- Na2Mg3(SO4)3(OH)2(H2O)4 - Na₂Mg₃(SO₄)₃(OH)₂(H₂O)₄

The crystal structure is fully relaxed (both unit cell parameters and atomic positions under symmetry constraints) starting from an experimental structure similar to the one reported in ICSD database

Crystal Structure

Because of the translational symmetry all the calculations are performed in the primitive unit cell and not in the conventional unit cell. The following information regarding the structure is given with respect to this primitive unit cell, which sometimes can take an unintuitive shape.

Symmetry (experimental):

Space group:	36		Cmc2_1
Lattice parameters (Å):	19.7351	7.2228		10.0284
Angles (°):	90.0	90.0		90.0

Symmetry (theoretical):

Space group:	36		Cmc2_1
Lattice parameters (Å):	10.2556	10.2556		9.5981
Angles (°):	90.0	90.0		140.17

Cell contents:

Number of atoms:	72
Number of atom types:	5
Chemical composition:	0

Atomic positions (theoretical):

Na:	0.2080	0.7400	0.7742
Mg:	0.2108	0.2108	0.9877
Mg:	0.4923	0.3323	0.2812
S:	0.4703	0.1477	0.9903
O:	0.2835	0.0805	0.9746
O:	0.6263	0.3135	0.8915
O:	0.4270	0.9771	0.9561
O:	0.5461	0.2171	0.1343
S:	0.2101	0.2101	0.6661
O:	0.0883	0.0883	0.5438
O:	0.3986	0.2760	0.6670
O:	0.0874	0.0874	0.7923
O:	0.2769	0.2769	0.1883
O:	0.4820	0.4820	0.9072
O:	0.2800	0.0389	0.3595
O:	0.0095	0.6513	0.1158
H:	0.1490	0.1490	0.2315
H:	0.4471	0.4471	0.4941
H:	0.9495	0.1348	0.3565
H:	0.9819	0.7042	0.9575
H:	0.0302	0.4582	0.5609
H:	0.1133	0.3934	0.6435
Na:	0.7920	0.2600	0.2742
Mg:	0.7892	0.7892	0.4877
Mg:	0.5077	0.6677	0.7812
S:	0.5297	0.8523	0.4903
O:	0.7165	0.9195	0.4746
O:	0.3737	0.6865	0.3915
O:	0.5730	0.0229	0.4561
O:	0.4539	0.7829	0.6343
S:	0.7899	0.7899	0.1661
O:	0.9117	0.9117	0.0438
O:	0.6014	0.7240	0.1670
O:	0.9126	0.9126	0.2923
O:	0.7231	0.7231	0.6883
O:	0.5180	0.5180	0.4072
O:	0.7200	0.9611	0.8595
O:	0.9905	0.3487	0.6158
H:	0.8510	0.8510	0.7315
H:	0.5529	0.5529	0.9941
H:	0.0505	0.8652	0.8565
H:	0.0181	0.2958	0.4575
H:	0.9698	0.5418	0.0609
H:	0.8867	0.6066	0.1435
Na:	0.2600	0.7920	0.2742
Mg:	0.6677	0.5077	0.7812
S:	0.8523	0.5297	0.4903
O:	0.9195	0.7165	0.4746
O:	0.6865	0.3737	0.3915
O:	0.0229	0.5730	0.4561
O:	0.7829	0.4539	0.6343
O:	0.7240	0.6014	0.1670
O:	0.9611	0.7200	0.8595
O:	0.3487	0.9905	0.6158
H:	0.8652	0.0505	0.8565
H:	0.2958	0.0181	0.4575
H:	0.5418	0.9698	0.0609
H:	0.6066	0.8867	0.1435
Na:	0.7400	0.2080	0.7742
Mg:	0.3323	0.4923	0.2812
S:	0.1477	0.4703	0.9903
O:	0.0805	0.2835	0.9746
O:	0.3135	0.6263	0.8915
O:	0.9771	0.4270	0.9561
O:	0.2171	0.5461	0.1343
O:	0.2760	0.3986	0.6670
O:	0.0389	0.2800	0.3595
O:	0.6513	0.0095	0.1158
H:	0.1348	0.9495	0.3565
H:	0.7042	0.9819	0.9575
H:	0.4582	0.0302	0.5609
H:	0.3934	0.1133	0.6435

Atom type

We have listed here the reduced coordinates of all the atoms in the primitive unit cell.
It is enough to know only the position of the atoms from the assymetrical unit cell and then use the symmetry to build the whole crystal structure.

