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All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: LSDA/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at LSDA/6-31+G**
Rotational Constants (cm-1) from geometry optimized at LSDA/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-234.546056
Energy at 298.15K-234.559283
HF Energy-234.546056
Nuclear repulsion energy251.180351
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at LSDA/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3048 3002 55.68      
2 A' 3045 2999 30.39      
3 A' 3039 2993 24.79      
4 A' 2997 2952 27.01      
5 A' 2982 2938 15.97      
6 A' 2975 2930 2.58      
7 A' 2965 2920 24.49      
8 A' 2962 2917 32.58      
9 A' 1434 1412 14.72      
10 A' 1424 1402 5.30      
11 A' 1420 1398 4.07      
12 A' 1351 1331 2.44      
13 A' 1348 1328 25.84      
14 A' 1319 1299 0.24      
15 A' 1306 1287 8.69      
16 A' 1224 1206 8.95      
17 A' 1208 1190 1.46      
18 A' 1163 1146 0.26      
19 A' 1136 1119 0.14      
20 A' 1030 1015 0.09      
21 A' 930 916 2.04      
22 A' 925 911 1.04      
23 A' 852 840 1.87      
24 A' 807 794 1.80      
25 A' 632 623 3.07      
26 A' 415 409 0.08      
27 A' 320 316 0.18      
28 A' 115 113 0.01      
29 A" 3055 3009 22.04      
30 A" 3053 3007 16.58      
31 A" 3038 2993 15.73      
32 A" 2975 2930 68.56      
33 A" 1427 1406 6.73      
34 A" 1425 1403 2.91      
35 A" 1393 1372 10.72      
36 A" 1238 1219 0.09      
37 A" 1216 1198 0.05      
38 A" 1176 1158 0.04      
39 A" 1103 1086 0.22      
40 A" 1085 1068 0.33      
41 A" 955 941 4.82      
42 A" 902 889 0.07      
43 A" 888 875 0.04      
44 A" 780 768 0.34      
45 A" 360 354 0.00      
46 A" 258 254 0.11      
47 A" 252 248 0.04      
48 A" 225 222 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 35586.3 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 35052.5 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at LSDA/6-31+G**
ABC
0.25668 0.07909 0.07270

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.258 0.087 1.073
C2 0.258 0.087 -1.073
C3 -0.660 0.699 0.000
C4 0.853 -0.845 0.000
C5 -0.867 2.190 0.000
C6 0.258 -2.232 0.000
H7 0.994 0.824 1.441
H8 -0.225 -0.396 1.941
H9 0.994 0.824 -1.441
H10 -0.225 -0.396 -1.941
H11 -1.639 0.186 0.000
H12 1.955 -0.912 0.000
H13 0.106 2.713 0.000
H14 -0.846 -2.187 0.000
H15 -1.428 2.516 -0.893
H16 -1.428 2.516 0.893
H17 0.572 -2.799 -0.894
H18 0.572 -2.799 0.894

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.14631.53871.54142.61482.55571.10451.10422.72143.09062.18162.24322.84102.74613.55072.96243.50642.9084
C22.14631.53871.54142.61482.55572.72143.09061.10451.10422.18162.24322.84102.74612.96243.55072.90843.5064
C31.53871.53872.16191.50543.07122.19702.27042.19702.27041.10513.07152.15532.89132.16592.16593.81393.8139
C41.54141.54142.16193.48871.50942.20992.26552.20992.26552.69741.10393.63652.16514.15974.15972.16632.1663
C52.61482.61481.50543.48874.56282.72103.29612.72103.29612.14734.19371.10464.37651.10371.10375.26805.2680
C62.55572.55573.07121.50944.56283.45832.71573.45832.71573.07352.15034.94801.10495.11755.11751.10351.1035
H71.10452.72142.19702.20992.72103.45831.79482.88223.79623.06842.45282.53673.81143.76503.00504.33043.6881
H81.10423.09062.27042.26553.29612.71571.79483.79623.88242.47132.96433.67992.71364.23763.32073.80072.7399
H92.72141.10452.19702.20992.72103.45832.88223.79621.79483.06842.45282.53673.81143.00503.76503.68814.3304
H103.09061.10422.27042.26553.29612.71573.79623.88241.79482.47132.96433.67992.71363.32074.23762.73993.8007
H112.18162.18161.10512.69742.14733.07353.06842.47133.06842.47133.75833.07102.50172.50432.50433.82023.8202
H122.24322.24323.07151.10394.19372.15032.45282.96432.45282.96433.75834.07023.07774.89904.89902.50412.5041
H132.84102.84102.15533.63651.10464.94802.53673.67992.53673.67993.07104.07024.99171.78541.78545.60345.6034
H142.74612.74612.89132.16514.37651.10493.81142.71363.81142.71362.50173.07774.99174.82234.82231.78421.7842
H153.55072.96242.16594.15971.10375.11753.76504.23763.00503.32072.50434.89901.78544.82231.78515.67885.9531
H162.96243.55072.16594.15971.10375.11753.00503.32073.76504.23762.50434.89901.78544.82231.78515.95315.6788
H173.50642.90843.81392.16635.26801.10354.33043.80073.68812.73993.82022.50415.60341.78425.67885.95311.7872
H182.90843.50643.81392.16635.26801.10353.68812.73994.33043.80073.82022.50415.60341.78425.95315.67881.7872

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.439 C1 C3 C5 118.397
C1 C3 H11 110.129 C1 C4 C2 88.245
C1 C4 C6 113.797 C1 C4 H12 114.981
C2 C3 C5 118.397 C2 C3 H11 110.129
C2 C4 C6 113.797 C2 C4 H12 114.981
C3 C1 C4 89.157 C3 C1 H7 111.385
C3 C1 H8 117.477 C3 C2 C4 89.157
C3 C2 H9 111.385 C3 C2 H10 117.477
C3 C5 H13 110.395 C3 C5 H15 111.288
C3 C5 H16 111.288 C4 C1 H7 112.221
C4 C1 H8 116.851 C4 C2 H9 112.221
C4 C2 H10 116.851 C4 C6 H14 110.876
C4 C6 H17 111.057 C4 C6 H18 111.057
C5 C3 H11 109.728 C6 C4 H12 109.763
H7 C1 H8 108.710 H9 C2 H10 108.710
H13 C5 H15 107.901 H13 C5 H16 107.901
H14 C6 H17 107.784 H14 C6 H18 107.784
H15 C5 H16 107.928 H17 C6 H18 108.141
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.492      
2 C -0.492      
3 C 0.165      
4 C 0.083      
5 C -0.777      
6 C -0.631      
7 H 0.174      
8 H 0.176      
9 H 0.174      
10 H 0.176      
11 H 0.173      
12 H 0.167      
13 H 0.179      
14 H 0.184      
15 H 0.184      
16 H 0.184      
17 H 0.187      
18 H 0.187      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.037 -0.005 0.000 0.037
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.248 0.242 0.000
y 0.242 -41.075 0.000
z 0.000 0.000 -41.092
Traceless
 xyz
x 0.835 0.242 0.000
y 0.242 -0.405 0.000
z 0.000 0.000 -0.431
Polar
3z2-r2-0.862
x2-y20.827
xy0.242
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.971 -0.757 0.000
y -0.757 11.933 0.000
z 0.000 0.000 10.456


<r2> (average value of r2) Å2
<r2> 188.650
(<r2>)1/2 13.735