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

using model chemistry: HF/daug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2H 1Ag
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Energy calculated at HF/daug-cc-pVTZ
 hartrees
Energy at 0K-234.250057
Energy at 298.15K 
HF Energy-234.250057
Nuclear repulsion energy249.472357
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 HF/daug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3201 2896 0.00      
2 Ag 3183 2879 0.00      
3 Ag 3165 2863 0.00      
4 Ag 3140 2841 0.00      
5 Ag 1620 1465 0.00      
6 Ag 1611 1457 0.00      
7 Ag 1534 1388 0.00      
8 Ag 1489 1347 0.00      
9 Ag 1353 1224 0.00      
10 Ag 1184 1071 0.00      
11 Ag 1030 931 0.00      
12 Ag 941 852 0.00      
13 Ag 713 645 0.00      
14 Ag 332 300 0.00      
15 Au 3198 2893 106.97      
16 Au 3169 2867 97.07      
17 Au 1614 1460 1.45      
18 Au 1597 1445 6.54      
19 Au 1412 1278 1.15      
20 Au 1257 1137 0.36      
21 Au 1082 979 2.09      
22 Au 959 867 0.51      
23 Au 281 254 0.01      
24 Au 257 233 0.02      
25 Bg 3210 2904 0.00      
26 Bg 3197 2892 0.00      
27 Bg 1610 1456 0.00      
28 Bg 1394 1261 0.00      
29 Bg 1358 1228 0.00      
30 Bg 1225 1108 0.00      
31 Bg 984 890 0.00      
32 Bg 866 783 0.00      
33 Bg 410 371 0.00      
34 Bg 282 255 0.00      
35 Bu 3222 2915 177.27      
36 Bu 3195 2890 91.37      
37 Bu 3165 2863 11.99      
38 Bu 3140 2841 72.29      
39 Bu 1611 1457 10.70      
40 Bu 1534 1388 5.75      
41 Bu 1484 1342 8.71      
42 Bu 1403 1269 1.24      
43 Bu 1294 1170 0.37      
44 Bu 1114 1008 0.80      
45 Bu 972 880 1.00      
46 Bu 831 752 1.10      
47 Bu 459 415 0.05      
48 Bu 73i 66i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 38602.1 cm-1
Scaled (by 0.9046) Zero Point Vibrational Energy (zpe) 34919.5 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 HF/daug-cc-pVTZ
ABC
0.27830 0.07589 0.06771

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/daug-cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
C2 0.000 0.000 -1.091
C3 0.000 1.100 0.000
C4 0.000 -1.100 0.000
C5 1.187 2.047 0.000
C6 -1.187 -2.047 0.000
H7 0.876 0.005 1.728
H8 -0.876 -0.005 1.728
H9 0.876 0.005 -1.728
H10 -0.876 -0.005 -1.728
H11 -0.915 1.679 0.000
H12 0.915 -1.679 0.000
H13 2.124 1.498 0.000
H14 -2.124 -1.498 0.000
H15 1.178 2.685 -0.877
H16 1.178 2.685 0.877
H17 -1.178 -2.685 -0.877
H18 -1.178 -2.685 0.877

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18201.54901.54902.60552.60551.08331.08332.95182.95182.20182.20182.81872.81873.53162.93993.53162.9399
C22.18201.54901.54902.60552.60552.95182.95181.08331.08332.20182.20182.81872.81872.93993.53162.93993.5316
C31.54901.54902.19931.51873.36292.22512.23022.22512.23021.08322.92592.16103.35542.16132.16134.05994.0599
C41.54901.54902.19933.36291.51872.23022.22512.23022.22512.92591.08323.35542.16104.05994.05992.16132.1613
C52.60552.60551.51873.36294.73232.69253.38432.69253.38432.13413.73611.08574.85061.08531.08535.36235.3623
C62.60552.60553.36291.51874.73233.38432.69253.38432.69253.73612.13414.85061.08575.36235.36231.08531.0853
H71.08332.95182.22512.23022.69253.38431.75283.45543.87452.99952.41342.60193.77443.74982.82784.27143.4900
H81.08332.95182.23022.22513.38432.69251.75283.87453.45542.41342.99953.77442.60194.27143.49003.74982.8278
H92.95181.08332.22512.23022.69253.38433.45543.87451.75282.99952.41342.60193.77442.82783.74983.49004.2714
H102.95181.08332.23022.22513.38432.69253.87453.45541.75282.41342.99953.77442.60193.49004.27142.82783.7498
H112.20182.20181.08322.92592.13413.73612.99952.41342.99952.41343.82513.04443.39952.48222.48224.45984.4598
H122.20182.20182.92591.08323.73612.13412.41342.99952.41342.99953.82513.39953.04444.45984.45982.48222.4822
H132.81872.81872.16103.35541.08574.85062.60193.77442.60193.77443.04443.39955.19801.75371.75375.40095.4009
H142.81872.81873.35542.16104.85061.08573.77442.60193.77442.60193.39953.04445.19805.40095.40091.75371.7537
H153.53162.93992.16134.05991.08535.36233.74984.27142.82783.49002.48224.45981.75375.40091.75495.86436.1213
H162.93993.53162.16134.05991.08535.36232.82783.49003.74984.27142.48224.45981.75375.40091.75496.12135.8643
H173.53162.93994.05992.16135.36231.08534.27143.74983.49002.82784.45982.48225.40091.75375.86436.12131.7549
H182.93993.53164.05992.16135.36231.08533.49002.82784.27143.74984.45982.48225.40091.75376.12135.86431.7549