Visualization of the crystal structure:

You can define the size of the supercell to be displayed in the jmol panel as integer translations along the three crystallographic axis.
Please note that the structure is represented using the primitive cell, and not the conventional one.

Powder Raman

Powder Raman spectrum

The intensity of the Raman peaks is computed within the density-functional perturbation theory. The intensity depends on the temperature (for now fixed at 300K), frequency of the input laser (for now fixed at 21834 cm^-1, frequency of the phonon mode and the Raman tensor. The Raman tensor represents the derivative of the dielectric tensor during the atomic displacement that corresponds to the phonon vibration. The Raman tensor is related to the polarizability of a specific phonon mode.

Choose the polarization of the lasers.

I ∥

I ⊥

I Total

Horizontal:

Xmin:
Xmax:

Vertical:

Ymin:
Ymax:

Data about the phonon modes

Frequency of the transverse (TO) and longitudinal (LO) phonon modes in the zone-center. The longitudinal modes are computed along the three cartesian directions. You can visualize the atomic displacement pattern corresponding to each phonon by clicking on the appropriate cell in the table below.

1	-68	-66	-68	-68
2	-45	-45	-45	-45
3	0	0	0	0
4	0	0	0	0
5	0	0	0	0
6	57	61	59	57	4.083e+38 0.4	6.431e+38 0.6	1.051e+39 1.0
7	61	64	61	61	5.903e+38 0.6	4.534e+38 0.4	1.044e+39 1.0
8	64	64	64	64	1.134e+39 1.1	1.268e+39 1.2	2.402e+39 2.3
9	70	74	70	70	3.093e+37 0.0	4.877e+37 0.0	7.969e+37 0.1
10	76	76	76	76	6.392e+38 0.6	7.508e+38 0.7	1.390e+39 1.4
11	79	81	82	79	6.642e+38 0.6	7.802e+38 0.8	1.444e+39 1.4
12	82	82	83	82	3.419e+37 0.0	1.924e+37 0.0	5.343e+37 0.1
13	83	83	87	83	1.000e+37 0.0	1.121e+37 0.0	2.121e+37 0.0
14	87	87	87	87	1.301e+39 1.3	9.861e+38 1.0	2.287e+39 2.2
15	92	92	92	92
16	95	95	96	95	4.030e+38 0.4	4.732e+38 0.5	8.762e+38 0.9
17	96	99	99	96	2.565e+38 0.2	4.043e+38 0.4	6.608e+38 0.6
18	101	101	101	102	1.324e+39 1.3	1.848e+38 0.2	1.508e+39 1.5
19	103	103	103	103	2.231e+38 0.2	2.495e+38 0.2	4.725e+38 0.5
20	116	116	116	116	2.262e+38 0.2	2.530e+38 0.2	4.792e+38 0.5
21	117	117	117	117	6.691e+36 0.0	9.200e+36 0.0	1.589e+37 0.0
22	119	120	119	119	3.890e+37 0.0	6.127e+37 0.1	1.002e+38 0.1
23	121	121	121	122	6.504e+38 0.6	4.992e+37 0.0	7.003e+38 0.7
24	124	124	124	124	4.176e+37 0.0	6.578e+37 0.1	1.075e+38 0.1
