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All results from a given calculation for C4H6(CH3)2 (1,1-dimethylcyclobutane)

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

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

Conformer 1 (C2V)

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-235.450620
Energy at 298.15K-235.463932
Nuclear repulsion energy252.407185
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 PBEPBE/6-31G
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' 3079 3036 75.64      
2 A' 3054 3012 26.96      
3 A' 3053 3011 44.55      
4 A' 3048 3006 7.00      
5 A' 3014 2972 29.07      
6 A' 3000 2959 12.79      
7 A' 2967 2926 33.66      
8 A' 2962 2921 36.06      
9 A' 1502 1481 6.07      
10 A' 1498 1478 0.57      
11 A' 1489 1469 6.70      
12 A' 1479 1458 0.09      
13 A' 1411 1391 2.61      
14 A' 1394 1374 12.03      
15 A' 1302 1284 6.68      
16 A' 1273 1256 9.21      
17 A' 1224 1207 0.91      
18 A' 1192 1176 0.36      
19 A' 999 986 0.95      
20 A' 976 963 0.50      
21 A' 946 933 0.82      
22 A' 911 899 0.73      
23 A' 858 846 0.32      
24 A' 705 696 1.94      
25 A' 600 591 1.35      
26 A' 392 386 0.32      
27 A' 345 340 0.07      
28 A' 134 133 0.02      
29 A" 3059 3016 16.70      
30 A" 3049 3007 51.36      
31 A" 3042 3000 6.00      
32 A" 2995 2954 70.53      
33 A" 1503 1483 7.76      
34 A" 1483 1462 0.51      
35 A" 1474 1453 5.50      
36 A" 1261 1243 0.27      
37 A" 1242 1225 0.05      
38 A" 1213 1197 0.83      
39 A" 1164 1148 5.54      
40 A" 1077 1062 0.11      
41 A" 984 970 0.00      
42 A" 938 925 1.90      
43 A" 860 848 0.02      
44 A" 790 779 0.21      
45 A" 384 379 0.25      
46 A" 298 293 0.01      
47 A" 260 256 0.03      
48 A" 221 218 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 36049.9 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 35552.4 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 PBEPBE/6-31G
ABC
0.16271 0.10097 0.09247

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.091 0.413 0.000
C2 0.331 -1.756 0.000
C3 -0.091 -0.724 1.096
C4 -0.091 -0.724 -1.096
C5 1.229 1.205 0.000
C6 -1.298 1.357 0.000
H7 1.417 -1.948 0.000
H8 -0.191 -2.726 0.000
H9 0.590 -0.583 1.953
H10 0.590 -0.583 -1.953
H11 -1.108 -0.917 1.480
H12 -1.108 -0.917 -1.480
H13 2.104 0.531 0.000
H14 -2.247 0.790 0.000
H15 1.299 1.852 -0.894
H16 1.299 1.852 0.894
H17 -1.291 2.009 0.893
H18 -1.291 2.009 -0.893

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.21001.57901.57901.53911.53242.80213.14092.29562.29562.23512.23512.19802.18862.19082.19082.18772.1877
C22.21001.56341.56343.09453.51361.10311.10182.29232.29232.22822.22822.89353.62333.84083.84084.19634.1963
C31.57901.56342.19132.58132.64342.23042.28471.10343.12651.10432.77602.75522.85303.53892.93322.99203.5870
C41.57901.56342.19132.58132.64342.23042.28473.12651.10342.77601.10432.75522.85302.93323.53893.58702.9920
C51.53913.09452.58132.58132.53173.15924.18002.72412.72413.48663.48661.10503.50031.10571.10572.79192.7919
C61.53243.51362.64342.64342.53174.27784.23023.33813.33812.72012.72013.50121.10492.79102.79101.10611.1061
H72.80211.10312.23042.23043.15924.27781.78702.52192.52193.10323.10322.57224.57433.90553.90554.87834.8783
H83.14091.10182.28472.28474.18004.23021.78703.00223.00222.51032.51033.98434.07264.89644.89644.94284.9428
H92.29562.29231.10343.12652.72413.33812.52193.00223.90521.79353.84412.71043.70753.81282.74803.37414.2848
H102.29562.29233.12651.10342.72413.33812.52193.00223.90523.84411.79352.71043.70752.74803.81284.28483.3741
H112.23512.22821.10432.77603.48662.72013.10322.51031.79353.84412.96033.82142.53044.37003.71502.99063.7725
H122.23512.22822.77601.10433.48662.72013.10322.51033.84411.79352.96033.82142.53043.71504.37003.77252.9906
H132.19802.89352.75522.75521.10503.50122.57223.98432.71042.71043.82143.82144.35851.78701.78703.80943.8094
H142.18863.62332.85302.85303.50031.10494.57434.07263.70753.70752.53042.53044.35853.80763.80761.78821.7882
H152.19083.84083.53892.93321.10572.79103.90554.89643.81282.74804.37003.71501.78703.80761.78893.15092.5948
H162.19083.84082.93323.53891.10572.79103.90554.89642.74803.81283.71504.37001.78703.80761.78892.59483.1509
H172.18774.19632.99203.58702.79191.10614.87834.94283.37414.28482.99063.77253.80941.78823.15092.59481.7863
H182.18774.19633.58702.99202.79191.10614.87834.94284.28483.37413.77252.99063.80941.78822.59483.15091.7863

picture of 1,1-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.381 C1 C3 H9 116.576
C1 C3 H11 111.582 C1 C4 C2 89.381
C1 C4 H10 116.576 C1 C4 H12 111.582
C1 C5 H13 111.399 C1 C5 H15 110.792
C1 C5 H16 110.792 C1 C6 H14 111.127
C1 C6 H17 110.988 C1 C6 H18 110.988
C2 C3 H9 117.496 C2 C3 H11 112.135
C2 C4 H10 117.496 C2 C4 H12 112.135
C3 C1 C4 87.878 C3 C1 C5 111.750
C3 C1 C6 116.320 C3 C2 C4 88.984
C3 C2 H7 112.384 C3 C2 H8 116.953
C4 C1 C5 111.750 C4 C1 C6 116.320
C4 C2 H7 112.384 C4 C2 H8 116.953
C5 C1 C6 111.023 H7 C2 H8 108.285
H9 C3 H11 108.666 H10 C4 H12 108.666
H13 C5 H15 107.867 H13 C5 H16 107.867
H14 C6 H17 107.949 H14 C6 H18 107.949
H15 C5 H16 107.986 H17 C6 H18 107.693
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.022      
2 C -0.296      
3 C -0.273      
4 C -0.273      
5 C -0.445      
6 C -0.453      
7 H 0.149      
8 H 0.142      
9 H 0.138      
10 H 0.138      
11 H 0.142      
12 H 0.142      
13 H 0.145      
14 H 0.141      
15 H 0.145      
16 H 0.145      
17 H 0.145      
18 H 0.145      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.007 0.039 0.000 0.040
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.434 0.230 0.000
y 0.230 -40.193 0.000
z 0.000 0.000 -40.117
Traceless
 xyz
x 0.721 0.230 0.000
y 0.230 -0.417 0.000
z 0.000 0.000 -0.304
Polar
3z2-r2-0.607
x2-y20.759
xy0.230
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.028 -0.074 0.000
y -0.074 9.768 0.000
z 0.000 0.000 8.870


<r2> (average value of r2) Å2
<r2> 170.902
(<r2>)1/2 13.073