m2 = 314nm2

Calculating the # of AuNP in 144.4uL 29.67nM solution

29.67 x 10-9mol/L x 144.4x10-6L x 6.02x1023 AuNP/mol = 2.579x1012 AuNP

Calculating the Total Surface Area Available for DNA Attachment

2.579x1012AuNP x 3.14x10-16m2/1 AuNP = 0.00081 m2

Calculating the Number of Moles of DNA Available to Attach

2.225x10-6moles/L x 240.7x10-6L = 5.3555575 x 10-10 moles DNA

Calculating oligonucleotide density on each particle (theoretical) 5.3555575x10-10moles DNA/0.001349886m2 AuNP = 3.967x10-7 moles DNA/m2 AuNP (OR 39.67pmol DNA/cm2 AuNP)

Calculating oligonucleotide density on each particle (actual) Sample A1 moles DNA = (1.827x10-7M x 350 x 10-6L) = 6.40x10-11 moles 6.40x10-11 moles/0.001349886m2 AuNP = 4.74x10-8moles DNA/m2AuNP Sample B moles DNA = 4.44x10-8M x 500 x 10-6L = 2.22x10-11 moles 2.22x10-11 moles/0.001349886m2 AuNP = 1.64x10-8moles DNA/m2AuNP Sample A2 moles DNA = 1.42x10-10 1.42x10-10/0.001349886m2 AuNP = 1.05x10-7moles DNA/m2AuNP

Calculating the percentage of DNA hybridized in each sample Sample A1 4.74x10-8moles DNA/m2AuNP/3.967x10-7 moles DNA/m2 AuNP = 11.95% Sample B 1.64x10-8moles DNA/m2AuNP/3.967x10-7 moles DNA/m2 AuNP = 4.12% Sample A2 1.05x10-7moles DNA/m2AuNP/3.967x10-7 moles DNA/m2 AuNP = 26.5%



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