Seawater Freezing Point Calculator

Find the freezing point of seawater from salinity and pressure, check how far your water is from freezing, or get the brine salinity and volume inside sea ice.

🧊 Seawater Freezing Point Calculator
Practical salinity (S)
psu
040
Pressure (p, gauge)
dbar
06000
Your water temperature (T)
°C
-530
Ice temperature (T, below 0)
°C
-20-0.1
Bulk ice salinity (Si)
ppt
020
Freezing point
—
Lowering from salt
—
Lowering from pressure
—
Total lowering from 0 °C
—
Supercooling margin (T − Tf)
—
State of your water
—

Brine salinity
—
Check: Tf of that brine
—
Versus normal seawater
—
Brine volume (per mille)
—
Brine volume (percent)
—
Permeability guide (5 %)
—

🧊 What is the Freezing Point of Seawater?

The freezing point of seawater is the temperature at which liquid seawater first begins to form ice crystals. Unlike fresh water, which freezes at 0 °C, seawater freezes at a lower temperature because dissolved salts reduce the activity of the water molecules, a colligative effect called freezing point depression. Normal open ocean water with a practical salinity of 35 psu freezes at about −1.92 °C at the surface. Because the ice that forms is nearly pure water, the salt is rejected into the remaining liquid, which makes it saltier and keeps it liquid to even lower temperatures.

Oceanographers, polar scientists and engineers use this number constantly. Ocean and climate models need it to decide when sea ice forms and how much latent heat is released. Ships and offshore platforms use it to judge icing risk and the freezing of ballast and sea chests. Researchers working under Antarctic ice shelves use the pressure term to understand why water at −2.3 °C can sit against ice hundreds of metres thick without freezing. Aquaculture and desalination designers use it for brine and chilled seawater systems, and sea ice scientists use the inverse relation to find the salinity of the brine trapped inside ice.

Two points are often misunderstood. First, the freezing point is not constant for the ocean: it moves by about 0.057 °C for each practical salinity unit near 35, and by 0.075 °C for each 100 m of depth. Second, reaching the freezing point does not guarantee ice forms. Clean seawater can supercool by a fraction of a degree until ice nuclei appear, and in turbulent polar water this produces frazil ice crystals suspended through the mixed layer. The supercooling margin in this calculator, your water temperature minus the freezing point, tells you how close water is to that threshold.

This calculator has two modes. The freezing point mode applies the UNESCO formula to a salinity and pressure and reports the salt and pressure contributions and your supercooling margin. The sea ice brine mode inverts the same formula numerically to find the salinity of the brine that coexists with ice at a given temperature, then estimates the brine volume fraction of the ice. For density, which also shifts with salinity and temperature, see the seawater density calculator (EOS-80), which reports a freezing point as a side output.

📐 Formula

Tf  =  −0.0575 S + 1.710523×10-3 S3/2 − 2.154996×10-4 S2 − 7.53×10-4 p
Tf = freezing point of seawater (°C); S = practical salinity (psu, PSS-78); p = gauge pressure (dbar)
Source: UNESCO 1983, Fofonoff and Millard. The salinity fit is stated for about 4 to 40 psu. Check value: S = 40, p = 500 dbar gives −2.58857 °C.
Salt lowering = Tf(0, p) − Tf(S, p); pressure lowering = 7.53×10-4 p; supercooling margin = T − Tf
Brine mode: find Sb so that Tf(Sb, 0) = T by bisection between 0 and 400 psu. Values above 40 psu extrapolate the fit.
Brine volume (Frankenstein and Garner 1967): vb = Si (49.185 / |T| + 0.532) in parts per thousand, with Si the bulk ice salinity in ppt and T between −22.9 and −0.5 °C.
Example: S = 35, p = 0 gives Tf = −1.9223 °C.

📖 How to Use This Calculator

Steps

1
Choose a mode. Pick Freezing point to find where seawater freezes for a salinity and pressure, or Sea ice brine to find the brine salinity and volume at an ice temperature.
2
Enter salinity, pressure and temperature. In freezing point mode type the salinity in psu, the pressure in dbar (about the depth in metres) and your own water temperature. In brine mode type the ice temperature and the bulk ice salinity in ppt.
3
Read the result and the chart. You get the freezing point, the salt and pressure lowering and the supercooling margin, or the brine salinity and brine volume. The chart marks your point with a dashed guide and a dot, and the freezing point chart adds the 1000 dbar curve.

