Frevel, L. K. (1978) Error analysis of 2π powder data for cubic or uniaxial phases. Journal of Applied Crystallography, 11 (3) 184-189 doi:10.1107/s0021889878013096
| Reference Type | Journal (article/letter/editorial) | ||
|---|---|---|---|
| Title | Error analysis of 2π powder data for cubic or uniaxial phases | ||
| Journal | Journal of Applied Crystallography | ||
| Authors | Frevel, L. K. | Author | |
| Year | 1978 (June 1) | Volume | 11 |
| Issue | 3 | ||
| Publisher | International Union of Crystallography (IUCr) | ||
| DOI | doi:10.1107/s0021889878013096Search in ResearchGate | ||
| Generate Citation Formats | |||
| Mindat Ref. ID | 466796 | Long-form Identifier | mindat:1:5:466796:8 |
| GUID | 0 | ||
| Full Reference | Frevel, L. K. (1978) Error analysis of 2π powder data for cubic or uniaxial phases. Journal of Applied Crystallography, 11 (3) 184-189 doi:10.1107/s0021889878013096 | ||
| Plain Text | Frevel, L. K. (1978) Error analysis of 2π powder data for cubic or uniaxial phases. Journal of Applied Crystallography, 11 (3) 184-189 doi:10.1107/s0021889878013096 | ||
| In | (1978, June) Journal of Applied Crystallography Vol. 11 (3) International Union of Crystallography (IUCr) | ||
| Abstract/Notes | The likely error in the 2θ measurement of a particular powder reflection can be bracketed by a self-consistent error analysis. To a specific observed θm value one assigns arbitrary increments {Δθm } and calculates iteratively the corresponding increments of any other θn according to the expression: \Delta \theta_{n} = \sin^{-1} {{{q \sin (\theta_{m} + \Delta \theta_{m})-\sin \theta_{n} \cos \Delta \theta_{n}}\over{\cos \theta_{n}}}}where q is the product of the square root of the ratio of the quadratic factors for (hmkmlm ) and (hnknln ) and a correction factor for refraction. By considering special coincidences for which the various Δθn 's are 0° or nil (0.000X°), one arrives at a likely bracketing interval for Δθm . Continuing this process one computes the indicated errors for the remaining reflections. The intent of the error analysis is to induce the experimenter to seek the cause(s) of the indicated errors in the 2θ determinations, and to delimit more precisely the accuracy of lattice constants of cubic or uniaxial phases. | ||
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