25	125	125	125	129	2.557e+38 0.2	1.317e+38 0.1	3.874e+38 0.4
26	136	136	136	136	3.850e+37 0.0	4.306e+37 0.0	8.155e+37 0.1
27	136	136	136	136	8.042e+36 0.0	1.106e+37 0.0	1.910e+37 0.0
28	141	141	143	141	1.099e+38 0.1	1.292e+38 0.1	2.391e+38 0.2
29	147	147	147	147	3.727e+38 0.4	4.167e+38 0.4	7.895e+38 0.8
30	149	149	149	150	1.054e+39 1.0	1.500e+38 0.1	1.204e+39 1.2
31	152	157	152	152	1.168e+37 0.0	1.840e+37 0.0	3.008e+37 0.0
32	158	158	158	158
33	159	159	160	159	2.661e+36 0.0	3.659e+36 0.0	6.319e+36 0.0
34	160	160	160	160	2.194e+38 0.2	2.452e+38 0.2	4.646e+38 0.5
35	161	161	161	165	9.064e+37 0.1	2.757e+37 0.0	1.182e+38 0.1
36	166	166	166	166	1.227e+38 0.1	1.934e+38 0.2	3.161e+38 0.3
37	168	168	168	168	2.638e+37 0.0	4.136e+37 0.0	6.773e+37 0.1
38	168	168	168	168	2.163e+38 0.2	2.419e+38 0.2	4.582e+38 0.4
39	169	169	169	169	1.608e+38 0.2	1.891e+38 0.2	3.499e+38 0.3
40	169	169	169	173	4.221e+38 0.4	2.048e+37 0.0	4.426e+38 0.4
41	173	173	173	175
42	179	180	180	179	2.046e+38 0.2	2.402e+38 0.2	4.449e+38 0.4
43	180	180	181	180	1.452e+37 0.0	2.301e+37 0.0	3.753e+37 0.0
44	182	182	182	182	1.035e+38 0.1	1.160e+38 0.1	2.195e+38 0.2
45	182	182	182	183	6.358e+38 0.6	3.802e+38 0.4	1.016e+39 1.0
46	183	183	183	183	3.460e+38 0.3	5.435e+38 0.5	8.895e+38 0.9
47	187	187	188	187	9.835e+36 0.0	1.156e+37 0.0	2.140e+37 0.0
48	188	188	189	189	1.155e+38 0.1	1.127e+38 0.1	2.281e+38 0.2
49	194	194	194	194
50	194	194	194	194	5.382e+37 0.1	6.323e+37 0.1	1.171e+38 0.1
51	198	198	198	198	2.984e+39 2.9	3.880e+37 0.0	3.023e+39 2.9
52	198	198	200	198	2.656e+36 0.0	3.652e+36 0.0	6.309e+36 0.0
53	200	200	200	200	1.088e+38 0.1	1.217e+38 0.1	2.305e+38 0.2
54	206	206	206	207	2.113e+38 0.2	7.351e+37 0.1	2.848e+38 0.3
55	207	208	207	210	1.302e+38 0.1	2.051e+38 0.2	3.353e+38 0.3
56	217	217	218	217	4.395e+36 0.0	6.043e+36 0.0	1.044e+37 0.0
57	225	225	225	232	7.134e+37 0.1	5.345e+37 0.1	1.248e+38 0.1
58	232	233	233	232	1.143e+37 0.0	1.800e+37 0.0	2.943e+37 0.0
59	234	238	234	234	2.141e+37 0.0	3.371e+37 0.0	5.512e+37 0.1
60	238	240	238	238	2.373e+37 0.0	2.653e+37 0.0	5.025e+37 0.0
61	242	243	243	242	2.544e+38 0.2	2.987e+38 0.3	5.531e+38 0.5
62	243	243	243	243	6.473e+38 0.6	7.232e+38 0.7	1.370e+39 1.3
63	243	245	245	245	1.029e+39 1.0	3.584e+37 0.0	1.065e+39 1.0
64	245	245	250	257	3.769e+37 0.0	4.426e+37 0.0	8.195e+37 0.1
65	257	258	257	258	4.030e+38 0.4	6.349e+38 0.6	1.038e+39 1.0
