Barn (nuclear cross-section unit)

b=1×10−28 m2\mathrm{b} = 1 \times 10^{-28}\ \text{m}^{2}
Value1e-28 m²
StatusExact by definition — no uncertainty
SourceBIPM, SI Brochure 9th edition — units accepted for use with the SI (exact by definition)
CategoriesUniversal & AtomicNuclear
Barn (nuclear cross-section unit) in every area unit
microbarn1,000,000 μb
millibarn1,000 mb
barn1 b
square nanometer1.0000000e-10 nm²
square micrometer1.0000000e-16 μm²
circular mil1.9735252e-19 cmil
thousand circular mils1.9735252e-22 kcmil
square millimeter1.0000000e-22 mm²
square centimeter1.0000000e-24 cm²
square inch1.5500031e-25 in²
square decimeter1.0000000e-26 dm²
square foot1.0763910e-27 ft²
square yard1.1959900e-28 yd²
square meter1.0000000e-28 m²
tsubo3.0250000e-29 tsubo
square rod3.9536861e-30 rd²
are1.0000000e-30 a
square chain2.4710538e-31 ch²
dunam1.0000000e-31 dunam
rood9.8842153e-32 rood
acre2.4710538e-32 ac
hectare1.0000000e-32 ha
square kilometer1.0000000e-34 km²
square mile3.8610216e-35 mi²

Learning zone

The barn was coined at Purdue in 1942 by physicists working on the Manhattan Project, who needed a code word for a cross section around 10⁻²⁴ cm² and settled on the joke that such a target was "as big as a barn". It stuck, was declassified after the war, and is now accepted for use with the SI. One barn is 100 fm², about the cross-sectional area of a heavy nucleus.

Cross sections are effective target areas, not physical ones, and they vary wildly with energy. Thermal-neutron fission of U-235 has σ ≈ 585 b; the control-rod absorber ¹³⁵Xe reaches 2.6 million barns, which is what poisons a reactor after shutdown; and neutrino cross sections are around 10⁻¹⁴ b, hence the light-year of lead. Submultiples get their own puns — the millibarn, microbarn and the femtobarn used for LHC luminosities, where an integrated 150 fb⁻¹ means 150 inverse femtobarns of accumulated collisions.