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.545 C1 C3 C5 116.275
C1 C3 H11 112.331 C1 C4 C2 89.545
C1 C4 C6 116.275 C1 C4 H12 112.331
C2 C3 C5 116.275 C2 C3 H11 112.331
C2 C4 C6 116.275 C2 C4 H12 112.331
C3 C1 C4 90.455 C3 C1 H7 114.242
C3 C1 H8 114.667 C3 C2 C4 90.455
C3 C2 H9 114.242 C3 C2 H10 114.667
C3 C5 H13 111.055 C3 C5 H15 111.100
C3 C5 H16 111.100 C4 C1 H7 114.667
C4 C1 H8 114.242 C4 C2 H9 114.667
C4 C2 H10 114.242 C4 C6 H14 111.055
C4 C6 H17 111.100 C4 C6 H18 111.100
C5 C3 H11 109.063 C6 C4 H12 109.063
H7 C1 H8 108.000 H9 C2 H10 108.000
H13 C5 H15 107.762 H13 C5 H16 107.762
H14 C6 H17 107.762 H14 C6 H18 107.762
H15 C5 H16 107.906 H17 C6 H18 107.906
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -1.272      
2 C -1.272      
3 C 0.563      
4 C 0.563      
5 C -1.375      
6 C -1.375      
7 H 0.355      
8 H 0.355      
9 H 0.355      
10 H 0.355      
11 H 0.330      
12 H 0.330      
13 H 0.460      
14 H 0.460      
15 H 0.292      
16 H 0.292      
17 H 0.292      
18 H 0.292      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.108 -0.825 0.000
y -0.825 -40.879 0.000
z 0.000 0.000 -40.774
Traceless
 xyz
x 0.718 -0.825 0.000
y -0.825 -0.438 0.000
z 0.000 0.000 -0.280
Polar
3z2-r2-0.560
x2-y20.771
xy-0.825
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.470 0.998 0.000
y 0.998 10.993 0.000
z 0.000 0.000 9.801


<r2> (average value of r2) Å2
<r2> 194.635
(<r2>)1/2 13.951

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HF/daug-cc-pVTZ
 hartrees
Energy at 0K-234.251255
Energy at 298.15K-234.265020
HF Energy-234.251255
Nuclear repulsion energy250.407400
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 HF/daug-cc-pVTZ
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' 3220 2913 180.18      
2 A' 3204 2899 40.60      
3 A' 3198 2893 38.16      
4 A' 3183 2879 7.74      
5 A' 3165 2863 7.29      
6 A' 3163 2861 11.26      
7 A' 3145 2845 40.69      
8 A' 3142 2842 32.14      
9 A' 1625 1470 3.22      
10 A' 1612 1458 3.45      
11 A' 1609 1456 5.25      
12 A' 1537 1390 6.51      
13 A' 1536 1389 0.80      
14 A' 1499 1356 2.08      
15 A' 1487 1345 7.60      
16 A' 1402 1268 1.28      
17 A' 1352 1223 0.47      
18 A' 1296 1172 0.30      
19 A' 1197 1083 0.45      
20 A' 1115 1009 0.62      
21 A' 1033 934 0.57      
22 A' 1015 918 0.36      
23 A' 922 834 0.51      
24 A' 846 765 0.77      
25 A' 692 626 1.02      
26 A' 461 417 0.03      
27 A' 346 313 0.06      
28 A' 103 94 0.01      
29 A" 3208 2902 29.71      
30 A" 3200 2895 39.98      
31 A" 3196 2892 45.96      
32 A" 3164 2863 94.79      
33 A" 1613 1459 2.25      
34 A" 1610 1457 0.35      
35 A" 1597 1445 4.79      
36 A" 1415 1280 0.56      
37 A" 1390 1258 0.00      
38 A" 1350 1221 0.10      
39 A" 1238 1120 0.42      
40 A" 1223 1106 0.00      
41 A" 1073 971 1.92      
42 A" 967 875 0.06      
43 A" 964 872 0.41      
44 A" 869 786 0.02      
45 A" 401 363 0.00      
46 A" 278 252 0.03      
47 A" 266 241 0.00      
48 A" 248 225 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 38687.0 cm-1
Scaled (by 0.9046) Zero Point Vibrational Energy (zpe) 34996.3 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 HF/daug-cc-pVTZ
ABC
0.26389 0.07718 0.07028