66	258	258	258	259	6.654e+36 0.0	7.442e+36 0.0	1.410e+37 0.0
67	262	262	262	262	1.288e+38 0.1	3.337e+37 0.0	1.622e+38 0.2
68	266	267	268	266	8.070e+37 0.1	9.481e+37 0.1	1.755e+38 0.2
69	268	268	269	269	4.293e+38 0.4	8.209e+37 0.1	5.114e+38 0.5
70	269	275	274	275	2.349e+37 0.0	3.698e+37 0.0	6.047e+37 0.1
71	277	277	277	278	4.022e+38 0.4	1.230e+38 0.1	5.252e+38 0.5
72	278	278	278	283	2.139e+36 0.0	2.941e+36 0.0	5.080e+36 0.0
73	285	285	285	285	5.861e+36 0.0	6.556e+36 0.0	1.242e+37 0.0
74	286	287	288	286	6.015e+37 0.1	7.067e+37 0.1	1.308e+38 0.1
75	288	288	289	288	1.873e+38 0.2	2.094e+38 0.2	3.967e+38 0.4
76	296	296	296	296	1.037e+38 0.1	1.633e+38 0.2	2.670e+38 0.3
77	297	298	298	297	6.426e+36 0.0	7.609e+36 0.0	1.404e+37 0.0
78	298	298	303	298	1.050e+39 1.0	6.788e+37 0.1	1.118e+39 1.1
79	314	314	315	314	1.044e+37 0.0	1.228e+37 0.0	2.272e+37 0.0
80	317	317	317	317	9.604e+36 0.0	1.074e+37 0.0	2.034e+37 0.0
81	325	326	326	325	3.698e+37 0.0	5.826e+37 0.1	9.524e+37 0.1
82	334	334	334	334	2.749e+39 2.7	1.395e+38 0.1	2.889e+39 2.8
83	334	338	335	335	5.580e+38 0.5	1.999e+38 0.2	7.579e+38 0.7
84	340	340	340	340	5.080e+38 0.5	4.865e+38 0.5	9.944e+38 1.0
85	341	341	341	341	6.465e+36 0.0	7.269e+36 0.0	1.373e+37 0.0
86	342	342	344	342	9.448e+36 0.0	1.110e+37 0.0	2.055e+37 0.0
87	389	391	390	389	2.033e+37 0.0	3.202e+37 0.0	5.235e+37 0.1
88	391	391	391	391	6.698e+36 0.0	7.870e+36 0.0	1.457e+37 0.0
89	391	392	391	391	1.117e+38 0.1	1.249e+38 0.1	2.365e+38 0.2
90	394	394	394	395	3.449e+37 0.0	1.636e+37 0.0	5.086e+37 0.0
91	400	402	401	400	1.421e+36 0.0	1.954e+36 0.0	3.376e+36 0.0
92	402	406	402	402	2.659e+38 0.3	1.296e+38 0.1	3.955e+38 0.4
93	406	407	406	406	7.414e+38 0.7	8.290e+38 0.8	1.570e+39 1.5
94	413	413	413	413	1.759e+38 0.2	2.066e+38 0.2	3.825e+38 0.4
95	416	416	416	419	9.358e+37 0.1	9.066e+37 0.1	1.842e+38 0.2
96	419	422	419	425	1.440e+38 0.1	2.268e+38 0.2	3.708e+38 0.4
97	425	426	426	425	3.258e+38 0.3	3.827e+38 0.4	7.085e+38 0.7
98	427	428	433	427	2.889e+38 0.3	3.393e+38 0.3	6.282e+38 0.6
99	433	433	434	433	9.741e+37 0.1	1.091e+38 0.1	2.065e+38 0.2
100	434	434	435	435	1.130e+39 1.1	3.127e+38 0.3	1.443e+39 1.4
101	435	435	438	445	6.933e+35 0.0	6.661e+35 0.0	1.359e+36 0.0
102	445	449	446	446	1.645e+39 1.6	2.591e+39 2.5	4.235e+39 4.1
103	453	453	453	456	4.893e+39 4.8	3.817e+39 3.7	8.711e+39 8.5
104	456	456	457	458	1.220e+39 1.2	1.434e+39 1.4	2.654e+39 2.6
