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List of Equations

The equations below are formatted with MathML. They are rendered in MathJax so should work across all browsers, mobile phones etc.

Copying an equation.

  • Right click on the equation
  • From the popup menu chose: Show Math As, MathML Code.
  • A new window will open. Select and copy the MathML code.

To convert to other formats such as GIF

Paste the mathml code into http://www.mathmlcentral.com/Tools/FromMathML.jsp

Paste into Microsoft word

In most word versions a shortcut is to right-click within the word document and select "Keep Text Only (T)"

  • Insert, equation
  • Paste the MathML code
  • It should magically turn into a word equation that you can also edit
  • If you still see MathML code, click on the drop down menu in word and change it to "Keep Text Only (T)"

Double diode with parasitic resistance

J= JL-J01expqV+J RskT-1-J02expqV+J RsnkT-1-V+J RsRshunt

Double diode with parasitic resistance

J= JL-J01expqV+J RskT-1-J02expqV+J RsnkT-1-V+J RsRshunt

Double Layer Reflection

R=| r 2 |= r 1 2 + r 2 2 + r 3 2 + r 1 2 r 2 2 r 3 2 +2 r 1 r 2 ( 1+ r 3 2 )cos2 θ 1 +2 r 2 r 3 ( 1+ r 1 2 )cos2 θ 2 +2 r 1 r 3 cos2( θ 1 + θ 2 )+2 r 1 r 2 2 r 3 cos2( θ 1 θ 2 ) 1+ r 1 2 r 2 2 + r 1 2 r 3 2 + r 2 2 r 3 2 +2 r 1 r 2 ( 1+ r 3 2 )cos2 θ 1 +2 r 2 r 3 ( 1+ r 1 2 )cos2θ+2 r 1 r 3 cos2( θ 1 + θ 2 )+2 r 1 r 2 2 r 3 cos2( θ 1 θ 2 )

Elevation Angle

α= sin 1 [sinδsinφ+cosδcosφcos(HRA)]

Fill Factor

FF=VMPIMPVOCISC

Fill Factor

FF=VMPIMPVOCISC

Fill Factor - Empirical

FF=voc-lnvoc+0.72voc+1

fresnel reflection (normal)

R= ( n 0 n Si n 0 + n Si ) 2

Fresnel Reflection (parrallel)

R=tan2θ1-θ2tan2θ1+θ2

Fresnel Reflection (perpendicular)

R=sin2θ1-θ2sin2θ1+θ2

Generation Rate

G=αN0e-αx

Hydrogen Reduction

2H+aq+2e-H2g

I0 - one side

I0=qADni2LND

Ideal Diode - width of the depletion region

W= x p + x n = 2ε q V o ( 1 N A + 1 N D )

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