Is My Calculation for Film Thickness Using Interference Method Accurate?

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Homework Help Overview

The discussion revolves around calculating film thickness using an interference method, specifically focusing on the application of a particular equation. The original poster attempts to derive the thickness based on given parameters but encounters discrepancies in their results.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the original equation and its derivation, questioning the accuracy of the calculations and the assumptions made regarding the refractive indices. There is a comparison of different forms of the equation and an exploration of where the misunderstanding may lie.

Discussion Status

Some participants have provided insights into the equation's structure and its terms, prompting further examination of the original poster's approach. There is an indication of productive dialogue, with participants exploring different interpretations of the equations involved.

Contextual Notes

There is a mention of approximating refractive indices and the need for clarity on the definitions of the variables used in the equations. The original poster expresses uncertainty about their calculations and seeks clarification on the correct application of the formulas.

tan-X1
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After I read many articles about measuring film thickness by interference method.

I tried to calculate flow that papers but I can't

the equation is

d= (y1*y2)/(2*(n1y2-n2y1))

for an easy I approximate n1 =n2

so

d= (y1*y2)/(2*n(y2-y1))


y1 = 350 nm
y2 = 380 nm
n = 2.35

I want to find out "d"

it seems to be easy

but I always get d = 944 nm

unfortunately, it's wrong

d have to be 472

that means I forgot to divide 2 in this eq.

however, the eq use to be right.

I don't know what's wrong in my calculation.
 
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Ahh, I am wondering

I track this eq from original eq

2nd=my1

2nd=(m+1/2)y2

I am able to get

d=(y2*y1)/(4*n*(y2-y1))

from this eq. I can get the right answer

so, what's wrong in this eq.

d= (y1*y2)/(2*n(y2-y1))

?
 
Please do NOT post the same question in more than one forum.
 
tan-X1 said:
the equation is

d= (y1*y2)/(2*(n1y2-n2y1))

for an easy I approximate n1 =n2

so

d= (y1*y2)/(2*n(y2-y1))
Why don't you explain what this equation represents and define the terms? What are n1 and n2? y1 and y2?
 
Sorry mate.

Now, I've already known.

Thank you.
 

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