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

using model chemistry: mPW1PW91/6-31G(2df,p)

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 mPW1PW91/6-31G(2df,p)
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G(2df,p)
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-235.814355
Energy at 298.15K-235.827730
HF Energy-235.814355
Nuclear repulsion energy249.992830
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 mPW1PW91/6-31G(2df,p)
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' 3133 2992 98.88      
2 A' 3127 2985 14.54      
3 A' 3123 2982 23.80      
4 A' 3085 2946 19.46      
5 A' 3072 2932 11.09      
6 A' 3067 2928 6.46      
7 A' 3048 2910 27.00      
8 A' 3046 2908 28.34      
9 A' 1504 1436 8.28      
10 A' 1497 1429 1.84      
11 A' 1493 1426 1.91      
12 A' 1413 1349 5.93      
13 A' 1411 1347 2.22      
14 A' 1384 1321 0.33      
15 A' 1367 1305 11.36      
16 A' 1287 1228 1.33      
17 A' 1259 1202 0.49      
18 A' 1206 1151 0.30      
19 A' 1152 1099 0.37      
20 A' 1061 1013 0.68      
21 A' 963 919 1.22      
22 A' 953 910 0.75      
23 A' 874 834 1.18      
24 A' 816 779 0.89      
25 A' 649 619 1.73      
26 A' 422 403 0.12      
27 A' 323 308 0.12      
28 A' 95 91 0.01      
29 A" 3130 2988 31.24      
30 A" 3128 2986 21.25      
31 A" 3125 2983 9.27      
32 A" 3066 2928 66.70      
33 A" 1500 1432 3.23      
34 A" 1497 1429 0.31      
35 A" 1471 1404 2.94      
36 A" 1299 1240 0.93      
37 A" 1276 1219 0.00      
38 A" 1236 1180 0.12      
39 A" 1150 1098 0.48      
40 A" 1137 1085 0.02      
41 A" 998 953 3.36      
42 A" 923 881 0.00      
43 A" 914 873 0.00      
44 A" 807 770 0.28      
45 A" 372 355 0.01      
46 A" 258 246 0.13      
47 A" 252 241 0.00      
48 A" 234 223 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 36799.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 35132.3 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 mPW1PW91/6-31G(2df,p)
ABC
0.26030 0.07741 0.07064

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.262 0.089 1.078
C2 0.262 0.089 -1.078
C3 -0.661 0.706 0.000
C4 0.858 -0.852 0.000
C5 -0.884 2.203 0.000
C6 0.262 -2.250 0.000
H7 0.997 0.816 1.436
H8 -0.210 -0.380 1.945
H9 0.997 0.816 -1.436
H10 -0.210 -0.380 -1.945
H11 -1.627 0.192 0.000
H12 1.949 -0.921 0.000
H13 0.071 2.739 0.000
H14 -0.832 -2.217 0.000
H15 -1.444 2.524 -0.884
H16 -1.444 2.524 0.884
H17 0.575 -2.813 -0.884
H18 0.575 -2.813 0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15561.54741.54962.63542.57521.09401.09312.71803.09532.17782.24172.86772.77083.56222.98003.51702.9251
C22.15561.54741.54962.63542.57522.71803.09531.09401.09312.17782.24172.86772.77082.98003.56222.92513.5170
C31.54741.54742.17541.51393.09652.19602.27262.19602.27261.09463.07512.16132.92802.16812.16813.83313.8331
C41.54961.54962.17543.51661.51922.20552.26862.20552.26862.69511.09323.67662.17214.18064.18062.16962.1696
C52.63542.63541.51393.51664.59822.74273.30272.74273.30272.14444.21721.09504.42071.09441.09445.29845.2984
C62.57522.57523.09651.51924.59823.46442.73943.46442.73943.08752.14664.99301.09495.14625.14621.09421.0942
H71.09402.71802.19602.20552.74273.46441.77382.87193.78393.05582.44672.57263.82213.77573.03014.32823.6950
H81.09313.09532.27262.26863.30272.73941.77383.78393.89012.47342.95583.68662.74714.23743.32893.81372.7683
H92.71801.09402.19602.20552.74273.46442.87193.78391.77383.05582.44672.57263.82213.03013.77573.69504.3282
H103.09531.09312.27262.26863.30272.73943.78393.89011.77382.47342.95583.68662.74713.32894.23742.76833.8137
H112.17782.17781.09462.69512.14443.08753.05582.47343.05582.47343.74503.06182.53682.50072.50073.82913.8291
H122.24172.24173.07511.09324.21722.14662.44672.95582.44672.95583.74504.11423.06764.91564.91562.49932.4993
H132.86772.86772.16133.67661.09504.99302.57263.68662.57263.68663.06184.11425.03821.76721.76725.64505.6450
H142.77082.77082.92802.17214.42071.09493.82212.74713.82212.74712.53683.06765.03824.86164.86161.76571.7657
H153.56222.98002.16814.18061.09445.14623.77574.23743.03013.32892.50074.91561.76724.86161.76705.70645.9740
H162.98003.56222.16814.18061.09445.14623.03013.32893.77574.23742.50074.91561.76724.86161.76705.97405.7064
H173.51702.92513.83312.16965.29841.09424.32823.81373.69502.76833.82912.49935.64501.76575.70645.97401.7689
H182.92513.51703.83312.16965.29841.09423.69502.76834.32823.81373.82912.49935.64501.76575.97405.70641.7689

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 88.296 C1 C3 C5 118.826
C1 C3 H11 109.848 C1 C4 C2 88.141
C1 C4 C6 114.093 C1 C4 H12 114.949
C2 C3 C5 118.826 C2 C3 H11 109.848
C2 C4 C6 114.093 C2 C4 H12 114.949
C3 C1 C4 89.241 C3 C1 H7 111.319
C3 C1 H8 117.746 C3 C2 C4 89.241
C3 C2 H9 111.319 C3 C2 H10 117.746
C3 C5 H13 110.856 C3 C5 H15 111.432
C3 C5 H16 111.432 C4 C1 H7 111.932
C4 C1 H8 117.232 C4 C2 H9 111.932
C4 C2 H10 117.232 C4 C6 H14 111.352
C4 C6 H17 111.193 C4 C6 H18 111.193
C5 C3 H11 109.541 C6 C4 H12 109.427
H7 C1 H8 108.391 H9 C2 H10 108.391
H13 C5 H15 107.638 H13 C5 H16 107.638
H14 C6 H17 107.530 H14 C6 H18 107.530
H15 C5 H16 107.661 H17 C6 H18 107.859
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.279      
2 C -0.279      
3 C 0.002      
4 C -0.029      
5 C -0.473      
6 C -0.457      
7 H 0.122      
8 H 0.119      
9 H 0.122      
10 H 0.119      
11 H 0.105      
12 H 0.098      
13 H 0.135      
14 H 0.138      
15 H 0.139      
16 H 0.139      
17 H 0.139      
18 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.018 -0.003 0.000 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.795 0.361 0.000
y 0.361 -39.833 0.000
z 0.000 0.000 -39.522
Traceless
 xyz
x 0.882 0.361 0.000
y 0.361 -0.674 0.000
z 0.000 0.000 -0.208
Polar
3z2-r2-0.416
x2-y21.038
xy0.361
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.676 -0.624 0.000
y -0.624 10.453 0.000
z 0.000 0.000 9.006


<r2> (average value of r2) Å2
<r2> 190.793
(<r2>)1/2 13.813