105	458	460	460	458	2.709e+38 0.3	4.267e+38 0.4	6.976e+38 0.7
106	460	462	463	460	3.863e+38 0.4	4.319e+38 0.4	8.183e+38 0.8
107	467	467	467	467	1.779e+38 0.2	1.989e+38 0.2	3.768e+38 0.4
108	473	473	473	473	3.898e+38 0.4	3.142e+38 0.3	7.040e+38 0.7
109	476	476	476	476	2.644e+39 2.6	4.165e+39 4.1	6.809e+39 6.6
110	479	479	479	479
111	497	500	498	497	9.337e+37 0.1	1.471e+38 0.1	2.405e+38 0.2
112	500	501	500	500	5.801e+38 0.6	6.489e+38 0.6	1.229e+39 1.2
113	501	502	501	510	2.229e+39 2.2	1.478e+39 1.4	3.707e+39 3.6
114	512	512	513	512	3.968e+38 0.4	4.661e+38 0.5	8.629e+38 0.8
115	524	524	524	524	7.477e+38 0.7	8.360e+38 0.8	1.584e+39 1.5
116	527	533	528	527	2.359e+38 0.2	3.716e+38 0.4	6.075e+38 0.6
117	538	538	538	538	1.749e+38 0.2	1.529e+38 0.1	3.278e+38 0.3
118	540	540	540	544	1.077e+39 1.0	1.062e+39 1.0	2.139e+39 2.1
119	544	544	544	556	1.430e+38 0.1	1.680e+38 0.2	3.109e+38 0.3
120	556	557	559	561	4.462e+38 0.4	5.242e+38 0.5	9.703e+38 0.9
121	561	572	572	567	3.295e+37 0.0	5.191e+37 0.1	8.486e+37 0.1
122	572	590	573	572	4.653e+39 4.5	5.203e+39 5.1	9.856e+39 9.6
123	590	591	590	590	1.028e+39 1.0	7.787e+38 0.8	1.807e+39 1.8
124	591	596	591	591	2.818e+38 0.3	3.310e+38 0.3	6.128e+38 0.6
125	597	597	597	598	3.872e+38 0.4	1.505e+38 0.1	5.378e+38 0.5
126	604	604	604	604	6.216e+37 0.1	6.952e+37 0.1	1.317e+38 0.1
127	606	606	606	606	2.429e+39 2.4	2.853e+39 2.8	5.281e+39 5.1
128	609	609	609	609	1.544e+38 0.2	2.432e+38 0.2	3.976e+38 0.4
129	614	614	614	614	3.200e+39 3.1	2.515e+39 2.4	5.715e+39 5.6
130	614	617	615	617	4.375e+36 0.0	5.608e+36 0.0	9.983e+36 0.0
131	617	619	617	619	7.691e+38 0.7	8.598e+38 0.8	1.629e+39 1.6
132	621	622	621	621	2.121e+38 0.2	3.342e+38 0.3	5.463e+38 0.5
133	622	629	626	622	6.979e+38 0.7	8.197e+38 0.8	1.518e+39 1.5
134	629	629	629	629	9.420e+38 0.9	1.107e+39 1.1	2.049e+39 2.0
135	629	646	633	630	8.822e+38 0.9	7.655e+38 0.7	1.648e+39 1.6
136	646	647	646	646	2.150e+38 0.2	2.404e+38 0.2	4.553e+38 0.4
137	651	652	652	651	1.234e+36 0.0	1.697e+36 0.0	2.932e+36 0.0
138	652	655	655	653	1.468e+39 1.4	4.810e+38 0.5	1.949e+39 1.9
139	655	656	656	655	1.450e+39 1.4	1.703e+39 1.7	3.152e+39 3.1
140	656	659	660	656	1.126e+38 0.1	1.259e+38 0.1	2.384e+38 0.2
141	670	672	670	670	1.694e+37 0.0	2.669e+37 0.0	4.363e+37 0.0
142	672	676	673	672	4.100e+37 0.0	4.817e+37 0.0	8.917e+37 0.1
143	676	676	676	676	6.335e+38 0.6	4.293e+38 0.4	1.063e+39 1.0
144	677	677	677	677	2.714e+38 0.3	3.036e+38 0.3	5.750e+38 0.6
