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

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(Calculating %DNA hybridized on AuNP from 7/16)
(%DNA hybridized on AuNP from 7/16)
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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>
2.579x10<sup>12</sup>AuNP x 3.14x10<sup>-16</sup>m<sup>2</sup>/1 AuNP = 0.00081 m<sup>2</sup>
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Calculating the Number of Moles of DNA Available to Attach
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'''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
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2.225x10<sup>-6</sup>moles/L x 144.4x10<sup>-6</sup>L = 3.2129x10<sup>-10</sup> moles
Calculating oligonucleotide density on each particle (theoretical)
Calculating oligonucleotide density on each particle (theoretical)
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5.3555575x10-10moles DNA/0.001349886m2 AuNP = 3.967x10-7 moles DNA/m2 AuNP (OR 39.67pmol DNA/cm2 AuNP)
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3.2129x10<sup>-10</sup> moles/0.00081 m<sup>2</sup> AuNP = 3.967x10-7 moles DNA/m2 AuNP (OR 39.67pmol DNA/cm2 AuNP)
Calculating oligonucleotide density on each particle (actual)
Calculating oligonucleotide density on each particle (actual)
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Sample A1
Sample A1
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moles DNA = (1.827x10-7M x 350 x 10-6L) = 6.40x10-11 moles
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
6.40x10-11 moles/0.001349886m2 AuNP = 4.74x10-8moles DNA/m2AuNP

Revision as of 11:11, 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 144.4x10-6L = 3.2129x10-10 moles

Calculating oligonucleotide density on each particle (theoretical)

3.2129x10-10 moles/0.00081 m2 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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