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Below are two methods to solve for the Langelier Saturation Index. Method 1 automatically calculates the various factors (temperature, hardness and alkalinity). For method 2, the user will need to manually look up the values from the table and place the values into the calculator.

Method #2
Solving for Langelier Saturation Index.

Langelier saturation index equation
Water Temperature (°F)
Temperature Factor (TF)
CaCO3 PPM
Calcium Hardness (CF)
Total Alkalinity PPM CaCO3
Alkalinity Factor (AF)
32
0.0
5
0.3
2
0.7
37
0.1
25
1.0
25
1.4
46
0.2
50
1.3
50
1.7
53
0.3
75
1.5
75
1.9
60
0.4
100
1.6
100
2.0
66
0.5
150
1.8
150
2.2
76
0.6
200
1.9
200
2.3
84
0.7
300
2.1
300
2.5
94
0.8
400
2.1
400
2.6
105
0.9
800
2.5
800
2.9
128
1.0
1000
2.6
1000
3.0

Langelier Saturation Index (SI)
Condition
-0.5 < SI <0.5
balanced
> 0.5
scale forming
over saturated
< 0.5
corrosive
under saturated
Inputs:
pH
unitless
temperature factor (TF)
unitless
calcium hardness factor (CF)
unitless
alkalinity factor (AF)
unitless

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Conversions:
pH
= 0
= 0
temperature factor (TF)
= 0
= 0
calcium hardness factor (CF)
= 0
= 0
alkalinity factor (AF)
= 0
= 0

Solution:
Langelier Saturation Index (SI) = NOT CALCULATED

Change Equation
Select to solve for a different unknown
Langelier Saturation Index Langelier Saturation Index
ph test kit pH (test kit)
temperature factor temperature factor
calcium hardness factor calcium hardness factor
alkalinity factor alkalinity factor

turnover rate or time turnover rate or time
pool volume or size pool volume or size
pump flow rate pump flow rate
References - Books:
Haan, William D. and Johanningsmeier, Julie S. Swimming Pool Pest Management: A Training Manual for Commercial Pesticide Applicators and Swimming Pool Operators. Kent County Health Department and Michigan State University. Unknown date.
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