145	701	701	701	701	6.498e+38 0.6	4.825e+38 0.5	1.132e+39 1.1
146	715	715	715	715	8.076e+37 0.1	1.272e+38 0.1	2.080e+38 0.2
147	758	758	758	766	1.050e+39 1.0	5.878e+38 0.6	1.637e+39 1.6
148	766	767	766	773	3.433e+37 0.0	5.407e+37 0.1	8.840e+37 0.1
149	777	777	777	777	1.504e+37 0.0	6.503e+36 0.0	2.154e+37 0.0
150	777	778	780	778	6.433e+37 0.1	1.698e+37 0.0	8.132e+37 0.1
151	780	780	782	780	2.265e+37 0.0	2.532e+37 0.0	4.797e+37 0.0
152	792	793	797	792	1.069e+38 0.1	1.255e+38 0.1	2.324e+38 0.2
153	904	904	904	904	2.803e+37 0.0	3.135e+37 0.0	5.938e+37 0.1
154	906	911	907	906	1.791e+37 0.0	2.822e+37 0.0	4.613e+37 0.0
155	916	916	916	916	2.924e+36 0.0	3.435e+36 0.0	6.359e+36 0.0
156	918	918	918	918	2.693e+39 2.6	5.586e+38 0.5	3.252e+39 3.2
157	926	926	926	926	1.753e+38 0.2	2.762e+38 0.3	4.515e+38 0.4
158	926	932	927	926	3.941e+38 0.4	4.406e+38 0.4	8.347e+38 0.8
159	958	958	959	958	3.643e+38 0.4	4.279e+38 0.4	7.922e+38 0.8
160	963	963	963	964	1.087e+40 10.6	5.003e+37 0.0	1.092e+40 10.6
161	994	994	994	996	1.188e+40 11.6	1.048e+38 0.1	1.199e+40 11.7
162	1001	1001	1001	1001	5.827e+37 0.1	6.845e+37 0.1	1.267e+38 0.1
163	1003	1003	1003	1003	1.335e+38 0.1	1.493e+38 0.1	2.828e+38 0.3
164	1003	1003	1003	1003	7.403e+37 0.1	8.696e+37 0.1	1.610e+38 0.2
165	1006	1006	1006	1006	1.028e+41 100.0	3.589e+35 0.0	1.028e+41 100.0
166	1006	1007	1006	1006	3.738e+37 0.0	4.706e+36 0.0	4.208e+37 0.0
167	1046	1046	1046	1046	1.772e+38 0.2	1.981e+38 0.2	3.753e+38 0.4
168	1048	1048	1050	1048	2.038e+38 0.2	2.395e+38 0.2	4.433e+38 0.4
169	1054	1059	1057	1054	1.364e+38 0.1	2.149e+38 0.2	3.513e+38 0.3
170	1059	1075	1059	1060	5.389e+38 0.5	2.101e+38 0.2	7.490e+38 0.7
171	1084	1084	1084	1089	1.657e+39 1.6	1.399e+39 1.4	3.055e+39 3.0
172	1101	1102	1104	1101	2.035e+38 0.2	2.390e+38 0.2	4.425e+38 0.4
173	1104	1106	1106	1104	2.084e+37 0.0	3.282e+37 0.0	5.366e+37 0.1
174	1106	1114	1113	1106	9.572e+38 0.9	1.070e+39 1.0	2.028e+39 2.0
175	1114	1119	1114	1114	2.746e+37 0.0	4.326e+37 0.0	7.072e+37 0.1
176	1120	1120	1120	1123	6.998e+38 0.7	4.664e+38 0.5	1.166e+39 1.1
177	1123	1123	1123	1126	4.667e+36 0.0	5.219e+36 0.0	9.887e+36 0.0
178	1126	1129	1137	1136	3.558e+38 0.3	4.179e+38 0.4	7.737e+38 0.8
179	1139	1139	1139	1157	2.934e+39 2.9	2.561e+39 2.5	5.495e+39 5.3
180	1157	1159	1157	1160	1.584e+37 0.0	2.495e+37 0.0	4.079e+37 0.0
181	1160	1160	1160	1161	2.028e+39 2.0	2.268e+39 2.2	4.296e+39 4.2
