What is the percentage of In and Ga in the given table using equations?

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Discussion Overview

The discussion revolves around calculating the percentage composition of Indium (In) and Gallium (Ga) in a dataset presented in a table format, specifically focusing on the use of equations and multipliers to derive these percentages from given counts. The context includes practical application in Excel and involves exploratory reasoning regarding the relationships between different elements in the compounds.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about deriving percentage values for In and Ga using equations based on counts provided in a table.
  • Another participant suggests a formula for calculating Ga's percentage based on counts, indicating a method for In as well.
  • A participant notes that the percentage does not depend on counts and asks if an equation can be derived from the first two rows of data to find percentages for the remaining rows.
  • There is a suggestion to compare the weights of elements by setting Arsenic (As) to a value of 1 and scaling In and Ga accordingly.
  • Participants discuss the use of multipliers to weight each element relative to As, providing specific equations for Ga and In based on their counts.
  • One participant expresses difficulty in calculating the percentages for In and Ga in a specific row and requests further demonstration.
  • A later reply provides a detailed calculation for the third row, including total weights and resulting percentages for As, Ga, and In.

Areas of Agreement / Disagreement

Participants generally agree on the approach of using multipliers and relative weights to derive percentages, but there is no consensus on the specific methods or equations to apply, as some participants express confusion or seek clarification on the calculations.

Contextual Notes

The discussion includes assumptions about the relationships between counts and percentages, and the calculations depend on the chosen multipliers for each element. There are unresolved steps in the derivation of equations from the data provided.

Who May Find This Useful

This discussion may be useful for individuals interested in chemical composition analysis, particularly in the context of semiconductor materials, as well as those looking for methods to calculate percentages from count data in a tabular format.

aneesh123
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Hello,

Is there any way of getting the percentage value of In and Ga in question marks, using equations.

I've been working this for few hours and really have no idea.

[PLAIN]http://indiansketches.com/img.png

Thanks in advance
 
Last edited by a moderator:
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I'm guessing this is in excel or something similar.
for Ga:
wouldn't you just do: Ga counts/(Ga counts + In counts + As Counts) for each row

and the same with In as the numerator for the In percentage?
 
Thanks for the reply l2e

Yes, It's excel file.

From the first two rows it is evident that percentage don't depend on counts.

Is it possible to derive an equation from data in first two rows and find percentage in question mark for the rest of the rows.
 
sorry, I should have read the table more clearly. that was my mistake. you might want to work out how much each of the elements (weigh I guess) compared to each other.

so if you make As = 1, then In = 246/60 and Ga = 92/117.
use those values to scale the amount of each element and work out the percentage.
 
Thanks so much for the reply mate.

Can you explain in detail, how to do that ?

For example : In and Ga percentage in row three.


The numbers are the percentage composition and counts of substrate.

in InAs 60 counts of In is 50% In in InAs or otherwise 50% of In will give 60 counts

similarly in GaAs 50% Ga and 50% As is there, Ga gives 117 counts where as As gives 92 counts



L2E said:
sorry, I should have read the table more clearly. that was my mistake. you might want to work out how much each of the elements (weigh I guess) compared to each other.

so if you make As = 1, then In = 246/60 and Ga = 92/117.
use those values to scale the amount of each element and work out the percentage.
 
Last edited:
sure,

what I have done is chosen multipliers to use to give each element a different weighting. and to do this there are a couple of simple steps.

you see that As is common in both of the initial samples. so it makes sense to set As to a value of 1 (you could use anything but 1 is convenient).

now you want to get the amount each of the other two 'weigh' in relation to As
so for Ga:
117Ga = 50% and 92As = 50%
equate the two equations, (50% = 50%)
therefore: 117Ga = 92As
Ga = (92/117)*As (As = 1)
Ga = 92/117

and do the same for In
 
Thanks for the reply again.

I am having trouble in finding the percentage of In and Ga in InGaAs still. Would you be able to demonstrate to find the percentage of In and Ga compostion in the 3rd row.

thanks in advance
 
ok, so you have the multipliers:
As = 1
Ga = 92/117
In = 246/60

so for row three
if you do
As total weight = 1 (As multiplier) x 141 (As count) = 141
Ga total weight = 92/117 x 120 = 94.3589744
In total weight = 246/60 x 32 = 131.2

total of all elements = 141 + 94.36 + 131.2 = 366.56
percentage of As = 141/366.56 = 38.5%
percentage of Ga = 94.36/366.56 = 25.7%
percentage of In = 131.2/366.56 = 35.8%
 

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