💡 Example Calculations

Example 1 — Open Ocean Surface Water

S = 35 psu at the surface (0 dbar), water temperature 2 °C

1
Tf = −0.0575 × 35 + 1.710523×10-3 × 351.5 − 2.154996×10-4 × 352 = −1.9223 °C
2
There is no pressure term at 0 dbar, so the whole lowering of 1.9223 °C comes from salt
3
Margin = 2 − (−1.9223) = +3.9223 °C, so the water is well above freezing
Tf = −1.9223 °C, margin +3.9223 °C
Try this example →

Example 2 — Arctic Fjord Surface Layer

S = 30 psu at 0 dbar, water temperature −1.9 °C

1
Tf = −1.6379 °C; the lowering from 0 °C is 1.6379 °C, all from salt
2
Margin = −1.9 − (−1.6379) = −0.2621 °C
3
The water is 0.26 °C below its freezing point, so ice should be forming, or the water is supercooled
Tf = −1.6379 °C, margin −0.2621 °C (below freezing)
Try this example →

Example 3 — Brackish Baltic Sea

S = 7 psu at 0 dbar, water temperature 0.5 °C

1
Tf = −0.0575 × 7 + 1.710523×10-3 × 71.5 − 2.154996×10-4 × 49 = −0.3814 °C
2
Margin = 0.5 − (−0.3814) = +0.8814 °C
3
Brackish water freezes only 0.38 °C below fresh water, which is why the northern Baltic freezes over so easily
Tf = −0.3814 °C, margin +0.8814 °C
Try this example →

Example 4 — Under an Ice Shelf at 500 dbar

S = 34.5 psu at 500 dbar, water temperature −2.2 °C

1
Salt lowering = 1.8936 °C; pressure lowering = 7.53×10-4 × 500 = 0.3765 °C
2
Tf = −(1.8936 + 0.3765) = −2.2701 °C, total lowering 2.2701 °C
3
Margin = −2.2 − (−2.2701) = +0.0701 °C: this water is colder than surface freezing but still liquid at depth
Tf = −2.2701 °C, margin +0.0701 °C
Try this example →

Example 5 — Brine in First Year Sea Ice at −5 °C

Ice temperature −5 °C, bulk ice salinity 6 ppt

1
Bisect Tf(Sb) = −5 °C: Sb = 83.52 psu, which is 2.39 times normal seawater (the check Tf returns −5.0000 °C)
2
vb = 6 × (49.185 / 5 + 0.532) = 6 × 10.369 = 62.2 per mille, or 6.22 %
3
6.22 % is above the 5 % guide, so this ice is likely permeable to brine and seawater
Brine = 83.52 psu, brine volume 6.22 %
Try this example →

❓ Frequently Asked Questions

What is the freezing point of seawater?+
Seawater with a salinity of 35 psu at the surface freezes at about -1.92 degrees C. Lower salinity freezes warmer: brackish water at 7 psu freezes near -0.38 degrees C. Higher pressure lowers the freezing point by 0.000753 degrees C per dbar.
Why does salt water freeze at a lower temperature than fresh water?+
Dissolved salt lowers the chemical activity of water, so liquid water stays in equilibrium with ice only at a colder temperature. This is freezing point depression, and it depends on how many dissolved particles there are, not on which salt they are.
What formula is used for the freezing point of seawater?+
The UNESCO formula of Fofonoff and Millard (1983): Tf = -0.0575 S + 1.710523e-3 S^1.5 - 2.154996e-4 S^2 - 7.53e-4 p, with S in psu and p in dbar. At S = 40 and p = 500 dbar it gives -2.58857 degrees C.
How does pressure change the freezing point of seawater?+
Each dbar of pressure lowers the freezing point by 7.53e-4 degrees C, because ice is less dense than water. At 500 dbar (about 500 m depth) that is 0.3765 degrees C, which is why water under thick ice shelves can be colder than -2 degrees C and still liquid.
What is supercooling in seawater?+
Supercooling is liquid water colder than its freezing point. The supercooling margin here is the water temperature minus the freezing point. Positive means safely liquid, negative means below freezing, so ice should form or the water is supercooled.
At what salinity is the freezing point equal to the temperature of maximum density?+
The two curves cross near 24.7 psu. Below that salinity, water is densest above its freezing point like fresh water. Above it, as in normal seawater, the density increases right down to the freezing point, so cooling keeps driving convection.
What is the salinity of the brine inside sea ice?+
It is fixed by temperature, because brine is in equilibrium with ice. At -5 degrees C the brine is about 83.5 psu, at -10 degrees C about 146 psu. The colder the ice, the saltier and the smaller in volume the brine pockets become.
How is brine volume of sea ice calculated?+
Frankenstein and Garner (1967) give vb = Si (49.185 / |T| + 0.532), with Si the bulk ice salinity in ppt, T the ice temperature in degrees C and vb in parts per thousand. It is valid from -22.9 to -0.5 degrees C.
What is the 'law of fives' for sea ice?+
Sea ice becomes permeable to fluid flow when the brine volume exceeds about 5 percent, which happens near -5 degrees C at a bulk salinity of 5 ppt. Below that threshold the brine pockets are mostly disconnected.
Does the freezing point of seawater depend on the ocean or on the salt mix?+
Only slightly. Open ocean seawater has a nearly constant salt ratio, so salinity alone sets the freezing point to within a few thousandths of a degree. Lakes and estuaries with different ion ratios can deviate a little from this formula.
Is the UNESCO formula valid for brackish water such as the Baltic Sea?+
The fit was developed for salinities of 4 to 40 psu, so the Baltic at 7 psu is inside the range. Below 4 psu the formula still behaves sensibly and reaches 0 degrees C at zero salinity, but it is an extrapolation.

