Table 3. Literature data for the two-photon cross section of Rhodamine 6G in methanol or ethanol in the 1,054-1,064 nm region.
Most of the values (column no. 7) group around 10 GM. The average of all 11 measurements provides σ2 = 12 ± 2 GM (average ± SE of mean). The underlined values are obtained either with mode-locked lasers or using the methods where the uncertainty in the second-order time correlation function of laser intensity g(2) was removed. Out of these six measurements, the lowest (4.2 GM) (Kaatz and Shelton, 1999), was obtained by using Hyper Rayleigh scattering technique to calibrate the laser properties, including g(2). The authors found that this method gave underestimated values of σ2, compared to those obtained with standard calibration against one-photon fluorescence. Therefore, the suggested value of σ2 is calculated by excluding this measurement and averaging the numbers selected in italic in column 7.
Wavelength (nm) |
Solvent |
Conc. (M) |
Pulse |
Original σ2 (GM) |
Correction 1 σ2 (GM) |
Correction 2 σ2 (GM) (final) |
Ref. |
1060 | C2H5OH | n/a | ns | 12.9 ± 6 | 25.8 ± 12a | 10.1 ± 4.7 b | Hermann and Ducuing, 1972 |
1060 | C2H5OH | 10-3 | 60 ns | 5.5 | 11a | 5.5c | Bradley et al., 1972 |
1060 | C2H5OH | 10-4 | 30 ns | 26 | 52a | 26c | Vsevolodov et al, 1973 |
1060 | C2H5OH | 10-3 | ps | 3.6 | 7.2a | 7.2 | Bradley et al., 1972 |
1060 | C2H5OH | 10-6 | 110 ns | 11 ± 5 | 22 ± 10a | 11 ± 5c | Li and She, 1982 |
1064 | C2H5OH | 10-2 | cw | 12 ± 2 | 48 ± 8d | 24 ± 4c | Catalano and Cingolani, 1982 |
1054 | CH3OH | 0.2 | 5 ps | 10 ± 1 | - | 10 ± 1 | Penzkofer and Leupacher, 1987 |
1064 | CH3OD | 2.2 10-6 | 125 ns | 4.2 ± 0.8 | - | 4.2 ± 0.8 | Kaatz and Shelton, 1999 |
1064 | C2H5OH | 10-4 | 10 ns | 15 ± 1 | 30 ± 2a | 15 ± 1c | Rodriguez, et al, 2007 |
1060 | CH3OH | 8 10-6 | 100 fs | 10 ± 1 | - | 10 ± 2 | Makarov et al., 2008 |
1060 | CH3OH | n/a | 100 fs | 11 ± 1 | - | 11 ± 1 | de Reguardati et al., 2016 |
Suggested conditions and cross section value | |||||||
1060 | CH3OH | 10-5 | 100 fs | 10 ± 1 |