ConstantID

Lattice parameter of silicon

UnitsMeasured

a = 5.431 020 511(89) × 10−10 m

Value
5.431 020 511 × 10−10 m
Standard uncertainty
8.9 × 10−18 m
Relative uncertainty
1.6 × 10−8 (16 parts per billion)
Status
Measured
Symbol
a
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# lattice parameter of silicon, CODATA 2022 (NIST)
lattice_parameter_of_silicon = 5.431020511e-10  # m, standard uncertainty 8.9e-18

# SciPy: scipy.constants.physical_constants['lattice parameter of silicon']

What it is

The edge length of the cubic unit cell of an ideal silicon crystal at 22.5 °C in vacuum. Measured with combined X-ray and optical interferometry, it links X-ray wavelengths to the metre and was central to counting atoms in silicon spheres for the Avogadro constant.

Equations

  • d220=a8(220) lattice spacing

In other units

UnitValue
CGS (cm)5.431 020 511 × 10−8
nm nanometre0.543 102 0511
pm picometre543.102 0511
fm femtometre543 102.0511
Å ångström5.431 020 511
a₀ bohr (atomic unit)10.263 141 35unit is itself measured

Converted with ConstantID's unit table; digits are rounded to the precision of the value, and a long exact value is rounded only for display. The relative uncertainty is unchanged by conversion to an exactly defined unit.

How the value changed, 1998–2022

Each point is one CODATA adjustment, plotted as its difference from the 2022 value; the bars show one standard uncertainty (an arrowhead means the bar runs off the chart).

lattice parameter of silicon: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−200−1000+100+200parts per billion1998200220062010201420182022

Relative uncertainty

lattice parameter of silicon: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20225.431 020 511(89) × 10−101.6 × 10−8 +0.0 σ of 2018
20185.431 020 511(89) × 10−101.6 × 10−8 +0.1 σ of 2014
2014543.102 0504(89) × 10−121.6 × 10−8 +0.0 σ of 2010
2010543.102 0504(89) × 10−121.6 × 10−8 −1.0 σ of 2006
2006543.102 064(14) × 10−122.6 × 10−8 −2.9 σ of 2002
2002543.102 122(20) × 10−123.7 × 10−8 +2.1 σ of 1998
1998543.102 088(16) × 10−122.9 × 10−8

“Change from previous” is the shift in the value divided by the standard uncertainty of the previous adjustment. Earlier values are converted into the current unit where NIST changed it (for example J s to J Hz⁻¹).

Related constants