How are lattice parameters determined from reciprocal space maps?
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It seems that the papers speak of reciprocal space maps with very high praise because of its ability to study strain in epitaxial films and determine the amount of relaxation. Also one can determine the in-plane and out-of-plane lattice parameters independent of each other (which is nice because it prevents one from propagating uncertainties). However, I cannot find how the lattice parameters are determined from these reciprocal space maps.
Every paper is the same, shows me the RSM, tells me the lattice parameters they found, but no one tells me how they found it. Review papers and pdfs I've found online plus 3 x-ray diffraction/diffractometry/scattering textbooks go over RSM in the same superficial way: go over the principles and the math but no one offers examples. It's hard to believe that I cannot find a book that can teach me how to index even a regular diffraction pattern.
Every paper is the same, shows me the RSM, tells me the lattice parameters they found, but no one tells me how they found it. Review papers and pdfs I've found online plus 3 x-ray diffraction/diffractometry/scattering textbooks go over RSM in the same superficial way: go over the principles and the math but no one offers examples. It's hard to believe that I cannot find a book that can teach me how to index even a regular diffraction pattern.
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HEY MATE HERE IS YOUR DESIRED ANSWER ❤
✔✔From an asymmetrical peak one can determine both a- and c- lattice constant.
✔✔a=λ⋅h(qpar⋅3–√)c=λ⋅l(qort⋅2)a=λ⋅h(qpar⋅3)c=λ⋅l(qort⋅2)
✔✔Where λλ is the wave length of your X-rays, qparqpar (q_parallel) is the peak position alongside the in-plane direction (qxqx or qyqy) in reciprocal lattice
✔✔units. qortqort(q_orthogonal) is the peak position alongside the out of plane direction, also in reciprocal lattice units. hh and ll are the miller indices of the peak (hklhkl).
HOPE IT HELPS YOU DEAR
✔✔From an asymmetrical peak one can determine both a- and c- lattice constant.
✔✔a=λ⋅h(qpar⋅3–√)c=λ⋅l(qort⋅2)a=λ⋅h(qpar⋅3)c=λ⋅l(qort⋅2)
✔✔Where λλ is the wave length of your X-rays, qparqpar (q_parallel) is the peak position alongside the in-plane direction (qxqx or qyqy) in reciprocal lattice
✔✔units. qortqort(q_orthogonal) is the peak position alongside the out of plane direction, also in reciprocal lattice units. hh and ll are the miller indices of the peak (hklhkl).
HOPE IT HELPS YOU DEAR
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