# The AQI Equation

**URL:** https://forum.airnowtech.org/t/the-aqi-equation/169
**Category:** Air Quality and AQI Info
**Created:** [July 5, 2016, 10:37pm UTC](https://forum.airnowtech.org/t/the-aqi-equation/169 "2016-07-05T22:37:42Z")
**Posts on this page:** 1
**Page:** 1

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### Author: ![mwhylton](https://forum.airnowtech.org/user_avatar/forum.airnowtech.org/mwhylton/32/21_2.png) [@mwhylton](https://forum.airnowtech.org/u/mwhylton)
#### Post date: [July 5, 2016, 10:37pm UTC](https://forum.airnowtech.org/t/the-aqi-equation/169/1 "2016-07-05T22:37:44Z")

</div>

## AQI Equation

![](https://forum.airnowtech.org/uploads/default/original/1X/e4311a157854cfade9e39b8eaacc41aba85d43bb.PNG)

Where  
Conci = Input concentration for a given pollutant  
ConcLo = The concentration breakpoint that is less than or equal to Conci  
ConcHi = The concentration breakpoint that is greater than or equal to Conci  
AQILo = The AQI value/breakpoint corresponding to ConcLo  
AQIHi = The AQI value/breakpoint corresponding to ConcHi

## Rounding vs. Truncating

For all AQI calculations, the **calculated average concentrations are truncated** to .001 ppm (1 ppb) for O3, 0.1 μg/m3 for PM2.5, and 1 μg/m3 for PM10. This truncated concentration is then used as the input (Conci) in the AQI equation above. The resulting **AQI is rounded** to the nearest whole number.

## AQI and Concentration Breakpoints by Pollutant

 ![Equation2](https://forum.airnowtech.org/uploads/default/original/1X/59ab0522bc2fd508e6fcbc1b41431d5069aef1be.png)

 ![Equation3](https://forum.airnowtech.org/uploads/default/original/1X/d7f67d77814e465e13c665b2fc1d0dd73ddae1d4.png)

 ![](https://forum.airnowtech.org/uploads/default/original/1X/86f96b612020bc83b5f0d8c9b3c57e0a27c173d9.PNG)

AQI values above 500 are considered Beyond the AQI. Follow recommendations for the Hazardous category. Additional information on reducing exposure to extremely high levels of particle pollution is available [here](https://www.airnow.gov/aqi/aqi-basics/extremely-high-levels-of-pm25/).