What is the freezing point of seawater?

Seawater with a salinity of 35 psu at the surface freezes at about -1.92 degrees C. Lower salinity freezes warmer: brackish water at 7 psu freezes near -0.38 degrees C. Higher pressure lowers the freezing point by 0.000753 degrees C per dbar.

Why does salt water freeze at a lower temperature than fresh water?

Dissolved salt lowers the chemical activity of water, so liquid water stays in equilibrium with ice only at a colder temperature. This is freezing point depression, and it depends on how many dissolved particles there are, not on which salt they are.

What formula is used for the freezing point of seawater?

The UNESCO formula of Fofonoff and Millard (1983): Tf = -0.0575 S + 1.710523e-3 S^1.5 - 2.154996e-4 S^2 - 7.53e-4 p, with S in psu and p in dbar. At S = 40 and p = 500 dbar it gives -2.58857 degrees C.

How does pressure change the freezing point of seawater?

Each dbar of pressure lowers the freezing point by 7.53e-4 degrees C, because ice is less dense than water. At 500 dbar (about 500 m depth) that is 0.3765 degrees C, which is why water under thick ice shelves can be colder than -2 degrees C and still liquid.

What is supercooling in seawater?

Supercooling is liquid water colder than its freezing point. The supercooling margin here is the water temperature minus the freezing point. Positive means safely liquid, negative means below freezing, so ice should form or the water is supercooled.

At what salinity is the freezing point equal to the temperature of maximum density?

The two curves cross near 24.7 psu. Below that salinity, water is densest above its freezing point like fresh water. Above it, as in normal seawater, the density increases right down to the freezing point, so cooling keeps driving convection.

What is the salinity of the brine inside sea ice?

It is fixed by temperature, because brine is in equilibrium with ice. At -5 degrees C the brine is about 83.5 psu, at -10 degrees C about 146 psu. The colder the ice, the saltier and the smaller in volume the brine pockets become.

How is brine volume of sea ice calculated?

Frankenstein and Garner (1967) give vb = Si (49.185 / |T| + 0.532), with Si the bulk ice salinity in ppt, T the ice temperature in degrees C and vb in parts per thousand. It is valid from -22.9 to -0.5 degrees C.

What is the 'law of fives' for sea ice?

Sea ice becomes permeable to fluid flow when the brine volume exceeds about 5 percent, which happens near -5 degrees C at a bulk salinity of 5 ppt. Below that threshold the brine pockets are mostly disconnected.

Does the freezing point of seawater depend on the ocean or on the salt mix?

Only slightly. Open ocean seawater has a nearly constant salt ratio, so salinity alone sets the freezing point to within a few thousandths of a degree. Lakes and estuaries with different ion ratios can deviate a little from this formula.

Is the UNESCO formula valid for brackish water such as the Baltic Sea?

The fit was developed for salinities of 4 to 40 psu, so the Baltic at 7 psu is inside the range. Below 4 psu the formula still behaves sensibly and reaches 0 degrees C at zero salinity, but it is an extrapolation.