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Rapidity distributions of Z = 1 isotopes and the nuclear symmetry energy from Sn+Sn collisions with radioactive beams at 270 MeV/nucleon

The rapidity distributions of hydrogen isotopes emitted from central collisions of neutron-rich 132 Sn+ 124 Sn and neutron-deficient 108 Sn+ 112 Sn systems at 270 MeV/nucleon were investigated at RIKEN-RIBF. The data are compared with antisymmetrized molecular dynamics (AMD) calculations and the rapidity distributions can be reproduced after adjusting the in-medium nucleon-nucleon cross sections. The double ratios between the two reaction systems taken for the relative yields of deuteron to proton (d/p) and triton to proton (t/p) are further examined in the midrapidity domain, where the adjustments in the AMD calculations do not affect much on them. The d/p and t/p double ratios at midrapidity agree well with the ratio of the system neutron numbers and its squared value, respectively, and the rapidity dependence of these double ratios is consistent with a picture of partial mixing of colliding nuclei. By comparing with the AMD model which shows a strong symmetry energy dependence of the t/p double ratio, the experimental result in the midrapidity domain favors the calculation with a symmetry-energy slope parameter around L = 46 MeV rather than L = 108 MeV.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Materials Data on Mo6H10N2Cl14O by Materials Project

(Mo3Cl7)2(NH4)2H2O crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of four ammonium molecules, two water molecules, and two Mo3Cl7 clusters. In each Mo3Cl7 cluster, there are six inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded in a distorted see-saw-like geometry to four Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.48–2.92 Å. In the second Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.41–2.61 Å. In the third Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.40–2.65 Å. In the fourth Mo2+ site, Mo2+ is bonded in a distorted see-saw-like geometry to four Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.49–2.95 Å. In the fifth Mo2+ site, Mo2+ is bonded in a 3-coordinate geometry to three Cl1- atoms. There are one shorter (2.46 Å) and two longer (2.55 Å) Mo–Cl bond lengths. In the sixth Mo2+ site, Mo2+ is bonded in a 3-coordinate geometry to three Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.45–2.58 Å. There are fourteen inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 1-coordinate geometry to three Mo2+ atoms. In the second Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the third Cl1- site, Cl1- is bonded in an L-shaped geometry to two Mo2+ atoms. In the fourth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the fifth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the sixth Cl1- site, Cl1- is bonded in an L-shaped geometry to two Mo2+ atoms. In the seventh Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Mo2+ atoms. In the eighth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the ninth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the tenth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the eleventh Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the twelfth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the thirteenth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the fourteenth Cl1- site, Cl1- is bonded in a distorted single-bond geometry to one Mo2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mo6H10N2Cl14O by Materials Project

(Mo3Cl7)2(NH4)2H2O crystallizes in the monoclinic Cc space group. The structure is zero-dimensional and consists of eight ammonium molecules, four water molecules, and four Mo3Cl7 clusters. In each Mo3Cl7 cluster, there are six inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded in a distorted T-shaped geometry to three Cl1- atoms. There are one shorter (2.47 Å) and two longer (2.54 Å) Mo–Cl bond lengths. In the second Mo2+ site, Mo2+ is bonded in a 3-coordinate geometry to five Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.44–3.11 Å. In the third Mo2+ site, Mo2+ is bonded in a square pyramidal geometry to five Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.41–2.53 Å. In the fourth Mo2+ site, Mo2+ is bonded in a square pyramidal geometry to five Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.45–2.54 Å. In the fifth Mo2+ site, Mo2+ is bonded in a 3-coordinate geometry to three Cl1- atoms. There are a spread of Mo–Cl bond distances ranging from 2.46–2.55 Å. In the sixth Mo2+ site, Mo2+ is bonded in a distorted T-shaped geometry to three Cl1- atoms. There are one shorter (2.44 Å) and two longer (2.55 Å) Mo–Cl bond lengths. There are fourteen inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the second Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the third Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the fourth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to three Mo2+ atoms. In the fifth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the sixth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to three Mo2+ atoms. In the seventh Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the eighth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the ninth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the tenth Cl1- site, Cl1- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the eleventh Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the twelfth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the thirteenth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom. In the fourteenth Cl1- site, Cl1- is bonded in a single-bond geometry to one Mo2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2Co2Si8H72C24N4O by Materials Project

