Xray diffraction measurements of an epitaxial YBa2Cu3O7 supe

X-ray diffraction measurements of an epitaxial YBa₂Cu₃O₇ superconducting film deposited on SrTiO₃ yields an interplanar spacing of d₀₀₁ =11.647 Å and d₁₁₀=2.733Å.The corresponding interplanar spacings for unstrained YBa₂Cu₃O₇ are d₀₀₁ =11.680 Å and d₁₁₀=2.7324 Å.Calculate the strain in the [001] and[110] directions.

Solution

Strain in [001] direction = (11.680 - 11.647)/11.680

Strain [001] = 0.0028253

Strain in [110] direction = [2.7324 - 2.733] / 2.7324

Strain [110] = - 0.00021958