Temperature · Unit Converter

Convert Triple Point of Water to Newton

Convert triple points of water to degrees newton instantly. °N = (TPW × 90.1428) − 90.1395 — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Newton to Triple Point of Water converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Temperature category 2 min read Published Last reviewed Updated

Units explained

Scientific & Fixed-Point

Triple Point of Water

What is the triple point of water?

The triple point of water is the unique state at which ice, liquid water, and water vapor coexist in equilibrium — exactly 273.16 K (0.01 °C). Treated as a converter unit, 1 triple point of water equals exactly 273.16 kelvins.

Origin of the triple point of water

Adopted as thermometry's master fixed point because it is exactly reproducible in a sealed glass cell, unlike freezing and boiling points, which shift with atmospheric pressure and dissolved impurities.

Where it is used

Calibration laboratories and the International Temperature Scale of 1990 (ITS-90); from 1954 to 2019 the kelvin itself was defined as exactly 1/273.16 of this temperature.

When and where it was developed

Fixed at exactly 273.16 K by the 10th CGPM in 1954; it remained the kelvin's defining point until the 2019 SI redefinition through the Boltzmann constant.

Historical Scales

Newton

What is a degree newton?

The degree Newton (°N) sets the freezing point of water at 0 °N and the boiling point at 33 °N, making one degree Newton equal to exactly 100/33 kelvins (about 3.03 K) — the largest degree of any classic scale.

Origin of the degree newton

Devised by Isaac Newton using linseed-oil thermometers and a ladder of everyday reference points such as melting snow and the heat of the human body, published anonymously around 1701.

Where it is used

Never adopted for practical measurement, but historically important: Newton's idea of anchoring a scale to two reproducible fixed points directly influenced Celsius's centigrade approach four decades later.

When and where it was developed

Published by Isaac Newton in the Philosophical Transactions of the Royal Society in London, around 1701.

Triple Point of Water to Newton conversion formula

The exact relationship between triple points of water and degrees newton:

°N = (TPW × 90.1428) − 90.1395
TPW = (°N × 0.01109350941) + 0.9999633914

To convert triple points of water to degrees newton, multiply the value by 90.1428, then subtract 90.1395. To reverse, multiply the value by 0.01109350941, then add 0.9999633914.

Reference anchors: water freezes at 0.9999633914 TPW = 0 °N and boils at 1.3660492019 TPW = 33 °N (at standard atmospheric pressure).

How to use this converter

Type a value into the calculator. The result in degrees newton updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Newton to Triple Point of Water converter for the reverse direction.

Step-by-step: convert triple points of water to degrees newton

  1. Write down the temperature in triple points of water (TPW).
  2. Multiply the value by 90.1428, then subtract 90.1395.
  3. The result is the same temperature expressed in degrees newton (°N).
  4. To reverse, multiply the value by 0.01109350941, then add 0.9999633914 — or open the Newton to Triple Point of Water converter.

Worked examples

Example 1 — Convert 1 TPW to °N:
(1 × 90.1428) − 90.1395 = 0.0033 °N

Example 2 — Convert 100 TPW to °N:
(100 × 90.1428) − 90.1395 = 8924.1405 °N

Triple Point of Water to Newton conversion table

Physically meaningful reference temperatures, from absolute zero to the surface of the Sun, converted from triple points of water to degrees newton:

Triple Point of Water [TPW]Newton [°N]Reference point
0-90.1395Absolute zero
0.8535290672-13.2Where Celsius and Fahrenheit coincide (−40°)
0.9348814695-5.8666666667Zero Fahrenheit (0 °F)
0.99996339140Water freezes (0 °C / 32 °F)
10.0033Triple point of water
1.03657197253.3Cool day (10 °C / 50 °F)
1.07318055356.6Room temperature (20 °C / 68 °F)
1.0914848448.25Standard laboratory temperature (25 °C)
1.10978913469.9Hot day (30 °C / 86 °F)
1.135415141312.21Human body temperature (37 °C / 98.6 °F)
1.146397715613.2Heat-wave day (40 °C / 104 °F)
1.183006296716.5Hot tap water (50 °C / 122 °F)
1.366049201933Water boils (100 °C / 212 °F)
1.658917850359.4Moderate baking oven (180 °C / 356 °F)
21.15243813151816.6005Surface of the Sun (≈5,505 °C)

Frequently asked questions

What is 1 TPW in °N?
1 TPW equals 0.0033 °N — normal human body temperature.
How do I convert triple points of water to degrees newton?
Use the formula °N = (TPW × 90.1428) − 90.1395: multiply the value by 90.1428, then subtract 90.1395.
How do I convert degrees newton back to triple points of water?
Apply the reverse formula TPW = (°N × 0.01109350941) + 0.9999633914 — multiply the value by 0.01109350941, then add 0.9999633914 — or use the Newton to Triple Point of Water converter.
At what temperature do the Triple Point of Water and Newton scales read the same number?
Both scales show the same number at 1.0111809367: 1.0111809367 TPW = 1.0111809367 °N. Set °N = TPW in the conversion formula and solve to verify it.
Can a temperature be below absolute zero?
No. Absolute zero (0 K = −273.15 °C = −459.67 °F) is the floor of the thermodynamic temperature scale. The calculator flags any input that would fall below it.

Convert Triple Point of Water to other temperature units

Show all Triple Point of Water conversions

Sources & references

Conversion relationship (°N = (TPW × 90.1428) − 90.1395) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.