Na2Co2Si8C24N4H72O crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of one Na2Co2Si8C24N4H72O cluster. Na is bonded in a distorted T-shaped geometry to two N and one O atom. There are one shorter (2.66 Å) and one longer (2.70 Å) Na–N bond lengths. The Na–O bond length is 2.29 Å. Co is bonded in a distorted trigonal planar geometry to two N and one O atom. Both Co–N bond lengths are 2.03 Å. The Co–O bond length is 1.93 Å. There are four inequivalent Si sites. In the first Si site, Si is bonded to three C and one N atom to form corner-sharing SiC3N tetrahedra. There is one shorter (1.88 Å) and two longer (1.89 Å) Si–C bond length. The Si–N bond length is 1.75 Å. In the second Si site, Si is bonded to three C and one N atom to form corner-sharing SiC3N tetrahedra. There are a spread of Si–C bond distances ranging from 1.88–1.90 Å. The Si–N bond length is 1.74 Å. In the third Si site, Si is bonded to three C and one N atom to form corner-sharing SiC3N tetrahedra. There is one shorter (1.88 Å) and two longer (1.89 Å) Si–C bond length. The Si–N bond length is 1.75 Å. In the fourth Si site, Si is bonded to three C and one N atom to form corner-sharing SiC3N tetrahedra. There is one shorter (1.88 Å) and two longer (1.89 Å) Si–C bond length. The Si–N bond length is 1.75 Å. There are twelve inequivalent C sites. In the first C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the second C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the third C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. In the fourth C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the fifth C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the sixth C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the seventh C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the eighth C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the ninth C site, C is bonded to one Si and three H atoms to form distorted corner-sharing CSiH3 tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. In the tenth C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. In the eleventh C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. In the twelfth C site, C is bonded to one Si and three H atoms to form corner-sharing CSiH3 tetrahedra. All C–H bond lengths are 1.10 Å. There are two inequivalent N sites. In the first N site, N is bonded in a 4-coordinate geometry to one Na, one Co, and two Si atoms. In the second N site, N is bonded in a 4-coordinate geometry to one Na, one Co, and two Si atoms. There are thirty-five inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one C atom. In the second H site, H is bonded in a single-bond geometry to one C atom. In the third H site, H is bonded in a single-bond geometry to one C atom. In the fourth H site, H is bonded in a single-bond geometry to one C atom. In the fifth H site, H is bonded in a single-bond geometry to one C atom. In the sixth H site, H is bonded in a single-bond geometry to one C atom. In the seventh H site, H is bonded in a single-bond geometry to one C atom. In the eighth H site, H is bonded in a single-bond geometry to one C atom. In the ninth H site, H is bonded in a single-bond geometry to one C atom. In the tenth H site, H is bonded in a single-bond geometry to one C atom. In the eleventh H site, H is bonded in a single-bond geometry to one C atom. In the twelfth H site, H is bonded in a single-bond geometry to one C atom. In the thirteenth H site, H is bonded in a single-bond geometry to one C atom. In the fourteenth H site, H is bonded in a single-bond geometry to one C atom. In the fifteenth H site, H is bonded in a single-bond geometry to one C atom. In the sixteenth H site, H is bonded in a single-bond geometry to one C atom. In the seventeenth H site, H is bonded in a single-bond geometry to one C atom. In the eighteenth H site, H is bonded in a single-bond geometry to one C atom. In the nineteenth H site, H is bonded in a single-bond geometry to one C atom. In the twentieth H site, H is bonded in a single-bond geometry to one C atom. In the twenty-first H site, H is bonded in a single-bond geometry to one C atom. In the twenty-second H site, H is bonded in a single-bond geometry to one C atom. In the twenty-third H site, H is bonded in a single-bond geometry to one C atom. In the twenty-fourth H site, H is bonded in a single-bond geometry to one C atom. In the twenty-fifth H site, H is bonded in a single-bond geometry to one C atom. In the twenty-sixth H site, H is bonded in a single-bond geometry to one C atom. In the twenty-seventh H site, H is bonded in a single-bond geometry to one C atom. In the twenty-eighth H site, H is bonded in a single-bond geometry to one C atom. In the twenty-ninth H site, H is bonded in a single-bond geometry to one C atom. In the thirtieth H site, H is bonded in a single-bond geometry to one C atom. In the thirty-first H site, H is bonded in a single-bond geometry to one C atom. In the thirty-second H site, H is bonded in a single-bond geometry to one C atom. In the thirty-third H site, H is bonded in a single-bond geometry to one C atom. In the thirty-fourth H site, H is bonded in a single-bond geometry to one C atom. In the thirty-fifth H site, H is bonded in a single-bond geometry to one C atom. O is bonded in a square co-planar geometry to two equivalent Na and two equivalent Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sb4S3N6(OF)12 by Materials Project