182	1161	1162	1164	1163	4.367e+37 0.0	5.130e+37 0.0	9.498e+37 0.1
183	1164	1169	1169	1164	1.004e+37 0.0	1.582e+37 0.0	2.586e+37 0.0
184	1169	1181	1177	1169	4.843e+38 0.5	5.416e+38 0.5	1.026e+39 1.0
185	1182	1183	1183	1182	1.992e+39 1.9	2.340e+39 2.3	4.332e+39 4.2
186	1183	1210	1210	1189	7.744e+38 0.8	5.815e+38 0.6	1.356e+39 1.3
187	1218	1218	1218	1233	2.169e+39 2.1	9.249e+38 0.9	3.094e+39 3.0
188	1240	1241	1241	1240	2.061e+39 2.0	2.421e+39 2.4	4.483e+39 4.4
189	1500	1500	1501	1500	2.359e+38 0.2	2.772e+38 0.3	5.131e+38 0.5
190	1501	1501	1501	1501	2.101e+39 2.0	2.024e+39 2.0	4.125e+39 4.0
191	1510	1510	1510	1510	1.241e+38 0.1	1.388e+38 0.1	2.629e+38 0.3
192	1514	1515	1514	1514	1.983e+37 0.0	3.124e+37 0.0	5.107e+37 0.0
193	1596	1596	1596	1596	1.289e+38 0.1	2.030e+38 0.2	3.320e+38 0.3
194	1598	1598	1598	1601	9.966e+38 1.0	5.832e+38 0.6	1.580e+39 1.5
195	1601	1601	1601	1603	1.123e+38 0.1	1.256e+38 0.1	2.379e+38 0.2
196	1609	1610	1616	1609	2.437e+38 0.2	2.863e+38 0.3	5.300e+38 0.5
197	2981	2981	2981	2984	7.501e+40 73.0	6.333e+39 6.2	8.134e+40 79.1
198	2984	2984	2984	2986	2.388e+38 0.2	2.671e+38 0.3	5.060e+38 0.5
199	2986	2986	2987	2987	3.919e+37 0.0	4.449e+37 0.0	8.368e+37 0.1
200	2989	3001	2992	2989	1.358e+38 0.1	2.126e+38 0.2	3.484e+38 0.3
201	3108	3108	3108	3116	4.392e+39 4.3	2.855e+39 2.8	7.247e+39 7.1
202	3116	3116	3116	3124	2.280e+39 2.2	2.550e+39 2.5	4.830e+39 4.7
203	3124	3136	3127	3136	6.508e+39 6.3	1.025e+40 10.0	1.676e+40 16.3
204	3136	3144	3136	3137	7.761e+38 0.8	9.118e+38 0.9	1.688e+39 1.6
205	3257	3259	3259	3257	3.922e+39 3.8	6.178e+39 6.0	1.010e+40 9.8
206	3259	3278	3259	3259	1.856e+39 1.8	2.075e+39 2.0	3.931e+39 3.8
207	3280	3283	3281	3280	2.287e+38 0.2	2.687e+38 0.3	4.974e+38 0.5
208	3287	3287	3287	3287	1.955e+40 19.0	6.775e+39 6.6	2.633e+40 25.6
209	3347	3347	3347	3347	1.519e+39 1.5	1.790e+39 1.7	3.309e+39 3.2
210	3347	3348	3353	3348	1.588e+40 15.5	4.704e+39 4.6	2.059e+40 20.0
211	3460	3460	3460	3460	9.142e+38 0.9	1.440e+39 1.4	2.354e+39 2.3
212	3460	3462	3460	3460	2.226e+39 2.2	2.489e+39 2.4	4.715e+39 4.6
213	3471	3471	3471	3471	4.602e+40 44.8	3.415e+39 3.3	4.944e+40 48.1
214	3473	3475	3485	3473	6.750e+37 0.1	7.929e+37 0.1	1.468e+38 0.1
215	3639	3639	3639	3642	1.901e+40 18.5	1.624e+39 1.6	2.063e+40 20.1
216	3643	3643	3643	3643	3.608e+39 3.5	4.238e+39 4.1	7.846e+39 7.6

No.

Char.

ω TO

ω LOx

ω LOy

ω LOz

I ∥

I ⊥