Table 1 Summary of shock conditions, and SAXS analysis of the benzene reaction products.

From: Carbon clusters formed from shocked benzene

Exp. #

P (GPa)

T (K)

d spacing [q−1)]

B1

P1

G2

Rg2 (Å)

P2

\(\chi_{1,2}^{1}\)

\(\chi_{1}^{2}\)

237

55 ± 5a

4940 ± 710

3.4 Å [1.850]

0.009 ± 0.004

4.02 ± 0.14

16.3 ± 10.2

9.0b −2.8, +1.6

4c

2.3

5.2

239

55 ± 5

4940 ± 710

3.6 Å [1.766]

0.021 ± 0.006

3.46 ± 0.09

4.4b −2.6, +4.4

8.1 ± 3.6

4c

0.9

1.2

292

27 ± 4

2790 ± 455

3.4 Å [1.80]

0.005 ± 0.004

3.94 ± 0.32

1390b −1110, +3890

38.2b −8.8, +15.7

4c

4.1

5.4

294

55 ± 5

4940 ± 710

3.4 Å [1.85]

0.015 ± 0.006

4.14 ± 0.21

56.2b −39.4, +70.3

12 .1 ± 2.3

4c

5.6

7.2

303

55 ± 5

4940 ± 710

3.4 Å [1.85]

0.019 ± 0.016

3.85 ± 0.37

7.4

7.7

  1. Parameters of a 2-level unified model are presented (Rg is the radius of gyration, G is the Guinier scaling factor, B is the Porod scaling factor, and P is the Porod exponent). The goodness-of-fits (\(\chi_{1,2}^{2}\)) are compared to best fits using just a power-law and constant background (\(\chi_{1}^{2}\)). Also listed is the layer spacing of the products obtained from the low-angle XRD reflection. Estimated temperatures are the mean of those of reactant and products, with an uncertainty equal to half their difference, as described in Supplementary Note 1.
  2. aThe remaining shock parameters are, for the reactant: P = 27 GPa, Us = 7.8 km/s, up = 4.0 km/s, and at P = 55 GPa, Us = 10.4 km/s, up = 6.0 km/s. On the product Hugoniot at P = 27 GPa, Us = 7.3 km/s, up = 4.2 km/s, and at P = 55 GPa, Us = 10.0 km/s, up = 6.3 km/s.
  3. bPositive and negative parameter errors are given for asymmetric error ranges—a 2-level fit improved χ2 by <10%.
  4. cFixed parameters.