(N2)3Sb4(SO4)3F12 crystallizes in the triclinic P1 space group. The structure is one-dimensional and consists of eighteen ammonia molecules; two Sb4(SO4)3F12 clusters; and one Sb4(SO4)3F12 ribbon oriented in the (1, 0, 0) direction. In each Sb4(SO4)3F12 cluster, there are four inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to two O2- and three F1- atoms to form distorted SbO2F3 square pyramids that share corners with two SO4 tetrahedra. There are one shorter (2.33 Å) and one longer (2.48 Å) Sb–O bond lengths. There are a spread of Sb–F bond distances ranging from 1.90–1.93 Å. In the second Sb5+ site, Sb5+ is bonded to two O2- and three F1- atoms to form distorted SbO2F3 square pyramids that share corners with two SO4 tetrahedra. There are one shorter (2.37 Å) and one longer (2.47 Å) Sb–O bond lengths. There is one shorter (1.90 Å) and two longer (1.92 Å) Sb–F bond length. In the third Sb5+ site, Sb5+ is bonded to two O2- and three F1- atoms to form distorted SbO2F3 trigonal bipyramids that share corners with two SO4 tetrahedra. There is one shorter (1.99 Å) and one longer (2.00 Å) Sb–O bond length. There is two shorter (1.88 Å) and one longer (1.89 Å) Sb–F bond length. In the fourth Sb5+ site, Sb5+ is bonded to three O2- and three F1- atoms to form SbO3F3 octahedra that share corners with three SO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.00–2.03 Å. There is one shorter (1.90 Å) and two longer (1.91 Å) Sb–F bond length. There are three inequivalent S2- sites. In the first S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one SbO3F3 octahedra and corners with two SbO2F3 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of S–O bond distances ranging from 1.44–1.58 Å. In the second S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one SbO3F3 octahedra, a cornercorner with one SbO2F3 square pyramid, and a cornercorner with one SbO2F3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of S–O bond distances ranging from 1.43–1.58 Å. In the third S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one SbO3F3 octahedra, a cornercorner with one SbO2F3 square pyramid, and a cornercorner with one SbO2F3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of S–O bond distances ranging from 1.42–1.59 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb5+ and one S2- atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one S2- atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb5+ and one S2- atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Sb5+ and one S2- atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one S2- atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Sb5+ and one S2- atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the ninth O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Sb5+ and one S2- atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Sb5+ and one S2- atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb5+ and one S2- atom. There are twelve inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the second F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the third F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the fourth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the fifth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the sixth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the seventh F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the eighth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the ninth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the tenth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the eleventh F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the twelfth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the Sb4(SO4)3F12 ribbon, there are four inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to two O2- and four F1- atoms to form SbO2F4 octahedra that share a cornercorner with one SbO3F3 octahedra and corners with two SO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. There are one shorter (2.00 Å) and one longer (2.02 Å) Sb–O bond lengths. There are three shorter (1.88 Å) and one longer (2.20 Å) Sb–F bond lengths. In the second Sb5+ site, Sb5+ is bonded to two O2- and four F1- atoms to form SbO2F4 octahedra that share a cornercorner with one SbO3F3 octahedra and corners with two SO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. There are one shorter (2.00 Å) and one longer (2.01 Å) Sb–O bond lengths. There are a spread of Sb–F bond distances ranging from 1.88–2.18 Å. In the third Sb5+ site, Sb5+ is bonded to two O2- and four F1- atoms to form SbO2F4 octahedra that share a cornercorner with one SbO3F3 octahedra and corners with two SO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. Both Sb–O bond lengths are 2.01 Å. There are a spread of Sb–F bond distances ranging from 1.88–2.20 Å. In the fourth Sb5+ site, Sb5+ is bonded to three O2- and three F1- atoms to form distorted SbO3F3 octahedra that share corners with three SbO2F4 octahedra and corners with three SO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sb–O bond distances ranging from 2.56–2.67 Å. There are two shorter (2.10 Å) and one longer (2.12 Å) Sb–F bond lengths. There are three inequivalent S2- sites. In the first S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of S–O bond distances ranging from 1.43–1.57 Å. In the second S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of S–O bond distances ranging from 1.43–1.56 Å. In the third S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of S–O bond distances ranging from 1.42–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the second O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the third O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Sb5+ and one S2- atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Sb5+ and one S2- atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Sb5+ and one S2- atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one S2- atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one S2- atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one S2- atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb5+ and one S2- atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb5+ and one S2- atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb5+ and one S2- atom. There are twelve inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the second F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the third F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the fourth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the fifth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the sixth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the seventh F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the eighth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the ninth F1- site, F1- is bonded in a single-bond geometry to one Sb5+ atom. In the tenth F1- site, F1- is bonded in a distorted linear geometry to two Sb5+ atoms. In the eleventh F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Sb5+ atoms. In the twelfth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Sb5+ atoms.

36 MATERIALS SCIENCE↗