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

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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
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'''
'''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>
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<sup>-6</sup>moles/L x 144.4x10<sup>-6</sup>L = 3.2129x10<sup>-10</sup> moles
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)'''


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)
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)


Sample A1
'''Calculating oligonucleotide density on each particle (actual)'''
 
moles DNA = (1.16872x10<sup>-7</sup>M x 300 x 10-6L) = 3.51x10<sup>-11</sup> moles
 
3.51x10<sup>-11</sup> moles/0.00081 m<sup>2</sup> AuNP = 4.33x10<sup>-8</sup>moles DNA/m<sup>2</sup>AuNP
 
 
'''Calculating the percentage of DNA hybridized in each sample'''


moles DNA = (1.827x10-7M x 350 x 10-6L) = 6.40x10-11 moles
4.33x10<sup>-8</sup>moles DNA/m<sup>2</sup>AuNP/3.967x10-7 moles DNA/m2 AuNP = 10.9%
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%




Revision as of 08:17, 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)

moles DNA = (1.16872x10-7M x 300 x 10-6L) = 3.51x10-11 moles

3.51x10-11 moles/0.00081 m2 AuNP = 4.33x10-8moles DNA/m2AuNP


Calculating the percentage of DNA hybridized in each sample

4.33x10-8moles DNA/m2AuNP/3.967x10-7 moles DNA/m2 AuNP = 10.9%



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