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06 Numbers and Powers

When the Sky Turns Red: Causes & Meaning

Card No. 06·37940 · Updated · Standard formula, shown below

Redness index 0.0906
Time since sunrise
6 hours
You entered
Aerosol optical depth
0.2
You entered
You enter
Time since sunrise, Aerosol optical depth
You get
Redness index
Rounding
2 dp

The sky turns red when sunlight passes through a thick layer of atmosphere, which scatters away most of the blue and green light, leaving only the longer red wavelengths to reach your eyes. This typically happens during sunrise and sunset, but it can also occur due to smoke, dust, or volcanic ash in the air. The exact shade and intensity depend on how much atmosphere the light travels through and what particles are suspended in it.

Formula

The redness of the sky can be approximated by a simple model that combines the solar elevation angle and the amount of aerosols in the atmosphere. The formula is:

Redness index = 0.5 × (1 − e−a × t / 6)

Where:

  • t = time since sunrise in hours (or time before sunset, treated the same way). At t = 0, the sun is at the horizon; at t = 6, it is roughly 45° above the horizon (mid-morning).
  • a = aerosol optical depth (AOD), a unitless measure of how much light is blocked by particles in the air. Typical values: 0.05 for very clean air, 0.2 for hazy conditions, 1.0+ for heavy smoke or dust.
  • e = Euler’s number (approximately 2.718).

The index ranges from 0 (no reddening) to 0.5 (deep red). It is a relative measure, not a physical unit.

Worked Example

Using the default values from the calculator: t = 6 hours after sunrise, a = 0.2.

  1. Compute the exponent: −a × t / 6 = −0.2 × 6 / 6 = −0.2
  2. Compute e−0.2 ≈ 0.8187
  3. Subtract from 1: 1 − 0.8187 = 0.1813
  4. Multiply by 0.5: 0.5 × 0.1813 = 0.0907

So the redness index is about 0.09, which corresponds to a mild orange tint near the horizon. If you increase the aerosol content to 1.0 (smoky day), the index jumps to about 0.5 × (1 − e−1) ≈ 0.32, a deep red sky.

Why Does the Sky Turn Red at Sunrise and Sunset?

The phenomenon is called Rayleigh scattering. Sunlight is made of all colors, but blue light has a shorter wavelength and is scattered much more strongly by air molecules than red light. When the sun is low on the horizon, its light must travel through a much longer path of atmosphere—up to 40 times more than when it is overhead. By the time the light reaches your eyes, almost all the blue and green has been scattered away, leaving only the reds and oranges.

The same physics explains why the sky is blue during the day: the blue light is scattered in all directions, so you see it coming from every part of the sky. At sunset, you are looking at the unscattered red light directly from the sun, while the blue light is scattered off to other parts of the sky.

When Smoke, Dust, or Ash Makes the Sky Red

Particles larger than air molecules—like smoke from wildfires, dust from deserts, or volcanic ash—cause Mie scattering. This type of scattering is less wavelength-dependent, but it still removes a lot of the shorter wavelengths. When the air is filled with these particles, even a sun that is relatively high in the sky can appear red or orange. For example, during major wildfire events, people hundreds of miles away have reported seeing a red or dark orange sky in the middle of the day.

The effect is strongest when the sun is near the horizon and the particle layer is dense. Volcanic eruptions that inject sulfur dioxide into the stratosphere can produce vivid red sunsets for months, because the tiny sulfate aerosols scatter blue light very efficiently.

How to Predict a Red Sky

You can make a rough prediction using the calculator above, but for real-world forecasting, look for these signs:

  • Clear western horizon – clouds on the horizon block the red light.
  • High humidity or haze – water vapor and small particles enhance scattering.
  • Air quality reports – high PM2.5 or AOD values mean more particles.
  • Time of day – the 30 minutes before sunset and after sunrise are prime time.

If you want a precise prediction, you can check local air quality monitoring stations for AOD data, or simply look at the sky: if it is already pinkish 30 minutes before sunset, it will likely turn red.

Common Misconceptions

One common myth is that a red sky in the morning means rain, and a red sky at night means fair weather. This old proverb has some basis in meteorology: a red sky at night often means the setting sun is shining on high clouds from the west, which usually indicates that a weather system has passed. However, it is not a reliable forecast and can be wrong as often as it is right.

Another misconception is that the sky turns red because of pollution. While pollution can intensify the red, it is not the cause. Even in pristine air, the sky will turn red at sunset because of Rayleigh scattering. Pollution just adds more particles, making the red deeper and sometimes extending the effect to earlier in the day.

Safety and Viewing Tips

Looking at a red sky is generally safe for your eyes, but do not stare directly at the sun, even when it is low on the horizon. The sun’s ultraviolet radiation can damage your retina, and the red color does not reduce the danger. Use sunglasses or a camera with a solar filter if you want to photograph the sun itself.

If the sky is red because of smoke or dust, be aware that the air quality may be poor. Check local air quality alerts and limit outdoor activities if the AQI is unhealthy. The red sky is a visual warning that the air is full of particles.

Frequently Asked Questions

Why is the sky red at night but not during the day?

During the day, the sun is high and its light passes through less atmosphere, so blue scattering dominates. At sunset, the light path is much longer, and all the blue is scattered away before it reaches you, leaving red.

Can the sky turn red in the middle of the day?

Yes, but only when there are extreme amounts of particles in the air, such as from a massive wildfire or volcanic eruption. The particles scatter blue light so strongly that the remaining light appears red, even when the sun is high.

Does a red sky mean a storm is coming?

Not necessarily. The old rhyme “red sky at night, sailor’s delight; red sky in morning, sailor’s warning” has some truth in mid-latitudes where weather moves west to east, but it is not a reliable rule. A red sky simply indicates a long path of sunlight through the atmosphere, which can happen in many weather conditions.

What is the difference between Rayleigh and Mie scattering?

Rayleigh scattering is caused by molecules much smaller than the wavelength of light, and it affects blue light much more than red. Mie scattering is caused by larger particles like dust and smoke, and it affects all wavelengths more equally, but still removes blue light preferentially, leading to red skies.

Why does the sky sometimes turn pink or purple instead of red?

Pink and purple occur when there is a mix of scattered red light and some blue light that has not been completely removed, often due to a very clean atmosphere or the presence of certain aerosols. The exact color depends on the size and concentration of particles.

Related

Formula used
in t | Time since sunrise | hours | 6 | 0 | 24
in a | Aerosol optical depth | - | 0.2 | 0 | 5
out red | Redness index | - | 0.5 * (1 - exp(-a * t / 6)) | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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