Difference between revisions of "Guinier plot"
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:<math>I(q) = I_0 \exp \left( - \frac{R_g^2}{3} q^{2} \right) </math> | :<math>I(q) = I_0 \exp \left( - \frac{R_g^2}{3} q^{2} \right) </math> | ||
:<math>\ln(I(q)) = \ln(I_0) - (R_g^2/3)q^{2} </math> | :<math>\ln(I(q)) = \ln(I_0) - (R_g^2/3)q^{2} </math> | ||
| − | Thus a plot of ln(''I'') vs. ''[[q]]''<sup>2</sup> can be used to highly the scaling of the scattering. A straight-line in such a plot is indicative of Guinier scaling. | + | Thus a plot of ln(''I'') vs. ''[[q]]''<sup>2</sup> can be used to highly the scaling of the scattering. A straight-line in such a plot is indicative of Guinier scaling. Such an analysis is typically only done with the low-''q'' portion of the data. |
==See Also== | ==See Also== | ||
* P. Thiyagarajan, T. S. Burkoth, V. Urban, S. Seifert, T. L. S. Benzinger, D. M. Morgan, D. Gordon, S. C. Meredith and D. G. Lynn [http://journals.iucr.org/j/issues/2000/03/01/issconts.html pH dependent self assembly of beta-amyloid(10-35) and beta-amyloid(10-35)-PEG3000] ''J. Appl. Cryst.'' '''2000''', 33, 535-539. [http://dx.doi.org/10.1107/S0021889899014387 doi: 10.1107/S0021889899014387] | * P. Thiyagarajan, T. S. Burkoth, V. Urban, S. Seifert, T. L. S. Benzinger, D. M. Morgan, D. Gordon, S. C. Meredith and D. G. Lynn [http://journals.iucr.org/j/issues/2000/03/01/issconts.html pH dependent self assembly of beta-amyloid(10-35) and beta-amyloid(10-35)-PEG3000] ''J. Appl. Cryst.'' '''2000''', 33, 535-539. [http://dx.doi.org/10.1107/S0021889899014387 doi: 10.1107/S0021889899014387] | ||
* A. V. Smirnov, I. N. Deryabin and B. A. Fedorov [http://scripts.iucr.org/cgi-bin/paper?aj5257 Small-angle scattering: the Guinier technique underestimates the size of hard globular particles due to the structure-factor effect] ''J. Appl. Cryst.'' '''2015''', 48. [http://dx.doi.org/10.1107/S160057671501078X doi: 10.1107/S160057671501078X] | * A. V. Smirnov, I. N. Deryabin and B. A. Fedorov [http://scripts.iucr.org/cgi-bin/paper?aj5257 Small-angle scattering: the Guinier technique underestimates the size of hard globular particles due to the structure-factor effect] ''J. Appl. Cryst.'' '''2015''', 48. [http://dx.doi.org/10.1107/S160057671501078X doi: 10.1107/S160057671501078X] | ||
Revision as of 09:34, 25 July 2015
A Guinier analysis attempts to extract the size-scale for a structure by fitting the scattering to an equation of the form:
Thus a plot of ln(I) vs. q2 can be used to highly the scaling of the scattering. A straight-line in such a plot is indicative of Guinier scaling. Such an analysis is typically only done with the low-q portion of the data.
See Also
- P. Thiyagarajan, T. S. Burkoth, V. Urban, S. Seifert, T. L. S. Benzinger, D. M. Morgan, D. Gordon, S. C. Meredith and D. G. Lynn pH dependent self assembly of beta-amyloid(10-35) and beta-amyloid(10-35)-PEG3000 J. Appl. Cryst. 2000, 33, 535-539. doi: 10.1107/S0021889899014387
- A. V. Smirnov, I. N. Deryabin and B. A. Fedorov Small-angle scattering: the Guinier technique underestimates the size of hard globular particles due to the structure-factor effect J. Appl. Cryst. 2015, 48. doi: 10.1107/S160057671501078X