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/daug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.250 0.082 1.077
C2 0.250 0.082 -1.077
C3 -0.655 0.721 0.000
C4 0.838 -0.861 0.000
C5 -0.839 2.226 0.000
C6 0.250 -2.264 0.000
H7 0.988 0.784 1.448
H8 -0.238 -0.383 1.926
H9 0.988 0.784 -1.448
H10 -0.238 -0.383 -1.926
H11 -1.627 0.242 0.000
H12 1.919 -0.929 0.000
H13 0.120 2.736 0.000
H14 -0.835 -2.240 0.000
H15 -1.388 2.554 -0.877
H16 -1.388 2.554 0.877
H17 0.568 -2.817 -0.877
H18 0.568 -2.817 0.877

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15451.54521.54742.63532.58071.08401.08352.72313.07812.17032.22862.86732.78023.55142.97243.51042.9228
C22.15451.54521.54742.63532.58072.72313.07811.08401.08352.17032.22862.86732.78022.97243.55142.92283.5104
C31.54521.54522.17481.51653.11872.19052.25902.19052.25901.08413.05692.15832.96702.15992.15993.84473.8447
C41.54741.54742.17483.51291.52092.19652.25732.19652.25732.70071.08303.66752.16834.16934.16932.16072.1607
C52.63532.63531.51653.51294.61992.74093.29842.74093.29842.13514.19021.08524.46681.08531.08535.30875.3087
C62.58072.58073.11871.52094.61993.45372.73593.45372.73593.13102.13695.00091.08525.16315.16311.08491.0849
H71.08402.72312.19052.19652.74093.45371.75812.89623.77483.03782.42852.58073.81653.76583.01724.30693.6699
H81.08353.07812.25902.25733.29842.73591.75813.77483.85252.45612.94243.68292.74194.21943.32403.79912.7702
H92.72311.08402.19052.19652.74093.45372.89623.77481.75813.03782.42852.58073.81653.01723.76583.66994.3069
H103.07811.08352.25902.25733.29842.73593.77483.85251.75812.45612.94243.68292.74193.32404.21942.77023.7991
H112.17032.17031.08412.70072.13513.13103.03782.45613.03782.45613.73443.04452.60612.48362.48363.86623.8662
H122.22862.22863.05691.08304.19022.13692.42852.94242.42852.94243.73444.08233.05014.88194.88192.48172.4817
H132.86732.86732.15833.66751.08525.00092.58073.68292.58073.68293.04454.08235.06691.75381.75385.63935.6393
H142.78022.78022.96702.16834.46681.08523.81652.74193.81652.74192.60613.05015.06694.90494.90491.75231.7523
H153.55142.97242.15994.16931.08535.16313.76584.21943.01723.32402.48364.88191.75384.90491.75325.71585.9788
H162.97243.55142.15994.16931.08535.16313.01723.32403.76584.21942.48364.88191.75384.90491.75325.97885.7158
H173.51042.92283.84472.16075.30871.08494.30693.79913.66992.77023.86622.48175.63931.75235.71585.97881.7545
H182.92283.51043.84472.16075.30871.08493.66992.77024.30693.79913.86622.48175.63931.75235.97885.71581.7545

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 88.402 C1 C3 C5 118.799
C1 C3 H11 110.025 C1 C4 C2 88.244
C1 C4 C6 114.509 C1 C4 H12 114.676
C2 C3 C5 118.799 C2 C3 H11 110.025
C2 C4 C6 114.509 C2 C4 H12 114.676
C3 C1 C4 89.376 C3 C1 H7 111.643
C3 C1 H8 117.408 C3 C2 C4 89.376
C3 C2 H9 111.643 C3 C2 H10 117.408
C3 C5 H13 111.030 C3 C5 H15 111.149
C3 C5 H16 111.149 C4 C1 H7 111.973
C4 C1 H8 117.086 C4 C2 H9 111.973
C4 C2 H10 117.086 C4 C6 H14 111.520
C4 C6 H17 110.923 C4 C6 H18 110.923
C5 C3 H11 109.247 C6 C4 H12 109.138
H7 C1 H8 108.410 H9 C2 H10 108.410
H13 C5 H15 107.804 H13 C5 H16 107.804
H14 C6 H17 107.697 H14 C6 H18 107.697
H15 C5 H16 107.748 H17 C6 H18 107.918
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -1.308      
2 C -1.308      
3 C 0.821      
4 C 0.325      
5 C -1.462      
6 C -1.492      
7 H 0.319      
8 H 0.529      
9 H 0.319      
10 H 0.529      
11 H 0.116      
12 H 0.619      
13 H 0.395      
14 H 0.422      
15 H 0.289      
16 H 0.289      
17 H 0.300      
18 H 0.300      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 -0.022 0.000 0.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.762 0.350 0.000
y 0.350 -41.247 0.000
z 0.000 0.000 -40.724
Traceless
 xyz
x 1.223 0.350 0.000
y 0.350 -1.004 0.000
z 0.000 0.000 -0.219
Polar
3z2-r2-0.439
x2-y21.485
xy0.350
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.281 -0.672 0.000
y -0.672 11.208 0.000
z 0.000 0.000 9.772


<r2> (average value of r2) Å2
<r2> 191.678
(<r2>)1/2 13.845