Length · Unit Converter

Convert Square Centimeter to Barn

Convert square centimeters to barns instantly. 1 square centimeter = 1e+24 barn — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Barn to Square Centimeter converter for the reverse conversion.

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

Units explained

Metric / SI

Square Centimeter

What is a square centimeter?

A square centimeter is a metric unit of area equal to 10⁻⁴ m² (1 cm × 1 cm). It is widely used in everyday measurement, lab work, and small-area applications.

Origin of the square centimeter

Derived by squaring the centimeter (1/100 of a meter). The centi- prefix comes from the Latin 'centum' (hundred).

Where it is used

Square centimeters express the cross-sectional area of pipes and cables, the surface area of small everyday objects, biological tissue samples, and many engineering quantities. The SI unit for medical/pharmaceutical dose-per-area is often expressed in cm².

When and where it was developed

Centimeter has been part of the metric system since 1795.

Scientific / Physics

Barn

What is a barn?

A barn is a scientific unit of area equal to exactly 10⁻²⁸ m² (100 fm²). It is used in nuclear and particle physics to express interaction cross-sections.

Origin of the barn

Named in 1942 at Purdue University by physicists working on the Manhattan Project. The name comes from the phrase 'big as a barn' — uranium nuclei have cross-sections this large, which physicists initially considered surprisingly large for nuclear targets.

Where it is used

Barns and their submultiples (millibarn, microbarn, nanobarn, picobarn, femtobarn) are the standard units for cross-section measurements in nuclear physics, high-energy physics, and accelerator experiments. The Higgs boson production cross-section at the LHC is in the picobarn range.

When and where it was developed

Named in 1942 during the Manhattan Project; adopted internationally in particle physics.

Square Centimeter to Barn conversion formula

The relationship between square centimeters and barns:

1 cm² = 1e+24 b
1 b = 1e-24 cm²

To convert square centimeters to barns, multiply the value in square centimeters by 1e+24. To reverse, multiply barns by 1e-24.

How to use this converter

Type a value into the calculator. The result in barns updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Barn to Square Centimeter converter for the reverse direction.

Step-by-step: convert square centimeters to barns

  1. Write down the value in square centimeters (cm²).
  2. Multiply that value by the factor 1e+24.
  3. The product is the equivalent value in barns (b).
  4. To reverse, multiply the barn value by 1e-24.

Worked examples

Example 1 — Convert 1 cm² to b:
1 × 1e+24 = 1e+24 b

Example 2 — Convert 100 cm² to b:
100 × 1e+24 = 1e+26 b

Real-world example — Mid-micron to nanometer

3 square centimeters equals 3,000 barns — useful when relating mid-infrared wavelengths (typically quoted in microns) to nanometer-scale visible-light wavelength tables.

3 cm² × 1e+24 = 3e+24 b

Real-world example — From microns to sub-micron features

One square centimeter equals one thousand barns — the conversion semiconductor designers do constantly when comparing mask feature dimensions to actual transistor gate lengths.

1 cm² × 1e+24 = 1e+24 b

Real-world example — Infrared to visible-spectrum mapping

A 10-square centimeter thermal infrared wavelength corresponds to a much larger number in barns, the unit favoured for ultraviolet and visible-light specifications.

10 cm² × 1e+24 = 1e+25 b

Square Centimeter to Barn conversion table

Standard reference values for converting square centimeters to barns:

Square Centimeter [cm²]Barn [b]
0.011e+22
0.11e+23
11e+24
22e+24
33e+24
44e+24
55e+24
101e+25
202e+25
303e+25
404e+25
505e+25
1001e+26
5005e+26
10001e+27

Frequently asked questions

How many barns is 1 square centimeter?
1 square centimeter equals 1e+24 barn.
How do I convert square centimeters to barns?
Multiply the value in square centimeters by 1e+24 to get barns.
How do I convert barns back to square centimeters?
Multiply the value in barns by 1e-24, or use the Barn to Square Centimeter converter.
How many barns is 100 square centimeters?
100 square centimeters equals 1e+26 barns, because 100 × 1e+24 = 1e+26.

Convert Square Centimeter to other area units

Show all Square Centimeter conversions
Metric / SI (15 units)
Imperial / US Customary (15 units)
US Survey (5 units)
Indian Subcontinent (16 units)
Other Regional (10 units)
Scientific / Physics (5 units)
Historical / Pre-metric European (6 units)

Sources & references

Conversion factor (1 cm² = 1e+24 b) verified against the following authoritative sources:

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