Convert Carat (metric) to Planck Mass
Convert carats (metric) to planck mass instantly. 1 carat (metric) = 9188.1784895553 planck mass — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Planck Mass to Carat (metric) converter for the reverse conversion.
Units explained
Carat (metric)
The metric carat (ct) equals exactly 200 milligrams (0.0002 kg).
From Arabic 'qirat' and Greek 'keration', the carob seed once used as a counterweight.
The worldwide standard for gemstone and diamond mass.
The metric carat was fixed at 200 mg internationally in 1907.
Planck Mass
The Planck mass equals about 2.18E-8 kg, formed from the constants h-bar, c, and G.
Introduced by Max Planck in 1899 as part of a system of natural units.
Theoretical physics and quantum-gravity research.
Defined by Planck in 1899 from fundamental constants.
Carat (metric) to Planck Mass conversion formula
Note: this conversion uses a generally accepted modern value. Historical and regional definitions of this unit varied across times and places.
The relationship between carats (metric) and planck mass:
To convert carats (metric) to planck mass, multiply the value in carats (metric) by 9188.1784895553. To reverse, multiply planck mass by 0.0001088355.
How to use this converter
Type a value into the calculator. The result in planck mass updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Planck Mass to Carat (metric) converter for the reverse direction.
Step-by-step: convert carats (metric) to planck mass
- Write down the value in carats (metric) (ct).
- Multiply that value by the factor 9188.1784895553.
- The product is the equivalent value in planck mass (mP).
- To reverse, multiply the planck mass value by 0.0001088355.
Worked examples
Example 1 — Convert 1 ct to mP:
1 × 9188.1784895553 = 9188.1784895553 mP
Example 2 — Convert 100 ct to mP:
100 × 9188.1784895553 = 918817.8489555337 mP
Real-world example — From microns to sub-micron features
One carat (metric) equals one thousand planck mass — the conversion semiconductor designers do constantly when comparing mask feature dimensions to actual transistor gate lengths.
1 ct × 9188.1784895553 = 9188.1784895553 mP
Real-world example — Infrared to visible-spectrum mapping
A 10-carat (metric) thermal infrared wavelength corresponds to a much larger number in planck mass, the unit favoured for ultraviolet and visible-light specifications.
10 ct × 9188.1784895553 = 91881.7848955534 mP
Real-world example — Mid-micron to nanometer
3 carats (metric) equals 3,000 planck mass — useful when relating mid-infrared wavelengths (typically quoted in microns) to nanometer-scale visible-light wavelength tables.
3 ct × 9188.1784895553 = 27564.535468666 mP
Carat (metric) to Planck Mass conversion table
Standard reference values for converting carats (metric) to planck mass:
| Carat (metric) [ct] | Planck Mass [mP] |
|---|---|
| 0.01 | 91.8817848956 |
| 0.1 | 918.8178489555 |
| 1 | 9188.1784895553 |
| 2 | 18376.3569791107 |
| 3 | 27564.535468666 |
| 4 | 36752.7139582213 |
| 5 | 45940.8924477767 |
| 10 | 91881.7848955534 |
| 20 | 183763.5697911067 |
| 30 | 275645.3546866601 |
| 40 | 367527.1395822135 |
| 50 | 459408.9244777669 |
| 100 | 918817.8489555337 |
| 500 | 4594089.2447776683 |
| 1000 | 9188178.4895553365 |
Frequently asked questions
How many planck mass is 1 carat (metric)?
How do I convert carats (metric) to planck mass?
How do I convert planck mass back to carats (metric)?
How many planck mass is 100 carats (metric)?
Popular weight unit conversions
Convert Carat (metric) to other weight units
Show all Carat (metric) conversions
Metric / SI (18 units)
Avoirdupois (15 units)
Troy & Apothecary (9 units)
Indian / South Asian (6 units)
Scientific / Atomic (9 units)
Astronomical (4 units)
Biblical / Ancient (14 units)
Sources & references
Conversion factor (1 ct = 9188.1784895553 mP) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.